TSTP Solution File: PUZ056-2.005 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 13:19:46 EDT 2023

% Result   : Unsatisfiable 0.53s 1.15s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   13
% Syntax   : Number of clauses     :  113 (  45 unt;   0 nHn;  94 RR)
%            Number of literals    :  305 (   0 equ; 201 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            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   :  183 (  24 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ p(X0,X1,X2,X3,X4)
    | p(X5,X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1) ).

cnf(c_50,plain,
    ( ~ p(X0,X1,X2,X3,X4)
    | ~ neq(X0,X1)
    | ~ neq(X0,X5)
    | p(X0,X5,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2) ).

cnf(c_51,plain,
    ( ~ p(X0,X1,X2,X3,X4)
    | ~ neq(X0,X2)
    | ~ neq(X0,X5)
    | ~ neq(X1,X2)
    | ~ neq(X1,X5)
    | p(X0,X1,X5,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3) ).

cnf(c_52,plain,
    ( ~ p(X0,X1,X2,X3,X4)
    | ~ neq(X0,X3)
    | ~ neq(X0,X5)
    | ~ neq(X1,X3)
    | ~ neq(X1,X5)
    | ~ neq(X2,X3)
    | ~ neq(X2,X5)
    | p(X0,X1,X2,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4) ).

cnf(c_53,plain,
    ( ~ p(X0,X1,X2,X3,X4)
    | ~ neq(X0,X4)
    | ~ neq(X0,X5)
    | ~ neq(X1,X4)
    | ~ neq(X1,X5)
    | ~ neq(X2,X4)
    | ~ neq(X2,X5)
    | ~ neq(X3,X4)
    | ~ neq(X3,X5)
    | p(X0,X1,X2,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5) ).

cnf(c_55,plain,
    neq(s0,s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq2) ).

cnf(c_56,plain,
    neq(s0,s2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq3) ).

cnf(c_57,plain,
    neq(s1,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq4) ).

cnf(c_59,plain,
    neq(s1,s2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq6) ).

cnf(c_60,plain,
    neq(s2,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq7) ).

cnf(c_61,plain,
    neq(s2,s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq8) ).

cnf(c_63,plain,
    p(s0,s0,s0,s0,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).

cnf(c_64,negated_conjecture,
    ~ p(s2,s2,s2,s2,s2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(c_65,plain,
    p(X0,s0,s0,s0,s0),
    inference(resolution,[status(thm)],[c_49,c_63]) ).

cnf(c_67,plain,
    ( ~ p(s0,s2,X0,X1,X2)
    | ~ neq(s0,X3)
    | p(s0,X3,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_50,c_56]) ).

cnf(c_68,plain,
    ( ~ p(s1,s2,X0,X1,X2)
    | ~ neq(s1,X3)
    | p(s1,X3,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_50,c_59]) ).

cnf(c_70,plain,
    ( ~ p(s2,s0,X0,X1,X2)
    | ~ neq(s2,X3)
    | p(s2,X3,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_50,c_60]) ).

cnf(c_71,plain,
    ( ~ p(s2,s1,X0,X1,X2)
    | ~ neq(s2,X3)
    | p(s2,X3,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_50,c_61]) ).

cnf(c_74,plain,
    ( ~ p(s0,s1,X0,X1,X2)
    | ~ neq(s0,X3)
    | p(s0,X3,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_55,c_50]) ).

cnf(c_75,plain,
    ( ~ p(s0,s2,X0,X1,X2)
    | p(s0,s1,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_55,c_67]) ).

cnf(c_77,plain,
    ( ~ p(s1,s0,X0,X1,X2)
    | ~ neq(s1,X3)
    | p(s1,X3,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_57,c_50]) ).

cnf(c_79,plain,
    ( ~ p(s0,X0,s2,X1,X2)
    | ~ neq(X0,X3)
    | ~ neq(X0,s2)
    | ~ neq(s0,X3)
    | p(s0,X0,X3,X1,X2) ),
    inference(resolution,[status(thm)],[c_51,c_56]) ).

cnf(c_80,plain,
    ( ~ p(s1,X0,s0,X1,X2)
    | ~ neq(X0,X3)
    | ~ neq(X0,s0)
    | ~ neq(s1,X3)
    | p(s1,X0,X3,X1,X2) ),
    inference(resolution,[status(thm)],[c_51,c_57]) ).

cnf(c_82,plain,
    ( ~ p(s2,X0,s0,X1,X2)
    | ~ neq(X0,X3)
    | ~ neq(X0,s0)
    | ~ neq(s2,X3)
    | p(s2,X0,X3,X1,X2) ),
    inference(resolution,[status(thm)],[c_51,c_60]) ).

cnf(c_83,plain,
    ( ~ p(s2,X0,s1,X1,X2)
    | ~ neq(X0,X3)
    | ~ neq(X0,s1)
    | ~ neq(s2,X3)
    | p(s2,X0,X3,X1,X2) ),
    inference(resolution,[status(thm)],[c_51,c_61]) ).

cnf(c_84,plain,
    ( ~ p(s0,X0,X1,s1,X2)
    | ~ neq(X0,X3)
    | ~ neq(X1,X3)
    | ~ neq(X0,s1)
    | ~ neq(X1,s1)
    | ~ neq(s0,X3)
    | p(s0,X0,X1,X3,X2) ),
    inference(resolution,[status(thm)],[c_52,c_55]) ).

cnf(c_85,plain,
    ( ~ p(s0,X0,X1,s2,X2)
    | ~ neq(X0,X3)
    | ~ neq(X1,X3)
    | ~ neq(X0,s2)
    | ~ neq(X1,s2)
    | ~ neq(s0,X3)
    | p(s0,X0,X1,X3,X2) ),
    inference(resolution,[status(thm)],[c_52,c_56]) ).

cnf(c_86,plain,
    ( ~ p(s1,X0,X1,s0,X2)
    | ~ neq(X0,X3)
    | ~ neq(X1,X3)
    | ~ neq(X0,s0)
    | ~ neq(X1,s0)
    | ~ neq(s1,X3)
    | p(s1,X0,X1,X3,X2) ),
    inference(resolution,[status(thm)],[c_52,c_57]) ).

cnf(c_92,plain,
    ( ~ p(s1,X0,X1,X2,s0)
    | ~ neq(X0,X3)
    | ~ neq(X1,X3)
    | ~ neq(X2,X3)
    | ~ neq(X0,s0)
    | ~ neq(X1,s0)
    | ~ neq(X2,s0)
    | ~ neq(s1,X3)
    | p(s1,X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[c_53,c_57]) ).

cnf(c_96,plain,
    ( ~ p(s1,s2,X0,X1,X2)
    | p(s1,s0,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_68,c_57]) ).

cnf(c_100,plain,
    ( ~ p(s2,s0,X0,X1,X2)
    | p(s2,s1,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_70,c_61]) ).

cnf(c_102,plain,
    p(s2,s1,s0,s0,s0),
    inference(resolution,[status(thm)],[c_100,c_65]) ).

cnf(c_103,plain,
    p(X0,s1,s0,s0,s0),
    inference(resolution,[status(thm)],[c_102,c_49]) ).

cnf(c_106,plain,
    ( ~ p(s2,s1,X0,X1,X2)
    | p(s2,s0,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_71,c_60]) ).

cnf(c_117,plain,
    ( ~ p(s0,s1,X0,X1,X2)
    | p(s0,s2,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_74,c_56]) ).

cnf(c_120,plain,
    ( ~ p(s1,s0,X0,X1,X2)
    | p(s1,s2,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_77,c_59]) ).

cnf(c_125,plain,
    ( ~ p(X0,s2,s2,s2,s2)
    | p(s2,s2,s2,s2,s2) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_138,plain,
    ( ~ p(X0,X1,s2,s2,s2)
    | ~ neq(X0,X1)
    | ~ neq(X0,s2)
    | p(X0,s2,s2,s2,s2) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_139,plain,
    ( ~ neq(X0,s2)
    | ~ neq(X0,X1)
    | ~ p(X0,X1,s2,s2,s2) ),
    inference(global_subsumption_just,[status(thm)],[c_138,c_64,c_125,c_138]) ).

cnf(c_140,plain,
    ( ~ p(X0,X1,s2,s2,s2)
    | ~ neq(X0,X1)
    | ~ neq(X0,s2) ),
    inference(renaming,[status(thm)],[c_139]) ).

cnf(c_144,plain,
    ( ~ p(s0,s0,s2,X0,X1)
    | ~ neq(s0,s1)
    | ~ neq(s0,s2)
    | p(s0,s0,s1,X0,X1) ),
    inference(resolution,[status(thm)],[c_79,c_55]) ).

cnf(c_151,plain,
    ( ~ p(s0,s1,s2,s2,s2)
    | ~ neq(s0,s1)
    | ~ neq(s0,s2) ),
    inference(instantiation,[status(thm)],[c_140]) ).

cnf(c_168,plain,
    ( ~ p(s1,s1,s0,X0,X1)
    | ~ neq(s1,s0)
    | ~ neq(s1,s2)
    | p(s1,s1,s2,X0,X1) ),
    inference(resolution,[status(thm)],[c_80,c_59]) ).

cnf(c_202,plain,
    ( ~ p(s2,s2,s0,X0,X1)
    | ~ neq(s2,s0)
    | ~ neq(s2,s1)
    | p(s2,s2,s1,X0,X1) ),
    inference(resolution,[status(thm)],[c_82,c_61]) ).

cnf(c_204,plain,
    ( ~ p(X0,s1,s2,s2,s2)
    | p(s0,s1,s2,s2,s2) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_219,plain,
    ( ~ p(s2,s2,s1,X0,X1)
    | ~ neq(s2,s0)
    | ~ neq(s2,s1)
    | p(s2,s2,s0,X0,X1) ),
    inference(resolution,[status(thm)],[c_83,c_60]) ).

cnf(c_223,plain,
    ( ~ p(s0,s0,X0,s1,X1)
    | ~ neq(X0,s1)
    | ~ neq(X0,s2)
    | ~ neq(s0,s1)
    | ~ neq(s0,s2)
    | p(s0,s0,X0,s2,X1) ),
    inference(resolution,[status(thm)],[c_84,c_56]) ).

cnf(c_229,plain,
    ( ~ p(s0,s0,X0,s2,X1)
    | ~ neq(X0,s1)
    | ~ neq(X0,s2)
    | ~ neq(s0,s1)
    | ~ neq(s0,s2)
    | p(s0,s0,X0,s1,X1) ),
    inference(resolution,[status(thm)],[c_85,c_55]) ).

cnf(c_258,plain,
    ( ~ p(s0,s0,s2,X0,X1)
    | p(s0,s0,s1,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_144,c_56,c_55,c_144]) ).

cnf(c_272,plain,
    ( ~ p(s1,s1,X0,s0,X1)
    | ~ neq(X0,s0)
    | ~ neq(X0,s2)
    | ~ neq(s1,s0)
    | ~ neq(s1,s2)
    | p(s1,s1,X0,s2,X1) ),
    inference(resolution,[status(thm)],[c_86,c_59]) ).

cnf(c_302,plain,
    ( ~ p(s1,s1,s0,X0,X1)
    | p(s1,s1,s2,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_168,c_59,c_57,c_168]) ).

cnf(c_305,plain,
    p(s1,s1,s2,s0,s0),
    inference(resolution,[status(thm)],[c_302,c_103]) ).

cnf(c_306,plain,
    p(X0,s1,s2,s0,s0),
    inference(resolution,[status(thm)],[c_305,c_49]) ).

cnf(c_309,plain,
    p(s2,s0,s2,s0,s0),
    inference(resolution,[status(thm)],[c_306,c_106]) ).

cnf(c_311,plain,
    p(X0,s0,s2,s0,s0),
    inference(resolution,[status(thm)],[c_309,c_49]) ).

cnf(c_319,plain,
    p(s0,s0,s1,s0,s0),
    inference(resolution,[status(thm)],[c_311,c_258]) ).

cnf(c_344,plain,
    ( ~ p(s1,s1,X0,X1,s0)
    | ~ neq(X0,s0)
    | ~ neq(X0,s2)
    | ~ neq(X1,s0)
    | ~ neq(X1,s2)
    | ~ neq(s1,s0)
    | ~ neq(s1,s2)
    | p(s1,s1,X0,X1,s2) ),
    inference(resolution,[status(thm)],[c_92,c_59]) ).

cnf(c_380,plain,
    p(X0,s0,s1,s0,s0),
    inference(resolution,[status(thm)],[c_319,c_49]) ).

cnf(c_385,plain,
    p(s2,s1,s1,s0,s0),
    inference(resolution,[status(thm)],[c_380,c_100]) ).

cnf(c_392,plain,
    ( ~ p(X0,s1,X1,s2,s2)
    | ~ neq(X0,X1)
    | ~ neq(X0,s2)
    | ~ neq(s1,X1)
    | ~ neq(s1,s2)
    | p(X0,s1,s2,s2,s2) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_393,plain,
    ( ~ p(X0,s1,X1,s2,s2)
    | ~ neq(X0,X1)
    | ~ neq(X0,s2)
    | ~ neq(s1,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_392,c_59,c_56,c_55,c_151,c_204,c_392]) ).

cnf(c_399,plain,
    p(X0,s1,s1,s0,s0),
    inference(resolution,[status(thm)],[c_385,c_49]) ).

cnf(c_445,plain,
    ( ~ p(s2,s2,s0,X0,X1)
    | p(s2,s2,s1,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_61,c_60,c_202]) ).

cnf(c_452,plain,
    ( ~ p(s2,s2,s1,X0,X1)
    | p(s2,s2,s0,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_61,c_60,c_219]) ).

cnf(c_457,plain,
    ( ~ p(s0,s0,X0,s1,X1)
    | ~ neq(X0,s1)
    | ~ neq(X0,s2)
    | p(s0,s0,X0,s2,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_56,c_55,c_223]) ).

cnf(c_459,plain,
    ( ~ p(s0,s0,s0,s1,X0)
    | ~ neq(s0,s2)
    | p(s0,s0,s0,s2,X0) ),
    inference(resolution,[status(thm)],[c_457,c_55]) ).

cnf(c_464,plain,
    ( ~ p(s0,s0,X0,s2,X1)
    | ~ neq(X0,s1)
    | ~ neq(X0,s2)
    | p(s0,s0,X0,s1,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_56,c_55,c_229]) ).

cnf(c_468,plain,
    ( ~ p(s0,s0,s0,s1,X0)
    | p(s0,s0,s0,s2,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_459,c_56,c_459]) ).

cnf(c_471,plain,
    ( ~ p(s0,s0,s0,s2,X0)
    | ~ neq(s0,s2)
    | p(s0,s0,s0,s1,X0) ),
    inference(resolution,[status(thm)],[c_464,c_55]) ).

cnf(c_474,plain,
    ( ~ p(s0,s0,s0,s2,X0)
    | p(s0,s0,s0,s1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_471,c_56,c_471]) ).

cnf(c_483,plain,
    ( ~ p(s1,s1,X0,s0,X1)
    | ~ neq(X0,s0)
    | ~ neq(X0,s2)
    | p(s1,s1,X0,s2,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_272,c_59,c_57,c_272]) ).

cnf(c_485,plain,
    ( ~ p(s1,s1,s1,s0,X0)
    | ~ neq(s1,s2)
    | p(s1,s1,s1,s2,X0) ),
    inference(resolution,[status(thm)],[c_483,c_57]) ).

cnf(c_490,plain,
    ( ~ p(s1,s1,s1,s0,X0)
    | p(s1,s1,s1,s2,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_485,c_59,c_485]) ).

cnf(c_493,plain,
    p(s1,s1,s1,s2,s0),
    inference(resolution,[status(thm)],[c_490,c_399]) ).

cnf(c_494,plain,
    p(X0,s1,s1,s2,s0),
    inference(resolution,[status(thm)],[c_493,c_49]) ).

cnf(c_498,plain,
    p(s0,s2,s1,s2,s0),
    inference(resolution,[status(thm)],[c_494,c_117]) ).

cnf(c_502,plain,
    p(X0,s2,s1,s2,s0),
    inference(resolution,[status(thm)],[c_498,c_49]) ).

cnf(c_513,plain,
    p(s2,s2,s0,s2,s0),
    inference(resolution,[status(thm)],[c_502,c_452]) ).

cnf(c_534,plain,
    ( ~ p(s1,s1,s0,s2,s2)
    | ~ neq(s1,s0)
    | ~ neq(s1,s2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

cnf(c_558,plain,
    p(X0,s2,s0,s2,s0),
    inference(resolution,[status(thm)],[c_513,c_49]) ).

cnf(c_579,plain,
    p(s1,s0,s0,s2,s0),
    inference(resolution,[status(thm)],[c_558,c_96]) ).

cnf(c_601,plain,
    ( ~ p(s1,s1,X0,X1,s0)
    | ~ neq(X0,s0)
    | ~ neq(X0,s2)
    | ~ neq(X1,s0)
    | ~ neq(X1,s2)
    | p(s1,s1,X0,X1,s2) ),
    inference(global_subsumption_just,[status(thm)],[c_344,c_59,c_57,c_344]) ).

cnf(c_610,plain,
    p(X0,s0,s0,s2,s0),
    inference(resolution,[status(thm)],[c_579,c_49]) ).

cnf(c_633,plain,
    p(s0,s0,s0,s1,s0),
    inference(resolution,[status(thm)],[c_610,c_474]) ).

cnf(c_636,plain,
    ( ~ p(s1,s1,s1,X0,s0)
    | ~ neq(X0,s0)
    | ~ neq(X0,s2)
    | ~ neq(s1,s2)
    | p(s1,s1,s1,X0,s2) ),
    inference(resolution,[status(thm)],[c_601,c_57]) ).

cnf(c_638,plain,
    ( ~ p(X0,s1,s0,s2,s2)
    | p(s1,s1,s0,s2,s2) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_671,plain,
    p(X0,s0,s0,s1,s0),
    inference(resolution,[status(thm)],[c_633,c_49]) ).

cnf(c_675,plain,
    p(s1,s2,s0,s1,s0),
    inference(resolution,[status(thm)],[c_671,c_120]) ).

cnf(c_730,plain,
    p(X0,s2,s0,s1,s0),
    inference(resolution,[status(thm)],[c_675,c_49]) ).

cnf(c_744,plain,
    p(s2,s2,s1,s1,s0),
    inference(resolution,[status(thm)],[c_730,c_445]) ).

cnf(c_754,plain,
    p(X0,s2,s1,s1,s0),
    inference(resolution,[status(thm)],[c_744,c_49]) ).

cnf(c_792,plain,
    p(s0,s1,s1,s1,s0),
    inference(resolution,[status(thm)],[c_754,c_75]) ).

cnf(c_818,plain,
    p(X0,s1,s1,s1,s0),
    inference(resolution,[status(thm)],[c_792,c_49]) ).

cnf(c_827,plain,
    ( ~ neq(X0,s2)
    | ~ neq(X0,s0)
    | ~ p(s1,s1,s1,X0,s0)
    | p(s1,s1,s1,X0,s2) ),
    inference(global_subsumption_just,[status(thm)],[c_636,c_59,c_636]) ).

cnf(c_828,plain,
    ( ~ p(s1,s1,s1,X0,s0)
    | ~ neq(X0,s0)
    | ~ neq(X0,s2)
    | p(s1,s1,s1,X0,s2) ),
    inference(renaming,[status(thm)],[c_827]) ).

cnf(c_838,plain,
    ( ~ p(X0,X1,s0,s2,s2)
    | ~ neq(X0,X1)
    | ~ neq(X0,s1)
    | p(X0,s1,s0,s2,s2) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_839,plain,
    ( ~ neq(X0,s1)
    | ~ neq(X0,X1)
    | ~ p(X0,X1,s0,s2,s2) ),
    inference(global_subsumption_just,[status(thm)],[c_838,c_59,c_57,c_534,c_638,c_838]) ).

cnf(c_840,plain,
    ( ~ p(X0,X1,s0,s2,s2)
    | ~ neq(X0,X1)
    | ~ neq(X0,s1) ),
    inference(renaming,[status(thm)],[c_839]) ).

cnf(c_875,plain,
    ( ~ p(s1,s1,s1,s1,s0)
    | ~ neq(s1,s2)
    | p(s1,s1,s1,s1,s2) ),
    inference(resolution,[status(thm)],[c_828,c_57]) ).

cnf(c_903,plain,
    ( ~ p(s1,s1,s1,s1,s0)
    | p(s1,s1,s1,s1,s2) ),
    inference(global_subsumption_just,[status(thm)],[c_875,c_59,c_875]) ).

cnf(c_905,plain,
    p(s1,s1,s1,s1,s2),
    inference(resolution,[status(thm)],[c_903,c_818]) ).

cnf(c_915,plain,
    p(X0,s1,s1,s1,s2),
    inference(resolution,[status(thm)],[c_905,c_49]) ).

cnf(c_930,plain,
    p(s0,s2,s1,s1,s2),
    inference(resolution,[status(thm)],[c_915,c_117]) ).

cnf(c_950,plain,
    p(X0,s2,s1,s1,s2),
    inference(resolution,[status(thm)],[c_930,c_49]) ).

cnf(c_973,plain,
    ( ~ p(s2,s0,s0,s2,s2)
    | ~ neq(s2,s0)
    | ~ neq(s2,s1) ),
    inference(instantiation,[status(thm)],[c_840]) ).

cnf(c_994,plain,
    p(s2,s2,s0,s1,s2),
    inference(resolution,[status(thm)],[c_950,c_452]) ).

cnf(c_1010,plain,
    p(X0,s2,s0,s1,s2),
    inference(resolution,[status(thm)],[c_994,c_49]) ).

cnf(c_1043,plain,
    p(s1,s0,s0,s1,s2),
    inference(resolution,[status(thm)],[c_1010,c_96]) ).

cnf(c_1116,plain,
    p(X0,s0,s0,s1,s2),
    inference(resolution,[status(thm)],[c_1043,c_49]) ).

cnf(c_1129,plain,
    ( ~ p(X0,s0,s0,s2,s2)
    | p(s2,s0,s0,s2,s2) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_1130,plain,
    ( ~ p(s0,s0,s0,s2,s2)
    | p(s2,s0,s0,s2,s2) ),
    inference(instantiation,[status(thm)],[c_1129]) ).

cnf(c_1187,plain,
    p(s0,s0,s0,s2,s2),
    inference(resolution,[status(thm)],[c_1116,c_468]) ).

cnf(c_1188,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1187,c_1130,c_973,c_60,c_61]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 22:21:29 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.53/1.15  % SZS status Started for theBenchmark.p
% 0.53/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.53/1.15  
% 0.53/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.53/1.15  
% 0.53/1.15  ------  iProver source info
% 0.53/1.15  
% 0.53/1.15  git: date: 2023-05-31 18:12:56 +0000
% 0.53/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.53/1.15  git: non_committed_changes: false
% 0.53/1.15  git: last_make_outside_of_git: false
% 0.53/1.15  
% 0.53/1.15  ------ Parsing...successful
% 0.53/1.15  
% 0.53/1.15  ------  preprocesses with Option_epr_horn
% 0.53/1.15  
% 0.53/1.15  
% 0.53/1.15  ------ Preprocessing... sf_s  rm: 3 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.53/1.15  
% 0.53/1.15  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 0.53/1.15   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.53/1.15  ------ Proving...
% 0.53/1.15  ------ Problem Properties 
% 0.53/1.15  
% 0.53/1.15  
% 0.53/1.15  clauses                                 13
% 0.53/1.15  conjectures                             1
% 0.53/1.15  EPR                                     13
% 0.53/1.15  Horn                                    13
% 0.53/1.15  unary                                   8
% 0.53/1.15  binary                                  1
% 0.53/1.15  lits                                    38
% 0.53/1.15  lits eq                                 0
% 0.53/1.15  fd_pure                                 0
% 0.53/1.15  fd_pseudo                               0
% 0.53/1.15  fd_cond                                 0
% 0.53/1.15  fd_pseudo_cond                          0
% 0.53/1.15  AC symbols                              0
% 0.53/1.15  
% 0.53/1.15  ------ Schedule EPR Horn non eq is on
% 0.53/1.15  
% 0.53/1.15  ------ no equalities: superposition off 
% 0.53/1.15  
% 0.53/1.15  ------ Option_epr_horn Time Limit: Unbounded
% 0.53/1.15  
% 0.53/1.15  
% 0.53/1.15  ------ 
% 0.53/1.15  Current options:
% 0.53/1.15  ------ 
% 0.53/1.15  
% 0.53/1.15  
% 0.53/1.15  
% 0.53/1.15  
% 0.53/1.15  ------ Proving...
% 0.53/1.15  
% 0.53/1.15  
% 0.53/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.53/1.15  
% 0.53/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.53/1.15  
% 0.53/1.15  
%------------------------------------------------------------------------------