TSTP Solution File: MSC015-1.010 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MSC015-1.010 : TPTP v8.1.2. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n024.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 09:21:05 EDT 2023

% Result   : Unsatisfiable 0.19s 0.58s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   56
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  202 (  59 unt;   3 typ;   0 def)
%            Number of atoms       :  339 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  336 ( 196   ~; 140   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (   1   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-10 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :  300 (   0 sgn;   0   !;   0   ?;   0   :)

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

tff(decl_23,type,
    p: ( $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),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(rule1,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1) ).

cnf(rule2,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2) ).

cnf(rule3,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3) ).

cnf(rule4,axiom,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4) ).

cnf(rule5,axiom,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5) ).

cnf(rule6,axiom,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6) ).

cnf(rule7,axiom,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7) ).

cnf(rule8,axiom,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8) ).

cnf(rule9,axiom,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9) ).

cnf(rule10,axiom,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10) ).

cnf(init,axiom,
    p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).

cnf(c_0_12,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s1),
    goal ).

cnf(c_0_13,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s1)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,X9,s0) ),
    rule1 ).

cnf(c_0_14,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s1,s0),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,X8,s1,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,X8,s0,s1) ),
    rule2 ).

cnf(c_0_16,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s1),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,axiom,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s1) ),
    rule3 ).

cnf(c_0_18,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_16,c_0_13]) ).

cnf(c_0_19,plain,
    ( p(X1,X2,X3,X4,X5,X6,X7,s1,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,X7,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_13]) ).

cnf(c_0_20,axiom,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s1) ),
    rule4 ).

cnf(c_0_21,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_20,c_0_13]) ).

cnf(c_0_23,axiom,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s1) ),
    rule5 ).

cnf(c_0_24,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_21,c_0_15]) ).

cnf(c_0_25,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_15]) ).

cnf(c_0_26,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_23,c_0_13]) ).

cnf(c_0_27,axiom,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s1) ),
    rule6 ).

cnf(c_0_28,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_24,c_0_13]) ).

cnf(c_0_29,plain,
    ( p(X1,X2,X3,X4,X5,X6,s1,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,X6,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_25,c_0_13]) ).

cnf(c_0_30,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_15]) ).

cnf(c_0_31,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_27,c_0_13]) ).

cnf(c_0_32,axiom,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s1) ),
    rule7 ).

cnf(c_0_33,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_13]) ).

cnf(c_0_35,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_15]) ).

cnf(c_0_36,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_13]) ).

cnf(c_0_37,axiom,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s1) ),
    rule8 ).

cnf(c_0_38,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_33,c_0_19]) ).

cnf(c_0_39,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_19]) ).

cnf(c_0_40,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_13]) ).

cnf(c_0_41,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_15]) ).

cnf(c_0_42,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_13]) ).

cnf(c_0_43,axiom,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule9 ).

cnf(c_0_44,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_38,c_0_15]) ).

cnf(c_0_45,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_15]) ).

cnf(c_0_46,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_40,c_0_19]) ).

cnf(c_0_47,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_13]) ).

cnf(c_0_48,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_15]) ).

cnf(c_0_49,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_13]) ).

cnf(c_0_50,axiom,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s1) ),
    rule10 ).

cnf(c_0_51,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_44,c_0_13]) ).

cnf(c_0_52,plain,
    ( p(X1,X2,X3,X4,X5,s1,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,X5,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_13]) ).

cnf(c_0_53,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_15]) ).

cnf(c_0_54,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_19]) ).

cnf(c_0_55,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_13]) ).

cnf(c_0_56,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_15]) ).

cnf(c_0_57,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s1,s0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_13]) ).

cnf(c_0_58,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_59,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_53,c_0_13]) ).

cnf(c_0_60,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_15]) ).

cnf(c_0_61,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_55,c_0_19]) ).

cnf(c_0_62,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_13]) ).

cnf(c_0_63,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_15]) ).

cnf(c_0_64,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_58,c_0_29]) ).

cnf(c_0_65,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_29]) ).

cnf(c_0_66,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_13]) ).

cnf(c_0_67,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_15]) ).

cnf(c_0_68,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_19]) ).

cnf(c_0_69,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_63,c_0_13]) ).

cnf(c_0_70,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_64,c_0_19]) ).

cnf(c_0_71,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_19]) ).

cnf(c_0_72,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_66,c_0_29]) ).

cnf(c_0_73,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_13]) ).

cnf(c_0_74,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_15]) ).

cnf(c_0_75,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_69,c_0_19]) ).

cnf(c_0_76,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_70,c_0_15]) ).

cnf(c_0_77,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_15]) ).

cnf(c_0_78,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_72,c_0_19]) ).

cnf(c_0_79,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_73,c_0_29]) ).

cnf(c_0_80,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_74,c_0_13]) ).

cnf(c_0_81,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_15]) ).

cnf(c_0_82,negated_conjecture,
    ~ p(s1,s1,s1,s1,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_76,c_0_13]) ).

cnf(c_0_83,plain,
    ( p(X1,X2,X3,X4,s1,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,X4,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_77,c_0_13]) ).

cnf(c_0_84,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_15]) ).

cnf(c_0_85,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_79,c_0_19]) ).

cnf(c_0_86,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_80,c_0_29]) ).

cnf(c_0_87,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_81,c_0_13]) ).

cnf(c_0_88,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_89,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_84,c_0_13]) ).

cnf(c_0_90,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_85,c_0_15]) ).

cnf(c_0_91,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_86,c_0_19]) ).

cnf(c_0_92,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_87,c_0_29]) ).

cnf(c_0_93,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_88,c_0_52]) ).

cnf(c_0_94,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_89,c_0_52]) ).

cnf(c_0_95,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_90,c_0_13]) ).

cnf(c_0_96,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_91,c_0_15]) ).

cnf(c_0_97,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_92,c_0_19]) ).

cnf(c_0_98,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_93,c_0_29]) ).

cnf(c_0_99,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_94,c_0_29]) ).

cnf(c_0_100,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_52]) ).

cnf(c_0_101,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_96,c_0_13]) ).

cnf(c_0_102,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_97,c_0_15]) ).

cnf(c_0_103,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_98,c_0_19]) ).

cnf(c_0_104,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_99,c_0_19]) ).

cnf(c_0_105,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_100,c_0_29]) ).

cnf(c_0_106,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_101,c_0_52]) ).

cnf(c_0_107,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_102,c_0_13]) ).

cnf(c_0_108,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_103,c_0_15]) ).

cnf(c_0_109,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_104,c_0_15]) ).

cnf(c_0_110,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_19]) ).

cnf(c_0_111,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_106,c_0_29]) ).

cnf(c_0_112,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_52]) ).

cnf(c_0_113,negated_conjecture,
    ~ p(s1,s1,s1,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_108,c_0_13]) ).

cnf(c_0_114,plain,
    ( p(X1,X2,X3,s1,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,X3,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_109,c_0_13]) ).

cnf(c_0_115,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_15]) ).

cnf(c_0_116,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_19]) ).

cnf(c_0_117,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_112,c_0_29]) ).

cnf(c_0_118,negated_conjecture,
    ~ p(s1,s1,s1,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_119,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_13]) ).

cnf(c_0_120,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_116,c_0_15]) ).

cnf(c_0_121,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_117,c_0_19]) ).

cnf(c_0_122,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_118,c_0_83]) ).

cnf(c_0_123,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_119,c_0_83]) ).

cnf(c_0_124,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_13]) ).

cnf(c_0_125,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_121,c_0_15]) ).

cnf(c_0_126,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_122,c_0_52]) ).

cnf(c_0_127,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_123,c_0_52]) ).

cnf(c_0_128,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_83]) ).

cnf(c_0_129,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_125,c_0_13]) ).

cnf(c_0_130,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_126,c_0_29]) ).

cnf(c_0_131,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_127,c_0_29]) ).

cnf(c_0_132,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_52]) ).

cnf(c_0_133,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_129,c_0_83]) ).

cnf(c_0_134,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_130,c_0_19]) ).

cnf(c_0_135,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_131,c_0_19]) ).

cnf(c_0_136,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_29]) ).

cnf(c_0_137,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_133,c_0_52]) ).

cnf(c_0_138,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_134,c_0_15]) ).

cnf(c_0_139,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_135,c_0_15]) ).

cnf(c_0_140,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_136,c_0_19]) ).

cnf(c_0_141,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_137,c_0_29]) ).

cnf(c_0_142,negated_conjecture,
    ~ p(s1,s1,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_138,c_0_13]) ).

cnf(c_0_143,plain,
    ( p(X1,X2,s1,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,X2,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_13]) ).

cnf(c_0_144,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_140,c_0_15]) ).

cnf(c_0_145,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_141,c_0_19]) ).

cnf(c_0_146,negated_conjecture,
    ~ p(s1,s1,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_147,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_144,c_0_13]) ).

cnf(c_0_148,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_145,c_0_15]) ).

cnf(c_0_149,negated_conjecture,
    ~ p(s1,s1,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_146,c_0_114]) ).

cnf(c_0_150,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_147,c_0_114]) ).

cnf(c_0_151,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_148,c_0_13]) ).

cnf(c_0_152,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_149,c_0_83]) ).

cnf(c_0_153,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_83]) ).

cnf(c_0_154,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_151,c_0_114]) ).

cnf(c_0_155,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_152,c_0_52]) ).

cnf(c_0_156,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_52]) ).

cnf(c_0_157,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_154,c_0_83]) ).

cnf(c_0_158,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_155,c_0_29]) ).

cnf(c_0_159,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_29]) ).

cnf(c_0_160,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_157,c_0_52]) ).

cnf(c_0_161,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_158,c_0_19]) ).

cnf(c_0_162,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_159,c_0_19]) ).

cnf(c_0_163,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_160,c_0_29]) ).

cnf(c_0_164,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_161,c_0_15]) ).

cnf(c_0_165,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_15]) ).

cnf(c_0_166,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_163,c_0_19]) ).

cnf(c_0_167,negated_conjecture,
    ~ p(s1,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_164,c_0_13]) ).

cnf(c_0_168,plain,
    ( p(X1,s1,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(X1,s0,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_165,c_0_13]) ).

cnf(c_0_169,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_15]) ).

cnf(c_0_170,negated_conjecture,
    ~ p(s1,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_171,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s1,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_169,c_0_13]) ).

cnf(c_0_172,negated_conjecture,
    ~ p(s1,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_170,c_0_143]) ).

cnf(c_0_173,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s1,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_171,c_0_143]) ).

cnf(c_0_174,negated_conjecture,
    ~ p(s1,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_172,c_0_114]) ).

cnf(c_0_175,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s1,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_114]) ).

cnf(c_0_176,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_174,c_0_83]) ).

cnf(c_0_177,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s1,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_83]) ).

cnf(c_0_178,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_176,c_0_52]) ).

cnf(c_0_179,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s1,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_177,c_0_52]) ).

cnf(c_0_180,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_178,c_0_29]) ).

cnf(c_0_181,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s1,s0,s0) ),
    inference(spm,[status(thm)],[c_0_179,c_0_29]) ).

cnf(c_0_182,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_180,c_0_19]) ).

cnf(c_0_183,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s1,s0) ),
    inference(spm,[status(thm)],[c_0_181,c_0_19]) ).

cnf(c_0_184,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_182,c_0_15]) ).

cnf(c_0_185,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s1) ),
    inference(spm,[status(thm)],[c_0_183,c_0_15]) ).

cnf(c_0_186,negated_conjecture,
    ~ p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_184,c_0_13]) ).

cnf(c_0_187,plain,
    ( p(s1,s0,s0,s0,s0,s0,s0,s0,s0,s0)
    | ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_13]) ).

cnf(c_0_188,negated_conjecture,
    ~ p(s0,s1,s0,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_189,negated_conjecture,
    ~ p(s0,s0,s1,s0,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_188,c_0_168]) ).

cnf(c_0_190,negated_conjecture,
    ~ p(s0,s0,s0,s1,s0,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_189,c_0_143]) ).

cnf(c_0_191,negated_conjecture,
    ~ p(s0,s0,s0,s0,s1,s0,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_190,c_0_114]) ).

cnf(c_0_192,negated_conjecture,
    ~ p(s0,s0,s0,s0,s0,s1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_191,c_0_83]) ).

cnf(c_0_193,negated_conjecture,
    ~ p(s0,s0,s0,s0,s0,s0,s1,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_192,c_0_52]) ).

cnf(c_0_194,negated_conjecture,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s1,s0,s0),
    inference(spm,[status(thm)],[c_0_193,c_0_29]) ).

cnf(c_0_195,negated_conjecture,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s1,s0),
    inference(spm,[status(thm)],[c_0_194,c_0_19]) ).

cnf(c_0_196,negated_conjecture,
    ~ p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s1),
    inference(spm,[status(thm)],[c_0_195,c_0_15]) ).

cnf(c_0_197,axiom,
    p(s0,s0,s0,s0,s0,s0,s0,s0,s0,s0),
    init ).

cnf(c_0_198,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_13]),c_0_197])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : MSC015-1.010 : TPTP v8.1.2. Released v3.5.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Thu Aug 24 13:50:39 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.58  % Version  : CSE_E---1.5
% 0.19/0.58  % Problem  : theBenchmark.p
% 0.19/0.58  % Proof found
% 0.19/0.58  % SZS status Theorem for theBenchmark.p
% 0.19/0.58  % SZS output start Proof
% See solution above
% 0.19/0.59  % Total time : 0.014000 s
% 0.19/0.59  % SZS output end Proof
% 0.19/0.59  % Total time : 0.017000 s
%------------------------------------------------------------------------------