%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT255-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:04:33 PM UTC 2026
% Result : Unsatisfiable 158.48s 28.84s
% Output : CNFRefutation 158.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of clauses : 116 ( 110 unt; 0 nHn; 22 RR)
% Number of literals : 127 ( 126 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 187 ( 44 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(complement_join,axiom,
join(X1,complement(X1)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-4.ax',complement_join) ).
cnf(prove_distributivity_hypothesis,hypothesis,
meet(b,a) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(associativity_of_meet,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
cnf(absorption2,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(associativity_of_join,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
cnf(idempotence_of_join,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_join) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(idempotence_of_meet,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
cnf(complement_meet,axiom,
meet(X1,complement(X1)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-4.ax',complement_meet) ).
cnf(equation_H80,axiom,
meet(X1,join(meet(X1,X2),meet(X3,join(X1,meet(X2,join(X1,X3)))))) = join(meet(X1,X2),meet(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H80) ).
cnf(meet_join_complement,axiom,
( join(X1,X2) != one
| meet(X1,X2) != zero
| complement(X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-4.ax',meet_join_complement) ).
cnf(prove_distributivity,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
cnf(c_0_14,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1 ).
cnf(c_0_15,axiom,
join(X1,complement(X1)) = one,
complement_join ).
cnf(c_0_16,hypothesis,
meet(b,a) = a,
prove_distributivity_hypothesis ).
cnf(c_0_17,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_18,plain,
meet(X1,one) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
associativity_of_meet ).
cnf(c_0_20,hypothesis,
meet(a,b) = a,
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2 ).
cnf(c_0_22,plain,
meet(one,X1) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_23,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join ).
cnf(c_0_24,axiom,
join(X1,X1) = X1,
idempotence_of_join ).
cnf(c_0_25,hypothesis,
meet(a,meet(b,X1)) = meet(a,X1),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_17]) ).
cnf(c_0_27,plain,
join(one,X1) = one,
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
cnf(c_0_28,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_30,hypothesis,
meet(a,join(b,X1)) = a,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_14]),c_0_20]) ).
cnf(c_0_31,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_14]),c_0_23]) ).
cnf(c_0_32,plain,
join(X1,join(complement(X1),X2)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_15]),c_0_27]) ).
cnf(c_0_33,plain,
join(X1,one) = one,
inference(spm,[status(thm)],[c_0_28,c_0_15]) ).
cnf(c_0_34,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_29]) ).
cnf(c_0_35,hypothesis,
join(b,join(X1,a)) = join(b,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_30]),c_0_23]) ).
cnf(c_0_36,axiom,
meet(X1,X1) = X1,
idempotence_of_meet ).
cnf(c_0_37,plain,
join(complement(X1),join(X2,X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_23]) ).
cnf(c_0_38,hypothesis,
meet(join(X1,a),join(b,X1)) = join(X1,a),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_36]) ).
cnf(c_0_40,plain,
join(X1,complement(meet(X2,X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_26]),c_0_29]) ).
cnf(c_0_41,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_42,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_19]) ).
cnf(c_0_43,hypothesis,
meet(join(X1,a),join(X1,b)) = join(X1,a),
inference(spm,[status(thm)],[c_0_38,c_0_29]) ).
cnf(c_0_44,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_39,c_0_17]) ).
cnf(c_0_45,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_46,hypothesis,
join(b,a) = b,
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_47,plain,
join(complement(meet(X1,X2)),meet(join(X1,X3),X2)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_29]) ).
cnf(c_0_48,hypothesis,
meet(join(X1,a),meet(X2,join(X1,b))) = meet(X2,join(X1,a)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_41]),c_0_19]),c_0_44]),c_0_45]) ).
cnf(c_0_50,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_19,c_0_34]) ).
cnf(c_0_51,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_52,hypothesis,
meet(a,meet(X1,b)) = meet(a,X1),
inference(spm,[status(thm)],[c_0_25,c_0_17]) ).
cnf(c_0_53,axiom,
meet(X1,complement(X1)) = zero,
complement_meet ).
cnf(c_0_54,hypothesis,
join(b,join(a,X1)) = join(b,X1),
inference(spm,[status(thm)],[c_0_23,c_0_46]) ).
cnf(c_0_55,hypothesis,
join(complement(meet(X1,X2)),meet(X2,join(X1,a))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_56,plain,
meet(join(X1,X2),meet(join(X2,X1),X3)) = meet(join(X1,X2),X3),
inference(spm,[status(thm)],[c_0_50,c_0_31]) ).
cnf(c_0_57,plain,
meet(join(X1,X2),meet(X3,join(X2,X1))) = meet(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_42,c_0_51]) ).
cnf(c_0_58,hypothesis,
join(meet(X1,b),meet(a,X1)) = meet(X1,b),
inference(spm,[status(thm)],[c_0_26,c_0_52]) ).
cnf(c_0_59,plain,
meet(X1,zero) = zero,
inference(spm,[status(thm)],[c_0_39,c_0_53]) ).
cnf(c_0_60,hypothesis,
join(b,meet(a,X1)) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_21]),c_0_46]) ).
cnf(c_0_61,hypothesis,
join(complement(X1),meet(join(X1,X2),join(X1,a))) = one,
inference(spm,[status(thm)],[c_0_55,c_0_14]) ).
cnf(c_0_62,plain,
meet(X1,join(X2,X3)) = meet(join(X3,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_56]),c_0_57]) ).
cnf(c_0_63,plain,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_64,hypothesis,
join(meet(X1,b),join(meet(a,X1),X2)) = join(meet(X1,b),X2),
inference(spm,[status(thm)],[c_0_23,c_0_58]) ).
cnf(c_0_65,plain,
join(X1,complement(meet(X1,X2))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_21]),c_0_29]) ).
cnf(c_0_66,hypothesis,
meet(join(a,X1),join(b,X1)) = join(a,X1),
inference(spm,[status(thm)],[c_0_34,c_0_54]) ).
cnf(c_0_67,axiom,
meet(X1,join(meet(X1,X2),meet(X3,join(X1,meet(X2,join(X1,X3)))))) = join(meet(X1,X2),meet(X1,X3)),
equation_H80 ).
cnf(c_0_68,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_53]) ).
cnf(c_0_69,hypothesis,
join(b,complement(a)) = join(b,one),
inference(spm,[status(thm)],[c_0_54,c_0_15]) ).
cnf(c_0_70,plain,
meet(X1,complement(join(X1,X2))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_53]),c_0_59]) ).
cnf(c_0_71,plain,
( join(X1,X2) != one
| meet(X1,X2) != zero
| complement(X1) = X2 ),
inference(fof_simplification,[status(thm)],[meet_join_complement]) ).
cnf(c_0_72,hypothesis,
join(b,complement(meet(a,X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_60]),c_0_29]) ).
cnf(c_0_73,hypothesis,
join(complement(X1),meet(join(X1,a),join(X2,X1))) = one,
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_74,hypothesis,
join(b,join(X1,meet(X2,a))) = join(b,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_30]),c_0_23]) ).
cnf(c_0_75,hypothesis,
join(meet(X1,b),complement(meet(a,meet(X1,X2)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_33]),c_0_19]) ).
cnf(c_0_76,hypothesis,
meet(join(a,X1),meet(join(b,X1),X2)) = meet(join(a,X1),X2),
inference(spm,[status(thm)],[c_0_19,c_0_66]) ).
cnf(c_0_77,plain,
meet(X1,join(meet(X1,X2),meet(complement(X1),join(X1,X2)))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_15]),c_0_18]),c_0_53]),c_0_68]) ).
cnf(c_0_78,hypothesis,
join(b,complement(a)) = one,
inference(rw,[status(thm)],[c_0_69,c_0_33]) ).
cnf(c_0_79,plain,
meet(X1,complement(join(X2,X1))) = zero,
inference(spm,[status(thm)],[c_0_70,c_0_29]) ).
cnf(c_0_80,plain,
( join(X1,X2) != one
| meet(X1,X2) != zero
| complement(X1) = X2 ),
c_0_71 ).
cnf(c_0_81,hypothesis,
meet(b,join(meet(b,X1),meet(complement(meet(a,X2)),join(b,X1)))) = join(meet(b,X1),meet(b,complement(meet(a,X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_72]),c_0_18]) ).
cnf(c_0_82,hypothesis,
join(X1,join(a,complement(join(X1,meet(X2,a))))) = one,
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_73,c_0_74]),c_0_23]),c_0_29]),c_0_26]),c_0_38]),c_0_29]),c_0_23]) ).
cnf(c_0_83,hypothesis,
join(b,meet(X1,a)) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_26]),c_0_46]) ).
cnf(c_0_84,hypothesis,
join(meet(b,join(a,X1)),complement(meet(a,X2))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_17]),c_0_41]) ).
cnf(c_0_85,hypothesis,
meet(b,join(complement(b),meet(b,complement(a)))) = meet(b,complement(a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_18]),c_0_29]) ).
cnf(c_0_86,hypothesis,
meet(join(a,X1),complement(join(b,X1))) = zero,
inference(spm,[status(thm)],[c_0_79,c_0_54]) ).
cnf(c_0_87,plain,
( join(X1,X2) != one
| meet(X2,X1) != zero
| complement(X1) = X2 ),
inference(spm,[status(thm)],[c_0_80,c_0_17]) ).
cnf(c_0_88,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_23,c_0_26]) ).
cnf(c_0_89,hypothesis,
join(meet(b,join(a,complement(b))),meet(b,complement(meet(a,X1)))) = b,
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_81,c_0_82]),c_0_83]),c_0_18]),c_0_84]),c_0_18]),c_0_83]) ).
cnf(c_0_90,hypothesis,
meet(a,join(complement(b),meet(b,complement(a)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_85]),c_0_25]),c_0_53]) ).
cnf(c_0_91,plain,
meet(zero,X1) = zero,
inference(spm,[status(thm)],[c_0_17,c_0_59]) ).
cnf(c_0_92,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_23,c_0_21]) ).
cnf(c_0_93,hypothesis,
meet(complement(b),join(a,meet(b,X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_21]),c_0_17]) ).
cnf(c_0_94,plain,
complement(complement(X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_53]),c_0_29]),c_0_15])]) ).
cnf(c_0_95,plain,
join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
inference(spm,[status(thm)],[c_0_23,c_0_29]) ).
cnf(c_0_96,hypothesis,
join(a,join(complement(b),meet(b,complement(meet(a,X1))))) = one,
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_88,c_0_89]),c_0_23]),c_0_29]),c_0_15]),c_0_33]),c_0_23]) ).
cnf(c_0_97,hypothesis,
meet(a,meet(join(complement(b),meet(b,complement(a))),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_90]),c_0_91]) ).
cnf(c_0_98,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_34,c_0_92]),c_0_17]) ).
cnf(c_0_99,plain,
meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_100,plain,
join(X1,join(X2,meet(X3,X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_14]),c_0_23]) ).
cnf(c_0_101,hypothesis,
( join(a,join(complement(b),meet(b,X1))) != one
| join(a,meet(b,X1)) = b ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_93]),c_0_94]),c_0_95]),c_0_29]) ).
cnf(c_0_102,hypothesis,
join(a,join(complement(b),meet(b,complement(a)))) = one,
inference(spm,[status(thm)],[c_0_96,c_0_18]) ).
cnf(c_0_103,hypothesis,
meet(a,join(meet(b,X1),meet(X2,join(b,meet(X1,join(b,X2)))))) = meet(a,join(meet(b,X1),meet(b,X2))),
inference(spm,[status(thm)],[c_0_25,c_0_67]) ).
cnf(c_0_104,hypothesis,
meet(a,join(meet(b,complement(a)),meet(complement(b),X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_29]) ).
cnf(c_0_105,plain,
meet(X1,meet(X2,join(meet(X2,X1),X3))) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_99,c_0_17]) ).
cnf(c_0_106,plain,
join(X1,join(X2,X3)) = join(X3,join(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_100]),c_0_23]),c_0_95]),c_0_88]) ).
cnf(c_0_107,hypothesis,
join(a,meet(b,complement(a))) = b,
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
inference(fof_simplification,[status(thm)],[prove_distributivity]) ).
cnf(c_0_109,hypothesis,
( meet(a,join(meet(b,X1),meet(b,X2))) != zero
| join(a,join(meet(b,X1),meet(X2,join(b,meet(X1,join(b,X2)))))) != one
| join(meet(b,X1),meet(X2,join(b,meet(X1,join(b,X2))))) = complement(a) ),
inference(spm,[status(thm)],[c_0_80,c_0_103]) ).
cnf(c_0_110,hypothesis,
meet(a,join(meet(b,complement(a)),meet(X1,complement(b)))) = zero,
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_111,hypothesis,
join(a,join(X1,meet(b,complement(a)))) = join(X1,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_95]) ).
cnf(c_0_112,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
c_0_108 ).
cnf(c_0_113,hypothesis,
join(complement(b),meet(b,complement(a))) = complement(a),
inference(cn,[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(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_109,c_0_110]),c_0_15]),c_0_18]),c_0_69]),c_0_33]),c_0_18]),c_0_29]),c_0_15]),c_0_18]),c_0_69]),c_0_33]),c_0_18]),c_0_29]),c_0_111]),c_0_29]),c_0_15])]) ).
cnf(c_0_114,negated_conjecture,
join(complement(a),complement(b)) != complement(a),
inference(rw,[status(thm)],[c_0_112,c_0_29]) ).
cnf(c_0_115,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_113]),c_0_29]),c_0_114]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT255-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/5.46 % Computer : n008.cluster.edu
% 0.17/5.46 % Model : x86_64 x86_64
% 0.17/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.46 % Memory : 8046.5625MB
% 0.17/5.46 % OS : Linux 6.8.0-71-generic
% 0.17/5.46 % CPULimit : 300
% 0.17/5.46 % WCLimit : 300
% 0.17/5.46 % DateTime : Sun Sep 20 23:24:17 UTC 2026
% 0.17/5.46 % CPUTime :
% 0.17/5.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/5.52 Running first-order theorem proving
% 0.23/5.52 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 158.48/28.84 % Version: 3.5.1
% 158.48/28.84 % Preprocessing class: FSSSSMSSSSSNFFN.
% 158.48/28.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 158.48/28.84 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 158.48/28.84 % Starting new_bool_3 with 300s (1) cores
% 158.48/28.84 % Starting new_bool_1 with 300s (1) cores
% 158.48/28.84 % Starting sh5l with 300s (1) cores
% 158.48/28.84 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3813296 completed with status 0
% 158.48/28.84 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 158.48/28.84 % Preprocessing class: FSSSSMSSSSSNFFN.
% 158.48/28.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 158.48/28.84 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 158.48/28.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 158.48/28.84 % No SInE strategy applied
% 158.48/28.84 % Search class: FHUPM-FFSF21-DFFFFFNN
% 158.48/28.84 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 158.48/28.84 % Starting SubtermCWHack with 136s (1) cores
% 158.48/28.84 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 158.48/28.84 % Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 158.48/28.84 % Starting new_bool_3 with 136s (1) cores
% 158.48/28.84 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 158.48/28.84 % G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with pid 3813302 completed with status 0
% 158.48/28.84 % Result found by G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S
% 158.48/28.84 % Preprocessing class: FSSSSMSSSSSNFFN.
% 158.48/28.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 158.48/28.84 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 158.48/28.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 158.48/28.84 % No SInE strategy applied
% 158.48/28.84 % Search class: FHUPM-FFSF21-DFFFFFNN
% 158.48/28.84 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 158.48/28.84 % Starting SubtermCWHack with 136s (1) cores
% 158.48/28.84 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 158.48/28.84 % Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 158.48/28.84 % Preprocessing time : 0.002 s
% 158.48/28.84 % Presaturation interreduction done
% 158.48/28.84
% 158.48/28.84 % Proof found!
% 158.48/28.84 % SZS status Unsatisfiable
% 158.48/28.84 % SZS output start CNFRefutation
% See solution above
% 158.48/28.84 % Parsed axioms : 14
% 158.48/28.84 % Removed by relevancy pruning/SinE : 0
% 158.48/28.84 % Initial clauses : 14
% 158.48/28.84 % Removed in clause preprocessing : 0
% 158.48/28.84 % Initial clauses in saturation : 14
% 158.48/28.84 % Processed clauses : 32141
% 158.48/28.84 % ...of these trivial : 15629
% 158.48/28.84 % ...subsumed : 14802
% 158.48/28.84 % ...remaining for further processing : 1710
% 158.48/28.84 % Other redundant clauses eliminated : 0
% 158.48/28.84 % Clauses deleted for lack of memory : 0
% 158.48/28.84 % Backward-subsumed : 15
% 158.48/28.84 % Backward-rewritten : 255
% 158.48/28.84 % Generated clauses : 1040398
% 158.48/28.84 % ...of the previous two non-redundant : 456199
% 158.48/28.84 % ...aggressively subsumed : 0
% 158.48/28.84 % Contextual simplify-reflections : 0
% 158.48/28.84 % Paramodulations : 1040380
% 158.48/28.84 % Factorizations : 0
% 158.48/28.84 % NegExts : 0
% 158.48/28.84 % Equation resolutions : 18
% 158.48/28.84 % Disequality decompositions : 0
% 158.48/28.84 % Total rewrite steps : 3116331
% 158.48/28.84 % ...of those cached : 2761940
% 158.48/28.84 % Propositional unsat checks : 0
% 158.48/28.84 % Propositional check models : 0
% 158.48/28.84 % Propositional check unsatisfiable : 0
% 158.48/28.84 % Propositional clauses : 0
% 158.48/28.84 % Propositional clauses after purity: 0
% 158.48/28.84 % Propositional unsat core size : 0
% 158.48/28.84 % Propositional preprocessing time : 0.000
% 158.48/28.84 % Propositional encoding time : 0.000
% 158.48/28.84 % Propositional solver time : 0.000
% 158.48/28.84 % Success case prop preproc time : 0.000
% 158.48/28.84 % Success case prop encoding time : 0.000
% 158.48/28.84 % Success case prop solver time : 0.000
% 158.48/28.84 % Current number of processed clauses : 1426
% 158.48/28.84 % Positive orientable unit clauses : 1281
% 158.48/28.84 % Positive unorientable unit clauses: 10
% 158.48/28.84 % Negative unit clauses : 1
% 158.48/28.84 % Non-unit-clauses : 134
% 158.48/28.84 % Current number of unprocessed clauses: 423067
% 158.48/28.84 % ...number of literals in the above : 453503
% 158.48/28.84 % Current number of archived formulas : 0
% 158.48/28.84 % Current number of archived clauses : 284
% 158.48/28.84 % Clause-clause subsumption calls (NU) : 18446
% 158.48/28.84 % Rec. Clause-clause subsumption calls : 18446
% 158.48/28.84 % Non-unit clause-clause subsumptions : 6396
% 158.48/28.84 % Unit Clause-clause subsumption calls : 893
% 158.48/28.84 % Rewrite failures with RHS unbound : 0
% 158.48/28.84 % BW rewrite match attempts : 27568
% 158.48/28.84 % BW rewrite match successes : 2602
% 158.48/28.84 % Condensation attempts : 0
% 158.48/28.84 % Condensation successes : 0
% 158.48/28.84 % Termbank termtop insertions : 18862683
% 158.48/28.84 % Search garbage collected termcells : 8
% 158.48/28.84
% 158.48/28.84 % -------------------------------------------------
% 158.48/28.84 % User time : 21.750 s
% 158.48/28.84 % System time : 0.705 s
% 158.48/28.84 % Total time : 22.454 s
% 158.48/28.84 % Maximum resident set size: 3332 pages
% 158.48/28.84
% 158.48/28.84 % -------------------------------------------------
% 158.48/28.84 % User time : 108.252 s
% 158.48/28.84 % System time : 3.606 s
% 158.48/28.84 % Total time : 111.857 s
% 158.48/28.84 % Maximum resident set size: 4608 pages
% 158.48/28.84 % E exiting
%------------------------------------------------------------------------------