TSTP Solution File: PUZ056-2.005 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ056-2.005 : 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 : n009.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 13:12:23 EDT 2023

% Result   : Unsatisfiable 1.08s 1.14s
% Output   : CNFRefutation 1.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  107
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  137 (  18 unt;   5 typ;   0 def)
%            Number of atoms       :  879 (   0 equ)
%            Maximal formula atoms :   13 (   6 avg)
%            Number of connectives : 1496 ( 749   ~; 747   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   2   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-5 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :  581 (  59 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    p: ( $i * $i * $i * $i * $i ) > $o ).

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

tff(decl_24,type,
    s0: $i ).

tff(decl_25,type,
    s1: $i ).

tff(decl_26,type,
    s2: $i ).

cnf(rule1,axiom,
    ( p(X6,X2,X3,X4,X5)
    | ~ p(X1,X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1) ).

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

cnf(rule2,axiom,
    ( p(X1,X6,X3,X4,X5)
    | ~ p(X1,X2,X3,X4,X5)
    | ~ neq(X1,X2)
    | ~ neq(X1,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2) ).

cnf(neq7,axiom,
    neq(s2,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq7) ).

cnf(rule3,axiom,
    ( p(X1,X2,X6,X4,X5)
    | ~ p(X1,X2,X3,X4,X5)
    | ~ neq(X1,X3)
    | ~ neq(X1,X6)
    | ~ neq(X2,X3)
    | ~ neq(X2,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3) ).

cnf(neq4,axiom,
    neq(s1,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq4) ).

cnf(neq8,axiom,
    neq(s2,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq8) ).

cnf(neq2,axiom,
    neq(s0,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq2) ).

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

cnf(neq3,axiom,
    neq(s0,s2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq3) ).

cnf(neq6,axiom,
    neq(s1,s2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neq6) ).

cnf(rule5,axiom,
    ( p(X1,X2,X3,X4,X6)
    | ~ p(X1,X2,X3,X4,X5)
    | ~ neq(X1,X5)
    | ~ neq(X1,X6)
    | ~ neq(X2,X5)
    | ~ neq(X2,X6)
    | ~ neq(X3,X5)
    | ~ neq(X3,X6)
    | ~ neq(X4,X5)
    | ~ neq(X4,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5) ).

cnf(goal,negated_conjecture,
    ~ p(s2,s2,s2,s2,s2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(c_0_13,axiom,
    ( p(X6,X2,X3,X4,X5)
    | ~ p(X1,X2,X3,X4,X5) ),
    rule1 ).

cnf(c_0_14,axiom,
    p(s0,s0,s0,s0,s0),
    init ).

cnf(c_0_15,axiom,
    ( p(X1,X6,X3,X4,X5)
    | ~ p(X1,X2,X3,X4,X5)
    | ~ neq(X1,X2)
    | ~ neq(X1,X6) ),
    rule2 ).

cnf(c_0_16,plain,
    p(X1,s0,s0,s0,s0),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,plain,
    ( p(X1,X2,s0,s0,s0)
    | ~ neq(X1,s0)
    | ~ neq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_18,plain,
    ( p(X1,X2,s0,s0,s0)
    | ~ neq(X3,s0)
    | ~ neq(X3,X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_17]) ).

cnf(c_0_19,axiom,
    neq(s2,s0),
    neq7 ).

cnf(c_0_20,axiom,
    ( p(X1,X2,X6,X4,X5)
    | ~ p(X1,X2,X3,X4,X5)
    | ~ neq(X1,X3)
    | ~ neq(X1,X6)
    | ~ neq(X2,X3)
    | ~ neq(X2,X6) ),
    rule3 ).

cnf(c_0_21,plain,
    ( p(X1,X2,s0,s0,s0)
    | ~ neq(s2,X2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,plain,
    ( p(X1,X2,X3,s0,s0)
    | ~ neq(X2,s0)
    | ~ neq(X1,s0)
    | ~ neq(s2,X2)
    | ~ neq(X2,X3)
    | ~ neq(X1,X3) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,plain,
    ( p(X1,X2,X3,s0,s0)
    | ~ neq(X2,s0)
    | ~ neq(X4,s0)
    | ~ neq(s2,X2)
    | ~ neq(X2,X3)
    | ~ neq(X4,X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_22]) ).

cnf(c_0_24,axiom,
    neq(s1,s0),
    neq4 ).

cnf(c_0_25,plain,
    ( p(X1,X2,X3,s0,s0)
    | ~ neq(X2,s0)
    | ~ neq(s2,X2)
    | ~ neq(s1,X3)
    | ~ neq(X2,X3) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_26,plain,
    ( p(X1,X2,X3,s0,s0)
    | ~ neq(X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X3)
    | ~ neq(X1,X2)
    | ~ neq(X1,X4)
    | ~ neq(X4,X3) ),
    inference(spm,[status(thm)],[c_0_15,c_0_25]) ).

cnf(c_0_27,axiom,
    neq(s2,s1),
    neq8 ).

cnf(c_0_28,plain,
    ( p(X1,X2,X3,s0,s0)
    | ~ neq(s1,X3)
    | ~ neq(X1,s1)
    | ~ neq(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_27])]) ).

cnf(c_0_29,plain,
    ( p(X1,X2,X3,s0,s0)
    | ~ neq(s1,X3)
    | ~ neq(X4,s1)
    | ~ neq(X4,X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_28]) ).

cnf(c_0_30,axiom,
    neq(s0,s1),
    neq2 ).

cnf(c_0_31,axiom,
    ( p(X1,X2,X3,X6,X5)
    | ~ p(X1,X2,X3,X4,X5)
    | ~ neq(X1,X4)
    | ~ neq(X1,X6)
    | ~ neq(X2,X4)
    | ~ neq(X2,X6)
    | ~ neq(X3,X4)
    | ~ neq(X3,X6) ),
    rule4 ).

cnf(c_0_32,plain,
    ( p(X1,X2,X3,s0,s0)
    | ~ neq(s1,X3)
    | ~ neq(s0,X2) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_33,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(X3,s0)
    | ~ neq(X2,s0)
    | ~ neq(X1,s0)
    | ~ neq(s1,X3)
    | ~ neq(s0,X2)
    | ~ neq(X3,X4)
    | ~ neq(X2,X4)
    | ~ neq(X1,X4) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_34,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(X3,s0)
    | ~ neq(X2,s0)
    | ~ neq(X5,s0)
    | ~ neq(s1,X3)
    | ~ neq(s0,X2)
    | ~ neq(X3,X4)
    | ~ neq(X2,X4)
    | ~ neq(X5,X4) ),
    inference(spm,[status(thm)],[c_0_13,c_0_33]) ).

cnf(c_0_35,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(X3,s0)
    | ~ neq(X2,s0)
    | ~ neq(s1,X3)
    | ~ neq(s0,X2)
    | ~ neq(s2,X4)
    | ~ neq(X3,X4)
    | ~ neq(X2,X4) ),
    inference(spm,[status(thm)],[c_0_34,c_0_19]) ).

cnf(c_0_36,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(X3,s0)
    | ~ neq(X5,s0)
    | ~ neq(s1,X3)
    | ~ neq(s0,X5)
    | ~ neq(s2,X4)
    | ~ neq(X1,X2)
    | ~ neq(X1,X5)
    | ~ neq(X3,X4)
    | ~ neq(X5,X4) ),
    inference(spm,[status(thm)],[c_0_15,c_0_35]) ).

cnf(c_0_37,axiom,
    neq(s0,s2),
    neq3 ).

cnf(c_0_38,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(X3,s0)
    | ~ neq(s1,X3)
    | ~ neq(s2,X4)
    | ~ neq(X1,s2)
    | ~ neq(X1,X2)
    | ~ neq(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_19]),c_0_37])]) ).

cnf(c_0_39,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(X3,s0)
    | ~ neq(s1,X3)
    | ~ neq(s2,X4)
    | ~ neq(X5,s2)
    | ~ neq(X5,X2)
    | ~ neq(X3,X4) ),
    inference(spm,[status(thm)],[c_0_13,c_0_38]) ).

cnf(c_0_40,axiom,
    neq(s1,s2),
    neq6 ).

cnf(c_0_41,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(X3,s0)
    | ~ neq(s1,X3)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X3,X4) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_42,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(X5,s0)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X2,X3)
    | ~ neq(X2,X5)
    | ~ neq(X1,X3)
    | ~ neq(X1,X5)
    | ~ neq(X5,X4) ),
    inference(spm,[status(thm)],[c_0_20,c_0_41]) ).

cnf(c_0_43,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X2,s2)
    | ~ neq(X1,s2)
    | ~ neq(X2,X3)
    | ~ neq(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_19]),c_0_40])]) ).

cnf(c_0_44,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X2,s2)
    | ~ neq(X5,s2)
    | ~ neq(X2,X3)
    | ~ neq(X5,X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_43]) ).

cnf(c_0_45,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X2,s2)
    | ~ neq(s0,X3)
    | ~ neq(X2,X3) ),
    inference(spm,[status(thm)],[c_0_44,c_0_37]) ).

cnf(c_0_46,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X5)
    | ~ neq(X5,s2)
    | ~ neq(s0,X3)
    | ~ neq(X1,X2)
    | ~ neq(X1,X5)
    | ~ neq(X5,X3) ),
    inference(spm,[status(thm)],[c_0_15,c_0_45]) ).

cnf(c_0_47,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s0,X3)
    | ~ neq(X1,s0)
    | ~ neq(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_24]),c_0_37])]) ).

cnf(c_0_48,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s0,X3)
    | ~ neq(X5,s0)
    | ~ neq(X5,X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_47]) ).

cnf(c_0_49,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s0,X3)
    | ~ neq(s1,X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_24]) ).

cnf(c_0_50,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s0,X5)
    | ~ neq(s1,X2)
    | ~ neq(X2,X3)
    | ~ neq(X2,X5)
    | ~ neq(X1,X3)
    | ~ neq(X1,X5) ),
    inference(spm,[status(thm)],[c_0_20,c_0_49]) ).

cnf(c_0_51,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X2,s1)
    | ~ neq(X1,s1)
    | ~ neq(X2,X3)
    | ~ neq(X1,X3) ),
    inference(spm,[status(thm)],[c_0_50,c_0_30]) ).

cnf(c_0_52,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X2,s1)
    | ~ neq(X5,s1)
    | ~ neq(X2,X3)
    | ~ neq(X5,X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_51]) ).

cnf(c_0_53,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X2,s1)
    | ~ neq(s2,X3)
    | ~ neq(X2,X3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_27]) ).

cnf(c_0_54,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X5)
    | ~ neq(X5,s1)
    | ~ neq(s2,X3)
    | ~ neq(X1,X2)
    | ~ neq(X1,X5)
    | ~ neq(X5,X3) ),
    inference(spm,[status(thm)],[c_0_15,c_0_53]) ).

cnf(c_0_55,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(X1,s2)
    | ~ neq(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_40]),c_0_27])]) ).

cnf(c_0_56,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(X5,s2)
    | ~ neq(X5,X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_55]) ).

cnf(c_0_57,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(s1,X2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_40]) ).

cnf(c_0_58,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(s1,X5)
    | ~ neq(X1,X2)
    | ~ neq(X1,X5) ),
    inference(spm,[status(thm)],[c_0_15,c_0_57]) ).

cnf(c_0_59,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(X1,s0)
    | ~ neq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_24]) ).

cnf(c_0_60,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(X5,s0)
    | ~ neq(X5,X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_59]) ).

cnf(c_0_61,axiom,
    ( p(X1,X2,X3,X4,X6)
    | ~ p(X1,X2,X3,X4,X5)
    | ~ neq(X1,X5)
    | ~ neq(X1,X6)
    | ~ neq(X2,X5)
    | ~ neq(X2,X6)
    | ~ neq(X3,X5)
    | ~ neq(X3,X6)
    | ~ neq(X4,X5)
    | ~ neq(X4,X6) ),
    rule5 ).

cnf(c_0_62,plain,
    ( p(X1,X2,X3,X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(s2,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_19]) ).

cnf(c_0_63,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(X3,s0)
    | ~ neq(X2,s0)
    | ~ neq(X1,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(s2,X2)
    | ~ neq(X4,X5)
    | ~ neq(X3,X5)
    | ~ neq(X2,X5)
    | ~ neq(X1,X5) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_64,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(X3,s0)
    | ~ neq(X2,s0)
    | ~ neq(X6,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(s2,X2)
    | ~ neq(X4,X5)
    | ~ neq(X3,X5)
    | ~ neq(X2,X5)
    | ~ neq(X6,X5) ),
    inference(spm,[status(thm)],[c_0_13,c_0_63]) ).

cnf(c_0_65,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(X3,s0)
    | ~ neq(X2,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(s2,X2)
    | ~ neq(s1,X5)
    | ~ neq(X4,X5)
    | ~ neq(X3,X5)
    | ~ neq(X2,X5) ),
    inference(spm,[status(thm)],[c_0_64,c_0_24]) ).

cnf(c_0_66,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(X3,s0)
    | ~ neq(X6,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(s2,X6)
    | ~ neq(s1,X5)
    | ~ neq(X1,X2)
    | ~ neq(X1,X6)
    | ~ neq(X4,X5)
    | ~ neq(X3,X5)
    | ~ neq(X6,X5) ),
    inference(spm,[status(thm)],[c_0_15,c_0_65]) ).

cnf(c_0_67,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(X3,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(s1,X5)
    | ~ neq(X1,s1)
    | ~ neq(X1,X2)
    | ~ neq(X4,X5)
    | ~ neq(X3,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_24]),c_0_27])]) ).

cnf(c_0_68,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(X3,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(s1,X5)
    | ~ neq(X6,s1)
    | ~ neq(X6,X2)
    | ~ neq(X4,X5)
    | ~ neq(X3,X5) ),
    inference(spm,[status(thm)],[c_0_13,c_0_67]) ).

cnf(c_0_69,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(X3,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(s1,X5)
    | ~ neq(s2,X2)
    | ~ neq(X4,X5)
    | ~ neq(X3,X5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_27]) ).

cnf(c_0_70,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(X6,s0)
    | ~ neq(s2,X4)
    | ~ neq(s2,X6)
    | ~ neq(s1,X5)
    | ~ neq(s2,X2)
    | ~ neq(X2,X3)
    | ~ neq(X2,X6)
    | ~ neq(X1,X3)
    | ~ neq(X1,X6)
    | ~ neq(X4,X5)
    | ~ neq(X6,X5) ),
    inference(spm,[status(thm)],[c_0_20,c_0_69]) ).

cnf(c_0_71,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X5)
    | ~ neq(s2,X2)
    | ~ neq(X2,s1)
    | ~ neq(X1,s1)
    | ~ neq(X2,X3)
    | ~ neq(X1,X3)
    | ~ neq(X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_24]),c_0_27])]) ).

cnf(c_0_72,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X5)
    | ~ neq(s2,X2)
    | ~ neq(X2,s1)
    | ~ neq(X6,s1)
    | ~ neq(X2,X3)
    | ~ neq(X6,X3)
    | ~ neq(X4,X5) ),
    inference(spm,[status(thm)],[c_0_13,c_0_71]) ).

cnf(c_0_73,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X5)
    | ~ neq(s2,X2)
    | ~ neq(X2,s1)
    | ~ neq(s0,X3)
    | ~ neq(X2,X3)
    | ~ neq(X4,X5) ),
    inference(spm,[status(thm)],[c_0_72,c_0_30]) ).

cnf(c_0_74,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X5)
    | ~ neq(s2,X6)
    | ~ neq(X6,s1)
    | ~ neq(s0,X3)
    | ~ neq(X1,X2)
    | ~ neq(X1,X6)
    | ~ neq(X6,X3)
    | ~ neq(X4,X5) ),
    inference(spm,[status(thm)],[c_0_15,c_0_73]) ).

cnf(c_0_75,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(X1,s0)
    | ~ neq(X1,X2)
    | ~ neq(X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_19]),c_0_30])]) ).

cnf(c_0_76,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(X6,s0)
    | ~ neq(X6,X2)
    | ~ neq(X4,X5) ),
    inference(spm,[status(thm)],[c_0_13,c_0_75]) ).

cnf(c_0_77,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X4,s0)
    | ~ neq(s2,X4)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(s2,X2)
    | ~ neq(X4,X5) ),
    inference(spm,[status(thm)],[c_0_76,c_0_19]) ).

cnf(c_0_78,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(X6,s0)
    | ~ neq(s2,X6)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(s2,X2)
    | ~ neq(X3,X4)
    | ~ neq(X3,X6)
    | ~ neq(X2,X4)
    | ~ neq(X2,X6)
    | ~ neq(X1,X4)
    | ~ neq(X1,X6)
    | ~ neq(X6,X5) ),
    inference(spm,[status(thm)],[c_0_31,c_0_77]) ).

cnf(c_0_79,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(s2,X2)
    | ~ neq(X3,s1)
    | ~ neq(X2,s1)
    | ~ neq(X1,s1)
    | ~ neq(X3,X4)
    | ~ neq(X2,X4)
    | ~ neq(X1,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_24]),c_0_27])]) ).

cnf(c_0_80,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(s2,X2)
    | ~ neq(X3,s1)
    | ~ neq(X2,s1)
    | ~ neq(X6,s1)
    | ~ neq(X3,X4)
    | ~ neq(X2,X4)
    | ~ neq(X6,X4) ),
    inference(spm,[status(thm)],[c_0_13,c_0_79]) ).

cnf(c_0_81,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(s2,X2)
    | ~ neq(X3,s1)
    | ~ neq(X2,s1)
    | ~ neq(s0,X4)
    | ~ neq(X3,X4)
    | ~ neq(X2,X4) ),
    inference(spm,[status(thm)],[c_0_80,c_0_30]) ).

cnf(c_0_82,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(s2,X6)
    | ~ neq(X3,s1)
    | ~ neq(X6,s1)
    | ~ neq(s0,X4)
    | ~ neq(X1,X2)
    | ~ neq(X1,X6)
    | ~ neq(X3,X4)
    | ~ neq(X6,X4) ),
    inference(spm,[status(thm)],[c_0_15,c_0_81]) ).

cnf(c_0_83,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(X3,s1)
    | ~ neq(s0,X4)
    | ~ neq(X1,s0)
    | ~ neq(X1,X2)
    | ~ neq(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_19]),c_0_30])]) ).

cnf(c_0_84,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(X3,s1)
    | ~ neq(s0,X4)
    | ~ neq(X6,s0)
    | ~ neq(X6,X2)
    | ~ neq(X3,X4) ),
    inference(spm,[status(thm)],[c_0_13,c_0_83]) ).

cnf(c_0_85,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(X3,s1)
    | ~ neq(s0,X4)
    | ~ neq(s1,X2)
    | ~ neq(X3,X4) ),
    inference(spm,[status(thm)],[c_0_84,c_0_24]) ).

cnf(c_0_86,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(X3,s1)
    | ~ neq(s0,X6)
    | ~ neq(s1,X2)
    | ~ neq(X3,X4)
    | ~ neq(X3,X6)
    | ~ neq(X2,X4)
    | ~ neq(X2,X6)
    | ~ neq(X1,X4)
    | ~ neq(X1,X6) ),
    inference(spm,[status(thm)],[c_0_31,c_0_85]) ).

cnf(c_0_87,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(X3,s1)
    | ~ neq(s1,X2)
    | ~ neq(X2,s1)
    | ~ neq(X1,s1)
    | ~ neq(X3,X4)
    | ~ neq(X2,X4)
    | ~ neq(X1,X4) ),
    inference(spm,[status(thm)],[c_0_86,c_0_30]) ).

cnf(c_0_88,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(X3,s1)
    | ~ neq(s1,X2)
    | ~ neq(X2,s1)
    | ~ neq(X6,s1)
    | ~ neq(X3,X4)
    | ~ neq(X2,X4)
    | ~ neq(X6,X4) ),
    inference(spm,[status(thm)],[c_0_13,c_0_87]) ).

cnf(c_0_89,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(X3,s1)
    | ~ neq(s1,X2)
    | ~ neq(X2,s1)
    | ~ neq(s2,X4)
    | ~ neq(X3,X4)
    | ~ neq(X2,X4) ),
    inference(spm,[status(thm)],[c_0_88,c_0_27]) ).

cnf(c_0_90,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(X3,s1)
    | ~ neq(s1,X6)
    | ~ neq(X6,s1)
    | ~ neq(s2,X4)
    | ~ neq(X1,X2)
    | ~ neq(X1,X6)
    | ~ neq(X3,X4)
    | ~ neq(X6,X4) ),
    inference(spm,[status(thm)],[c_0_15,c_0_89]) ).

cnf(c_0_91,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(X3,s1)
    | ~ neq(s2,X4)
    | ~ neq(X1,s2)
    | ~ neq(X1,X2)
    | ~ neq(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_40]),c_0_27])]) ).

cnf(c_0_92,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(X3,s1)
    | ~ neq(s2,X4)
    | ~ neq(X6,s2)
    | ~ neq(X6,X2)
    | ~ neq(X3,X4) ),
    inference(spm,[status(thm)],[c_0_13,c_0_91]) ).

cnf(c_0_93,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X3)
    | ~ neq(X3,s1)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X3,X4) ),
    inference(spm,[status(thm)],[c_0_92,c_0_40]) ).

cnf(c_0_94,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X6)
    | ~ neq(X6,s1)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X2,X3)
    | ~ neq(X2,X6)
    | ~ neq(X1,X3)
    | ~ neq(X1,X6)
    | ~ neq(X6,X4) ),
    inference(spm,[status(thm)],[c_0_20,c_0_93]) ).

cnf(c_0_95,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X2,s2)
    | ~ neq(X1,s2)
    | ~ neq(X2,X3)
    | ~ neq(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_37]),c_0_27])]) ).

cnf(c_0_96,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X2,s2)
    | ~ neq(X6,s2)
    | ~ neq(X2,X3)
    | ~ neq(X6,X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_95]) ).

cnf(c_0_97,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X2,s2)
    | ~ neq(s0,X3)
    | ~ neq(X2,X3) ),
    inference(spm,[status(thm)],[c_0_96,c_0_37]) ).

cnf(c_0_98,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s1,X6)
    | ~ neq(X6,s2)
    | ~ neq(s0,X3)
    | ~ neq(X1,X2)
    | ~ neq(X1,X6)
    | ~ neq(X6,X3) ),
    inference(spm,[status(thm)],[c_0_15,c_0_97]) ).

cnf(c_0_99,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s0,X3)
    | ~ neq(X1,s0)
    | ~ neq(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_24]),c_0_37])]) ).

cnf(c_0_100,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s0,X3)
    | ~ neq(X6,s0)
    | ~ neq(X6,X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_99]) ).

cnf(c_0_101,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s0,X3)
    | ~ neq(s1,X2) ),
    inference(spm,[status(thm)],[c_0_100,c_0_24]) ).

cnf(c_0_102,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s0,X6)
    | ~ neq(s1,X2)
    | ~ neq(X2,X3)
    | ~ neq(X2,X6)
    | ~ neq(X1,X3)
    | ~ neq(X1,X6) ),
    inference(spm,[status(thm)],[c_0_20,c_0_101]) ).

cnf(c_0_103,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X2,s1)
    | ~ neq(X1,s1)
    | ~ neq(X2,X3)
    | ~ neq(X1,X3) ),
    inference(spm,[status(thm)],[c_0_102,c_0_30]) ).

cnf(c_0_104,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X2,s1)
    | ~ neq(X6,s1)
    | ~ neq(X2,X3)
    | ~ neq(X6,X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_103]) ).

cnf(c_0_105,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s1,X2)
    | ~ neq(X2,s1)
    | ~ neq(s2,X3)
    | ~ neq(X2,X3) ),
    inference(spm,[status(thm)],[c_0_104,c_0_27]) ).

cnf(c_0_106,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s1,X6)
    | ~ neq(X6,s1)
    | ~ neq(s2,X3)
    | ~ neq(X1,X2)
    | ~ neq(X1,X6)
    | ~ neq(X6,X3) ),
    inference(spm,[status(thm)],[c_0_15,c_0_105]) ).

cnf(c_0_107,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(X1,s2)
    | ~ neq(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_40]),c_0_27])]) ).

cnf(c_0_108,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(X6,s2)
    | ~ neq(X6,X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_107]) ).

cnf(c_0_109,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(s1,X2) ),
    inference(spm,[status(thm)],[c_0_108,c_0_40]) ).

cnf(c_0_110,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(s1,X6)
    | ~ neq(X1,X2)
    | ~ neq(X1,X6) ),
    inference(spm,[status(thm)],[c_0_15,c_0_109]) ).

cnf(c_0_111,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(X1,s0)
    | ~ neq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_110,c_0_24]) ).

cnf(c_0_112,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(X6,s0)
    | ~ neq(X6,X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_111]) ).

cnf(c_0_113,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X4)
    | ~ neq(s2,X3)
    | ~ neq(s2,X2) ),
    inference(spm,[status(thm)],[c_0_112,c_0_19]) ).

cnf(c_0_114,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X6)
    | ~ neq(s2,X3)
    | ~ neq(s2,X2)
    | ~ neq(X3,X4)
    | ~ neq(X3,X6)
    | ~ neq(X2,X4)
    | ~ neq(X2,X6)
    | ~ neq(X1,X4)
    | ~ neq(X1,X6) ),
    inference(spm,[status(thm)],[c_0_31,c_0_113]) ).

cnf(c_0_115,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X3)
    | ~ neq(s2,X2)
    | ~ neq(X3,s1)
    | ~ neq(X2,s1)
    | ~ neq(X1,s1)
    | ~ neq(X3,X4)
    | ~ neq(X2,X4)
    | ~ neq(X1,X4) ),
    inference(spm,[status(thm)],[c_0_114,c_0_27]) ).

cnf(c_0_116,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X3)
    | ~ neq(s2,X2)
    | ~ neq(X3,s1)
    | ~ neq(X2,s1)
    | ~ neq(X6,s1)
    | ~ neq(X3,X4)
    | ~ neq(X2,X4)
    | ~ neq(X6,X4) ),
    inference(spm,[status(thm)],[c_0_13,c_0_115]) ).

cnf(c_0_117,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X3)
    | ~ neq(s2,X2)
    | ~ neq(X3,s1)
    | ~ neq(X2,s1)
    | ~ neq(s0,X4)
    | ~ neq(X3,X4)
    | ~ neq(X2,X4) ),
    inference(spm,[status(thm)],[c_0_116,c_0_30]) ).

cnf(c_0_118,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X3)
    | ~ neq(s2,X6)
    | ~ neq(X3,s1)
    | ~ neq(X6,s1)
    | ~ neq(s0,X4)
    | ~ neq(X1,X2)
    | ~ neq(X1,X6)
    | ~ neq(X3,X4)
    | ~ neq(X6,X4) ),
    inference(spm,[status(thm)],[c_0_15,c_0_117]) ).

cnf(c_0_119,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X3)
    | ~ neq(X3,s1)
    | ~ neq(s0,X4)
    | ~ neq(X1,s0)
    | ~ neq(X1,X2)
    | ~ neq(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_19]),c_0_30])]) ).

cnf(c_0_120,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X3)
    | ~ neq(X3,s1)
    | ~ neq(s0,X4)
    | ~ neq(X6,s0)
    | ~ neq(X6,X2)
    | ~ neq(X3,X4) ),
    inference(spm,[status(thm)],[c_0_13,c_0_119]) ).

cnf(c_0_121,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X3)
    | ~ neq(X3,s1)
    | ~ neq(s0,X4)
    | ~ neq(s2,X2)
    | ~ neq(X3,X4) ),
    inference(spm,[status(thm)],[c_0_120,c_0_19]) ).

cnf(c_0_122,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s2,X6)
    | ~ neq(X6,s1)
    | ~ neq(s0,X4)
    | ~ neq(s2,X2)
    | ~ neq(X2,X3)
    | ~ neq(X2,X6)
    | ~ neq(X1,X3)
    | ~ neq(X1,X6)
    | ~ neq(X6,X4) ),
    inference(spm,[status(thm)],[c_0_20,c_0_121]) ).

cnf(c_0_123,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X4)
    | ~ neq(s2,X2)
    | ~ neq(X2,s0)
    | ~ neq(X1,s0)
    | ~ neq(X2,X3)
    | ~ neq(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_19]),c_0_30])]) ).

cnf(c_0_124,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X4)
    | ~ neq(s2,X2)
    | ~ neq(X2,s0)
    | ~ neq(X6,s0)
    | ~ neq(X2,X3)
    | ~ neq(X6,X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_123]) ).

cnf(c_0_125,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X4)
    | ~ neq(s2,X2)
    | ~ neq(X2,s0)
    | ~ neq(s1,X3)
    | ~ neq(X2,X3) ),
    inference(spm,[status(thm)],[c_0_124,c_0_24]) ).

cnf(c_0_126,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X4)
    | ~ neq(s2,X6)
    | ~ neq(X6,s0)
    | ~ neq(s1,X3)
    | ~ neq(X1,X2)
    | ~ neq(X1,X6)
    | ~ neq(X6,X3) ),
    inference(spm,[status(thm)],[c_0_15,c_0_125]) ).

cnf(c_0_127,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X4)
    | ~ neq(s1,X3)
    | ~ neq(X1,s1)
    | ~ neq(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_27]),c_0_24])]) ).

cnf(c_0_128,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X4)
    | ~ neq(s1,X3)
    | ~ neq(X6,s1)
    | ~ neq(X6,X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_127]) ).

cnf(c_0_129,negated_conjecture,
    ~ p(s2,s2,s2,s2,s2),
    goal ).

cnf(c_0_130,plain,
    ( p(X1,X2,X3,X4,X5)
    | ~ neq(s1,X5)
    | ~ neq(s0,X4)
    | ~ neq(s1,X3)
    | ~ neq(s0,X2) ),
    inference(spm,[status(thm)],[c_0_128,c_0_30]) ).

cnf(c_0_131,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_40]),c_0_37])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% 0.03/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n009.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   : Sat Aug 26 22:16:05 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.53/0.56  start to proof: theBenchmark
% 1.08/1.14  % Version  : CSE_E---1.5
% 1.08/1.14  % Problem  : theBenchmark.p
% 1.08/1.14  % Proof found
% 1.08/1.14  % SZS status Theorem for theBenchmark.p
% 1.08/1.14  % SZS output start Proof
% See solution above
% 1.08/1.14  % Total time : 0.561000 s
% 1.08/1.14  % SZS output end Proof
% 1.08/1.14  % Total time : 0.564000 s
%------------------------------------------------------------------------------