%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT015-1 : TPTP v9.2.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:37:19 PM UTC 2026
% Result : Unsatisfiable 37.79s 22.33s
% Output : CNFRefutation 37.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 2
% Syntax : Number of clauses : 113 ( 105 unt; 0 nHn; 10 RR)
% Number of literals : 148 ( 147 equ; 44 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 305 ( 79 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(join(meet(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)),meet(X7,join(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)))),join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_normal_axioms,negated_conjecture,
( meet(a,a) != a
| meet(a,b) != meet(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| join(a,a) != a
| join(a,b) != join(b,a)
| join(join(a,b),c) != join(a,join(b,c))
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms) ).
cnf(c_0_2,axiom,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(join(meet(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)),meet(X7,join(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)))),join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
single_axiom ).
cnf(c_0_3,plain,
join(meet(join(meet(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),join(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))))),X4),meet(join(meet(X1,join(join(meet(X5,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),X6)),join(meet(X2,X3),meet(X3,join(X2,X3))))),meet(X3,join(X1,join(join(meet(X5,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),X6)),join(meet(X2,X3),meet(X3,join(X2,X3))))))),join(join(meet(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),join(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))))),X4))) = join(meet(X2,X3),meet(X3,join(X2,X3))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(join(meet(X6,join(join(meet(X7,X2),meet(X2,X8)),X2)),meet(join(meet(X2,meet(meet(join(X7,join(X2,X8)),join(X9,X2)),X2)),meet(X10,join(X2,meet(meet(join(X7,join(X2,X8)),join(X9,X2)),X2)))),join(X6,join(join(meet(X7,X2),meet(X2,X8)),X2)))),join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_3,c_0_2]) ).
cnf(c_0_5,plain,
join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X3),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_2]) ).
cnf(c_0_6,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(X2,join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_3,c_0_5]) ).
cnf(c_0_7,plain,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_8,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_6]),c_0_6]),c_0_6]),c_0_7]) ).
cnf(c_0_9,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(rw,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_10,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_8]) ).
cnf(c_0_11,plain,
join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_13,plain,
meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
join(meet(X1,join(X2,X2)),meet(X2,join(X1,join(X2,X2)))) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_5]) ).
cnf(c_0_15,plain,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_13]),c_0_13]) ).
cnf(c_0_16,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_18,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_16]),c_0_16]) ).
cnf(c_0_19,plain,
meet(join(X1,X2),X2) = X2,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,plain,
join(X1,meet(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_18]) ).
cnf(c_0_21,plain,
join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_22,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_24,plain,
join(meet(X1,meet(X2,X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_20]),c_0_18]) ).
cnf(c_0_25,plain,
meet(meet(X1,X2),X2) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20]),c_0_18]),c_0_16]) ).
cnf(c_0_26,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
meet(join(X1,join(X2,X3)),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_16]),c_0_25]) ).
cnf(c_0_28,plain,
join(meet(meet(meet(X1,join(X2,X2)),meet(X2,join(X1,join(X2,X2)))),meet(meet(X1,join(X2,X2)),X2)),meet(meet(meet(X1,join(X2,X2)),meet(X2,join(X1,join(X2,X2)))),meet(X1,join(X2,X2)))) = meet(meet(X1,join(X2,X2)),meet(X2,join(X1,join(X2,X2)))),
inference(spm,[status(thm)],[c_0_21,c_0_14]) ).
cnf(c_0_29,plain,
meet(join(X1,X2),X1) = X1,
inference(rw,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_30,plain,
meet(join(X1,X2),meet(X2,X3)) = meet(X2,X3),
inference(spm,[status(thm)],[c_0_27,c_0_7]) ).
cnf(c_0_31,plain,
meet(meet(meet(X1,X2),meet(X2,join(X1,X2))),meet(X1,X2)) = meet(meet(X1,X2),meet(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(rw,[status(thm)],[c_0_28,c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_25]),c_0_16]) ).
cnf(c_0_32,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_29,c_0_7]) ).
cnf(c_0_33,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_34,plain,
meet(X1,meet(meet(X1,join(X2,X1)),X3)) = meet(meet(X1,join(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_30,c_0_12]) ).
cnf(c_0_35,plain,
join(meet(X1,X2),X2) = X2,
inference(rw,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_36,plain,
meet(X1,join(join(X1,X2),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_29]),c_0_32]),c_0_33]),c_0_32]) ).
cnf(c_0_37,plain,
meet(meet(X1,join(X2,X1)),meet(X1,X3)) = meet(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_12]),c_0_33]),c_0_33]) ).
cnf(c_0_38,plain,
join(X1,join(join(X1,X2),X1)) = join(join(X1,X2),X1),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,plain,
join(meet(X1,join(X1,join(X2,X1))),X1) = meet(X1,join(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_37]),c_0_33]) ).
cnf(c_0_40,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_7]),c_0_39]),c_0_7]) ).
cnf(c_0_41,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_35,c_0_40]) ).
cnf(c_0_42,plain,
join(meet(meet(X1,X2),X1),meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_41,c_0_21]) ).
cnf(c_0_43,plain,
meet(join(X1,join(X2,X3)),X3) = X3,
inference(spm,[status(thm)],[c_0_30,c_0_19]) ).
cnf(c_0_44,plain,
join(join(join(meet(X1,X2),meet(X2,X3)),X2),meet(X2,join(meet(join(X4,join(join(join(meet(X1,X2),meet(X2,X3)),X2),X5)),join(X6,join(join(meet(X1,X2),meet(X2,X3)),X2))),join(join(meet(X1,X2),meet(X2,X3)),X2)))) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_13]) ).
cnf(c_0_45,plain,
join(meet(X1,join(X2,join(X3,X1))),X1) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,plain,
join(join(meet(X1,X2),meet(X2,X3)),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_44]),c_0_30]),c_0_19]),c_0_45]) ).
cnf(c_0_47,plain,
join(meet(X1,X2),X1) = X1,
inference(spm,[status(thm)],[c_0_46,c_0_42]) ).
cnf(c_0_48,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_47]),c_0_16]) ).
cnf(c_0_49,plain,
meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X2,X1),X3),
inference(spm,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_50,plain,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_29]) ).
cnf(c_0_51,plain,
join(X1,meet(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_48]) ).
cnf(c_0_52,plain,
join(join(X1,meet(join(X2,X1),X3)),join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_46,c_0_40]) ).
cnf(c_0_53,plain,
meet(join(X1,X2),meet(X1,X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_55,plain,
join(join(X1,X2),X1) = join(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_29]) ).
cnf(c_0_56,plain,
meet(meet(X1,join(X2,meet(X3,X1))),meet(X3,X1)) = meet(X3,X1),
inference(spm,[status(thm)],[c_0_23,c_0_12]) ).
cnf(c_0_57,plain,
meet(join(X1,X2),meet(X3,X2)) = meet(X3,X2),
inference(spm,[status(thm)],[c_0_27,c_0_12]) ).
cnf(c_0_58,plain,
join(join(X1,meet(X2,X3)),join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,plain,
meet(X1,join(join(X1,X2),X3)) = X1,
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,plain,
meet(meet(X1,X2),meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_56,c_0_51]) ).
cnf(c_0_61,plain,
join(join(meet(X1,join(X2,X3)),meet(X4,X3)),join(X2,X3)) = join(X2,X3),
inference(spm,[status(thm)],[c_0_46,c_0_57]) ).
cnf(c_0_62,plain,
join(join(X1,X2),join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,plain,
meet(meet(X1,join(X2,meet(X1,X3))),meet(X1,X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_23,c_0_7]) ).
cnf(c_0_64,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_60]),c_0_60]) ).
cnf(c_0_65,plain,
meet(X1,meet(X2,meet(X3,X1))) = meet(X2,meet(X3,X1)),
inference(spm,[status(thm)],[c_0_57,c_0_20]) ).
cnf(c_0_66,plain,
join(join(X1,meet(X2,X3)),join(X1,X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_61,c_0_50]) ).
cnf(c_0_67,plain,
join(X1,X2) = join(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_62]),c_0_62]) ).
cnf(c_0_68,plain,
meet(meet(X1,X2),meet(X1,join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(rw,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,plain,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_51,c_0_65]) ).
cnf(c_0_70,plain,
join(X1,meet(meet(X2,X1),X3)) = X1,
inference(spm,[status(thm)],[c_0_51,c_0_49]) ).
cnf(c_0_71,plain,
join(join(X1,X2),join(X1,meet(X3,X2))) = join(X1,X2),
inference(rw,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( meet(a,a) != a
| meet(a,b) != meet(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| join(a,a) != a
| join(a,b) != join(b,a)
| join(join(a,b),c) != join(a,join(b,c))
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a ),
prove_normal_axioms ).
cnf(c_0_73,plain,
join(meet(X1,X2),join(X3,X1)) = join(X3,X1),
inference(spm,[status(thm)],[c_0_47,c_0_30]) ).
cnf(c_0_74,plain,
meet(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,meet(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_64]) ).
cnf(c_0_75,plain,
meet(meet(join(X1,X2),join(X3,meet(X4,X2))),meet(X4,X2)) = meet(X4,X2),
inference(spm,[status(thm)],[c_0_13,c_0_35]) ).
cnf(c_0_76,plain,
join(X1,meet(meet(X1,X2),X3)) = X1,
inference(spm,[status(thm)],[c_0_70,c_0_48]) ).
cnf(c_0_77,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_50,c_0_62]) ).
cnf(c_0_78,plain,
meet(join(X1,X2),join(X1,meet(X3,X2))) = join(X1,meet(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_71]),c_0_64]) ).
cnf(c_0_79,negated_conjecture,
( meet(meet(a,b),c) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c))
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a
| meet(a,a) != a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_16])]) ).
cnf(c_0_80,plain,
join(meet(X1,X2),join(X3,meet(X2,X1))) = join(X3,meet(X2,X1)),
inference(spm,[status(thm)],[c_0_73,c_0_60]) ).
cnf(c_0_81,plain,
join(meet(X1,X2),meet(X1,meet(X3,X2))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_74]) ).
cnf(c_0_82,plain,
meet(meet(X1,X2),meet(join(X3,X2),join(X4,meet(X1,X2)))) = meet(X1,X2),
inference(rw,[status(thm)],[c_0_75,c_0_64]) ).
cnf(c_0_83,plain,
join(meet(X1,X2),meet(meet(X2,X1),X3)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_76,c_0_60]) ).
cnf(c_0_84,plain,
meet(join(X1,X2),meet(X3,join(X2,X1))) = meet(X3,join(X2,X1)),
inference(spm,[status(thm)],[c_0_65,c_0_77]) ).
cnf(c_0_85,plain,
meet(join(X1,X2),join(X1,join(X2,X3))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_50]),c_0_64]) ).
cnf(c_0_86,plain,
join(join(X1,X2),join(meet(X3,X2),X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_71,c_0_67]) ).
cnf(c_0_87,negated_conjecture,
( meet(meet(a,b),c) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c))
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_18])]) ).
cnf(c_0_88,plain,
join(meet(X1,X2),meet(meet(X3,X2),X1)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_67]) ).
cnf(c_0_89,plain,
meet(meet(X1,X2),meet(join(X3,X2),X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_82,c_0_51]) ).
cnf(c_0_90,plain,
join(meet(X1,X2),meet(X2,meet(X3,X1))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_83,c_0_74]) ).
cnf(c_0_91,plain,
meet(join(X1,X2),join(join(X2,X3),X1)) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_64]) ).
cnf(c_0_92,plain,
join(join(X1,X2),join(meet(X3,X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_86,c_0_67]) ).
cnf(c_0_93,plain,
meet(join(X1,X2),join(X1,join(X3,X2))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_40]),c_0_64]) ).
cnf(c_0_94,plain,
join(join(X1,X2),join(X2,meet(X3,X1))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_71,c_0_67]) ).
cnf(c_0_95,negated_conjecture,
( meet(meet(a,b),c) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c))
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| meet(a,join(a,b)) != a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_51])]) ).
cnf(c_0_96,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X3,X1),
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_64]),c_0_67]),c_0_90]),c_0_64]) ).
cnf(c_0_97,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_67]),c_0_64]),c_0_93]),c_0_67]) ).
cnf(c_0_98,plain,
join(X1,join(X2,meet(X3,X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_94]),c_0_67]),c_0_64]),c_0_85]),c_0_67]) ).
cnf(c_0_99,negated_conjecture,
( meet(meet(a,b),c) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c))
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_50])]) ).
cnf(c_0_100,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_96,c_0_64]) ).
cnf(c_0_101,plain,
join(join(X1,X2),join(X2,X3)) = join(join(X1,X2),X3),
inference(spm,[status(thm)],[c_0_97,c_0_40]) ).
cnf(c_0_102,plain,
join(join(X1,X2),join(X3,X1)) = join(join(X1,X2),X3),
inference(spm,[status(thm)],[c_0_98,c_0_50]) ).
cnf(c_0_103,negated_conjecture,
( meet(c,meet(a,b)) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c))
| join(b,a) != join(a,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_64]),c_0_64])]) ).
cnf(c_0_104,plain,
meet(meet(X1,X2),meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(spm,[status(thm)],[c_0_96,c_0_20]) ).
cnf(c_0_105,plain,
meet(meet(X1,X2),meet(X3,X1)) = meet(X3,meet(X1,X2)),
inference(spm,[status(thm)],[c_0_100,c_0_51]) ).
cnf(c_0_106,plain,
join(join(X1,X2),X3) = join(join(X3,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_101]),c_0_102]) ).
cnf(c_0_107,negated_conjecture,
( meet(c,meet(a,b)) != meet(a,meet(b,c))
| join(c,join(a,b)) != join(a,join(b,c)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_67]),c_0_67])]) ).
cnf(c_0_108,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_104]),c_0_105]) ).
cnf(c_0_109,plain,
join(join(X1,X2),X3) = join(X2,join(X3,X1)),
inference(spm,[status(thm)],[c_0_67,c_0_106]) ).
cnf(c_0_110,negated_conjecture,
join(c,join(a,b)) != join(a,join(b,c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108])]) ).
cnf(c_0_111,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_109]),c_0_109]) ).
cnf(c_0_112,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT015-1 : TPTP v9.2.1. Released v2.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n016.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 20:47:21 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 37.79/22.33 % Version : CSE_E---1.7
% 37.79/22.33 % Problem : theBenchmark.p
% 37.79/22.33 % SZS status Unsatisfiable for theBenchmark.p
% 37.79/22.33 % SZS output start CNFRefutation
% See solution above
% 37.89/22.47 % Total time : 16.402s
%------------------------------------------------------------------------------