%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT192-1 : 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 : n015.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 01:04:25 PM UTC 2026
% Result : Unsatisfiable 21.88s 3.77s
% Output : CNFRefutation 21.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 12
% Syntax : Number of clauses : 114 ( 108 unt; 0 nHn; 11 RR)
% Number of literals : 124 ( 123 equ; 14 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 238 ( 28 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(equation_H22,axiom,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X2,join(X3,meet(X1,X2))),meet(X3,join(X1,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H22) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
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(idempotence_of_meet,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(absorption2,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(complement_meet,axiom,
meet(X1,complement(X1)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-4.ax',complement_meet) ).
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(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(prove_distributivity,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
cnf(c_0_12,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1 ).
cnf(c_0_13,axiom,
join(X1,complement(X1)) = one,
complement_join ).
cnf(c_0_14,axiom,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(meet(X2,join(X3,meet(X1,X2))),meet(X3,join(X1,X2)))),
equation_H22 ).
cnf(c_0_15,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_16,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
associativity_of_meet ).
cnf(c_0_17,axiom,
meet(X1,X1) = X1,
idempotence_of_meet ).
cnf(c_0_18,plain,
meet(X1,one) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_20,plain,
meet(X1,join(meet(X2,join(X1,X3)),meet(X3,join(X2,meet(X1,X3))))) = join(meet(X1,X3),meet(X1,X2)),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2 ).
cnf(c_0_22,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,axiom,
meet(X1,complement(X1)) = zero,
complement_meet ).
cnf(c_0_24,plain,
( join(X1,X2) != one
| meet(X1,X2) != zero
| complement(X1) = X2 ),
inference(fof_simplification,[status(thm)],[meet_join_complement]) ).
cnf(c_0_25,plain,
meet(one,X1) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,plain,
join(meet(X1,X2),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_12]),c_0_12]),c_0_17]) ).
cnf(c_0_27,plain,
meet(X1,zero) = zero,
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
( join(X1,X2) != one
| meet(X1,X2) != zero
| complement(X1) = X2 ),
c_0_24 ).
cnf(c_0_29,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_30,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join ).
cnf(c_0_31,plain,
join(one,X1) = one,
inference(spm,[status(thm)],[c_0_12,c_0_25]) ).
cnf(c_0_32,plain,
meet(X1,join(meet(X2,X1),meet(X1,meet(X3,join(X2,meet(X1,X3)))))) = join(meet(X1,X3),meet(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_22]),c_0_21]),c_0_16]) ).
cnf(c_0_33,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_35,plain,
( join(X1,X2) != one
| meet(X2,X1) != zero
| complement(X1) = X2 ),
inference(spm,[status(thm)],[c_0_28,c_0_19]) ).
cnf(c_0_36,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_12]),c_0_30]) ).
cnf(c_0_37,plain,
join(X1,join(complement(X1),X2)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_13]),c_0_31]) ).
cnf(c_0_38,plain,
join(X1,one) = one,
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_39,plain,
meet(complement(X1),meet(X2,join(X1,meet(complement(X1),X2)))) = meet(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_32,c_0_23]),c_0_33]),c_0_22]),c_0_19]),c_0_23]),c_0_34]) ).
cnf(c_0_40,plain,
complement(complement(X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_23]),c_0_15]),c_0_13])]) ).
cnf(c_0_41,plain,
join(complement(X1),join(X2,X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_30]) ).
cnf(c_0_42,plain,
meet(X1,meet(X2,join(complement(X1),meet(X1,X2)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)),
inference(spm,[status(thm)],[c_0_16,c_0_19]) ).
cnf(c_0_44,plain,
join(X1,complement(meet(X2,X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_29]),c_0_15]) ).
cnf(c_0_45,plain,
meet(X1,meet(X2,join(complement(X2),meet(X2,X1)))) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_19]) ).
cnf(c_0_46,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_30,c_0_21]) ).
cnf(c_0_47,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_30,c_0_29]) ).
cnf(c_0_48,plain,
meet(X1,join(meet(join(X1,X2),X3),meet(X2,join(X3,meet(X1,X2))))) = join(meet(X1,X2),meet(X1,X3)),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_49,plain,
join(complement(meet(X1,X2)),meet(X1,join(complement(X1),meet(X1,X2)))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_15]) ).
cnf(c_0_50,plain,
join(X1,join(X2,meet(X1,X3))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_36]),c_0_46]) ).
cnf(c_0_51,plain,
join(X1,join(X2,meet(X3,X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_36]),c_0_47]) ).
cnf(c_0_52,plain,
join(meet(X1,complement(meet(X1,X2))),meet(X1,join(complement(X1),meet(X1,X2)))) = X1,
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_48,c_0_49]),c_0_50]),c_0_13]),c_0_25]),c_0_18]),c_0_41]),c_0_18]),c_0_15]) ).
cnf(c_0_53,plain,
meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_54,plain,
join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_30]),c_0_30]) ).
cnf(c_0_55,plain,
join(complement(X1),join(meet(X1,X2),meet(X1,complement(meet(X1,X2))))) = 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_51,c_0_52]),c_0_30]),c_0_15]),c_0_21]),c_0_15]),c_0_13]),c_0_30]) ).
cnf(c_0_56,plain,
meet(X1,meet(X2,join(meet(X2,X1),X3))) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_53,c_0_19]) ).
cnf(c_0_57,plain,
join(X1,join(X2,join(meet(X1,X3),X4))) = join(X1,join(X2,X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_54]),c_0_46]) ).
cnf(c_0_58,plain,
join(complement(X1),join(meet(X2,X1),meet(X1,complement(meet(X2,X1))))) = one,
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_60,plain,
join(X1,join(complement(X2),meet(X2,complement(meet(X1,X2))))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_38]) ).
cnf(c_0_61,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_36]) ).
cnf(c_0_62,plain,
meet(X1,meet(X2,complement(meet(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_23,c_0_16]) ).
cnf(c_0_63,plain,
join(X1,join(X2,meet(complement(X2),complement(meet(X1,complement(X2)))))) = one,
inference(spm,[status(thm)],[c_0_60,c_0_40]) ).
cnf(c_0_64,plain,
join(complement(X1),join(X2,meet(X1,complement(meet(X2,X1))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_60]),c_0_30]),c_0_25]),c_0_15]) ).
cnf(c_0_65,plain,
( join(X2,meet(X1,complement(meet(X2,X1)))) != one
| meet(X1,complement(meet(X2,X1))) = complement(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_62]) ).
cnf(c_0_66,plain,
join(X1,meet(complement(meet(X1,X2)),complement(meet(X1,complement(meet(X1,X2)))))) = one,
inference(spm,[status(thm)],[c_0_46,c_0_63]) ).
cnf(c_0_67,plain,
meet(X1,join(meet(join(X2,X3),join(X1,X4)),meet(X4,join(X2,join(X3,meet(X1,X4)))))) = join(meet(X1,X4),meet(X1,join(X2,X3))),
inference(spm,[status(thm)],[c_0_20,c_0_30]) ).
cnf(c_0_68,plain,
join(complement(X1),join(X2,meet(X1,complement(meet(X1,X2))))) = one,
inference(spm,[status(thm)],[c_0_64,c_0_19]) ).
cnf(c_0_69,plain,
join(X1,complement(meet(X1,X2))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_21]),c_0_15]) ).
cnf(c_0_70,plain,
meet(complement(meet(X1,X2)),complement(meet(X1,complement(meet(X1,X2))))) = complement(X1),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,plain,
join(meet(X1,join(complement(X1),X2)),meet(X1,complement(meet(X1,X2)))) = X1,
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_67,c_0_68]),c_0_69]),c_0_18]),c_0_18]),c_0_30]),c_0_44]),c_0_38]),c_0_18]),c_0_15]) ).
cnf(c_0_72,plain,
meet(X1,complement(meet(X1,complement(meet(X1,X2))))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_70]),c_0_40]),c_0_40]),c_0_19]),c_0_40]) ).
cnf(c_0_73,plain,
join(complement(X1),complement(meet(X1,X2))) = complement(meet(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_70]),c_0_15]) ).
cnf(c_0_74,plain,
join(meet(X1,X2),meet(X1,complement(meet(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_72]) ).
cnf(c_0_75,plain,
join(meet(X1,X2),meet(X2,complement(meet(X1,X2)))) = X2,
inference(spm,[status(thm)],[c_0_74,c_0_56]) ).
cnf(c_0_76,plain,
complement(meet(X1,complement(meet(X1,X2)))) = join(complement(X1),meet(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_72]),c_0_19]),c_0_70]),c_0_15]) ).
cnf(c_0_77,plain,
meet(X1,join(complement(X1),meet(X1,X2))) = meet(X1,X2),
inference(rw,[status(thm)],[c_0_72,c_0_76]) ).
cnf(c_0_78,plain,
meet(complement(X1),complement(meet(X1,X2))) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_70]),c_0_19]) ).
cnf(c_0_79,plain,
meet(X1,join(complement(X1),meet(X2,X1))) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_77,c_0_56]) ).
cnf(c_0_80,plain,
meet(complement(X1),complement(meet(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_78,c_0_56]) ).
cnf(c_0_81,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_16,c_0_59]) ).
cnf(c_0_82,plain,
meet(join(X1,X2),join(X1,complement(join(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_12]),c_0_15]) ).
cnf(c_0_83,plain,
complement(join(complement(X1),meet(X1,X2))) = meet(X1,complement(meet(X1,X2))),
inference(spm,[status(thm)],[c_0_40,c_0_76]) ).
cnf(c_0_84,plain,
meet(complement(X1),complement(join(X1,X2))) = complement(join(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_12]),c_0_19]) ).
cnf(c_0_85,plain,
meet(X1,join(X2,complement(join(X2,X1)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_86,plain,
complement(join(X1,complement(join(X1,X2)))) = meet(complement(X1),join(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_40]),c_0_40]) ).
cnf(c_0_87,plain,
join(X1,join(X2,complement(join(X1,X2)))) = one,
inference(spm,[status(thm)],[c_0_13,c_0_30]) ).
cnf(c_0_88,plain,
join(X1,meet(X2,complement(meet(X2,X1)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_47,c_0_74]) ).
cnf(c_0_89,plain,
( meet(X2,X1) != zero
| meet(complement(X1),join(X1,X2)) = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_85]),c_0_86]),c_0_30]),c_0_15]),c_0_87])]) ).
cnf(c_0_90,plain,
complement(meet(X1,complement(meet(X2,X1)))) = join(complement(X1),meet(X2,X1)),
inference(spm,[status(thm)],[c_0_76,c_0_56]) ).
cnf(c_0_91,plain,
join(X1,meet(X2,complement(meet(X1,X2)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_88,c_0_19]) ).
cnf(c_0_92,plain,
meet(join(X1,X2),join(complement(X2),meet(X1,X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_62]),c_0_90]),c_0_15]),c_0_91]),c_0_19]) ).
cnf(c_0_93,plain,
join(complement(X1),meet(X2,X1)) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_92]),c_0_30]),c_0_26]) ).
cnf(c_0_94,plain,
meet(X1,join(complement(X1),X2)) = meet(X2,X1),
inference(rw,[status(thm)],[c_0_79,c_0_93]) ).
cnf(c_0_95,plain,
join(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_96,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_97,plain,
meet(complement(X1),join(X1,X2)) = meet(X2,complement(X1)),
inference(spm,[status(thm)],[c_0_94,c_0_40]) ).
cnf(c_0_98,plain,
join(complement(X1),join(meet(X2,X1),X3)) = join(complement(X1),join(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_93]),c_0_30]) ).
cnf(c_0_99,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_100,plain,
join(meet(X1,X2),meet(X2,X1)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_17]),c_0_16]),c_0_96]),c_0_16]),c_0_96]) ).
cnf(c_0_101,plain,
meet(X1,join(meet(X2,X1),X3)) = meet(join(X2,X3),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_40]),c_0_94]),c_0_40]),c_0_19]) ).
cnf(c_0_102,plain,
meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_16,c_0_59]) ).
cnf(c_0_103,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_99,c_0_19]) ).
cnf(c_0_104,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
inference(fof_simplification,[status(thm)],[prove_distributivity]) ).
cnf(c_0_105,plain,
join(meet(X1,X2),join(X3,meet(X2,X1))) = join(meet(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_100]),c_0_36]) ).
cnf(c_0_106,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X3,meet(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_101]),c_0_102]),c_0_19]) ).
cnf(c_0_107,plain,
join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_103]),c_0_15]) ).
cnf(c_0_108,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
c_0_104 ).
cnf(c_0_109,plain,
join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(X1,meet(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).
cnf(c_0_110,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(join(X3,X2),X1),
inference(spm,[status(thm)],[c_0_101,c_0_15]) ).
cnf(c_0_111,negated_conjecture,
meet(a,join(c,meet(a,b))) != meet(a,join(b,c)),
inference(rw,[status(thm)],[c_0_108,c_0_106]) ).
cnf(c_0_112,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(join(X2,X3),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_94]),c_0_109]),c_0_110]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112]),c_0_15]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT192-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n015.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 20 23:22:50 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.53 Running first-order theorem proving
% 0.22/0.53 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
% 21.88/3.77 % Version: 3.5.1
% 21.88/3.77 % Preprocessing class: FSSSSMSSSSSNFFN.
% 21.88/3.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.88/3.77 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 21.88/3.77 % Starting new_bool_3 with 300s (1) cores
% 21.88/3.77 % Starting new_bool_1 with 300s (1) cores
% 21.88/3.77 % Starting sh5l with 300s (1) cores
% 21.88/3.77 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 4161890 completed with status 0
% 21.88/3.77 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 21.88/3.77 % Preprocessing class: FSSSSMSSSSSNFFN.
% 21.88/3.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.88/3.77 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 21.88/3.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.88/3.77 % No SInE strategy applied
% 21.88/3.77 % Search class: FHUPM-FFSF21-MFFFFFNN
% 21.88/3.77 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 21.88/3.77 % Starting SubtermCWHack with 136s (1) cores
% 21.88/3.77 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 21.88/3.77 % Starting G-E--_303_C18_F1_URBAN_S0Y with 136s (1) cores
% 21.88/3.77 % Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_S2S with 136s (1) cores
% 21.88/3.77 % Starting new_bool_3 with 136s (1) cores
% 21.88/3.77 % G----_X1276__C12_02_nc_F1_AE_CS_SP_S2S with pid 4161900 completed with status 0
% 21.88/3.77 % Result found by G----_X1276__C12_02_nc_F1_AE_CS_SP_S2S
% 21.88/3.77 % Preprocessing class: FSSSSMSSSSSNFFN.
% 21.88/3.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.88/3.77 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 21.88/3.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.88/3.77 % No SInE strategy applied
% 21.88/3.77 % Search class: FHUPM-FFSF21-MFFFFFNN
% 21.88/3.77 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 21.88/3.77 % Starting SubtermCWHack with 136s (1) cores
% 21.88/3.77 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 21.88/3.77 % Starting G-E--_303_C18_F1_URBAN_S0Y with 136s (1) cores
% 21.88/3.77 % Starting G----_X1276__C12_02_nc_F1_AE_CS_SP_S2S with 136s (1) cores
% 21.88/3.77 % Preprocessing time : 0.002 s
% 21.88/3.77 % Presaturation interreduction done
% 21.88/3.77
% 21.88/3.77 % Proof found!
% 21.88/3.77 % SZS status Unsatisfiable
% 21.88/3.77 % SZS output start CNFRefutation
% See solution above
% 21.88/3.77 % Parsed axioms : 13
% 21.88/3.77 % Removed by relevancy pruning/SinE : 0
% 21.88/3.77 % Initial clauses : 13
% 21.88/3.77 % Removed in clause preprocessing : 0
% 21.88/3.77 % Initial clauses in saturation : 13
% 21.88/3.77 % Processed clauses : 4912
% 21.88/3.77 % ...of these trivial : 1610
% 21.88/3.77 % ...subsumed : 2751
% 21.88/3.77 % ...remaining for further processing : 551
% 21.88/3.77 % Other redundant clauses eliminated : 0
% 21.88/3.77 % Clauses deleted for lack of memory : 0
% 21.88/3.77 % Backward-subsumed : 0
% 21.88/3.77 % Backward-rewritten : 271
% 21.88/3.77 % Generated clauses : 122970
% 21.88/3.77 % ...of the previous two non-redundant : 71105
% 21.88/3.77 % ...aggressively subsumed : 0
% 21.88/3.77 % Contextual simplify-reflections : 0
% 21.88/3.77 % Paramodulations : 122940
% 21.88/3.77 % Factorizations : 0
% 21.88/3.77 % NegExts : 0
% 21.88/3.77 % Equation resolutions : 30
% 21.88/3.77 % Disequality decompositions : 0
% 21.88/3.77 % Total rewrite steps : 326839
% 21.88/3.77 % ...of those cached : 277477
% 21.88/3.77 % Propositional unsat checks : 0
% 21.88/3.77 % Propositional check models : 0
% 21.88/3.77 % Propositional check unsatisfiable : 0
% 21.88/3.77 % Propositional clauses : 0
% 21.88/3.77 % Propositional clauses after purity: 0
% 21.88/3.77 % Propositional unsat core size : 0
% 21.88/3.77 % Propositional preprocessing time : 0.000
% 21.88/3.77 % Propositional encoding time : 0.000
% 21.88/3.77 % Propositional solver time : 0.000
% 21.88/3.77 % Success case prop preproc time : 0.000
% 21.88/3.77 % Success case prop encoding time : 0.000
% 21.88/3.77 % Success case prop solver time : 0.000
% 21.88/3.77 % Current number of processed clauses : 267
% 21.88/3.77 % Positive orientable unit clauses : 169
% 21.88/3.77 % Positive unorientable unit clauses: 6
% 21.88/3.77 % Negative unit clauses : 0
% 21.88/3.77 % Non-unit-clauses : 92
% 21.88/3.77 % Current number of unprocessed clauses: 65839
% 21.88/3.77 % ...number of literals in the above : 73238
% 21.88/3.77 % Current number of archived formulas : 0
% 21.88/3.77 % Current number of archived clauses : 284
% 21.88/3.77 % Clause-clause subsumption calls (NU) : 6972
% 21.88/3.77 % Rec. Clause-clause subsumption calls : 6905
% 21.88/3.77 % Non-unit clause-clause subsumptions : 1485
% 21.88/3.77 % Unit Clause-clause subsumption calls : 175
% 21.88/3.77 % Rewrite failures with RHS unbound : 0
% 21.88/3.77 % BW rewrite match attempts : 3342
% 21.88/3.77 % BW rewrite match successes : 565
% 21.88/3.77 % Condensation attempts : 0
% 21.88/3.77 % Condensation successes : 0
% 21.88/3.77 % Termbank termtop insertions : 1913484
% 21.88/3.77 % Search garbage collected termcells : 8
% 21.88/3.77
% 21.88/3.77 % -------------------------------------------------
% 21.88/3.77 % User time : 2.969 s
% 21.88/3.77 % System time : 0.129 s
% 21.88/3.77 % Total time : 3.098 s
% 21.88/3.77 % Maximum resident set size: 3640 pages
% 21.88/3.77
% 21.88/3.77 % -------------------------------------------------
% 21.88/3.77 % User time : 14.718 s
% 21.88/3.77 % System time : 0.634 s
% 21.88/3.77 % Total time : 15.352 s
% 21.88/3.77 % Maximum resident set size: 4608 pages
% 21.88/3.77 % E exiting
%------------------------------------------------------------------------------