TSTP Solution File: LAT087-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT087-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 : Mon Jun 24 10:24:05 EDT 2024
% Result : Unsatisfiable 234.85s 30.73s
% Output : CNFRefutation 234.85s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X1,meet(meet(join(X3,join(X1,X4)),join(X5,X1)),X1)),meet(X6,join(X1,meet(meet(join(X3,join(X1,X4)),join(X5,X1)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
join(a,meet(a,b)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_8) ).
cnf(c_60,plain,
meet(a,b) = sP0_iProver_def,
definition ).
cnf(c_61,plain,
join(a,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_62,negated_conjecture,
sP1_iProver_def != a,
inference(demodulation,[status(thm)],[c_50,c_60,c_61]) ).
cnf(c_126,plain,
join(meet(join(meet(X0,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(X0,join(meet(X1,X2),meet(X2,join(X1,X2)))))),X3),meet(join(meet(X0,join(join(meet(X4,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X5)),join(meet(X1,X2),meet(X2,join(X1,X2))))),meet(X2,join(X0,join(join(meet(X4,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X5)),join(meet(X1,X2),meet(X2,join(X1,X2))))))),join(join(meet(X0,join(meet(X1,X2),meet(X2,join(X1,X2)))),meet(join(meet(X1,X2),meet(X2,join(X1,X2))),join(X0,join(meet(X1,X2),meet(X2,join(X1,X2)))))),X3))) = join(meet(X1,X2),meet(X2,join(X1,X2))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_424,plain,
join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(join(meet(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)),meet(join(meet(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)),meet(X9,join(X1,meet(meet(join(X6,join(X1,X7)),join(X8,X1)),X1)))),join(X5,join(join(meet(X6,X1),meet(X1,X7)),X1)))),join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
inference(superposition,[status(thm)],[c_49,c_126]) ).
cnf(c_885,plain,
join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X1),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),X1))),X2),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X1),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),X1))),X2))) = X1,
inference(superposition,[status(thm)],[c_49,c_424]) ).
cnf(c_1353,plain,
join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(superposition,[status(thm)],[c_885,c_885]) ).
cnf(c_1436,plain,
join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)),meet(X1,join(X0,join(join(meet(X3,X1),meet(X1,X4)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
inference(superposition,[status(thm)],[c_1353,c_49]) ).
cnf(c_1444,plain,
join(meet(join(meet(X0,a),meet(a,join(X0,a))),X1),meet(join(meet(X0,join(join(meet(X2,a),meet(a,sP0_iProver_def)),a)),meet(join(meet(a,meet(meet(join(X2,sP1_iProver_def),join(X3,a)),a)),meet(X4,join(a,meet(meet(join(X2,sP1_iProver_def),join(X3,a)),a)))),join(X0,join(join(meet(X2,a),meet(a,sP0_iProver_def)),a)))),join(join(meet(X0,a),meet(a,join(X0,a))),X1))) = a,
inference(superposition,[status(thm)],[c_61,c_49]) ).
cnf(c_1450,plain,
join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(X1,X1)),meet(join(meet(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X3,X1)),X1)))),join(X0,join(X1,X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
inference(superposition,[status(thm)],[c_1353,c_49]) ).
cnf(c_1454,plain,
join(meet(X0,X1),meet(join(meet(X0,join(join(meet(X2,X0),meet(X0,X3)),X0)),meet(join(meet(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)),meet(X5,join(X0,meet(meet(join(X2,join(X0,X3)),join(X4,X0)),X0)))),join(X0,join(join(meet(X2,X0),meet(X0,X3)),X0)))),join(X0,X1))) = X0,
inference(superposition,[status(thm)],[c_1353,c_49]) ).
cnf(c_1506,plain,
join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),X6),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),X6))) = join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),
inference(superposition,[status(thm)],[c_49,c_1436]) ).
cnf(c_1518,plain,
join(meet(join(meet(X0,a),meet(a,join(X0,a))),X1),meet(join(meet(X0,join(join(meet(X2,a),sP0_iProver_def),a)),meet(a,join(X0,join(join(meet(X2,a),sP0_iProver_def),a)))),join(join(meet(X0,a),meet(a,join(X0,a))),X1))) = a,
inference(superposition,[status(thm)],[c_60,c_1436]) ).
cnf(c_1541,plain,
join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(X1,join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(X1,join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(X1,join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),X4),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(X1,join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(X1,join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(X1,join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),X4))) = join(meet(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(X1,join(X0,join(join(meet(X2,X1),meet(X1,X3)),X1)))),
inference(superposition,[status(thm)],[c_1436,c_1436]) ).
cnf(c_1607,plain,
join(meet(join(meet(X0,join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(X0,join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),X6),meet(join(meet(X0,join(X1,join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),meet(join(meet(join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)))),meet(meet(join(X1,join(join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(X1,join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),join(X7,join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),meet(X8,join(join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)))),meet(meet(join(X1,join(join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(X1,join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),join(X7,join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)))))),join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)))))))),join(X0,join(X1,join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)))))))),join(join(meet(X0,join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1))))),meet(join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)))),join(X0,join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1))))))),X6))) = join(meet(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)),meet(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)))),join(X1,join(join(meet(X2,X1),meet(X1,X3)),X1)))),
inference(superposition,[status(thm)],[c_1454,c_49]) ).
cnf(c_1689,plain,
join(meet(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(X1,X1)),meet(join(meet(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)),meet(X3,join(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)))),join(X0,join(X1,X1))))),meet(join(meet(X0,join(X1,X1)),meet(join(meet(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)),meet(X3,join(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)))),join(X0,join(X1,X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(X1,X1)),meet(join(meet(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)),meet(X3,join(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)))),join(X0,join(X1,X1))))))),X4),meet(X1,join(join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(X1,X1)),meet(join(meet(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)),meet(X3,join(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)))),join(X0,join(X1,X1))))),meet(join(meet(X0,join(X1,X1)),meet(join(meet(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)),meet(X3,join(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)))),join(X0,join(X1,X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),join(meet(X0,join(X1,X1)),meet(join(meet(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)),meet(X3,join(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)))),join(X0,join(X1,X1))))))),X4))) = join(meet(X0,join(X1,X1)),meet(join(meet(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)),meet(X3,join(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)))),join(X0,join(X1,X1)))),
inference(superposition,[status(thm)],[c_1450,c_1436]) ).
cnf(c_1715,plain,
join(meet(join(meet(join(meet(X0,a),meet(a,join(X0,a))),join(meet(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a)),meet(join(meet(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)),meet(X3,join(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)))),join(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a))))),meet(join(meet(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a)),meet(join(meet(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)),meet(X3,join(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)))),join(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a)))),join(join(meet(X0,a),meet(a,join(X0,a))),join(meet(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a)),meet(join(meet(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)),meet(X3,join(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)))),join(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a))))))),X4),meet(a,join(join(meet(join(meet(X0,a),meet(a,join(X0,a))),join(meet(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a)),meet(join(meet(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)),meet(X3,join(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)))),join(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a))))),meet(join(meet(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a)),meet(join(meet(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)),meet(X3,join(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)))),join(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a)))),join(join(meet(X0,a),meet(a,join(X0,a))),join(meet(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a)),meet(join(meet(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)),meet(X3,join(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)))),join(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a))))))),X4))) = join(meet(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a)),meet(join(meet(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)),meet(X3,join(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)))),join(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a)))),
inference(superposition,[status(thm)],[c_1444,c_1436]) ).
cnf(c_1749,plain,
join(meet(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)),meet(X2,join(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)))) = X2,
inference(demodulation,[status(thm)],[c_1541,c_1353,c_1436]) ).
cnf(c_1756,plain,
join(meet(X0,join(X1,X1)),meet(join(meet(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)),meet(X3,join(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)))),join(X0,join(X1,X1)))) = X1,
inference(demodulation,[status(thm)],[c_1689,c_1353,c_1450]) ).
cnf(c_1759,plain,
join(meet(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a)),meet(join(meet(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)),meet(X3,join(a,meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a)))),join(X0,join(join(meet(X1,a),meet(a,sP0_iProver_def)),a)))) = a,
inference(demodulation,[status(thm)],[c_1715,c_1444,c_1353]) ).
cnf(c_1761,plain,
join(meet(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)),meet(join(meet(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2)))),join(X0,join(join(meet(X1,X2),meet(X2,X3)),X2)))) = X2,
inference(demodulation,[status(thm)],[c_1506,c_49,c_1353]) ).
cnf(c_1793,plain,
join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(X1,join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
inference(demodulation,[status(thm)],[c_1607,c_1756,c_1761]) ).
cnf(c_2495,plain,
join(meet(X0,join(join(meet(X1,a),sP0_iProver_def),a)),meet(a,join(X0,join(join(meet(X1,a),sP0_iProver_def),a)))) = a,
inference(superposition,[status(thm)],[c_1518,c_1749]) ).
cnf(c_2532,plain,
join(meet(X0,join(X1,X1)),meet(X1,join(X0,join(X1,X1)))) = X1,
inference(superposition,[status(thm)],[c_1353,c_1756]) ).
cnf(c_2579,plain,
join(meet(meet(X0,join(X1,X1)),meet(join(meet(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)),meet(X3,join(X1,meet(meet(join(X1,join(X1,join(X1,X1))),join(X2,X1)),X1)))),join(X0,join(X1,X1)))),meet(meet(X0,join(X1,X1)),X1)) = meet(X0,join(X1,X1)),
inference(superposition,[status(thm)],[c_1756,c_1353]) ).
cnf(c_2582,plain,
join(meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)),meet(X2,join(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)))) = X0,
inference(superposition,[status(thm)],[c_1756,c_1793]) ).
cnf(c_2610,plain,
join(meet(a,meet(meet(join(X0,sP1_iProver_def),join(X1,a)),a)),meet(X2,join(a,meet(meet(join(X0,sP1_iProver_def),join(X1,a)),a)))) = a,
inference(superposition,[status(thm)],[c_1759,c_1793]) ).
cnf(c_2745,plain,
join(meet(meet(X0,join(X1,X1)),meet(X1,join(X0,join(X1,X1)))),meet(meet(X0,join(X1,X1)),X1)) = meet(X0,join(X1,X1)),
inference(demodulation,[status(thm)],[c_2579,c_2582]) ).
cnf(c_2914,plain,
join(meet(a,X0),meet(meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a),join(a,X0))) = meet(meet(join(X1,sP1_iProver_def),join(X2,a)),a),
inference(superposition,[status(thm)],[c_2610,c_1793]) ).
cnf(c_2980,plain,
join(meet(X0,X1),meet(meet(meet(join(X0,join(X0,join(X0,X0))),join(X2,X0)),X0),join(X0,X1))) = meet(meet(join(X0,join(X0,join(X0,X0))),join(X2,X0)),X0),
inference(superposition,[status(thm)],[c_2582,c_1793]) ).
cnf(c_2986,plain,
join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_2582,c_1793]) ).
cnf(c_3855,plain,
join(meet(meet(X0,X1),meet(X1,join(X0,X1))),meet(meet(X0,X1),X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_2986,c_1353]) ).
cnf(c_3985,plain,
meet(meet(join(X0,sP1_iProver_def),join(X1,a)),a) = a,
inference(superposition,[status(thm)],[c_2914,c_2582]) ).
cnf(c_4041,plain,
join(meet(meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)),meet(X2,join(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)))),meet(meet(meet(join(meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)),join(meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)),join(meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)),meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0))))),join(X3,meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)))),meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0))),X0)) = meet(meet(join(meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)),join(meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)),join(meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)),meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0))))),join(X3,meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0)))),meet(X0,meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0))),
inference(superposition,[status(thm)],[c_2582,c_2980]) ).
cnf(c_4063,plain,
meet(meet(join(X0,join(X0,join(X0,X0))),join(X1,X0)),X0) = X0,
inference(superposition,[status(thm)],[c_2980,c_2582]) ).
cnf(c_4157,plain,
join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X0,X0),X0)) = meet(X0,X0),
inference(demodulation,[status(thm)],[c_4041,c_4063]) ).
cnf(c_4168,plain,
join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
inference(demodulation,[status(thm)],[c_2582,c_4063]) ).
cnf(c_4257,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_4168,c_2532]) ).
cnf(c_4260,plain,
join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
inference(superposition,[status(thm)],[c_4168,c_1749]) ).
cnf(c_4262,plain,
join(join(meet(X0,a),sP0_iProver_def),a) = a,
inference(superposition,[status(thm)],[c_4168,c_2495]) ).
cnf(c_4307,plain,
join(meet(X0,X0),join(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_4063,c_4168]) ).
cnf(c_4311,plain,
join(meet(meet(join(X0,join(X0,join(X0,X0))),join(X0,X0)),meet(X0,join(join(X0,join(X0,join(X0,X0))),join(X0,X0)))),X0) = meet(join(X0,join(X0,join(X0,X0))),join(X0,X0)),
inference(superposition,[status(thm)],[c_4063,c_2745]) ).
cnf(c_4371,plain,
join(meet(meet(X0,X0),join(X0,X0)),meet(meet(X0,X0),X0)) = meet(X0,X0),
inference(superposition,[status(thm)],[c_4063,c_4157]) ).
cnf(c_4378,plain,
meet(meet(join(meet(meet(X0,X0),X0),join(meet(meet(X0,X0),X0),join(meet(meet(X0,X0),X0),meet(meet(X0,X0),X0)))),meet(X0,X0)),meet(meet(X0,X0),X0)) = meet(meet(X0,X0),X0),
inference(superposition,[status(thm)],[c_4157,c_4063]) ).
cnf(c_4490,plain,
join(meet(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c_4307,c_4257]) ).
cnf(c_4492,plain,
meet(meet(X0,X0),X0) = meet(X0,X0),
inference(demodulation,[status(thm)],[c_4371,c_4257]) ).
cnf(c_4517,plain,
meet(meet(X0,X0),meet(X0,X0)) = meet(X0,X0),
inference(demodulation,[status(thm)],[c_4378,c_4257,c_4492]) ).
cnf(c_4520,plain,
meet(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_4311,c_4257,c_4490,c_4517]) ).
cnf(c_4581,plain,
meet(meet(join(X0,join(X0,X0)),join(X1,X0)),X0) = X0,
inference(demodulation,[status(thm)],[c_4063,c_4257]) ).
cnf(c_4582,plain,
join(meet(X0,X0),meet(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_4168,c_4257]) ).
cnf(c_4585,plain,
join(X0,meet(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_4582,c_4520]) ).
cnf(c_4586,plain,
meet(meet(X0,join(X1,X0)),X0) = X0,
inference(demodulation,[status(thm)],[c_4581,c_4257]) ).
cnf(c_5655,plain,
join(join(a,sP0_iProver_def),a) = a,
inference(superposition,[status(thm)],[c_4586,c_4262]) ).
cnf(c_5670,plain,
join(meet(X0,X1),X1) = X1,
inference(superposition,[status(thm)],[c_4585,c_4260]) ).
cnf(c_5700,plain,
meet(meet(sP1_iProver_def,join(X0,a)),a) = a,
inference(superposition,[status(thm)],[c_4260,c_3985]) ).
cnf(c_5824,plain,
join(sP1_iProver_def,a) = a,
inference(demodulation,[status(thm)],[c_5655,c_61]) ).
cnf(c_6440,plain,
join(meet(meet(sP1_iProver_def,a),meet(a,a)),meet(meet(sP1_iProver_def,a),a)) = meet(sP1_iProver_def,a),
inference(superposition,[status(thm)],[c_5824,c_3855]) ).
cnf(c_6445,plain,
join(meet(sP1_iProver_def,a),meet(sP1_iProver_def,a)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_5824,c_1353]) ).
cnf(c_6586,plain,
meet(meet(sP1_iProver_def,a),a) = a,
inference(superposition,[status(thm)],[c_4257,c_5700]) ).
cnf(c_6734,plain,
meet(sP1_iProver_def,a) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_6445,c_4257]) ).
cnf(c_6755,plain,
join(meet(sP1_iProver_def,meet(a,a)),a) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_6440,c_6586,c_6734]) ).
cnf(c_6756,plain,
a = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_6755,c_4520,c_5670]) ).
cnf(c_6920,plain,
sP1_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_62,c_6756]) ).
cnf(c_6921,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_6920]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT087-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jun 21 20:02:39 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.20/0.46 Running UEQ theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 234.85/30.73 % SZS status Started for theBenchmark.p
% 234.85/30.73 % SZS status Unsatisfiable for theBenchmark.p
% 234.85/30.73
% 234.85/30.73 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 234.85/30.73
% 234.85/30.73 ------ iProver source info
% 234.85/30.73
% 234.85/30.73 git: date: 2024-06-12 09:56:46 +0000
% 234.85/30.73 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 234.85/30.73 git: non_committed_changes: false
% 234.85/30.73
% 234.85/30.73 ------ Parsing...successful
% 234.85/30.73
% 234.85/30.73
% 234.85/30.73
% 234.85/30.73 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 234.85/30.73
% 234.85/30.73 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 234.85/30.73
% 234.85/30.73 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 234.85/30.73 ------ Proving...
% 234.85/30.73 ------ Problem Properties
% 234.85/30.73
% 234.85/30.73
% 234.85/30.73 clauses 4
% 234.85/30.73 conjectures 1
% 234.85/30.73 EPR 1
% 234.85/30.73 Horn 4
% 234.85/30.73 unary 4
% 234.85/30.73 binary 0
% 234.85/30.73 lits 4
% 234.85/30.73 lits eq 4
% 234.85/30.73 fd_pure 0
% 234.85/30.73 fd_pseudo 0
% 234.85/30.73 fd_cond 0
% 234.85/30.73 fd_pseudo_cond 0
% 234.85/30.73 AC symbols 0
% 234.85/30.73
% 234.85/30.73 ------ Input Options Time Limit: Unbounded
% 234.85/30.73
% 234.85/30.73
% 234.85/30.73 ------
% 234.85/30.73 Current options:
% 234.85/30.73 ------
% 234.85/30.73
% 234.85/30.73
% 234.85/30.73
% 234.85/30.73
% 234.85/30.73 ------ Proving...
% 234.85/30.73
% 234.85/30.73
% 234.85/30.73 % SZS status Unsatisfiable for theBenchmark.p
% 234.85/30.73
% 234.85/30.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 234.85/30.73
% 234.85/30.73
%------------------------------------------------------------------------------