TSTP Solution File: MSC015-1.030 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MSC015-1.030 : TPTP v8.1.2. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 09:21:17 EDT 2023

% Result   : Unsatisfiable 1.49s 1.58s
% Output   : CNFRefutation 1.75s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    s0: $i ).

tff(decl_23,type,
    p: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_24,type,
    s1: $i ).

cnf(goal,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(rule1,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,s1)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,s0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1) ).

cnf(rule2,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,s1,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,s0,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2) ).

cnf(rule3,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,s1,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,s0,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3) ).

cnf(rule4,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,s1,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,s0,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4) ).

cnf(rule5,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s0,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5) ).

cnf(rule6,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s0,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule6) ).

cnf(rule7,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule7) ).

cnf(rule8,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule8) ).

cnf(rule9,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule9) ).

cnf(rule10,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule10) ).

cnf(rule11,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule11) ).

cnf(rule12,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule12) ).

cnf(rule13,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule13) ).

cnf(rule14,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule14) ).

cnf(rule15,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule15) ).

cnf(rule16,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule16) ).

cnf(rule17,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule17) ).

cnf(rule18,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule18) ).

cnf(rule19,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule19) ).

cnf(rule20,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule20) ).

cnf(rule21,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule21) ).

cnf(rule22,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule22) ).

cnf(rule23,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule23) ).

cnf(rule24,axiom,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule24) ).

cnf(rule25,axiom,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule25) ).

cnf(rule26,axiom,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule26) ).

cnf(rule27,axiom,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule27) ).

cnf(rule28,axiom,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule28) ).

cnf(rule29,axiom,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule29) ).

cnf(rule30,axiom,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule30) ).

cnf(init,axiom,
    p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',init) ).

cnf(c_0_32,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1),
    goal ).

cnf(c_0_33,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,s1)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,s0) ),
    rule1 ).

cnf(c_0_34,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_35,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,s1,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,s0,s1) ),
    rule2 ).

cnf(c_0_36,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_37,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,s1,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,s0,s1,s1) ),
    rule3 ).

cnf(c_0_38,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_36,c_0_33]) ).

cnf(c_0_39,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,s1,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_33]) ).

cnf(c_0_40,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,s1,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,s0,s1,s1,s1) ),
    rule4 ).

cnf(c_0_41,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,s1,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,s0,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_40,c_0_33]) ).

cnf(c_0_43,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s0,s1,s1,s1,s1) ),
    rule5 ).

cnf(c_0_44,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_41,c_0_35]) ).

cnf(c_0_45,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,s1,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,s0,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_35]) ).

cnf(c_0_46,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s0,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_33]) ).

cnf(c_0_47,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s0,s1,s1,s1,s1,s1) ),
    rule6 ).

cnf(c_0_48,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_44,c_0_33]) ).

cnf(c_0_49,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,s1,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_33]) ).

cnf(c_0_50,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s0,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_35]) ).

cnf(c_0_51,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s0,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_33]) ).

cnf(c_0_52,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s1,s1,s1,s1,s1) ),
    rule7 ).

cnf(c_0_53,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s0,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_33]) ).

cnf(c_0_55,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s0,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_35]) ).

cnf(c_0_56,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_33]) ).

cnf(c_0_57,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s1,s1,s1,s1,s1) ),
    rule8 ).

cnf(c_0_58,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_53,c_0_39]) ).

cnf(c_0_59,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s0,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_39]) ).

cnf(c_0_60,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s0,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_55,c_0_33]) ).

cnf(c_0_61,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_35]) ).

cnf(c_0_62,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_33]) ).

cnf(c_0_63,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule9 ).

cnf(c_0_64,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_58,c_0_35]) ).

cnf(c_0_65,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s0,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_35]) ).

cnf(c_0_66,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s0,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_39]) ).

cnf(c_0_67,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_33]) ).

cnf(c_0_68,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_35]) ).

cnf(c_0_69,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_63,c_0_33]) ).

cnf(c_0_70,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule10 ).

cnf(c_0_71,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_64,c_0_33]) ).

cnf(c_0_72,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_33]) ).

cnf(c_0_73,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s0,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_35]) ).

cnf(c_0_74,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_39]) ).

cnf(c_0_75,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_68,c_0_33]) ).

cnf(c_0_76,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_35]) ).

cnf(c_0_77,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_70,c_0_33]) ).

cnf(c_0_78,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule11 ).

cnf(c_0_79,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_80,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s0,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_73,c_0_33]) ).

cnf(c_0_81,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_35]) ).

cnf(c_0_82,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_39]) ).

cnf(c_0_83,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_76,c_0_33]) ).

cnf(c_0_84,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_35]) ).

cnf(c_0_85,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_78,c_0_33]) ).

cnf(c_0_86,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule12 ).

cnf(c_0_87,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_79,c_0_49]) ).

cnf(c_0_88,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s0,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_80,c_0_49]) ).

cnf(c_0_89,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_81,c_0_33]) ).

cnf(c_0_90,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_35]) ).

cnf(c_0_91,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_83,c_0_39]) ).

cnf(c_0_92,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_84,c_0_33]) ).

cnf(c_0_93,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_85,c_0_35]) ).

cnf(c_0_94,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_86,c_0_33]) ).

cnf(c_0_95,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule13 ).

cnf(c_0_96,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_87,c_0_39]) ).

cnf(c_0_97,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s0,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_88,c_0_39]) ).

cnf(c_0_98,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_89,c_0_49]) ).

cnf(c_0_99,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_90,c_0_33]) ).

cnf(c_0_100,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_91,c_0_35]) ).

cnf(c_0_101,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_92,c_0_39]) ).

cnf(c_0_102,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_93,c_0_33]) ).

cnf(c_0_103,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_94,c_0_35]) ).

cnf(c_0_104,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_33]) ).

cnf(c_0_105,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule14 ).

cnf(c_0_106,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_96,c_0_35]) ).

cnf(c_0_107,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s0,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_97,c_0_35]) ).

cnf(c_0_108,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_98,c_0_39]) ).

cnf(c_0_109,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_99,c_0_49]) ).

cnf(c_0_110,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_100,c_0_33]) ).

cnf(c_0_111,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_101,c_0_35]) ).

cnf(c_0_112,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_102,c_0_39]) ).

cnf(c_0_113,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_33]) ).

cnf(c_0_114,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_104,c_0_35]) ).

cnf(c_0_115,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_33]) ).

cnf(c_0_116,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule15 ).

cnf(c_0_117,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_106,c_0_33]) ).

cnf(c_0_118,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_33]) ).

cnf(c_0_119,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_35]) ).

cnf(c_0_120,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_109,c_0_39]) ).

cnf(c_0_121,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_110,c_0_49]) ).

cnf(c_0_122,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_33]) ).

cnf(c_0_123,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_35]) ).

cnf(c_0_124,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_39]) ).

cnf(c_0_125,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_114,c_0_33]) ).

cnf(c_0_126,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_115,c_0_35]) ).

cnf(c_0_127,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_33]) ).

cnf(c_0_128,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule16 ).

cnf(c_0_129,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_130,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_119,c_0_33]) ).

cnf(c_0_131,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_35]) ).

cnf(c_0_132,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_39]) ).

cnf(c_0_133,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_122,c_0_49]) ).

cnf(c_0_134,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_123,c_0_33]) ).

cnf(c_0_135,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_124,c_0_35]) ).

cnf(c_0_136,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_125,c_0_39]) ).

cnf(c_0_137,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_126,c_0_33]) ).

cnf(c_0_138,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_127,c_0_35]) ).

cnf(c_0_139,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_33]) ).

cnf(c_0_140,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule17 ).

cnf(c_0_141,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_129,c_0_72]) ).

cnf(c_0_142,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_72]) ).

cnf(c_0_143,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_131,c_0_33]) ).

cnf(c_0_144,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_132,c_0_35]) ).

cnf(c_0_145,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_133,c_0_39]) ).

cnf(c_0_146,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_134,c_0_49]) ).

cnf(c_0_147,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_135,c_0_33]) ).

cnf(c_0_148,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_136,c_0_35]) ).

cnf(c_0_149,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_137,c_0_39]) ).

cnf(c_0_150,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_138,c_0_33]) ).

cnf(c_0_151,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_35]) ).

cnf(c_0_152,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_33]) ).

cnf(c_0_153,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule18 ).

cnf(c_0_154,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_141,c_0_49]) ).

cnf(c_0_155,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_142,c_0_49]) ).

cnf(c_0_156,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_143,c_0_72]) ).

cnf(c_0_157,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_144,c_0_33]) ).

cnf(c_0_158,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_145,c_0_35]) ).

cnf(c_0_159,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_39]) ).

cnf(c_0_160,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_147,c_0_49]) ).

cnf(c_0_161,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_148,c_0_33]) ).

cnf(c_0_162,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_149,c_0_35]) ).

cnf(c_0_163,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_39]) ).

cnf(c_0_164,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_151,c_0_33]) ).

cnf(c_0_165,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_152,c_0_35]) ).

cnf(c_0_166,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_33]) ).

cnf(c_0_167,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule19 ).

cnf(c_0_168,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_154,c_0_39]) ).

cnf(c_0_169,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_155,c_0_39]) ).

cnf(c_0_170,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_49]) ).

cnf(c_0_171,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_157,c_0_72]) ).

cnf(c_0_172,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_158,c_0_33]) ).

cnf(c_0_173,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_159,c_0_35]) ).

cnf(c_0_174,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_160,c_0_39]) ).

cnf(c_0_175,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_161,c_0_49]) ).

cnf(c_0_176,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_33]) ).

cnf(c_0_177,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_163,c_0_35]) ).

cnf(c_0_178,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_39]) ).

cnf(c_0_179,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_165,c_0_33]) ).

cnf(c_0_180,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_35]) ).

cnf(c_0_181,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_167,c_0_33]) ).

cnf(c_0_182,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule20 ).

cnf(c_0_183,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_168,c_0_35]) ).

cnf(c_0_184,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_169,c_0_35]) ).

cnf(c_0_185,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_170,c_0_39]) ).

cnf(c_0_186,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_171,c_0_49]) ).

cnf(c_0_187,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_172,c_0_72]) ).

cnf(c_0_188,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_33]) ).

cnf(c_0_189,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_174,c_0_35]) ).

cnf(c_0_190,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_39]) ).

cnf(c_0_191,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_49]) ).

cnf(c_0_192,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_177,c_0_33]) ).

cnf(c_0_193,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_178,c_0_35]) ).

cnf(c_0_194,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_179,c_0_39]) ).

cnf(c_0_195,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_180,c_0_33]) ).

cnf(c_0_196,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_181,c_0_35]) ).

cnf(c_0_197,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_182,c_0_33]) ).

cnf(c_0_198,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule21 ).

cnf(c_0_199,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_183,c_0_33]) ).

cnf(c_0_200,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_184,c_0_33]) ).

cnf(c_0_201,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_185,c_0_35]) ).

cnf(c_0_202,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_186,c_0_39]) ).

cnf(c_0_203,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_187,c_0_49]) ).

cnf(c_0_204,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_188,c_0_72]) ).

cnf(c_0_205,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_189,c_0_33]) ).

cnf(c_0_206,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_190,c_0_35]) ).

cnf(c_0_207,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_191,c_0_39]) ).

cnf(c_0_208,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_49]) ).

cnf(c_0_209,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_193,c_0_33]) ).

cnf(c_0_210,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_194,c_0_35]) ).

cnf(c_0_211,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_195,c_0_39]) ).

cnf(c_0_212,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_196,c_0_33]) ).

cnf(c_0_213,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_197,c_0_35]) ).

cnf(c_0_214,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_198,c_0_33]) ).

cnf(c_0_215,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule22 ).

cnf(c_0_216,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_217,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_201,c_0_33]) ).

cnf(c_0_218,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_202,c_0_35]) ).

cnf(c_0_219,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_203,c_0_39]) ).

cnf(c_0_220,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_204,c_0_49]) ).

cnf(c_0_221,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_205,c_0_72]) ).

cnf(c_0_222,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_206,c_0_33]) ).

cnf(c_0_223,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_207,c_0_35]) ).

cnf(c_0_224,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_208,c_0_39]) ).

cnf(c_0_225,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_209,c_0_49]) ).

cnf(c_0_226,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_210,c_0_33]) ).

cnf(c_0_227,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_211,c_0_35]) ).

cnf(c_0_228,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_212,c_0_39]) ).

cnf(c_0_229,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_33]) ).

cnf(c_0_230,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_214,c_0_35]) ).

cnf(c_0_231,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_215,c_0_33]) ).

cnf(c_0_232,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule23 ).

cnf(c_0_233,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_216,c_0_118]) ).

cnf(c_0_234,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_217,c_0_118]) ).

cnf(c_0_235,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_218,c_0_33]) ).

cnf(c_0_236,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_219,c_0_35]) ).

cnf(c_0_237,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_220,c_0_39]) ).

cnf(c_0_238,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_221,c_0_49]) ).

cnf(c_0_239,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_222,c_0_72]) ).

cnf(c_0_240,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_223,c_0_33]) ).

cnf(c_0_241,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_224,c_0_35]) ).

cnf(c_0_242,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_225,c_0_39]) ).

cnf(c_0_243,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_226,c_0_49]) ).

cnf(c_0_244,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_227,c_0_33]) ).

cnf(c_0_245,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_228,c_0_35]) ).

cnf(c_0_246,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_229,c_0_39]) ).

cnf(c_0_247,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_230,c_0_33]) ).

cnf(c_0_248,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_35]) ).

cnf(c_0_249,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_232,c_0_33]) ).

cnf(c_0_250,axiom,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule24 ).

cnf(c_0_251,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_233,c_0_72]) ).

cnf(c_0_252,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_234,c_0_72]) ).

cnf(c_0_253,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_235,c_0_118]) ).

cnf(c_0_254,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_236,c_0_33]) ).

cnf(c_0_255,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_237,c_0_35]) ).

cnf(c_0_256,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_238,c_0_39]) ).

cnf(c_0_257,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_239,c_0_49]) ).

cnf(c_0_258,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_240,c_0_72]) ).

cnf(c_0_259,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_241,c_0_33]) ).

cnf(c_0_260,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_242,c_0_35]) ).

cnf(c_0_261,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_243,c_0_39]) ).

cnf(c_0_262,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_244,c_0_49]) ).

cnf(c_0_263,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_245,c_0_33]) ).

cnf(c_0_264,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_246,c_0_35]) ).

cnf(c_0_265,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_247,c_0_39]) ).

cnf(c_0_266,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_248,c_0_33]) ).

cnf(c_0_267,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_249,c_0_35]) ).

cnf(c_0_268,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_250,c_0_33]) ).

cnf(c_0_269,axiom,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule25 ).

cnf(c_0_270,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_251,c_0_49]) ).

cnf(c_0_271,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_252,c_0_49]) ).

cnf(c_0_272,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_253,c_0_72]) ).

cnf(c_0_273,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_254,c_0_118]) ).

cnf(c_0_274,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_255,c_0_33]) ).

cnf(c_0_275,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_256,c_0_35]) ).

cnf(c_0_276,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_257,c_0_39]) ).

cnf(c_0_277,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_258,c_0_49]) ).

cnf(c_0_278,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_259,c_0_72]) ).

cnf(c_0_279,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_260,c_0_33]) ).

cnf(c_0_280,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_261,c_0_35]) ).

cnf(c_0_281,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_262,c_0_39]) ).

cnf(c_0_282,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_263,c_0_49]) ).

cnf(c_0_283,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_264,c_0_33]) ).

cnf(c_0_284,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_265,c_0_35]) ).

cnf(c_0_285,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_266,c_0_39]) ).

cnf(c_0_286,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_267,c_0_33]) ).

cnf(c_0_287,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_268,c_0_35]) ).

cnf(c_0_288,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_269,c_0_33]) ).

cnf(c_0_289,axiom,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule26 ).

cnf(c_0_290,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_270,c_0_39]) ).

cnf(c_0_291,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_271,c_0_39]) ).

cnf(c_0_292,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_272,c_0_49]) ).

cnf(c_0_293,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_273,c_0_72]) ).

cnf(c_0_294,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_274,c_0_118]) ).

cnf(c_0_295,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_275,c_0_33]) ).

cnf(c_0_296,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_276,c_0_35]) ).

cnf(c_0_297,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_277,c_0_39]) ).

cnf(c_0_298,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_278,c_0_49]) ).

cnf(c_0_299,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_279,c_0_72]) ).

cnf(c_0_300,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_280,c_0_33]) ).

cnf(c_0_301,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_281,c_0_35]) ).

cnf(c_0_302,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_282,c_0_39]) ).

cnf(c_0_303,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_283,c_0_49]) ).

cnf(c_0_304,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_284,c_0_33]) ).

cnf(c_0_305,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_285,c_0_35]) ).

cnf(c_0_306,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_286,c_0_39]) ).

cnf(c_0_307,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_287,c_0_33]) ).

cnf(c_0_308,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_288,c_0_35]) ).

cnf(c_0_309,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_289,c_0_33]) ).

cnf(c_0_310,axiom,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule27 ).

cnf(c_0_311,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_290,c_0_35]) ).

cnf(c_0_312,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_291,c_0_35]) ).

cnf(c_0_313,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_292,c_0_39]) ).

cnf(c_0_314,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_293,c_0_49]) ).

cnf(c_0_315,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_294,c_0_72]) ).

cnf(c_0_316,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_118]) ).

cnf(c_0_317,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_296,c_0_33]) ).

cnf(c_0_318,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_297,c_0_35]) ).

cnf(c_0_319,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_298,c_0_39]) ).

cnf(c_0_320,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_299,c_0_49]) ).

cnf(c_0_321,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_300,c_0_72]) ).

cnf(c_0_322,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_301,c_0_33]) ).

cnf(c_0_323,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_302,c_0_35]) ).

cnf(c_0_324,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_303,c_0_39]) ).

cnf(c_0_325,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_304,c_0_49]) ).

cnf(c_0_326,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_305,c_0_33]) ).

cnf(c_0_327,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_306,c_0_35]) ).

cnf(c_0_328,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_307,c_0_39]) ).

cnf(c_0_329,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_308,c_0_33]) ).

cnf(c_0_330,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_309,c_0_35]) ).

cnf(c_0_331,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_310,c_0_33]) ).

cnf(c_0_332,axiom,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule28 ).

cnf(c_0_333,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_311,c_0_33]) ).

cnf(c_0_334,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_312,c_0_33]) ).

cnf(c_0_335,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_313,c_0_35]) ).

cnf(c_0_336,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_314,c_0_39]) ).

cnf(c_0_337,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_315,c_0_49]) ).

cnf(c_0_338,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_316,c_0_72]) ).

cnf(c_0_339,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_317,c_0_118]) ).

cnf(c_0_340,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_318,c_0_33]) ).

cnf(c_0_341,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_35]) ).

cnf(c_0_342,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_320,c_0_39]) ).

cnf(c_0_343,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_321,c_0_49]) ).

cnf(c_0_344,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_322,c_0_72]) ).

cnf(c_0_345,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_323,c_0_33]) ).

cnf(c_0_346,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_324,c_0_35]) ).

cnf(c_0_347,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_325,c_0_39]) ).

cnf(c_0_348,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_326,c_0_49]) ).

cnf(c_0_349,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_327,c_0_33]) ).

cnf(c_0_350,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_328,c_0_35]) ).

cnf(c_0_351,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_329,c_0_39]) ).

cnf(c_0_352,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_330,c_0_33]) ).

cnf(c_0_353,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_331,c_0_35]) ).

cnf(c_0_354,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_332,c_0_33]) ).

cnf(c_0_355,axiom,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule29 ).

cnf(c_0_356,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_333,c_0_334]) ).

cnf(c_0_357,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_335,c_0_33]) ).

cnf(c_0_358,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_336,c_0_35]) ).

cnf(c_0_359,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_337,c_0_39]) ).

cnf(c_0_360,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_338,c_0_49]) ).

cnf(c_0_361,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_339,c_0_72]) ).

cnf(c_0_362,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_340,c_0_118]) ).

cnf(c_0_363,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_341,c_0_33]) ).

cnf(c_0_364,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_342,c_0_35]) ).

cnf(c_0_365,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_343,c_0_39]) ).

cnf(c_0_366,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_344,c_0_49]) ).

cnf(c_0_367,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_345,c_0_72]) ).

cnf(c_0_368,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_346,c_0_33]) ).

cnf(c_0_369,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_347,c_0_35]) ).

cnf(c_0_370,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_348,c_0_39]) ).

cnf(c_0_371,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_349,c_0_49]) ).

cnf(c_0_372,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_350,c_0_33]) ).

cnf(c_0_373,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_351,c_0_35]) ).

cnf(c_0_374,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_352,c_0_39]) ).

cnf(c_0_375,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_353,c_0_33]) ).

cnf(c_0_376,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_354,c_0_35]) ).

cnf(c_0_377,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_355,c_0_33]) ).

cnf(c_0_378,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_356,c_0_200]) ).

cnf(c_0_379,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_357,c_0_200]) ).

cnf(c_0_380,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_358,c_0_33]) ).

cnf(c_0_381,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_359,c_0_35]) ).

cnf(c_0_382,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_360,c_0_39]) ).

cnf(c_0_383,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_361,c_0_49]) ).

cnf(c_0_384,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_362,c_0_72]) ).

cnf(c_0_385,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_363,c_0_118]) ).

cnf(c_0_386,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_364,c_0_33]) ).

cnf(c_0_387,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_365,c_0_35]) ).

cnf(c_0_388,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_366,c_0_39]) ).

cnf(c_0_389,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_367,c_0_49]) ).

cnf(c_0_390,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_368,c_0_72]) ).

cnf(c_0_391,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_369,c_0_33]) ).

cnf(c_0_392,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_370,c_0_35]) ).

cnf(c_0_393,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_371,c_0_39]) ).

cnf(c_0_394,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_372,c_0_49]) ).

cnf(c_0_395,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_373,c_0_33]) ).

cnf(c_0_396,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_374,c_0_35]) ).

cnf(c_0_397,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_375,c_0_39]) ).

cnf(c_0_398,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_376,c_0_33]) ).

cnf(c_0_399,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_377,c_0_35]) ).

cnf(c_0_400,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_378,c_0_118]) ).

cnf(c_0_401,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_379,c_0_118]) ).

cnf(c_0_402,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_380,c_0_200]) ).

cnf(c_0_403,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_381,c_0_33]) ).

cnf(c_0_404,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_382,c_0_35]) ).

cnf(c_0_405,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_383,c_0_39]) ).

cnf(c_0_406,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_384,c_0_49]) ).

cnf(c_0_407,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_385,c_0_72]) ).

cnf(c_0_408,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_386,c_0_118]) ).

cnf(c_0_409,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_387,c_0_33]) ).

cnf(c_0_410,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_388,c_0_35]) ).

cnf(c_0_411,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_389,c_0_39]) ).

cnf(c_0_412,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_390,c_0_49]) ).

cnf(c_0_413,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_391,c_0_72]) ).

cnf(c_0_414,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_392,c_0_33]) ).

cnf(c_0_415,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_393,c_0_35]) ).

cnf(c_0_416,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_394,c_0_39]) ).

cnf(c_0_417,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_395,c_0_49]) ).

cnf(c_0_418,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_396,c_0_33]) ).

cnf(c_0_419,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_397,c_0_35]) ).

cnf(c_0_420,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_398,c_0_39]) ).

cnf(c_0_421,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_399,c_0_33]) ).

cnf(c_0_422,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_400,c_0_72]) ).

cnf(c_0_423,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_401,c_0_72]) ).

cnf(c_0_424,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_402,c_0_118]) ).

cnf(c_0_425,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_403,c_0_200]) ).

cnf(c_0_426,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_404,c_0_33]) ).

cnf(c_0_427,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_405,c_0_35]) ).

cnf(c_0_428,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_406,c_0_39]) ).

cnf(c_0_429,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_407,c_0_49]) ).

cnf(c_0_430,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_408,c_0_72]) ).

cnf(c_0_431,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_409,c_0_118]) ).

cnf(c_0_432,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_410,c_0_33]) ).

cnf(c_0_433,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_411,c_0_35]) ).

cnf(c_0_434,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_412,c_0_39]) ).

cnf(c_0_435,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_413,c_0_49]) ).

cnf(c_0_436,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_414,c_0_72]) ).

cnf(c_0_437,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_415,c_0_33]) ).

cnf(c_0_438,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_416,c_0_35]) ).

cnf(c_0_439,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_417,c_0_39]) ).

cnf(c_0_440,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_418,c_0_49]) ).

cnf(c_0_441,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_419,c_0_33]) ).

cnf(c_0_442,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_420,c_0_35]) ).

cnf(c_0_443,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_421,c_0_39]) ).

cnf(c_0_444,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_422,c_0_49]) ).

cnf(c_0_445,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_423,c_0_49]) ).

cnf(c_0_446,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_424,c_0_72]) ).

cnf(c_0_447,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_425,c_0_118]) ).

cnf(c_0_448,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_426,c_0_200]) ).

cnf(c_0_449,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_427,c_0_33]) ).

cnf(c_0_450,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_428,c_0_35]) ).

cnf(c_0_451,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_429,c_0_39]) ).

cnf(c_0_452,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_430,c_0_49]) ).

cnf(c_0_453,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_431,c_0_72]) ).

cnf(c_0_454,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_432,c_0_118]) ).

cnf(c_0_455,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_433,c_0_33]) ).

cnf(c_0_456,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_434,c_0_35]) ).

cnf(c_0_457,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_435,c_0_39]) ).

cnf(c_0_458,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_436,c_0_49]) ).

cnf(c_0_459,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_437,c_0_72]) ).

cnf(c_0_460,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_438,c_0_33]) ).

cnf(c_0_461,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_439,c_0_35]) ).

cnf(c_0_462,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_440,c_0_39]) ).

cnf(c_0_463,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_441,c_0_49]) ).

cnf(c_0_464,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_442,c_0_33]) ).

cnf(c_0_465,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_443,c_0_35]) ).

cnf(c_0_466,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_444,c_0_39]) ).

cnf(c_0_467,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_445,c_0_39]) ).

cnf(c_0_468,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_446,c_0_49]) ).

cnf(c_0_469,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_447,c_0_72]) ).

cnf(c_0_470,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_448,c_0_118]) ).

cnf(c_0_471,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_449,c_0_200]) ).

cnf(c_0_472,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_450,c_0_33]) ).

cnf(c_0_473,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_451,c_0_35]) ).

cnf(c_0_474,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_452,c_0_39]) ).

cnf(c_0_475,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_453,c_0_49]) ).

cnf(c_0_476,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_454,c_0_72]) ).

cnf(c_0_477,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_455,c_0_118]) ).

cnf(c_0_478,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_456,c_0_33]) ).

cnf(c_0_479,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_457,c_0_35]) ).

cnf(c_0_480,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_458,c_0_39]) ).

cnf(c_0_481,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_459,c_0_49]) ).

cnf(c_0_482,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_460,c_0_72]) ).

cnf(c_0_483,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_461,c_0_33]) ).

cnf(c_0_484,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_462,c_0_35]) ).

cnf(c_0_485,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_463,c_0_39]) ).

cnf(c_0_486,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_464,c_0_49]) ).

cnf(c_0_487,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_465,c_0_33]) ).

cnf(c_0_488,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_466,c_0_35]) ).

cnf(c_0_489,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_467,c_0_35]) ).

cnf(c_0_490,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_468,c_0_39]) ).

cnf(c_0_491,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_469,c_0_49]) ).

cnf(c_0_492,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_470,c_0_72]) ).

cnf(c_0_493,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_471,c_0_118]) ).

cnf(c_0_494,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_472,c_0_200]) ).

cnf(c_0_495,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_473,c_0_33]) ).

cnf(c_0_496,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_474,c_0_35]) ).

cnf(c_0_497,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_475,c_0_39]) ).

cnf(c_0_498,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_476,c_0_49]) ).

cnf(c_0_499,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_477,c_0_72]) ).

cnf(c_0_500,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_478,c_0_118]) ).

cnf(c_0_501,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_479,c_0_33]) ).

cnf(c_0_502,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_480,c_0_35]) ).

cnf(c_0_503,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_481,c_0_39]) ).

cnf(c_0_504,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_482,c_0_49]) ).

cnf(c_0_505,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_483,c_0_72]) ).

cnf(c_0_506,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_484,c_0_33]) ).

cnf(c_0_507,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_485,c_0_35]) ).

cnf(c_0_508,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_486,c_0_39]) ).

cnf(c_0_509,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_487,c_0_49]) ).

cnf(c_0_510,axiom,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule30 ).

cnf(c_0_511,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_488,c_0_33]) ).

cnf(c_0_512,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_489,c_0_33]) ).

cnf(c_0_513,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_490,c_0_35]) ).

cnf(c_0_514,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_491,c_0_39]) ).

cnf(c_0_515,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_492,c_0_49]) ).

cnf(c_0_516,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_493,c_0_72]) ).

cnf(c_0_517,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_494,c_0_118]) ).

cnf(c_0_518,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_495,c_0_200]) ).

cnf(c_0_519,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_496,c_0_33]) ).

cnf(c_0_520,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_497,c_0_35]) ).

cnf(c_0_521,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_498,c_0_39]) ).

cnf(c_0_522,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_499,c_0_49]) ).

cnf(c_0_523,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_500,c_0_72]) ).

cnf(c_0_524,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_501,c_0_118]) ).

cnf(c_0_525,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_502,c_0_33]) ).

cnf(c_0_526,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_503,c_0_35]) ).

cnf(c_0_527,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_504,c_0_39]) ).

cnf(c_0_528,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_505,c_0_49]) ).

cnf(c_0_529,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_506,c_0_72]) ).

cnf(c_0_530,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_507,c_0_33]) ).

cnf(c_0_531,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_508,c_0_35]) ).

cnf(c_0_532,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_509,c_0_39]) ).

cnf(c_0_533,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_510,c_0_33]) ).

cnf(c_0_534,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_511,c_0_512]) ).

cnf(c_0_535,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_513,c_0_33]) ).

cnf(c_0_536,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_514,c_0_35]) ).

cnf(c_0_537,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_515,c_0_39]) ).

cnf(c_0_538,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_516,c_0_49]) ).

cnf(c_0_539,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_517,c_0_72]) ).

cnf(c_0_540,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_518,c_0_118]) ).

cnf(c_0_541,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_519,c_0_200]) ).

cnf(c_0_542,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_520,c_0_33]) ).

cnf(c_0_543,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_521,c_0_35]) ).

cnf(c_0_544,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_522,c_0_39]) ).

cnf(c_0_545,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_523,c_0_49]) ).

cnf(c_0_546,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_524,c_0_72]) ).

cnf(c_0_547,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_525,c_0_118]) ).

cnf(c_0_548,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_526,c_0_33]) ).

cnf(c_0_549,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_527,c_0_35]) ).

cnf(c_0_550,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_528,c_0_39]) ).

cnf(c_0_551,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_529,c_0_49]) ).

cnf(c_0_552,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_530,c_0_72]) ).

cnf(c_0_553,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_531,c_0_33]) ).

cnf(c_0_554,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_532,c_0_35]) ).

cnf(c_0_555,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_533,c_0_35]) ).

cnf(c_0_556,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_534,c_0_334]) ).

cnf(c_0_557,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_535,c_0_334]) ).

cnf(c_0_558,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_536,c_0_33]) ).

cnf(c_0_559,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_537,c_0_35]) ).

cnf(c_0_560,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_538,c_0_39]) ).

cnf(c_0_561,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_539,c_0_49]) ).

cnf(c_0_562,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_540,c_0_72]) ).

cnf(c_0_563,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_541,c_0_118]) ).

cnf(c_0_564,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_542,c_0_200]) ).

cnf(c_0_565,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_543,c_0_33]) ).

cnf(c_0_566,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_544,c_0_35]) ).

cnf(c_0_567,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_545,c_0_39]) ).

cnf(c_0_568,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_546,c_0_49]) ).

cnf(c_0_569,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_547,c_0_72]) ).

cnf(c_0_570,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_548,c_0_118]) ).

cnf(c_0_571,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_549,c_0_33]) ).

cnf(c_0_572,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_550,c_0_35]) ).

cnf(c_0_573,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_551,c_0_39]) ).

cnf(c_0_574,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_552,c_0_49]) ).

cnf(c_0_575,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_553,c_0_72]) ).

cnf(c_0_576,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_554,c_0_33]) ).

cnf(c_0_577,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_555,c_0_33]) ).

cnf(c_0_578,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_556,c_0_200]) ).

cnf(c_0_579,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_557,c_0_200]) ).

cnf(c_0_580,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_558,c_0_334]) ).

cnf(c_0_581,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_559,c_0_33]) ).

cnf(c_0_582,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_560,c_0_35]) ).

cnf(c_0_583,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_561,c_0_39]) ).

cnf(c_0_584,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_562,c_0_49]) ).

cnf(c_0_585,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_563,c_0_72]) ).

cnf(c_0_586,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_564,c_0_118]) ).

cnf(c_0_587,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_565,c_0_200]) ).

cnf(c_0_588,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_566,c_0_33]) ).

cnf(c_0_589,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_567,c_0_35]) ).

cnf(c_0_590,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_568,c_0_39]) ).

cnf(c_0_591,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_569,c_0_49]) ).

cnf(c_0_592,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_570,c_0_72]) ).

cnf(c_0_593,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_571,c_0_118]) ).

cnf(c_0_594,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_572,c_0_33]) ).

cnf(c_0_595,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_573,c_0_35]) ).

cnf(c_0_596,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_574,c_0_39]) ).

cnf(c_0_597,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_575,c_0_49]) ).

cnf(c_0_598,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_576,c_0_72]) ).

cnf(c_0_599,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_577,c_0_39]) ).

cnf(c_0_600,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_578,c_0_118]) ).

cnf(c_0_601,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_579,c_0_118]) ).

cnf(c_0_602,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_580,c_0_200]) ).

cnf(c_0_603,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_581,c_0_334]) ).

cnf(c_0_604,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_582,c_0_33]) ).

cnf(c_0_605,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_583,c_0_35]) ).

cnf(c_0_606,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_584,c_0_39]) ).

cnf(c_0_607,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_585,c_0_49]) ).

cnf(c_0_608,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_586,c_0_72]) ).

cnf(c_0_609,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_587,c_0_118]) ).

cnf(c_0_610,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_588,c_0_200]) ).

cnf(c_0_611,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_589,c_0_33]) ).

cnf(c_0_612,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_590,c_0_35]) ).

cnf(c_0_613,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_591,c_0_39]) ).

cnf(c_0_614,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_592,c_0_49]) ).

cnf(c_0_615,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_593,c_0_72]) ).

cnf(c_0_616,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_594,c_0_118]) ).

cnf(c_0_617,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_595,c_0_33]) ).

cnf(c_0_618,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_596,c_0_35]) ).

cnf(c_0_619,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_597,c_0_39]) ).

cnf(c_0_620,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_598,c_0_49]) ).

cnf(c_0_621,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_599,c_0_35]) ).

cnf(c_0_622,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_600,c_0_72]) ).

cnf(c_0_623,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_601,c_0_72]) ).

cnf(c_0_624,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_602,c_0_118]) ).

cnf(c_0_625,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_603,c_0_200]) ).

cnf(c_0_626,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_604,c_0_334]) ).

cnf(c_0_627,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_605,c_0_33]) ).

cnf(c_0_628,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_606,c_0_35]) ).

cnf(c_0_629,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_607,c_0_39]) ).

cnf(c_0_630,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_608,c_0_49]) ).

cnf(c_0_631,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_609,c_0_72]) ).

cnf(c_0_632,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_610,c_0_118]) ).

cnf(c_0_633,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_611,c_0_200]) ).

cnf(c_0_634,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_612,c_0_33]) ).

cnf(c_0_635,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_613,c_0_35]) ).

cnf(c_0_636,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_614,c_0_39]) ).

cnf(c_0_637,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_615,c_0_49]) ).

cnf(c_0_638,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_616,c_0_72]) ).

cnf(c_0_639,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_617,c_0_118]) ).

cnf(c_0_640,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_618,c_0_33]) ).

cnf(c_0_641,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_619,c_0_35]) ).

cnf(c_0_642,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_620,c_0_39]) ).

cnf(c_0_643,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_621,c_0_33]) ).

cnf(c_0_644,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_622,c_0_49]) ).

cnf(c_0_645,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_623,c_0_49]) ).

cnf(c_0_646,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_624,c_0_72]) ).

cnf(c_0_647,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_625,c_0_118]) ).

cnf(c_0_648,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_626,c_0_200]) ).

cnf(c_0_649,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_627,c_0_334]) ).

cnf(c_0_650,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_628,c_0_33]) ).

cnf(c_0_651,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_629,c_0_35]) ).

cnf(c_0_652,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_630,c_0_39]) ).

cnf(c_0_653,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_631,c_0_49]) ).

cnf(c_0_654,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_632,c_0_72]) ).

cnf(c_0_655,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_633,c_0_118]) ).

cnf(c_0_656,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_634,c_0_200]) ).

cnf(c_0_657,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_635,c_0_33]) ).

cnf(c_0_658,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_636,c_0_35]) ).

cnf(c_0_659,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_637,c_0_39]) ).

cnf(c_0_660,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_638,c_0_49]) ).

cnf(c_0_661,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_639,c_0_72]) ).

cnf(c_0_662,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_640,c_0_118]) ).

cnf(c_0_663,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_641,c_0_33]) ).

cnf(c_0_664,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_642,c_0_35]) ).

cnf(c_0_665,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_643,c_0_49]) ).

cnf(c_0_666,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_644,c_0_39]) ).

cnf(c_0_667,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_645,c_0_39]) ).

cnf(c_0_668,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_646,c_0_49]) ).

cnf(c_0_669,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_647,c_0_72]) ).

cnf(c_0_670,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_648,c_0_118]) ).

cnf(c_0_671,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_649,c_0_200]) ).

cnf(c_0_672,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_650,c_0_334]) ).

cnf(c_0_673,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_651,c_0_33]) ).

cnf(c_0_674,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_652,c_0_35]) ).

cnf(c_0_675,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_653,c_0_39]) ).

cnf(c_0_676,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_654,c_0_49]) ).

cnf(c_0_677,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_655,c_0_72]) ).

cnf(c_0_678,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_656,c_0_118]) ).

cnf(c_0_679,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_657,c_0_200]) ).

cnf(c_0_680,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_658,c_0_33]) ).

cnf(c_0_681,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_659,c_0_35]) ).

cnf(c_0_682,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_660,c_0_39]) ).

cnf(c_0_683,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_661,c_0_49]) ).

cnf(c_0_684,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_662,c_0_72]) ).

cnf(c_0_685,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_663,c_0_118]) ).

cnf(c_0_686,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_664,c_0_33]) ).

cnf(c_0_687,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_665,c_0_39]) ).

cnf(c_0_688,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_666,c_0_35]) ).

cnf(c_0_689,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_667,c_0_35]) ).

cnf(c_0_690,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_668,c_0_39]) ).

cnf(c_0_691,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_669,c_0_49]) ).

cnf(c_0_692,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_670,c_0_72]) ).

cnf(c_0_693,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_671,c_0_118]) ).

cnf(c_0_694,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_672,c_0_200]) ).

cnf(c_0_695,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_673,c_0_334]) ).

cnf(c_0_696,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_674,c_0_33]) ).

cnf(c_0_697,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_675,c_0_35]) ).

cnf(c_0_698,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_676,c_0_39]) ).

cnf(c_0_699,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_677,c_0_49]) ).

cnf(c_0_700,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_678,c_0_72]) ).

cnf(c_0_701,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_679,c_0_118]) ).

cnf(c_0_702,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_680,c_0_200]) ).

cnf(c_0_703,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_681,c_0_33]) ).

cnf(c_0_704,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_682,c_0_35]) ).

cnf(c_0_705,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_683,c_0_39]) ).

cnf(c_0_706,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_684,c_0_49]) ).

cnf(c_0_707,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_685,c_0_72]) ).

cnf(c_0_708,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_686,c_0_118]) ).

cnf(c_0_709,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_687,c_0_35]) ).

cnf(c_0_710,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_688,c_0_33]) ).

cnf(c_0_711,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_689,c_0_33]) ).

cnf(c_0_712,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_690,c_0_35]) ).

cnf(c_0_713,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_691,c_0_39]) ).

cnf(c_0_714,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_692,c_0_49]) ).

cnf(c_0_715,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_693,c_0_72]) ).

cnf(c_0_716,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_694,c_0_118]) ).

cnf(c_0_717,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_695,c_0_200]) ).

cnf(c_0_718,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_696,c_0_334]) ).

cnf(c_0_719,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_697,c_0_33]) ).

cnf(c_0_720,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_698,c_0_35]) ).

cnf(c_0_721,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_699,c_0_39]) ).

cnf(c_0_722,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_700,c_0_49]) ).

cnf(c_0_723,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_701,c_0_72]) ).

cnf(c_0_724,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_702,c_0_118]) ).

cnf(c_0_725,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_703,c_0_200]) ).

cnf(c_0_726,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_704,c_0_33]) ).

cnf(c_0_727,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_705,c_0_35]) ).

cnf(c_0_728,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_706,c_0_39]) ).

cnf(c_0_729,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_707,c_0_49]) ).

cnf(c_0_730,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_708,c_0_72]) ).

cnf(c_0_731,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_709,c_0_33]) ).

cnf(c_0_732,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_710,c_0_711]) ).

cnf(c_0_733,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_712,c_0_33]) ).

cnf(c_0_734,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_713,c_0_35]) ).

cnf(c_0_735,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_714,c_0_39]) ).

cnf(c_0_736,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_715,c_0_49]) ).

cnf(c_0_737,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_716,c_0_72]) ).

cnf(c_0_738,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_717,c_0_118]) ).

cnf(c_0_739,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_718,c_0_200]) ).

cnf(c_0_740,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_719,c_0_334]) ).

cnf(c_0_741,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_720,c_0_33]) ).

cnf(c_0_742,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_721,c_0_35]) ).

cnf(c_0_743,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_722,c_0_39]) ).

cnf(c_0_744,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_723,c_0_49]) ).

cnf(c_0_745,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_724,c_0_72]) ).

cnf(c_0_746,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_725,c_0_118]) ).

cnf(c_0_747,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_726,c_0_200]) ).

cnf(c_0_748,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_727,c_0_33]) ).

cnf(c_0_749,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_728,c_0_35]) ).

cnf(c_0_750,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_729,c_0_39]) ).

cnf(c_0_751,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_730,c_0_49]) ).

cnf(c_0_752,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_731,c_0_72]) ).

cnf(c_0_753,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_732,c_0_512]) ).

cnf(c_0_754,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_733,c_0_512]) ).

cnf(c_0_755,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_734,c_0_33]) ).

cnf(c_0_756,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_735,c_0_35]) ).

cnf(c_0_757,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_736,c_0_39]) ).

cnf(c_0_758,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_737,c_0_49]) ).

cnf(c_0_759,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_738,c_0_72]) ).

cnf(c_0_760,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_739,c_0_118]) ).

cnf(c_0_761,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_740,c_0_200]) ).

cnf(c_0_762,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_741,c_0_334]) ).

cnf(c_0_763,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_742,c_0_33]) ).

cnf(c_0_764,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_743,c_0_35]) ).

cnf(c_0_765,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_744,c_0_39]) ).

cnf(c_0_766,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_745,c_0_49]) ).

cnf(c_0_767,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_746,c_0_72]) ).

cnf(c_0_768,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_747,c_0_118]) ).

cnf(c_0_769,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_748,c_0_200]) ).

cnf(c_0_770,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_749,c_0_33]) ).

cnf(c_0_771,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_750,c_0_35]) ).

cnf(c_0_772,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_751,c_0_39]) ).

cnf(c_0_773,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_752,c_0_49]) ).

cnf(c_0_774,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_753,c_0_334]) ).

cnf(c_0_775,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_754,c_0_334]) ).

cnf(c_0_776,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_755,c_0_512]) ).

cnf(c_0_777,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_756,c_0_33]) ).

cnf(c_0_778,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_757,c_0_35]) ).

cnf(c_0_779,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_758,c_0_39]) ).

cnf(c_0_780,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_759,c_0_49]) ).

cnf(c_0_781,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_760,c_0_72]) ).

cnf(c_0_782,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_761,c_0_118]) ).

cnf(c_0_783,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_762,c_0_200]) ).

cnf(c_0_784,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_763,c_0_334]) ).

cnf(c_0_785,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_764,c_0_33]) ).

cnf(c_0_786,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_765,c_0_35]) ).

cnf(c_0_787,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_766,c_0_39]) ).

cnf(c_0_788,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_767,c_0_49]) ).

cnf(c_0_789,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_768,c_0_72]) ).

cnf(c_0_790,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_769,c_0_118]) ).

cnf(c_0_791,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_770,c_0_200]) ).

cnf(c_0_792,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_771,c_0_33]) ).

cnf(c_0_793,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_772,c_0_35]) ).

cnf(c_0_794,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_773,c_0_39]) ).

cnf(c_0_795,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_774,c_0_200]) ).

cnf(c_0_796,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_775,c_0_200]) ).

cnf(c_0_797,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_776,c_0_334]) ).

cnf(c_0_798,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_777,c_0_512]) ).

cnf(c_0_799,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_778,c_0_33]) ).

cnf(c_0_800,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_779,c_0_35]) ).

cnf(c_0_801,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_780,c_0_39]) ).

cnf(c_0_802,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_781,c_0_49]) ).

cnf(c_0_803,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_782,c_0_72]) ).

cnf(c_0_804,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_783,c_0_118]) ).

cnf(c_0_805,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_784,c_0_200]) ).

cnf(c_0_806,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_785,c_0_334]) ).

cnf(c_0_807,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_786,c_0_33]) ).

cnf(c_0_808,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_787,c_0_35]) ).

cnf(c_0_809,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_788,c_0_39]) ).

cnf(c_0_810,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_789,c_0_49]) ).

cnf(c_0_811,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_790,c_0_72]) ).

cnf(c_0_812,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_791,c_0_118]) ).

cnf(c_0_813,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_792,c_0_200]) ).

cnf(c_0_814,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_793,c_0_33]) ).

cnf(c_0_815,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_794,c_0_35]) ).

cnf(c_0_816,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_795,c_0_118]) ).

cnf(c_0_817,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_796,c_0_118]) ).

cnf(c_0_818,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_797,c_0_200]) ).

cnf(c_0_819,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_798,c_0_334]) ).

cnf(c_0_820,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_799,c_0_512]) ).

cnf(c_0_821,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_800,c_0_33]) ).

cnf(c_0_822,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_801,c_0_35]) ).

cnf(c_0_823,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_802,c_0_39]) ).

cnf(c_0_824,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_803,c_0_49]) ).

cnf(c_0_825,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_804,c_0_72]) ).

cnf(c_0_826,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_805,c_0_118]) ).

cnf(c_0_827,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_806,c_0_200]) ).

cnf(c_0_828,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_807,c_0_334]) ).

cnf(c_0_829,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_808,c_0_33]) ).

cnf(c_0_830,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_809,c_0_35]) ).

cnf(c_0_831,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_810,c_0_39]) ).

cnf(c_0_832,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_811,c_0_49]) ).

cnf(c_0_833,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_812,c_0_72]) ).

cnf(c_0_834,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_813,c_0_118]) ).

cnf(c_0_835,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_814,c_0_200]) ).

cnf(c_0_836,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_815,c_0_33]) ).

cnf(c_0_837,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_816,c_0_72]) ).

cnf(c_0_838,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_817,c_0_72]) ).

cnf(c_0_839,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_818,c_0_118]) ).

cnf(c_0_840,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_819,c_0_200]) ).

cnf(c_0_841,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_820,c_0_334]) ).

cnf(c_0_842,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_821,c_0_512]) ).

cnf(c_0_843,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_822,c_0_33]) ).

cnf(c_0_844,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_823,c_0_35]) ).

cnf(c_0_845,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_824,c_0_39]) ).

cnf(c_0_846,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_825,c_0_49]) ).

cnf(c_0_847,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_826,c_0_72]) ).

cnf(c_0_848,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_827,c_0_118]) ).

cnf(c_0_849,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_828,c_0_200]) ).

cnf(c_0_850,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_829,c_0_334]) ).

cnf(c_0_851,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_830,c_0_33]) ).

cnf(c_0_852,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_831,c_0_35]) ).

cnf(c_0_853,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_832,c_0_39]) ).

cnf(c_0_854,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_833,c_0_49]) ).

cnf(c_0_855,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_834,c_0_72]) ).

cnf(c_0_856,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_835,c_0_118]) ).

cnf(c_0_857,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_836,c_0_118]) ).

cnf(c_0_858,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_837,c_0_49]) ).

cnf(c_0_859,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_838,c_0_49]) ).

cnf(c_0_860,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_839,c_0_72]) ).

cnf(c_0_861,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_840,c_0_118]) ).

cnf(c_0_862,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_841,c_0_200]) ).

cnf(c_0_863,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_842,c_0_334]) ).

cnf(c_0_864,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_843,c_0_512]) ).

cnf(c_0_865,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_844,c_0_33]) ).

cnf(c_0_866,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_845,c_0_35]) ).

cnf(c_0_867,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_846,c_0_39]) ).

cnf(c_0_868,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_847,c_0_49]) ).

cnf(c_0_869,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_848,c_0_72]) ).

cnf(c_0_870,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_849,c_0_118]) ).

cnf(c_0_871,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_850,c_0_200]) ).

cnf(c_0_872,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_851,c_0_334]) ).

cnf(c_0_873,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_852,c_0_33]) ).

cnf(c_0_874,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_853,c_0_35]) ).

cnf(c_0_875,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_854,c_0_39]) ).

cnf(c_0_876,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_855,c_0_49]) ).

cnf(c_0_877,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_856,c_0_72]) ).

cnf(c_0_878,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_857,c_0_72]) ).

cnf(c_0_879,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_858,c_0_39]) ).

cnf(c_0_880,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_859,c_0_39]) ).

cnf(c_0_881,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_860,c_0_49]) ).

cnf(c_0_882,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_861,c_0_72]) ).

cnf(c_0_883,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_862,c_0_118]) ).

cnf(c_0_884,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_863,c_0_200]) ).

cnf(c_0_885,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_864,c_0_334]) ).

cnf(c_0_886,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_865,c_0_512]) ).

cnf(c_0_887,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_866,c_0_33]) ).

cnf(c_0_888,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_867,c_0_35]) ).

cnf(c_0_889,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_868,c_0_39]) ).

cnf(c_0_890,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_869,c_0_49]) ).

cnf(c_0_891,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_870,c_0_72]) ).

cnf(c_0_892,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_871,c_0_118]) ).

cnf(c_0_893,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_872,c_0_200]) ).

cnf(c_0_894,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_873,c_0_334]) ).

cnf(c_0_895,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_874,c_0_33]) ).

cnf(c_0_896,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_875,c_0_35]) ).

cnf(c_0_897,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_876,c_0_39]) ).

cnf(c_0_898,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_877,c_0_49]) ).

cnf(c_0_899,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_878,c_0_49]) ).

cnf(c_0_900,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_879,c_0_35]) ).

cnf(c_0_901,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_880,c_0_35]) ).

cnf(c_0_902,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_881,c_0_39]) ).

cnf(c_0_903,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_882,c_0_49]) ).

cnf(c_0_904,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_883,c_0_72]) ).

cnf(c_0_905,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_884,c_0_118]) ).

cnf(c_0_906,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_885,c_0_200]) ).

cnf(c_0_907,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_886,c_0_334]) ).

cnf(c_0_908,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_887,c_0_512]) ).

cnf(c_0_909,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_888,c_0_33]) ).

cnf(c_0_910,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_889,c_0_35]) ).

cnf(c_0_911,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_890,c_0_39]) ).

cnf(c_0_912,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_891,c_0_49]) ).

cnf(c_0_913,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_892,c_0_72]) ).

cnf(c_0_914,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_893,c_0_118]) ).

cnf(c_0_915,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_894,c_0_200]) ).

cnf(c_0_916,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_895,c_0_334]) ).

cnf(c_0_917,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_896,c_0_33]) ).

cnf(c_0_918,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_897,c_0_35]) ).

cnf(c_0_919,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_898,c_0_39]) ).

cnf(c_0_920,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_899,c_0_39]) ).

cnf(c_0_921,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_900,c_0_33]) ).

cnf(c_0_922,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_901,c_0_33]) ).

cnf(c_0_923,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_902,c_0_35]) ).

cnf(c_0_924,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_903,c_0_39]) ).

cnf(c_0_925,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_904,c_0_49]) ).

cnf(c_0_926,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_905,c_0_72]) ).

cnf(c_0_927,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_906,c_0_118]) ).

cnf(c_0_928,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_907,c_0_200]) ).

cnf(c_0_929,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_908,c_0_334]) ).

cnf(c_0_930,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_909,c_0_512]) ).

cnf(c_0_931,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_910,c_0_33]) ).

cnf(c_0_932,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_911,c_0_35]) ).

cnf(c_0_933,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_912,c_0_39]) ).

cnf(c_0_934,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_913,c_0_49]) ).

cnf(c_0_935,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_914,c_0_72]) ).

cnf(c_0_936,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_915,c_0_118]) ).

cnf(c_0_937,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_916,c_0_200]) ).

cnf(c_0_938,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_917,c_0_334]) ).

cnf(c_0_939,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_918,c_0_33]) ).

cnf(c_0_940,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_919,c_0_35]) ).

cnf(c_0_941,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_920,c_0_35]) ).

cnf(c_0_942,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_921,c_0_922]) ).

cnf(c_0_943,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_923,c_0_33]) ).

cnf(c_0_944,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_924,c_0_35]) ).

cnf(c_0_945,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_925,c_0_39]) ).

cnf(c_0_946,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_926,c_0_49]) ).

cnf(c_0_947,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_927,c_0_72]) ).

cnf(c_0_948,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_928,c_0_118]) ).

cnf(c_0_949,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_929,c_0_200]) ).

cnf(c_0_950,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_930,c_0_334]) ).

cnf(c_0_951,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_931,c_0_512]) ).

cnf(c_0_952,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_932,c_0_33]) ).

cnf(c_0_953,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_933,c_0_35]) ).

cnf(c_0_954,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_934,c_0_39]) ).

cnf(c_0_955,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_935,c_0_49]) ).

cnf(c_0_956,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_936,c_0_72]) ).

cnf(c_0_957,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_937,c_0_118]) ).

cnf(c_0_958,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_938,c_0_200]) ).

cnf(c_0_959,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_939,c_0_334]) ).

cnf(c_0_960,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_940,c_0_33]) ).

cnf(c_0_961,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_941,c_0_33]) ).

cnf(c_0_962,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_942,c_0_711]) ).

cnf(c_0_963,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_943,c_0_711]) ).

cnf(c_0_964,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_944,c_0_33]) ).

cnf(c_0_965,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_945,c_0_35]) ).

cnf(c_0_966,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_946,c_0_39]) ).

cnf(c_0_967,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_947,c_0_49]) ).

cnf(c_0_968,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_948,c_0_72]) ).

cnf(c_0_969,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_949,c_0_118]) ).

cnf(c_0_970,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_950,c_0_200]) ).

cnf(c_0_971,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_951,c_0_334]) ).

cnf(c_0_972,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_952,c_0_512]) ).

cnf(c_0_973,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_953,c_0_33]) ).

cnf(c_0_974,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_954,c_0_35]) ).

cnf(c_0_975,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_955,c_0_39]) ).

cnf(c_0_976,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_956,c_0_49]) ).

cnf(c_0_977,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_957,c_0_72]) ).

cnf(c_0_978,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_958,c_0_118]) ).

cnf(c_0_979,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_959,c_0_200]) ).

cnf(c_0_980,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_960,c_0_334]) ).

cnf(c_0_981,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_961,c_0_200]) ).

cnf(c_0_982,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_962,c_0_512]) ).

cnf(c_0_983,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_963,c_0_512]) ).

cnf(c_0_984,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_964,c_0_711]) ).

cnf(c_0_985,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_965,c_0_33]) ).

cnf(c_0_986,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_966,c_0_35]) ).

cnf(c_0_987,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_967,c_0_39]) ).

cnf(c_0_988,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_968,c_0_49]) ).

cnf(c_0_989,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_969,c_0_72]) ).

cnf(c_0_990,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_970,c_0_118]) ).

cnf(c_0_991,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_971,c_0_200]) ).

cnf(c_0_992,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_972,c_0_334]) ).

cnf(c_0_993,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_973,c_0_512]) ).

cnf(c_0_994,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_974,c_0_33]) ).

cnf(c_0_995,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_975,c_0_35]) ).

cnf(c_0_996,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_976,c_0_39]) ).

cnf(c_0_997,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_977,c_0_49]) ).

cnf(c_0_998,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_978,c_0_72]) ).

cnf(c_0_999,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_979,c_0_118]) ).

cnf(c_0_1000,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_980,c_0_200]) ).

cnf(c_0_1001,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_981,c_0_118]) ).

cnf(c_0_1002,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_982,c_0_334]) ).

cnf(c_0_1003,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_983,c_0_334]) ).

cnf(c_0_1004,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_984,c_0_512]) ).

cnf(c_0_1005,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_985,c_0_711]) ).

cnf(c_0_1006,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_986,c_0_33]) ).

cnf(c_0_1007,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_987,c_0_35]) ).

cnf(c_0_1008,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_988,c_0_39]) ).

cnf(c_0_1009,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_989,c_0_49]) ).

cnf(c_0_1010,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_990,c_0_72]) ).

cnf(c_0_1011,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_991,c_0_118]) ).

cnf(c_0_1012,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_992,c_0_200]) ).

cnf(c_0_1013,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_993,c_0_334]) ).

cnf(c_0_1014,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_994,c_0_512]) ).

cnf(c_0_1015,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_995,c_0_33]) ).

cnf(c_0_1016,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_996,c_0_35]) ).

cnf(c_0_1017,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_997,c_0_39]) ).

cnf(c_0_1018,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_998,c_0_49]) ).

cnf(c_0_1019,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_999,c_0_72]) ).

cnf(c_0_1020,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1000,c_0_118]) ).

cnf(c_0_1021,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1001,c_0_72]) ).

cnf(c_0_1022,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1002,c_0_200]) ).

cnf(c_0_1023,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1003,c_0_200]) ).

cnf(c_0_1024,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1004,c_0_334]) ).

cnf(c_0_1025,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1005,c_0_512]) ).

cnf(c_0_1026,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1006,c_0_711]) ).

cnf(c_0_1027,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1007,c_0_33]) ).

cnf(c_0_1028,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1008,c_0_35]) ).

cnf(c_0_1029,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1009,c_0_39]) ).

cnf(c_0_1030,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1010,c_0_49]) ).

cnf(c_0_1031,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1011,c_0_72]) ).

cnf(c_0_1032,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1012,c_0_118]) ).

cnf(c_0_1033,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1013,c_0_200]) ).

cnf(c_0_1034,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1014,c_0_334]) ).

cnf(c_0_1035,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1015,c_0_512]) ).

cnf(c_0_1036,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1016,c_0_33]) ).

cnf(c_0_1037,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1017,c_0_35]) ).

cnf(c_0_1038,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_39]) ).

cnf(c_0_1039,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1019,c_0_49]) ).

cnf(c_0_1040,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1020,c_0_72]) ).

cnf(c_0_1041,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1021,c_0_49]) ).

cnf(c_0_1042,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1022,c_0_118]) ).

cnf(c_0_1043,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1023,c_0_118]) ).

cnf(c_0_1044,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1024,c_0_200]) ).

cnf(c_0_1045,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1025,c_0_334]) ).

cnf(c_0_1046,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1026,c_0_512]) ).

cnf(c_0_1047,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1027,c_0_711]) ).

cnf(c_0_1048,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1028,c_0_33]) ).

cnf(c_0_1049,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1029,c_0_35]) ).

cnf(c_0_1050,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1030,c_0_39]) ).

cnf(c_0_1051,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1031,c_0_49]) ).

cnf(c_0_1052,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1032,c_0_72]) ).

cnf(c_0_1053,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1033,c_0_118]) ).

cnf(c_0_1054,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1034,c_0_200]) ).

cnf(c_0_1055,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1035,c_0_334]) ).

cnf(c_0_1056,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1036,c_0_512]) ).

cnf(c_0_1057,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1037,c_0_33]) ).

cnf(c_0_1058,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1038,c_0_35]) ).

cnf(c_0_1059,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1039,c_0_39]) ).

cnf(c_0_1060,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1040,c_0_49]) ).

cnf(c_0_1061,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1041,c_0_39]) ).

cnf(c_0_1062,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1042,c_0_72]) ).

cnf(c_0_1063,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1043,c_0_72]) ).

cnf(c_0_1064,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1044,c_0_118]) ).

cnf(c_0_1065,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1045,c_0_200]) ).

cnf(c_0_1066,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1046,c_0_334]) ).

cnf(c_0_1067,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1047,c_0_512]) ).

cnf(c_0_1068,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1048,c_0_711]) ).

cnf(c_0_1069,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1049,c_0_33]) ).

cnf(c_0_1070,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1050,c_0_35]) ).

cnf(c_0_1071,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1051,c_0_39]) ).

cnf(c_0_1072,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1052,c_0_49]) ).

cnf(c_0_1073,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1053,c_0_72]) ).

cnf(c_0_1074,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1054,c_0_118]) ).

cnf(c_0_1075,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1055,c_0_200]) ).

cnf(c_0_1076,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1056,c_0_334]) ).

cnf(c_0_1077,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1057,c_0_512]) ).

cnf(c_0_1078,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1058,c_0_33]) ).

cnf(c_0_1079,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1059,c_0_35]) ).

cnf(c_0_1080,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1060,c_0_39]) ).

cnf(c_0_1081,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1061,c_0_35]) ).

cnf(c_0_1082,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_1062,c_0_49]) ).

cnf(c_0_1083,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1063,c_0_49]) ).

cnf(c_0_1084,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1064,c_0_72]) ).

cnf(c_0_1085,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1065,c_0_118]) ).

cnf(c_0_1086,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1066,c_0_200]) ).

cnf(c_0_1087,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1067,c_0_334]) ).

cnf(c_0_1088,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1068,c_0_512]) ).

cnf(c_0_1089,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1069,c_0_711]) ).

cnf(c_0_1090,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1070,c_0_33]) ).

cnf(c_0_1091,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1071,c_0_35]) ).

cnf(c_0_1092,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1072,c_0_39]) ).

cnf(c_0_1093,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1073,c_0_49]) ).

cnf(c_0_1094,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1074,c_0_72]) ).

cnf(c_0_1095,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1075,c_0_118]) ).

cnf(c_0_1096,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1076,c_0_200]) ).

cnf(c_0_1097,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1077,c_0_334]) ).

cnf(c_0_1098,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1078,c_0_512]) ).

cnf(c_0_1099,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1079,c_0_33]) ).

cnf(c_0_1100,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1080,c_0_35]) ).

cnf(c_0_1101,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1081,c_0_33]) ).

cnf(c_0_1102,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_1082,c_0_39]) ).

cnf(c_0_1103,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1083,c_0_39]) ).

cnf(c_0_1104,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1084,c_0_49]) ).

cnf(c_0_1105,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1085,c_0_72]) ).

cnf(c_0_1106,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1086,c_0_118]) ).

cnf(c_0_1107,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1087,c_0_200]) ).

cnf(c_0_1108,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1088,c_0_334]) ).

cnf(c_0_1109,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1089,c_0_512]) ).

cnf(c_0_1110,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1090,c_0_711]) ).

cnf(c_0_1111,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1091,c_0_33]) ).

cnf(c_0_1112,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1092,c_0_35]) ).

cnf(c_0_1113,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1093,c_0_39]) ).

cnf(c_0_1114,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1094,c_0_49]) ).

cnf(c_0_1115,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1095,c_0_72]) ).

cnf(c_0_1116,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1096,c_0_118]) ).

cnf(c_0_1117,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1097,c_0_200]) ).

cnf(c_0_1118,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1098,c_0_334]) ).

cnf(c_0_1119,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1099,c_0_512]) ).

cnf(c_0_1120,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1100,c_0_33]) ).

cnf(c_0_1121,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1101,c_0_334]) ).

cnf(c_0_1122,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_1102,c_0_35]) ).

cnf(c_0_1123,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1103,c_0_35]) ).

cnf(c_0_1124,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1104,c_0_39]) ).

cnf(c_0_1125,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1105,c_0_49]) ).

cnf(c_0_1126,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1106,c_0_72]) ).

cnf(c_0_1127,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1107,c_0_118]) ).

cnf(c_0_1128,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1108,c_0_200]) ).

cnf(c_0_1129,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1109,c_0_334]) ).

cnf(c_0_1130,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1110,c_0_512]) ).

cnf(c_0_1131,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1111,c_0_711]) ).

cnf(c_0_1132,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1112,c_0_33]) ).

cnf(c_0_1133,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1113,c_0_35]) ).

cnf(c_0_1134,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1114,c_0_39]) ).

cnf(c_0_1135,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1115,c_0_49]) ).

cnf(c_0_1136,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1116,c_0_72]) ).

cnf(c_0_1137,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1117,c_0_118]) ).

cnf(c_0_1138,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1118,c_0_200]) ).

cnf(c_0_1139,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1119,c_0_334]) ).

cnf(c_0_1140,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1120,c_0_512]) ).

cnf(c_0_1141,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1121,c_0_200]) ).

cnf(c_0_1142,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1122,c_0_33]) ).

cnf(c_0_1143,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1123,c_0_33]) ).

cnf(c_0_1144,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1124,c_0_35]) ).

cnf(c_0_1145,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1125,c_0_39]) ).

cnf(c_0_1146,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1126,c_0_49]) ).

cnf(c_0_1147,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1127,c_0_72]) ).

cnf(c_0_1148,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1128,c_0_118]) ).

cnf(c_0_1149,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1129,c_0_200]) ).

cnf(c_0_1150,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1130,c_0_334]) ).

cnf(c_0_1151,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1131,c_0_512]) ).

cnf(c_0_1152,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1132,c_0_711]) ).

cnf(c_0_1153,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1133,c_0_33]) ).

cnf(c_0_1154,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1134,c_0_35]) ).

cnf(c_0_1155,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1135,c_0_39]) ).

cnf(c_0_1156,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1136,c_0_49]) ).

cnf(c_0_1157,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1137,c_0_72]) ).

cnf(c_0_1158,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1138,c_0_118]) ).

cnf(c_0_1159,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1139,c_0_200]) ).

cnf(c_0_1160,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1140,c_0_334]) ).

cnf(c_0_1161,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1141,c_0_118]) ).

cnf(c_0_1162,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1142,c_0_1143]) ).

cnf(c_0_1163,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1144,c_0_33]) ).

cnf(c_0_1164,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1145,c_0_35]) ).

cnf(c_0_1165,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1146,c_0_39]) ).

cnf(c_0_1166,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1147,c_0_49]) ).

cnf(c_0_1167,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1148,c_0_72]) ).

cnf(c_0_1168,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1149,c_0_118]) ).

cnf(c_0_1169,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1150,c_0_200]) ).

cnf(c_0_1170,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1151,c_0_334]) ).

cnf(c_0_1171,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1152,c_0_512]) ).

cnf(c_0_1172,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1153,c_0_711]) ).

cnf(c_0_1173,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1154,c_0_33]) ).

cnf(c_0_1174,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1155,c_0_35]) ).

cnf(c_0_1175,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1156,c_0_39]) ).

cnf(c_0_1176,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1157,c_0_49]) ).

cnf(c_0_1177,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1158,c_0_72]) ).

cnf(c_0_1178,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1159,c_0_118]) ).

cnf(c_0_1179,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1160,c_0_200]) ).

cnf(c_0_1180,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1161,c_0_72]) ).

cnf(c_0_1181,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1162,c_0_922]) ).

cnf(c_0_1182,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1163,c_0_922]) ).

cnf(c_0_1183,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1164,c_0_33]) ).

cnf(c_0_1184,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1165,c_0_35]) ).

cnf(c_0_1185,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1166,c_0_39]) ).

cnf(c_0_1186,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1167,c_0_49]) ).

cnf(c_0_1187,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1168,c_0_72]) ).

cnf(c_0_1188,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1169,c_0_118]) ).

cnf(c_0_1189,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1170,c_0_200]) ).

cnf(c_0_1190,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1171,c_0_334]) ).

cnf(c_0_1191,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1172,c_0_512]) ).

cnf(c_0_1192,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1173,c_0_711]) ).

cnf(c_0_1193,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1174,c_0_33]) ).

cnf(c_0_1194,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1175,c_0_35]) ).

cnf(c_0_1195,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1176,c_0_39]) ).

cnf(c_0_1196,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1177,c_0_49]) ).

cnf(c_0_1197,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1178,c_0_72]) ).

cnf(c_0_1198,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1179,c_0_118]) ).

cnf(c_0_1199,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1180,c_0_49]) ).

cnf(c_0_1200,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1181,c_0_711]) ).

cnf(c_0_1201,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1182,c_0_711]) ).

cnf(c_0_1202,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1183,c_0_922]) ).

cnf(c_0_1203,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1184,c_0_33]) ).

cnf(c_0_1204,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1185,c_0_35]) ).

cnf(c_0_1205,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1186,c_0_39]) ).

cnf(c_0_1206,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1187,c_0_49]) ).

cnf(c_0_1207,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1188,c_0_72]) ).

cnf(c_0_1208,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1189,c_0_118]) ).

cnf(c_0_1209,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1190,c_0_200]) ).

cnf(c_0_1210,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1191,c_0_334]) ).

cnf(c_0_1211,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1192,c_0_512]) ).

cnf(c_0_1212,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1193,c_0_711]) ).

cnf(c_0_1213,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1194,c_0_33]) ).

cnf(c_0_1214,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1195,c_0_35]) ).

cnf(c_0_1215,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1196,c_0_39]) ).

cnf(c_0_1216,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1197,c_0_49]) ).

cnf(c_0_1217,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1198,c_0_72]) ).

cnf(c_0_1218,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1199,c_0_39]) ).

cnf(c_0_1219,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1200,c_0_512]) ).

cnf(c_0_1220,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1201,c_0_512]) ).

cnf(c_0_1221,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1202,c_0_711]) ).

cnf(c_0_1222,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1203,c_0_922]) ).

cnf(c_0_1223,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1204,c_0_33]) ).

cnf(c_0_1224,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1205,c_0_35]) ).

cnf(c_0_1225,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1206,c_0_39]) ).

cnf(c_0_1226,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1207,c_0_49]) ).

cnf(c_0_1227,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1208,c_0_72]) ).

cnf(c_0_1228,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1209,c_0_118]) ).

cnf(c_0_1229,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1210,c_0_200]) ).

cnf(c_0_1230,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1211,c_0_334]) ).

cnf(c_0_1231,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1212,c_0_512]) ).

cnf(c_0_1232,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1213,c_0_711]) ).

cnf(c_0_1233,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1214,c_0_33]) ).

cnf(c_0_1234,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1215,c_0_35]) ).

cnf(c_0_1235,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1216,c_0_39]) ).

cnf(c_0_1236,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1217,c_0_49]) ).

cnf(c_0_1237,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1218,c_0_35]) ).

cnf(c_0_1238,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1219,c_0_334]) ).

cnf(c_0_1239,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1220,c_0_334]) ).

cnf(c_0_1240,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1221,c_0_512]) ).

cnf(c_0_1241,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1222,c_0_711]) ).

cnf(c_0_1242,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1223,c_0_922]) ).

cnf(c_0_1243,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1224,c_0_33]) ).

cnf(c_0_1244,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1225,c_0_35]) ).

cnf(c_0_1245,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1226,c_0_39]) ).

cnf(c_0_1246,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1227,c_0_49]) ).

cnf(c_0_1247,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1228,c_0_72]) ).

cnf(c_0_1248,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1229,c_0_118]) ).

cnf(c_0_1249,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1230,c_0_200]) ).

cnf(c_0_1250,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1231,c_0_334]) ).

cnf(c_0_1251,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1232,c_0_512]) ).

cnf(c_0_1252,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1233,c_0_711]) ).

cnf(c_0_1253,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1234,c_0_33]) ).

cnf(c_0_1254,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1235,c_0_35]) ).

cnf(c_0_1255,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1236,c_0_39]) ).

cnf(c_0_1256,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1237,c_0_33]) ).

cnf(c_0_1257,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1238,c_0_200]) ).

cnf(c_0_1258,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1239,c_0_200]) ).

cnf(c_0_1259,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1240,c_0_334]) ).

cnf(c_0_1260,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1241,c_0_512]) ).

cnf(c_0_1261,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1242,c_0_711]) ).

cnf(c_0_1262,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1243,c_0_922]) ).

cnf(c_0_1263,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1244,c_0_33]) ).

cnf(c_0_1264,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1245,c_0_35]) ).

cnf(c_0_1265,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1246,c_0_39]) ).

cnf(c_0_1266,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1247,c_0_49]) ).

cnf(c_0_1267,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1248,c_0_72]) ).

cnf(c_0_1268,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1249,c_0_118]) ).

cnf(c_0_1269,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1250,c_0_200]) ).

cnf(c_0_1270,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1251,c_0_334]) ).

cnf(c_0_1271,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1252,c_0_512]) ).

cnf(c_0_1272,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1253,c_0_711]) ).

cnf(c_0_1273,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1254,c_0_33]) ).

cnf(c_0_1274,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1255,c_0_35]) ).

cnf(c_0_1275,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1256,c_0_512]) ).

cnf(c_0_1276,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1257,c_0_118]) ).

cnf(c_0_1277,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1258,c_0_118]) ).

cnf(c_0_1278,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1259,c_0_200]) ).

cnf(c_0_1279,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1260,c_0_334]) ).

cnf(c_0_1280,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1261,c_0_512]) ).

cnf(c_0_1281,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1262,c_0_711]) ).

cnf(c_0_1282,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1263,c_0_922]) ).

cnf(c_0_1283,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1264,c_0_33]) ).

cnf(c_0_1284,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1265,c_0_35]) ).

cnf(c_0_1285,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1266,c_0_39]) ).

cnf(c_0_1286,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1267,c_0_49]) ).

cnf(c_0_1287,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1268,c_0_72]) ).

cnf(c_0_1288,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1269,c_0_118]) ).

cnf(c_0_1289,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1270,c_0_200]) ).

cnf(c_0_1290,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1271,c_0_334]) ).

cnf(c_0_1291,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1272,c_0_512]) ).

cnf(c_0_1292,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1273,c_0_711]) ).

cnf(c_0_1293,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1274,c_0_33]) ).

cnf(c_0_1294,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1275,c_0_334]) ).

cnf(c_0_1295,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1276,c_0_72]) ).

cnf(c_0_1296,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1277,c_0_72]) ).

cnf(c_0_1297,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1278,c_0_118]) ).

cnf(c_0_1298,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1279,c_0_200]) ).

cnf(c_0_1299,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1280,c_0_334]) ).

cnf(c_0_1300,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1281,c_0_512]) ).

cnf(c_0_1301,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1282,c_0_711]) ).

cnf(c_0_1302,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1283,c_0_922]) ).

cnf(c_0_1303,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1284,c_0_33]) ).

cnf(c_0_1304,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1285,c_0_35]) ).

cnf(c_0_1305,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1286,c_0_39]) ).

cnf(c_0_1306,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1287,c_0_49]) ).

cnf(c_0_1307,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1288,c_0_72]) ).

cnf(c_0_1308,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1289,c_0_118]) ).

cnf(c_0_1309,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1290,c_0_200]) ).

cnf(c_0_1310,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1291,c_0_334]) ).

cnf(c_0_1311,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1292,c_0_512]) ).

cnf(c_0_1312,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1293,c_0_711]) ).

cnf(c_0_1313,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1294,c_0_200]) ).

cnf(c_0_1314,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_1295,c_0_49]) ).

cnf(c_0_1315,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1296,c_0_49]) ).

cnf(c_0_1316,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1297,c_0_72]) ).

cnf(c_0_1317,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1298,c_0_118]) ).

cnf(c_0_1318,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1299,c_0_200]) ).

cnf(c_0_1319,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1300,c_0_334]) ).

cnf(c_0_1320,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1301,c_0_512]) ).

cnf(c_0_1321,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1302,c_0_711]) ).

cnf(c_0_1322,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1303,c_0_922]) ).

cnf(c_0_1323,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1304,c_0_33]) ).

cnf(c_0_1324,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1305,c_0_35]) ).

cnf(c_0_1325,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1306,c_0_39]) ).

cnf(c_0_1326,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1307,c_0_49]) ).

cnf(c_0_1327,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1308,c_0_72]) ).

cnf(c_0_1328,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1309,c_0_118]) ).

cnf(c_0_1329,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1310,c_0_200]) ).

cnf(c_0_1330,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1311,c_0_334]) ).

cnf(c_0_1331,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1312,c_0_512]) ).

cnf(c_0_1332,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1313,c_0_118]) ).

cnf(c_0_1333,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_1314,c_0_39]) ).

cnf(c_0_1334,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1315,c_0_39]) ).

cnf(c_0_1335,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1316,c_0_49]) ).

cnf(c_0_1336,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1317,c_0_72]) ).

cnf(c_0_1337,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1318,c_0_118]) ).

cnf(c_0_1338,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1319,c_0_200]) ).

cnf(c_0_1339,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1320,c_0_334]) ).

cnf(c_0_1340,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1321,c_0_512]) ).

cnf(c_0_1341,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1322,c_0_711]) ).

cnf(c_0_1342,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1323,c_0_922]) ).

cnf(c_0_1343,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1324,c_0_33]) ).

cnf(c_0_1344,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1325,c_0_35]) ).

cnf(c_0_1345,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1326,c_0_39]) ).

cnf(c_0_1346,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1327,c_0_49]) ).

cnf(c_0_1347,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1328,c_0_72]) ).

cnf(c_0_1348,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1329,c_0_118]) ).

cnf(c_0_1349,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1330,c_0_200]) ).

cnf(c_0_1350,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1331,c_0_334]) ).

cnf(c_0_1351,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1332,c_0_72]) ).

cnf(c_0_1352,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_1333,c_0_35]) ).

cnf(c_0_1353,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1334,c_0_35]) ).

cnf(c_0_1354,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1335,c_0_39]) ).

cnf(c_0_1355,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1336,c_0_49]) ).

cnf(c_0_1356,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1337,c_0_72]) ).

cnf(c_0_1357,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1338,c_0_118]) ).

cnf(c_0_1358,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1339,c_0_200]) ).

cnf(c_0_1359,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1340,c_0_334]) ).

cnf(c_0_1360,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1341,c_0_512]) ).

cnf(c_0_1361,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1342,c_0_711]) ).

cnf(c_0_1362,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1343,c_0_922]) ).

cnf(c_0_1363,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1344,c_0_33]) ).

cnf(c_0_1364,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1345,c_0_35]) ).

cnf(c_0_1365,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1346,c_0_39]) ).

cnf(c_0_1366,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1347,c_0_49]) ).

cnf(c_0_1367,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1348,c_0_72]) ).

cnf(c_0_1368,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1349,c_0_118]) ).

cnf(c_0_1369,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1350,c_0_200]) ).

cnf(c_0_1370,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1351,c_0_49]) ).

cnf(c_0_1371,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1352,c_0_33]) ).

cnf(c_0_1372,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1353,c_0_33]) ).

cnf(c_0_1373,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1354,c_0_35]) ).

cnf(c_0_1374,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1355,c_0_39]) ).

cnf(c_0_1375,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1356,c_0_49]) ).

cnf(c_0_1376,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1357,c_0_72]) ).

cnf(c_0_1377,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1358,c_0_118]) ).

cnf(c_0_1378,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1359,c_0_200]) ).

cnf(c_0_1379,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1360,c_0_334]) ).

cnf(c_0_1380,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1361,c_0_512]) ).

cnf(c_0_1381,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1362,c_0_711]) ).

cnf(c_0_1382,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1363,c_0_922]) ).

cnf(c_0_1383,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1364,c_0_33]) ).

cnf(c_0_1384,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1365,c_0_35]) ).

cnf(c_0_1385,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1366,c_0_39]) ).

cnf(c_0_1386,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1367,c_0_49]) ).

cnf(c_0_1387,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1368,c_0_72]) ).

cnf(c_0_1388,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1369,c_0_118]) ).

cnf(c_0_1389,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1370,c_0_39]) ).

cnf(c_0_1390,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1371,c_0_1372]) ).

cnf(c_0_1391,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1373,c_0_33]) ).

cnf(c_0_1392,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1374,c_0_35]) ).

cnf(c_0_1393,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1375,c_0_39]) ).

cnf(c_0_1394,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1376,c_0_49]) ).

cnf(c_0_1395,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1377,c_0_72]) ).

cnf(c_0_1396,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1378,c_0_118]) ).

cnf(c_0_1397,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1379,c_0_200]) ).

cnf(c_0_1398,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1380,c_0_334]) ).

cnf(c_0_1399,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1381,c_0_512]) ).

cnf(c_0_1400,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1382,c_0_711]) ).

cnf(c_0_1401,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1383,c_0_922]) ).

cnf(c_0_1402,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1384,c_0_33]) ).

cnf(c_0_1403,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1385,c_0_35]) ).

cnf(c_0_1404,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1386,c_0_39]) ).

cnf(c_0_1405,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1387,c_0_49]) ).

cnf(c_0_1406,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1388,c_0_72]) ).

cnf(c_0_1407,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1389,c_0_35]) ).

cnf(c_0_1408,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1390,c_0_1143]) ).

cnf(c_0_1409,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1391,c_0_1143]) ).

cnf(c_0_1410,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1392,c_0_33]) ).

cnf(c_0_1411,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1393,c_0_35]) ).

cnf(c_0_1412,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1394,c_0_39]) ).

cnf(c_0_1413,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1395,c_0_49]) ).

cnf(c_0_1414,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1396,c_0_72]) ).

cnf(c_0_1415,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1397,c_0_118]) ).

cnf(c_0_1416,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1398,c_0_200]) ).

cnf(c_0_1417,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1399,c_0_334]) ).

cnf(c_0_1418,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1400,c_0_512]) ).

cnf(c_0_1419,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1401,c_0_711]) ).

cnf(c_0_1420,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1402,c_0_922]) ).

cnf(c_0_1421,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1403,c_0_33]) ).

cnf(c_0_1422,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1404,c_0_35]) ).

cnf(c_0_1423,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1405,c_0_39]) ).

cnf(c_0_1424,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1406,c_0_49]) ).

cnf(c_0_1425,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1407,c_0_33]) ).

cnf(c_0_1426,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1408,c_0_922]) ).

cnf(c_0_1427,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1409,c_0_922]) ).

cnf(c_0_1428,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1410,c_0_1143]) ).

cnf(c_0_1429,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1411,c_0_33]) ).

cnf(c_0_1430,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1412,c_0_35]) ).

cnf(c_0_1431,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1413,c_0_39]) ).

cnf(c_0_1432,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1414,c_0_49]) ).

cnf(c_0_1433,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1415,c_0_72]) ).

cnf(c_0_1434,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1416,c_0_118]) ).

cnf(c_0_1435,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1417,c_0_200]) ).

cnf(c_0_1436,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1418,c_0_334]) ).

cnf(c_0_1437,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1419,c_0_512]) ).

cnf(c_0_1438,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1420,c_0_711]) ).

cnf(c_0_1439,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1421,c_0_922]) ).

cnf(c_0_1440,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1422,c_0_33]) ).

cnf(c_0_1441,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1423,c_0_35]) ).

cnf(c_0_1442,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1424,c_0_39]) ).

cnf(c_0_1443,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1425,c_0_711]) ).

cnf(c_0_1444,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1426,c_0_711]) ).

cnf(c_0_1445,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1427,c_0_711]) ).

cnf(c_0_1446,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1428,c_0_922]) ).

cnf(c_0_1447,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1429,c_0_1143]) ).

cnf(c_0_1448,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1430,c_0_33]) ).

cnf(c_0_1449,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1431,c_0_35]) ).

cnf(c_0_1450,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1432,c_0_39]) ).

cnf(c_0_1451,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1433,c_0_49]) ).

cnf(c_0_1452,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1434,c_0_72]) ).

cnf(c_0_1453,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1435,c_0_118]) ).

cnf(c_0_1454,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1436,c_0_200]) ).

cnf(c_0_1455,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1437,c_0_334]) ).

cnf(c_0_1456,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1438,c_0_512]) ).

cnf(c_0_1457,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1439,c_0_711]) ).

cnf(c_0_1458,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1440,c_0_922]) ).

cnf(c_0_1459,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1441,c_0_33]) ).

cnf(c_0_1460,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1442,c_0_35]) ).

cnf(c_0_1461,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1443,c_0_512]) ).

cnf(c_0_1462,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1444,c_0_512]) ).

cnf(c_0_1463,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1445,c_0_512]) ).

cnf(c_0_1464,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1446,c_0_711]) ).

cnf(c_0_1465,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1447,c_0_922]) ).

cnf(c_0_1466,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1448,c_0_1143]) ).

cnf(c_0_1467,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1449,c_0_33]) ).

cnf(c_0_1468,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1450,c_0_35]) ).

cnf(c_0_1469,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1451,c_0_39]) ).

cnf(c_0_1470,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1452,c_0_49]) ).

cnf(c_0_1471,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1453,c_0_72]) ).

cnf(c_0_1472,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1454,c_0_118]) ).

cnf(c_0_1473,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1455,c_0_200]) ).

cnf(c_0_1474,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1456,c_0_334]) ).

cnf(c_0_1475,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1457,c_0_512]) ).

cnf(c_0_1476,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1458,c_0_711]) ).

cnf(c_0_1477,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1459,c_0_922]) ).

cnf(c_0_1478,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1460,c_0_33]) ).

cnf(c_0_1479,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1461,c_0_334]) ).

cnf(c_0_1480,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1462,c_0_334]) ).

cnf(c_0_1481,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1463,c_0_334]) ).

cnf(c_0_1482,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1464,c_0_512]) ).

cnf(c_0_1483,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1465,c_0_711]) ).

cnf(c_0_1484,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1466,c_0_922]) ).

cnf(c_0_1485,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1467,c_0_1143]) ).

cnf(c_0_1486,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1468,c_0_33]) ).

cnf(c_0_1487,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1469,c_0_35]) ).

cnf(c_0_1488,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1470,c_0_39]) ).

cnf(c_0_1489,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1471,c_0_49]) ).

cnf(c_0_1490,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1472,c_0_72]) ).

cnf(c_0_1491,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1473,c_0_118]) ).

cnf(c_0_1492,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1474,c_0_200]) ).

cnf(c_0_1493,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1475,c_0_334]) ).

cnf(c_0_1494,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1476,c_0_512]) ).

cnf(c_0_1495,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1477,c_0_711]) ).

cnf(c_0_1496,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1478,c_0_922]) ).

cnf(c_0_1497,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1479,c_0_200]) ).

cnf(c_0_1498,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1480,c_0_200]) ).

cnf(c_0_1499,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1481,c_0_200]) ).

cnf(c_0_1500,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1482,c_0_334]) ).

cnf(c_0_1501,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1483,c_0_512]) ).

cnf(c_0_1502,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1484,c_0_711]) ).

cnf(c_0_1503,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1485,c_0_922]) ).

cnf(c_0_1504,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1486,c_0_1143]) ).

cnf(c_0_1505,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1487,c_0_33]) ).

cnf(c_0_1506,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1488,c_0_35]) ).

cnf(c_0_1507,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1489,c_0_39]) ).

cnf(c_0_1508,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1490,c_0_49]) ).

cnf(c_0_1509,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1491,c_0_72]) ).

cnf(c_0_1510,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1492,c_0_118]) ).

cnf(c_0_1511,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1493,c_0_200]) ).

cnf(c_0_1512,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1494,c_0_334]) ).

cnf(c_0_1513,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1495,c_0_512]) ).

cnf(c_0_1514,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1496,c_0_711]) ).

cnf(c_0_1515,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1497,c_0_118]) ).

cnf(c_0_1516,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1498,c_0_118]) ).

cnf(c_0_1517,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1499,c_0_118]) ).

cnf(c_0_1518,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1500,c_0_200]) ).

cnf(c_0_1519,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1501,c_0_334]) ).

cnf(c_0_1520,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1502,c_0_512]) ).

cnf(c_0_1521,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1503,c_0_711]) ).

cnf(c_0_1522,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1504,c_0_922]) ).

cnf(c_0_1523,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1505,c_0_1143]) ).

cnf(c_0_1524,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1506,c_0_33]) ).

cnf(c_0_1525,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1507,c_0_35]) ).

cnf(c_0_1526,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1508,c_0_39]) ).

cnf(c_0_1527,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1509,c_0_49]) ).

cnf(c_0_1528,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1510,c_0_72]) ).

cnf(c_0_1529,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1511,c_0_118]) ).

cnf(c_0_1530,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1512,c_0_200]) ).

cnf(c_0_1531,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1513,c_0_334]) ).

cnf(c_0_1532,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1514,c_0_512]) ).

cnf(c_0_1533,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1515,c_0_72]) ).

cnf(c_0_1534,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1516,c_0_72]) ).

cnf(c_0_1535,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1517,c_0_72]) ).

cnf(c_0_1536,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1518,c_0_118]) ).

cnf(c_0_1537,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1519,c_0_200]) ).

cnf(c_0_1538,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1520,c_0_334]) ).

cnf(c_0_1539,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1521,c_0_512]) ).

cnf(c_0_1540,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1522,c_0_711]) ).

cnf(c_0_1541,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1523,c_0_922]) ).

cnf(c_0_1542,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1524,c_0_1143]) ).

cnf(c_0_1543,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1525,c_0_33]) ).

cnf(c_0_1544,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1526,c_0_35]) ).

cnf(c_0_1545,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1527,c_0_39]) ).

cnf(c_0_1546,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1528,c_0_49]) ).

cnf(c_0_1547,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1529,c_0_72]) ).

cnf(c_0_1548,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1530,c_0_118]) ).

cnf(c_0_1549,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1531,c_0_200]) ).

cnf(c_0_1550,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1532,c_0_334]) ).

cnf(c_0_1551,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1533,c_0_49]) ).

cnf(c_0_1552,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_1534,c_0_49]) ).

cnf(c_0_1553,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1535,c_0_49]) ).

cnf(c_0_1554,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1536,c_0_72]) ).

cnf(c_0_1555,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1537,c_0_118]) ).

cnf(c_0_1556,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1538,c_0_200]) ).

cnf(c_0_1557,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1539,c_0_334]) ).

cnf(c_0_1558,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1540,c_0_512]) ).

cnf(c_0_1559,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1541,c_0_711]) ).

cnf(c_0_1560,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1542,c_0_922]) ).

cnf(c_0_1561,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1543,c_0_1143]) ).

cnf(c_0_1562,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1544,c_0_33]) ).

cnf(c_0_1563,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1545,c_0_35]) ).

cnf(c_0_1564,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1546,c_0_39]) ).

cnf(c_0_1565,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1547,c_0_49]) ).

cnf(c_0_1566,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1548,c_0_72]) ).

cnf(c_0_1567,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1549,c_0_118]) ).

cnf(c_0_1568,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1550,c_0_200]) ).

cnf(c_0_1569,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1551,c_0_39]) ).

cnf(c_0_1570,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_1552,c_0_39]) ).

cnf(c_0_1571,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1553,c_0_39]) ).

cnf(c_0_1572,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1554,c_0_49]) ).

cnf(c_0_1573,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1555,c_0_72]) ).

cnf(c_0_1574,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1556,c_0_118]) ).

cnf(c_0_1575,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1557,c_0_200]) ).

cnf(c_0_1576,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1558,c_0_334]) ).

cnf(c_0_1577,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1559,c_0_512]) ).

cnf(c_0_1578,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1560,c_0_711]) ).

cnf(c_0_1579,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1561,c_0_922]) ).

cnf(c_0_1580,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1562,c_0_1143]) ).

cnf(c_0_1581,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1563,c_0_33]) ).

cnf(c_0_1582,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1564,c_0_35]) ).

cnf(c_0_1583,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1565,c_0_39]) ).

cnf(c_0_1584,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1566,c_0_49]) ).

cnf(c_0_1585,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1567,c_0_72]) ).

cnf(c_0_1586,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1568,c_0_118]) ).

cnf(c_0_1587,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1569,c_0_35]) ).

cnf(c_0_1588,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_1570,c_0_35]) ).

cnf(c_0_1589,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1571,c_0_35]) ).

cnf(c_0_1590,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1572,c_0_39]) ).

cnf(c_0_1591,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1573,c_0_49]) ).

cnf(c_0_1592,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1574,c_0_72]) ).

cnf(c_0_1593,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1575,c_0_118]) ).

cnf(c_0_1594,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1576,c_0_200]) ).

cnf(c_0_1595,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1577,c_0_334]) ).

cnf(c_0_1596,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1578,c_0_512]) ).

cnf(c_0_1597,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1579,c_0_711]) ).

cnf(c_0_1598,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1580,c_0_922]) ).

cnf(c_0_1599,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1581,c_0_1143]) ).

cnf(c_0_1600,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1582,c_0_33]) ).

cnf(c_0_1601,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1583,c_0_35]) ).

cnf(c_0_1602,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1584,c_0_39]) ).

cnf(c_0_1603,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1585,c_0_49]) ).

cnf(c_0_1604,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1586,c_0_72]) ).

cnf(c_0_1605,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1587,c_0_33]) ).

cnf(c_0_1606,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1588,c_0_33]) ).

cnf(c_0_1607,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1589,c_0_33]) ).

cnf(c_0_1608,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1590,c_0_35]) ).

cnf(c_0_1609,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1591,c_0_39]) ).

cnf(c_0_1610,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1592,c_0_49]) ).

cnf(c_0_1611,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1593,c_0_72]) ).

cnf(c_0_1612,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1594,c_0_118]) ).

cnf(c_0_1613,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1595,c_0_200]) ).

cnf(c_0_1614,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1596,c_0_334]) ).

cnf(c_0_1615,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1597,c_0_512]) ).

cnf(c_0_1616,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1598,c_0_711]) ).

cnf(c_0_1617,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1599,c_0_922]) ).

cnf(c_0_1618,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1600,c_0_1143]) ).

cnf(c_0_1619,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1601,c_0_33]) ).

cnf(c_0_1620,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1602,c_0_35]) ).

cnf(c_0_1621,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1603,c_0_39]) ).

cnf(c_0_1622,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1604,c_0_49]) ).

cnf(c_0_1623,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1605,c_0_922]) ).

cnf(c_0_1624,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1606,c_0_1607]) ).

cnf(c_0_1625,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1608,c_0_33]) ).

cnf(c_0_1626,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1609,c_0_35]) ).

cnf(c_0_1627,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1610,c_0_39]) ).

cnf(c_0_1628,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1611,c_0_49]) ).

cnf(c_0_1629,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1612,c_0_72]) ).

cnf(c_0_1630,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1613,c_0_118]) ).

cnf(c_0_1631,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1614,c_0_200]) ).

cnf(c_0_1632,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1615,c_0_334]) ).

cnf(c_0_1633,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1616,c_0_512]) ).

cnf(c_0_1634,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1617,c_0_711]) ).

cnf(c_0_1635,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1618,c_0_922]) ).

cnf(c_0_1636,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1619,c_0_1143]) ).

cnf(c_0_1637,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1620,c_0_33]) ).

cnf(c_0_1638,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1621,c_0_35]) ).

cnf(c_0_1639,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1622,c_0_39]) ).

cnf(c_0_1640,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1623,c_0_711]) ).

cnf(c_0_1641,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1624,c_0_1372]) ).

cnf(c_0_1642,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1625,c_0_1372]) ).

cnf(c_0_1643,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1626,c_0_33]) ).

cnf(c_0_1644,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1627,c_0_35]) ).

cnf(c_0_1645,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1628,c_0_39]) ).

cnf(c_0_1646,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1629,c_0_49]) ).

cnf(c_0_1647,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1630,c_0_72]) ).

cnf(c_0_1648,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1631,c_0_118]) ).

cnf(c_0_1649,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1632,c_0_200]) ).

cnf(c_0_1650,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1633,c_0_334]) ).

cnf(c_0_1651,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1634,c_0_512]) ).

cnf(c_0_1652,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1635,c_0_711]) ).

cnf(c_0_1653,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1636,c_0_922]) ).

cnf(c_0_1654,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1637,c_0_1143]) ).

cnf(c_0_1655,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1638,c_0_33]) ).

cnf(c_0_1656,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1639,c_0_35]) ).

cnf(c_0_1657,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1640,c_0_512]) ).

cnf(c_0_1658,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1641,c_0_1143]) ).

cnf(c_0_1659,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1642,c_0_1143]) ).

cnf(c_0_1660,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1643,c_0_1372]) ).

cnf(c_0_1661,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1644,c_0_33]) ).

cnf(c_0_1662,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1645,c_0_35]) ).

cnf(c_0_1663,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1646,c_0_39]) ).

cnf(c_0_1664,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1647,c_0_49]) ).

cnf(c_0_1665,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1648,c_0_72]) ).

cnf(c_0_1666,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1649,c_0_118]) ).

cnf(c_0_1667,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1650,c_0_200]) ).

cnf(c_0_1668,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1651,c_0_334]) ).

cnf(c_0_1669,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1652,c_0_512]) ).

cnf(c_0_1670,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1653,c_0_711]) ).

cnf(c_0_1671,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1654,c_0_922]) ).

cnf(c_0_1672,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1655,c_0_1143]) ).

cnf(c_0_1673,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1656,c_0_33]) ).

cnf(c_0_1674,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1657,c_0_334]) ).

cnf(c_0_1675,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1658,c_0_922]) ).

cnf(c_0_1676,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1659,c_0_922]) ).

cnf(c_0_1677,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1660,c_0_1143]) ).

cnf(c_0_1678,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1661,c_0_1372]) ).

cnf(c_0_1679,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1662,c_0_33]) ).

cnf(c_0_1680,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1663,c_0_35]) ).

cnf(c_0_1681,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1664,c_0_39]) ).

cnf(c_0_1682,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1665,c_0_49]) ).

cnf(c_0_1683,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1666,c_0_72]) ).

cnf(c_0_1684,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1667,c_0_118]) ).

cnf(c_0_1685,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1668,c_0_200]) ).

cnf(c_0_1686,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1669,c_0_334]) ).

cnf(c_0_1687,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1670,c_0_512]) ).

cnf(c_0_1688,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1671,c_0_711]) ).

cnf(c_0_1689,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1672,c_0_922]) ).

cnf(c_0_1690,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1673,c_0_1143]) ).

cnf(c_0_1691,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1674,c_0_200]) ).

cnf(c_0_1692,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1675,c_0_711]) ).

cnf(c_0_1693,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1676,c_0_711]) ).

cnf(c_0_1694,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1677,c_0_922]) ).

cnf(c_0_1695,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1678,c_0_1143]) ).

cnf(c_0_1696,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1679,c_0_1372]) ).

cnf(c_0_1697,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1680,c_0_33]) ).

cnf(c_0_1698,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1681,c_0_35]) ).

cnf(c_0_1699,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1682,c_0_39]) ).

cnf(c_0_1700,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1683,c_0_49]) ).

cnf(c_0_1701,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1684,c_0_72]) ).

cnf(c_0_1702,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1685,c_0_118]) ).

cnf(c_0_1703,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1686,c_0_200]) ).

cnf(c_0_1704,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1687,c_0_334]) ).

cnf(c_0_1705,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1688,c_0_512]) ).

cnf(c_0_1706,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1689,c_0_711]) ).

cnf(c_0_1707,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1690,c_0_922]) ).

cnf(c_0_1708,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1691,c_0_118]) ).

cnf(c_0_1709,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1692,c_0_512]) ).

cnf(c_0_1710,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1693,c_0_512]) ).

cnf(c_0_1711,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1694,c_0_711]) ).

cnf(c_0_1712,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1695,c_0_922]) ).

cnf(c_0_1713,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1696,c_0_1143]) ).

cnf(c_0_1714,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1697,c_0_1372]) ).

cnf(c_0_1715,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1698,c_0_33]) ).

cnf(c_0_1716,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1699,c_0_35]) ).

cnf(c_0_1717,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1700,c_0_39]) ).

cnf(c_0_1718,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1701,c_0_49]) ).

cnf(c_0_1719,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1702,c_0_72]) ).

cnf(c_0_1720,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1703,c_0_118]) ).

cnf(c_0_1721,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1704,c_0_200]) ).

cnf(c_0_1722,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1705,c_0_334]) ).

cnf(c_0_1723,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1706,c_0_512]) ).

cnf(c_0_1724,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1707,c_0_711]) ).

cnf(c_0_1725,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1708,c_0_72]) ).

cnf(c_0_1726,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1709,c_0_334]) ).

cnf(c_0_1727,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1710,c_0_334]) ).

cnf(c_0_1728,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1711,c_0_512]) ).

cnf(c_0_1729,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1712,c_0_711]) ).

cnf(c_0_1730,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1713,c_0_922]) ).

cnf(c_0_1731,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1714,c_0_1143]) ).

cnf(c_0_1732,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1715,c_0_1372]) ).

cnf(c_0_1733,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1716,c_0_33]) ).

cnf(c_0_1734,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1717,c_0_35]) ).

cnf(c_0_1735,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1718,c_0_39]) ).

cnf(c_0_1736,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1719,c_0_49]) ).

cnf(c_0_1737,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1720,c_0_72]) ).

cnf(c_0_1738,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1721,c_0_118]) ).

cnf(c_0_1739,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1722,c_0_200]) ).

cnf(c_0_1740,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1723,c_0_334]) ).

cnf(c_0_1741,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1724,c_0_512]) ).

cnf(c_0_1742,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1725,c_0_49]) ).

cnf(c_0_1743,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1726,c_0_200]) ).

cnf(c_0_1744,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1727,c_0_200]) ).

cnf(c_0_1745,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1728,c_0_334]) ).

cnf(c_0_1746,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1729,c_0_512]) ).

cnf(c_0_1747,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1730,c_0_711]) ).

cnf(c_0_1748,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1731,c_0_922]) ).

cnf(c_0_1749,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1732,c_0_1143]) ).

cnf(c_0_1750,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1733,c_0_1372]) ).

cnf(c_0_1751,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1734,c_0_33]) ).

cnf(c_0_1752,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1735,c_0_35]) ).

cnf(c_0_1753,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1736,c_0_39]) ).

cnf(c_0_1754,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1737,c_0_49]) ).

cnf(c_0_1755,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1738,c_0_72]) ).

cnf(c_0_1756,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1739,c_0_118]) ).

cnf(c_0_1757,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1740,c_0_200]) ).

cnf(c_0_1758,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1741,c_0_334]) ).

cnf(c_0_1759,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1742,c_0_39]) ).

cnf(c_0_1760,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1743,c_0_118]) ).

cnf(c_0_1761,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1744,c_0_118]) ).

cnf(c_0_1762,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1745,c_0_200]) ).

cnf(c_0_1763,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1746,c_0_334]) ).

cnf(c_0_1764,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1747,c_0_512]) ).

cnf(c_0_1765,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1748,c_0_711]) ).

cnf(c_0_1766,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1749,c_0_922]) ).

cnf(c_0_1767,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1750,c_0_1143]) ).

cnf(c_0_1768,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1751,c_0_1372]) ).

cnf(c_0_1769,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1752,c_0_33]) ).

cnf(c_0_1770,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1753,c_0_35]) ).

cnf(c_0_1771,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1754,c_0_39]) ).

cnf(c_0_1772,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1755,c_0_49]) ).

cnf(c_0_1773,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1756,c_0_72]) ).

cnf(c_0_1774,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1757,c_0_118]) ).

cnf(c_0_1775,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1758,c_0_200]) ).

cnf(c_0_1776,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1759,c_0_35]) ).

cnf(c_0_1777,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1760,c_0_72]) ).

cnf(c_0_1778,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1761,c_0_72]) ).

cnf(c_0_1779,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1762,c_0_118]) ).

cnf(c_0_1780,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1763,c_0_200]) ).

cnf(c_0_1781,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1764,c_0_334]) ).

cnf(c_0_1782,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1765,c_0_512]) ).

cnf(c_0_1783,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1766,c_0_711]) ).

cnf(c_0_1784,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1767,c_0_922]) ).

cnf(c_0_1785,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1768,c_0_1143]) ).

cnf(c_0_1786,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1769,c_0_1372]) ).

cnf(c_0_1787,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1770,c_0_33]) ).

cnf(c_0_1788,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1771,c_0_35]) ).

cnf(c_0_1789,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1772,c_0_39]) ).

cnf(c_0_1790,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1773,c_0_49]) ).

cnf(c_0_1791,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1774,c_0_72]) ).

cnf(c_0_1792,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1775,c_0_118]) ).

cnf(c_0_1793,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1776,c_0_33]) ).

cnf(c_0_1794,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_1777,c_0_49]) ).

cnf(c_0_1795,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1778,c_0_49]) ).

cnf(c_0_1796,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1779,c_0_72]) ).

cnf(c_0_1797,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1780,c_0_118]) ).

cnf(c_0_1798,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1781,c_0_200]) ).

cnf(c_0_1799,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1782,c_0_334]) ).

cnf(c_0_1800,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1783,c_0_512]) ).

cnf(c_0_1801,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1784,c_0_711]) ).

cnf(c_0_1802,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1785,c_0_922]) ).

cnf(c_0_1803,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1786,c_0_1143]) ).

cnf(c_0_1804,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1787,c_0_1372]) ).

cnf(c_0_1805,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1788,c_0_33]) ).

cnf(c_0_1806,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1789,c_0_35]) ).

cnf(c_0_1807,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1790,c_0_39]) ).

cnf(c_0_1808,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1791,c_0_49]) ).

cnf(c_0_1809,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1792,c_0_72]) ).

cnf(c_0_1810,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1793,c_0_1143]) ).

cnf(c_0_1811,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_1794,c_0_39]) ).

cnf(c_0_1812,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1795,c_0_39]) ).

cnf(c_0_1813,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1796,c_0_49]) ).

cnf(c_0_1814,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1797,c_0_72]) ).

cnf(c_0_1815,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1798,c_0_118]) ).

cnf(c_0_1816,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1799,c_0_200]) ).

cnf(c_0_1817,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1800,c_0_334]) ).

cnf(c_0_1818,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1801,c_0_512]) ).

cnf(c_0_1819,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1802,c_0_711]) ).

cnf(c_0_1820,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1803,c_0_922]) ).

cnf(c_0_1821,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1804,c_0_1143]) ).

cnf(c_0_1822,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1805,c_0_1372]) ).

cnf(c_0_1823,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1806,c_0_33]) ).

cnf(c_0_1824,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1807,c_0_35]) ).

cnf(c_0_1825,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1808,c_0_39]) ).

cnf(c_0_1826,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1809,c_0_49]) ).

cnf(c_0_1827,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1810,c_0_922]) ).

cnf(c_0_1828,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_1811,c_0_35]) ).

cnf(c_0_1829,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1812,c_0_35]) ).

cnf(c_0_1830,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1813,c_0_39]) ).

cnf(c_0_1831,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1814,c_0_49]) ).

cnf(c_0_1832,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1815,c_0_72]) ).

cnf(c_0_1833,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1816,c_0_118]) ).

cnf(c_0_1834,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1817,c_0_200]) ).

cnf(c_0_1835,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1818,c_0_334]) ).

cnf(c_0_1836,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1819,c_0_512]) ).

cnf(c_0_1837,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1820,c_0_711]) ).

cnf(c_0_1838,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1821,c_0_922]) ).

cnf(c_0_1839,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1822,c_0_1143]) ).

cnf(c_0_1840,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1823,c_0_1372]) ).

cnf(c_0_1841,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1824,c_0_33]) ).

cnf(c_0_1842,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1825,c_0_35]) ).

cnf(c_0_1843,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1826,c_0_39]) ).

cnf(c_0_1844,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1827,c_0_711]) ).

cnf(c_0_1845,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1828,c_0_33]) ).

cnf(c_0_1846,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1829,c_0_33]) ).

cnf(c_0_1847,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1830,c_0_35]) ).

cnf(c_0_1848,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1831,c_0_39]) ).

cnf(c_0_1849,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1832,c_0_49]) ).

cnf(c_0_1850,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1833,c_0_72]) ).

cnf(c_0_1851,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1834,c_0_118]) ).

cnf(c_0_1852,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1835,c_0_200]) ).

cnf(c_0_1853,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1836,c_0_334]) ).

cnf(c_0_1854,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1837,c_0_512]) ).

cnf(c_0_1855,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1838,c_0_711]) ).

cnf(c_0_1856,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1839,c_0_922]) ).

cnf(c_0_1857,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1840,c_0_1143]) ).

cnf(c_0_1858,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1841,c_0_1372]) ).

cnf(c_0_1859,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1842,c_0_33]) ).

cnf(c_0_1860,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1843,c_0_35]) ).

cnf(c_0_1861,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1844,c_0_512]) ).

cnf(c_0_1862,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1845,c_0_1846]) ).

cnf(c_0_1863,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1847,c_0_33]) ).

cnf(c_0_1864,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1848,c_0_35]) ).

cnf(c_0_1865,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1849,c_0_39]) ).

cnf(c_0_1866,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1850,c_0_49]) ).

cnf(c_0_1867,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1851,c_0_72]) ).

cnf(c_0_1868,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1852,c_0_118]) ).

cnf(c_0_1869,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1853,c_0_200]) ).

cnf(c_0_1870,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1854,c_0_334]) ).

cnf(c_0_1871,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1855,c_0_512]) ).

cnf(c_0_1872,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1856,c_0_711]) ).

cnf(c_0_1873,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1857,c_0_922]) ).

cnf(c_0_1874,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1858,c_0_1143]) ).

cnf(c_0_1875,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1859,c_0_1372]) ).

cnf(c_0_1876,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1860,c_0_33]) ).

cnf(c_0_1877,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1861,c_0_334]) ).

cnf(c_0_1878,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1862,c_0_1607]) ).

cnf(c_0_1879,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1863,c_0_1607]) ).

cnf(c_0_1880,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1864,c_0_33]) ).

cnf(c_0_1881,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1865,c_0_35]) ).

cnf(c_0_1882,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1866,c_0_39]) ).

cnf(c_0_1883,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1867,c_0_49]) ).

cnf(c_0_1884,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1868,c_0_72]) ).

cnf(c_0_1885,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1869,c_0_118]) ).

cnf(c_0_1886,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1870,c_0_200]) ).

cnf(c_0_1887,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1871,c_0_334]) ).

cnf(c_0_1888,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1872,c_0_512]) ).

cnf(c_0_1889,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1873,c_0_711]) ).

cnf(c_0_1890,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1874,c_0_922]) ).

cnf(c_0_1891,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1875,c_0_1143]) ).

cnf(c_0_1892,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1876,c_0_1372]) ).

cnf(c_0_1893,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1877,c_0_200]) ).

cnf(c_0_1894,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1878,c_0_1372]) ).

cnf(c_0_1895,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1879,c_0_1372]) ).

cnf(c_0_1896,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1880,c_0_1607]) ).

cnf(c_0_1897,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1881,c_0_33]) ).

cnf(c_0_1898,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1882,c_0_35]) ).

cnf(c_0_1899,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1883,c_0_39]) ).

cnf(c_0_1900,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1884,c_0_49]) ).

cnf(c_0_1901,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1885,c_0_72]) ).

cnf(c_0_1902,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1886,c_0_118]) ).

cnf(c_0_1903,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1887,c_0_200]) ).

cnf(c_0_1904,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1888,c_0_334]) ).

cnf(c_0_1905,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1889,c_0_512]) ).

cnf(c_0_1906,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1890,c_0_711]) ).

cnf(c_0_1907,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1891,c_0_922]) ).

cnf(c_0_1908,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1892,c_0_1143]) ).

cnf(c_0_1909,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1893,c_0_118]) ).

cnf(c_0_1910,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1894,c_0_1143]) ).

cnf(c_0_1911,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1895,c_0_1143]) ).

cnf(c_0_1912,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1896,c_0_1372]) ).

cnf(c_0_1913,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1897,c_0_1607]) ).

cnf(c_0_1914,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1898,c_0_33]) ).

cnf(c_0_1915,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1899,c_0_35]) ).

cnf(c_0_1916,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1900,c_0_39]) ).

cnf(c_0_1917,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1901,c_0_49]) ).

cnf(c_0_1918,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1902,c_0_72]) ).

cnf(c_0_1919,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1903,c_0_118]) ).

cnf(c_0_1920,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1904,c_0_200]) ).

cnf(c_0_1921,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1905,c_0_334]) ).

cnf(c_0_1922,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1906,c_0_512]) ).

cnf(c_0_1923,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1907,c_0_711]) ).

cnf(c_0_1924,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1908,c_0_922]) ).

cnf(c_0_1925,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1909,c_0_72]) ).

cnf(c_0_1926,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1910,c_0_922]) ).

cnf(c_0_1927,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1911,c_0_922]) ).

cnf(c_0_1928,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1912,c_0_1143]) ).

cnf(c_0_1929,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1913,c_0_1372]) ).

cnf(c_0_1930,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1914,c_0_1607]) ).

cnf(c_0_1931,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1915,c_0_33]) ).

cnf(c_0_1932,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1916,c_0_35]) ).

cnf(c_0_1933,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1917,c_0_39]) ).

cnf(c_0_1934,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1918,c_0_49]) ).

cnf(c_0_1935,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1919,c_0_72]) ).

cnf(c_0_1936,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1920,c_0_118]) ).

cnf(c_0_1937,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1921,c_0_200]) ).

cnf(c_0_1938,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1922,c_0_334]) ).

cnf(c_0_1939,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1923,c_0_512]) ).

cnf(c_0_1940,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1924,c_0_711]) ).

cnf(c_0_1941,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1925,c_0_49]) ).

cnf(c_0_1942,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1926,c_0_711]) ).

cnf(c_0_1943,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1927,c_0_711]) ).

cnf(c_0_1944,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1928,c_0_922]) ).

cnf(c_0_1945,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1929,c_0_1143]) ).

cnf(c_0_1946,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1930,c_0_1372]) ).

cnf(c_0_1947,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1931,c_0_1607]) ).

cnf(c_0_1948,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1932,c_0_33]) ).

cnf(c_0_1949,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1933,c_0_35]) ).

cnf(c_0_1950,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1934,c_0_39]) ).

cnf(c_0_1951,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1935,c_0_49]) ).

cnf(c_0_1952,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1936,c_0_72]) ).

cnf(c_0_1953,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1937,c_0_118]) ).

cnf(c_0_1954,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1938,c_0_200]) ).

cnf(c_0_1955,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1939,c_0_334]) ).

cnf(c_0_1956,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1940,c_0_512]) ).

cnf(c_0_1957,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1941,c_0_39]) ).

cnf(c_0_1958,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1942,c_0_512]) ).

cnf(c_0_1959,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1943,c_0_512]) ).

cnf(c_0_1960,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1944,c_0_711]) ).

cnf(c_0_1961,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1945,c_0_922]) ).

cnf(c_0_1962,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1946,c_0_1143]) ).

cnf(c_0_1963,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1947,c_0_1372]) ).

cnf(c_0_1964,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1948,c_0_1607]) ).

cnf(c_0_1965,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1949,c_0_33]) ).

cnf(c_0_1966,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1950,c_0_35]) ).

cnf(c_0_1967,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1951,c_0_39]) ).

cnf(c_0_1968,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1952,c_0_49]) ).

cnf(c_0_1969,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1953,c_0_72]) ).

cnf(c_0_1970,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1954,c_0_118]) ).

cnf(c_0_1971,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1955,c_0_200]) ).

cnf(c_0_1972,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1956,c_0_334]) ).

cnf(c_0_1973,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1957,c_0_35]) ).

cnf(c_0_1974,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1958,c_0_334]) ).

cnf(c_0_1975,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1959,c_0_334]) ).

cnf(c_0_1976,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1960,c_0_512]) ).

cnf(c_0_1977,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1961,c_0_711]) ).

cnf(c_0_1978,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1962,c_0_922]) ).

cnf(c_0_1979,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1963,c_0_1143]) ).

cnf(c_0_1980,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1964,c_0_1372]) ).

cnf(c_0_1981,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1965,c_0_1607]) ).

cnf(c_0_1982,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1966,c_0_33]) ).

cnf(c_0_1983,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1967,c_0_35]) ).

cnf(c_0_1984,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1968,c_0_39]) ).

cnf(c_0_1985,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1969,c_0_49]) ).

cnf(c_0_1986,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1970,c_0_72]) ).

cnf(c_0_1987,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1971,c_0_118]) ).

cnf(c_0_1988,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1972,c_0_200]) ).

cnf(c_0_1989,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1973,c_0_33]) ).

cnf(c_0_1990,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1974,c_0_200]) ).

cnf(c_0_1991,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1975,c_0_200]) ).

cnf(c_0_1992,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1976,c_0_334]) ).

cnf(c_0_1993,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1977,c_0_512]) ).

cnf(c_0_1994,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1978,c_0_711]) ).

cnf(c_0_1995,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1979,c_0_922]) ).

cnf(c_0_1996,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1980,c_0_1143]) ).

cnf(c_0_1997,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1981,c_0_1372]) ).

cnf(c_0_1998,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1982,c_0_1607]) ).

cnf(c_0_1999,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1983,c_0_33]) ).

cnf(c_0_2000,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_1984,c_0_35]) ).

cnf(c_0_2001,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_1985,c_0_39]) ).

cnf(c_0_2002,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1986,c_0_49]) ).

cnf(c_0_2003,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1987,c_0_72]) ).

cnf(c_0_2004,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1988,c_0_118]) ).

cnf(c_0_2005,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1989,c_0_1372]) ).

cnf(c_0_2006,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_1990,c_0_118]) ).

cnf(c_0_2007,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1991,c_0_118]) ).

cnf(c_0_2008,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1992,c_0_200]) ).

cnf(c_0_2009,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1993,c_0_334]) ).

cnf(c_0_2010,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1994,c_0_512]) ).

cnf(c_0_2011,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1995,c_0_711]) ).

cnf(c_0_2012,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1996,c_0_922]) ).

cnf(c_0_2013,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1997,c_0_1143]) ).

cnf(c_0_2014,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1998,c_0_1372]) ).

cnf(c_0_2015,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_1999,c_0_1607]) ).

cnf(c_0_2016,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2000,c_0_33]) ).

cnf(c_0_2017,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2001,c_0_35]) ).

cnf(c_0_2018,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2002,c_0_39]) ).

cnf(c_0_2019,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2003,c_0_49]) ).

cnf(c_0_2020,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2004,c_0_72]) ).

cnf(c_0_2021,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2005,c_0_1143]) ).

cnf(c_0_2022,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2006,c_0_72]) ).

cnf(c_0_2023,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2007,c_0_72]) ).

cnf(c_0_2024,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2008,c_0_118]) ).

cnf(c_0_2025,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2009,c_0_200]) ).

cnf(c_0_2026,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2010,c_0_334]) ).

cnf(c_0_2027,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2011,c_0_512]) ).

cnf(c_0_2028,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2012,c_0_711]) ).

cnf(c_0_2029,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2013,c_0_922]) ).

cnf(c_0_2030,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2014,c_0_1143]) ).

cnf(c_0_2031,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2015,c_0_1372]) ).

cnf(c_0_2032,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2016,c_0_1607]) ).

cnf(c_0_2033,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2017,c_0_33]) ).

cnf(c_0_2034,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2018,c_0_35]) ).

cnf(c_0_2035,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2019,c_0_39]) ).

cnf(c_0_2036,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2020,c_0_49]) ).

cnf(c_0_2037,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2021,c_0_922]) ).

cnf(c_0_2038,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_2022,c_0_49]) ).

cnf(c_0_2039,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2023,c_0_49]) ).

cnf(c_0_2040,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2024,c_0_72]) ).

cnf(c_0_2041,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2025,c_0_118]) ).

cnf(c_0_2042,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2026,c_0_200]) ).

cnf(c_0_2043,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2027,c_0_334]) ).

cnf(c_0_2044,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2028,c_0_512]) ).

cnf(c_0_2045,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2029,c_0_711]) ).

cnf(c_0_2046,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2030,c_0_922]) ).

cnf(c_0_2047,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2031,c_0_1143]) ).

cnf(c_0_2048,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2032,c_0_1372]) ).

cnf(c_0_2049,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2033,c_0_1607]) ).

cnf(c_0_2050,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2034,c_0_33]) ).

cnf(c_0_2051,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2035,c_0_35]) ).

cnf(c_0_2052,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2036,c_0_39]) ).

cnf(c_0_2053,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2037,c_0_711]) ).

cnf(c_0_2054,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_2038,c_0_39]) ).

cnf(c_0_2055,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2039,c_0_39]) ).

cnf(c_0_2056,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2040,c_0_49]) ).

cnf(c_0_2057,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2041,c_0_72]) ).

cnf(c_0_2058,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2042,c_0_118]) ).

cnf(c_0_2059,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2043,c_0_200]) ).

cnf(c_0_2060,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2044,c_0_334]) ).

cnf(c_0_2061,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2045,c_0_512]) ).

cnf(c_0_2062,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2046,c_0_711]) ).

cnf(c_0_2063,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2047,c_0_922]) ).

cnf(c_0_2064,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2048,c_0_1143]) ).

cnf(c_0_2065,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2049,c_0_1372]) ).

cnf(c_0_2066,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2050,c_0_1607]) ).

cnf(c_0_2067,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2051,c_0_33]) ).

cnf(c_0_2068,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2052,c_0_35]) ).

cnf(c_0_2069,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2053,c_0_512]) ).

cnf(c_0_2070,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_2054,c_0_35]) ).

cnf(c_0_2071,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2055,c_0_35]) ).

cnf(c_0_2072,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2056,c_0_39]) ).

cnf(c_0_2073,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2057,c_0_49]) ).

cnf(c_0_2074,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2058,c_0_72]) ).

cnf(c_0_2075,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2059,c_0_118]) ).

cnf(c_0_2076,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2060,c_0_200]) ).

cnf(c_0_2077,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2061,c_0_334]) ).

cnf(c_0_2078,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2062,c_0_512]) ).

cnf(c_0_2079,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2063,c_0_711]) ).

cnf(c_0_2080,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2064,c_0_922]) ).

cnf(c_0_2081,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2065,c_0_1143]) ).

cnf(c_0_2082,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2066,c_0_1372]) ).

cnf(c_0_2083,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2067,c_0_1607]) ).

cnf(c_0_2084,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2068,c_0_33]) ).

cnf(c_0_2085,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2069,c_0_334]) ).

cnf(c_0_2086,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2070,c_0_33]) ).

cnf(c_0_2087,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2071,c_0_33]) ).

cnf(c_0_2088,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2072,c_0_35]) ).

cnf(c_0_2089,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2073,c_0_39]) ).

cnf(c_0_2090,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2074,c_0_49]) ).

cnf(c_0_2091,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2075,c_0_72]) ).

cnf(c_0_2092,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2076,c_0_118]) ).

cnf(c_0_2093,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2077,c_0_200]) ).

cnf(c_0_2094,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2078,c_0_334]) ).

cnf(c_0_2095,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2079,c_0_512]) ).

cnf(c_0_2096,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2080,c_0_711]) ).

cnf(c_0_2097,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2081,c_0_922]) ).

cnf(c_0_2098,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2082,c_0_1143]) ).

cnf(c_0_2099,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2083,c_0_1372]) ).

cnf(c_0_2100,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2084,c_0_1607]) ).

cnf(c_0_2101,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2085,c_0_200]) ).

cnf(c_0_2102,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2086,c_0_2087]) ).

cnf(c_0_2103,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2088,c_0_33]) ).

cnf(c_0_2104,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2089,c_0_35]) ).

cnf(c_0_2105,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2090,c_0_39]) ).

cnf(c_0_2106,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2091,c_0_49]) ).

cnf(c_0_2107,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2092,c_0_72]) ).

cnf(c_0_2108,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2093,c_0_118]) ).

cnf(c_0_2109,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2094,c_0_200]) ).

cnf(c_0_2110,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2095,c_0_334]) ).

cnf(c_0_2111,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2096,c_0_512]) ).

cnf(c_0_2112,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2097,c_0_711]) ).

cnf(c_0_2113,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2098,c_0_922]) ).

cnf(c_0_2114,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2099,c_0_1143]) ).

cnf(c_0_2115,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2100,c_0_1372]) ).

cnf(c_0_2116,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2101,c_0_118]) ).

cnf(c_0_2117,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2102,c_0_1846]) ).

cnf(c_0_2118,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2103,c_0_1846]) ).

cnf(c_0_2119,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2104,c_0_33]) ).

cnf(c_0_2120,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2105,c_0_35]) ).

cnf(c_0_2121,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2106,c_0_39]) ).

cnf(c_0_2122,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2107,c_0_49]) ).

cnf(c_0_2123,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2108,c_0_72]) ).

cnf(c_0_2124,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2109,c_0_118]) ).

cnf(c_0_2125,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2110,c_0_200]) ).

cnf(c_0_2126,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2111,c_0_334]) ).

cnf(c_0_2127,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2112,c_0_512]) ).

cnf(c_0_2128,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2113,c_0_711]) ).

cnf(c_0_2129,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2114,c_0_922]) ).

cnf(c_0_2130,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2115,c_0_1143]) ).

cnf(c_0_2131,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2116,c_0_72]) ).

cnf(c_0_2132,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2117,c_0_1607]) ).

cnf(c_0_2133,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2118,c_0_1607]) ).

cnf(c_0_2134,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2119,c_0_1846]) ).

cnf(c_0_2135,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2120,c_0_33]) ).

cnf(c_0_2136,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2121,c_0_35]) ).

cnf(c_0_2137,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2122,c_0_39]) ).

cnf(c_0_2138,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2123,c_0_49]) ).

cnf(c_0_2139,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2124,c_0_72]) ).

cnf(c_0_2140,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2125,c_0_118]) ).

cnf(c_0_2141,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2126,c_0_200]) ).

cnf(c_0_2142,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2127,c_0_334]) ).

cnf(c_0_2143,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2128,c_0_512]) ).

cnf(c_0_2144,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2129,c_0_711]) ).

cnf(c_0_2145,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2130,c_0_922]) ).

cnf(c_0_2146,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2131,c_0_49]) ).

cnf(c_0_2147,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2132,c_0_1372]) ).

cnf(c_0_2148,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2133,c_0_1372]) ).

cnf(c_0_2149,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2134,c_0_1607]) ).

cnf(c_0_2150,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2135,c_0_1846]) ).

cnf(c_0_2151,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2136,c_0_33]) ).

cnf(c_0_2152,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2137,c_0_35]) ).

cnf(c_0_2153,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2138,c_0_39]) ).

cnf(c_0_2154,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2139,c_0_49]) ).

cnf(c_0_2155,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2140,c_0_72]) ).

cnf(c_0_2156,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2141,c_0_118]) ).

cnf(c_0_2157,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2142,c_0_200]) ).

cnf(c_0_2158,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2143,c_0_334]) ).

cnf(c_0_2159,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2144,c_0_512]) ).

cnf(c_0_2160,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2145,c_0_711]) ).

cnf(c_0_2161,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2146,c_0_39]) ).

cnf(c_0_2162,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2147,c_0_1143]) ).

cnf(c_0_2163,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2148,c_0_1143]) ).

cnf(c_0_2164,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2149,c_0_1372]) ).

cnf(c_0_2165,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2150,c_0_1607]) ).

cnf(c_0_2166,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2151,c_0_1846]) ).

cnf(c_0_2167,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2152,c_0_33]) ).

cnf(c_0_2168,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2153,c_0_35]) ).

cnf(c_0_2169,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2154,c_0_39]) ).

cnf(c_0_2170,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2155,c_0_49]) ).

cnf(c_0_2171,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2156,c_0_72]) ).

cnf(c_0_2172,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2157,c_0_118]) ).

cnf(c_0_2173,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2158,c_0_200]) ).

cnf(c_0_2174,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2159,c_0_334]) ).

cnf(c_0_2175,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2160,c_0_512]) ).

cnf(c_0_2176,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2161,c_0_35]) ).

cnf(c_0_2177,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2162,c_0_922]) ).

cnf(c_0_2178,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2163,c_0_922]) ).

cnf(c_0_2179,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2164,c_0_1143]) ).

cnf(c_0_2180,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2165,c_0_1372]) ).

cnf(c_0_2181,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2166,c_0_1607]) ).

cnf(c_0_2182,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2167,c_0_1846]) ).

cnf(c_0_2183,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2168,c_0_33]) ).

cnf(c_0_2184,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2169,c_0_35]) ).

cnf(c_0_2185,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2170,c_0_39]) ).

cnf(c_0_2186,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2171,c_0_49]) ).

cnf(c_0_2187,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2172,c_0_72]) ).

cnf(c_0_2188,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2173,c_0_118]) ).

cnf(c_0_2189,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2174,c_0_200]) ).

cnf(c_0_2190,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2175,c_0_334]) ).

cnf(c_0_2191,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2176,c_0_33]) ).

cnf(c_0_2192,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2177,c_0_711]) ).

cnf(c_0_2193,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2178,c_0_711]) ).

cnf(c_0_2194,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2179,c_0_922]) ).

cnf(c_0_2195,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2180,c_0_1143]) ).

cnf(c_0_2196,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2181,c_0_1372]) ).

cnf(c_0_2197,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2182,c_0_1607]) ).

cnf(c_0_2198,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2183,c_0_1846]) ).

cnf(c_0_2199,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2184,c_0_33]) ).

cnf(c_0_2200,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2185,c_0_35]) ).

cnf(c_0_2201,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2186,c_0_39]) ).

cnf(c_0_2202,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2187,c_0_49]) ).

cnf(c_0_2203,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2188,c_0_72]) ).

cnf(c_0_2204,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2189,c_0_118]) ).

cnf(c_0_2205,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2190,c_0_200]) ).

cnf(c_0_2206,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2191,c_0_1607]) ).

cnf(c_0_2207,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2192,c_0_512]) ).

cnf(c_0_2208,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2193,c_0_512]) ).

cnf(c_0_2209,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2194,c_0_711]) ).

cnf(c_0_2210,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2195,c_0_922]) ).

cnf(c_0_2211,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2196,c_0_1143]) ).

cnf(c_0_2212,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2197,c_0_1372]) ).

cnf(c_0_2213,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2198,c_0_1607]) ).

cnf(c_0_2214,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2199,c_0_1846]) ).

cnf(c_0_2215,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2200,c_0_33]) ).

cnf(c_0_2216,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2201,c_0_35]) ).

cnf(c_0_2217,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2202,c_0_39]) ).

cnf(c_0_2218,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2203,c_0_49]) ).

cnf(c_0_2219,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2204,c_0_72]) ).

cnf(c_0_2220,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2205,c_0_118]) ).

cnf(c_0_2221,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2206,c_0_1372]) ).

cnf(c_0_2222,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2207,c_0_334]) ).

cnf(c_0_2223,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2208,c_0_334]) ).

cnf(c_0_2224,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2209,c_0_512]) ).

cnf(c_0_2225,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2210,c_0_711]) ).

cnf(c_0_2226,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2211,c_0_922]) ).

cnf(c_0_2227,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2212,c_0_1143]) ).

cnf(c_0_2228,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2213,c_0_1372]) ).

cnf(c_0_2229,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2214,c_0_1607]) ).

cnf(c_0_2230,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2215,c_0_1846]) ).

cnf(c_0_2231,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2216,c_0_33]) ).

cnf(c_0_2232,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2217,c_0_35]) ).

cnf(c_0_2233,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2218,c_0_39]) ).

cnf(c_0_2234,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2219,c_0_49]) ).

cnf(c_0_2235,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2220,c_0_72]) ).

cnf(c_0_2236,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2221,c_0_1143]) ).

cnf(c_0_2237,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2222,c_0_200]) ).

cnf(c_0_2238,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2223,c_0_200]) ).

cnf(c_0_2239,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2224,c_0_334]) ).

cnf(c_0_2240,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2225,c_0_512]) ).

cnf(c_0_2241,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2226,c_0_711]) ).

cnf(c_0_2242,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2227,c_0_922]) ).

cnf(c_0_2243,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2228,c_0_1143]) ).

cnf(c_0_2244,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2229,c_0_1372]) ).

cnf(c_0_2245,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2230,c_0_1607]) ).

cnf(c_0_2246,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2231,c_0_1846]) ).

cnf(c_0_2247,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2232,c_0_33]) ).

cnf(c_0_2248,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2233,c_0_35]) ).

cnf(c_0_2249,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2234,c_0_39]) ).

cnf(c_0_2250,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2235,c_0_49]) ).

cnf(c_0_2251,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2236,c_0_922]) ).

cnf(c_0_2252,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2237,c_0_118]) ).

cnf(c_0_2253,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2238,c_0_118]) ).

cnf(c_0_2254,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2239,c_0_200]) ).

cnf(c_0_2255,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2240,c_0_334]) ).

cnf(c_0_2256,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2241,c_0_512]) ).

cnf(c_0_2257,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2242,c_0_711]) ).

cnf(c_0_2258,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2243,c_0_922]) ).

cnf(c_0_2259,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2244,c_0_1143]) ).

cnf(c_0_2260,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2245,c_0_1372]) ).

cnf(c_0_2261,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2246,c_0_1607]) ).

cnf(c_0_2262,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2247,c_0_1846]) ).

cnf(c_0_2263,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2248,c_0_33]) ).

cnf(c_0_2264,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2249,c_0_35]) ).

cnf(c_0_2265,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2250,c_0_39]) ).

cnf(c_0_2266,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2251,c_0_711]) ).

cnf(c_0_2267,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2252,c_0_72]) ).

cnf(c_0_2268,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2253,c_0_72]) ).

cnf(c_0_2269,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2254,c_0_118]) ).

cnf(c_0_2270,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2255,c_0_200]) ).

cnf(c_0_2271,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2256,c_0_334]) ).

cnf(c_0_2272,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2257,c_0_512]) ).

cnf(c_0_2273,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2258,c_0_711]) ).

cnf(c_0_2274,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2259,c_0_922]) ).

cnf(c_0_2275,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2260,c_0_1143]) ).

cnf(c_0_2276,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2261,c_0_1372]) ).

cnf(c_0_2277,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2262,c_0_1607]) ).

cnf(c_0_2278,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2263,c_0_1846]) ).

cnf(c_0_2279,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2264,c_0_33]) ).

cnf(c_0_2280,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2265,c_0_35]) ).

cnf(c_0_2281,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2266,c_0_512]) ).

cnf(c_0_2282,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_2267,c_0_49]) ).

cnf(c_0_2283,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2268,c_0_49]) ).

cnf(c_0_2284,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2269,c_0_72]) ).

cnf(c_0_2285,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2270,c_0_118]) ).

cnf(c_0_2286,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2271,c_0_200]) ).

cnf(c_0_2287,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2272,c_0_334]) ).

cnf(c_0_2288,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2273,c_0_512]) ).

cnf(c_0_2289,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2274,c_0_711]) ).

cnf(c_0_2290,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2275,c_0_922]) ).

cnf(c_0_2291,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2276,c_0_1143]) ).

cnf(c_0_2292,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2277,c_0_1372]) ).

cnf(c_0_2293,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2278,c_0_1607]) ).

cnf(c_0_2294,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2279,c_0_1846]) ).

cnf(c_0_2295,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2280,c_0_33]) ).

cnf(c_0_2296,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2281,c_0_334]) ).

cnf(c_0_2297,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_2282,c_0_39]) ).

cnf(c_0_2298,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2283,c_0_39]) ).

cnf(c_0_2299,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2284,c_0_49]) ).

cnf(c_0_2300,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2285,c_0_72]) ).

cnf(c_0_2301,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2286,c_0_118]) ).

cnf(c_0_2302,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2287,c_0_200]) ).

cnf(c_0_2303,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2288,c_0_334]) ).

cnf(c_0_2304,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2289,c_0_512]) ).

cnf(c_0_2305,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2290,c_0_711]) ).

cnf(c_0_2306,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2291,c_0_922]) ).

cnf(c_0_2307,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2292,c_0_1143]) ).

cnf(c_0_2308,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2293,c_0_1372]) ).

cnf(c_0_2309,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2294,c_0_1607]) ).

cnf(c_0_2310,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2295,c_0_1846]) ).

cnf(c_0_2311,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2296,c_0_200]) ).

cnf(c_0_2312,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_2297,c_0_35]) ).

cnf(c_0_2313,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2298,c_0_35]) ).

cnf(c_0_2314,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2299,c_0_39]) ).

cnf(c_0_2315,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2300,c_0_49]) ).

cnf(c_0_2316,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2301,c_0_72]) ).

cnf(c_0_2317,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2302,c_0_118]) ).

cnf(c_0_2318,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2303,c_0_200]) ).

cnf(c_0_2319,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2304,c_0_334]) ).

cnf(c_0_2320,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2305,c_0_512]) ).

cnf(c_0_2321,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2306,c_0_711]) ).

cnf(c_0_2322,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2307,c_0_922]) ).

cnf(c_0_2323,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2308,c_0_1143]) ).

cnf(c_0_2324,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2309,c_0_1372]) ).

cnf(c_0_2325,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2310,c_0_1607]) ).

cnf(c_0_2326,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2311,c_0_118]) ).

cnf(c_0_2327,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2312,c_0_33]) ).

cnf(c_0_2328,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2313,c_0_33]) ).

cnf(c_0_2329,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2314,c_0_35]) ).

cnf(c_0_2330,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2315,c_0_39]) ).

cnf(c_0_2331,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2316,c_0_49]) ).

cnf(c_0_2332,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2317,c_0_72]) ).

cnf(c_0_2333,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2318,c_0_118]) ).

cnf(c_0_2334,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2319,c_0_200]) ).

cnf(c_0_2335,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2320,c_0_334]) ).

cnf(c_0_2336,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2321,c_0_512]) ).

cnf(c_0_2337,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2322,c_0_711]) ).

cnf(c_0_2338,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2323,c_0_922]) ).

cnf(c_0_2339,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2324,c_0_1143]) ).

cnf(c_0_2340,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2325,c_0_1372]) ).

cnf(c_0_2341,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2326,c_0_72]) ).

cnf(c_0_2342,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2327,c_0_2328]) ).

cnf(c_0_2343,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2329,c_0_33]) ).

cnf(c_0_2344,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2330,c_0_35]) ).

cnf(c_0_2345,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2331,c_0_39]) ).

cnf(c_0_2346,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2332,c_0_49]) ).

cnf(c_0_2347,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2333,c_0_72]) ).

cnf(c_0_2348,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2334,c_0_118]) ).

cnf(c_0_2349,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2335,c_0_200]) ).

cnf(c_0_2350,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2336,c_0_334]) ).

cnf(c_0_2351,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2337,c_0_512]) ).

cnf(c_0_2352,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2338,c_0_711]) ).

cnf(c_0_2353,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2339,c_0_922]) ).

cnf(c_0_2354,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2340,c_0_1143]) ).

cnf(c_0_2355,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2341,c_0_49]) ).

cnf(c_0_2356,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2342,c_0_2087]) ).

cnf(c_0_2357,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2343,c_0_2087]) ).

cnf(c_0_2358,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2344,c_0_33]) ).

cnf(c_0_2359,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2345,c_0_35]) ).

cnf(c_0_2360,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2346,c_0_39]) ).

cnf(c_0_2361,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2347,c_0_49]) ).

cnf(c_0_2362,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2348,c_0_72]) ).

cnf(c_0_2363,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2349,c_0_118]) ).

cnf(c_0_2364,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2350,c_0_200]) ).

cnf(c_0_2365,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2351,c_0_334]) ).

cnf(c_0_2366,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2352,c_0_512]) ).

cnf(c_0_2367,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2353,c_0_711]) ).

cnf(c_0_2368,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2354,c_0_922]) ).

cnf(c_0_2369,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2355,c_0_39]) ).

cnf(c_0_2370,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2356,c_0_1846]) ).

cnf(c_0_2371,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2357,c_0_1846]) ).

cnf(c_0_2372,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2358,c_0_2087]) ).

cnf(c_0_2373,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2359,c_0_33]) ).

cnf(c_0_2374,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2360,c_0_35]) ).

cnf(c_0_2375,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2361,c_0_39]) ).

cnf(c_0_2376,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2362,c_0_49]) ).

cnf(c_0_2377,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2363,c_0_72]) ).

cnf(c_0_2378,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2364,c_0_118]) ).

cnf(c_0_2379,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2365,c_0_200]) ).

cnf(c_0_2380,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2366,c_0_334]) ).

cnf(c_0_2381,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2367,c_0_512]) ).

cnf(c_0_2382,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2368,c_0_711]) ).

cnf(c_0_2383,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2369,c_0_35]) ).

cnf(c_0_2384,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2370,c_0_1607]) ).

cnf(c_0_2385,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2371,c_0_1607]) ).

cnf(c_0_2386,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2372,c_0_1846]) ).

cnf(c_0_2387,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2373,c_0_2087]) ).

cnf(c_0_2388,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2374,c_0_33]) ).

cnf(c_0_2389,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2375,c_0_35]) ).

cnf(c_0_2390,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2376,c_0_39]) ).

cnf(c_0_2391,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2377,c_0_49]) ).

cnf(c_0_2392,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2378,c_0_72]) ).

cnf(c_0_2393,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2379,c_0_118]) ).

cnf(c_0_2394,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2380,c_0_200]) ).

cnf(c_0_2395,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2381,c_0_334]) ).

cnf(c_0_2396,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2382,c_0_512]) ).

cnf(c_0_2397,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2383,c_0_33]) ).

cnf(c_0_2398,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2384,c_0_1372]) ).

cnf(c_0_2399,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2385,c_0_1372]) ).

cnf(c_0_2400,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2386,c_0_1607]) ).

cnf(c_0_2401,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2387,c_0_1846]) ).

cnf(c_0_2402,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2388,c_0_2087]) ).

cnf(c_0_2403,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2389,c_0_33]) ).

cnf(c_0_2404,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2390,c_0_35]) ).

cnf(c_0_2405,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2391,c_0_39]) ).

cnf(c_0_2406,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2392,c_0_49]) ).

cnf(c_0_2407,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2393,c_0_72]) ).

cnf(c_0_2408,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2394,c_0_118]) ).

cnf(c_0_2409,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2395,c_0_200]) ).

cnf(c_0_2410,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2396,c_0_334]) ).

cnf(c_0_2411,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2397,c_0_1846]) ).

cnf(c_0_2412,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2398,c_0_1143]) ).

cnf(c_0_2413,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2399,c_0_1143]) ).

cnf(c_0_2414,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2400,c_0_1372]) ).

cnf(c_0_2415,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2401,c_0_1607]) ).

cnf(c_0_2416,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2402,c_0_1846]) ).

cnf(c_0_2417,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2403,c_0_2087]) ).

cnf(c_0_2418,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2404,c_0_33]) ).

cnf(c_0_2419,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2405,c_0_35]) ).

cnf(c_0_2420,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2406,c_0_39]) ).

cnf(c_0_2421,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2407,c_0_49]) ).

cnf(c_0_2422,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2408,c_0_72]) ).

cnf(c_0_2423,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2409,c_0_118]) ).

cnf(c_0_2424,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2410,c_0_200]) ).

cnf(c_0_2425,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2411,c_0_1607]) ).

cnf(c_0_2426,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2412,c_0_922]) ).

cnf(c_0_2427,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2413,c_0_922]) ).

cnf(c_0_2428,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2414,c_0_1143]) ).

cnf(c_0_2429,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2415,c_0_1372]) ).

cnf(c_0_2430,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2416,c_0_1607]) ).

cnf(c_0_2431,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2417,c_0_1846]) ).

cnf(c_0_2432,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2418,c_0_2087]) ).

cnf(c_0_2433,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2419,c_0_33]) ).

cnf(c_0_2434,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2420,c_0_35]) ).

cnf(c_0_2435,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2421,c_0_39]) ).

cnf(c_0_2436,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2422,c_0_49]) ).

cnf(c_0_2437,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2423,c_0_72]) ).

cnf(c_0_2438,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2424,c_0_118]) ).

cnf(c_0_2439,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2425,c_0_1372]) ).

cnf(c_0_2440,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2426,c_0_711]) ).

cnf(c_0_2441,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2427,c_0_711]) ).

cnf(c_0_2442,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2428,c_0_922]) ).

cnf(c_0_2443,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2429,c_0_1143]) ).

cnf(c_0_2444,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2430,c_0_1372]) ).

cnf(c_0_2445,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2431,c_0_1607]) ).

cnf(c_0_2446,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2432,c_0_1846]) ).

cnf(c_0_2447,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2433,c_0_2087]) ).

cnf(c_0_2448,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2434,c_0_33]) ).

cnf(c_0_2449,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2435,c_0_35]) ).

cnf(c_0_2450,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2436,c_0_39]) ).

cnf(c_0_2451,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2437,c_0_49]) ).

cnf(c_0_2452,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2438,c_0_72]) ).

cnf(c_0_2453,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2439,c_0_1143]) ).

cnf(c_0_2454,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2440,c_0_512]) ).

cnf(c_0_2455,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2441,c_0_512]) ).

cnf(c_0_2456,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2442,c_0_711]) ).

cnf(c_0_2457,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2443,c_0_922]) ).

cnf(c_0_2458,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2444,c_0_1143]) ).

cnf(c_0_2459,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2445,c_0_1372]) ).

cnf(c_0_2460,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2446,c_0_1607]) ).

cnf(c_0_2461,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2447,c_0_1846]) ).

cnf(c_0_2462,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2448,c_0_2087]) ).

cnf(c_0_2463,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2449,c_0_33]) ).

cnf(c_0_2464,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2450,c_0_35]) ).

cnf(c_0_2465,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2451,c_0_39]) ).

cnf(c_0_2466,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2452,c_0_49]) ).

cnf(c_0_2467,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2453,c_0_922]) ).

cnf(c_0_2468,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2454,c_0_334]) ).

cnf(c_0_2469,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2455,c_0_334]) ).

cnf(c_0_2470,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2456,c_0_512]) ).

cnf(c_0_2471,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2457,c_0_711]) ).

cnf(c_0_2472,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2458,c_0_922]) ).

cnf(c_0_2473,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2459,c_0_1143]) ).

cnf(c_0_2474,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2460,c_0_1372]) ).

cnf(c_0_2475,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2461,c_0_1607]) ).

cnf(c_0_2476,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2462,c_0_1846]) ).

cnf(c_0_2477,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2463,c_0_2087]) ).

cnf(c_0_2478,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2464,c_0_33]) ).

cnf(c_0_2479,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2465,c_0_35]) ).

cnf(c_0_2480,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2466,c_0_39]) ).

cnf(c_0_2481,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2467,c_0_711]) ).

cnf(c_0_2482,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2468,c_0_200]) ).

cnf(c_0_2483,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2469,c_0_200]) ).

cnf(c_0_2484,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2470,c_0_334]) ).

cnf(c_0_2485,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2471,c_0_512]) ).

cnf(c_0_2486,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2472,c_0_711]) ).

cnf(c_0_2487,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2473,c_0_922]) ).

cnf(c_0_2488,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2474,c_0_1143]) ).

cnf(c_0_2489,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2475,c_0_1372]) ).

cnf(c_0_2490,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2476,c_0_1607]) ).

cnf(c_0_2491,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2477,c_0_1846]) ).

cnf(c_0_2492,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2478,c_0_2087]) ).

cnf(c_0_2493,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2479,c_0_33]) ).

cnf(c_0_2494,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2480,c_0_35]) ).

cnf(c_0_2495,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2481,c_0_512]) ).

cnf(c_0_2496,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2482,c_0_118]) ).

cnf(c_0_2497,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2483,c_0_118]) ).

cnf(c_0_2498,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2484,c_0_200]) ).

cnf(c_0_2499,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2485,c_0_334]) ).

cnf(c_0_2500,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2486,c_0_512]) ).

cnf(c_0_2501,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2487,c_0_711]) ).

cnf(c_0_2502,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2488,c_0_922]) ).

cnf(c_0_2503,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2489,c_0_1143]) ).

cnf(c_0_2504,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2490,c_0_1372]) ).

cnf(c_0_2505,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2491,c_0_1607]) ).

cnf(c_0_2506,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2492,c_0_1846]) ).

cnf(c_0_2507,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2493,c_0_2087]) ).

cnf(c_0_2508,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2494,c_0_33]) ).

cnf(c_0_2509,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2495,c_0_334]) ).

cnf(c_0_2510,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2496,c_0_72]) ).

cnf(c_0_2511,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2497,c_0_72]) ).

cnf(c_0_2512,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2498,c_0_118]) ).

cnf(c_0_2513,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2499,c_0_200]) ).

cnf(c_0_2514,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2500,c_0_334]) ).

cnf(c_0_2515,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2501,c_0_512]) ).

cnf(c_0_2516,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2502,c_0_711]) ).

cnf(c_0_2517,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2503,c_0_922]) ).

cnf(c_0_2518,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2504,c_0_1143]) ).

cnf(c_0_2519,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2505,c_0_1372]) ).

cnf(c_0_2520,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2506,c_0_1607]) ).

cnf(c_0_2521,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2507,c_0_1846]) ).

cnf(c_0_2522,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2508,c_0_2087]) ).

cnf(c_0_2523,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2509,c_0_200]) ).

cnf(c_0_2524,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_2510,c_0_49]) ).

cnf(c_0_2525,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2511,c_0_49]) ).

cnf(c_0_2526,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2512,c_0_72]) ).

cnf(c_0_2527,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2513,c_0_118]) ).

cnf(c_0_2528,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2514,c_0_200]) ).

cnf(c_0_2529,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2515,c_0_334]) ).

cnf(c_0_2530,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2516,c_0_512]) ).

cnf(c_0_2531,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2517,c_0_711]) ).

cnf(c_0_2532,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2518,c_0_922]) ).

cnf(c_0_2533,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2519,c_0_1143]) ).

cnf(c_0_2534,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2520,c_0_1372]) ).

cnf(c_0_2535,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2521,c_0_1607]) ).

cnf(c_0_2536,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2522,c_0_1846]) ).

cnf(c_0_2537,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2523,c_0_118]) ).

cnf(c_0_2538,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_2524,c_0_39]) ).

cnf(c_0_2539,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2525,c_0_39]) ).

cnf(c_0_2540,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2526,c_0_49]) ).

cnf(c_0_2541,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2527,c_0_72]) ).

cnf(c_0_2542,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2528,c_0_118]) ).

cnf(c_0_2543,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2529,c_0_200]) ).

cnf(c_0_2544,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2530,c_0_334]) ).

cnf(c_0_2545,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2531,c_0_512]) ).

cnf(c_0_2546,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2532,c_0_711]) ).

cnf(c_0_2547,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2533,c_0_922]) ).

cnf(c_0_2548,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2534,c_0_1143]) ).

cnf(c_0_2549,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2535,c_0_1372]) ).

cnf(c_0_2550,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2536,c_0_1607]) ).

cnf(c_0_2551,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2537,c_0_72]) ).

cnf(c_0_2552,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_2538,c_0_35]) ).

cnf(c_0_2553,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2539,c_0_35]) ).

cnf(c_0_2554,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2540,c_0_39]) ).

cnf(c_0_2555,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2541,c_0_49]) ).

cnf(c_0_2556,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2542,c_0_72]) ).

cnf(c_0_2557,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2543,c_0_118]) ).

cnf(c_0_2558,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2544,c_0_200]) ).

cnf(c_0_2559,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2545,c_0_334]) ).

cnf(c_0_2560,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2546,c_0_512]) ).

cnf(c_0_2561,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2547,c_0_711]) ).

cnf(c_0_2562,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2548,c_0_922]) ).

cnf(c_0_2563,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2549,c_0_1143]) ).

cnf(c_0_2564,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2550,c_0_1372]) ).

cnf(c_0_2565,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2551,c_0_49]) ).

cnf(c_0_2566,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2552,c_0_33]) ).

cnf(c_0_2567,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2553,c_0_33]) ).

cnf(c_0_2568,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2554,c_0_35]) ).

cnf(c_0_2569,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2555,c_0_39]) ).

cnf(c_0_2570,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2556,c_0_49]) ).

cnf(c_0_2571,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2557,c_0_72]) ).

cnf(c_0_2572,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2558,c_0_118]) ).

cnf(c_0_2573,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2559,c_0_200]) ).

cnf(c_0_2574,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2560,c_0_334]) ).

cnf(c_0_2575,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2561,c_0_512]) ).

cnf(c_0_2576,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2562,c_0_711]) ).

cnf(c_0_2577,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2563,c_0_922]) ).

cnf(c_0_2578,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2564,c_0_1143]) ).

cnf(c_0_2579,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2565,c_0_39]) ).

cnf(c_0_2580,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2566,c_0_2567]) ).

cnf(c_0_2581,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2568,c_0_33]) ).

cnf(c_0_2582,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2569,c_0_35]) ).

cnf(c_0_2583,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2570,c_0_39]) ).

cnf(c_0_2584,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2571,c_0_49]) ).

cnf(c_0_2585,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2572,c_0_72]) ).

cnf(c_0_2586,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2573,c_0_118]) ).

cnf(c_0_2587,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2574,c_0_200]) ).

cnf(c_0_2588,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2575,c_0_334]) ).

cnf(c_0_2589,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2576,c_0_512]) ).

cnf(c_0_2590,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2577,c_0_711]) ).

cnf(c_0_2591,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2578,c_0_922]) ).

cnf(c_0_2592,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2579,c_0_35]) ).

cnf(c_0_2593,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2580,c_0_2328]) ).

cnf(c_0_2594,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2581,c_0_2328]) ).

cnf(c_0_2595,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2582,c_0_33]) ).

cnf(c_0_2596,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2583,c_0_35]) ).

cnf(c_0_2597,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2584,c_0_39]) ).

cnf(c_0_2598,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2585,c_0_49]) ).

cnf(c_0_2599,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2586,c_0_72]) ).

cnf(c_0_2600,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2587,c_0_118]) ).

cnf(c_0_2601,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2588,c_0_200]) ).

cnf(c_0_2602,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2589,c_0_334]) ).

cnf(c_0_2603,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2590,c_0_512]) ).

cnf(c_0_2604,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2591,c_0_711]) ).

cnf(c_0_2605,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2592,c_0_33]) ).

cnf(c_0_2606,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2593,c_0_2087]) ).

cnf(c_0_2607,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2594,c_0_2087]) ).

cnf(c_0_2608,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2595,c_0_2328]) ).

cnf(c_0_2609,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2596,c_0_33]) ).

cnf(c_0_2610,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2597,c_0_35]) ).

cnf(c_0_2611,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2598,c_0_39]) ).

cnf(c_0_2612,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2599,c_0_49]) ).

cnf(c_0_2613,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2600,c_0_72]) ).

cnf(c_0_2614,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2601,c_0_118]) ).

cnf(c_0_2615,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2602,c_0_200]) ).

cnf(c_0_2616,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2603,c_0_334]) ).

cnf(c_0_2617,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2604,c_0_512]) ).

cnf(c_0_2618,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2605,c_0_2087]) ).

cnf(c_0_2619,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2606,c_0_1846]) ).

cnf(c_0_2620,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2607,c_0_1846]) ).

cnf(c_0_2621,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2608,c_0_2087]) ).

cnf(c_0_2622,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2609,c_0_2328]) ).

cnf(c_0_2623,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2610,c_0_33]) ).

cnf(c_0_2624,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2611,c_0_35]) ).

cnf(c_0_2625,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2612,c_0_39]) ).

cnf(c_0_2626,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2613,c_0_49]) ).

cnf(c_0_2627,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2614,c_0_72]) ).

cnf(c_0_2628,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2615,c_0_118]) ).

cnf(c_0_2629,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2616,c_0_200]) ).

cnf(c_0_2630,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2617,c_0_334]) ).

cnf(c_0_2631,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2618,c_0_1846]) ).

cnf(c_0_2632,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2619,c_0_1607]) ).

cnf(c_0_2633,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2620,c_0_1607]) ).

cnf(c_0_2634,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2621,c_0_1846]) ).

cnf(c_0_2635,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2622,c_0_2087]) ).

cnf(c_0_2636,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2623,c_0_2328]) ).

cnf(c_0_2637,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2624,c_0_33]) ).

cnf(c_0_2638,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2625,c_0_35]) ).

cnf(c_0_2639,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2626,c_0_39]) ).

cnf(c_0_2640,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2627,c_0_49]) ).

cnf(c_0_2641,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2628,c_0_72]) ).

cnf(c_0_2642,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2629,c_0_118]) ).

cnf(c_0_2643,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2630,c_0_200]) ).

cnf(c_0_2644,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2631,c_0_1607]) ).

cnf(c_0_2645,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2632,c_0_1372]) ).

cnf(c_0_2646,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2633,c_0_1372]) ).

cnf(c_0_2647,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2634,c_0_1607]) ).

cnf(c_0_2648,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2635,c_0_1846]) ).

cnf(c_0_2649,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2636,c_0_2087]) ).

cnf(c_0_2650,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2637,c_0_2328]) ).

cnf(c_0_2651,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2638,c_0_33]) ).

cnf(c_0_2652,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2639,c_0_35]) ).

cnf(c_0_2653,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2640,c_0_39]) ).

cnf(c_0_2654,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2641,c_0_49]) ).

cnf(c_0_2655,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2642,c_0_72]) ).

cnf(c_0_2656,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2643,c_0_118]) ).

cnf(c_0_2657,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2644,c_0_1372]) ).

cnf(c_0_2658,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2645,c_0_1143]) ).

cnf(c_0_2659,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2646,c_0_1143]) ).

cnf(c_0_2660,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2647,c_0_1372]) ).

cnf(c_0_2661,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2648,c_0_1607]) ).

cnf(c_0_2662,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2649,c_0_1846]) ).

cnf(c_0_2663,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2650,c_0_2087]) ).

cnf(c_0_2664,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2651,c_0_2328]) ).

cnf(c_0_2665,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2652,c_0_33]) ).

cnf(c_0_2666,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2653,c_0_35]) ).

cnf(c_0_2667,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2654,c_0_39]) ).

cnf(c_0_2668,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2655,c_0_49]) ).

cnf(c_0_2669,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2656,c_0_72]) ).

cnf(c_0_2670,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2657,c_0_1143]) ).

cnf(c_0_2671,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2658,c_0_922]) ).

cnf(c_0_2672,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2659,c_0_922]) ).

cnf(c_0_2673,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2660,c_0_1143]) ).

cnf(c_0_2674,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2661,c_0_1372]) ).

cnf(c_0_2675,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2662,c_0_1607]) ).

cnf(c_0_2676,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2663,c_0_1846]) ).

cnf(c_0_2677,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2664,c_0_2087]) ).

cnf(c_0_2678,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2665,c_0_2328]) ).

cnf(c_0_2679,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2666,c_0_33]) ).

cnf(c_0_2680,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2667,c_0_35]) ).

cnf(c_0_2681,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2668,c_0_39]) ).

cnf(c_0_2682,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2669,c_0_49]) ).

cnf(c_0_2683,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2670,c_0_922]) ).

cnf(c_0_2684,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2671,c_0_711]) ).

cnf(c_0_2685,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2672,c_0_711]) ).

cnf(c_0_2686,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2673,c_0_922]) ).

cnf(c_0_2687,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2674,c_0_1143]) ).

cnf(c_0_2688,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2675,c_0_1372]) ).

cnf(c_0_2689,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2676,c_0_1607]) ).

cnf(c_0_2690,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2677,c_0_1846]) ).

cnf(c_0_2691,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2678,c_0_2087]) ).

cnf(c_0_2692,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2679,c_0_2328]) ).

cnf(c_0_2693,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2680,c_0_33]) ).

cnf(c_0_2694,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2681,c_0_35]) ).

cnf(c_0_2695,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2682,c_0_39]) ).

cnf(c_0_2696,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2683,c_0_711]) ).

cnf(c_0_2697,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2684,c_0_512]) ).

cnf(c_0_2698,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2685,c_0_512]) ).

cnf(c_0_2699,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2686,c_0_711]) ).

cnf(c_0_2700,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2687,c_0_922]) ).

cnf(c_0_2701,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2688,c_0_1143]) ).

cnf(c_0_2702,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2689,c_0_1372]) ).

cnf(c_0_2703,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2690,c_0_1607]) ).

cnf(c_0_2704,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2691,c_0_1846]) ).

cnf(c_0_2705,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2692,c_0_2087]) ).

cnf(c_0_2706,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2693,c_0_2328]) ).

cnf(c_0_2707,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2694,c_0_33]) ).

cnf(c_0_2708,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2695,c_0_35]) ).

cnf(c_0_2709,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2696,c_0_512]) ).

cnf(c_0_2710,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2697,c_0_334]) ).

cnf(c_0_2711,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2698,c_0_334]) ).

cnf(c_0_2712,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2699,c_0_512]) ).

cnf(c_0_2713,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2700,c_0_711]) ).

cnf(c_0_2714,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2701,c_0_922]) ).

cnf(c_0_2715,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2702,c_0_1143]) ).

cnf(c_0_2716,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2703,c_0_1372]) ).

cnf(c_0_2717,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2704,c_0_1607]) ).

cnf(c_0_2718,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2705,c_0_1846]) ).

cnf(c_0_2719,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2706,c_0_2087]) ).

cnf(c_0_2720,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2707,c_0_2328]) ).

cnf(c_0_2721,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2708,c_0_33]) ).

cnf(c_0_2722,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2709,c_0_334]) ).

cnf(c_0_2723,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2710,c_0_200]) ).

cnf(c_0_2724,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2711,c_0_200]) ).

cnf(c_0_2725,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2712,c_0_334]) ).

cnf(c_0_2726,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2713,c_0_512]) ).

cnf(c_0_2727,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2714,c_0_711]) ).

cnf(c_0_2728,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2715,c_0_922]) ).

cnf(c_0_2729,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2716,c_0_1143]) ).

cnf(c_0_2730,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2717,c_0_1372]) ).

cnf(c_0_2731,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2718,c_0_1607]) ).

cnf(c_0_2732,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2719,c_0_1846]) ).

cnf(c_0_2733,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2720,c_0_2087]) ).

cnf(c_0_2734,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2721,c_0_2328]) ).

cnf(c_0_2735,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2722,c_0_200]) ).

cnf(c_0_2736,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2723,c_0_118]) ).

cnf(c_0_2737,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2724,c_0_118]) ).

cnf(c_0_2738,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2725,c_0_200]) ).

cnf(c_0_2739,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2726,c_0_334]) ).

cnf(c_0_2740,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2727,c_0_512]) ).

cnf(c_0_2741,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2728,c_0_711]) ).

cnf(c_0_2742,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2729,c_0_922]) ).

cnf(c_0_2743,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2730,c_0_1143]) ).

cnf(c_0_2744,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2731,c_0_1372]) ).

cnf(c_0_2745,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2732,c_0_1607]) ).

cnf(c_0_2746,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2733,c_0_1846]) ).

cnf(c_0_2747,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2734,c_0_2087]) ).

cnf(c_0_2748,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2735,c_0_118]) ).

cnf(c_0_2749,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2736,c_0_72]) ).

cnf(c_0_2750,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2737,c_0_72]) ).

cnf(c_0_2751,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2738,c_0_118]) ).

cnf(c_0_2752,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2739,c_0_200]) ).

cnf(c_0_2753,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2740,c_0_334]) ).

cnf(c_0_2754,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2741,c_0_512]) ).

cnf(c_0_2755,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2742,c_0_711]) ).

cnf(c_0_2756,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2743,c_0_922]) ).

cnf(c_0_2757,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2744,c_0_1143]) ).

cnf(c_0_2758,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2745,c_0_1372]) ).

cnf(c_0_2759,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2746,c_0_1607]) ).

cnf(c_0_2760,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2747,c_0_1846]) ).

cnf(c_0_2761,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2748,c_0_72]) ).

cnf(c_0_2762,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_2749,c_0_49]) ).

cnf(c_0_2763,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2750,c_0_49]) ).

cnf(c_0_2764,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2751,c_0_72]) ).

cnf(c_0_2765,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2752,c_0_118]) ).

cnf(c_0_2766,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2753,c_0_200]) ).

cnf(c_0_2767,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2754,c_0_334]) ).

cnf(c_0_2768,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2755,c_0_512]) ).

cnf(c_0_2769,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2756,c_0_711]) ).

cnf(c_0_2770,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2757,c_0_922]) ).

cnf(c_0_2771,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2758,c_0_1143]) ).

cnf(c_0_2772,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2759,c_0_1372]) ).

cnf(c_0_2773,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2760,c_0_1607]) ).

cnf(c_0_2774,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2761,c_0_49]) ).

cnf(c_0_2775,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_2762,c_0_39]) ).

cnf(c_0_2776,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2763,c_0_39]) ).

cnf(c_0_2777,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2764,c_0_49]) ).

cnf(c_0_2778,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2765,c_0_72]) ).

cnf(c_0_2779,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2766,c_0_118]) ).

cnf(c_0_2780,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2767,c_0_200]) ).

cnf(c_0_2781,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2768,c_0_334]) ).

cnf(c_0_2782,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2769,c_0_512]) ).

cnf(c_0_2783,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2770,c_0_711]) ).

cnf(c_0_2784,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2771,c_0_922]) ).

cnf(c_0_2785,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2772,c_0_1143]) ).

cnf(c_0_2786,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2773,c_0_1372]) ).

cnf(c_0_2787,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2774,c_0_39]) ).

cnf(c_0_2788,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_2775,c_0_35]) ).

cnf(c_0_2789,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2776,c_0_35]) ).

cnf(c_0_2790,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2777,c_0_39]) ).

cnf(c_0_2791,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2778,c_0_49]) ).

cnf(c_0_2792,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2779,c_0_72]) ).

cnf(c_0_2793,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2780,c_0_118]) ).

cnf(c_0_2794,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2781,c_0_200]) ).

cnf(c_0_2795,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2782,c_0_334]) ).

cnf(c_0_2796,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2783,c_0_512]) ).

cnf(c_0_2797,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2784,c_0_711]) ).

cnf(c_0_2798,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2785,c_0_922]) ).

cnf(c_0_2799,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2786,c_0_1143]) ).

cnf(c_0_2800,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2787,c_0_35]) ).

cnf(c_0_2801,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2788,c_0_33]) ).

cnf(c_0_2802,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2789,c_0_33]) ).

cnf(c_0_2803,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2790,c_0_35]) ).

cnf(c_0_2804,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2791,c_0_39]) ).

cnf(c_0_2805,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2792,c_0_49]) ).

cnf(c_0_2806,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2793,c_0_72]) ).

cnf(c_0_2807,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2794,c_0_118]) ).

cnf(c_0_2808,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2795,c_0_200]) ).

cnf(c_0_2809,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2796,c_0_334]) ).

cnf(c_0_2810,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2797,c_0_512]) ).

cnf(c_0_2811,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2798,c_0_711]) ).

cnf(c_0_2812,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2799,c_0_922]) ).

cnf(c_0_2813,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2800,c_0_33]) ).

cnf(c_0_2814,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2801,c_0_2802]) ).

cnf(c_0_2815,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2803,c_0_33]) ).

cnf(c_0_2816,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2804,c_0_35]) ).

cnf(c_0_2817,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2805,c_0_39]) ).

cnf(c_0_2818,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2806,c_0_49]) ).

cnf(c_0_2819,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2807,c_0_72]) ).

cnf(c_0_2820,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2808,c_0_118]) ).

cnf(c_0_2821,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2809,c_0_200]) ).

cnf(c_0_2822,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2810,c_0_334]) ).

cnf(c_0_2823,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2811,c_0_512]) ).

cnf(c_0_2824,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2812,c_0_711]) ).

cnf(c_0_2825,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2813,c_0_2328]) ).

cnf(c_0_2826,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2814,c_0_2567]) ).

cnf(c_0_2827,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2815,c_0_2567]) ).

cnf(c_0_2828,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2816,c_0_33]) ).

cnf(c_0_2829,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2817,c_0_35]) ).

cnf(c_0_2830,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2818,c_0_39]) ).

cnf(c_0_2831,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2819,c_0_49]) ).

cnf(c_0_2832,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2820,c_0_72]) ).

cnf(c_0_2833,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2821,c_0_118]) ).

cnf(c_0_2834,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2822,c_0_200]) ).

cnf(c_0_2835,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2823,c_0_334]) ).

cnf(c_0_2836,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2824,c_0_512]) ).

cnf(c_0_2837,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2825,c_0_2087]) ).

cnf(c_0_2838,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2826,c_0_2328]) ).

cnf(c_0_2839,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2827,c_0_2328]) ).

cnf(c_0_2840,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2828,c_0_2567]) ).

cnf(c_0_2841,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2829,c_0_33]) ).

cnf(c_0_2842,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2830,c_0_35]) ).

cnf(c_0_2843,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2831,c_0_39]) ).

cnf(c_0_2844,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2832,c_0_49]) ).

cnf(c_0_2845,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2833,c_0_72]) ).

cnf(c_0_2846,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2834,c_0_118]) ).

cnf(c_0_2847,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2835,c_0_200]) ).

cnf(c_0_2848,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2836,c_0_334]) ).

cnf(c_0_2849,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2837,c_0_1846]) ).

cnf(c_0_2850,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2838,c_0_2087]) ).

cnf(c_0_2851,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2839,c_0_2087]) ).

cnf(c_0_2852,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2840,c_0_2328]) ).

cnf(c_0_2853,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2841,c_0_2567]) ).

cnf(c_0_2854,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2842,c_0_33]) ).

cnf(c_0_2855,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2843,c_0_35]) ).

cnf(c_0_2856,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2844,c_0_39]) ).

cnf(c_0_2857,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2845,c_0_49]) ).

cnf(c_0_2858,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2846,c_0_72]) ).

cnf(c_0_2859,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2847,c_0_118]) ).

cnf(c_0_2860,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2848,c_0_200]) ).

cnf(c_0_2861,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2849,c_0_1607]) ).

cnf(c_0_2862,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2850,c_0_1846]) ).

cnf(c_0_2863,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2851,c_0_1846]) ).

cnf(c_0_2864,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2852,c_0_2087]) ).

cnf(c_0_2865,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2853,c_0_2328]) ).

cnf(c_0_2866,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2854,c_0_2567]) ).

cnf(c_0_2867,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2855,c_0_33]) ).

cnf(c_0_2868,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2856,c_0_35]) ).

cnf(c_0_2869,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2857,c_0_39]) ).

cnf(c_0_2870,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2858,c_0_49]) ).

cnf(c_0_2871,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2859,c_0_72]) ).

cnf(c_0_2872,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2860,c_0_118]) ).

cnf(c_0_2873,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2861,c_0_1372]) ).

cnf(c_0_2874,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2862,c_0_1607]) ).

cnf(c_0_2875,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2863,c_0_1607]) ).

cnf(c_0_2876,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2864,c_0_1846]) ).

cnf(c_0_2877,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2865,c_0_2087]) ).

cnf(c_0_2878,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2866,c_0_2328]) ).

cnf(c_0_2879,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2867,c_0_2567]) ).

cnf(c_0_2880,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2868,c_0_33]) ).

cnf(c_0_2881,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2869,c_0_35]) ).

cnf(c_0_2882,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2870,c_0_39]) ).

cnf(c_0_2883,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2871,c_0_49]) ).

cnf(c_0_2884,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2872,c_0_72]) ).

cnf(c_0_2885,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2873,c_0_1143]) ).

cnf(c_0_2886,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2874,c_0_1372]) ).

cnf(c_0_2887,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2875,c_0_1372]) ).

cnf(c_0_2888,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2876,c_0_1607]) ).

cnf(c_0_2889,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2877,c_0_1846]) ).

cnf(c_0_2890,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2878,c_0_2087]) ).

cnf(c_0_2891,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2879,c_0_2328]) ).

cnf(c_0_2892,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2880,c_0_2567]) ).

cnf(c_0_2893,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2881,c_0_33]) ).

cnf(c_0_2894,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2882,c_0_35]) ).

cnf(c_0_2895,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2883,c_0_39]) ).

cnf(c_0_2896,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2884,c_0_49]) ).

cnf(c_0_2897,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2885,c_0_922]) ).

cnf(c_0_2898,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2886,c_0_1143]) ).

cnf(c_0_2899,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2887,c_0_1143]) ).

cnf(c_0_2900,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2888,c_0_1372]) ).

cnf(c_0_2901,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2889,c_0_1607]) ).

cnf(c_0_2902,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2890,c_0_1846]) ).

cnf(c_0_2903,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2891,c_0_2087]) ).

cnf(c_0_2904,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2892,c_0_2328]) ).

cnf(c_0_2905,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2893,c_0_2567]) ).

cnf(c_0_2906,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2894,c_0_33]) ).

cnf(c_0_2907,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2895,c_0_35]) ).

cnf(c_0_2908,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2896,c_0_39]) ).

cnf(c_0_2909,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2897,c_0_711]) ).

cnf(c_0_2910,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2898,c_0_922]) ).

cnf(c_0_2911,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2899,c_0_922]) ).

cnf(c_0_2912,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2900,c_0_1143]) ).

cnf(c_0_2913,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2901,c_0_1372]) ).

cnf(c_0_2914,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2902,c_0_1607]) ).

cnf(c_0_2915,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2903,c_0_1846]) ).

cnf(c_0_2916,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2904,c_0_2087]) ).

cnf(c_0_2917,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2905,c_0_2328]) ).

cnf(c_0_2918,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2906,c_0_2567]) ).

cnf(c_0_2919,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2907,c_0_33]) ).

cnf(c_0_2920,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2908,c_0_35]) ).

cnf(c_0_2921,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2909,c_0_512]) ).

cnf(c_0_2922,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2910,c_0_711]) ).

cnf(c_0_2923,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2911,c_0_711]) ).

cnf(c_0_2924,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2912,c_0_922]) ).

cnf(c_0_2925,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2913,c_0_1143]) ).

cnf(c_0_2926,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2914,c_0_1372]) ).

cnf(c_0_2927,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2915,c_0_1607]) ).

cnf(c_0_2928,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2916,c_0_1846]) ).

cnf(c_0_2929,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2917,c_0_2087]) ).

cnf(c_0_2930,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2918,c_0_2328]) ).

cnf(c_0_2931,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2919,c_0_2567]) ).

cnf(c_0_2932,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2920,c_0_33]) ).

cnf(c_0_2933,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2921,c_0_334]) ).

cnf(c_0_2934,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2922,c_0_512]) ).

cnf(c_0_2935,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2923,c_0_512]) ).

cnf(c_0_2936,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2924,c_0_711]) ).

cnf(c_0_2937,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2925,c_0_922]) ).

cnf(c_0_2938,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2926,c_0_1143]) ).

cnf(c_0_2939,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2927,c_0_1372]) ).

cnf(c_0_2940,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2928,c_0_1607]) ).

cnf(c_0_2941,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2929,c_0_1846]) ).

cnf(c_0_2942,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2930,c_0_2087]) ).

cnf(c_0_2943,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2931,c_0_2328]) ).

cnf(c_0_2944,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2932,c_0_2567]) ).

cnf(c_0_2945,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2933,c_0_200]) ).

cnf(c_0_2946,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2934,c_0_334]) ).

cnf(c_0_2947,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2935,c_0_334]) ).

cnf(c_0_2948,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2936,c_0_512]) ).

cnf(c_0_2949,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2937,c_0_711]) ).

cnf(c_0_2950,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2938,c_0_922]) ).

cnf(c_0_2951,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2939,c_0_1143]) ).

cnf(c_0_2952,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2940,c_0_1372]) ).

cnf(c_0_2953,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2941,c_0_1607]) ).

cnf(c_0_2954,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2942,c_0_1846]) ).

cnf(c_0_2955,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2943,c_0_2087]) ).

cnf(c_0_2956,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2944,c_0_2328]) ).

cnf(c_0_2957,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2945,c_0_118]) ).

cnf(c_0_2958,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2946,c_0_200]) ).

cnf(c_0_2959,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2947,c_0_200]) ).

cnf(c_0_2960,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2948,c_0_334]) ).

cnf(c_0_2961,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2949,c_0_512]) ).

cnf(c_0_2962,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2950,c_0_711]) ).

cnf(c_0_2963,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2951,c_0_922]) ).

cnf(c_0_2964,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2952,c_0_1143]) ).

cnf(c_0_2965,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2953,c_0_1372]) ).

cnf(c_0_2966,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2954,c_0_1607]) ).

cnf(c_0_2967,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2955,c_0_1846]) ).

cnf(c_0_2968,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2956,c_0_2087]) ).

cnf(c_0_2969,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2957,c_0_72]) ).

cnf(c_0_2970,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2958,c_0_118]) ).

cnf(c_0_2971,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2959,c_0_118]) ).

cnf(c_0_2972,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2960,c_0_200]) ).

cnf(c_0_2973,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2961,c_0_334]) ).

cnf(c_0_2974,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2962,c_0_512]) ).

cnf(c_0_2975,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2963,c_0_711]) ).

cnf(c_0_2976,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2964,c_0_922]) ).

cnf(c_0_2977,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2965,c_0_1143]) ).

cnf(c_0_2978,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2966,c_0_1372]) ).

cnf(c_0_2979,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2967,c_0_1607]) ).

cnf(c_0_2980,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2968,c_0_1846]) ).

cnf(c_0_2981,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2969,c_0_49]) ).

cnf(c_0_2982,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_2970,c_0_72]) ).

cnf(c_0_2983,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2971,c_0_72]) ).

cnf(c_0_2984,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2972,c_0_118]) ).

cnf(c_0_2985,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2973,c_0_200]) ).

cnf(c_0_2986,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2974,c_0_334]) ).

cnf(c_0_2987,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2975,c_0_512]) ).

cnf(c_0_2988,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2976,c_0_711]) ).

cnf(c_0_2989,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2977,c_0_922]) ).

cnf(c_0_2990,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2978,c_0_1143]) ).

cnf(c_0_2991,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2979,c_0_1372]) ).

cnf(c_0_2992,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2980,c_0_1607]) ).

cnf(c_0_2993,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2981,c_0_39]) ).

cnf(c_0_2994,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_2982,c_0_49]) ).

cnf(c_0_2995,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2983,c_0_49]) ).

cnf(c_0_2996,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2984,c_0_72]) ).

cnf(c_0_2997,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2985,c_0_118]) ).

cnf(c_0_2998,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2986,c_0_200]) ).

cnf(c_0_2999,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2987,c_0_334]) ).

cnf(c_0_3000,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2988,c_0_512]) ).

cnf(c_0_3001,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2989,c_0_711]) ).

cnf(c_0_3002,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2990,c_0_922]) ).

cnf(c_0_3003,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2991,c_0_1143]) ).

cnf(c_0_3004,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2992,c_0_1372]) ).

cnf(c_0_3005,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_2993,c_0_35]) ).

cnf(c_0_3006,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_2994,c_0_39]) ).

cnf(c_0_3007,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_2995,c_0_39]) ).

cnf(c_0_3008,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2996,c_0_49]) ).

cnf(c_0_3009,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2997,c_0_72]) ).

cnf(c_0_3010,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2998,c_0_118]) ).

cnf(c_0_3011,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_2999,c_0_200]) ).

cnf(c_0_3012,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3000,c_0_334]) ).

cnf(c_0_3013,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3001,c_0_512]) ).

cnf(c_0_3014,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3002,c_0_711]) ).

cnf(c_0_3015,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3003,c_0_922]) ).

cnf(c_0_3016,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3004,c_0_1143]) ).

cnf(c_0_3017,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3005,c_0_33]) ).

cnf(c_0_3018,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_3006,c_0_35]) ).

cnf(c_0_3019,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3007,c_0_35]) ).

cnf(c_0_3020,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3008,c_0_39]) ).

cnf(c_0_3021,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3009,c_0_49]) ).

cnf(c_0_3022,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3010,c_0_72]) ).

cnf(c_0_3023,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3011,c_0_118]) ).

cnf(c_0_3024,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3012,c_0_200]) ).

cnf(c_0_3025,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3013,c_0_334]) ).

cnf(c_0_3026,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3014,c_0_512]) ).

cnf(c_0_3027,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3015,c_0_711]) ).

cnf(c_0_3028,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3016,c_0_922]) ).

cnf(c_0_3029,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3017,c_0_2567]) ).

cnf(c_0_3030,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3018,c_0_33]) ).

cnf(c_0_3031,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3019,c_0_33]) ).

cnf(c_0_3032,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3020,c_0_35]) ).

cnf(c_0_3033,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3021,c_0_39]) ).

cnf(c_0_3034,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3022,c_0_49]) ).

cnf(c_0_3035,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3023,c_0_72]) ).

cnf(c_0_3036,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3024,c_0_118]) ).

cnf(c_0_3037,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3025,c_0_200]) ).

cnf(c_0_3038,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3026,c_0_334]) ).

cnf(c_0_3039,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3027,c_0_512]) ).

cnf(c_0_3040,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3028,c_0_711]) ).

cnf(c_0_3041,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3029,c_0_2328]) ).

cnf(c_0_3042,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3030,c_0_3031]) ).

cnf(c_0_3043,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3032,c_0_33]) ).

cnf(c_0_3044,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3033,c_0_35]) ).

cnf(c_0_3045,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3034,c_0_39]) ).

cnf(c_0_3046,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3035,c_0_49]) ).

cnf(c_0_3047,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3036,c_0_72]) ).

cnf(c_0_3048,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3037,c_0_118]) ).

cnf(c_0_3049,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3038,c_0_200]) ).

cnf(c_0_3050,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3039,c_0_334]) ).

cnf(c_0_3051,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3040,c_0_512]) ).

cnf(c_0_3052,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3041,c_0_2087]) ).

cnf(c_0_3053,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3042,c_0_2802]) ).

cnf(c_0_3054,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3043,c_0_2802]) ).

cnf(c_0_3055,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3044,c_0_33]) ).

cnf(c_0_3056,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3045,c_0_35]) ).

cnf(c_0_3057,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3046,c_0_39]) ).

cnf(c_0_3058,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3047,c_0_49]) ).

cnf(c_0_3059,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3048,c_0_72]) ).

cnf(c_0_3060,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3049,c_0_118]) ).

cnf(c_0_3061,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3050,c_0_200]) ).

cnf(c_0_3062,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3051,c_0_334]) ).

cnf(c_0_3063,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3052,c_0_1846]) ).

cnf(c_0_3064,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3053,c_0_2567]) ).

cnf(c_0_3065,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3054,c_0_2567]) ).

cnf(c_0_3066,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3055,c_0_2802]) ).

cnf(c_0_3067,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3056,c_0_33]) ).

cnf(c_0_3068,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3057,c_0_35]) ).

cnf(c_0_3069,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3058,c_0_39]) ).

cnf(c_0_3070,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3059,c_0_49]) ).

cnf(c_0_3071,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3060,c_0_72]) ).

cnf(c_0_3072,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3061,c_0_118]) ).

cnf(c_0_3073,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3062,c_0_200]) ).

cnf(c_0_3074,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3063,c_0_1607]) ).

cnf(c_0_3075,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3064,c_0_2328]) ).

cnf(c_0_3076,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3065,c_0_2328]) ).

cnf(c_0_3077,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3066,c_0_2567]) ).

cnf(c_0_3078,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3067,c_0_2802]) ).

cnf(c_0_3079,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3068,c_0_33]) ).

cnf(c_0_3080,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3069,c_0_35]) ).

cnf(c_0_3081,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3070,c_0_39]) ).

cnf(c_0_3082,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3071,c_0_49]) ).

cnf(c_0_3083,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3072,c_0_72]) ).

cnf(c_0_3084,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3073,c_0_118]) ).

cnf(c_0_3085,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3074,c_0_1372]) ).

cnf(c_0_3086,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3075,c_0_2087]) ).

cnf(c_0_3087,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3076,c_0_2087]) ).

cnf(c_0_3088,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3077,c_0_2328]) ).

cnf(c_0_3089,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3078,c_0_2567]) ).

cnf(c_0_3090,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3079,c_0_2802]) ).

cnf(c_0_3091,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3080,c_0_33]) ).

cnf(c_0_3092,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3081,c_0_35]) ).

cnf(c_0_3093,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3082,c_0_39]) ).

cnf(c_0_3094,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3083,c_0_49]) ).

cnf(c_0_3095,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3084,c_0_72]) ).

cnf(c_0_3096,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3085,c_0_1143]) ).

cnf(c_0_3097,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3086,c_0_1846]) ).

cnf(c_0_3098,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3087,c_0_1846]) ).

cnf(c_0_3099,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3088,c_0_2087]) ).

cnf(c_0_3100,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3089,c_0_2328]) ).

cnf(c_0_3101,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3090,c_0_2567]) ).

cnf(c_0_3102,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3091,c_0_2802]) ).

cnf(c_0_3103,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3092,c_0_33]) ).

cnf(c_0_3104,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3093,c_0_35]) ).

cnf(c_0_3105,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3094,c_0_39]) ).

cnf(c_0_3106,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3095,c_0_49]) ).

cnf(c_0_3107,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3096,c_0_922]) ).

cnf(c_0_3108,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3097,c_0_1607]) ).

cnf(c_0_3109,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3098,c_0_1607]) ).

cnf(c_0_3110,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3099,c_0_1846]) ).

cnf(c_0_3111,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3100,c_0_2087]) ).

cnf(c_0_3112,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3101,c_0_2328]) ).

cnf(c_0_3113,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3102,c_0_2567]) ).

cnf(c_0_3114,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3103,c_0_2802]) ).

cnf(c_0_3115,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3104,c_0_33]) ).

cnf(c_0_3116,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3105,c_0_35]) ).

cnf(c_0_3117,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3106,c_0_39]) ).

cnf(c_0_3118,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3107,c_0_711]) ).

cnf(c_0_3119,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3108,c_0_1372]) ).

cnf(c_0_3120,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3109,c_0_1372]) ).

cnf(c_0_3121,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3110,c_0_1607]) ).

cnf(c_0_3122,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3111,c_0_1846]) ).

cnf(c_0_3123,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3112,c_0_2087]) ).

cnf(c_0_3124,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3113,c_0_2328]) ).

cnf(c_0_3125,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3114,c_0_2567]) ).

cnf(c_0_3126,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3115,c_0_2802]) ).

cnf(c_0_3127,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3116,c_0_33]) ).

cnf(c_0_3128,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3117,c_0_35]) ).

cnf(c_0_3129,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3118,c_0_512]) ).

cnf(c_0_3130,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3119,c_0_1143]) ).

cnf(c_0_3131,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3120,c_0_1143]) ).

cnf(c_0_3132,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3121,c_0_1372]) ).

cnf(c_0_3133,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3122,c_0_1607]) ).

cnf(c_0_3134,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3123,c_0_1846]) ).

cnf(c_0_3135,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3124,c_0_2087]) ).

cnf(c_0_3136,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3125,c_0_2328]) ).

cnf(c_0_3137,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3126,c_0_2567]) ).

cnf(c_0_3138,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3127,c_0_2802]) ).

cnf(c_0_3139,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3128,c_0_33]) ).

cnf(c_0_3140,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3129,c_0_334]) ).

cnf(c_0_3141,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3130,c_0_922]) ).

cnf(c_0_3142,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3131,c_0_922]) ).

cnf(c_0_3143,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3132,c_0_1143]) ).

cnf(c_0_3144,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3133,c_0_1372]) ).

cnf(c_0_3145,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3134,c_0_1607]) ).

cnf(c_0_3146,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3135,c_0_1846]) ).

cnf(c_0_3147,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3136,c_0_2087]) ).

cnf(c_0_3148,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3137,c_0_2328]) ).

cnf(c_0_3149,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3138,c_0_2567]) ).

cnf(c_0_3150,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3139,c_0_2802]) ).

cnf(c_0_3151,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3140,c_0_200]) ).

cnf(c_0_3152,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3141,c_0_711]) ).

cnf(c_0_3153,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3142,c_0_711]) ).

cnf(c_0_3154,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3143,c_0_922]) ).

cnf(c_0_3155,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3144,c_0_1143]) ).

cnf(c_0_3156,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3145,c_0_1372]) ).

cnf(c_0_3157,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3146,c_0_1607]) ).

cnf(c_0_3158,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3147,c_0_1846]) ).

cnf(c_0_3159,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3148,c_0_2087]) ).

cnf(c_0_3160,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3149,c_0_2328]) ).

cnf(c_0_3161,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3150,c_0_2567]) ).

cnf(c_0_3162,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3151,c_0_118]) ).

cnf(c_0_3163,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3152,c_0_512]) ).

cnf(c_0_3164,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3153,c_0_512]) ).

cnf(c_0_3165,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3154,c_0_711]) ).

cnf(c_0_3166,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3155,c_0_922]) ).

cnf(c_0_3167,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3156,c_0_1143]) ).

cnf(c_0_3168,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3157,c_0_1372]) ).

cnf(c_0_3169,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3158,c_0_1607]) ).

cnf(c_0_3170,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3159,c_0_1846]) ).

cnf(c_0_3171,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3160,c_0_2087]) ).

cnf(c_0_3172,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3161,c_0_2328]) ).

cnf(c_0_3173,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3162,c_0_72]) ).

cnf(c_0_3174,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3163,c_0_334]) ).

cnf(c_0_3175,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3164,c_0_334]) ).

cnf(c_0_3176,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3165,c_0_512]) ).

cnf(c_0_3177,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3166,c_0_711]) ).

cnf(c_0_3178,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3167,c_0_922]) ).

cnf(c_0_3179,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3168,c_0_1143]) ).

cnf(c_0_3180,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3169,c_0_1372]) ).

cnf(c_0_3181,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3170,c_0_1607]) ).

cnf(c_0_3182,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3171,c_0_1846]) ).

cnf(c_0_3183,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3172,c_0_2087]) ).

cnf(c_0_3184,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3173,c_0_49]) ).

cnf(c_0_3185,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3174,c_0_200]) ).

cnf(c_0_3186,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3175,c_0_200]) ).

cnf(c_0_3187,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3176,c_0_334]) ).

cnf(c_0_3188,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3177,c_0_512]) ).

cnf(c_0_3189,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3178,c_0_711]) ).

cnf(c_0_3190,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3179,c_0_922]) ).

cnf(c_0_3191,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3180,c_0_1143]) ).

cnf(c_0_3192,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3181,c_0_1372]) ).

cnf(c_0_3193,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3182,c_0_1607]) ).

cnf(c_0_3194,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3183,c_0_1846]) ).

cnf(c_0_3195,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3184,c_0_39]) ).

cnf(c_0_3196,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3185,c_0_118]) ).

cnf(c_0_3197,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3186,c_0_118]) ).

cnf(c_0_3198,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3187,c_0_200]) ).

cnf(c_0_3199,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3188,c_0_334]) ).

cnf(c_0_3200,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3189,c_0_512]) ).

cnf(c_0_3201,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3190,c_0_711]) ).

cnf(c_0_3202,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3191,c_0_922]) ).

cnf(c_0_3203,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3192,c_0_1143]) ).

cnf(c_0_3204,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3193,c_0_1372]) ).

cnf(c_0_3205,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3194,c_0_1607]) ).

cnf(c_0_3206,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3195,c_0_35]) ).

cnf(c_0_3207,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3196,c_0_72]) ).

cnf(c_0_3208,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3197,c_0_72]) ).

cnf(c_0_3209,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3198,c_0_118]) ).

cnf(c_0_3210,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3199,c_0_200]) ).

cnf(c_0_3211,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3200,c_0_334]) ).

cnf(c_0_3212,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3201,c_0_512]) ).

cnf(c_0_3213,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3202,c_0_711]) ).

cnf(c_0_3214,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3203,c_0_922]) ).

cnf(c_0_3215,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3204,c_0_1143]) ).

cnf(c_0_3216,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3205,c_0_1372]) ).

cnf(c_0_3217,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3206,c_0_33]) ).

cnf(c_0_3218,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_3207,c_0_49]) ).

cnf(c_0_3219,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3208,c_0_49]) ).

cnf(c_0_3220,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3209,c_0_72]) ).

cnf(c_0_3221,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3210,c_0_118]) ).

cnf(c_0_3222,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3211,c_0_200]) ).

cnf(c_0_3223,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3212,c_0_334]) ).

cnf(c_0_3224,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3213,c_0_512]) ).

cnf(c_0_3225,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3214,c_0_711]) ).

cnf(c_0_3226,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3215,c_0_922]) ).

cnf(c_0_3227,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3216,c_0_1143]) ).

cnf(c_0_3228,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3217,c_0_2802]) ).

cnf(c_0_3229,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_3218,c_0_39]) ).

cnf(c_0_3230,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3219,c_0_39]) ).

cnf(c_0_3231,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3220,c_0_49]) ).

cnf(c_0_3232,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3221,c_0_72]) ).

cnf(c_0_3233,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3222,c_0_118]) ).

cnf(c_0_3234,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3223,c_0_200]) ).

cnf(c_0_3235,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3224,c_0_334]) ).

cnf(c_0_3236,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3225,c_0_512]) ).

cnf(c_0_3237,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3226,c_0_711]) ).

cnf(c_0_3238,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3227,c_0_922]) ).

cnf(c_0_3239,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3228,c_0_2567]) ).

cnf(c_0_3240,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_3229,c_0_35]) ).

cnf(c_0_3241,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3230,c_0_35]) ).

cnf(c_0_3242,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3231,c_0_39]) ).

cnf(c_0_3243,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3232,c_0_49]) ).

cnf(c_0_3244,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3233,c_0_72]) ).

cnf(c_0_3245,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3234,c_0_118]) ).

cnf(c_0_3246,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3235,c_0_200]) ).

cnf(c_0_3247,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3236,c_0_334]) ).

cnf(c_0_3248,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3237,c_0_512]) ).

cnf(c_0_3249,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3238,c_0_711]) ).

cnf(c_0_3250,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3239,c_0_2328]) ).

cnf(c_0_3251,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3240,c_0_33]) ).

cnf(c_0_3252,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3241,c_0_33]) ).

cnf(c_0_3253,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3242,c_0_35]) ).

cnf(c_0_3254,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3243,c_0_39]) ).

cnf(c_0_3255,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3244,c_0_49]) ).

cnf(c_0_3256,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3245,c_0_72]) ).

cnf(c_0_3257,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3246,c_0_118]) ).

cnf(c_0_3258,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3247,c_0_200]) ).

cnf(c_0_3259,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3248,c_0_334]) ).

cnf(c_0_3260,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3249,c_0_512]) ).

cnf(c_0_3261,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3250,c_0_2087]) ).

cnf(c_0_3262,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3251,c_0_3252]) ).

cnf(c_0_3263,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3253,c_0_33]) ).

cnf(c_0_3264,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3254,c_0_35]) ).

cnf(c_0_3265,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3255,c_0_39]) ).

cnf(c_0_3266,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3256,c_0_49]) ).

cnf(c_0_3267,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3257,c_0_72]) ).

cnf(c_0_3268,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3258,c_0_118]) ).

cnf(c_0_3269,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3259,c_0_200]) ).

cnf(c_0_3270,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3260,c_0_334]) ).

cnf(c_0_3271,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3261,c_0_1846]) ).

cnf(c_0_3272,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3262,c_0_3031]) ).

cnf(c_0_3273,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3263,c_0_3031]) ).

cnf(c_0_3274,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3264,c_0_33]) ).

cnf(c_0_3275,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3265,c_0_35]) ).

cnf(c_0_3276,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3266,c_0_39]) ).

cnf(c_0_3277,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3267,c_0_49]) ).

cnf(c_0_3278,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3268,c_0_72]) ).

cnf(c_0_3279,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3269,c_0_118]) ).

cnf(c_0_3280,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3270,c_0_200]) ).

cnf(c_0_3281,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3271,c_0_1607]) ).

cnf(c_0_3282,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3272,c_0_2802]) ).

cnf(c_0_3283,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3273,c_0_2802]) ).

cnf(c_0_3284,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3274,c_0_3031]) ).

cnf(c_0_3285,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3275,c_0_33]) ).

cnf(c_0_3286,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3276,c_0_35]) ).

cnf(c_0_3287,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3277,c_0_39]) ).

cnf(c_0_3288,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3278,c_0_49]) ).

cnf(c_0_3289,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3279,c_0_72]) ).

cnf(c_0_3290,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3280,c_0_118]) ).

cnf(c_0_3291,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3281,c_0_1372]) ).

cnf(c_0_3292,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3282,c_0_2567]) ).

cnf(c_0_3293,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3283,c_0_2567]) ).

cnf(c_0_3294,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3284,c_0_2802]) ).

cnf(c_0_3295,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3285,c_0_3031]) ).

cnf(c_0_3296,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3286,c_0_33]) ).

cnf(c_0_3297,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3287,c_0_35]) ).

cnf(c_0_3298,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3288,c_0_39]) ).

cnf(c_0_3299,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3289,c_0_49]) ).

cnf(c_0_3300,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3290,c_0_72]) ).

cnf(c_0_3301,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3291,c_0_1143]) ).

cnf(c_0_3302,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3292,c_0_2328]) ).

cnf(c_0_3303,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3293,c_0_2328]) ).

cnf(c_0_3304,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3294,c_0_2567]) ).

cnf(c_0_3305,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3295,c_0_2802]) ).

cnf(c_0_3306,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3296,c_0_3031]) ).

cnf(c_0_3307,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3297,c_0_33]) ).

cnf(c_0_3308,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3298,c_0_35]) ).

cnf(c_0_3309,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3299,c_0_39]) ).

cnf(c_0_3310,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3300,c_0_49]) ).

cnf(c_0_3311,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3301,c_0_922]) ).

cnf(c_0_3312,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3302,c_0_2087]) ).

cnf(c_0_3313,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3303,c_0_2087]) ).

cnf(c_0_3314,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3304,c_0_2328]) ).

cnf(c_0_3315,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3305,c_0_2567]) ).

cnf(c_0_3316,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3306,c_0_2802]) ).

cnf(c_0_3317,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3307,c_0_3031]) ).

cnf(c_0_3318,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3308,c_0_33]) ).

cnf(c_0_3319,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3309,c_0_35]) ).

cnf(c_0_3320,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3310,c_0_39]) ).

cnf(c_0_3321,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3311,c_0_711]) ).

cnf(c_0_3322,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3312,c_0_1846]) ).

cnf(c_0_3323,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3313,c_0_1846]) ).

cnf(c_0_3324,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3314,c_0_2087]) ).

cnf(c_0_3325,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3315,c_0_2328]) ).

cnf(c_0_3326,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3316,c_0_2567]) ).

cnf(c_0_3327,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3317,c_0_2802]) ).

cnf(c_0_3328,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3318,c_0_3031]) ).

cnf(c_0_3329,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3319,c_0_33]) ).

cnf(c_0_3330,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3320,c_0_35]) ).

cnf(c_0_3331,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3321,c_0_512]) ).

cnf(c_0_3332,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3322,c_0_1607]) ).

cnf(c_0_3333,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3323,c_0_1607]) ).

cnf(c_0_3334,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3324,c_0_1846]) ).

cnf(c_0_3335,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3325,c_0_2087]) ).

cnf(c_0_3336,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3326,c_0_2328]) ).

cnf(c_0_3337,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3327,c_0_2567]) ).

cnf(c_0_3338,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3328,c_0_2802]) ).

cnf(c_0_3339,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3329,c_0_3031]) ).

cnf(c_0_3340,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3330,c_0_33]) ).

cnf(c_0_3341,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3331,c_0_334]) ).

cnf(c_0_3342,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3332,c_0_1372]) ).

cnf(c_0_3343,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3333,c_0_1372]) ).

cnf(c_0_3344,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3334,c_0_1607]) ).

cnf(c_0_3345,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3335,c_0_1846]) ).

cnf(c_0_3346,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3336,c_0_2087]) ).

cnf(c_0_3347,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3337,c_0_2328]) ).

cnf(c_0_3348,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3338,c_0_2567]) ).

cnf(c_0_3349,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3339,c_0_2802]) ).

cnf(c_0_3350,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3340,c_0_3031]) ).

cnf(c_0_3351,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3341,c_0_200]) ).

cnf(c_0_3352,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3342,c_0_1143]) ).

cnf(c_0_3353,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3343,c_0_1143]) ).

cnf(c_0_3354,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3344,c_0_1372]) ).

cnf(c_0_3355,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3345,c_0_1607]) ).

cnf(c_0_3356,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3346,c_0_1846]) ).

cnf(c_0_3357,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3347,c_0_2087]) ).

cnf(c_0_3358,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3348,c_0_2328]) ).

cnf(c_0_3359,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3349,c_0_2567]) ).

cnf(c_0_3360,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3350,c_0_2802]) ).

cnf(c_0_3361,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3351,c_0_118]) ).

cnf(c_0_3362,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3352,c_0_922]) ).

cnf(c_0_3363,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3353,c_0_922]) ).

cnf(c_0_3364,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3354,c_0_1143]) ).

cnf(c_0_3365,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3355,c_0_1372]) ).

cnf(c_0_3366,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3356,c_0_1607]) ).

cnf(c_0_3367,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3357,c_0_1846]) ).

cnf(c_0_3368,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3358,c_0_2087]) ).

cnf(c_0_3369,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3359,c_0_2328]) ).

cnf(c_0_3370,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3360,c_0_2567]) ).

cnf(c_0_3371,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3361,c_0_72]) ).

cnf(c_0_3372,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3362,c_0_711]) ).

cnf(c_0_3373,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3363,c_0_711]) ).

cnf(c_0_3374,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3364,c_0_922]) ).

cnf(c_0_3375,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3365,c_0_1143]) ).

cnf(c_0_3376,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3366,c_0_1372]) ).

cnf(c_0_3377,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3367,c_0_1607]) ).

cnf(c_0_3378,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3368,c_0_1846]) ).

cnf(c_0_3379,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3369,c_0_2087]) ).

cnf(c_0_3380,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3370,c_0_2328]) ).

cnf(c_0_3381,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3371,c_0_49]) ).

cnf(c_0_3382,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3372,c_0_512]) ).

cnf(c_0_3383,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3373,c_0_512]) ).

cnf(c_0_3384,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3374,c_0_711]) ).

cnf(c_0_3385,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3375,c_0_922]) ).

cnf(c_0_3386,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3376,c_0_1143]) ).

cnf(c_0_3387,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3377,c_0_1372]) ).

cnf(c_0_3388,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3378,c_0_1607]) ).

cnf(c_0_3389,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3379,c_0_1846]) ).

cnf(c_0_3390,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3380,c_0_2087]) ).

cnf(c_0_3391,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3381,c_0_39]) ).

cnf(c_0_3392,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3382,c_0_334]) ).

cnf(c_0_3393,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3383,c_0_334]) ).

cnf(c_0_3394,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3384,c_0_512]) ).

cnf(c_0_3395,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3385,c_0_711]) ).

cnf(c_0_3396,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3386,c_0_922]) ).

cnf(c_0_3397,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3387,c_0_1143]) ).

cnf(c_0_3398,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3388,c_0_1372]) ).

cnf(c_0_3399,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3389,c_0_1607]) ).

cnf(c_0_3400,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3390,c_0_1846]) ).

cnf(c_0_3401,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3391,c_0_35]) ).

cnf(c_0_3402,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3392,c_0_200]) ).

cnf(c_0_3403,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3393,c_0_200]) ).

cnf(c_0_3404,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3394,c_0_334]) ).

cnf(c_0_3405,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3395,c_0_512]) ).

cnf(c_0_3406,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3396,c_0_711]) ).

cnf(c_0_3407,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3397,c_0_922]) ).

cnf(c_0_3408,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3398,c_0_1143]) ).

cnf(c_0_3409,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3399,c_0_1372]) ).

cnf(c_0_3410,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3400,c_0_1607]) ).

cnf(c_0_3411,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3401,c_0_33]) ).

cnf(c_0_3412,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3402,c_0_118]) ).

cnf(c_0_3413,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3403,c_0_118]) ).

cnf(c_0_3414,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3404,c_0_200]) ).

cnf(c_0_3415,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3405,c_0_334]) ).

cnf(c_0_3416,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3406,c_0_512]) ).

cnf(c_0_3417,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3407,c_0_711]) ).

cnf(c_0_3418,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3408,c_0_922]) ).

cnf(c_0_3419,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3409,c_0_1143]) ).

cnf(c_0_3420,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3410,c_0_1372]) ).

cnf(c_0_3421,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3411,c_0_3031]) ).

cnf(c_0_3422,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3412,c_0_72]) ).

cnf(c_0_3423,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3413,c_0_72]) ).

cnf(c_0_3424,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3414,c_0_118]) ).

cnf(c_0_3425,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3415,c_0_200]) ).

cnf(c_0_3426,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3416,c_0_334]) ).

cnf(c_0_3427,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3417,c_0_512]) ).

cnf(c_0_3428,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3418,c_0_711]) ).

cnf(c_0_3429,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3419,c_0_922]) ).

cnf(c_0_3430,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3420,c_0_1143]) ).

cnf(c_0_3431,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3421,c_0_2802]) ).

cnf(c_0_3432,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_3422,c_0_49]) ).

cnf(c_0_3433,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3423,c_0_49]) ).

cnf(c_0_3434,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3424,c_0_72]) ).

cnf(c_0_3435,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3425,c_0_118]) ).

cnf(c_0_3436,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3426,c_0_200]) ).

cnf(c_0_3437,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3427,c_0_334]) ).

cnf(c_0_3438,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3428,c_0_512]) ).

cnf(c_0_3439,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3429,c_0_711]) ).

cnf(c_0_3440,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3430,c_0_922]) ).

cnf(c_0_3441,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3431,c_0_2567]) ).

cnf(c_0_3442,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_3432,c_0_39]) ).

cnf(c_0_3443,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3433,c_0_39]) ).

cnf(c_0_3444,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3434,c_0_49]) ).

cnf(c_0_3445,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3435,c_0_72]) ).

cnf(c_0_3446,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3436,c_0_118]) ).

cnf(c_0_3447,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3437,c_0_200]) ).

cnf(c_0_3448,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3438,c_0_334]) ).

cnf(c_0_3449,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3439,c_0_512]) ).

cnf(c_0_3450,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3440,c_0_711]) ).

cnf(c_0_3451,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3441,c_0_2328]) ).

cnf(c_0_3452,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_3442,c_0_35]) ).

cnf(c_0_3453,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3443,c_0_35]) ).

cnf(c_0_3454,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3444,c_0_39]) ).

cnf(c_0_3455,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3445,c_0_49]) ).

cnf(c_0_3456,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3446,c_0_72]) ).

cnf(c_0_3457,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3447,c_0_118]) ).

cnf(c_0_3458,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3448,c_0_200]) ).

cnf(c_0_3459,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3449,c_0_334]) ).

cnf(c_0_3460,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3450,c_0_512]) ).

cnf(c_0_3461,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3451,c_0_2087]) ).

cnf(c_0_3462,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3452,c_0_33]) ).

cnf(c_0_3463,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3453,c_0_33]) ).

cnf(c_0_3464,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3454,c_0_35]) ).

cnf(c_0_3465,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3455,c_0_39]) ).

cnf(c_0_3466,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3456,c_0_49]) ).

cnf(c_0_3467,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3457,c_0_72]) ).

cnf(c_0_3468,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3458,c_0_118]) ).

cnf(c_0_3469,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3459,c_0_200]) ).

cnf(c_0_3470,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3460,c_0_334]) ).

cnf(c_0_3471,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3461,c_0_1846]) ).

cnf(c_0_3472,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3462,c_0_3463]) ).

cnf(c_0_3473,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3464,c_0_33]) ).

cnf(c_0_3474,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3465,c_0_35]) ).

cnf(c_0_3475,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3466,c_0_39]) ).

cnf(c_0_3476,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3467,c_0_49]) ).

cnf(c_0_3477,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3468,c_0_72]) ).

cnf(c_0_3478,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3469,c_0_118]) ).

cnf(c_0_3479,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3470,c_0_200]) ).

cnf(c_0_3480,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3471,c_0_1607]) ).

cnf(c_0_3481,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3472,c_0_3252]) ).

cnf(c_0_3482,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3473,c_0_3252]) ).

cnf(c_0_3483,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3474,c_0_33]) ).

cnf(c_0_3484,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3475,c_0_35]) ).

cnf(c_0_3485,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3476,c_0_39]) ).

cnf(c_0_3486,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3477,c_0_49]) ).

cnf(c_0_3487,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3478,c_0_72]) ).

cnf(c_0_3488,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3479,c_0_118]) ).

cnf(c_0_3489,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3480,c_0_1372]) ).

cnf(c_0_3490,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3481,c_0_3031]) ).

cnf(c_0_3491,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3482,c_0_3031]) ).

cnf(c_0_3492,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3483,c_0_3252]) ).

cnf(c_0_3493,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3484,c_0_33]) ).

cnf(c_0_3494,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3485,c_0_35]) ).

cnf(c_0_3495,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3486,c_0_39]) ).

cnf(c_0_3496,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3487,c_0_49]) ).

cnf(c_0_3497,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3488,c_0_72]) ).

cnf(c_0_3498,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3489,c_0_1143]) ).

cnf(c_0_3499,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3490,c_0_2802]) ).

cnf(c_0_3500,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3491,c_0_2802]) ).

cnf(c_0_3501,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3492,c_0_3031]) ).

cnf(c_0_3502,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3493,c_0_3252]) ).

cnf(c_0_3503,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3494,c_0_33]) ).

cnf(c_0_3504,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3495,c_0_35]) ).

cnf(c_0_3505,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3496,c_0_39]) ).

cnf(c_0_3506,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3497,c_0_49]) ).

cnf(c_0_3507,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3498,c_0_922]) ).

cnf(c_0_3508,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3499,c_0_2567]) ).

cnf(c_0_3509,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3500,c_0_2567]) ).

cnf(c_0_3510,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3501,c_0_2802]) ).

cnf(c_0_3511,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3502,c_0_3031]) ).

cnf(c_0_3512,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3503,c_0_3252]) ).

cnf(c_0_3513,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3504,c_0_33]) ).

cnf(c_0_3514,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3505,c_0_35]) ).

cnf(c_0_3515,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3506,c_0_39]) ).

cnf(c_0_3516,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3507,c_0_711]) ).

cnf(c_0_3517,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3508,c_0_2328]) ).

cnf(c_0_3518,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3509,c_0_2328]) ).

cnf(c_0_3519,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3510,c_0_2567]) ).

cnf(c_0_3520,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3511,c_0_2802]) ).

cnf(c_0_3521,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3512,c_0_3031]) ).

cnf(c_0_3522,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3513,c_0_3252]) ).

cnf(c_0_3523,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3514,c_0_33]) ).

cnf(c_0_3524,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3515,c_0_35]) ).

cnf(c_0_3525,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3516,c_0_512]) ).

cnf(c_0_3526,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3517,c_0_2087]) ).

cnf(c_0_3527,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3518,c_0_2087]) ).

cnf(c_0_3528,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3519,c_0_2328]) ).

cnf(c_0_3529,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3520,c_0_2567]) ).

cnf(c_0_3530,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3521,c_0_2802]) ).

cnf(c_0_3531,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3522,c_0_3031]) ).

cnf(c_0_3532,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3523,c_0_3252]) ).

cnf(c_0_3533,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3524,c_0_33]) ).

cnf(c_0_3534,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3525,c_0_334]) ).

cnf(c_0_3535,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3526,c_0_1846]) ).

cnf(c_0_3536,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3527,c_0_1846]) ).

cnf(c_0_3537,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3528,c_0_2087]) ).

cnf(c_0_3538,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3529,c_0_2328]) ).

cnf(c_0_3539,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3530,c_0_2567]) ).

cnf(c_0_3540,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3531,c_0_2802]) ).

cnf(c_0_3541,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3532,c_0_3031]) ).

cnf(c_0_3542,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3533,c_0_3252]) ).

cnf(c_0_3543,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3534,c_0_200]) ).

cnf(c_0_3544,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3535,c_0_1607]) ).

cnf(c_0_3545,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3536,c_0_1607]) ).

cnf(c_0_3546,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3537,c_0_1846]) ).

cnf(c_0_3547,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3538,c_0_2087]) ).

cnf(c_0_3548,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3539,c_0_2328]) ).

cnf(c_0_3549,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3540,c_0_2567]) ).

cnf(c_0_3550,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3541,c_0_2802]) ).

cnf(c_0_3551,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3542,c_0_3031]) ).

cnf(c_0_3552,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3543,c_0_118]) ).

cnf(c_0_3553,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3544,c_0_1372]) ).

cnf(c_0_3554,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3545,c_0_1372]) ).

cnf(c_0_3555,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3546,c_0_1607]) ).

cnf(c_0_3556,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3547,c_0_1846]) ).

cnf(c_0_3557,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3548,c_0_2087]) ).

cnf(c_0_3558,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3549,c_0_2328]) ).

cnf(c_0_3559,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3550,c_0_2567]) ).

cnf(c_0_3560,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3551,c_0_2802]) ).

cnf(c_0_3561,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3552,c_0_72]) ).

cnf(c_0_3562,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3553,c_0_1143]) ).

cnf(c_0_3563,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3554,c_0_1143]) ).

cnf(c_0_3564,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3555,c_0_1372]) ).

cnf(c_0_3565,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3556,c_0_1607]) ).

cnf(c_0_3566,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3557,c_0_1846]) ).

cnf(c_0_3567,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3558,c_0_2087]) ).

cnf(c_0_3568,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3559,c_0_2328]) ).

cnf(c_0_3569,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3560,c_0_2567]) ).

cnf(c_0_3570,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3561,c_0_49]) ).

cnf(c_0_3571,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3562,c_0_922]) ).

cnf(c_0_3572,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3563,c_0_922]) ).

cnf(c_0_3573,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3564,c_0_1143]) ).

cnf(c_0_3574,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3565,c_0_1372]) ).

cnf(c_0_3575,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3566,c_0_1607]) ).

cnf(c_0_3576,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3567,c_0_1846]) ).

cnf(c_0_3577,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3568,c_0_2087]) ).

cnf(c_0_3578,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3569,c_0_2328]) ).

cnf(c_0_3579,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3570,c_0_39]) ).

cnf(c_0_3580,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3571,c_0_711]) ).

cnf(c_0_3581,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3572,c_0_711]) ).

cnf(c_0_3582,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3573,c_0_922]) ).

cnf(c_0_3583,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3574,c_0_1143]) ).

cnf(c_0_3584,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3575,c_0_1372]) ).

cnf(c_0_3585,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3576,c_0_1607]) ).

cnf(c_0_3586,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3577,c_0_1846]) ).

cnf(c_0_3587,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3578,c_0_2087]) ).

cnf(c_0_3588,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3579,c_0_35]) ).

cnf(c_0_3589,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3580,c_0_512]) ).

cnf(c_0_3590,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3581,c_0_512]) ).

cnf(c_0_3591,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3582,c_0_711]) ).

cnf(c_0_3592,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3583,c_0_922]) ).

cnf(c_0_3593,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3584,c_0_1143]) ).

cnf(c_0_3594,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3585,c_0_1372]) ).

cnf(c_0_3595,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3586,c_0_1607]) ).

cnf(c_0_3596,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3587,c_0_1846]) ).

cnf(c_0_3597,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3588,c_0_33]) ).

cnf(c_0_3598,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3589,c_0_334]) ).

cnf(c_0_3599,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3590,c_0_334]) ).

cnf(c_0_3600,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3591,c_0_512]) ).

cnf(c_0_3601,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3592,c_0_711]) ).

cnf(c_0_3602,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3593,c_0_922]) ).

cnf(c_0_3603,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3594,c_0_1143]) ).

cnf(c_0_3604,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3595,c_0_1372]) ).

cnf(c_0_3605,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3596,c_0_1607]) ).

cnf(c_0_3606,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3597,c_0_3252]) ).

cnf(c_0_3607,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3598,c_0_200]) ).

cnf(c_0_3608,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3599,c_0_200]) ).

cnf(c_0_3609,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3600,c_0_334]) ).

cnf(c_0_3610,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3601,c_0_512]) ).

cnf(c_0_3611,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3602,c_0_711]) ).

cnf(c_0_3612,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3603,c_0_922]) ).

cnf(c_0_3613,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3604,c_0_1143]) ).

cnf(c_0_3614,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3605,c_0_1372]) ).

cnf(c_0_3615,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3606,c_0_3031]) ).

cnf(c_0_3616,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3607,c_0_118]) ).

cnf(c_0_3617,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3608,c_0_118]) ).

cnf(c_0_3618,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3609,c_0_200]) ).

cnf(c_0_3619,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3610,c_0_334]) ).

cnf(c_0_3620,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3611,c_0_512]) ).

cnf(c_0_3621,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3612,c_0_711]) ).

cnf(c_0_3622,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3613,c_0_922]) ).

cnf(c_0_3623,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3614,c_0_1143]) ).

cnf(c_0_3624,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3615,c_0_2802]) ).

cnf(c_0_3625,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3616,c_0_72]) ).

cnf(c_0_3626,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3617,c_0_72]) ).

cnf(c_0_3627,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3618,c_0_118]) ).

cnf(c_0_3628,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3619,c_0_200]) ).

cnf(c_0_3629,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3620,c_0_334]) ).

cnf(c_0_3630,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3621,c_0_512]) ).

cnf(c_0_3631,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3622,c_0_711]) ).

cnf(c_0_3632,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3623,c_0_922]) ).

cnf(c_0_3633,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3624,c_0_2567]) ).

cnf(c_0_3634,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_3625,c_0_49]) ).

cnf(c_0_3635,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3626,c_0_49]) ).

cnf(c_0_3636,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3627,c_0_72]) ).

cnf(c_0_3637,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3628,c_0_118]) ).

cnf(c_0_3638,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3629,c_0_200]) ).

cnf(c_0_3639,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3630,c_0_334]) ).

cnf(c_0_3640,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3631,c_0_512]) ).

cnf(c_0_3641,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3632,c_0_711]) ).

cnf(c_0_3642,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3633,c_0_2328]) ).

cnf(c_0_3643,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_3634,c_0_39]) ).

cnf(c_0_3644,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3635,c_0_39]) ).

cnf(c_0_3645,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3636,c_0_49]) ).

cnf(c_0_3646,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3637,c_0_72]) ).

cnf(c_0_3647,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3638,c_0_118]) ).

cnf(c_0_3648,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3639,c_0_200]) ).

cnf(c_0_3649,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3640,c_0_334]) ).

cnf(c_0_3650,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3641,c_0_512]) ).

cnf(c_0_3651,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3642,c_0_2087]) ).

cnf(c_0_3652,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_3643,c_0_35]) ).

cnf(c_0_3653,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3644,c_0_35]) ).

cnf(c_0_3654,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3645,c_0_39]) ).

cnf(c_0_3655,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3646,c_0_49]) ).

cnf(c_0_3656,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3647,c_0_72]) ).

cnf(c_0_3657,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3648,c_0_118]) ).

cnf(c_0_3658,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3649,c_0_200]) ).

cnf(c_0_3659,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3650,c_0_334]) ).

cnf(c_0_3660,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3651,c_0_1846]) ).

cnf(c_0_3661,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3652,c_0_33]) ).

cnf(c_0_3662,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3653,c_0_33]) ).

cnf(c_0_3663,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3654,c_0_35]) ).

cnf(c_0_3664,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3655,c_0_39]) ).

cnf(c_0_3665,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3656,c_0_49]) ).

cnf(c_0_3666,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3657,c_0_72]) ).

cnf(c_0_3667,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3658,c_0_118]) ).

cnf(c_0_3668,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3659,c_0_200]) ).

cnf(c_0_3669,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3660,c_0_1607]) ).

cnf(c_0_3670,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3661,c_0_3662]) ).

cnf(c_0_3671,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3663,c_0_33]) ).

cnf(c_0_3672,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3664,c_0_35]) ).

cnf(c_0_3673,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3665,c_0_39]) ).

cnf(c_0_3674,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3666,c_0_49]) ).

cnf(c_0_3675,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3667,c_0_72]) ).

cnf(c_0_3676,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3668,c_0_118]) ).

cnf(c_0_3677,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3669,c_0_1372]) ).

cnf(c_0_3678,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3670,c_0_3463]) ).

cnf(c_0_3679,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3671,c_0_3463]) ).

cnf(c_0_3680,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3672,c_0_33]) ).

cnf(c_0_3681,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3673,c_0_35]) ).

cnf(c_0_3682,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3674,c_0_39]) ).

cnf(c_0_3683,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3675,c_0_49]) ).

cnf(c_0_3684,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3676,c_0_72]) ).

cnf(c_0_3685,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3677,c_0_1143]) ).

cnf(c_0_3686,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3678,c_0_3252]) ).

cnf(c_0_3687,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3679,c_0_3252]) ).

cnf(c_0_3688,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3680,c_0_3463]) ).

cnf(c_0_3689,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3681,c_0_33]) ).

cnf(c_0_3690,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3682,c_0_35]) ).

cnf(c_0_3691,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3683,c_0_39]) ).

cnf(c_0_3692,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3684,c_0_49]) ).

cnf(c_0_3693,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3685,c_0_922]) ).

cnf(c_0_3694,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3686,c_0_3031]) ).

cnf(c_0_3695,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3687,c_0_3031]) ).

cnf(c_0_3696,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3688,c_0_3252]) ).

cnf(c_0_3697,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3689,c_0_3463]) ).

cnf(c_0_3698,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3690,c_0_33]) ).

cnf(c_0_3699,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3691,c_0_35]) ).

cnf(c_0_3700,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3692,c_0_39]) ).

cnf(c_0_3701,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3693,c_0_711]) ).

cnf(c_0_3702,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3694,c_0_2802]) ).

cnf(c_0_3703,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3695,c_0_2802]) ).

cnf(c_0_3704,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3696,c_0_3031]) ).

cnf(c_0_3705,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3697,c_0_3252]) ).

cnf(c_0_3706,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3698,c_0_3463]) ).

cnf(c_0_3707,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3699,c_0_33]) ).

cnf(c_0_3708,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3700,c_0_35]) ).

cnf(c_0_3709,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3701,c_0_512]) ).

cnf(c_0_3710,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3702,c_0_2567]) ).

cnf(c_0_3711,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3703,c_0_2567]) ).

cnf(c_0_3712,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3704,c_0_2802]) ).

cnf(c_0_3713,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3705,c_0_3031]) ).

cnf(c_0_3714,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3706,c_0_3252]) ).

cnf(c_0_3715,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3707,c_0_3463]) ).

cnf(c_0_3716,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3708,c_0_33]) ).

cnf(c_0_3717,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3709,c_0_334]) ).

cnf(c_0_3718,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3710,c_0_2328]) ).

cnf(c_0_3719,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3711,c_0_2328]) ).

cnf(c_0_3720,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3712,c_0_2567]) ).

cnf(c_0_3721,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3713,c_0_2802]) ).

cnf(c_0_3722,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3714,c_0_3031]) ).

cnf(c_0_3723,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3715,c_0_3252]) ).

cnf(c_0_3724,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3716,c_0_3463]) ).

cnf(c_0_3725,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3717,c_0_200]) ).

cnf(c_0_3726,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3718,c_0_2087]) ).

cnf(c_0_3727,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3719,c_0_2087]) ).

cnf(c_0_3728,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3720,c_0_2328]) ).

cnf(c_0_3729,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3721,c_0_2567]) ).

cnf(c_0_3730,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3722,c_0_2802]) ).

cnf(c_0_3731,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3723,c_0_3031]) ).

cnf(c_0_3732,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3724,c_0_3252]) ).

cnf(c_0_3733,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3725,c_0_118]) ).

cnf(c_0_3734,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3726,c_0_1846]) ).

cnf(c_0_3735,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3727,c_0_1846]) ).

cnf(c_0_3736,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3728,c_0_2087]) ).

cnf(c_0_3737,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3729,c_0_2328]) ).

cnf(c_0_3738,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3730,c_0_2567]) ).

cnf(c_0_3739,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3731,c_0_2802]) ).

cnf(c_0_3740,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3732,c_0_3031]) ).

cnf(c_0_3741,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3733,c_0_72]) ).

cnf(c_0_3742,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3734,c_0_1607]) ).

cnf(c_0_3743,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3735,c_0_1607]) ).

cnf(c_0_3744,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3736,c_0_1846]) ).

cnf(c_0_3745,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3737,c_0_2087]) ).

cnf(c_0_3746,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3738,c_0_2328]) ).

cnf(c_0_3747,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3739,c_0_2567]) ).

cnf(c_0_3748,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3740,c_0_2802]) ).

cnf(c_0_3749,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3741,c_0_49]) ).

cnf(c_0_3750,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3742,c_0_1372]) ).

cnf(c_0_3751,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3743,c_0_1372]) ).

cnf(c_0_3752,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3744,c_0_1607]) ).

cnf(c_0_3753,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3745,c_0_1846]) ).

cnf(c_0_3754,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3746,c_0_2087]) ).

cnf(c_0_3755,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3747,c_0_2328]) ).

cnf(c_0_3756,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3748,c_0_2567]) ).

cnf(c_0_3757,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3749,c_0_39]) ).

cnf(c_0_3758,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3750,c_0_1143]) ).

cnf(c_0_3759,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3751,c_0_1143]) ).

cnf(c_0_3760,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3752,c_0_1372]) ).

cnf(c_0_3761,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3753,c_0_1607]) ).

cnf(c_0_3762,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3754,c_0_1846]) ).

cnf(c_0_3763,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3755,c_0_2087]) ).

cnf(c_0_3764,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3756,c_0_2328]) ).

cnf(c_0_3765,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3757,c_0_35]) ).

cnf(c_0_3766,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3758,c_0_922]) ).

cnf(c_0_3767,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3759,c_0_922]) ).

cnf(c_0_3768,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3760,c_0_1143]) ).

cnf(c_0_3769,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3761,c_0_1372]) ).

cnf(c_0_3770,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3762,c_0_1607]) ).

cnf(c_0_3771,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3763,c_0_1846]) ).

cnf(c_0_3772,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3764,c_0_2087]) ).

cnf(c_0_3773,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3765,c_0_33]) ).

cnf(c_0_3774,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3766,c_0_711]) ).

cnf(c_0_3775,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3767,c_0_711]) ).

cnf(c_0_3776,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3768,c_0_922]) ).

cnf(c_0_3777,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3769,c_0_1143]) ).

cnf(c_0_3778,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3770,c_0_1372]) ).

cnf(c_0_3779,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3771,c_0_1607]) ).

cnf(c_0_3780,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3772,c_0_1846]) ).

cnf(c_0_3781,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3773,c_0_3463]) ).

cnf(c_0_3782,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3774,c_0_512]) ).

cnf(c_0_3783,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3775,c_0_512]) ).

cnf(c_0_3784,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3776,c_0_711]) ).

cnf(c_0_3785,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3777,c_0_922]) ).

cnf(c_0_3786,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3778,c_0_1143]) ).

cnf(c_0_3787,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3779,c_0_1372]) ).

cnf(c_0_3788,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3780,c_0_1607]) ).

cnf(c_0_3789,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3781,c_0_3252]) ).

cnf(c_0_3790,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3782,c_0_334]) ).

cnf(c_0_3791,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3783,c_0_334]) ).

cnf(c_0_3792,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3784,c_0_512]) ).

cnf(c_0_3793,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3785,c_0_711]) ).

cnf(c_0_3794,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3786,c_0_922]) ).

cnf(c_0_3795,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3787,c_0_1143]) ).

cnf(c_0_3796,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3788,c_0_1372]) ).

cnf(c_0_3797,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3789,c_0_3031]) ).

cnf(c_0_3798,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3790,c_0_200]) ).

cnf(c_0_3799,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3791,c_0_200]) ).

cnf(c_0_3800,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3792,c_0_334]) ).

cnf(c_0_3801,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3793,c_0_512]) ).

cnf(c_0_3802,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3794,c_0_711]) ).

cnf(c_0_3803,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3795,c_0_922]) ).

cnf(c_0_3804,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3796,c_0_1143]) ).

cnf(c_0_3805,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3797,c_0_2802]) ).

cnf(c_0_3806,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3798,c_0_118]) ).

cnf(c_0_3807,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3799,c_0_118]) ).

cnf(c_0_3808,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3800,c_0_200]) ).

cnf(c_0_3809,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3801,c_0_334]) ).

cnf(c_0_3810,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3802,c_0_512]) ).

cnf(c_0_3811,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3803,c_0_711]) ).

cnf(c_0_3812,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3804,c_0_922]) ).

cnf(c_0_3813,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3805,c_0_2567]) ).

cnf(c_0_3814,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3806,c_0_72]) ).

cnf(c_0_3815,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3807,c_0_72]) ).

cnf(c_0_3816,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3808,c_0_118]) ).

cnf(c_0_3817,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3809,c_0_200]) ).

cnf(c_0_3818,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3810,c_0_334]) ).

cnf(c_0_3819,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3811,c_0_512]) ).

cnf(c_0_3820,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3812,c_0_711]) ).

cnf(c_0_3821,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3813,c_0_2328]) ).

cnf(c_0_3822,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_3814,c_0_49]) ).

cnf(c_0_3823,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3815,c_0_49]) ).

cnf(c_0_3824,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3816,c_0_72]) ).

cnf(c_0_3825,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3817,c_0_118]) ).

cnf(c_0_3826,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3818,c_0_200]) ).

cnf(c_0_3827,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3819,c_0_334]) ).

cnf(c_0_3828,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3820,c_0_512]) ).

cnf(c_0_3829,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3821,c_0_2087]) ).

cnf(c_0_3830,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_3822,c_0_39]) ).

cnf(c_0_3831,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3823,c_0_39]) ).

cnf(c_0_3832,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3824,c_0_49]) ).

cnf(c_0_3833,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3825,c_0_72]) ).

cnf(c_0_3834,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3826,c_0_118]) ).

cnf(c_0_3835,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3827,c_0_200]) ).

cnf(c_0_3836,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3828,c_0_334]) ).

cnf(c_0_3837,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3829,c_0_1846]) ).

cnf(c_0_3838,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_3830,c_0_35]) ).

cnf(c_0_3839,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3831,c_0_35]) ).

cnf(c_0_3840,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3832,c_0_39]) ).

cnf(c_0_3841,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3833,c_0_49]) ).

cnf(c_0_3842,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3834,c_0_72]) ).

cnf(c_0_3843,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3835,c_0_118]) ).

cnf(c_0_3844,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3836,c_0_200]) ).

cnf(c_0_3845,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3837,c_0_1607]) ).

cnf(c_0_3846,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3838,c_0_33]) ).

cnf(c_0_3847,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3839,c_0_33]) ).

cnf(c_0_3848,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3840,c_0_35]) ).

cnf(c_0_3849,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3841,c_0_39]) ).

cnf(c_0_3850,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3842,c_0_49]) ).

cnf(c_0_3851,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3843,c_0_72]) ).

cnf(c_0_3852,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3844,c_0_118]) ).

cnf(c_0_3853,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3845,c_0_1372]) ).

cnf(c_0_3854,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3846,c_0_3847]) ).

cnf(c_0_3855,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3848,c_0_33]) ).

cnf(c_0_3856,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3849,c_0_35]) ).

cnf(c_0_3857,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3850,c_0_39]) ).

cnf(c_0_3858,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3851,c_0_49]) ).

cnf(c_0_3859,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3852,c_0_72]) ).

cnf(c_0_3860,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3853,c_0_1143]) ).

cnf(c_0_3861,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3854,c_0_3662]) ).

cnf(c_0_3862,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3855,c_0_3662]) ).

cnf(c_0_3863,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3856,c_0_33]) ).

cnf(c_0_3864,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3857,c_0_35]) ).

cnf(c_0_3865,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3858,c_0_39]) ).

cnf(c_0_3866,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3859,c_0_49]) ).

cnf(c_0_3867,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3860,c_0_922]) ).

cnf(c_0_3868,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3861,c_0_3463]) ).

cnf(c_0_3869,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3862,c_0_3463]) ).

cnf(c_0_3870,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3863,c_0_3662]) ).

cnf(c_0_3871,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3864,c_0_33]) ).

cnf(c_0_3872,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3865,c_0_35]) ).

cnf(c_0_3873,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3866,c_0_39]) ).

cnf(c_0_3874,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3867,c_0_711]) ).

cnf(c_0_3875,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3868,c_0_3252]) ).

cnf(c_0_3876,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3869,c_0_3252]) ).

cnf(c_0_3877,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3870,c_0_3463]) ).

cnf(c_0_3878,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3871,c_0_3662]) ).

cnf(c_0_3879,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3872,c_0_33]) ).

cnf(c_0_3880,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3873,c_0_35]) ).

cnf(c_0_3881,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3874,c_0_512]) ).

cnf(c_0_3882,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3875,c_0_3031]) ).

cnf(c_0_3883,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3876,c_0_3031]) ).

cnf(c_0_3884,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3877,c_0_3252]) ).

cnf(c_0_3885,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3878,c_0_3463]) ).

cnf(c_0_3886,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3879,c_0_3662]) ).

cnf(c_0_3887,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3880,c_0_33]) ).

cnf(c_0_3888,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3881,c_0_334]) ).

cnf(c_0_3889,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3882,c_0_2802]) ).

cnf(c_0_3890,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3883,c_0_2802]) ).

cnf(c_0_3891,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3884,c_0_3031]) ).

cnf(c_0_3892,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3885,c_0_3252]) ).

cnf(c_0_3893,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3886,c_0_3463]) ).

cnf(c_0_3894,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3887,c_0_3662]) ).

cnf(c_0_3895,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3888,c_0_200]) ).

cnf(c_0_3896,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3889,c_0_2567]) ).

cnf(c_0_3897,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3890,c_0_2567]) ).

cnf(c_0_3898,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3891,c_0_2802]) ).

cnf(c_0_3899,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3892,c_0_3031]) ).

cnf(c_0_3900,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3893,c_0_3252]) ).

cnf(c_0_3901,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3894,c_0_3463]) ).

cnf(c_0_3902,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3895,c_0_118]) ).

cnf(c_0_3903,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3896,c_0_2328]) ).

cnf(c_0_3904,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3897,c_0_2328]) ).

cnf(c_0_3905,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3898,c_0_2567]) ).

cnf(c_0_3906,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3899,c_0_2802]) ).

cnf(c_0_3907,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3900,c_0_3031]) ).

cnf(c_0_3908,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3901,c_0_3252]) ).

cnf(c_0_3909,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3902,c_0_72]) ).

cnf(c_0_3910,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3903,c_0_2087]) ).

cnf(c_0_3911,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3904,c_0_2087]) ).

cnf(c_0_3912,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3905,c_0_2328]) ).

cnf(c_0_3913,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3906,c_0_2567]) ).

cnf(c_0_3914,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3907,c_0_2802]) ).

cnf(c_0_3915,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3908,c_0_3031]) ).

cnf(c_0_3916,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3909,c_0_49]) ).

cnf(c_0_3917,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3910,c_0_1846]) ).

cnf(c_0_3918,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3911,c_0_1846]) ).

cnf(c_0_3919,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3912,c_0_2087]) ).

cnf(c_0_3920,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3913,c_0_2328]) ).

cnf(c_0_3921,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3914,c_0_2567]) ).

cnf(c_0_3922,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3915,c_0_2802]) ).

cnf(c_0_3923,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3916,c_0_39]) ).

cnf(c_0_3924,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3917,c_0_1607]) ).

cnf(c_0_3925,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3918,c_0_1607]) ).

cnf(c_0_3926,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3919,c_0_1846]) ).

cnf(c_0_3927,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3920,c_0_2087]) ).

cnf(c_0_3928,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3921,c_0_2328]) ).

cnf(c_0_3929,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3922,c_0_2567]) ).

cnf(c_0_3930,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_3923,c_0_35]) ).

cnf(c_0_3931,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3924,c_0_1372]) ).

cnf(c_0_3932,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3925,c_0_1372]) ).

cnf(c_0_3933,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3926,c_0_1607]) ).

cnf(c_0_3934,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3927,c_0_1846]) ).

cnf(c_0_3935,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3928,c_0_2087]) ).

cnf(c_0_3936,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3929,c_0_2328]) ).

cnf(c_0_3937,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3930,c_0_33]) ).

cnf(c_0_3938,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3931,c_0_1143]) ).

cnf(c_0_3939,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3932,c_0_1143]) ).

cnf(c_0_3940,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3933,c_0_1372]) ).

cnf(c_0_3941,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3934,c_0_1607]) ).

cnf(c_0_3942,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3935,c_0_1846]) ).

cnf(c_0_3943,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3936,c_0_2087]) ).

cnf(c_0_3944,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3937,c_0_3662]) ).

cnf(c_0_3945,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3938,c_0_922]) ).

cnf(c_0_3946,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3939,c_0_922]) ).

cnf(c_0_3947,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3940,c_0_1143]) ).

cnf(c_0_3948,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3941,c_0_1372]) ).

cnf(c_0_3949,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3942,c_0_1607]) ).

cnf(c_0_3950,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3943,c_0_1846]) ).

cnf(c_0_3951,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3944,c_0_3463]) ).

cnf(c_0_3952,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3945,c_0_711]) ).

cnf(c_0_3953,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3946,c_0_711]) ).

cnf(c_0_3954,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3947,c_0_922]) ).

cnf(c_0_3955,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3948,c_0_1143]) ).

cnf(c_0_3956,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3949,c_0_1372]) ).

cnf(c_0_3957,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3950,c_0_1607]) ).

cnf(c_0_3958,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3951,c_0_3252]) ).

cnf(c_0_3959,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3952,c_0_512]) ).

cnf(c_0_3960,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3953,c_0_512]) ).

cnf(c_0_3961,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3954,c_0_711]) ).

cnf(c_0_3962,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3955,c_0_922]) ).

cnf(c_0_3963,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3956,c_0_1143]) ).

cnf(c_0_3964,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3957,c_0_1372]) ).

cnf(c_0_3965,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3958,c_0_3031]) ).

cnf(c_0_3966,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3959,c_0_334]) ).

cnf(c_0_3967,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3960,c_0_334]) ).

cnf(c_0_3968,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3961,c_0_512]) ).

cnf(c_0_3969,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3962,c_0_711]) ).

cnf(c_0_3970,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3963,c_0_922]) ).

cnf(c_0_3971,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3964,c_0_1143]) ).

cnf(c_0_3972,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3965,c_0_2802]) ).

cnf(c_0_3973,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3966,c_0_200]) ).

cnf(c_0_3974,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3967,c_0_200]) ).

cnf(c_0_3975,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3968,c_0_334]) ).

cnf(c_0_3976,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3969,c_0_512]) ).

cnf(c_0_3977,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3970,c_0_711]) ).

cnf(c_0_3978,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3971,c_0_922]) ).

cnf(c_0_3979,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3972,c_0_2567]) ).

cnf(c_0_3980,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3973,c_0_118]) ).

cnf(c_0_3981,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3974,c_0_118]) ).

cnf(c_0_3982,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3975,c_0_200]) ).

cnf(c_0_3983,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3976,c_0_334]) ).

cnf(c_0_3984,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3977,c_0_512]) ).

cnf(c_0_3985,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3978,c_0_711]) ).

cnf(c_0_3986,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3979,c_0_2328]) ).

cnf(c_0_3987,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_3980,c_0_72]) ).

cnf(c_0_3988,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3981,c_0_72]) ).

cnf(c_0_3989,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3982,c_0_118]) ).

cnf(c_0_3990,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3983,c_0_200]) ).

cnf(c_0_3991,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3984,c_0_334]) ).

cnf(c_0_3992,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3985,c_0_512]) ).

cnf(c_0_3993,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3986,c_0_2087]) ).

cnf(c_0_3994,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_3987,c_0_49]) ).

cnf(c_0_3995,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3988,c_0_49]) ).

cnf(c_0_3996,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3989,c_0_72]) ).

cnf(c_0_3997,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3990,c_0_118]) ).

cnf(c_0_3998,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3991,c_0_200]) ).

cnf(c_0_3999,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3992,c_0_334]) ).

cnf(c_0_4000,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3993,c_0_1846]) ).

cnf(c_0_4001,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_3994,c_0_39]) ).

cnf(c_0_4002,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_3995,c_0_39]) ).

cnf(c_0_4003,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3996,c_0_49]) ).

cnf(c_0_4004,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3997,c_0_72]) ).

cnf(c_0_4005,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3998,c_0_118]) ).

cnf(c_0_4006,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_3999,c_0_200]) ).

cnf(c_0_4007,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4000,c_0_1607]) ).

cnf(c_0_4008,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_4001,c_0_35]) ).

cnf(c_0_4009,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4002,c_0_35]) ).

cnf(c_0_4010,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4003,c_0_39]) ).

cnf(c_0_4011,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4004,c_0_49]) ).

cnf(c_0_4012,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4005,c_0_72]) ).

cnf(c_0_4013,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4006,c_0_118]) ).

cnf(c_0_4014,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4007,c_0_1372]) ).

cnf(c_0_4015,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4008,c_0_33]) ).

cnf(c_0_4016,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4009,c_0_33]) ).

cnf(c_0_4017,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4010,c_0_35]) ).

cnf(c_0_4018,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4011,c_0_39]) ).

cnf(c_0_4019,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4012,c_0_49]) ).

cnf(c_0_4020,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4013,c_0_72]) ).

cnf(c_0_4021,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4014,c_0_1143]) ).

cnf(c_0_4022,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4015,c_0_4016]) ).

cnf(c_0_4023,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4017,c_0_33]) ).

cnf(c_0_4024,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4018,c_0_35]) ).

cnf(c_0_4025,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4019,c_0_39]) ).

cnf(c_0_4026,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4020,c_0_49]) ).

cnf(c_0_4027,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4021,c_0_922]) ).

cnf(c_0_4028,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4022,c_0_3847]) ).

cnf(c_0_4029,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4023,c_0_3847]) ).

cnf(c_0_4030,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4024,c_0_33]) ).

cnf(c_0_4031,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4025,c_0_35]) ).

cnf(c_0_4032,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4026,c_0_39]) ).

cnf(c_0_4033,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4027,c_0_711]) ).

cnf(c_0_4034,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4028,c_0_3662]) ).

cnf(c_0_4035,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4029,c_0_3662]) ).

cnf(c_0_4036,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4030,c_0_3847]) ).

cnf(c_0_4037,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4031,c_0_33]) ).

cnf(c_0_4038,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4032,c_0_35]) ).

cnf(c_0_4039,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4033,c_0_512]) ).

cnf(c_0_4040,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4034,c_0_3463]) ).

cnf(c_0_4041,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4035,c_0_3463]) ).

cnf(c_0_4042,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4036,c_0_3662]) ).

cnf(c_0_4043,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4037,c_0_3847]) ).

cnf(c_0_4044,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4038,c_0_33]) ).

cnf(c_0_4045,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4039,c_0_334]) ).

cnf(c_0_4046,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4040,c_0_3252]) ).

cnf(c_0_4047,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4041,c_0_3252]) ).

cnf(c_0_4048,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4042,c_0_3463]) ).

cnf(c_0_4049,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4043,c_0_3662]) ).

cnf(c_0_4050,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4044,c_0_3847]) ).

cnf(c_0_4051,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4045,c_0_200]) ).

cnf(c_0_4052,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4046,c_0_3031]) ).

cnf(c_0_4053,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4047,c_0_3031]) ).

cnf(c_0_4054,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4048,c_0_3252]) ).

cnf(c_0_4055,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4049,c_0_3463]) ).

cnf(c_0_4056,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4050,c_0_3662]) ).

cnf(c_0_4057,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4051,c_0_118]) ).

cnf(c_0_4058,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4052,c_0_2802]) ).

cnf(c_0_4059,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4053,c_0_2802]) ).

cnf(c_0_4060,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4054,c_0_3031]) ).

cnf(c_0_4061,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4055,c_0_3252]) ).

cnf(c_0_4062,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4056,c_0_3463]) ).

cnf(c_0_4063,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4057,c_0_72]) ).

cnf(c_0_4064,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4058,c_0_2567]) ).

cnf(c_0_4065,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4059,c_0_2567]) ).

cnf(c_0_4066,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4060,c_0_2802]) ).

cnf(c_0_4067,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4061,c_0_3031]) ).

cnf(c_0_4068,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4062,c_0_3252]) ).

cnf(c_0_4069,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4063,c_0_49]) ).

cnf(c_0_4070,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4064,c_0_2328]) ).

cnf(c_0_4071,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4065,c_0_2328]) ).

cnf(c_0_4072,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4066,c_0_2567]) ).

cnf(c_0_4073,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4067,c_0_2802]) ).

cnf(c_0_4074,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4068,c_0_3031]) ).

cnf(c_0_4075,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4069,c_0_39]) ).

cnf(c_0_4076,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4070,c_0_2087]) ).

cnf(c_0_4077,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4071,c_0_2087]) ).

cnf(c_0_4078,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4072,c_0_2328]) ).

cnf(c_0_4079,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4073,c_0_2567]) ).

cnf(c_0_4080,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4074,c_0_2802]) ).

cnf(c_0_4081,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4075,c_0_35]) ).

cnf(c_0_4082,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4076,c_0_1846]) ).

cnf(c_0_4083,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4077,c_0_1846]) ).

cnf(c_0_4084,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4078,c_0_2087]) ).

cnf(c_0_4085,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4079,c_0_2328]) ).

cnf(c_0_4086,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4080,c_0_2567]) ).

cnf(c_0_4087,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4081,c_0_33]) ).

cnf(c_0_4088,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4082,c_0_1607]) ).

cnf(c_0_4089,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4083,c_0_1607]) ).

cnf(c_0_4090,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4084,c_0_1846]) ).

cnf(c_0_4091,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4085,c_0_2087]) ).

cnf(c_0_4092,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4086,c_0_2328]) ).

cnf(c_0_4093,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4087,c_0_3847]) ).

cnf(c_0_4094,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4088,c_0_1372]) ).

cnf(c_0_4095,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4089,c_0_1372]) ).

cnf(c_0_4096,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4090,c_0_1607]) ).

cnf(c_0_4097,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4091,c_0_1846]) ).

cnf(c_0_4098,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4092,c_0_2087]) ).

cnf(c_0_4099,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4093,c_0_3662]) ).

cnf(c_0_4100,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4094,c_0_1143]) ).

cnf(c_0_4101,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4095,c_0_1143]) ).

cnf(c_0_4102,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4096,c_0_1372]) ).

cnf(c_0_4103,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4097,c_0_1607]) ).

cnf(c_0_4104,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4098,c_0_1846]) ).

cnf(c_0_4105,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4099,c_0_3463]) ).

cnf(c_0_4106,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4100,c_0_922]) ).

cnf(c_0_4107,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4101,c_0_922]) ).

cnf(c_0_4108,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4102,c_0_1143]) ).

cnf(c_0_4109,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4103,c_0_1372]) ).

cnf(c_0_4110,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4104,c_0_1607]) ).

cnf(c_0_4111,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4105,c_0_3252]) ).

cnf(c_0_4112,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4106,c_0_711]) ).

cnf(c_0_4113,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4107,c_0_711]) ).

cnf(c_0_4114,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4108,c_0_922]) ).

cnf(c_0_4115,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4109,c_0_1143]) ).

cnf(c_0_4116,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4110,c_0_1372]) ).

cnf(c_0_4117,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4111,c_0_3031]) ).

cnf(c_0_4118,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4112,c_0_512]) ).

cnf(c_0_4119,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4113,c_0_512]) ).

cnf(c_0_4120,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4114,c_0_711]) ).

cnf(c_0_4121,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4115,c_0_922]) ).

cnf(c_0_4122,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4116,c_0_1143]) ).

cnf(c_0_4123,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4117,c_0_2802]) ).

cnf(c_0_4124,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4118,c_0_334]) ).

cnf(c_0_4125,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4119,c_0_334]) ).

cnf(c_0_4126,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4120,c_0_512]) ).

cnf(c_0_4127,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4121,c_0_711]) ).

cnf(c_0_4128,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4122,c_0_922]) ).

cnf(c_0_4129,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4123,c_0_2567]) ).

cnf(c_0_4130,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4124,c_0_200]) ).

cnf(c_0_4131,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4125,c_0_200]) ).

cnf(c_0_4132,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4126,c_0_334]) ).

cnf(c_0_4133,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4127,c_0_512]) ).

cnf(c_0_4134,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4128,c_0_711]) ).

cnf(c_0_4135,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4129,c_0_2328]) ).

cnf(c_0_4136,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4130,c_0_118]) ).

cnf(c_0_4137,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4131,c_0_118]) ).

cnf(c_0_4138,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4132,c_0_200]) ).

cnf(c_0_4139,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4133,c_0_334]) ).

cnf(c_0_4140,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4134,c_0_512]) ).

cnf(c_0_4141,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4135,c_0_2087]) ).

cnf(c_0_4142,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4136,c_0_72]) ).

cnf(c_0_4143,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4137,c_0_72]) ).

cnf(c_0_4144,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4138,c_0_118]) ).

cnf(c_0_4145,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4139,c_0_200]) ).

cnf(c_0_4146,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4140,c_0_334]) ).

cnf(c_0_4147,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4141,c_0_1846]) ).

cnf(c_0_4148,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_4142,c_0_49]) ).

cnf(c_0_4149,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4143,c_0_49]) ).

cnf(c_0_4150,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4144,c_0_72]) ).

cnf(c_0_4151,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4145,c_0_118]) ).

cnf(c_0_4152,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4146,c_0_200]) ).

cnf(c_0_4153,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4147,c_0_1607]) ).

cnf(c_0_4154,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_4148,c_0_39]) ).

cnf(c_0_4155,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4149,c_0_39]) ).

cnf(c_0_4156,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4150,c_0_49]) ).

cnf(c_0_4157,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4151,c_0_72]) ).

cnf(c_0_4158,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4152,c_0_118]) ).

cnf(c_0_4159,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4153,c_0_1372]) ).

cnf(c_0_4160,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_4154,c_0_35]) ).

cnf(c_0_4161,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4155,c_0_35]) ).

cnf(c_0_4162,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4156,c_0_39]) ).

cnf(c_0_4163,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4157,c_0_49]) ).

cnf(c_0_4164,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4158,c_0_72]) ).

cnf(c_0_4165,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4159,c_0_1143]) ).

cnf(c_0_4166,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4160,c_0_33]) ).

cnf(c_0_4167,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4161,c_0_33]) ).

cnf(c_0_4168,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4162,c_0_35]) ).

cnf(c_0_4169,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4163,c_0_39]) ).

cnf(c_0_4170,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4164,c_0_49]) ).

cnf(c_0_4171,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4165,c_0_922]) ).

cnf(c_0_4172,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4166,c_0_4167]) ).

cnf(c_0_4173,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4168,c_0_33]) ).

cnf(c_0_4174,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4169,c_0_35]) ).

cnf(c_0_4175,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4170,c_0_39]) ).

cnf(c_0_4176,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4171,c_0_711]) ).

cnf(c_0_4177,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4172,c_0_4016]) ).

cnf(c_0_4178,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4173,c_0_4016]) ).

cnf(c_0_4179,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4174,c_0_33]) ).

cnf(c_0_4180,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4175,c_0_35]) ).

cnf(c_0_4181,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4176,c_0_512]) ).

cnf(c_0_4182,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4177,c_0_3847]) ).

cnf(c_0_4183,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4178,c_0_3847]) ).

cnf(c_0_4184,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4179,c_0_4016]) ).

cnf(c_0_4185,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4180,c_0_33]) ).

cnf(c_0_4186,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4181,c_0_334]) ).

cnf(c_0_4187,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4182,c_0_3662]) ).

cnf(c_0_4188,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4183,c_0_3662]) ).

cnf(c_0_4189,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4184,c_0_3847]) ).

cnf(c_0_4190,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4185,c_0_4016]) ).

cnf(c_0_4191,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4186,c_0_200]) ).

cnf(c_0_4192,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4187,c_0_3463]) ).

cnf(c_0_4193,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4188,c_0_3463]) ).

cnf(c_0_4194,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4189,c_0_3662]) ).

cnf(c_0_4195,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4190,c_0_3847]) ).

cnf(c_0_4196,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4191,c_0_118]) ).

cnf(c_0_4197,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4192,c_0_3252]) ).

cnf(c_0_4198,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4193,c_0_3252]) ).

cnf(c_0_4199,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4194,c_0_3463]) ).

cnf(c_0_4200,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4195,c_0_3662]) ).

cnf(c_0_4201,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4196,c_0_72]) ).

cnf(c_0_4202,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4197,c_0_3031]) ).

cnf(c_0_4203,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4198,c_0_3031]) ).

cnf(c_0_4204,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4199,c_0_3252]) ).

cnf(c_0_4205,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4200,c_0_3463]) ).

cnf(c_0_4206,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4201,c_0_49]) ).

cnf(c_0_4207,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4202,c_0_2802]) ).

cnf(c_0_4208,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4203,c_0_2802]) ).

cnf(c_0_4209,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4204,c_0_3031]) ).

cnf(c_0_4210,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4205,c_0_3252]) ).

cnf(c_0_4211,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4206,c_0_39]) ).

cnf(c_0_4212,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4207,c_0_2567]) ).

cnf(c_0_4213,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4208,c_0_2567]) ).

cnf(c_0_4214,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4209,c_0_2802]) ).

cnf(c_0_4215,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4210,c_0_3031]) ).

cnf(c_0_4216,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4211,c_0_35]) ).

cnf(c_0_4217,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4212,c_0_2328]) ).

cnf(c_0_4218,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4213,c_0_2328]) ).

cnf(c_0_4219,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4214,c_0_2567]) ).

cnf(c_0_4220,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4215,c_0_2802]) ).

cnf(c_0_4221,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4216,c_0_33]) ).

cnf(c_0_4222,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4217,c_0_2087]) ).

cnf(c_0_4223,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4218,c_0_2087]) ).

cnf(c_0_4224,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4219,c_0_2328]) ).

cnf(c_0_4225,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4220,c_0_2567]) ).

cnf(c_0_4226,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4221,c_0_4016]) ).

cnf(c_0_4227,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4222,c_0_1846]) ).

cnf(c_0_4228,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4223,c_0_1846]) ).

cnf(c_0_4229,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4224,c_0_2087]) ).

cnf(c_0_4230,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4225,c_0_2328]) ).

cnf(c_0_4231,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4226,c_0_3847]) ).

cnf(c_0_4232,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4227,c_0_1607]) ).

cnf(c_0_4233,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4228,c_0_1607]) ).

cnf(c_0_4234,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4229,c_0_1846]) ).

cnf(c_0_4235,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4230,c_0_2087]) ).

cnf(c_0_4236,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4231,c_0_3662]) ).

cnf(c_0_4237,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4232,c_0_1372]) ).

cnf(c_0_4238,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4233,c_0_1372]) ).

cnf(c_0_4239,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4234,c_0_1607]) ).

cnf(c_0_4240,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4235,c_0_1846]) ).

cnf(c_0_4241,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4236,c_0_3463]) ).

cnf(c_0_4242,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4237,c_0_1143]) ).

cnf(c_0_4243,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4238,c_0_1143]) ).

cnf(c_0_4244,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4239,c_0_1372]) ).

cnf(c_0_4245,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4240,c_0_1607]) ).

cnf(c_0_4246,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4241,c_0_3252]) ).

cnf(c_0_4247,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4242,c_0_922]) ).

cnf(c_0_4248,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4243,c_0_922]) ).

cnf(c_0_4249,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4244,c_0_1143]) ).

cnf(c_0_4250,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4245,c_0_1372]) ).

cnf(c_0_4251,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4246,c_0_3031]) ).

cnf(c_0_4252,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4247,c_0_711]) ).

cnf(c_0_4253,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4248,c_0_711]) ).

cnf(c_0_4254,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4249,c_0_922]) ).

cnf(c_0_4255,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4250,c_0_1143]) ).

cnf(c_0_4256,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4251,c_0_2802]) ).

cnf(c_0_4257,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4252,c_0_512]) ).

cnf(c_0_4258,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4253,c_0_512]) ).

cnf(c_0_4259,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4254,c_0_711]) ).

cnf(c_0_4260,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4255,c_0_922]) ).

cnf(c_0_4261,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4256,c_0_2567]) ).

cnf(c_0_4262,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4257,c_0_334]) ).

cnf(c_0_4263,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4258,c_0_334]) ).

cnf(c_0_4264,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4259,c_0_512]) ).

cnf(c_0_4265,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4260,c_0_711]) ).

cnf(c_0_4266,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4261,c_0_2328]) ).

cnf(c_0_4267,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4262,c_0_200]) ).

cnf(c_0_4268,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4263,c_0_200]) ).

cnf(c_0_4269,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4264,c_0_334]) ).

cnf(c_0_4270,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4265,c_0_512]) ).

cnf(c_0_4271,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4266,c_0_2087]) ).

cnf(c_0_4272,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4267,c_0_118]) ).

cnf(c_0_4273,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4268,c_0_118]) ).

cnf(c_0_4274,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4269,c_0_200]) ).

cnf(c_0_4275,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4270,c_0_334]) ).

cnf(c_0_4276,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4271,c_0_1846]) ).

cnf(c_0_4277,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4272,c_0_72]) ).

cnf(c_0_4278,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4273,c_0_72]) ).

cnf(c_0_4279,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4274,c_0_118]) ).

cnf(c_0_4280,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4275,c_0_200]) ).

cnf(c_0_4281,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4276,c_0_1607]) ).

cnf(c_0_4282,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_4277,c_0_49]) ).

cnf(c_0_4283,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4278,c_0_49]) ).

cnf(c_0_4284,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4279,c_0_72]) ).

cnf(c_0_4285,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4280,c_0_118]) ).

cnf(c_0_4286,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4281,c_0_1372]) ).

cnf(c_0_4287,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_4282,c_0_39]) ).

cnf(c_0_4288,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4283,c_0_39]) ).

cnf(c_0_4289,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4284,c_0_49]) ).

cnf(c_0_4290,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4285,c_0_72]) ).

cnf(c_0_4291,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4286,c_0_1143]) ).

cnf(c_0_4292,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_4287,c_0_35]) ).

cnf(c_0_4293,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4288,c_0_35]) ).

cnf(c_0_4294,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4289,c_0_39]) ).

cnf(c_0_4295,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4290,c_0_49]) ).

cnf(c_0_4296,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4291,c_0_922]) ).

cnf(c_0_4297,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4292,c_0_33]) ).

cnf(c_0_4298,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4293,c_0_33]) ).

cnf(c_0_4299,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4294,c_0_35]) ).

cnf(c_0_4300,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4295,c_0_39]) ).

cnf(c_0_4301,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4296,c_0_711]) ).

cnf(c_0_4302,negated_conjecture,
    ~ p(s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4297,c_0_4298]) ).

cnf(c_0_4303,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4299,c_0_33]) ).

cnf(c_0_4304,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4300,c_0_35]) ).

cnf(c_0_4305,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4301,c_0_512]) ).

cnf(c_0_4306,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4302,c_0_4167]) ).

cnf(c_0_4307,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4303,c_0_4167]) ).

cnf(c_0_4308,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4304,c_0_33]) ).

cnf(c_0_4309,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4305,c_0_334]) ).

cnf(c_0_4310,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4306,c_0_4016]) ).

cnf(c_0_4311,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4307,c_0_4016]) ).

cnf(c_0_4312,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4308,c_0_4167]) ).

cnf(c_0_4313,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4309,c_0_200]) ).

cnf(c_0_4314,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4310,c_0_3847]) ).

cnf(c_0_4315,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4311,c_0_3847]) ).

cnf(c_0_4316,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4312,c_0_4016]) ).

cnf(c_0_4317,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4313,c_0_118]) ).

cnf(c_0_4318,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4314,c_0_3662]) ).

cnf(c_0_4319,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4315,c_0_3662]) ).

cnf(c_0_4320,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4316,c_0_3847]) ).

cnf(c_0_4321,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4317,c_0_72]) ).

cnf(c_0_4322,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4318,c_0_3463]) ).

cnf(c_0_4323,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4319,c_0_3463]) ).

cnf(c_0_4324,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4320,c_0_3662]) ).

cnf(c_0_4325,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4321,c_0_49]) ).

cnf(c_0_4326,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4322,c_0_3252]) ).

cnf(c_0_4327,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4323,c_0_3252]) ).

cnf(c_0_4328,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4324,c_0_3463]) ).

cnf(c_0_4329,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4325,c_0_39]) ).

cnf(c_0_4330,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4326,c_0_3031]) ).

cnf(c_0_4331,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4327,c_0_3031]) ).

cnf(c_0_4332,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4328,c_0_3252]) ).

cnf(c_0_4333,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4329,c_0_35]) ).

cnf(c_0_4334,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4330,c_0_2802]) ).

cnf(c_0_4335,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4331,c_0_2802]) ).

cnf(c_0_4336,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4332,c_0_3031]) ).

cnf(c_0_4337,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4333,c_0_33]) ).

cnf(c_0_4338,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4334,c_0_2567]) ).

cnf(c_0_4339,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4335,c_0_2567]) ).

cnf(c_0_4340,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4336,c_0_2802]) ).

cnf(c_0_4341,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4337,c_0_4167]) ).

cnf(c_0_4342,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4338,c_0_2328]) ).

cnf(c_0_4343,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4339,c_0_2328]) ).

cnf(c_0_4344,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4340,c_0_2567]) ).

cnf(c_0_4345,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4341,c_0_4016]) ).

cnf(c_0_4346,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4342,c_0_2087]) ).

cnf(c_0_4347,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4343,c_0_2087]) ).

cnf(c_0_4348,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4344,c_0_2328]) ).

cnf(c_0_4349,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4345,c_0_3847]) ).

cnf(c_0_4350,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4346,c_0_1846]) ).

cnf(c_0_4351,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4347,c_0_1846]) ).

cnf(c_0_4352,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4348,c_0_2087]) ).

cnf(c_0_4353,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4349,c_0_3662]) ).

cnf(c_0_4354,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4350,c_0_1607]) ).

cnf(c_0_4355,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4351,c_0_1607]) ).

cnf(c_0_4356,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4352,c_0_1846]) ).

cnf(c_0_4357,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4353,c_0_3463]) ).

cnf(c_0_4358,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4354,c_0_1372]) ).

cnf(c_0_4359,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4355,c_0_1372]) ).

cnf(c_0_4360,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4356,c_0_1607]) ).

cnf(c_0_4361,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4357,c_0_3252]) ).

cnf(c_0_4362,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4358,c_0_1143]) ).

cnf(c_0_4363,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4359,c_0_1143]) ).

cnf(c_0_4364,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4360,c_0_1372]) ).

cnf(c_0_4365,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4361,c_0_3031]) ).

cnf(c_0_4366,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4362,c_0_922]) ).

cnf(c_0_4367,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4363,c_0_922]) ).

cnf(c_0_4368,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4364,c_0_1143]) ).

cnf(c_0_4369,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4365,c_0_2802]) ).

cnf(c_0_4370,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4366,c_0_711]) ).

cnf(c_0_4371,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4367,c_0_711]) ).

cnf(c_0_4372,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4368,c_0_922]) ).

cnf(c_0_4373,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4369,c_0_2567]) ).

cnf(c_0_4374,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4370,c_0_512]) ).

cnf(c_0_4375,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4371,c_0_512]) ).

cnf(c_0_4376,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4372,c_0_711]) ).

cnf(c_0_4377,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4373,c_0_2328]) ).

cnf(c_0_4378,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4374,c_0_334]) ).

cnf(c_0_4379,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4375,c_0_334]) ).

cnf(c_0_4380,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4376,c_0_512]) ).

cnf(c_0_4381,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4377,c_0_2087]) ).

cnf(c_0_4382,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4378,c_0_200]) ).

cnf(c_0_4383,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4379,c_0_200]) ).

cnf(c_0_4384,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4380,c_0_334]) ).

cnf(c_0_4385,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4381,c_0_1846]) ).

cnf(c_0_4386,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4382,c_0_118]) ).

cnf(c_0_4387,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4383,c_0_118]) ).

cnf(c_0_4388,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4384,c_0_200]) ).

cnf(c_0_4389,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4385,c_0_1607]) ).

cnf(c_0_4390,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4386,c_0_72]) ).

cnf(c_0_4391,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4387,c_0_72]) ).

cnf(c_0_4392,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4388,c_0_118]) ).

cnf(c_0_4393,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4389,c_0_1372]) ).

cnf(c_0_4394,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_4390,c_0_49]) ).

cnf(c_0_4395,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4391,c_0_49]) ).

cnf(c_0_4396,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4392,c_0_72]) ).

cnf(c_0_4397,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4393,c_0_1143]) ).

cnf(c_0_4398,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_4394,c_0_39]) ).

cnf(c_0_4399,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4395,c_0_39]) ).

cnf(c_0_4400,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4396,c_0_49]) ).

cnf(c_0_4401,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4397,c_0_922]) ).

cnf(c_0_4402,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_4398,c_0_35]) ).

cnf(c_0_4403,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4399,c_0_35]) ).

cnf(c_0_4404,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4400,c_0_39]) ).

cnf(c_0_4405,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4401,c_0_711]) ).

cnf(c_0_4406,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4402,c_0_33]) ).

cnf(c_0_4407,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4403,c_0_33]) ).

cnf(c_0_4408,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4404,c_0_35]) ).

cnf(c_0_4409,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4405,c_0_512]) ).

cnf(c_0_4410,negated_conjecture,
    ~ p(s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4406,c_0_4407]) ).

cnf(c_0_4411,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4408,c_0_33]) ).

cnf(c_0_4412,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4409,c_0_334]) ).

cnf(c_0_4413,negated_conjecture,
    ~ p(s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4410,c_0_4298]) ).

cnf(c_0_4414,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4411,c_0_4298]) ).

cnf(c_0_4415,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4412,c_0_200]) ).

cnf(c_0_4416,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4413,c_0_4167]) ).

cnf(c_0_4417,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4414,c_0_4167]) ).

cnf(c_0_4418,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4415,c_0_118]) ).

cnf(c_0_4419,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4416,c_0_4016]) ).

cnf(c_0_4420,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4417,c_0_4016]) ).

cnf(c_0_4421,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4418,c_0_72]) ).

cnf(c_0_4422,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4419,c_0_3847]) ).

cnf(c_0_4423,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4420,c_0_3847]) ).

cnf(c_0_4424,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4421,c_0_49]) ).

cnf(c_0_4425,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4422,c_0_3662]) ).

cnf(c_0_4426,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4423,c_0_3662]) ).

cnf(c_0_4427,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4424,c_0_39]) ).

cnf(c_0_4428,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4425,c_0_3463]) ).

cnf(c_0_4429,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4426,c_0_3463]) ).

cnf(c_0_4430,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4427,c_0_35]) ).

cnf(c_0_4431,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4428,c_0_3252]) ).

cnf(c_0_4432,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4429,c_0_3252]) ).

cnf(c_0_4433,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4430,c_0_33]) ).

cnf(c_0_4434,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4431,c_0_3031]) ).

cnf(c_0_4435,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4432,c_0_3031]) ).

cnf(c_0_4436,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4433,c_0_4298]) ).

cnf(c_0_4437,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4434,c_0_2802]) ).

cnf(c_0_4438,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4435,c_0_2802]) ).

cnf(c_0_4439,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4436,c_0_4167]) ).

cnf(c_0_4440,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4437,c_0_2567]) ).

cnf(c_0_4441,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4438,c_0_2567]) ).

cnf(c_0_4442,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4439,c_0_4016]) ).

cnf(c_0_4443,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4440,c_0_2328]) ).

cnf(c_0_4444,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4441,c_0_2328]) ).

cnf(c_0_4445,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4442,c_0_3847]) ).

cnf(c_0_4446,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4443,c_0_2087]) ).

cnf(c_0_4447,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4444,c_0_2087]) ).

cnf(c_0_4448,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4445,c_0_3662]) ).

cnf(c_0_4449,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4446,c_0_1846]) ).

cnf(c_0_4450,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4447,c_0_1846]) ).

cnf(c_0_4451,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4448,c_0_3463]) ).

cnf(c_0_4452,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4449,c_0_1607]) ).

cnf(c_0_4453,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4450,c_0_1607]) ).

cnf(c_0_4454,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4451,c_0_3252]) ).

cnf(c_0_4455,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4452,c_0_1372]) ).

cnf(c_0_4456,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4453,c_0_1372]) ).

cnf(c_0_4457,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4454,c_0_3031]) ).

cnf(c_0_4458,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4455,c_0_1143]) ).

cnf(c_0_4459,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4456,c_0_1143]) ).

cnf(c_0_4460,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4457,c_0_2802]) ).

cnf(c_0_4461,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4458,c_0_922]) ).

cnf(c_0_4462,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4459,c_0_922]) ).

cnf(c_0_4463,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4460,c_0_2567]) ).

cnf(c_0_4464,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4461,c_0_711]) ).

cnf(c_0_4465,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4462,c_0_711]) ).

cnf(c_0_4466,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4463,c_0_2328]) ).

cnf(c_0_4467,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4464,c_0_512]) ).

cnf(c_0_4468,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4465,c_0_512]) ).

cnf(c_0_4469,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4466,c_0_2087]) ).

cnf(c_0_4470,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4467,c_0_334]) ).

cnf(c_0_4471,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4468,c_0_334]) ).

cnf(c_0_4472,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4469,c_0_1846]) ).

cnf(c_0_4473,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4470,c_0_200]) ).

cnf(c_0_4474,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4471,c_0_200]) ).

cnf(c_0_4475,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4472,c_0_1607]) ).

cnf(c_0_4476,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4473,c_0_118]) ).

cnf(c_0_4477,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4474,c_0_118]) ).

cnf(c_0_4478,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4475,c_0_1372]) ).

cnf(c_0_4479,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4476,c_0_72]) ).

cnf(c_0_4480,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4477,c_0_72]) ).

cnf(c_0_4481,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4478,c_0_1143]) ).

cnf(c_0_4482,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_4479,c_0_49]) ).

cnf(c_0_4483,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4480,c_0_49]) ).

cnf(c_0_4484,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4481,c_0_922]) ).

cnf(c_0_4485,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_4482,c_0_39]) ).

cnf(c_0_4486,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4483,c_0_39]) ).

cnf(c_0_4487,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4484,c_0_711]) ).

cnf(c_0_4488,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_4485,c_0_35]) ).

cnf(c_0_4489,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4486,c_0_35]) ).

cnf(c_0_4490,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4487,c_0_512]) ).

cnf(c_0_4491,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4488,c_0_33]) ).

cnf(c_0_4492,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4489,c_0_33]) ).

cnf(c_0_4493,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4490,c_0_334]) ).

cnf(c_0_4494,negated_conjecture,
    ~ p(s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4491,c_0_4492]) ).

cnf(c_0_4495,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4493,c_0_200]) ).

cnf(c_0_4496,negated_conjecture,
    ~ p(s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4494,c_0_4407]) ).

cnf(c_0_4497,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4495,c_0_118]) ).

cnf(c_0_4498,negated_conjecture,
    ~ p(s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4496,c_0_4298]) ).

cnf(c_0_4499,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4497,c_0_72]) ).

cnf(c_0_4500,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4498,c_0_4167]) ).

cnf(c_0_4501,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4499,c_0_49]) ).

cnf(c_0_4502,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4500,c_0_4016]) ).

cnf(c_0_4503,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_4501,c_0_39]) ).

cnf(c_0_4504,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4502,c_0_3847]) ).

cnf(c_0_4505,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_4503,c_0_35]) ).

cnf(c_0_4506,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4504,c_0_3662]) ).

cnf(c_0_4507,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4505,c_0_33]) ).

cnf(c_0_4508,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4506,c_0_3463]) ).

cnf(c_0_4509,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4507,c_0_4407]) ).

cnf(c_0_4510,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4508,c_0_3252]) ).

cnf(c_0_4511,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4509,c_0_4298]) ).

cnf(c_0_4512,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4510,c_0_3031]) ).

cnf(c_0_4513,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4511,c_0_4167]) ).

cnf(c_0_4514,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4512,c_0_2802]) ).

cnf(c_0_4515,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4513,c_0_4016]) ).

cnf(c_0_4516,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4514,c_0_2567]) ).

cnf(c_0_4517,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4515,c_0_3847]) ).

cnf(c_0_4518,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4516,c_0_2328]) ).

cnf(c_0_4519,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4517,c_0_3662]) ).

cnf(c_0_4520,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4518,c_0_2087]) ).

cnf(c_0_4521,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4519,c_0_3463]) ).

cnf(c_0_4522,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4520,c_0_1846]) ).

cnf(c_0_4523,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4521,c_0_3252]) ).

cnf(c_0_4524,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4522,c_0_1607]) ).

cnf(c_0_4525,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4523,c_0_3031]) ).

cnf(c_0_4526,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4524,c_0_1372]) ).

cnf(c_0_4527,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4525,c_0_2802]) ).

cnf(c_0_4528,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4526,c_0_1143]) ).

cnf(c_0_4529,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4527,c_0_2567]) ).

cnf(c_0_4530,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4528,c_0_922]) ).

cnf(c_0_4531,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4529,c_0_2328]) ).

cnf(c_0_4532,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4530,c_0_711]) ).

cnf(c_0_4533,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4531,c_0_2087]) ).

cnf(c_0_4534,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4532,c_0_512]) ).

cnf(c_0_4535,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4533,c_0_1846]) ).

cnf(c_0_4536,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4534,c_0_334]) ).

cnf(c_0_4537,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4535,c_0_1607]) ).

cnf(c_0_4538,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4536,c_0_200]) ).

cnf(c_0_4539,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4537,c_0_1372]) ).

cnf(c_0_4540,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4538,c_0_118]) ).

cnf(c_0_4541,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4539,c_0_1143]) ).

cnf(c_0_4542,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4540,c_0_72]) ).

cnf(c_0_4543,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4541,c_0_922]) ).

cnf(c_0_4544,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_4542,c_0_49]) ).

cnf(c_0_4545,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4543,c_0_711]) ).

cnf(c_0_4546,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_4544,c_0_39]) ).

cnf(c_0_4547,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4545,c_0_512]) ).

cnf(c_0_4548,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_4546,c_0_35]) ).

cnf(c_0_4549,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_4547,c_0_334]) ).

cnf(c_0_4550,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4548,c_0_33]) ).

cnf(c_0_4551,plain,
    ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4549,c_0_200]),c_0_4550]) ).

cnf(c_0_4552,plain,
    ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4551,c_0_118]) ).

cnf(c_0_4553,plain,
    ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4552,c_0_72]) ).

cnf(c_0_4554,plain,
    ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_4553,c_0_49]) ).

cnf(c_0_4555,plain,
    ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_4554,c_0_39]) ).

cnf(c_0_4556,plain,
    ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_4555,c_0_35]) ).

cnf(c_0_4557,plain,
    ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4556,c_0_33]) ).

cnf(c_0_4558,plain,
    ~ p(s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4557,c_0_4492]) ).

cnf(c_0_4559,plain,
    ~ p(s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4558,c_0_4407]) ).

cnf(c_0_4560,plain,
    ~ p(s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4559,c_0_4298]) ).

cnf(c_0_4561,plain,
    ~ p(s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4560,c_0_4167]) ).

cnf(c_0_4562,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4561,c_0_4016]) ).

cnf(c_0_4563,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4562,c_0_3847]) ).

cnf(c_0_4564,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4563,c_0_3662]) ).

cnf(c_0_4565,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4564,c_0_3463]) ).

cnf(c_0_4566,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4565,c_0_3252]) ).

cnf(c_0_4567,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4566,c_0_3031]) ).

cnf(c_0_4568,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4567,c_0_2802]) ).

cnf(c_0_4569,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4568,c_0_2567]) ).

cnf(c_0_4570,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4569,c_0_2328]) ).

cnf(c_0_4571,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4570,c_0_2087]) ).

cnf(c_0_4572,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4571,c_0_1846]) ).

cnf(c_0_4573,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4572,c_0_1607]) ).

cnf(c_0_4574,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4573,c_0_1372]) ).

cnf(c_0_4575,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4574,c_0_1143]) ).

cnf(c_0_4576,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4575,c_0_922]) ).

cnf(c_0_4577,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4576,c_0_711]) ).

cnf(c_0_4578,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4577,c_0_512]) ).

cnf(c_0_4579,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4578,c_0_334]) ).

cnf(c_0_4580,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4579,c_0_200]) ).

cnf(c_0_4581,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4580,c_0_118]) ).

cnf(c_0_4582,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_4581,c_0_72]) ).

cnf(c_0_4583,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_4582,c_0_49]) ).

cnf(c_0_4584,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_4583,c_0_39]) ).

cnf(c_0_4585,plain,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_4584,c_0_35]) ).

cnf(c_0_4586,axiom,
    p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    init ).

cnf(c_0_4587,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4585,c_0_33]),c_0_4586])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MSC015-1.030 : TPTP v8.1.2. Released v3.5.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 14:05:05 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 1.49/1.58  % Version  : CSE_E---1.5
% 1.49/1.58  % Problem  : theBenchmark.p
% 1.49/1.58  % Proof found
% 1.49/1.58  % SZS status Theorem for theBenchmark.p
% 1.49/1.58  % SZS output start Proof
% See solution above
% 1.75/1.66  % Total time : 1.011000 s
% 1.75/1.66  % SZS output end Proof
% 1.75/1.66  % Total time : 1.020000 s
%------------------------------------------------------------------------------