TSTP Solution File: PUZ056-2.005 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 : Fri May  3 02:54:45 EDT 2024

% Result   : Unsatisfiable 3.56s 1.15s
% Output   : CNFRefutation 3.56s
% 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_66,plain,
    p(X0,s0,s0,s0,s0),
    inference(resolution,[status(thm)],[c_49,c_63]) ).

cnf(c_68,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_69,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_71,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_72,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_75,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_76,plain,
    ( ~ p(s0,s2,X0,X1,X2)
    | p(s0,s1,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_55,c_68]) ).

cnf(c_78,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_80,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_81,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_83,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_84,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_85,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_86,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_87,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_93,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_97,plain,
    ( ~ p(s1,s2,X0,X1,X2)
    | p(s1,s0,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_69,c_57]) ).

cnf(c_101,plain,
    ( ~ p(s2,s0,X0,X1,X2)
    | p(s2,s1,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_71,c_61]) ).

cnf(c_103,plain,
    p(s2,s1,s0,s0,s0),
    inference(resolution,[status(thm)],[c_101,c_66]) ).

cnf(c_104,plain,
    p(X0,s1,s0,s0,s0),
    inference(resolution,[status(thm)],[c_103,c_49]) ).

cnf(c_107,plain,
    ( ~ p(s2,s1,X0,X1,X2)
    | p(s2,s0,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_72,c_60]) ).

cnf(c_118,plain,
    ( ~ p(s0,s1,X0,X1,X2)
    | p(s0,s2,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_75,c_56]) ).

cnf(c_121,plain,
    ( ~ p(s1,s0,X0,X1,X2)
    | p(s1,s2,X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_78,c_59]) ).

cnf(c_126,plain,
    ( ~ p(X0,s2,s2,s2,s2)
    | p(s2,s2,s2,s2,s2) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_139,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_140,plain,
    ( ~ neq(X0,s2)
    | ~ neq(X0,X1)
    | ~ p(X0,X1,s2,s2,s2) ),
    inference(global_subsumption_just,[status(thm)],[c_139,c_64,c_126,c_139]) ).

cnf(c_141,plain,
    ( ~ p(X0,X1,s2,s2,s2)
    | ~ neq(X0,X1)
    | ~ neq(X0,s2) ),
    inference(renaming,[status(thm)],[c_140]) ).

cnf(c_145,plain,
    ( ~ p(s0,s0,s2,X0,X1)
    | ~ neq(s0,s1)
    | ~ neq(s0,s2)
    | p(s0,s0,s1,X0,X1) ),
    inference(resolution,[status(thm)],[c_80,c_55]) ).

cnf(c_152,plain,
    ( ~ p(s0,s1,s2,s2,s2)
    | ~ neq(s0,s1)
    | ~ neq(s0,s2) ),
    inference(instantiation,[status(thm)],[c_141]) ).

cnf(c_169,plain,
    ( ~ p(s1,s1,s0,X0,X1)
    | ~ neq(s1,s0)
    | ~ neq(s1,s2)
    | p(s1,s1,s2,X0,X1) ),
    inference(resolution,[status(thm)],[c_81,c_59]) ).

cnf(c_203,plain,
    ( ~ p(s2,s2,s0,X0,X1)
    | ~ neq(s2,s0)
    | ~ neq(s2,s1)
    | p(s2,s2,s1,X0,X1) ),
    inference(resolution,[status(thm)],[c_83,c_61]) ).

cnf(c_205,plain,
    ( ~ p(X0,s1,s2,s2,s2)
    | p(s0,s1,s2,s2,s2) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_220,plain,
    ( ~ p(s2,s2,s1,X0,X1)
    | ~ neq(s2,s0)
    | ~ neq(s2,s1)
    | p(s2,s2,s0,X0,X1) ),
    inference(resolution,[status(thm)],[c_84,c_60]) ).

cnf(c_224,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_85,c_56]) ).

cnf(c_230,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_86,c_55]) ).

cnf(c_259,plain,
    ( ~ p(s0,s0,s2,X0,X1)
    | p(s0,s0,s1,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_145,c_56,c_55,c_145]) ).

cnf(c_273,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_87,c_59]) ).

cnf(c_303,plain,
    ( ~ p(s1,s1,s0,X0,X1)
    | p(s1,s1,s2,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_169,c_59,c_57,c_169]) ).

cnf(c_306,plain,
    p(s1,s1,s2,s0,s0),
    inference(resolution,[status(thm)],[c_303,c_104]) ).

cnf(c_307,plain,
    p(X0,s1,s2,s0,s0),
    inference(resolution,[status(thm)],[c_306,c_49]) ).

cnf(c_310,plain,
    p(s2,s0,s2,s0,s0),
    inference(resolution,[status(thm)],[c_307,c_107]) ).

cnf(c_312,plain,
    p(X0,s0,s2,s0,s0),
    inference(resolution,[status(thm)],[c_310,c_49]) ).

cnf(c_320,plain,
    p(s0,s0,s1,s0,s0),
    inference(resolution,[status(thm)],[c_312,c_259]) ).

cnf(c_345,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_93,c_59]) ).

cnf(c_381,plain,
    p(X0,s0,s1,s0,s0),
    inference(resolution,[status(thm)],[c_320,c_49]) ).

cnf(c_386,plain,
    p(s2,s1,s1,s0,s0),
    inference(resolution,[status(thm)],[c_381,c_101]) ).

cnf(c_393,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_394,plain,
    ( ~ p(X0,s1,X1,s2,s2)
    | ~ neq(X0,X1)
    | ~ neq(X0,s2)
    | ~ neq(s1,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_393,c_59,c_56,c_55,c_152,c_205,c_393]) ).

cnf(c_400,plain,
    p(X0,s1,s1,s0,s0),
    inference(resolution,[status(thm)],[c_386,c_49]) ).

cnf(c_446,plain,
    ( ~ p(s2,s2,s0,X0,X1)
    | p(s2,s2,s1,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_61,c_60,c_203]) ).

cnf(c_453,plain,
    ( ~ p(s2,s2,s1,X0,X1)
    | p(s2,s2,s0,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_61,c_60,c_220]) ).

cnf(c_458,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_224,c_56,c_55,c_224]) ).

cnf(c_460,plain,
    ( ~ p(s0,s0,s0,s1,X0)
    | ~ neq(s0,s2)
    | p(s0,s0,s0,s2,X0) ),
    inference(resolution,[status(thm)],[c_458,c_55]) ).

cnf(c_465,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_230,c_56,c_55,c_230]) ).

cnf(c_469,plain,
    ( ~ p(s0,s0,s0,s1,X0)
    | p(s0,s0,s0,s2,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_460,c_56,c_460]) ).

cnf(c_472,plain,
    ( ~ p(s0,s0,s0,s2,X0)
    | ~ neq(s0,s2)
    | p(s0,s0,s0,s1,X0) ),
    inference(resolution,[status(thm)],[c_465,c_55]) ).

cnf(c_475,plain,
    ( ~ p(s0,s0,s0,s2,X0)
    | p(s0,s0,s0,s1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_472,c_56,c_472]) ).

cnf(c_484,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_273,c_59,c_57,c_273]) ).

cnf(c_486,plain,
    ( ~ p(s1,s1,s1,s0,X0)
    | ~ neq(s1,s2)
    | p(s1,s1,s1,s2,X0) ),
    inference(resolution,[status(thm)],[c_484,c_57]) ).

cnf(c_491,plain,
    ( ~ p(s1,s1,s1,s0,X0)
    | p(s1,s1,s1,s2,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_486,c_59,c_486]) ).

cnf(c_494,plain,
    p(s1,s1,s1,s2,s0),
    inference(resolution,[status(thm)],[c_491,c_400]) ).

cnf(c_495,plain,
    p(X0,s1,s1,s2,s0),
    inference(resolution,[status(thm)],[c_494,c_49]) ).

cnf(c_499,plain,
    p(s0,s2,s1,s2,s0),
    inference(resolution,[status(thm)],[c_495,c_118]) ).

cnf(c_503,plain,
    p(X0,s2,s1,s2,s0),
    inference(resolution,[status(thm)],[c_499,c_49]) ).

cnf(c_514,plain,
    p(s2,s2,s0,s2,s0),
    inference(resolution,[status(thm)],[c_503,c_453]) ).

cnf(c_535,plain,
    ( ~ p(s1,s1,s0,s2,s2)
    | ~ neq(s1,s0)
    | ~ neq(s1,s2) ),
    inference(instantiation,[status(thm)],[c_394]) ).

cnf(c_559,plain,
    p(X0,s2,s0,s2,s0),
    inference(resolution,[status(thm)],[c_514,c_49]) ).

cnf(c_580,plain,
    p(s1,s0,s0,s2,s0),
    inference(resolution,[status(thm)],[c_559,c_97]) ).

cnf(c_602,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_345,c_59,c_57,c_345]) ).

cnf(c_611,plain,
    p(X0,s0,s0,s2,s0),
    inference(resolution,[status(thm)],[c_580,c_49]) ).

cnf(c_634,plain,
    p(s0,s0,s0,s1,s0),
    inference(resolution,[status(thm)],[c_611,c_475]) ).

cnf(c_637,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_602,c_57]) ).

cnf(c_639,plain,
    ( ~ p(X0,s1,s0,s2,s2)
    | p(s1,s1,s0,s2,s2) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_672,plain,
    p(X0,s0,s0,s1,s0),
    inference(resolution,[status(thm)],[c_634,c_49]) ).

cnf(c_676,plain,
    p(s1,s2,s0,s1,s0),
    inference(resolution,[status(thm)],[c_672,c_121]) ).

cnf(c_731,plain,
    p(X0,s2,s0,s1,s0),
    inference(resolution,[status(thm)],[c_676,c_49]) ).

cnf(c_745,plain,
    p(s2,s2,s1,s1,s0),
    inference(resolution,[status(thm)],[c_731,c_446]) ).

cnf(c_755,plain,
    p(X0,s2,s1,s1,s0),
    inference(resolution,[status(thm)],[c_745,c_49]) ).

cnf(c_793,plain,
    p(s0,s1,s1,s1,s0),
    inference(resolution,[status(thm)],[c_755,c_76]) ).

cnf(c_819,plain,
    p(X0,s1,s1,s1,s0),
    inference(resolution,[status(thm)],[c_793,c_49]) ).

cnf(c_828,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_637,c_59,c_637]) ).

cnf(c_829,plain,
    ( ~ p(s1,s1,s1,X0,s0)
    | ~ neq(X0,s0)
    | ~ neq(X0,s2)
    | p(s1,s1,s1,X0,s2) ),
    inference(renaming,[status(thm)],[c_828]) ).

cnf(c_839,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_840,plain,
    ( ~ neq(X0,s1)
    | ~ neq(X0,X1)
    | ~ p(X0,X1,s0,s2,s2) ),
    inference(global_subsumption_just,[status(thm)],[c_839,c_59,c_57,c_535,c_639,c_839]) ).

cnf(c_841,plain,
    ( ~ p(X0,X1,s0,s2,s2)
    | ~ neq(X0,X1)
    | ~ neq(X0,s1) ),
    inference(renaming,[status(thm)],[c_840]) ).

cnf(c_876,plain,
    ( ~ p(s1,s1,s1,s1,s0)
    | ~ neq(s1,s2)
    | p(s1,s1,s1,s1,s2) ),
    inference(resolution,[status(thm)],[c_829,c_57]) ).

cnf(c_904,plain,
    ( ~ p(s1,s1,s1,s1,s0)
    | p(s1,s1,s1,s1,s2) ),
    inference(global_subsumption_just,[status(thm)],[c_876,c_59,c_876]) ).

cnf(c_906,plain,
    p(s1,s1,s1,s1,s2),
    inference(resolution,[status(thm)],[c_904,c_819]) ).

cnf(c_916,plain,
    p(X0,s1,s1,s1,s2),
    inference(resolution,[status(thm)],[c_906,c_49]) ).

cnf(c_931,plain,
    p(s0,s2,s1,s1,s2),
    inference(resolution,[status(thm)],[c_916,c_118]) ).

cnf(c_951,plain,
    p(X0,s2,s1,s1,s2),
    inference(resolution,[status(thm)],[c_931,c_49]) ).

cnf(c_974,plain,
    ( ~ p(s2,s0,s0,s2,s2)
    | ~ neq(s2,s0)
    | ~ neq(s2,s1) ),
    inference(instantiation,[status(thm)],[c_841]) ).

cnf(c_995,plain,
    p(s2,s2,s0,s1,s2),
    inference(resolution,[status(thm)],[c_951,c_453]) ).

cnf(c_1011,plain,
    p(X0,s2,s0,s1,s2),
    inference(resolution,[status(thm)],[c_995,c_49]) ).

cnf(c_1044,plain,
    p(s1,s0,s0,s1,s2),
    inference(resolution,[status(thm)],[c_1011,c_97]) ).

cnf(c_1117,plain,
    p(X0,s0,s0,s1,s2),
    inference(resolution,[status(thm)],[c_1044,c_49]) ).

cnf(c_1130,plain,
    ( ~ p(X0,s0,s0,s2,s2)
    | p(s2,s0,s0,s2,s2) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_1131,plain,
    ( ~ p(s0,s0,s0,s2,s2)
    | p(s2,s0,s0,s2,s2) ),
    inference(instantiation,[status(thm)],[c_1130]) ).

cnf(c_1188,plain,
    p(s0,s0,s0,s2,s2),
    inference(resolution,[status(thm)],[c_1117,c_469]) ).

cnf(c_1189,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1188,c_1131,c_974,c_60,c_61]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ056-2.005 : TPTP v8.1.2. Released v3.5.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 21:19:31 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.56/1.15  % SZS status Started for theBenchmark.p
% 3.56/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.56/1.15  
% 3.56/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.56/1.15  
% 3.56/1.15  ------  iProver source info
% 3.56/1.15  
% 3.56/1.15  git: date: 2024-05-02 19:28:25 +0000
% 3.56/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.56/1.15  git: non_committed_changes: false
% 3.56/1.15  
% 3.56/1.15  ------ Parsing...successful
% 3.56/1.15  
% 3.56/1.15  ------  preprocesses with Option_epr_horn
% 3.56/1.15  
% 3.56/1.15  
% 3.56/1.15  ------ Preprocessing... sf_s  rm: 3 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.56/1.15  
% 3.56/1.15  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 3.56/1.15   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.56/1.15  ------ Proving...
% 3.56/1.15  ------ Problem Properties 
% 3.56/1.15  
% 3.56/1.15  
% 3.56/1.15  clauses                                 13
% 3.56/1.15  conjectures                             1
% 3.56/1.15  EPR                                     13
% 3.56/1.15  Horn                                    13
% 3.56/1.15  unary                                   8
% 3.56/1.15  binary                                  1
% 3.56/1.15  lits                                    38
% 3.56/1.15  lits eq                                 0
% 3.56/1.15  fd_pure                                 0
% 3.56/1.15  fd_pseudo                               0
% 3.56/1.15  fd_cond                                 0
% 3.56/1.15  fd_pseudo_cond                          0
% 3.56/1.15  AC symbols                              0
% 3.56/1.15  
% 3.56/1.15  ------ Schedule EPR Horn non eq is on
% 3.56/1.15  
% 3.56/1.15  ------ no equalities: superposition off 
% 3.56/1.15  
% 3.56/1.15  ------ Option_epr_horn Time Limit: Unbounded
% 3.56/1.15  
% 3.56/1.15  
% 3.56/1.15  ------ 
% 3.56/1.15  Current options:
% 3.56/1.15  ------ 
% 3.56/1.15  
% 3.56/1.15  
% 3.56/1.15  
% 3.56/1.15  
% 3.56/1.15  ------ Proving...
% 3.56/1.15  
% 3.56/1.15  
% 3.56/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.56/1.15  
% 3.56/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.56/1.16  
% 3.56/1.16  
%------------------------------------------------------------------------------