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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LAT178-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 01:04:23 PM UTC 2026

% Result   : Unsatisfiable 97.01s 14.71s
% Output   : CNFRefutation 97.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   12
% Syntax   : Number of clauses     :  104 (  90 unt;   0 nHn;  21 RR)
%            Number of literals    :  124 ( 123 equ;  24 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  210 (  26 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(associativity_of_meet,axiom,
    meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).

cnf(idempotence_of_meet,axiom,
    meet(X1,X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).

cnf(absorption2,axiom,
    join(X1,meet(X1,X2)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).

cnf(complement_meet,axiom,
    meet(X1,complement(X1)) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',complement_meet) ).

cnf(absorption1,axiom,
    meet(X1,join(X1,X2)) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).

cnf(complement_join,axiom,
    join(X1,complement(X1)) = one,
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',complement_join) ).

cnf(equation_H1,axiom,
    meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H1) ).

cnf(meet_join_complement,axiom,
    ( join(X1,X2) != one
    | meet(X1,X2) != zero
    | complement(X1) = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',meet_join_complement) ).

cnf(commutativity_of_meet,axiom,
    meet(X1,X2) = meet(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).

cnf(commutativity_of_join,axiom,
    join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).

cnf(associativity_of_join,axiom,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).

cnf(prove_distributivity,negated_conjecture,
    meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).

cnf(c_0_12,axiom,
    meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
    associativity_of_meet ).

cnf(c_0_13,axiom,
    meet(X1,X1) = X1,
    idempotence_of_meet ).

cnf(c_0_14,axiom,
    join(X1,meet(X1,X2)) = X1,
    absorption2 ).

cnf(c_0_15,axiom,
    meet(X1,complement(X1)) = zero,
    complement_meet ).

cnf(c_0_16,axiom,
    meet(X1,join(X1,X2)) = X1,
    absorption1 ).

cnf(c_0_17,axiom,
    join(X1,complement(X1)) = one,
    complement_join ).

cnf(c_0_18,plain,
    meet(X1,meet(X1,X2)) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,axiom,
    meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))),
    equation_H1 ).

cnf(c_0_20,plain,
    join(X1,zero) = X1,
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_21,plain,
    ( join(X1,X2) != one
    | meet(X1,X2) != zero
    | complement(X1) = X2 ),
    inference(fof_simplification,[status(thm)],[meet_join_complement]) ).

cnf(c_0_22,plain,
    meet(X1,one) = X1,
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,axiom,
    meet(X1,X2) = meet(X2,X1),
    commutativity_of_meet ).

cnf(c_0_24,plain,
    meet(X1,zero) = zero,
    inference(spm,[status(thm)],[c_0_18,c_0_15]) ).

cnf(c_0_25,plain,
    meet(X1,join(X2,meet(X3,join(X1,complement(X3))))) = meet(X1,join(X2,meet(X3,X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_20]) ).

cnf(c_0_26,axiom,
    join(X1,X2) = join(X2,X1),
    commutativity_of_join ).

cnf(c_0_27,plain,
    ( join(X1,X2) != one
    | meet(X1,X2) != zero
    | complement(X1) = X2 ),
    c_0_21 ).

cnf(c_0_28,plain,
    meet(one,X1) = X1,
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,plain,
    meet(zero,X1) = zero,
    inference(spm,[status(thm)],[c_0_24,c_0_23]) ).

cnf(c_0_30,plain,
    meet(X1,join(meet(X2,join(X1,complement(X2))),X3)) = meet(X1,join(X3,meet(X2,X1))),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,plain,
    ( join(X1,X2) != one
    | meet(X2,X1) != zero
    | complement(X1) = X2 ),
    inference(spm,[status(thm)],[c_0_27,c_0_23]) ).

cnf(c_0_32,plain,
    join(X1,meet(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_14,c_0_23]) ).

cnf(c_0_33,axiom,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    associativity_of_join ).

cnf(c_0_34,plain,
    join(one,X1) = one,
    inference(spm,[status(thm)],[c_0_16,c_0_28]) ).

cnf(c_0_35,plain,
    meet(X1,meet(complement(X1),X2)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_15]),c_0_29]) ).

cnf(c_0_36,plain,
    meet(X1,meet(X2,X1)) = meet(X2,X1),
    inference(spm,[status(thm)],[c_0_18,c_0_23]) ).

cnf(c_0_37,plain,
    meet(X1,join(meet(X2,X1),complement(meet(X2,join(X1,complement(X2)))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_17]),c_0_22]),c_0_26]) ).

cnf(c_0_38,plain,
    complement(complement(X1)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_15]),c_0_26]),c_0_17])]) ).

cnf(c_0_39,plain,
    join(X1,join(X2,X1)) = join(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_16]),c_0_33]) ).

cnf(c_0_40,plain,
    join(X1,join(complement(X1),X2)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_17]),c_0_34]) ).

cnf(c_0_41,plain,
    join(X1,one) = one,
    inference(spm,[status(thm)],[c_0_34,c_0_26]) ).

cnf(c_0_42,plain,
    meet(X1,meet(X2,complement(X1))) = zero,
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_43,plain,
    meet(X1,join(meet(complement(X2),X1),complement(meet(complement(X2),join(X1,X2))))) = X1,
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_44,plain,
    join(complement(X1),join(X2,X1)) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_33]) ).

cnf(c_0_45,plain,
    ( join(X2,meet(X1,complement(X2))) != one
    | meet(X1,complement(X2)) = complement(X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_42]) ).

cnf(c_0_46,plain,
    meet(X1,join(complement(X1),join(X2,meet(X1,complement(join(complement(X1),X2)))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_22]),c_0_38]),c_0_23]),c_0_26]),c_0_33]) ).

cnf(c_0_47,plain,
    join(complement(X1),join(X2,join(X3,X1))) = one,
    inference(spm,[status(thm)],[c_0_44,c_0_33]) ).

cnf(c_0_48,plain,
    ( join(X2,join(X3,meet(X1,complement(join(X2,X3))))) != one
    | meet(X1,complement(join(X2,X3))) = complement(join(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_33]) ).

cnf(c_0_49,plain,
    join(complement(X1),join(X2,meet(X1,complement(join(complement(X1),X2))))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_46]),c_0_33]),c_0_33]),c_0_47]) ).

cnf(c_0_50,plain,
    meet(X1,complement(join(complement(X1),X2))) = complement(join(complement(X1),X2)),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_51,plain,
    meet(X1,meet(X2,complement(meet(X1,X2)))) = zero,
    inference(spm,[status(thm)],[c_0_15,c_0_12]) ).

cnf(c_0_52,plain,
    join(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_20,c_0_26]) ).

cnf(c_0_53,plain,
    join(X1,complement(join(complement(X1),X2))) = X1,
    inference(spm,[status(thm)],[c_0_14,c_0_50]) ).

cnf(c_0_54,plain,
    meet(X1,meet(X2,complement(meet(X2,X1)))) = zero,
    inference(spm,[status(thm)],[c_0_51,c_0_23]) ).

cnf(c_0_55,plain,
    complement(zero) = one,
    inference(spm,[status(thm)],[c_0_17,c_0_52]) ).

cnf(c_0_56,plain,
    join(X1,complement(join(X2,complement(X1)))) = X1,
    inference(spm,[status(thm)],[c_0_53,c_0_26]) ).

cnf(c_0_57,plain,
    meet(complement(X1),meet(X2,X1)) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_35]),c_0_55]),c_0_22]),c_0_12]) ).

cnf(c_0_58,plain,
    join(X1,complement(meet(X2,X1))) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_32]),c_0_26]) ).

cnf(c_0_59,plain,
    join(complement(X1),complement(join(X2,X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_56,c_0_38]) ).

cnf(c_0_60,plain,
    meet(X1,meet(X2,join(X3,meet(X4,join(meet(X1,X2),meet(X4,X5)))))) = meet(X1,meet(X2,join(X3,meet(X4,join(meet(X1,X2),X5))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_19]),c_0_12]) ).

cnf(c_0_61,plain,
    ( join(complement(X2),meet(X1,X2)) != one
    | meet(X1,X2) = X2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_57]),c_0_38]) ).

cnf(c_0_62,plain,
    meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_16,c_0_12]) ).

cnf(c_0_63,plain,
    join(X1,join(X2,complement(meet(X3,join(X1,X2))))) = one,
    inference(spm,[status(thm)],[c_0_33,c_0_58]) ).

cnf(c_0_64,plain,
    join(complement(X1),complement(meet(X1,X2))) = complement(meet(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_14]),c_0_26]) ).

cnf(c_0_65,plain,
    ( meet(X4,meet(X1,join(X2,meet(X3,join(meet(X4,X1),X5))))) != zero
    | join(X4,meet(X1,join(X2,meet(X3,join(meet(X4,X1),meet(X3,X5)))))) != one
    | complement(meet(X1,join(X2,meet(X3,join(meet(X4,X1),meet(X3,X5)))))) = X4 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_60]),c_0_26]) ).

cnf(c_0_66,plain,
    ( join(meet(X2,X1),complement(meet(X1,join(meet(X2,X1),X3)))) != one
    | meet(X1,join(meet(X2,X1),X3)) = meet(X2,X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_26]) ).

cnf(c_0_67,plain,
    join(X1,complement(meet(X2,join(X1,complement(X2))))) = one,
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_68,plain,
    ( meet(X2,X1) != zero
    | join(X2,X1) != one
    | complement(X1) = X2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_34]),c_0_34]),c_0_22]),c_0_34]),c_0_22]),c_0_22]) ).

cnf(c_0_69,plain,
    join(X1,join(X2,complement(join(X2,X1)))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_26]),c_0_33]) ).

cnf(c_0_70,plain,
    meet(X1,join(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_16,c_0_26]) ).

cnf(c_0_71,plain,
    meet(X1,join(complement(X1),meet(X2,X1))) = meet(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_26]) ).

cnf(c_0_72,plain,
    ( meet(X2,join(X1,complement(join(X1,X2)))) != zero
    | complement(join(X1,complement(join(X1,X2)))) = X2 ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_73,plain,
    complement(one) = zero,
    inference(spm,[status(thm)],[c_0_15,c_0_28]) ).

cnf(c_0_74,plain,
    meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
    inference(spm,[status(thm)],[c_0_12,c_0_70]) ).

cnf(c_0_75,plain,
    meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_16]),c_0_26]) ).

cnf(c_0_76,plain,
    ( meet(X2,join(X1,complement(join(X1,X2)))) != zero
    | join(X1,complement(join(X1,X2))) = complement(X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_69]),c_0_73]),c_0_20]),c_0_73]),c_0_20]),c_0_23]) ).

cnf(c_0_77,plain,
    meet(X1,join(X2,complement(join(X2,X1)))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_78,plain,
    ( meet(X2,X1) != zero
    | join(X1,complement(join(X1,X2))) = complement(X2) ),
    inference(rw,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_79,plain,
    meet(X1,join(complement(X1),meet(X1,X2))) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_71,c_0_23]) ).

cnf(c_0_80,plain,
    meet(complement(X1),complement(join(X1,X2))) = complement(join(X1,X2)),
    inference(spm,[status(thm)],[c_0_50,c_0_38]) ).

cnf(c_0_81,plain,
    ( meet(X1,X2) != zero
    | join(X1,complement(join(X1,X2))) = complement(X2) ),
    inference(spm,[status(thm)],[c_0_78,c_0_23]) ).

cnf(c_0_82,plain,
    meet(X1,complement(join(X1,X2))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_16]),c_0_23]) ).

cnf(c_0_83,plain,
    meet(complement(X1),join(X1,complement(join(X1,X2)))) = complement(join(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_38]) ).

cnf(c_0_84,plain,
    join(X1,complement(join(X1,complement(join(X1,X2))))) = join(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_38]) ).

cnf(c_0_85,plain,
    complement(join(X1,complement(join(X1,X2)))) = meet(complement(X1),join(X1,X2)),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_86,plain,
    join(X1,meet(complement(X1),join(X1,X2))) = join(X1,X2),
    inference(rw,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_87,plain,
    join(X1,join(meet(X2,join(X3,meet(X2,X4))),meet(X3,join(X1,meet(X2,join(X3,X4)))))) = join(X1,meet(X2,join(X3,meet(X2,X4)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_19]),c_0_33]) ).

cnf(c_0_88,plain,
    join(X1,meet(complement(X1),join(X2,X1))) = join(X2,X1),
    inference(spm,[status(thm)],[c_0_86,c_0_26]) ).

cnf(c_0_89,plain,
    meet(complement(X1),join(X1,meet(complement(X1),X2))) = meet(complement(X1),X2),
    inference(spm,[status(thm)],[c_0_79,c_0_38]) ).

cnf(c_0_90,plain,
    join(X1,meet(complement(X1),X2)) = join(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_23]),c_0_15]),c_0_20]),c_0_16]),c_0_26]),c_0_32]),c_0_23]),c_0_15]),c_0_20]) ).

cnf(c_0_91,plain,
    join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
    inference(spm,[status(thm)],[c_0_33,c_0_14]) ).

cnf(c_0_92,plain,
    meet(complement(X1),join(X1,X2)) = meet(complement(X1),X2),
    inference(rw,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_93,plain,
    meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_91]),c_0_23]) ).

cnf(c_0_94,plain,
    meet(X1,join(complement(X1),X2)) = meet(X1,X2),
    inference(spm,[status(thm)],[c_0_92,c_0_38]) ).

cnf(c_0_95,plain,
    join(X1,join(meet(complement(X1),X2),X3)) = join(X1,join(X2,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_90]),c_0_33]) ).

cnf(c_0_96,negated_conjecture,
    meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
    inference(fof_simplification,[status(thm)],[prove_distributivity]) ).

cnf(c_0_97,plain,
    meet(X1,join(meet(X1,X2),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)),
    inference(spm,[status(thm)],[c_0_93,c_0_14]) ).

cnf(c_0_98,plain,
    meet(X1,join(meet(X1,X2),X3)) = meet(X1,join(X2,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_94]),c_0_38]) ).

cnf(c_0_99,negated_conjecture,
    meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
    c_0_96 ).

cnf(c_0_100,plain,
    join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,meet(X1,X3))),
    inference(rw,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_101,negated_conjecture,
    meet(a,join(b,meet(a,c))) != meet(a,join(b,c)),
    inference(rw,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_102,plain,
    meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X3,X2)),
    inference(spm,[status(thm)],[c_0_98,c_0_26]) ).

cnf(c_0_103,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102]),c_0_26])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : LAT178-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.46  % Computer : n026.cluster.edu
% 0.17/0.46  % Model    : x86_64 x86_64
% 0.17/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46  % Memory   : 8046.5625MB
% 0.17/0.46  % OS       : Linux 6.8.0-71-generic
% 0.17/0.46  % CPULimit : 300
% 0.17/0.46  % WCLimit  : 300
% 0.17/0.46  % DateTime : Sun Sep 20 23:20:52 UTC 2026
% 0.17/0.46  % CPUTime  : 
% 0.17/0.46  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.54  Running first-order theorem proving
% 0.23/0.54  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
% 97.01/14.71  % Version: 3.5.1
% 97.01/14.71  % Preprocessing class: FSSSSMSSSSSNFFN.
% 97.01/14.71  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 97.01/14.71  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 97.01/14.71  % Starting new_bool_3 with 300s (1) cores
% 97.01/14.71  % Starting new_bool_1 with 300s (1) cores
% 97.01/14.71  % Starting sh5l with 300s (1) cores
% 97.01/14.71  % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 806623 completed with status 0
% 97.01/14.71  % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 97.01/14.71  % Preprocessing class: FSSSSMSSSSSNFFN.
% 97.01/14.71  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 97.01/14.71  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 97.01/14.71  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 97.01/14.71  % No SInE strategy applied
% 97.01/14.71  % Search class: FHUPM-FFSF21-MFFFFFNN
% 97.01/14.71  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 97.01/14.71  % Starting SubtermCWHack with 136s (1) cores
% 97.01/14.71  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 97.01/14.71  % Starting G-E--_303_C18_F1_URBAN_S0Y with 136s (1) cores
% 97.01/14.71  % Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_S2S with 136s (1) cores
% 97.01/14.71  % Starting new_bool_3 with 136s (1) cores
% 97.01/14.71  % G----_X1276__C12_02_nc_F1_AE_CS_SP_S2S with pid 806632 completed with status 0
% 97.01/14.71  % Result found by G----_X1276__C12_02_nc_F1_AE_CS_SP_S2S
% 97.01/14.71  % Preprocessing class: FSSSSMSSSSSNFFN.
% 97.01/14.71  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 97.01/14.71  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 97.01/14.71  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 97.01/14.71  % No SInE strategy applied
% 97.01/14.71  % Search class: FHUPM-FFSF21-MFFFFFNN
% 97.01/14.71  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 97.01/14.71  % Starting SubtermCWHack with 136s (1) cores
% 97.01/14.71  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 97.01/14.71  % Starting G-E--_303_C18_F1_URBAN_S0Y with 136s (1) cores
% 97.01/14.71  % Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_S2S with 136s (1) cores
% 97.01/14.71  % Preprocessing time       : 0.002 s
% 97.01/14.71  % Presaturation interreduction done
% 97.01/14.71  
% 97.01/14.71  % Proof found!
% 97.01/14.71  % SZS status Unsatisfiable
% 97.01/14.71  % SZS output start CNFRefutation
% See solution above
% 97.01/14.71  % Parsed axioms                        : 13
% 97.01/14.71  % Removed by relevancy pruning/SinE    : 0
% 97.01/14.71  % Initial clauses                      : 13
% 97.01/14.71  % Removed in clause preprocessing      : 0
% 97.01/14.71  % Initial clauses in saturation        : 13
% 97.01/14.71  % Processed clauses                    : 15284
% 97.01/14.71  % ...of these trivial                  : 4149
% 97.01/14.71  % ...subsumed                          : 10209
% 97.01/14.71  % ...remaining for further processing  : 926
% 97.01/14.71  % Other redundant clauses eliminated   : 0
% 97.01/14.71  % Clauses deleted for lack of memory   : 0
% 97.01/14.71  % Backward-subsumed                    : 6
% 97.01/14.71  % Backward-rewritten                   : 370
% 97.01/14.71  % Generated clauses                    : 507742
% 97.01/14.71  % ...of the previous two non-redundant : 311280
% 97.01/14.71  % ...aggressively subsumed             : 0
% 97.01/14.71  % Contextual simplify-reflections      : 0
% 97.01/14.71  % Paramodulations                      : 507700
% 97.01/14.71  % Factorizations                       : 0
% 97.01/14.71  % NegExts                              : 0
% 97.01/14.71  % Equation resolutions                 : 42
% 97.01/14.71  % Disequality decompositions           : 0
% 97.01/14.71  % Total rewrite steps                  : 1072494
% 97.01/14.71  % ...of those cached                   : 879117
% 97.01/14.71  % Propositional unsat checks           : 0
% 97.01/14.71  %    Propositional check models        : 0
% 97.01/14.71  %    Propositional check unsatisfiable : 0
% 97.01/14.71  %    Propositional clauses             : 0
% 97.01/14.71  %    Propositional clauses after purity: 0
% 97.01/14.71  %    Propositional unsat core size     : 0
% 97.01/14.71  %    Propositional preprocessing time  : 0.000
% 97.01/14.71  %    Propositional encoding time       : 0.000
% 97.01/14.71  %    Propositional solver time         : 0.000
% 97.01/14.71  %    Success case prop preproc time    : 0.000
% 97.01/14.71  %    Success case prop encoding time   : 0.000
% 97.01/14.71  %    Success case prop solver time     : 0.000
% 97.01/14.71  % Current number of processed clauses  : 537
% 97.01/14.71  %    Positive orientable unit clauses  : 405
% 97.01/14.71  %    Positive unorientable unit clauses: 10
% 97.01/14.71  %    Negative unit clauses             : 0
% 97.01/14.71  %    Non-unit-clauses                  : 122
% 97.01/14.71  % Current number of unprocessed clauses: 295698
% 97.01/14.71  % ...number of literals in the above   : 357521
% 97.01/14.71  % Current number of archived formulas  : 0
% 97.01/14.71  % Current number of archived clauses   : 389
% 97.01/14.71  % Clause-clause subsumption calls (NU) : 26908
% 97.01/14.71  % Rec. Clause-clause subsumption calls : 26651
% 97.01/14.71  % Non-unit clause-clause subsumptions  : 6603
% 97.01/14.71  % Unit Clause-clause subsumption calls : 758
% 97.01/14.71  % Rewrite failures with RHS unbound    : 0
% 97.01/14.71  % BW rewrite match attempts            : 11833
% 97.01/14.71  % BW rewrite match successes           : 1155
% 97.01/14.71  % Condensation attempts                : 0
% 97.01/14.71  % Condensation successes               : 0
% 97.01/14.71  % Termbank termtop insertions          : 9788798
% 97.01/14.71  % Search garbage collected termcells   : 8
% 97.01/14.71  
% 97.01/14.71  % -------------------------------------------------
% 97.01/14.71  % User time                : 13.388 s
% 97.01/14.71  % System time              : 0.459 s
% 97.01/14.71  % Total time               : 13.847 s
% 97.01/14.71  % Maximum resident set size: 3384 pages
% 97.01/14.71  
% 97.01/14.71  % -------------------------------------------------
% 97.01/14.71  % User time                : 67.188 s
% 97.01/14.71  % System time              : 2.351 s
% 97.01/14.71  % Total time               : 69.539 s
% 97.01/14.71  % Maximum resident set size: 4608 pages
% 97.01/14.71  % E exiting
%------------------------------------------------------------------------------