%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LAT030-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 01:05:23 PM UTC 2026
% Result : Unsatisfiable 8.24s 1.52s
% Output : CNFRefutation 8.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 2
% Syntax : Number of clauses : 61 ( 58 unt; 0 nHn; 4 RR)
% Number of literals : 76 ( 75 equ; 18 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 13 ( 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 : 151 ( 39 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(X2,X4),meet(X5,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)),meet(X6,join(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)))),join(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_wal_axioms,negated_conjecture,
( join(join(meet(a,b),meet(c,b)),b) != b
| meet(meet(join(a,b),join(c,b)),b) != b
| join(b,a) != join(a,b)
| join(a,a) != a
| meet(b,a) != meet(a,b)
| meet(a,a) != a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wal_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(X2,X4),meet(X5,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)),meet(X6,join(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)))),join(X1,join(join(meet(X2,X4),meet(X5,X2)),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(join(meet(X2,X3),meet(X3,join(X2,X3))),X5),meet(X6,join(meet(X2,X3),meet(X3,join(X2,X3))))),join(meet(X2,X3),meet(X3,join(X2,X3))))),meet(X3,join(X1,join(join(meet(join(meet(X2,X3),meet(X3,join(X2,X3))),X5),meet(X6,join(meet(X2,X3),meet(X3,join(X2,X3))))),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(X2,X4),meet(X5,X2)),X2)),meet(join(meet(X6,join(join(meet(X2,X7),meet(X8,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X7),join(X8,X2)),X2)),meet(X9,join(X2,meet(meet(join(X2,X7),join(X8,X2)),X2)))),join(X6,join(join(meet(X2,X7),meet(X8,X2)),X2)))),join(X1,join(join(meet(X2,X4),meet(X5,X2)),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(X2,X4),meet(X5,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X4),meet(X5,X2)),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(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2,
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(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2,
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(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,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,X2),join(X3,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_15,plain,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_16,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_15]) ).
cnf(c_0_17,plain,
meet(meet(X1,meet(X1,X2)),meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_2]),c_0_12]),c_0_12]),c_0_12]) ).
cnf(c_0_18,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_19,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_13]) ).
cnf(c_0_20,plain,
join(X1,meet(X1,join(meet(join(X1,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_2,c_0_16]),c_0_15]),c_0_15]),c_0_16]),c_0_15]),c_0_15]),c_0_15]),c_0_13]),c_0_13]),c_0_14]),c_0_15]),c_0_15]),c_0_15]),c_0_15]),c_0_15]),c_0_16]),c_0_15]),c_0_15]),c_0_7]) ).
cnf(c_0_21,plain,
join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,join(X1,X2)),X1)) = meet(X1,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)],[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(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(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(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(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(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(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(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(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_4]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_15]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_13]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_13]),c_0_14]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_15]),c_0_7]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_7]),c_0_15]),c_0_15]),c_0_11]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]) ).
cnf(c_0_22,plain,
join(X1,join(X1,X1)) = X1,
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
cnf(c_0_24,plain,
join(X1,X1) = X1,
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_21,c_0_22]),c_0_19]),c_0_23]),c_0_19]),c_0_19]),c_0_19]) ).
cnf(c_0_25,plain,
join(join(meet(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_26,plain,
meet(meet(X1,meet(X2,X1)),meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_10]),c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_27,plain,
join(X1,meet(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_24]),c_0_23]),c_0_19]),c_0_23]),c_0_24]) ).
cnf(c_0_28,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_29,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_27]) ).
cnf(c_0_30,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_28,c_0_29]),c_0_27]),c_0_19]),c_0_24]) ).
cnf(c_0_31,plain,
join(X1,meet(X1,join(meet(X1,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_2,c_0_23]),c_0_15]),c_0_15]),c_0_23]),c_0_15]),c_0_15]),c_0_15]),c_0_13]),c_0_13]),c_0_14]),c_0_15]),c_0_15]),c_0_15]),c_0_15]),c_0_15]),c_0_23]),c_0_15]),c_0_15]),c_0_7]) ).
cnf(c_0_32,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[c_0_17,c_0_30]) ).
cnf(c_0_33,plain,
meet(X1,join(meet(X1,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(spm,[status(thm)],[c_0_28,c_0_31]),c_0_32]),c_0_19]),c_0_23]),c_0_32]),c_0_23]),c_0_24]),c_0_32]) ).
cnf(c_0_34,plain,
join(meet(X1,join(X2,X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_33]),c_0_25]) ).
cnf(c_0_35,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_7,c_0_34]),c_0_23]),c_0_23]),c_0_24]) ).
cnf(c_0_36,plain,
join(join(X1,X2),X2) = join(X1,X2),
inference(spm,[status(thm)],[c_0_27,c_0_35]) ).
cnf(c_0_37,plain,
join(meet(X1,X2),X1) = X1,
inference(rw,[status(thm)],[c_0_25,c_0_36]) ).
cnf(c_0_38,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(spm,[status(thm)],[c_0_2,c_0_27]),c_0_12]),c_0_12]),c_0_10]),c_0_12]),c_0_19]) ).
cnf(c_0_39,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_37]),c_0_24]) ).
cnf(c_0_40,plain,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_15,c_0_29]) ).
cnf(c_0_41,plain,
meet(join(X1,X2),X1) = X1,
inference(rw,[status(thm)],[c_0_16,c_0_30]) ).
cnf(c_0_42,plain,
join(meet(X1,X2),X2) = X2,
inference(rw,[status(thm)],[c_0_38,c_0_29]) ).
cnf(c_0_43,plain,
join(X1,join(X2,X1)) = join(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_35]),c_0_35]),c_0_15]),c_0_35]),c_0_13]),c_0_19]),c_0_13]),c_0_24]),c_0_27]),c_0_15]),c_0_35]),c_0_35]),c_0_7]) ).
cnf(c_0_44,plain,
join(X1,meet(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_27,c_0_39]) ).
cnf(c_0_45,plain,
join(join(X1,meet(X2,join(X3,X1))),join(X3,X1)) = join(X3,X1),
inference(spm,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_46,plain,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_39,c_0_41]) ).
cnf(c_0_47,plain,
meet(meet(X1,join(X2,meet(X3,X1))),meet(X3,X1)) = meet(X3,X1),
inference(spm,[status(thm)],[c_0_13,c_0_42]) ).
cnf(c_0_48,plain,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( join(join(meet(a,b),meet(c,b)),b) != b
| meet(meet(join(a,b),join(c,b)),b) != b
| join(b,a) != join(a,b)
| join(a,a) != a
| meet(b,a) != meet(a,b)
| meet(a,a) != a ),
inference(fof_simplification,[status(thm)],[prove_wal_axioms]) ).
cnf(c_0_50,plain,
join(join(X1,X2),X1) = join(X1,X2),
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_51,plain,
join(join(X1,X2),join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
meet(meet(X1,X2),meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_47,c_0_44]) ).
cnf(c_0_53,plain,
meet(X1,meet(join(X2,X1),join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_39,c_0_48]) ).
cnf(c_0_54,plain,
join(join(meet(X1,X2),meet(X2,X3)),X2) = X2,
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_55,negated_conjecture,
( join(join(meet(a,b),meet(c,b)),b) != b
| meet(meet(join(a,b),join(c,b)),b) != b
| join(b,a) != join(a,b)
| join(a,a) != a
| meet(b,a) != meet(a,b)
| meet(a,a) != a ),
c_0_49 ).
cnf(c_0_56,plain,
join(X1,X2) = join(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_51]) ).
cnf(c_0_57,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_52]),c_0_52]) ).
cnf(c_0_58,plain,
meet(X1,meet(join(X2,X1),join(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_53,c_0_50]) ).
cnf(c_0_59,plain,
join(X1,join(meet(X2,X1),meet(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_54]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_19])]),c_0_56]),c_0_57]),c_0_58]),c_0_57]),c_0_56]),c_0_59]),c_0_57]),c_0_56]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT030-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 23:07:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 8.24/1.52 % Version: 3.5.1
% 8.24/1.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 8.24/1.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.24/1.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.24/1.52 % Starting new_bool_3 with 300s (1) cores
% 8.24/1.52 % Starting new_bool_1 with 300s (1) cores
% 8.24/1.52 % Starting sh5l with 300s (1) cores
% 8.24/1.52 % new_bool_3 with pid 3600180 completed with status 0
% 8.24/1.52 % Result found by new_bool_3
% 8.24/1.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 8.24/1.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.24/1.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.24/1.52 % Starting new_bool_3 with 300s (1) cores
% 8.24/1.52 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 8.24/1.52 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.24/1.52 % Search class: FUHPF-FFSF22-DFFFFFNN
% 8.24/1.52 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 8.24/1.52 % Starting SubtermCWHack with 31s (1) cores
% 8.24/1.52 % SubtermCWHack with pid 3600186 completed with status 0
% 8.24/1.52 % Result found by SubtermCWHack
% 8.24/1.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 8.24/1.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.24/1.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.24/1.52 % Starting new_bool_3 with 300s (1) cores
% 8.24/1.52 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 8.24/1.52 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.24/1.52 % Search class: FUHPF-FFSF22-DFFFFFNN
% 8.24/1.52 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 8.24/1.52 % Starting SubtermCWHack with 31s (1) cores
% 8.24/1.52 % Preprocessing time : 0.001 s
% 8.24/1.52
% 8.24/1.52 % Proof found!
% 8.24/1.52 % SZS status Unsatisfiable
% 8.24/1.52 % SZS output start CNFRefutation
% See solution above
% 8.24/1.52 % Parsed axioms : 2
% 8.24/1.52 % Removed by relevancy pruning/SinE : 0
% 8.24/1.52 % Initial clauses : 2
% 8.24/1.52 % Removed in clause preprocessing : 0
% 8.24/1.52 % Initial clauses in saturation : 2
% 8.24/1.52 % Processed clauses : 1782
% 8.24/1.52 % ...of these trivial : 1400
% 8.24/1.52 % ...subsumed : 96
% 8.24/1.52 % ...remaining for further processing : 285
% 8.24/1.52 % Other redundant clauses eliminated : 0
% 8.24/1.52 % Clauses deleted for lack of memory : 0
% 8.24/1.52 % Backward-subsumed : 0
% 8.24/1.52 % Backward-rewritten : 55
% 8.24/1.52 % Generated clauses : 98589
% 8.24/1.52 % ...of the previous two non-redundant : 54549
% 8.24/1.52 % ...aggressively subsumed : 0
% 8.24/1.52 % Contextual simplify-reflections : 0
% 8.24/1.52 % Paramodulations : 98589
% 8.24/1.52 % Factorizations : 0
% 8.24/1.52 % NegExts : 0
% 8.24/1.52 % Equation resolutions : 0
% 8.24/1.52 % Disequality decompositions : 0
% 8.24/1.52 % Total rewrite steps : 307501
% 8.24/1.52 % ...of those cached : 295862
% 8.24/1.52 % Propositional unsat checks : 0
% 8.24/1.52 % Propositional check models : 0
% 8.24/1.52 % Propositional check unsatisfiable : 0
% 8.24/1.52 % Propositional clauses : 0
% 8.24/1.52 % Propositional clauses after purity: 0
% 8.24/1.52 % Propositional unsat core size : 0
% 8.24/1.52 % Propositional preprocessing time : 0.000
% 8.24/1.52 % Propositional encoding time : 0.000
% 8.24/1.52 % Propositional solver time : 0.000
% 8.24/1.52 % Success case prop preproc time : 0.000
% 8.24/1.52 % Success case prop encoding time : 0.000
% 8.24/1.52 % Success case prop solver time : 0.000
% 8.24/1.52 % Current number of processed clauses : 230
% 8.24/1.52 % Positive orientable unit clauses : 228
% 8.24/1.52 % Positive unorientable unit clauses: 2
% 8.24/1.52 % Negative unit clauses : 0
% 8.24/1.52 % Non-unit-clauses : 0
% 8.24/1.52 % Current number of unprocessed clauses: 50529
% 8.24/1.52 % ...number of literals in the above : 50529
% 8.24/1.52 % Current number of archived formulas : 0
% 8.24/1.52 % Current number of archived clauses : 55
% 8.24/1.52 % Clause-clause subsumption calls (NU) : 0
% 8.24/1.52 % Rec. Clause-clause subsumption calls : 0
% 8.24/1.52 % Non-unit clause-clause subsumptions : 0
% 8.24/1.52 % Unit Clause-clause subsumption calls : 46
% 8.24/1.52 % Rewrite failures with RHS unbound : 0
% 8.24/1.52 % BW rewrite match attempts : 3364
% 8.24/1.52 % BW rewrite match successes : 201
% 8.24/1.52 % Condensation attempts : 0
% 8.24/1.52 % Condensation successes : 0
% 8.24/1.52 % Termbank termtop insertions : 8533327
% 8.24/1.52 % Search garbage collected termcells : 17
% 8.24/1.52
% 8.24/1.52 % -------------------------------------------------
% 8.24/1.52 % User time : 1.058 s
% 8.24/1.52 % System time : 0.031 s
% 8.24/1.52 % Total time : 1.089 s
% 8.24/1.52 % Maximum resident set size: 3644 pages
% 8.24/1.52
% 8.24/1.52 % -------------------------------------------------
% 8.24/1.52 % User time : 1.062 s
% 8.24/1.52 % System time : 0.033 s
% 8.24/1.52 % Total time : 1.095 s
% 8.24/1.52 % Maximum resident set size: 4864 pages
% 8.24/1.52 % E exiting
%------------------------------------------------------------------------------