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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LCL929-1 : TPTP v9.3.1. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:17:44 PM UTC 2026

% Result   : Unsatisfiable 240.39s 31.20s
% Output   : CNFRefutation 240.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   49
%            Number of leaves      :    7
% Syntax   : Number of clauses     :  200 (  45 unt;   0 nHn; 105 RR)
%            Number of literals    :  421 (   0 equ; 224 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  613 (  19 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(modus_ponens,axiom,
    ( ~ p(X1)
    | ~ p(i(X1,X2))
    | p(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens) ).

cnf(axBp,axiom,
    p(i(i(X1,X2),i(i(X2,X3),i(X1,X3)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axBp) ).

cnf(resid2,axiom,
    ( ~ p(i(X1,i(X2,X3)))
    | p(i(f(X1,X2),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',resid2) ).

cnf(axI,axiom,
    p(i(X1,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axI) ).

cnf(resid1,axiom,
    ( ~ p(i(f(X1,X2),X3))
    | p(i(X1,i(X2,X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',resid1) ).

cnf(axL,axiom,
    p(i(i(i(X1,X2),X2),i(i(X2,X1),X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axL) ).

cnf(axK,negated_conjecture,
    ~ p(i(a,i(b,a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axK) ).

cnf(c_0_7,plain,
    ( ~ p(X1)
    | ~ p(i(X1,X2))
    | p(X2) ),
    inference(fof_simplification,[status(thm)],[modus_ponens]) ).

cnf(c_0_8,plain,
    ( ~ p(X1)
    | ~ p(i(X1,X2))
    | p(X2) ),
    c_0_7 ).

cnf(c_0_9,axiom,
    p(i(i(X1,X2),i(i(X2,X3),i(X1,X3)))),
    axBp ).

cnf(c_0_10,plain,
    ( ~ p(i(X3,X1))
    | p(i(i(X1,X2),i(X3,X2))) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,plain,
    ( ~ p(i(X1,X3))
    | ~ p(i(X3,X2))
    | p(i(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_10]) ).

cnf(c_0_12,plain,
    ( ~ p(i(X2,X4))
    | ~ p(i(X1,i(X4,X3)))
    | p(i(X1,i(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_10]) ).

cnf(c_0_13,plain,
    ( ~ p(i(X1,i(X2,X3)))
    | p(i(f(X1,X2),X3)) ),
    inference(fof_simplification,[status(thm)],[resid2]) ).

cnf(c_0_14,plain,
    ( ~ p(i(X4,X1))
    | ~ p(i(X3,X4))
    | p(i(i(X1,X2),i(X3,X2))) ),
    inference(spm,[status(thm)],[c_0_12,c_0_10]) ).

cnf(c_0_15,plain,
    ( ~ p(i(X1,i(X2,X3)))
    | p(i(f(X1,X2),X3)) ),
    c_0_13 ).

cnf(c_0_16,plain,
    ( ~ p(i(X5,X1))
    | ~ p(i(X3,i(X4,X5)))
    | p(i(i(X1,X2),i(f(X3,X4),X2))) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,axiom,
    p(i(X1,X1)),
    axI ).

cnf(c_0_18,plain,
    ( ~ p(i(f(X1,X2),X3))
    | p(i(X1,i(X2,X3))) ),
    inference(fof_simplification,[status(thm)],[resid1]) ).

cnf(c_0_19,axiom,
    p(i(i(i(X1,X2),X2),i(i(X2,X1),X1))),
    axL ).

cnf(c_0_20,plain,
    ( ~ p(i(X4,X1))
    | p(i(i(X1,X2),i(f(i(X3,X4),X3),X2))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,plain,
    ( ~ p(i(f(X1,X2),X3))
    | p(i(X1,i(X2,X3))) ),
    c_0_18 ).

cnf(c_0_22,plain,
    ( ~ p(i(X1,i(i(X3,X2),X2)))
    | p(i(X1,i(i(X2,X3),X3))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_19]) ).

cnf(c_0_23,plain,
    ( ~ p(i(X2,X4))
    | ~ p(i(X4,X3))
    | p(i(f(i(X1,X2),X1),X3)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_20]) ).

cnf(c_0_24,plain,
    p(i(X1,i(X2,f(X1,X2)))),
    inference(spm,[status(thm)],[c_0_21,c_0_17]) ).

cnf(c_0_25,plain,
    ( ~ p(i(i(X3,X2),X1))
    | p(i(i(X1,X2),i(i(X2,X3),X3))) ),
    inference(spm,[status(thm)],[c_0_22,c_0_10]) ).

cnf(c_0_26,plain,
    ( ~ p(i(X2,X3))
    | p(i(f(i(X1,X2),X1),X3)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_17]) ).

cnf(c_0_27,plain,
    ( ~ p(i(i(X4,f(X3,X4)),X1))
    | p(i(i(X1,X2),i(X3,X2))) ),
    inference(spm,[status(thm)],[c_0_14,c_0_24]) ).

cnf(c_0_28,plain,
    ( ~ p(i(X3,X1))
    | ~ p(i(i(X2,X1),X3))
    | p(i(i(X1,X2),X2)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_25]) ).

cnf(c_0_29,plain,
    ( ~ p(i(X2,X3))
    | p(i(i(X1,X2),i(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_26]) ).

cnf(c_0_30,plain,
    p(i(i(i(X1,f(X2,X1)),X3),i(X2,X3))),
    inference(spm,[status(thm)],[c_0_27,c_0_17]) ).

cnf(c_0_31,plain,
    ( ~ p(f(X2,X3))
    | ~ p(i(X2,i(X3,X1)))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_15]) ).

cnf(c_0_32,plain,
    ( ~ p(X2)
    | p(i(X1,f(X2,X1))) ),
    inference(spm,[status(thm)],[c_0_8,c_0_24]) ).

cnf(c_0_33,plain,
    ( ~ p(i(X1,X3))
    | ~ p(i(i(X2,X3),X1))
    | p(i(i(X1,X2),X2)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,plain,
    ( ~ p(i(X1,i(i(X4,f(X2,X4)),X3)))
    | p(i(X1,i(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_30]) ).

cnf(c_0_35,plain,
    ( ~ p(i(X1,i(X4,X2)))
    | p(i(X1,i(i(X2,X3),i(X4,X3)))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_9]) ).

cnf(c_0_36,plain,
    ( ~ p(i(X1,X3))
    | p(i(X1,i(X2,f(X3,X2)))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_24]) ).

cnf(c_0_37,plain,
    ( ~ p(i(i(i(X4,X5),i(X3,X5)),X1))
    | p(i(i(X1,X2),i(i(X3,X4),X2))) ),
    inference(spm,[status(thm)],[c_0_14,c_0_9]) ).

cnf(c_0_38,plain,
    ( ~ p(i(X1,i(X2,i(i(X4,X3),X3))))
    | p(i(f(X1,X2),i(i(X3,X4),X4))) ),
    inference(spm,[status(thm)],[c_0_22,c_0_15]) ).

cnf(c_0_39,plain,
    ( ~ p(i(X4,X3))
    | ~ p(i(X1,i(X2,X4)))
    | p(i(X1,i(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_29]) ).

cnf(c_0_40,plain,
    ( ~ p(i(X3,X2))
    | ~ p(f(i(X2,X1),X3))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_10]) ).

cnf(c_0_41,plain,
    ( ~ p(X1)
    | ~ p(X2)
    | p(f(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_32]) ).

cnf(c_0_42,plain,
    ( ~ p(i(X3,X2))
    | ~ p(i(i(X1,X2),X3))
    | p(i(i(i(X1,X2),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_29]) ).

cnf(c_0_43,plain,
    ( ~ p(i(X1,i(X3,X4)))
    | p(i(X1,i(X2,i(X3,f(X2,X4))))) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_44,plain,
    ( ~ p(i(X4,X3))
    | ~ p(i(X1,X4))
    | p(i(X1,i(X2,f(X3,X2)))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_36]) ).

cnf(c_0_45,plain,
    ( ~ p(i(i(i(X4,X3),X3),X1))
    | p(i(i(X1,X2),i(i(i(X3,X4),X4),X2))) ),
    inference(spm,[status(thm)],[c_0_14,c_0_19]) ).

cnf(c_0_46,plain,
    p(i(i(i(i(X1,X2),i(X3,X2)),X4),i(i(X3,X1),X4))),
    inference(spm,[status(thm)],[c_0_37,c_0_17]) ).

cnf(c_0_47,plain,
    p(i(f(i(i(X1,X2),X3),i(X3,X2)),i(i(X2,X1),X1))),
    inference(spm,[status(thm)],[c_0_38,c_0_9]) ).

cnf(c_0_48,plain,
    ( ~ p(i(X2,X4))
    | ~ p(i(X4,X3))
    | p(i(i(X1,X2),i(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_39,c_0_29]) ).

cnf(c_0_49,plain,
    ( ~ p(X2)
    | ~ p(i(X3,X1))
    | ~ p(i(X2,X3))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_50,plain,
    ( ~ p(i(X4,X5))
    | ~ p(i(i(X3,X5),X1))
    | p(i(i(X1,X2),i(i(X3,X4),X2))) ),
    inference(spm,[status(thm)],[c_0_14,c_0_29]) ).

cnf(c_0_51,plain,
    ( ~ p(X3)
    | ~ p(i(f(X3,i(X1,X2)),X2))
    | p(i(i(i(X1,X2),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_32]) ).

cnf(c_0_52,plain,
    ( ~ p(f(X4,X2))
    | ~ p(i(X4,i(X1,X3)))
    | p(i(X1,f(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_31,c_0_43]) ).

cnf(c_0_53,plain,
    ( ~ p(i(i(X4,f(X1,X4)),X3))
    | p(i(X1,i(X2,f(X3,X2)))) ),
    inference(spm,[status(thm)],[c_0_44,c_0_24]) ).

cnf(c_0_54,plain,
    p(i(i(i(i(X1,X2),X2),X3),i(i(i(X2,X1),X1),X3))),
    inference(spm,[status(thm)],[c_0_45,c_0_17]) ).

cnf(c_0_55,plain,
    ( ~ p(i(i(i(X2,X4),i(X1,X4)),X3))
    | p(i(i(X1,X2),X3)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_46]) ).

cnf(c_0_56,plain,
    p(i(i(i(X1,X2),X3),i(i(X3,X2),i(i(X2,X1),X1)))),
    inference(spm,[status(thm)],[c_0_21,c_0_47]) ).

cnf(c_0_57,plain,
    ( ~ p(i(X4,i(X5,X3)))
    | ~ p(i(X2,f(X4,X5)))
    | p(i(i(X1,X2),i(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_15]) ).

cnf(c_0_58,plain,
    ( ~ p(i(i(X3,X2),X2))
    | ~ p(i(i(i(X2,X3),X3),X1))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_19]) ).

cnf(c_0_59,plain,
    ( ~ p(i(X4,X2))
    | p(i(i(i(X1,X2),X3),i(i(X1,X4),X3))) ),
    inference(spm,[status(thm)],[c_0_50,c_0_17]) ).

cnf(c_0_60,plain,
    ( ~ p(X3)
    | ~ p(i(X3,i(i(X1,X2),X2)))
    | p(i(i(i(X1,X2),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_51,c_0_15]) ).

cnf(c_0_61,plain,
    ( ~ p(f(i(X4,X1),X3))
    | p(i(i(X1,X2),f(X3,i(X4,X2)))) ),
    inference(spm,[status(thm)],[c_0_52,c_0_9]) ).

cnf(c_0_62,plain,
    p(i(X1,i(X2,f(i(X3,f(X1,X3)),X2)))),
    inference(spm,[status(thm)],[c_0_53,c_0_17]) ).

cnf(c_0_63,plain,
    ( ~ p(X2)
    | ~ p(X3)
    | ~ p(i(f(X2,X3),X1))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_32]) ).

cnf(c_0_64,plain,
    ( ~ p(i(i(i(X2,X1),X1),X3))
    | p(i(i(i(X1,X2),X2),X3)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_54]) ).

cnf(c_0_65,plain,
    p(i(i(X1,X2),i(i(i(X1,X3),X3),i(i(X3,X2),X2)))),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_66,plain,
    ( ~ p(X4)
    | ~ p(i(X4,i(X2,X3)))
    | p(i(i(X1,X2),i(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_57,c_0_32]) ).

cnf(c_0_67,plain,
    ( ~ p(i(X2,X3))
    | ~ p(i(i(X3,X1),X1))
    | p(i(i(X1,X2),X3)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_68,plain,
    ( ~ p(i(i(X2,X1),X1))
    | p(i(i(i(X1,X2),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_19]) ).

cnf(c_0_69,plain,
    ( ~ p(i(X4,X3))
    | ~ p(f(i(X2,X4),X1))
    | p(f(X1,i(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_8,c_0_61]) ).

cnf(c_0_70,plain,
    ( ~ p(f(X2,X3))
    | p(f(i(X1,f(X2,X1)),X3)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_62]) ).

cnf(c_0_71,plain,
    ( ~ p(X4)
    | ~ p(i(X4,i(X3,X1)))
    | p(i(i(X1,X2),i(X3,X2))) ),
    inference(spm,[status(thm)],[c_0_8,c_0_35]) ).

cnf(c_0_72,plain,
    ( ~ p(X2)
    | ~ p(X3)
    | ~ p(i(X2,i(X3,X1)))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_15]) ).

cnf(c_0_73,plain,
    p(i(i(i(X1,X2),X2),i(i(i(i(X2,X1),X3),X3),i(i(X3,X1),X1)))),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_74,plain,
    ( ~ p(i(i(X3,X2),X2))
    | p(i(i(X1,i(X2,X3)),i(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_66,c_0_19]) ).

cnf(c_0_75,plain,
    ( ~ p(i(i(X3,X1),X1))
    | ~ p(i(X2,i(X1,X3)))
    | p(i(i(X1,X2),i(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_76,plain,
    ( ~ p(i(i(X1,X3),X4))
    | p(i(i(X1,X2),i(i(X2,X3),X4))) ),
    inference(spm,[status(thm)],[c_0_55,c_0_29]) ).

cnf(c_0_77,plain,
    ( ~ p(f(X4,X1))
    | ~ p(i(f(X4,X2),X3))
    | p(f(X1,i(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_78,plain,
    ( ~ p(i(X1,X4))
    | p(i(i(i(X1,X2),X3),i(i(X4,X2),X3))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_9]) ).

cnf(c_0_79,plain,
    ( ~ p(i(i(X2,X3),X3))
    | ~ p(i(i(i(X3,X2),X1),X1))
    | p(i(i(X1,X2),X2)) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_80,plain,
    ( ~ p(i(i(X3,X2),X2))
    | p(i(i(X1,i(i(X2,X3),X2)),i(X1,X2))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_17])]) ).

cnf(c_0_81,plain,
    ( ~ p(i(i(X1,X3),X3))
    | p(i(i(X1,X2),i(i(X3,X2),X2))) ),
    inference(spm,[status(thm)],[c_0_22,c_0_76]) ).

cnf(c_0_82,plain,
    ( ~ p(f(X4,X1))
    | ~ p(i(X4,i(X2,X3)))
    | p(f(X1,i(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_77,c_0_15]) ).

cnf(c_0_83,plain,
    ( ~ p(f(X1,X3))
    | ~ p(i(X3,X2))
    | p(f(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_40,c_0_70]) ).

cnf(c_0_84,plain,
    ( ~ p(i(X4,X1))
    | ~ p(i(i(X4,X2),X3))
    | p(i(i(X1,X2),X3)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_78]) ).

cnf(c_0_85,plain,
    ( ~ p(i(i(X2,X1),X1))
    | p(i(i(i(i(X1,X2),X1),X2),X2)) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_86,plain,
    ( ~ p(i(i(X2,X1),X1))
    | p(i(i(i(X1,X2),X3),i(i(X1,X3),X3))) ),
    inference(spm,[status(thm)],[c_0_81,c_0_68]) ).

cnf(c_0_87,plain,
    ( ~ p(f(X2,X3))
    | ~ p(i(X4,X1))
    | ~ p(i(X2,i(X3,X4)))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_15]) ).

cnf(c_0_88,plain,
    ( ~ p(f(i(X2,X3),X1))
    | p(f(X1,i(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_82,c_0_17]) ).

cnf(c_0_89,plain,
    ( ~ p(f(X1,X3))
    | p(f(X1,i(X2,f(X3,X2)))) ),
    inference(spm,[status(thm)],[c_0_83,c_0_24]) ).

cnf(c_0_90,plain,
    ( ~ p(X3)
    | ~ p(i(X3,X2))
    | p(i(X1,f(X2,X1))) ),
    inference(spm,[status(thm)],[c_0_8,c_0_36]) ).

cnf(c_0_91,plain,
    ( ~ p(i(i(X2,X3),X3))
    | ~ p(i(i(i(X3,X2),X3),X1))
    | p(i(i(X1,X2),X2)) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_92,plain,
    ( ~ p(i(i(X2,X1),X1))
    | p(i(i(i(X1,X2),X3),i(i(X3,X1),X1))) ),
    inference(spm,[status(thm)],[c_0_22,c_0_86]) ).

cnf(c_0_93,plain,
    ( ~ p(i(X3,X1))
    | ~ p(f(i(X2,X3),X2))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_87,c_0_17]) ).

cnf(c_0_94,plain,
    ( ~ p(f(i(X3,X4),X2))
    | p(f(i(X1,f(X2,X1)),i(X3,X4))) ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_95,plain,
    ( ~ p(i(X2,X4))
    | ~ p(i(X4,X3))
    | p(i(X1,f(i(X2,X3),X1))) ),
    inference(spm,[status(thm)],[c_0_90,c_0_10]) ).

cnf(c_0_96,plain,
    ( ~ p(i(i(X2,X1),X1))
    | p(i(i(i(i(X1,X1),X1),X2),X2)) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_97,plain,
    ( ~ p(f(i(X3,X4),X2))
    | ~ p(i(f(X2,i(X3,X4)),X1))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_98,plain,
    ( ~ p(i(X5,X4))
    | ~ p(i(X2,i(X3,X5)))
    | p(i(X1,f(i(X2,i(X3,X4)),X1))) ),
    inference(spm,[status(thm)],[c_0_95,c_0_29]) ).

cnf(c_0_99,plain,
    ( ~ p(i(i(i(X1,X3),i(X2,X3)),X1))
    | p(i(i(X1,X2),X2)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_9]) ).

cnf(c_0_100,plain,
    p(i(i(i(i(i(X1,X2),X2),i(i(X2,X3),X3)),X4),i(i(X1,X3),X4))),
    inference(spm,[status(thm)],[c_0_37,c_0_56]) ).

cnf(c_0_101,plain,
    ( ~ p(i(i(X3,X1),X1))
    | p(i(i(i(i(X1,X1),X1),X2),i(i(X3,X2),X2))) ),
    inference(spm,[status(thm)],[c_0_81,c_0_96]) ).

cnf(c_0_102,plain,
    ( ~ p(f(i(X3,X4),X2))
    | ~ p(i(X2,i(i(X3,X4),X1)))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_97,c_0_15]) ).

cnf(c_0_103,plain,
    ( ~ p(i(X3,X4))
    | p(i(X1,f(i(i(X2,X3),i(X2,X4)),X1))) ),
    inference(spm,[status(thm)],[c_0_98,c_0_17]) ).

cnf(c_0_104,plain,
    p(i(i(i(i(i(X1,X2),X2),i(X3,X1)),X4),i(i(X3,i(X2,X1)),X4))),
    inference(spm,[status(thm)],[c_0_37,c_0_54]) ).

cnf(c_0_105,plain,
    ( ~ p(i(i(X2,i(X1,X2)),i(X1,X2)))
    | p(i(i(i(X1,X2),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_99,c_0_68]) ).

cnf(c_0_106,plain,
    ( ~ p(i(i(i(X1,X2),X2),X1))
    | p(i(i(X1,i(X2,X1)),i(X2,X1))) ),
    inference(spm,[status(thm)],[c_0_28,c_0_19]) ).

cnf(c_0_107,plain,
    p(i(i(i(i(X1,X2),i(X3,X2)),X1),i(i(X1,X3),X3))),
    inference(spm,[status(thm)],[c_0_22,c_0_46]) ).

cnf(c_0_108,plain,
    ( ~ p(i(i(i(i(X1,X4),X4),i(i(X4,X2),X2)),X3))
    | p(i(i(X1,X2),X3)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_100]) ).

cnf(c_0_109,plain,
    ( ~ p(i(i(X3,X1),X1))
    | p(i(i(i(i(X1,X1),X1),X2),i(i(X2,X3),X3))) ),
    inference(spm,[status(thm)],[c_0_22,c_0_101]) ).

cnf(c_0_110,plain,
    ( ~ p(f(i(X2,X3),i(i(X2,X3),X1)))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_17]) ).

cnf(c_0_111,plain,
    ( ~ p(X4)
    | ~ p(i(X2,X3))
    | p(f(i(i(X1,X2),i(X1,X3)),X4)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_103]) ).

cnf(c_0_112,plain,
    ( ~ p(i(i(i(i(X3,X2),X2),i(X1,X3)),X4))
    | p(i(i(X1,i(X2,X3)),X4)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_104]) ).

cnf(c_0_113,plain,
    ( ~ p(i(i(i(X2,X1),X1),X2))
    | p(i(i(i(X1,X2),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_114,plain,
    ( ~ p(i(X1,i(i(i(X2,X4),i(X3,X4)),X2)))
    | p(i(X1,i(i(X2,X3),X3))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_107]) ).

cnf(c_0_115,plain,
    ( ~ p(i(i(X3,X1),X1))
    | p(i(i(X1,X2),i(i(i(i(X1,X2),X2),X3),X3))) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_116,plain,
    ( ~ p(i(X3,X4))
    | ~ p(i(i(i(X2,X3),i(X2,X4)),X1))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_117,plain,
    ( ~ p(i(i(X1,X3),X4))
    | p(i(i(X1,i(X2,X3)),i(i(i(X3,X2),X2),X4))) ),
    inference(spm,[status(thm)],[c_0_112,c_0_29]) ).

cnf(c_0_118,plain,
    ( ~ p(i(X2,i(i(X2,X1),X1)))
    | p(i(i(i(X1,i(X2,X1)),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_113,c_0_10]) ).

cnf(c_0_119,plain,
    ( ~ p(i(i(i(X1,X2),X1),X1))
    | p(i(i(X1,X2),i(i(i(X1,X2),X1),X1))) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_120,plain,
    ( ~ p(i(X4,X1))
    | ~ p(i(i(i(X2,X4),X1),X3))
    | p(i(i(i(X1,X2),X2),X3)) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_121,plain,
    ( ~ p(i(i(i(X1,X2),X1),X1))
    | p(i(i(i(X1,i(i(X1,X2),X1)),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_122,plain,
    ( ~ p(i(X4,X2))
    | ~ p(i(i(i(X2,X3),i(X4,X3)),X1))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_9]) ).

cnf(c_0_123,plain,
    ( ~ p(i(i(i(X1,X2),X1),X1))
    | p(i(i(i(X1,X1),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_124,plain,
    ( ~ p(i(X1,X3))
    | ~ p(i(i(X2,X3),X3))
    | p(i(i(i(X1,X2),X3),X3)) ),
    inference(spm,[status(thm)],[c_0_122,c_0_92]) ).

cnf(c_0_125,plain,
    ( ~ p(i(i(X2,X1),X1))
    | p(i(i(i(X1,X1),X1),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_17])]) ).

cnf(c_0_126,plain,
    ( ~ p(i(i(X2,i(X1,X2)),i(X1,X2)))
    | p(i(i(X1,i(X1,X2)),i(X1,X2))) ),
    inference(spm,[status(thm)],[c_0_55,c_0_68]) ).

cnf(c_0_127,plain,
    ( ~ p(i(i(X1,X2),X2))
    | p(i(i(i(X1,X1),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_125,c_0_96]) ).

cnf(c_0_128,plain,
    ( ~ p(i(i(i(X2,X1),X1),X2))
    | p(i(i(X1,i(X1,X2)),i(X1,X2))) ),
    inference(spm,[status(thm)],[c_0_126,c_0_106]) ).

cnf(c_0_129,plain,
    ( ~ p(i(i(i(X2,X1),X1),X2))
    | p(i(i(i(X1,X1),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_130,plain,
    ( ~ p(i(X2,i(i(X2,X1),X1)))
    | p(i(i(i(X1,X1),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_129,c_0_10]) ).

cnf(c_0_131,plain,
    ( ~ p(i(X2,X3))
    | p(i(i(i(X1,X2),X2),i(i(X3,X1),X1))) ),
    inference(spm,[status(thm)],[c_0_64,c_0_78]) ).

cnf(c_0_132,plain,
    p(i(i(X1,i(X2,X3)),i(i(X4,X2),i(X1,i(X4,X3))))),
    inference(spm,[status(thm)],[c_0_55,c_0_46]) ).

cnf(c_0_133,plain,
    p(i(i(i(i(f(X1,X2),X3),i(X2,X3)),X4),i(X1,X4))),
    inference(spm,[status(thm)],[c_0_27,c_0_9]) ).

cnf(c_0_134,plain,
    ( ~ p(i(i(X1,X3),X3))
    | p(i(i(X1,X2),i(i(X3,X1),X2))) ),
    inference(spm,[status(thm)],[c_0_71,c_0_19]) ).

cnf(c_0_135,plain,
    ( ~ p(i(i(X2,X1),X1))
    | p(i(i(X1,X2),X2)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_19]) ).

cnf(c_0_136,plain,
    ( ~ p(i(X2,i(i(X1,X2),X2)))
    | p(i(i(i(X1,X1),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_137,plain,
    ( ~ p(i(X4,i(X5,X2)))
    | p(i(i(X1,i(X2,X3)),i(X4,i(X1,i(X5,X3))))) ),
    inference(spm,[status(thm)],[c_0_12,c_0_132]) ).

cnf(c_0_138,plain,
    p(i(i(X1,i(f(X2,X3),X4)),i(X2,i(X1,i(X3,X4))))),
    inference(spm,[status(thm)],[c_0_55,c_0_133]) ).

cnf(c_0_139,plain,
    ( ~ p(i(i(X2,X1),X1))
    | p(i(i(i(X1,X2),X3),i(i(X1,i(X1,X2)),X3))) ),
    inference(spm,[status(thm)],[c_0_134,c_0_68]) ).

cnf(c_0_140,plain,
    ( ~ p(i(i(X1,X2),X2))
    | p(i(i(i(X1,X2),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_29]) ).

cnf(c_0_141,plain,
    ( ~ p(i(i(X2,X1),X1))
    | p(i(i(X1,i(X1,X2)),i(X1,X2))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_68]) ).

cnf(c_0_142,plain,
    ( ~ p(i(i(X1,i(X2,i(X3,X4))),i(X3,X3)))
    | p(i(i(i(X1,X1),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_143,plain,
    ( ~ p(i(i(X1,i(X3,X4)),X5))
    | p(i(i(X1,i(f(X2,X3),X4)),i(X2,X5))) ),
    inference(spm,[status(thm)],[c_0_39,c_0_138]) ).

cnf(c_0_144,plain,
    ( ~ p(i(i(X2,X1),X1))
    | p(i(i(X1,i(X1,X2)),X2)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_139]) ).

cnf(c_0_145,plain,
    ( ~ p(i(i(X2,X1),X1))
    | p(i(i(i(X1,i(X1,X2)),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_146,plain,
    ( ~ p(i(i(X1,i(X2,i(X3,X4))),X3))
    | p(i(i(i(X1,X1),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_147,plain,
    ( ~ p(i(X3,X5))
    | ~ p(i(X2,i(X5,X4)))
    | p(i(i(X1,X2),i(X1,i(X3,X4)))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_10]) ).

cnf(c_0_148,plain,
    p(i(i(X1,X2),i(X3,i(X1,f(X3,X2))))),
    inference(spm,[status(thm)],[c_0_34,c_0_9]) ).

cnf(c_0_149,plain,
    ( ~ p(X3)
    | ~ p(i(X4,X2))
    | ~ p(i(X3,i(X1,X4)))
    | p(i(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_72,c_0_35]) ).

cnf(c_0_150,plain,
    ( ~ p(i(i(X2,X3),X3))
    | ~ p(i(X1,i(X3,i(X3,X2))))
    | p(i(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_11,c_0_144]) ).

cnf(c_0_151,plain,
    ( ~ p(i(i(X2,X1),X1))
    | p(i(i(X1,i(X1,i(X1,X2))),i(X1,i(X1,X2)))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_145]) ).

cnf(c_0_152,plain,
    ( ~ p(i(i(X2,i(i(X1,X3),X4)),X3))
    | p(i(i(i(X1,X1),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_146,c_0_29]) ).

cnf(c_0_153,plain,
    ( ~ p(i(X4,X2))
    | p(i(i(X1,i(X2,X3)),i(X1,i(X4,X3)))) ),
    inference(spm,[status(thm)],[c_0_147,c_0_17]) ).

cnf(c_0_154,plain,
    p(i(i(i(X1,i(X2,f(X1,f(X3,X2)))),X4),i(X3,X4))),
    inference(spm,[status(thm)],[c_0_27,c_0_148]) ).

cnf(c_0_155,plain,
    ( ~ p(i(X4,i(X2,X5)))
    | ~ p(i(i(X4,i(X1,X5)),X3))
    | p(i(i(X1,X2),X3)) ),
    inference(spm,[status(thm)],[c_0_149,c_0_132]) ).

cnf(c_0_156,plain,
    ( ~ p(i(i(X2,X1),X1))
    | p(i(i(X1,i(X1,i(X1,X2))),X2)) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_157,plain,
    ( ~ p(i(X2,i(X1,i(X3,i(X2,X4)))))
    | p(i(i(i(X1,X1),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_158,plain,
    p(i(i(X1,X2),i(X3,i(X1,i(X4,f(X2,f(X3,X4))))))),
    inference(spm,[status(thm)],[c_0_55,c_0_154]) ).

cnf(c_0_159,plain,
    ( ~ p(i(i(X3,X1),X1))
    | ~ p(i(X1,i(X2,i(X1,X3))))
    | p(i(i(X1,X2),X3)) ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_160,plain,
    p(i(i(i(X1,X1),X1),X1)),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_161,plain,
    ( ~ p(i(i(X2,X3),X4))
    | ~ p(i(i(i(X1,X3),X4),X1))
    | p(i(i(X1,X2),X2)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_76]) ).

cnf(c_0_162,plain,
    p(i(i(i(i(i(X1,X2),X3),i(i(X4,X2),X3)),X5),i(i(X1,X4),X5))),
    inference(spm,[status(thm)],[c_0_37,c_0_9]) ).

cnf(c_0_163,plain,
    ( ~ p(i(i(X2,i(X1,X2)),i(X1,X2)))
    | p(i(i(i(X1,X2),i(i(X1,X1),X1)),X2)) ),
    inference(spm,[status(thm)],[c_0_159,c_0_65]) ).

cnf(c_0_164,plain,
    p(i(i(X1,i(X1,X1)),i(X1,X1))),
    inference(spm,[status(thm)],[c_0_135,c_0_160]) ).

cnf(c_0_165,plain,
    ( ~ p(i(i(X4,i(i(X2,X2),X3)),X3))
    | p(i(i(i(i(X1,X2),X3),X4),X4)) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_166,plain,
    p(i(i(i(X1,X1),i(i(X1,X1),X1)),X1)),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_167,plain,
    ( ~ p(i(i(X3,f(X1,X3)),X2))
    | p(i(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_30]) ).

cnf(c_0_168,plain,
    p(i(i(i(i(X1,X2),X2),i(X2,X2)),i(X2,X2))),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_169,plain,
    p(i(X1,i(i(f(X1,i(X2,X3)),X3),i(i(X3,X2),X2)))),
    inference(spm,[status(thm)],[c_0_167,c_0_56]) ).

cnf(c_0_170,plain,
    ( ~ p(i(X2,X4))
    | ~ p(i(i(X1,X4),X3))
    | p(i(i(X1,X2),X3)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_59]) ).

cnf(c_0_171,plain,
    p(i(i(X1,i(X2,X1)),i(X1,X1))),
    inference(spm,[status(thm)],[c_0_55,c_0_168]) ).

cnf(c_0_172,plain,
    ( ~ p(i(i(i(X3,X2),X2),X4))
    | p(i(X1,i(i(f(X1,i(X2,X3)),X3),X4))) ),
    inference(spm,[status(thm)],[c_0_39,c_0_169]) ).

cnf(c_0_173,plain,
    ( ~ p(i(X2,i(X3,X1)))
    | p(i(i(X1,X2),i(X1,X1))) ),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

cnf(c_0_174,plain,
    p(i(X1,i(i(f(X1,i(X2,X2)),X2),X2))),
    inference(spm,[status(thm)],[c_0_172,c_0_160]) ).

cnf(c_0_175,plain,
    ( ~ p(i(X1,i(i(i(X3,X2),X2),X4)))
    | p(i(X1,i(i(i(X2,X3),X3),X4))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_54]) ).

cnf(c_0_176,plain,
    p(i(i(X1,X2),i(X1,X1))),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_177,plain,
    p(i(i(X1,X2),i(i(i(X3,X1),X1),i(i(X3,X2),X2)))),
    inference(spm,[status(thm)],[c_0_175,c_0_65]) ).

cnf(c_0_178,plain,
    ( ~ p(i(i(X2,i(X1,X2)),i(X1,X2)))
    | p(i(i(i(X1,X2),X1),X2)) ),
    inference(spm,[status(thm)],[c_0_55,c_0_144]) ).

cnf(c_0_179,plain,
    ( ~ p(i(X1,i(X2,X2)))
    | ~ p(i(i(i(X1,X2),X2),X2))
    | p(i(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_122,c_0_96]) ).

cnf(c_0_180,plain,
    p(i(X1,i(X2,X2))),
    inference(spm,[status(thm)],[c_0_167,c_0_176]) ).

cnf(c_0_181,plain,
    ( ~ p(i(X3,i(X2,X1)))
    | p(i(i(i(X1,X2),X2),i(X3,X1))) ),
    inference(spm,[status(thm)],[c_0_12,c_0_19]) ).

cnf(c_0_182,plain,
    ( ~ p(i(i(i(X3,X2),X2),X4))
    | p(i(i(X1,X2),i(i(i(X3,X1),X1),X4))) ),
    inference(spm,[status(thm)],[c_0_39,c_0_177]) ).

cnf(c_0_183,plain,
    ( ~ p(i(i(i(X2,X1),X1),X2))
    | p(i(i(i(X1,X2),X1),X2)) ),
    inference(spm,[status(thm)],[c_0_178,c_0_106]) ).

cnf(c_0_184,plain,
    ( ~ p(i(i(i(X1,X2),X2),X2))
    | p(i(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_180])]) ).

cnf(c_0_185,plain,
    ( ~ p(i(i(X3,X1),i(X2,X1)))
    | p(i(i(i(X1,X2),X2),i(i(X1,X3),X3))) ),
    inference(spm,[status(thm)],[c_0_22,c_0_181]) ).

cnf(c_0_186,plain,
    p(i(i(X1,X2),i(i(i(X2,X1),X1),X2))),
    inference(spm,[status(thm)],[c_0_182,c_0_160]) ).

cnf(c_0_187,plain,
    ( ~ p(i(X3,i(X2,X4)))
    | p(i(i(X1,X2),i(X3,i(X1,X4)))) ),
    inference(spm,[status(thm)],[c_0_12,c_0_9]) ).

cnf(c_0_188,plain,
    ( ~ p(i(X2,X3))
    | ~ p(i(X3,X1))
    | ~ p(i(i(X1,X2),X2))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_131]) ).

cnf(c_0_189,plain,
    ( ~ p(i(X2,i(i(X2,X1),X1)))
    | p(i(i(i(X1,i(X2,X1)),X1),i(X2,X1))) ),
    inference(spm,[status(thm)],[c_0_183,c_0_10]) ).

cnf(c_0_190,plain,
    p(i(X1,i(i(X1,X2),X2))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186])]) ).

cnf(c_0_191,plain,
    ( ~ p(i(i(X5,f(X3,X5)),i(X2,X4)))
    | p(i(i(X1,X2),i(X3,i(X1,X4)))) ),
    inference(spm,[status(thm)],[c_0_34,c_0_187]) ).

cnf(c_0_192,negated_conjecture,
    ~ p(i(a,i(b,a))),
    inference(fof_simplification,[status(thm)],[axK]) ).

cnf(c_0_193,plain,
    ( ~ p(i(X3,X1))
    | ~ p(i(i(X1,X2),X2))
    | ~ p(i(i(X1,X2),X3))
    | p(X1) ),
    inference(spm,[status(thm)],[c_0_188,c_0_29]) ).

cnf(c_0_194,plain,
    p(i(i(i(X1,i(X2,X1)),X1),i(X2,X1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_190])]) ).

cnf(c_0_195,plain,
    p(i(i(i(X1,i(X2,X1)),X1),X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_190])]) ).

cnf(c_0_196,plain,
    p(i(i(X1,X2),i(X3,i(X1,X2)))),
    inference(spm,[status(thm)],[c_0_191,c_0_180]) ).

cnf(c_0_197,negated_conjecture,
    ~ p(i(a,i(b,a))),
    c_0_192 ).

cnf(c_0_198,plain,
    p(i(X1,i(X2,X1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]),c_0_196])]) ).

cnf(c_0_199,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_198])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL929-1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.53  % Computer : n018.cluster.edu
% 0.11/0.53  % Model    : x86_64 x86_64
% 0.11/0.53  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.53  % Memory   : 8046.5625MB
% 0.11/0.53  % OS       : Linux 6.8.0-71-generic
% 0.11/0.53  % CPULimit : 300
% 0.11/0.53  % WCLimit  : 300
% 0.11/0.53  % DateTime : Mon Sep 21 01:14:14 UTC 2026
% 0.11/0.53  % CPUTime  : 
% 0.11/0.53  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.57  Running first-order theorem proving
% 0.11/0.57  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 240.39/31.20  % Version: 3.5.1
% 240.39/31.20  % Preprocessing class: FSSSSMSSSSSNFFN.
% 240.39/31.20  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 240.39/31.20  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 240.39/31.20  % Starting new_bool_3 with 300s (1) cores
% 240.39/31.20  % Starting new_bool_1 with 300s (1) cores
% 240.39/31.20  % Starting sh5l with 300s (1) cores
% 240.39/31.20  % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 650994 completed with status 0
% 240.39/31.20  % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 240.39/31.20  % Preprocessing class: FSSSSMSSSSSNFFN.
% 240.39/31.20  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 240.39/31.20  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 240.39/31.20  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 240.39/31.20  % No SInE strategy applied
% 240.39/31.20  % Search class: FHUNS-FFSF22-MFFFFFNN
% 240.39/31.20  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 240.39/31.20  % Starting SubtermCWHack with 136s (1) cores
% 240.39/31.20  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 240.39/31.20  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S00 with 136s (1) cores
% 240.39/31.20  % Starting G-E--_060_C18_F1_PI_AE_CS_SP_S0Y with 136s (1) cores
% 240.39/31.20  % Starting new_bool_3 with 136s (1) cores
% 240.39/31.20  % G-E--_060_C18_F1_PI_AE_CS_SP_S0Y with pid 651003 completed with status 0
% 240.39/31.20  % Result found by G-E--_060_C18_F1_PI_AE_CS_SP_S0Y
% 240.39/31.20  % Preprocessing class: FSSSSMSSSSSNFFN.
% 240.39/31.20  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 240.39/31.20  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 240.39/31.20  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 240.39/31.20  % No SInE strategy applied
% 240.39/31.20  % Search class: FHUNS-FFSF22-MFFFFFNN
% 240.39/31.20  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 240.39/31.20  % Starting SubtermCWHack with 136s (1) cores
% 240.39/31.20  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 240.39/31.20  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S00 with 136s (1) cores
% 240.39/31.20  % Starting G-E--_060_C18_F1_PI_AE_CS_SP_S0Y with 136s (1) cores
% 240.39/31.20  % Preprocessing time       : 0.001 s
% 240.39/31.20  
% 240.39/31.20  % Proof found!
% 240.39/31.20  % SZS status Unsatisfiable
% 240.39/31.20  % SZS output start CNFRefutation
% See solution above
% 240.39/31.20  % Parsed axioms                        : 7
% 240.39/31.20  % Removed by relevancy pruning/SinE    : 0
% 240.39/31.20  % Initial clauses                      : 7
% 240.39/31.20  % Removed in clause preprocessing      : 0
% 240.39/31.20  % Initial clauses in saturation        : 7
% 240.39/31.20  % Processed clauses                    : 56422
% 240.39/31.20  % ...of these trivial                  : 1341
% 240.39/31.20  % ...subsumed                          : 49351
% 240.39/31.20  % ...remaining for further processing  : 5730
% 240.39/31.20  % Other redundant clauses eliminated   : 0
% 240.39/31.20  % Clauses deleted for lack of memory   : 0
% 240.39/31.20  % Backward-subsumed                    : 538
% 240.39/31.20  % Backward-rewritten                   : 239
% 240.39/31.20  % Generated clauses                    : 1683245
% 240.39/31.20  % ...of the previous two non-redundant : 1656852
% 240.39/31.20  % ...aggressively subsumed             : 0
% 240.39/31.20  % Contextual simplify-reflections      : 13
% 240.39/31.20  % Paramodulations                      : 1683245
% 240.39/31.20  % Factorizations                       : 0
% 240.39/31.20  % NegExts                              : 0
% 240.39/31.20  % Equation resolutions                 : 0
% 240.39/31.20  % Disequality decompositions           : 0
% 240.39/31.20  % Total rewrite steps                  : 41011
% 240.39/31.20  % ...of those cached                   : 34676
% 240.39/31.20  % Propositional unsat checks           : 0
% 240.39/31.20  %    Propositional check models        : 0
% 240.39/31.20  %    Propositional check unsatisfiable : 0
% 240.39/31.20  %    Propositional clauses             : 0
% 240.39/31.20  %    Propositional clauses after purity: 0
% 240.39/31.20  %    Propositional unsat core size     : 0
% 240.39/31.20  %    Propositional preprocessing time  : 0.000
% 240.39/31.20  %    Propositional encoding time       : 0.000
% 240.39/31.20  %    Propositional solver time         : 0.000
% 240.39/31.20  %    Success case prop preproc time    : 0.000
% 240.39/31.20  %    Success case prop encoding time   : 0.000
% 240.39/31.20  %    Success case prop solver time     : 0.000
% 240.39/31.20  % Current number of processed clauses  : 4953
% 240.39/31.20  %    Positive orientable unit clauses  : 467
% 240.39/31.20  %    Positive unorientable unit clauses: 0
% 240.39/31.20  %    Negative unit clauses             : 2
% 240.39/31.20  %    Non-unit-clauses                  : 4484
% 240.39/31.20  % Current number of unprocessed clauses: 1574003
% 240.39/31.20  % ...number of literals in the above   : 3813480
% 240.39/31.20  % Current number of archived formulas  : 0
% 240.39/31.20  % Current number of archived clauses   : 777
% 240.39/31.20  % Clause-clause subsumption calls (NU) : 6017763
% 240.39/31.20  % Rec. Clause-clause subsumption calls : 6002847
% 240.39/31.20  % Non-unit clause-clause subsumptions  : 49895
% 240.39/31.20  % Unit Clause-clause subsumption calls : 168731
% 240.39/31.20  % Rewrite failures with RHS unbound    : 0
% 240.39/31.20  % BW rewrite match attempts            : 271640
% 240.39/31.20  % BW rewrite match successes           : 147
% 240.39/31.20  % Condensation attempts                : 0
% 240.39/31.20  % Condensation successes               : 0
% 240.39/31.20  % Termbank termtop insertions          : 29902923
% 240.39/31.20  % Search garbage collected termcells   : 12
% 240.39/31.20  
% 240.39/31.20  % -------------------------------------------------
% 240.39/31.20  % User time                : 28.754 s
% 240.39/31.20  % System time              : 0.974 s
% 240.39/31.20  % Total time               : 29.728 s
% 240.39/31.20  % Maximum resident set size: 3636 pages
% 240.39/31.20  
% 240.39/31.20  % -------------------------------------------------
% 240.39/31.20  % User time                : 144.092 s
% 240.39/31.20  % System time              : 5.361 s
% 240.39/31.20  % Total time               : 149.454 s
% 240.39/31.20  % Maximum resident set size: 4608 pages
% 240.39/31.20  % E exiting
%------------------------------------------------------------------------------