%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT165-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 11:46:07 AM UTC 2026
% Result : Unsatisfiable 28.85s 5.04s
% Output : Refutation 29.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 10
% Syntax : Number of formulae : 95 ( 95 unt; 1 def)
% Number of atoms : 95 ( 90 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 292 ( 292 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X1,X3)))) = meet(X0,join(X1,meet(X2,join(X3,meet(X0,X1))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H76) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(c,join(b,d)))) != meet(a,join(b,meet(c,join(d,meet(a,meet(b,c)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H77) ).
fof(f11,definition,
~ sP0(meet(a,join(b,meet(c,join(b,d))))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f12,plain,
sP0(meet(a,join(b,meet(c,join(d,meet(a,meet(b,c))))))),
inference(inequality_splitting,[],[f10,f11]) ).
fof(f16,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f18,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f18,f4]) ).
fof(f23,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f19,f5]) ).
fof(f24,plain,
! [X2,X0,X1] : meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[],[f7,f3]) ).
fof(f44,plain,
! [X2,X3,X0,X1] : meet(X1,join(X0,meet(X2,join(X0,X3)))) = meet(X1,join(X0,meet(X2,join(X3,meet(X0,X1))))),
inference(superposition,[],[f9,f5]) ).
fof(f46,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,meet(X2,join(X1,X0)))),
inference(superposition,[],[f9,f4]) ).
fof(f48,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X3,join(X1,X2)))) = meet(X0,join(X1,meet(X3,join(meet(X0,X1),X2)))),
inference(superposition,[],[f9,f6]) ).
fof(f50,plain,
! [X2,X3,X0,X1] : meet(X2,join(join(X3,meet(X0,X1)),meet(X0,join(join(X3,meet(X0,X1)),X1)))) = meet(X2,join(join(X3,meet(X0,X1)),meet(X0,join(X1,meet(X2,join(X1,X3)))))),
inference(superposition,[],[f9,f9]) ).
fof(f53,plain,
! [X2,X3,X0,X1] : meet(X1,join(X2,meet(X3,join(X2,X0)))) = meet(X1,join(X2,meet(join(X0,meet(X1,X2)),X3))),
inference(superposition,[],[f9,f5]) ).
fof(f67,plain,
! [X2,X3,X0,X1] : meet(X2,join(join(X3,meet(X0,X1)),meet(X0,join(join(X3,meet(X0,X1)),X1)))) = meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(X1,meet(X2,join(X1,X3))))))),
inference(forward_demodulation,[],[f50,f8]) ).
fof(f75,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(X1,meet(X2,join(X1,X3))))))) = meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(join(X3,meet(X0,X1)),X1))))),
inference(forward_demodulation,[],[f67,f8]) ).
fof(f81,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(X1,meet(X2,join(X1,X3))))))) = meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(X1,join(X3,meet(X0,X1))))))),
inference(forward_demodulation,[],[f75,f6]) ).
fof(f85,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f94,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f97,plain,
! [X2,X3,X0,X1,X4] : meet(X2,join(X3,meet(X4,join(X3,join(X0,X1))))) = meet(X2,join(X3,meet(X4,join(X0,join(X1,meet(X2,X3)))))),
inference(superposition,[],[f9,f8]) ).
fof(f98,plain,
! [X2,X3,X0,X1,X4] : meet(X4,join(join(X0,X1),meet(X2,join(join(X0,X1),X3)))) = meet(X4,join(X0,join(X1,meet(X2,join(X3,meet(X4,join(X0,X1))))))),
inference(superposition,[],[f9,f8]) ).
fof(f99,plain,
! [X2,X3,X0,X1,X4] : meet(X4,join(X0,join(X1,meet(X2,join(X3,meet(X4,join(X0,X1))))))) = meet(X4,join(X0,join(X1,meet(X2,join(join(X0,X1),X3))))),
inference(forward_demodulation,[],[f98,f8]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X4] : meet(X4,join(X0,join(X1,meet(X2,join(X3,meet(X4,join(X0,X1))))))) = meet(X4,join(X0,join(X1,meet(X2,join(X0,join(X1,X3)))))),
inference(forward_demodulation,[],[f99,f8]) ).
fof(f103,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f16,f3]) ).
fof(f105,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X3,meet(X0,X1)))) = join(join(X1,meet(X2,join(X3,meet(X0,X1)))),meet(X0,join(X1,meet(X2,join(X1,X3))))),
inference(superposition,[],[f16,f9]) ).
fof(f111,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f16]) ).
fof(f114,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(X2,join(X0,X1)))),
inference(superposition,[],[f8,f16]) ).
fof(f117,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X3,meet(X0,X1)))) = join(meet(X0,join(X1,meet(X2,join(X1,X3)))),join(X1,meet(X2,join(X3,meet(X0,X1))))),
inference(forward_demodulation,[],[f105,f6]) ).
fof(f119,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f103,f6]) ).
fof(f121,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X3,meet(X0,X1)))) = join(meet(X2,join(X3,meet(X0,X1))),join(meet(X0,join(X1,meet(X2,join(X1,X3)))),X1)),
inference(forward_demodulation,[],[f117,f94]) ).
fof(f122,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X3,meet(X0,X1)))) = join(X1,join(meet(X2,join(X3,meet(X0,X1))),meet(X0,join(X1,meet(X2,join(X1,X3)))))),
inference(forward_demodulation,[],[f121,f94]) ).
fof(f274,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X2,X1))) = meet(X1,join(X0,meet(join(X0,X1),X2))),
inference(superposition,[],[f46,f5]) ).
fof(f284,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(join(X1,X0),join(X1,X2)))) = meet(X0,join(X1,meet(join(X2,meet(X0,X1)),X0))),
inference(superposition,[],[f53,f46]) ).
fof(f299,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(join(X1,X0),join(X1,X2)))) = meet(X0,join(X1,meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f284,f53]) ).
fof(f316,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,join(X1,X2)))) = meet(X0,join(X1,meet(join(X1,X2),X0))),
inference(forward_demodulation,[],[f299,f274]) ).
fof(f351,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(meet(X0,X2),X1),join(X0,X1)),
inference(superposition,[],[f18,f85]) ).
fof(f355,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(X0,X1),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f351,f5]) ).
fof(f378,plain,
! [X2,X0,X1] : meet(X1,join(X2,join(X0,meet(X1,X2)))) = meet(X1,join(X2,meet(join(X0,meet(X1,X2)),join(X2,X0)))),
inference(superposition,[],[f53,f1]) ).
fof(f379,plain,
! [X2,X0,X1] : meet(X1,join(X2,join(X0,meet(X1,X2)))) = meet(X1,join(X2,meet(join(X2,X0),join(X2,X0)))),
inference(forward_demodulation,[],[f378,f53]) ).
fof(f388,plain,
! [X2,X0,X1] : meet(X1,join(X2,join(X0,meet(X1,X2)))) = meet(X1,join(X2,join(X2,X0))),
inference(forward_demodulation,[],[f379,f1]) ).
fof(f392,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(X2,join(X0,meet(X1,X2)))),
inference(forward_demodulation,[],[f388,f119]) ).
fof(f398,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(X1,meet(X2,join(X1,X3))))))) = meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(X1,X3))))),
inference(backward_demodulation,[],[f81,f392]) ).
fof(f407,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f24,f5]) ).
fof(f419,plain,
! [X2,X0,X1] : meet(join(X0,X2),X1) = join(meet(join(X0,X2),X1),meet(X0,X1)),
inference(superposition,[],[f16,f24]) ).
fof(f428,plain,
! [X2,X0,X1] : meet(join(X0,X2),X1) = join(meet(X0,X1),meet(join(X0,X2),X1)),
inference(forward_demodulation,[],[f419,f6]) ).
fof(f630,plain,
! [X2,X0,X1] : meet(X1,X2) = meet(X1,meet(X2,join(X0,X1))),
inference(superposition,[],[f407,f6]) ).
fof(f1393,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X1),join(X0,X2))),
inference(superposition,[],[f428,f3]) ).
fof(f1534,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X0,X2))),
inference(superposition,[],[f355,f4]) ).
fof(f4008,plain,
! [X2,X0,X1] : join(X0,X1) = join(X1,join(X0,meet(X2,join(X0,X1)))),
inference(superposition,[],[f114,f6]) ).
fof(f4225,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),meet(X0,join(meet(X0,X1),X2)))) = join(meet(X0,X1),meet(X0,join(X2,meet(X0,meet(X0,X1))))),
inference(superposition,[],[f9,f1534]) ).
fof(f4229,plain,
! [X2,X3,X0,X1] : meet(X0,join(meet(X0,X1),meet(X0,join(meet(X0,X1),join(X2,X3))))) = join(meet(X0,X1),meet(X0,join(X2,join(X3,meet(X0,meet(X0,X1)))))),
inference(superposition,[],[f97,f1534]) ).
fof(f4290,plain,
! [X2,X3,X0,X1] : meet(X0,join(meet(X0,X1),meet(X0,join(meet(X0,X1),join(X2,X3))))) = join(meet(X0,X1),meet(X0,join(X2,join(X3,meet(X0,X1))))),
inference(forward_demodulation,[],[f4229,f23]) ).
fof(f4294,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),meet(X0,join(meet(X0,X1),X2)))) = join(meet(X0,X1),meet(X0,join(X2,meet(X0,X1)))),
inference(forward_demodulation,[],[f4225,f23]) ).
fof(f4343,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X0,join(meet(X0,X1),join(X2,X3)))) = join(meet(X0,X1),meet(X0,join(X2,join(X3,meet(X0,X1))))),
inference(forward_demodulation,[],[f4290,f1534]) ).
fof(f4346,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,join(meet(X0,X1),X2))) = join(meet(X0,X1),meet(X0,join(X2,meet(X0,X1)))),
inference(forward_demodulation,[],[f4294,f1534]) ).
fof(f4807,plain,
! [X2,X0,X1] : meet(X2,join(X0,meet(join(X0,X1),X2))) = meet(X2,meet(join(X0,X1),join(X0,X2))),
inference(superposition,[],[f46,f1393]) ).
fof(f4870,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,join(X0,meet(join(X0,X1),X2))),
inference(forward_demodulation,[],[f4807,f630]) ).
fof(f4912,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X0,join(X1,X2)))),
inference(backward_demodulation,[],[f316,f4870]) ).
fof(f5022,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X0,join(meet(X0,X1),X2))),
inference(superposition,[],[f1534,f4912]) ).
fof(f5084,plain,
! [X2,X3,X0,X1] : meet(X0,join(meet(X0,X1),join(X2,X3))) = join(meet(X0,X1),meet(X0,join(X2,join(X3,meet(X0,X1))))),
inference(backward_demodulation,[],[f4343,f5022]) ).
fof(f5085,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X0,join(X2,meet(X0,X1)))),
inference(backward_demodulation,[],[f4346,f5022]) ).
fof(f5556,plain,
! [X2,X0,X1] : join(X1,meet(X0,join(X2,meet(meet(X0,join(X1,X2)),X1)))) = join(X1,join(meet(X0,join(X2,meet(meet(X0,join(X1,X2)),X1))),meet(X0,join(X1,X2)))),
inference(superposition,[],[f122,f18]) ).
fof(f5633,plain,
! [X2,X0,X1] : join(X1,meet(X0,join(X2,meet(meet(X0,join(X1,X2)),X1)))) = join(X1,join(meet(X0,join(X1,X2)),meet(X0,join(X2,meet(meet(X0,join(X1,X2)),X1))))),
inference(forward_demodulation,[],[f5556,f6]) ).
fof(f5739,plain,
! [X2,X0,X1] : join(X1,meet(X0,join(X2,meet(X1,meet(X0,join(X1,X2)))))) = join(X1,join(meet(X0,join(X1,X2)),meet(X0,join(X2,meet(X1,meet(X0,join(X1,X2))))))),
inference(forward_demodulation,[],[f5633,f5]) ).
fof(f5814,plain,
! [X2,X0,X1] : join(X1,meet(X0,join(X2,meet(X1,X0)))) = join(X1,join(meet(X0,join(X1,X2)),meet(X0,join(X2,meet(X1,X0))))),
inference(forward_demodulation,[],[f5739,f407]) ).
fof(f6862,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(X1,meet(X2,join(X1,X3))))))) = meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(X3,join(meet(X0,X1),X1)))))),
inference(superposition,[],[f101,f9]) ).
fof(f6997,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(X1,meet(X2,join(X1,X3))))))) = meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(X3,join(X1,meet(X0,X1))))))),
inference(forward_demodulation,[],[f6862,f6]) ).
fof(f7076,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(X1,meet(X2,join(X1,X3))))))) = meet(X2,join(X3,meet(X0,join(meet(X0,X1),join(X3,X1))))),
inference(forward_demodulation,[],[f6997,f5084]) ).
fof(f7134,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(X1,meet(X2,join(X1,X3))))))) = meet(X2,join(X3,meet(X0,join(X1,join(meet(X0,X1),X3))))),
inference(forward_demodulation,[],[f7076,f94]) ).
fof(f7176,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(X1,meet(X2,join(X1,X3))))))) = meet(X2,join(X3,meet(X0,join(X1,X3)))),
inference(forward_demodulation,[],[f7134,f111]) ).
fof(f7201,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(X1,X3))))) = meet(X2,join(X3,meet(X0,join(X1,X3)))),
inference(backward_demodulation,[],[f398,f7176]) ).
fof(f7250,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,meet(X0,join(meet(X0,X1),X3)))) = meet(X2,join(X3,join(meet(X0,X1),meet(X0,join(meet(X0,X1),X3))))),
inference(superposition,[],[f7201,f23]) ).
fof(f7506,plain,
! [X2,X3,X0,X1] : meet(X2,join(meet(X0,X1),X3)) = meet(X2,join(X3,meet(X0,join(meet(X0,X1),X3)))),
inference(forward_demodulation,[],[f7250,f4008]) ).
fof(f18566,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,join(X2,meet(X1,X0))),X1)) = join(meet(X0,join(X2,meet(X1,X0))),meet(X0,join(X1,meet(X0,join(X1,X2))))),
inference(superposition,[],[f5085,f44]) ).
fof(f18591,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(X2,meet(X0,join(meet(X0,X1),X2))),
inference(superposition,[],[f114,f5085]) ).
fof(f18728,plain,
! [X2,X3,X0,X1] : meet(X2,join(X3,meet(X0,X1))) = meet(X2,join(meet(X0,X1),X3)),
inference(backward_demodulation,[],[f7506,f18591]) ).
fof(f18748,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,join(X2,meet(X1,X0))),X1)) = join(meet(X0,join(X2,meet(X1,X0))),meet(X0,join(X1,X2))),
inference(forward_demodulation,[],[f18566,f4912]) ).
fof(f18845,plain,
! [X2,X0,X1] : join(meet(X0,join(X1,X2)),meet(X0,join(X2,meet(X1,X0)))) = meet(X0,join(meet(X0,join(X2,meet(X1,X0))),X1)),
inference(forward_demodulation,[],[f18748,f6]) ).
fof(f18910,plain,
! [X2,X0,X1] : join(meet(X0,join(X1,X2)),meet(X0,join(X2,meet(X1,X0)))) = meet(X0,join(X1,meet(X0,join(X2,meet(X1,X0))))),
inference(forward_demodulation,[],[f18845,f18728]) ).
fof(f18953,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,join(X1,X2)))) = join(meet(X0,join(X1,X2)),meet(X0,join(X2,meet(X1,X0)))),
inference(forward_demodulation,[],[f18910,f44]) ).
fof(f18983,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,X2)),meet(X0,join(X2,meet(X1,X0)))),
inference(forward_demodulation,[],[f18953,f4912]) ).
fof(f18997,plain,
! [X2,X0,X1] : join(X1,meet(X0,join(X1,X2))) = join(X1,meet(X0,join(X2,meet(X1,X0)))),
inference(backward_demodulation,[],[f5814,f18983]) ).
fof(f19712,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(X3,meet(meet(X0,X1),X2)))) = join(X1,join(meet(X0,X1),meet(X2,join(meet(X0,X1),X3)))),
inference(superposition,[],[f111,f18997]) ).
fof(f19725,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(meet(X0,X1),X3))) = join(X1,meet(X2,join(X3,meet(meet(X0,X1),X2)))),
inference(forward_demodulation,[],[f19712,f111]) ).
fof(f19890,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,join(meet(X0,X1),X3))) = join(X1,meet(X2,join(X3,meet(X0,meet(X1,X2))))),
inference(forward_demodulation,[],[f19725,f7]) ).
fof(f20000,plain,
sP0(meet(a,join(b,meet(c,join(meet(a,b),d))))),
inference(backward_demodulation,[],[f12,f19890]) ).
fof(f20081,plain,
sP0(meet(a,join(b,meet(c,join(b,d))))),
inference(forward_demodulation,[],[f20000,f48]) ).
fof(f20119,plain,
$false,
inference(forward_subsumption_resolution,[],[f20081,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT165-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n005.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 14:03:33 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 28.85/5.04 % (4015127)Detected a unit-equality problem, will run specialized UEQ schedule.
% 28.85/5.04 % (4015135)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2487241522:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 28.85/5.04 % (4015136)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2807148839:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 28.85/5.04 % (4015132)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=3746806045:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 28.85/5.04 % (4015134)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1420216095:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 28.85/5.04 % (4015138)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4209208641:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 28.85/5.04 % (4015133)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=1645855273:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 28.85/5.04 % (4015137)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3213853390:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 28.85/5.04 % (4015135)Instruction limit reached!
% 28.85/5.04 % (4015135)------------------------------
% 28.85/5.04 % (4015135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.85/5.04 % (4015135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/5.04 % (4015135)CaDiCaL version: 2.1.3
% 28.85/5.04 % (4015135)Termination reason: Instruction limit
% 28.85/5.04 % (4015135)Termination phase: Saturation
% 28.85/5.04 % (4015135)Time elapsed: 0.045 s
% 28.85/5.04 % (4015135)Peak memory usage: 89 MB
% 28.85/5.04 % (4015135)Instructions burned: 137 (million)
% 28.85/5.04 % (4015136)Refutation not found, incomplete strategy
% 28.85/5.04 % (4015136)------------------------------
% 28.85/5.04 % (4015136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.85/5.04 % (4015136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/5.04 % (4015136)CaDiCaL version: 2.1.3
% 28.85/5.04 % (4015136)Termination reason: Refutation not found, incomplete strategy
% 28.85/5.04 % (4015136)Time elapsed: 0.001 s
% 28.85/5.04 % (4015136)Peak memory usage: 87 MB
% 28.85/5.04 % (4015136)Instructions burned: 1 (million)
% 28.85/5.04 % (4015146)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1320872387:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 28.85/5.04 % (4015137)Instruction limit reached!
% 28.85/5.04 % (4015137)------------------------------
% 28.85/5.04 % (4015137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.85/5.04 % (4015137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/5.04 % (4015137)CaDiCaL version: 2.1.3
% 28.85/5.04 % (4015137)Termination reason: Instruction limit
% 28.85/5.04 % (4015137)Termination phase: Saturation
% 28.85/5.04 % (4015137)Time elapsed: 0.160 s
% 28.85/5.04 % (4015137)Peak memory usage: 90 MB
% 28.85/5.04 % (4015137)Instructions burned: 258 (million)
% 28.85/5.04 % (4015136)------------------------------
% 28.85/5.04 % (4015136)------------------------------
% 28.85/5.04 % (4015148)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1652833563:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 28.85/5.04 % (4015149)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1109285283:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 28.85/5.04 % (4015149)Instruction limit reached!
% 28.85/5.04 % (4015149)------------------------------
% 28.85/5.04 % (4015149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.85/5.04 % (4015149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/5.04 % (4015149)CaDiCaL version: 2.1.3
% 28.85/5.04 % (4015149)Termination reason: Instruction limit
% 28.85/5.04 % (4015149)Termination phase: Saturation
% 28.85/5.04 % (4015149)Time elapsed: 0.105 s
% 28.85/5.04 % (4015149)Peak memory usage: 89 MB
% 28.85/5.04 % (4015149)Instructions burned: 216 (million)
% 28.85/5.04 % (4015138)Instruction limit reached!
% 28.85/5.04 % (4015138)------------------------------
% 28.85/5.04 % (4015138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.85/5.04 % (4015138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/5.04 % (4015138)CaDiCaL version: 2.1.3
% 28.85/5.04 % (4015138)Termination reason: Instruction limit
% 28.85/5.04 % (4015138)Termination phase: Saturation
% 28.85/5.04 % (4015138)Time elapsed: 0.609 s
% 28.85/5.04 % (4015138)Peak memory usage: 97 MB
% 28.85/5.04 % (4015138)Instructions burned: 1189 (million)
% 28.85/5.04 % (4015152)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=1052254277:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 28.85/5.04 % (4015153)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=3205595557:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 28.85/5.04 % (4015152)Instruction limit reached!
% 28.85/5.04 % (4015152)------------------------------
% 28.85/5.04 % (4015152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.85/5.04 % (4015152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/5.04 % (4015152)CaDiCaL version: 2.1.3
% 28.85/5.04 % (4015152)Termination reason: Instruction limit
% 28.85/5.04 % (4015152)Termination phase: Saturation
% 28.85/5.04 % (4015152)Time elapsed: 0.201 s
% 28.85/5.04 % (4015152)Peak memory usage: 93 MB
% 28.85/5.04 % (4015152)Instructions burned: 318 (million)
% 28.85/5.04 % (4015146)Instruction limit reached!
% 28.85/5.04 % (4015146)------------------------------
% 28.85/5.04 % (4015146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.85/5.04 % (4015146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/5.04 % (4015146)CaDiCaL version: 2.1.3
% 28.85/5.04 % (4015146)Termination reason: Instruction limit
% 28.85/5.04 % (4015146)Termination phase: Saturation
% 28.85/5.04 % (4015146)Time elapsed: 0.739 s
% 28.85/5.04 % (4015146)Peak memory usage: 140 MB
% 28.85/5.04 % (4015146)Instructions burned: 2053 (million)
% 28.85/5.04 % (4015156)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1209242856:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 28.85/5.04 % (4015157)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1930037183:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2990 on theBenchmark for (2990ds/14534Mi)
% 28.85/5.04 % (4015148)Instruction limit reached!
% 28.85/5.04 % (4015148)------------------------------
% 28.85/5.04 % (4015148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.85/5.04 % (4015148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/5.04 % (4015148)CaDiCaL version: 2.1.3
% 28.85/5.04 % (4015148)Termination reason: Instruction limit
% 28.85/5.04 % (4015148)Termination phase: Saturation
% 28.85/5.04 % (4015148)Time elapsed: 1.804 s
% 28.85/5.04 % (4015148)Peak memory usage: 163 MB
% 28.85/5.04 % (4015148)Instructions burned: 4950 (million)
% 28.85/5.04 % (4015160)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1548223589:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2977 on theBenchmark for (2977ds/11832Mi)
% 28.85/5.04 % (4015156)Instruction limit reached!
% 28.85/5.04 % (4015156)------------------------------
% 28.85/5.04 % (4015156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.85/5.04 % (4015156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/5.04 % (4015156)CaDiCaL version: 2.1.3
% 28.85/5.04 % (4015156)Termination reason: Instruction limit
% 28.85/5.04 % (4015156)Termination phase: Saturation
% 28.85/5.04 % (4015156)Time elapsed: 1.812 s
% 28.85/5.04 % (4015156)Peak memory usage: 144 MB
% 28.85/5.04 % (4015156)Instructions burned: 2837 (million)
% 28.85/5.04 % (4015162)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=921409180:i=2279:fgj=on:bd=all_2970 on theBenchmark for (2970ds/2279Mi)
% 28.85/5.04 % (4015157)First to succeed.
% 28.85/5.04 % (4015157)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4015127"
% 28.85/5.04 % (4015157)Refutation found. Thanks to Tanya!
% 28.85/5.04 % SZS status Unsatisfiable for theBenchmark
% 28.85/5.04 % SZS output start Proof for theBenchmark
% See solution above
% 29.88/5.24 % (4015157)------------------------------
% 29.88/5.24 % (4015157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.88/5.24 % (4015157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.88/5.24 % (4015157)CaDiCaL version: 2.1.3
% 29.88/5.24 % (4015157)Termination reason: Refutation
% 29.88/5.24 % (4015157)Time elapsed: 2.652 s
% 29.88/5.24 % (4015157)Peak memory usage: 163 MB
% 29.88/5.24 % (4015157)Instructions burned: 4372 (million)
% 29.88/5.24 % (4015157)------------------------------
% 29.88/5.24 % (4015157)------------------------------
% 29.88/5.24 % (4015127)Success in time 4.155 s
% 29.88/5.24 % Vampire exiting
%------------------------------------------------------------------------------