%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LAT005-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 01:05:18 PM UTC 2026
% Result : Unsatisfiable 110.74s 21.81s
% Output : CNFRefutation 110.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 16
% Syntax : Number of clauses : 126 ( 116 unt; 0 nHn; 31 RR)
% Number of literals : 136 ( 125 equ; 14 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 215 ( 52 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(modular,axiom,
( meet(X1,X2) != X1
| meet(X2,join(X1,X3)) = join(X1,meet(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-1.ax',modular) ).
cnf(complement_meet,axiom,
( ~ complement(X1,X2)
| meet(X1,X2) = n0 ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-2.ax',complement_meet) ).
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(complement_of_a_join_b,hypothesis,
complement(r1,join(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_a_join_b) ).
cnf(complement_join,axiom,
( ~ complement(X1,X2)
| join(X1,X2) = n1 ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-2.ax',complement_join) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(absorption2,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
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(x_join_0,axiom,
join(X1,n0) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-1.ax',x_join_0) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(idempotence_of_meet,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',idempotence_of_meet) ).
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(complement_of_a_meet_b,hypothesis,
complement(r2,meet(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_a_meet_b) ).
cnf(x_meet_1,axiom,
meet(X1,n1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-1.ax',x_meet_1) ).
cnf(x_meet_0,axiom,
meet(X1,n0) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-1.ax',x_meet_0) ).
cnf(prove_lemma,negated_conjecture,
r1 != meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lemma) ).
cnf(c_0_16,plain,
( meet(X1,X2) != X1
| meet(X2,join(X1,X3)) = join(X1,meet(X3,X2)) ),
inference(fof_simplification,[status(thm)],[modular]) ).
cnf(c_0_17,plain,
( ~ complement(X1,X2)
| meet(X1,X2) = n0 ),
inference(fof_simplification,[status(thm)],[complement_meet]) ).
cnf(c_0_18,plain,
( meet(X1,X2) != X1
| meet(X2,join(X1,X3)) = join(X1,meet(X3,X2)) ),
c_0_16 ).
cnf(c_0_19,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1 ).
cnf(c_0_20,plain,
( ~ complement(X1,X2)
| meet(X1,X2) = n0 ),
c_0_17 ).
cnf(c_0_21,hypothesis,
complement(r1,join(a,b)),
complement_of_a_join_b ).
cnf(c_0_22,plain,
( ~ complement(X1,X2)
| join(X1,X2) = n1 ),
inference(fof_simplification,[status(thm)],[complement_join]) ).
cnf(c_0_23,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_24,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2 ).
cnf(c_0_25,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
associativity_of_meet ).
cnf(c_0_26,plain,
join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X3),join(X1,X2)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,hypothesis,
meet(r1,join(a,b)) = n0,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,axiom,
join(X1,n0) = X1,
x_join_0 ).
cnf(c_0_29,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_30,axiom,
meet(X1,X1) = X1,
idempotence_of_meet ).
cnf(c_0_31,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join ).
cnf(c_0_32,plain,
( ~ complement(X1,X2)
| join(X1,X2) = n1 ),
c_0_22 ).
cnf(c_0_33,hypothesis,
complement(r2,meet(a,b)),
complement_of_a_meet_b ).
cnf(c_0_34,axiom,
meet(X1,n1) = X1,
x_meet_1 ).
cnf(c_0_35,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_36,plain,
join(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_37,hypothesis,
meet(join(r1,a),join(a,b)) = a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_23]),c_0_29]) ).
cnf(c_0_38,plain,
meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_39,plain,
( meet(X3,X1) != X1
| join(X1,meet(X2,X3)) = meet(X3,join(X1,X2)) ),
inference(spm,[status(thm)],[c_0_18,c_0_29]) ).
cnf(c_0_40,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_25,c_0_30]) ).
cnf(c_0_41,plain,
join(X1,join(X2,meet(join(X1,X2),X3))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_24,c_0_31]) ).
cnf(c_0_42,hypothesis,
join(r2,meet(a,b)) = n1,
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_43,plain,
meet(n1,X1) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_29]) ).
cnf(c_0_44,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_24]),c_0_25]) ).
cnf(c_0_45,plain,
meet(X1,X2) = meet(X2,X1),
c_0_29 ).
cnf(c_0_46,plain,
join(X1,X2) = join(X2,X1),
c_0_23 ).
cnf(c_0_47,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
c_0_25 ).
cnf(c_0_48,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
c_0_31 ).
cnf(c_0_49,hypothesis,
join(a,meet(join(r1,a),meet(join(a,b),X1))) = a,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_50,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_24,c_0_29]) ).
cnf(c_0_51,plain,
meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_38,c_0_23]) ).
cnf(c_0_52,plain,
join(meet(X1,X2),meet(X3,X1)) = meet(X1,join(meet(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_53,hypothesis,
join(r2,join(meet(a,b),X1)) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_54,plain,
join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(meet(X1,X2),X3)),
inference(ar,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_44]),c_0_45,c_0_46,c_0_47,c_0_48]) ).
cnf(c_0_55,hypothesis,
join(a,meet(join(r1,a),meet(X1,join(a,b)))) = a,
inference(spm,[status(thm)],[c_0_49,c_0_29]) ).
cnf(c_0_56,plain,
meet(X1,join(X2,meet(X1,join(X3,meet(X2,X1))))) = meet(X1,join(X3,meet(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_23]) ).
cnf(c_0_57,hypothesis,
join(r2,meet(b,join(meet(a,b),X1))) = n1,
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,hypothesis,
join(a,meet(b,join(r1,a))) = a,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_35]),c_0_29]) ).
cnf(c_0_59,plain,
meet(join(X1,X2),join(X1,join(X2,X3))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_31]) ).
cnf(c_0_60,hypothesis,
meet(b,join(meet(a,b),meet(b,r2))) = b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_34]),c_0_29]) ).
cnf(c_0_61,hypothesis,
meet(b,join(r1,a)) = meet(a,b),
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_58]),c_0_25]),c_0_29]),c_0_35]),c_0_29]) ).
cnf(c_0_62,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_25,c_0_35]) ).
cnf(c_0_63,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_31,c_0_24]) ).
cnf(c_0_64,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)),
inference(spm,[status(thm)],[c_0_25,c_0_29]) ).
cnf(c_0_65,plain,
meet(join(X1,X2),join(X1,join(X3,X2))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_23]) ).
cnf(c_0_66,hypothesis,
join(meet(a,b),meet(b,r2)) = 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_50,c_0_60]),c_0_31]),c_0_23]),c_0_24]),c_0_23]),c_0_50]) ).
cnf(c_0_67,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_19]),c_0_31]) ).
cnf(c_0_68,plain,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_25]) ).
cnf(c_0_69,hypothesis,
meet(join(r1,a),join(r1,b)) = join(r1,meet(a,b)),
inference(spm,[status(thm)],[c_0_26,c_0_61]) ).
cnf(c_0_70,plain,
meet(join(X1,X2),meet(X3,join(meet(X1,X4),X2))) = meet(join(meet(X1,X4),X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_71,hypothesis,
meet(b,join(meet(a,b),join(X1,meet(b,r2)))) = b,
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,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_31,c_0_67]),c_0_31]),c_0_31]) ).
cnf(c_0_73,hypothesis,
join(r1,join(b,meet(X1,join(r1,meet(a,b))))) = join(r1,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_31]) ).
cnf(c_0_74,hypothesis,
meet(b,join(a,join(X1,meet(b,r2)))) = b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_29]),c_0_71]),c_0_29]) ).
cnf(c_0_75,hypothesis,
join(r2,join(X1,meet(a,b))) = n1,
inference(spm,[status(thm)],[c_0_53,c_0_23]) ).
cnf(c_0_76,hypothesis,
join(b,meet(join(r1,meet(a,b)),join(r1,X1))) = join(r1,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_67]),c_0_23]),c_0_26]) ).
cnf(c_0_77,hypothesis,
meet(b,join(a,meet(r2,join(b,meet(r2,X1))))) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_52]),c_0_23]) ).
cnf(c_0_78,hypothesis,
join(b,r2) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_50]),c_0_23]) ).
cnf(c_0_79,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_23]),c_0_31]) ).
cnf(c_0_80,hypothesis,
join(b,meet(join(r1,meet(a,b)),join(X1,r1))) = join(r1,b),
inference(spm,[status(thm)],[c_0_76,c_0_23]) ).
cnf(c_0_81,hypothesis,
meet(b,join(a,meet(r2,join(b,X1)))) = b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_26]),c_0_78]),c_0_34]) ).
cnf(c_0_82,hypothesis,
join(b,join(X1,meet(join(r1,meet(a,b)),join(X2,r1)))) = join(X1,join(r1,b)),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_83,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_29]),c_0_25]) ).
cnf(c_0_84,hypothesis,
meet(b,join(a,meet(r2,join(X1,join(r1,b))))) = b,
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_85,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_86,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_83,c_0_35]) ).
cnf(c_0_87,hypothesis,
meet(b,join(a,meet(r2,join(r1,join(b,X1))))) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_23]),c_0_31]) ).
cnf(c_0_88,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_35]),c_0_19]) ).
cnf(c_0_89,plain,
join(n0,X1) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_23]) ).
cnf(c_0_90,plain,
join(X1,meet(X2,meet(X3,join(X1,X4)))) = meet(join(X1,X4),join(X1,meet(X2,X3))),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_91,hypothesis,
meet(b,meet(r2,join(r1,join(b,X1)))) = meet(b,r2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_25]),c_0_29]),c_0_88]),c_0_29]) ).
cnf(c_0_92,hypothesis,
meet(r1,meet(join(a,b),X1)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_27]),c_0_89]) ).
cnf(c_0_93,hypothesis,
meet(join(r1,meet(b,r2)),join(r1,join(b,X1))) = join(r1,meet(b,r2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_29]) ).
cnf(c_0_94,hypothesis,
meet(r1,meet(X1,join(a,b))) = n0,
inference(spm,[status(thm)],[c_0_92,c_0_29]) ).
cnf(c_0_95,axiom,
meet(X1,n0) = n0,
x_meet_0 ).
cnf(c_0_96,hypothesis,
meet(join(r1,a),meet(join(r1,b),X1)) = meet(join(r1,meet(a,b)),X1),
inference(spm,[status(thm)],[c_0_25,c_0_69]) ).
cnf(c_0_97,hypothesis,
meet(join(r1,b),join(r1,meet(b,r2))) = join(r1,meet(b,r2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_28]),c_0_29]) ).
cnf(c_0_98,hypothesis,
meet(r2,meet(a,b)) = n0,
inference(spm,[status(thm)],[c_0_20,c_0_33]) ).
cnf(c_0_99,hypothesis,
meet(r1,b) = n0,
inference(spm,[status(thm)],[c_0_94,c_0_35]) ).
cnf(c_0_100,plain,
meet(n0,X1) = n0,
inference(spm,[status(thm)],[c_0_95,c_0_29]) ).
cnf(c_0_101,plain,
join(meet(join(X1,X2),X3),meet(X4,meet(X1,X3))) = meet(join(X1,X2),X3),
inference(spm,[status(thm)],[c_0_68,c_0_85]) ).
cnf(c_0_102,hypothesis,
meet(join(r1,meet(a,b)),join(r1,meet(b,r2))) = meet(join(r1,a),join(r1,meet(b,r2))),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,plain,
join(meet(join(X1,X2),join(X1,X3)),X4) = join(X1,join(meet(X3,join(X1,X2)),X4)),
inference(spm,[status(thm)],[c_0_31,c_0_26]) ).
cnf(c_0_104,hypothesis,
meet(b,meet(X1,join(r1,a))) = meet(X1,meet(a,b)),
inference(spm,[status(thm)],[c_0_83,c_0_61]) ).
cnf(c_0_105,hypothesis,
meet(a,meet(b,r2)) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_98]),c_0_95]),c_0_25]) ).
cnf(c_0_106,hypothesis,
meet(r1,meet(b,X1)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_99]),c_0_100]) ).
cnf(c_0_107,plain,
meet(X1,meet(X2,meet(X3,join(X4,X1)))) = meet(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_62,c_0_64]) ).
cnf(c_0_108,hypothesis,
meet(join(r1,a),join(r1,meet(b,r2))) = r1,
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_101,c_0_102]),c_0_19]),c_0_103]),c_0_25]),c_0_104]),c_0_64]),c_0_29]),c_0_64]),c_0_29]),c_0_105]),c_0_89]),c_0_50]) ).
cnf(c_0_109,hypothesis,
meet(b,meet(X1,meet(X2,r1))) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_106]),c_0_25]),c_0_95]) ).
cnf(c_0_110,plain,
join(meet(X1,X2),meet(X2,meet(X3,X1))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_29]),c_0_25]) ).
cnf(c_0_111,plain,
meet(X1,meet(X2,join(meet(X2,X1),X3))) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_38,c_0_29]) ).
cnf(c_0_112,hypothesis,
meet(b,meet(r2,meet(X1,join(r1,a)))) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_25]),c_0_109]),c_0_25]) ).
cnf(c_0_113,plain,
meet(X1,join(X2,meet(X1,join(meet(X2,X1),X3)))) = meet(X1,join(meet(X2,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_29]),c_0_52]),c_0_23]),c_0_29]) ).
cnf(c_0_114,plain,
join(X1,meet(X2,join(meet(X1,X2),X3))) = join(X1,meet(X3,X2)),
inference(spm,[status(thm)],[c_0_63,c_0_54]) ).
cnf(c_0_115,hypothesis,
meet(b,meet(r2,meet(join(r1,a),X1))) = n0,
inference(spm,[status(thm)],[c_0_112,c_0_29]) ).
cnf(c_0_116,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_35,c_0_63]),c_0_29]) ).
cnf(c_0_117,plain,
meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(meet(X3,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_54]),c_0_54]) ).
cnf(c_0_118,plain,
meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,meet(X3,X1))),
inference(rw,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_119,negated_conjecture,
r1 != meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))),
inference(fof_simplification,[status(thm)],[prove_lemma]) ).
cnf(c_0_120,hypothesis,
meet(b,meet(r2,join(a,meet(r1,X1)))) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_23]) ).
cnf(c_0_121,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X3,meet(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118]),c_0_118]) ).
cnf(c_0_122,negated_conjecture,
r1 != meet(join(r1,meet(r2,b)),join(r1,meet(r2,a))),
c_0_119 ).
cnf(c_0_123,hypothesis,
meet(b,meet(r2,join(r1,meet(a,r2)))) = n0,
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_124,negated_conjecture,
meet(join(r1,meet(a,r2)),join(r1,meet(b,r2))) != r1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_29]),c_0_29]),c_0_29]) ).
cnf(c_0_125,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_123]),c_0_28]),c_0_124]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT005-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.38 % Computer : n008.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sun Sep 20 23:06:14 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 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
% 110.74/21.81 % Version: 3.5.1
% 110.74/21.81 % Preprocessing class: FSMSSMSSSSSNFFN.
% 110.74/21.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 110.74/21.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 110.74/21.81 % Starting new_bool_3 with 300s (1) cores
% 110.74/21.81 % Starting new_bool_1 with 300s (1) cores
% 110.74/21.81 % Starting sh5l with 300s (1) cores
% 110.74/21.81 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3791449 completed with status 0
% 110.74/21.81 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 110.74/21.81 % Preprocessing class: FSMSSMSSSSSNFFN.
% 110.74/21.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 110.74/21.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 110.74/21.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 110.74/21.81 % No SInE strategy applied
% 110.74/21.81 % Search class: FHUSM-FFSF22-MFFFFFNN
% 110.74/21.81 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 110.74/21.81 % Starting SubtermCWHack with 136s (1) cores
% 110.74/21.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 110.74/21.81 % Starting U----_212g_01_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 110.74/21.81 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 110.74/21.81 % Starting new_bool_3 with 136s (1) cores
% 110.74/21.81 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 3791458 completed with status 0
% 110.74/21.81 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 110.74/21.81 % Preprocessing class: FSMSSMSSSSSNFFN.
% 110.74/21.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 110.74/21.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 110.74/21.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 110.74/21.81 % No SInE strategy applied
% 110.74/21.81 % Search class: FHUSM-FFSF22-MFFFFFNN
% 110.74/21.81 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 110.74/21.81 % Starting SubtermCWHack with 136s (1) cores
% 110.74/21.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 110.74/21.81 % Starting U----_212g_01_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 110.74/21.81 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 110.74/21.81 % Preprocessing time : 0.001 s
% 110.74/21.81 % Presaturation interreduction done
% 110.74/21.81
% 110.74/21.81 % Proof found!
% 110.74/21.81 % SZS status Unsatisfiable
% 110.74/21.81 % SZS output start CNFRefutation
% See solution above
% 110.74/21.81 % Parsed axioms : 19
% 110.74/21.81 % Removed by relevancy pruning/SinE : 0
% 110.74/21.81 % Initial clauses : 19
% 110.74/21.81 % Removed in clause preprocessing : 0
% 110.74/21.81 % Initial clauses in saturation : 19
% 110.74/21.81 % Processed clauses : 32540
% 110.74/21.81 % ...of these trivial : 6898
% 110.74/21.81 % ...subsumed : 22654
% 110.74/21.81 % ...remaining for further processing : 2988
% 110.74/21.81 % Other redundant clauses eliminated : 3470
% 110.74/21.81 % Clauses deleted for lack of memory : 0
% 110.74/21.81 % Backward-subsumed : 57
% 110.74/21.81 % Backward-rewritten : 1050
% 110.74/21.81 % Generated clauses : 970453
% 110.74/21.81 % ...of the previous two non-redundant : 698659
% 110.74/21.81 % ...aggressively subsumed : 0
% 110.74/21.81 % Contextual simplify-reflections : 0
% 110.74/21.81 % Paramodulations : 966983
% 110.74/21.81 % Factorizations : 0
% 110.74/21.81 % NegExts : 0
% 110.74/21.81 % Equation resolutions : 3470
% 110.74/21.81 % Disequality decompositions : 0
% 110.74/21.81 % Total rewrite steps : 1953425
% 110.74/21.81 % ...of those cached : 1628156
% 110.74/21.81 % Propositional unsat checks : 0
% 110.74/21.81 % Propositional check models : 0
% 110.74/21.81 % Propositional check unsatisfiable : 0
% 110.74/21.81 % Propositional clauses : 0
% 110.74/21.81 % Propositional clauses after purity: 0
% 110.74/21.81 % Propositional unsat core size : 0
% 110.74/21.81 % Propositional preprocessing time : 0.000
% 110.74/21.81 % Propositional encoding time : 0.000
% 110.74/21.81 % Propositional solver time : 0.000
% 110.74/21.81 % Success case prop preproc time : 0.000
% 110.74/21.81 % Success case prop encoding time : 0.000
% 110.74/21.81 % Success case prop solver time : 0.000
% 110.74/21.81 % Current number of processed clauses : 1856
% 110.74/21.81 % Positive orientable unit clauses : 734
% 110.74/21.81 % Positive unorientable unit clauses: 20
% 110.74/21.81 % Negative unit clauses : 1
% 110.74/21.81 % Non-unit-clauses : 1101
% 110.74/21.81 % Current number of unprocessed clauses: 661347
% 110.74/21.81 % ...number of literals in the above : 979066
% 110.74/21.81 % Current number of archived formulas : 0
% 110.74/21.81 % Current number of archived clauses : 1126
% 110.74/21.81 % Clause-clause subsumption calls (NU) : 358777
% 110.74/21.81 % Rec. Clause-clause subsumption calls : 358722
% 110.74/21.81 % Non-unit clause-clause subsumptions : 17355
% 110.74/21.81 % Unit Clause-clause subsumption calls : 42912
% 110.74/21.81 % Rewrite failures with RHS unbound : 0
% 110.74/21.81 % BW rewrite match attempts : 40730
% 110.74/21.81 % BW rewrite match successes : 2929
% 110.74/21.81 % Condensation attempts : 0
% 110.74/21.81 % Condensation successes : 0
% 110.74/21.81 % Termbank termtop insertions : 19880447
% 110.74/21.81 % Search garbage collected termcells : 12
% 110.74/21.81
% 110.74/21.81 % -------------------------------------------------
% 110.74/21.81 % User time : 15.284 s
% 110.74/21.81 % System time : 0.517 s
% 110.74/21.81 % Total time : 15.801 s
% 110.74/21.81 % Maximum resident set size: 3592 pages
% 110.74/21.81
% 110.74/21.81 % -------------------------------------------------
% 110.74/21.81 % User time : 76.458 s
% 110.74/21.81 % System time : 2.484 s
% 110.74/21.81 % Total time : 78.942 s
% 110.74/21.81 % Maximum resident set size: 4608 pages
% 110.74/21.81 % E exiting
%------------------------------------------------------------------------------