%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT085-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:04:11 PM UTC 2026
% Result : Unsatisfiable 8.45s 2.14s
% Output : CNFRefutation 8.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 2
% Syntax : Number of clauses : 85 ( 85 unt; 0 nHn; 5 RR)
% Number of literals : 85 ( 84 equ; 4 neg)
% Maximal clause size : 1 ( 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 : 236 ( 52 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/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_normal_axioms_6,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_6) ).
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(spm,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_2]),c_0_2]),c_0_7]) ).
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_2,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_6]),c_0_8]),c_0_8]),c_0_8]),c_0_8]) ).
cnf(c_0_15,plain,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_11,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,
join(meet(X1,X1),join(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_18,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_19,plain,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_20,plain,
meet(X1,X1) = 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(spm,[status(thm)],[c_0_2,c_0_16]),c_0_12]),c_0_12]),c_0_11]),c_0_8]),c_0_12]),c_0_16]) ).
cnf(c_0_21,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_22,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_18,c_0_14]) ).
cnf(c_0_23,plain,
meet(join(X1,X2),X2) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
meet(X1,meet(X1,join(X2,X1))) = meet(X1,join(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_12]),c_0_21]) ).
cnf(c_0_25,plain,
meet(X1,join(join(X2,X1),X1)) = 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(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_22,c_0_23]),c_0_16]),c_0_16]),c_0_16]),c_0_24]),c_0_16]),c_0_20]),c_0_21]),c_0_16]),c_0_16]),c_0_16]),c_0_24]),c_0_16]),c_0_21]),c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_24]) ).
cnf(c_0_26,plain,
join(X1,meet(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_20]),c_0_16]) ).
cnf(c_0_27,plain,
meet(meet(X1,X2),X2) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_26]) ).
cnf(c_0_28,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_29,plain,
join(meet(X1,meet(X2,X1)),X1) = 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(spm,[status(thm)],[c_0_2,c_0_26]),c_0_12]),c_0_12]),c_0_11]),c_0_8]),c_0_12]),c_0_20]) ).
cnf(c_0_30,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_27]) ).
cnf(c_0_31,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
meet(join(X1,X2),meet(X2,X3)) = meet(X2,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_2]),c_0_12]),c_0_12]) ).
cnf(c_0_33,plain,
join(X1,join(join(X2,X1),X1)) = join(join(X2,X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_23]) ).
cnf(c_0_34,plain,
meet(join(X1,X2),X1) = X1,
inference(rw,[status(thm)],[c_0_31,c_0_27]) ).
cnf(c_0_35,plain,
meet(X1,meet(meet(X1,join(X2,X1)),X3)) = meet(meet(X1,join(X2,X1)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_14]),c_0_16]),c_0_16]) ).
cnf(c_0_36,plain,
join(meet(X1,X2),X2) = 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(spm,[status(thm)],[c_0_33,c_0_11]),c_0_13]),c_0_16]),c_0_13]),c_0_16]),c_0_26]),c_0_13]),c_0_16]),c_0_26]) ).
cnf(c_0_37,plain,
meet(X1,join(join(X1,X2),X1)) = 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(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_22,c_0_34]),c_0_16]),c_0_16]),c_0_16]),c_0_24]),c_0_16]),c_0_20]),c_0_21]),c_0_16]),c_0_16]),c_0_16]),c_0_24]),c_0_16]),c_0_21]),c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_24]) ).
cnf(c_0_38,plain,
meet(meet(X1,join(X2,X1)),meet(X1,X3)) = meet(X1,X3),
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_35,c_0_14]),c_0_16]),c_0_16]),c_0_21]),c_0_16]),c_0_21]) ).
cnf(c_0_39,plain,
join(X1,join(join(X1,X2),X1)) = join(join(X1,X2),X1),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,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_18,c_0_38]),c_0_21]) ).
cnf(c_0_41,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_39,c_0_40]),c_0_7]),c_0_40]),c_0_7]) ).
cnf(c_0_42,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_36,c_0_41]) ).
cnf(c_0_43,plain,
meet(join(X1,join(X2,X3)),X3) = X3,
inference(spm,[status(thm)],[c_0_32,c_0_23]) ).
cnf(c_0_44,plain,
meet(join(X1,join(X2,X3)),meet(X3,X4)) = meet(X3,X4),
inference(spm,[status(thm)],[c_0_32,c_0_32]) ).
cnf(c_0_45,plain,
join(meet(X1,join(X1,X2)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_2]),c_0_11]),c_0_8]),c_0_12]) ).
cnf(c_0_46,plain,
join(X1,meet(join(X2,join(X3,X1)),join(join(X2,join(X3,X1)),X1))) = join(X2,join(X3,X1)),
inference(spm,[status(thm)],[c_0_7,c_0_43]) ).
cnf(c_0_47,plain,
join(meet(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),meet(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),X3)) = meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_48,plain,
meet(join(X1,join(X2,meet(join(X3,join(X4,X5)),join(X6,X4)))),X4) = X4,
inference(spm,[status(thm)],[c_0_44,c_0_13]) ).
cnf(c_0_49,plain,
join(meet(X1,join(X2,join(X3,X1))),X1) = X1,
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,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_47,c_0_48]),c_0_32]),c_0_23]),c_0_49]) ).
cnf(c_0_51,plain,
join(meet(meet(X1,X2),X1),meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_42,c_0_18]) ).
cnf(c_0_52,plain,
join(meet(X1,X2),X1) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_53,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_34]) ).
cnf(c_0_54,plain,
meet(X1,join(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_53]),c_0_41]),c_0_36]),c_0_41]),c_0_36]),c_0_50]),c_0_11]),c_0_50]),c_0_41]),c_0_36]),c_0_41]),c_0_36]),c_0_16]) ).
cnf(c_0_55,plain,
join(X1,join(X2,join(X3,X1))) = join(X2,join(X3,X1)),
inference(spm,[status(thm)],[c_0_52,c_0_43]) ).
cnf(c_0_56,plain,
join(join(X1,X2),X1) = join(X1,X2),
inference(spm,[status(thm)],[c_0_26,c_0_54]) ).
cnf(c_0_57,plain,
meet(join(X1,meet(X2,join(X3,X2))),X2) = X2,
inference(spm,[status(thm)],[c_0_32,c_0_21]) ).
cnf(c_0_58,plain,
join(X1,join(join(X2,X1),X3)) = join(join(X2,X1),X3),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,plain,
join(join(meet(X1,join(X2,X3)),X3),join(X2,X3)) = join(X2,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_57]),c_0_41]),c_0_41]),c_0_41]) ).
cnf(c_0_60,plain,
meet(X1,join(join(X2,X1),X3)) = 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(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_2,c_0_58]),c_0_41]),c_0_36]),c_0_41]),c_0_36]),c_0_50]),c_0_13]),c_0_20]),c_0_13]),c_0_16]),c_0_26]),c_0_50]),c_0_41]),c_0_36]),c_0_41]),c_0_36]),c_0_16]) ).
cnf(c_0_61,plain,
join(X1,join(X2,join(X1,X3))) = join(X2,join(X1,X3)),
inference(spm,[status(thm)],[c_0_52,c_0_30]) ).
cnf(c_0_62,plain,
join(join(X1,X2),join(join(X3,X1),X2)) = join(join(X3,X1),X2),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_63,plain,
join(X1,join(join(X1,X2),X3)) = join(join(X1,X2),X3),
inference(spm,[status(thm)],[c_0_61,c_0_56]) ).
cnf(c_0_64,plain,
join(join(X1,X2),join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_62,c_0_56]) ).
cnf(c_0_65,plain,
meet(X1,join(join(X1,X2),X3)) = 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(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_2,c_0_63]),c_0_41]),c_0_36]),c_0_41]),c_0_36]),c_0_50]),c_0_13]),c_0_20]),c_0_13]),c_0_16]),c_0_26]),c_0_50]),c_0_41]),c_0_36]),c_0_41]),c_0_36]),c_0_16]) ).
cnf(c_0_66,plain,
join(X1,X2) = join(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_64]),c_0_64]) ).
cnf(c_0_67,plain,
join(join(X1,X2),join(join(X1,X3),X2)) = join(join(X1,X3),X2),
inference(spm,[status(thm)],[c_0_59,c_0_65]) ).
cnf(c_0_68,plain,
join(join(X1,X2),join(X2,join(X3,X1))) = join(X2,join(X3,X1)),
inference(spm,[status(thm)],[c_0_62,c_0_66]) ).
cnf(c_0_69,plain,
join(join(X1,X2),join(join(X2,X1),X3)) = join(join(X2,X1),X3),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_70,plain,
join(join(X1,X2),join(X2,join(X1,X3))) = join(X2,join(X1,X3)),
inference(spm,[status(thm)],[c_0_67,c_0_66]) ).
cnf(c_0_71,plain,
meet(join(X1,join(X2,X3)),join(X3,X1)) = join(X3,X1),
inference(spm,[status(thm)],[c_0_34,c_0_68]) ).
cnf(c_0_72,plain,
join(join(X1,X2),join(X1,join(X2,X3))) = join(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_73,plain,
meet(join(X1,X2),join(X2,join(X1,X3))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_54,c_0_70]) ).
cnf(c_0_74,plain,
join(join(X1,X2),join(X1,join(X3,X2))) = join(X1,join(X3,X2)),
inference(spm,[status(thm)],[c_0_70,c_0_55]) ).
cnf(c_0_75,plain,
join(join(X1,X2),join(X3,X1)) = join(X3,join(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_76,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
inference(fof_simplification,[status(thm)],[prove_normal_axioms_6]) ).
cnf(c_0_77,plain,
join(join(X1,X2),join(X3,X2)) = join(X3,join(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_74]),c_0_73]) ).
cnf(c_0_78,plain,
join(join(X1,X2),join(X2,X3)) = join(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_66,c_0_75]) ).
cnf(c_0_79,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
c_0_76 ).
cnf(c_0_80,plain,
join(join(X1,X2),join(X1,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_75,c_0_66]) ).
cnf(c_0_81,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_77]),c_0_78]) ).
cnf(c_0_82,negated_conjecture,
join(c,join(a,b)) != join(a,join(b,c)),
inference(rw,[status(thm)],[c_0_79,c_0_66]) ).
cnf(c_0_83,plain,
join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_77]),c_0_80]),c_0_81]) ).
cnf(c_0_84,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83]),c_0_66]),c_0_83]),c_0_66])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT085-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 23:15:22 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 8.45/2.14 % Version: 3.5.1
% 8.45/2.14 % Preprocessing class: FSSSSMSSSSSNFFN.
% 8.45/2.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.45/2.14 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 8.45/2.14 % Starting new_bool_3 with 300s (1) cores
% 8.45/2.14 % Starting new_bool_1 with 300s (1) cores
% 8.45/2.14 % Starting sh5l with 300s (1) cores
% 8.45/2.14 % new_bool_3 with pid 1000648 completed with status 9
% 8.45/2.14 % new_bool_1 with pid 1000649 completed with status 9
% 8.45/2.14 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1000647 completed with status 0
% 8.45/2.14 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 8.45/2.14 % Preprocessing class: FSSSSMSSSSSNFFN.
% 8.45/2.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.45/2.14 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 8.45/2.14 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.45/2.14 % No SInE strategy applied
% 8.45/2.14 % Search class: FUUPF-FFSF22-DFFFFFNN
% 8.45/2.14 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 8.45/2.14 % Starting SubtermCWHack with 136s (1) cores
% 8.45/2.14 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 8.45/2.14 % Starting G----_0008_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 8.45/2.14 % Starting new_bool_3 with 136s (1) cores
% 8.45/2.14 % Starting G----_0015_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 8.45/2.14 % G----_0015_C18_F1_SE_CS_SP_S0Y with pid 1000658 completed with status 0
% 8.45/2.14 % Result found by G----_0015_C18_F1_SE_CS_SP_S0Y
% 8.45/2.14 % Preprocessing class: FSSSSMSSSSSNFFN.
% 8.45/2.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.45/2.14 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 8.45/2.14 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.45/2.14 % No SInE strategy applied
% 8.45/2.14 % Search class: FUUPF-FFSF22-DFFFFFNN
% 8.45/2.14 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 8.45/2.14 % Starting SubtermCWHack with 136s (1) cores
% 8.45/2.14 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 8.45/2.14 % Starting G----_0008_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 8.45/2.14 % Starting new_bool_3 with 136s (1) cores
% 8.45/2.14 % Starting G----_0015_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 8.45/2.14 % Preprocessing time : 0.002 s
% 8.45/2.14
% 8.45/2.14 % Proof found!
% 8.45/2.14 % SZS status Unsatisfiable
% 8.45/2.14 % SZS output start CNFRefutation
% See solution above
% 8.45/2.14 % Parsed axioms : 2
% 8.45/2.14 % Removed by relevancy pruning/SinE : 0
% 8.45/2.14 % Initial clauses : 2
% 8.45/2.14 % Removed in clause preprocessing : 0
% 8.45/2.14 % Initial clauses in saturation : 2
% 8.45/2.14 % Processed clauses : 3392
% 8.45/2.14 % ...of these trivial : 2555
% 8.45/2.14 % ...subsumed : 418
% 8.45/2.14 % ...remaining for further processing : 419
% 8.45/2.14 % Other redundant clauses eliminated : 0
% 8.45/2.14 % Clauses deleted for lack of memory : 0
% 8.45/2.14 % Backward-subsumed : 0
% 8.45/2.14 % Backward-rewritten : 293
% 8.45/2.14 % Generated clauses : 133506
% 8.45/2.14 % ...of the previous two non-redundant : 48688
% 8.45/2.14 % ...aggressively subsumed : 0
% 8.45/2.14 % Contextual simplify-reflections : 0
% 8.45/2.14 % Paramodulations : 133506
% 8.45/2.14 % Factorizations : 0
% 8.45/2.14 % NegExts : 0
% 8.45/2.14 % Equation resolutions : 0
% 8.45/2.14 % Disequality decompositions : 0
% 8.45/2.14 % Total rewrite steps : 221478
% 8.45/2.14 % ...of those cached : 183637
% 8.45/2.14 % Propositional unsat checks : 0
% 8.45/2.14 % Propositional check models : 0
% 8.45/2.14 % Propositional check unsatisfiable : 0
% 8.45/2.14 % Propositional clauses : 0
% 8.45/2.14 % Propositional clauses after purity: 0
% 8.45/2.14 % Propositional unsat core size : 0
% 8.45/2.14 % Propositional preprocessing time : 0.000
% 8.45/2.14 % Propositional encoding time : 0.000
% 8.45/2.14 % Propositional solver time : 0.000
% 8.45/2.14 % Success case prop preproc time : 0.000
% 8.45/2.14 % Success case prop encoding time : 0.000
% 8.45/2.14 % Success case prop solver time : 0.000
% 8.45/2.14 % Current number of processed clauses : 126
% 8.45/2.14 % Positive orientable unit clauses : 124
% 8.45/2.14 % Positive unorientable unit clauses: 2
% 8.45/2.14 % Negative unit clauses : 0
% 8.45/2.14 % Non-unit-clauses : 0
% 8.45/2.14 % Current number of unprocessed clauses: 45101
% 8.45/2.14 % ...number of literals in the above : 45101
% 8.45/2.14 % Current number of archived formulas : 0
% 8.45/2.14 % Current number of archived clauses : 293
% 8.45/2.14 % Clause-clause subsumption calls (NU) : 0
% 8.45/2.14 % Rec. Clause-clause subsumption calls : 0
% 8.45/2.14 % Non-unit clause-clause subsumptions : 0
% 8.45/2.14 % Unit Clause-clause subsumption calls : 219
% 8.45/2.14 % Rewrite failures with RHS unbound : 0
% 8.45/2.14 % BW rewrite match attempts : 4257
% 8.45/2.14 % BW rewrite match successes : 762
% 8.45/2.14 % Condensation attempts : 0
% 8.45/2.14 % Condensation successes : 0
% 8.45/2.14 % Termbank termtop insertions : 2100131
% 8.45/2.14 % Search garbage collected termcells : 2
% 8.45/2.14
% 8.45/2.14 % -------------------------------------------------
% 8.45/2.14 % User time : 1.597 s
% 8.45/2.14 % System time : 0.064 s
% 8.45/2.14 % Total time : 1.661 s
% 8.45/2.14 % Maximum resident set size: 3332 pages
% 8.45/2.14
% 8.45/2.14 % -------------------------------------------------
% 8.45/2.14 % User time : 8.039 s
% 8.45/2.14 % System time : 0.256 s
% 8.45/2.14 % Total time : 8.294 s
% 8.45/2.14 % Maximum resident set size: 4608 pages
% 8.45/2.14 % E exiting
%------------------------------------------------------------------------------