%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT007-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 : Tue Sep 29 11:45:49 AM UTC 2026
% Result : Unsatisfiable 6.24s 1.88s
% Output : Refutation 7.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 3
% Syntax : Number of formulae : 123 ( 123 unt; 0 def)
% Number of atoms : 123 ( 122 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 6 ( 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 : 342 ( 342 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption) ).
fof(f2,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X2,X0),meet(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribution) ).
fof(f3,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity_of_join) ).
fof(f4,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X2,X0)) = join(X0,meet(X2,join(X0,X1))),
inference(superposition,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X0,X1] : meet(join(X1,X2),join(X1,X0)) = join(meet(X0,join(X1,X2)),X1),
inference(superposition,[],[f2,f1]) ).
fof(f6,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X1,join(X2,X0))),
inference(superposition,[],[f1,f2]) ).
fof(f14,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(join(X0,X1),join(X0,X1))),
inference(superposition,[],[f4,f1]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(meet(X1,join(X0,X1)),X0)),
inference(forward_demodulation,[],[f14,f5]) ).
fof(f24,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f6,f1]) ).
fof(f39,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(meet(X2,X1),X0)),
inference(superposition,[],[f2,f24]) ).
fof(f40,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(X2,meet(X0,X1))),
inference(superposition,[],[f2,f24]) ).
fof(f41,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f40,f2]) ).
fof(f42,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(meet(X2,X1),X0)),
inference(forward_demodulation,[],[f39,f2]) ).
fof(f48,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),X2)) = meet(X1,meet(X1,join(X2,X0))),
inference(superposition,[],[f41,f2]) ).
fof(f61,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = meet(X1,meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f48,f42]) ).
fof(f63,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = meet(X0,X0),
inference(superposition,[],[f61,f1]) ).
fof(f74,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(meet(X1,X1),X0)),
inference(backward_demodulation,[],[f18,f63]) ).
fof(f77,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f63,f1]) ).
fof(f82,plain,
! [X0,X1] : meet(X0,X0) = meet(meet(X0,X0),join(X1,X0)),
inference(superposition,[],[f24,f63]) ).
fof(f84,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(X0,X2)) = join(meet(X2,join(X1,X0)),meet(X0,X0)),
inference(superposition,[],[f2,f63]) ).
fof(f85,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(X2,X0)) = join(meet(X0,X0),meet(X2,join(X1,X0))),
inference(superposition,[],[f2,f63]) ).
fof(f91,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(backward_demodulation,[],[f74,f77]) ).
fof(f93,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(backward_demodulation,[],[f82,f77]) ).
fof(f95,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(X0,X2)) = join(meet(X2,join(X1,X0)),X0),
inference(backward_demodulation,[],[f84,f77]) ).
fof(f96,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(X2,X0)) = join(X0,meet(X2,join(X1,X0))),
inference(backward_demodulation,[],[f85,f77]) ).
fof(f123,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(X1,X0)),
inference(superposition,[],[f2,f77]) ).
fof(f124,plain,
! [X0,X1] : join(X1,X0) = join(meet(X0,join(X1,X0)),X1),
inference(superposition,[],[f5,f77]) ).
fof(f126,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(forward_demodulation,[],[f124,f93]) ).
fof(f127,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[],[f123,f93]) ).
fof(f132,plain,
join(a,join(b,c)) != join(c,join(a,b)),
inference(backward_demodulation,[],[f3,f126]) ).
fof(f138,plain,
! [X2,X0,X1] : meet(join(X1,X2),join(X1,X0)) = join(X1,meet(X0,join(X1,X2))),
inference(backward_demodulation,[],[f5,f126]) ).
fof(f139,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(X0,X2)) = join(X0,meet(X2,join(X1,X0))),
inference(backward_demodulation,[],[f95,f126]) ).
fof(f149,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f127,f77]) ).
fof(f151,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f127,f1]) ).
fof(f152,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),join(X1,meet(X0,join(X1,X2)))),
inference(superposition,[],[f127,f4]) ).
fof(f160,plain,
! [X2,X0,X1] : meet(X2,join(meet(X1,X0),X0)) = meet(X2,meet(X2,X0)),
inference(superposition,[],[f61,f127]) ).
fof(f161,plain,
! [X2,X0,X1] : meet(X2,join(X0,meet(X1,X0))) = meet(X2,meet(X2,X0)),
inference(forward_demodulation,[],[f160,f126]) ).
fof(f165,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f151,f126]) ).
fof(f166,plain,
! [X2,X0] : meet(X2,X0) = meet(X2,meet(X2,X0)),
inference(forward_demodulation,[],[f161,f127]) ).
fof(f183,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(X0,X0)),
inference(superposition,[],[f2,f149]) ).
fof(f184,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,X1),
inference(forward_demodulation,[],[f183,f149]) ).
fof(f188,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(backward_demodulation,[],[f24,f184]) ).
fof(f223,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X1,X0),meet(X2,X1)),
inference(superposition,[],[f2,f184]) ).
fof(f226,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,join(X0,meet(X2,X1))),
inference(superposition,[],[f41,f184]) ).
fof(f240,plain,
! [X0,X1] : join(join(X1,X0),X0) = join(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f91,f91]) ).
fof(f249,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(join(X1,X0),join(X0,X1)),
inference(forward_demodulation,[],[f240,f126]) ).
fof(f253,plain,
! [X0,X1] : join(X0,X1) = join(join(X1,X0),join(X0,X1)),
inference(forward_demodulation,[],[f249,f91]) ).
fof(f279,plain,
! [X2,X0,X1] : meet(meet(X1,X2),join(X2,X0)) = join(meet(X0,meet(X1,X2)),meet(X1,X2)),
inference(superposition,[],[f2,f188]) ).
fof(f281,plain,
! [X2,X0,X1] : meet(meet(X2,X1),join(X0,X1)) = meet(meet(X2,X1),join(X0,meet(X2,X1))),
inference(superposition,[],[f41,f188]) ).
fof(f283,plain,
! [X2,X0,X1] : meet(X2,X1) = meet(meet(X2,X1),join(X0,X1)),
inference(forward_demodulation,[],[f281,f93]) ).
fof(f285,plain,
! [X2,X0,X1] : meet(meet(X1,X2),join(X2,X0)) = join(meet(X1,X2),meet(X0,meet(X1,X2))),
inference(forward_demodulation,[],[f279,f126]) ).
fof(f291,plain,
! [X2,X0,X1] : meet(X1,X2) = meet(meet(X1,X2),join(X2,X0)),
inference(forward_demodulation,[],[f285,f127]) ).
fof(f324,plain,
! [X2,X0,X1] : join(X1,meet(join(X1,X2),join(X1,X0))) = meet(join(X1,X0),join(X1,X2)),
inference(superposition,[],[f138,f165]) ).
fof(f336,plain,
! [X2,X0,X1] : join(X2,meet(X1,join(X2,X0))) = meet(join(X2,X1),join(X2,X0)),
inference(superposition,[],[f184,f138]) ).
fof(f344,plain,
! [X2,X0,X1] : join(X1,meet(join(X1,X2),join(X1,X0))) = join(X1,meet(X2,join(X1,X0))),
inference(forward_demodulation,[],[f324,f138]) ).
fof(f354,plain,
! [X2,X0,X1] : join(X1,meet(X2,join(X1,X0))) = join(X1,join(X1,meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f344,f138]) ).
fof(f357,plain,
! [X2,X0,X1] : join(X1,meet(X0,join(X1,X2))) = join(X1,meet(X2,join(X1,X0))),
inference(forward_demodulation,[],[f354,f165]) ).
fof(f370,plain,
! [X2,X0,X1] : join(meet(X0,meet(X1,X2)),meet(X1,X2)) = meet(meet(X1,X2),join(X1,X0)),
inference(superposition,[],[f2,f166]) ).
fof(f378,plain,
! [X2,X0,X1] : join(meet(X1,X2),meet(X0,meet(X1,X2))) = meet(meet(X1,X2),join(X1,X0)),
inference(forward_demodulation,[],[f370,f126]) ).
fof(f385,plain,
! [X2,X0,X1] : meet(X1,X2) = meet(meet(X1,X2),join(X1,X0)),
inference(forward_demodulation,[],[f378,f127]) ).
fof(f446,plain,
! [X2,X0,X1] : meet(X0,join(join(X0,X1),X2)) = X0,
inference(superposition,[],[f291,f1]) ).
fof(f450,plain,
! [X2,X0,X1] : meet(X0,join(join(X1,X0),X2)) = X0,
inference(superposition,[],[f291,f93]) ).
fof(f512,plain,
! [X2,X0,X1] : join(join(X1,X2),X0) = join(join(join(X1,X2),X0),X1),
inference(superposition,[],[f127,f446]) ).
fof(f520,plain,
! [X2,X0,X1] : join(join(X1,X2),X0) = join(X1,join(join(X1,X2),X0)),
inference(forward_demodulation,[],[f512,f126]) ).
fof(f538,plain,
! [X2,X0,X1] : meet(X1,join(X0,join(X2,X1))) = X1,
inference(superposition,[],[f450,f126]) ).
fof(f707,plain,
! [X2,X0,X1] : join(X1,meet(X0,join(X2,X1))) = meet(join(X1,X0),join(X1,meet(X0,join(X2,X1)))),
inference(superposition,[],[f188,f139]) ).
fof(f710,plain,
! [X2,X0,X1] : join(X1,meet(X0,join(X2,X1))) = join(X1,meet(meet(X0,join(X2,X1)),join(X1,X0))),
inference(forward_demodulation,[],[f707,f138]) ).
fof(f728,plain,
! [X2,X0,X1] : join(X1,meet(X0,join(X2,X1))) = join(X1,meet(X0,join(X1,meet(X0,join(X2,X1))))),
inference(forward_demodulation,[],[f710,f357]) ).
fof(f740,plain,
! [X2,X0,X1] : join(X1,meet(X0,join(X2,X1))) = join(X1,meet(X0,join(X1,join(X2,X1)))),
inference(forward_demodulation,[],[f728,f226]) ).
fof(f745,plain,
! [X2,X0,X1] : join(X1,meet(X0,join(X1,X2))) = join(X1,meet(X0,join(X2,X1))),
inference(forward_demodulation,[],[f740,f91]) ).
fof(f828,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(X1,X0),join(join(X0,X1),X2)),
inference(superposition,[],[f520,f253]) ).
fof(f934,plain,
! [X2,X0,X1] : join(X2,X1) = join(join(X2,X1),meet(X2,X0)),
inference(superposition,[],[f127,f385]) ).
fof(f1040,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),meet(X1,X2)),
inference(superposition,[],[f934,f126]) ).
fof(f1282,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(join(X1,X2),meet(X0,X2)),
inference(superposition,[],[f188,f283]) ).
fof(f1328,plain,
! [X2,X0,X1] : join(X1,join(X0,X2)) = join(join(X1,join(X0,X2)),X2),
inference(superposition,[],[f127,f538]) ).
fof(f1348,plain,
! [X2,X0,X1] : join(X1,join(X0,X2)) = join(X2,join(X1,join(X0,X2))),
inference(forward_demodulation,[],[f1328,f126]) ).
fof(f1384,plain,
! [X2,X3,X0,X1] : join(X3,join(X1,X2)) = join(join(X3,join(X1,X2)),join(X1,meet(X0,join(X1,X2)))),
inference(superposition,[],[f1040,f4]) ).
fof(f3742,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(meet(join(X0,X1),X2),X0),
inference(superposition,[],[f223,f1]) ).
fof(f3858,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X1),X2)),
inference(forward_demodulation,[],[f3742,f126]) ).
fof(f3904,plain,
! [X2,X0,X1] : join(X0,meet(X1,join(X0,X2))) = join(X0,meet(join(X0,X1),X2)),
inference(forward_demodulation,[],[f3858,f336]) ).
fof(f3955,plain,
! [X2,X0,X1] : join(X2,join(X1,meet(X0,join(X2,X1)))) = join(X2,meet(X1,join(X2,join(X0,X1)))),
inference(superposition,[],[f3904,f96]) ).
fof(f3963,plain,
! [X2,X0,X1] : join(X2,meet(X1,X0)) = join(X2,meet(X0,join(X2,meet(X1,X0)))),
inference(superposition,[],[f3904,f1282]) ).
fof(f4042,plain,
! [X2,X0,X1] : join(X2,meet(X1,X0)) = join(X2,meet(X0,join(X2,X1))),
inference(forward_demodulation,[],[f3963,f41]) ).
fof(f4049,plain,
! [X2,X0,X1] : join(X2,X1) = join(X2,join(X1,meet(X0,join(X2,X1)))),
inference(forward_demodulation,[],[f3955,f538]) ).
fof(f4094,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(X0,X1),join(X1,meet(X2,X0))),
inference(backward_demodulation,[],[f152,f4042]) ).
fof(f4101,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = join(X1,meet(X0,join(X2,X1))),
inference(backward_demodulation,[],[f745,f4042]) ).
fof(f4108,plain,
! [X2,X3,X0,X1] : join(X3,join(X1,X2)) = join(join(X3,join(X1,X2)),join(X1,meet(X2,X0))),
inference(backward_demodulation,[],[f1384,f4042]) ).
fof(f4259,plain,
! [X2,X0,X1] : join(X2,X1) = join(X2,join(X1,meet(X2,X0))),
inference(backward_demodulation,[],[f4049,f4101]) ).
fof(f4763,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(join(X0,X1),X2),join(X2,X0)),
inference(superposition,[],[f4094,f1]) ).
fof(f4766,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(join(join(X1,X0),X2),join(X2,X0)),
inference(superposition,[],[f4094,f93]) ).
fof(f4893,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(join(X2,X0),join(join(X1,X0),X2)),
inference(forward_demodulation,[],[f4766,f126]) ).
fof(f4894,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(X2,X0),join(join(X0,X1),X2)),
inference(forward_demodulation,[],[f4763,f126]) ).
fof(f4923,plain,
! [X2,X0,X1] : join(join(X1,X2),X0) = join(join(X1,X0),join(join(X1,X2),X0)),
inference(superposition,[],[f4894,f126]) ).
fof(f4977,plain,
! [X2,X0,X1] : join(X1,X2) = join(join(join(X2,meet(X0,X1)),X1),join(X1,X2)),
inference(superposition,[],[f4894,f4094]) ).
fof(f4981,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(join(X2,join(X0,X1)),X0),join(join(X0,X1),X2)),
inference(superposition,[],[f4894,f91]) ).
fof(f5076,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(join(X0,X1),X2),join(join(X2,join(X0,X1)),X0)),
inference(forward_demodulation,[],[f4981,f126]) ).
fof(f5080,plain,
! [X2,X0,X1] : join(X1,X2) = join(join(X1,X2),join(join(X2,meet(X0,X1)),X1)),
inference(forward_demodulation,[],[f4977,f126]) ).
fof(f5110,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(X2,join(X0,X1)),X0),
inference(forward_demodulation,[],[f5076,f828]) ).
fof(f5114,plain,
! [X2,X0,X1] : join(X1,X2) = join(join(X2,meet(X0,X1)),X1),
inference(forward_demodulation,[],[f5080,f4894]) ).
fof(f5127,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X2,join(X0,X1))),
inference(forward_demodulation,[],[f5110,f126]) ).
fof(f5131,plain,
! [X2,X0,X1] : join(X1,X2) = join(X1,join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f5114,f126]) ).
fof(f5244,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(X0,X1),join(X2,X0)),
inference(superposition,[],[f5131,f1]) ).
fof(f5247,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(join(X1,X0),join(X2,X0)),
inference(superposition,[],[f5131,f93]) ).
fof(f5250,plain,
! [X2,X3,X0,X1] : join(join(X1,join(X0,X2)),X3) = join(join(X1,join(X0,X2)),join(X3,X2)),
inference(superposition,[],[f5131,f538]) ).
fof(f5371,plain,
! [X2,X0,X1] : join(join(X1,X2),X0) = join(join(X1,X0),join(X1,X2)),
inference(backward_demodulation,[],[f4923,f5247]) ).
fof(f5379,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(join(X2,X0),join(X1,X0)),
inference(backward_demodulation,[],[f4893,f5244]) ).
fof(f5380,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(X2,X0),join(X0,X1)),
inference(backward_demodulation,[],[f4894,f5244]) ).
fof(f5686,plain,
! [X2,X0,X1] : join(join(X0,X1),join(X1,X2)) = join(X0,join(join(X1,X2),X0)),
inference(superposition,[],[f5127,f5244]) ).
fof(f5740,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),join(X1,X2)),
inference(forward_demodulation,[],[f5686,f91]) ).
fof(f6093,plain,
! [X2,X3,X0,X1] : join(join(X2,join(X1,X0)),X3) = join(join(X0,X3),join(X2,join(X1,X0))),
inference(superposition,[],[f5371,f1348]) ).
fof(f6171,plain,
! [X2,X3,X0,X1] : join(join(join(X2,X0),X1),X3) = join(join(X3,join(X2,X1)),join(join(X2,X0),X1)),
inference(superposition,[],[f5380,f5371]) ).
fof(f6174,plain,
! [X2,X3,X0,X1] : join(join(join(X2,X0),X1),X3) = join(join(X3,join(X2,X1)),join(X2,X0)),
inference(forward_demodulation,[],[f6171,f5250]) ).
fof(f6233,plain,
! [X2,X3,X0,X1] : join(X3,join(X1,X2)) = join(join(join(X1,meet(X2,X0)),X2),X3),
inference(backward_demodulation,[],[f4108,f6174]) ).
fof(f6262,plain,
! [X2,X3,X0,X1] : join(X3,join(X1,X2)) = join(join(X2,join(X1,meet(X2,X0))),X3),
inference(forward_demodulation,[],[f6233,f126]) ).
fof(f6271,plain,
! [X2,X3,X1] : join(X3,join(X1,X2)) = join(join(X2,X1),X3),
inference(forward_demodulation,[],[f6262,f4259]) ).
fof(f6421,plain,
! [X2,X0,X1] : join(join(X2,X1),X0) = join(join(X2,X1),join(X1,X0)),
inference(superposition,[],[f5379,f6271]) ).
fof(f6431,plain,
! [X2,X0,X1] : join(X2,join(X1,X0)) = join(join(X0,X1),join(X2,join(X1,X0))),
inference(superposition,[],[f165,f6271]) ).
fof(f6487,plain,
! [X2,X0,X1] : join(X2,join(X1,X0)) = join(join(X2,join(X1,X0)),X1),
inference(forward_demodulation,[],[f6431,f6093]) ).
fof(f6491,plain,
! [X2,X0,X1] : join(join(X2,X1),X0) = join(X2,join(X1,X0)),
inference(forward_demodulation,[],[f6421,f5740]) ).
fof(f6541,plain,
! [X2,X0,X1] : join(X2,join(X1,X0)) = join(X1,join(join(X1,X0),X2)),
inference(forward_demodulation,[],[f6487,f6271]) ).
fof(f6813,plain,
! [X2,X0,X1] : join(X2,join(X1,X0)) = join(X1,join(X1,join(X0,X2))),
inference(forward_demodulation,[],[f6541,f6491]) ).
fof(f6967,plain,
! [X2,X0,X1] : join(X2,join(X1,X0)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[],[f6813,f165]) ).
fof(f7074,plain,
$false,
inference(backward_subsumption_resolution,[],[f132,f6967]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT007-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 13:55:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.24/1.88 % (2987312)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.24/1.88 % (2987320)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=872144228:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.24/1.88 % (2987320)Instruction limit reached!
% 6.24/1.88 % (2987320)------------------------------
% 6.24/1.88 % (2987320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (2987320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (2987320)CaDiCaL version: 2.1.3
% 6.24/1.88 % (2987320)Termination reason: Instruction limit
% 6.24/1.88 % (2987320)Termination phase: Saturation
% 6.24/1.88 % (2987320)Time elapsed: 0.044 s
% 6.24/1.88 % (2987320)Peak memory usage: 88 MB
% 6.24/1.88 % (2987320)Instructions burned: 136 (million)
% 6.24/1.88 % (2987322)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2394551969:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.24/1.88 % (2987323)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=293316175:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.24/1.88 % (2987319)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3843553628:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.24/1.88 % (2987318)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1072031553:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.24/1.88 % (2987317)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2232315881:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.24/1.88 % (2987321)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2050248450:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.24/1.88 % (2987331)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1916937728:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 6.24/1.88 % (2987321)Instruction limit reached!
% 6.24/1.88 % (2987321)------------------------------
% 6.24/1.88 % (2987321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (2987321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (2987321)CaDiCaL version: 2.1.3
% 6.24/1.88 % (2987321)Termination reason: Instruction limit
% 6.24/1.88 % (2987321)Termination phase: Saturation
% 6.24/1.88 % (2987321)Time elapsed: 0.101 s
% 6.24/1.88 % (2987321)Peak memory usage: 89 MB
% 6.24/1.88 % (2987321)Instructions burned: 182 (million)
% 6.24/1.88 % (2987322)Instruction limit reached!
% 6.24/1.88 % (2987322)------------------------------
% 6.24/1.88 % (2987322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (2987322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (2987322)CaDiCaL version: 2.1.3
% 6.24/1.88 % (2987322)Termination reason: Instruction limit
% 6.24/1.88 % (2987322)Termination phase: Saturation
% 6.24/1.88 % (2987322)Time elapsed: 0.166 s
% 6.24/1.88 % (2987322)Peak memory usage: 89 MB
% 6.24/1.88 % (2987322)Instructions burned: 258 (million)
% 6.24/1.88 % (2987333)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2769618310:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 6.24/1.88 % (2987334)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3172800351:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 6.24/1.88 % (2987334)Instruction limit reached!
% 6.24/1.88 % (2987334)------------------------------
% 6.24/1.88 % (2987334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (2987334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (2987334)CaDiCaL version: 2.1.3
% 6.24/1.88 % (2987334)Termination reason: Instruction limit
% 6.24/1.88 % (2987334)Termination phase: Saturation
% 6.24/1.88 % (2987334)Time elapsed: 0.088 s
% 6.24/1.88 % (2987334)Peak memory usage: 99 MB
% 6.24/1.88 % (2987334)Instructions burned: 216 (million)
% 6.24/1.88 % (2987337)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3666593797:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 6.24/1.88 % (2987323)Instruction limit reached!
% 6.24/1.88 % (2987323)------------------------------
% 6.24/1.88 % (2987323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (2987323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (2987323)CaDiCaL version: 2.1.3
% 6.24/1.88 % (2987323)Termination reason: Instruction limit
% 6.24/1.88 % (2987323)Termination phase: Saturation
% 6.24/1.88 % (2987323)Time elapsed: 0.643 s
% 6.24/1.88 % (2987323)Peak memory usage: 96 MB
% 6.24/1.88 % (2987323)Instructions burned: 1188 (million)
% 6.24/1.88 % (2987337)Instruction limit reached!
% 6.24/1.88 % (2987337)------------------------------
% 6.24/1.88 % (2987337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (2987337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (2987337)CaDiCaL version: 2.1.3
% 6.24/1.88 % (2987337)Termination reason: Instruction limit
% 6.24/1.88 % (2987337)Termination phase: Saturation
% 6.24/1.88 % (2987337)Time elapsed: 0.200 s
% 6.24/1.88 % (2987337)Peak memory usage: 94 MB
% 6.24/1.88 % (2987337)Instructions burned: 317 (million)
% 6.24/1.88 % (2987331)First to succeed.
% 6.24/1.88 % (2987331)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2987312"
% 6.24/1.88 % (2987339)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=4267250607:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 6.24/1.88 % (2987340)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2322379415:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 6.24/1.88 % (2987331)Refutation found. Thanks to Tanya!
% 6.24/1.88 % SZS status Unsatisfiable for theBenchmark
% 6.24/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 7.88/2.07 % (2987331)------------------------------
% 7.88/2.07 % (2987331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.07 % (2987331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.07 % (2987331)CaDiCaL version: 2.1.3
% 7.88/2.07 % (2987331)Termination reason: Refutation
% 7.88/2.07 % (2987331)Time elapsed: 0.637 s
% 7.88/2.07 % (2987331)Peak memory usage: 138 MB
% 7.88/2.07 % (2987331)Instructions burned: 1768 (million)
% 7.88/2.07 % (2987331)------------------------------
% 7.88/2.07 % (2987331)------------------------------
% 7.88/2.07 % (2987312)Success in time 1.03 s
% 7.88/2.07 % Vampire exiting
%------------------------------------------------------------------------------