%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT207-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:46:15 AM UTC 2026
% Result : Unsatisfiable 23.01s 4.06s
% Output : Refutation 23.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 12
% Syntax : Number of formulae : 162 ( 150 unt; 0 def)
% Number of atoms : 176 ( 175 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 19 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 364 ( 364 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).
fof(f11,axiom,
! [X0,X1] :
( join(X0,X1) != one
| meet(X0,X1) != zero
| complement(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X1),join(meet(X0,X1),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H61) ).
fof(f13,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f21,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f27,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f28,plain,
! [X2,X0,X1] : meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[],[f7,f3]) ).
fof(f37,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f48,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f27,f21]) ).
fof(f53,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f27]) ).
fof(f57,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f48,f5]) ).
fof(f67,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(X1,X2)) = join(X1,meet(join(X1,X0),join(meet(X0,X1),X2))),
inference(superposition,[],[f12,f5]) ).
fof(f73,plain,
! [X2,X0,X1] : meet(join(X1,X2),join(X1,X0)) = join(X1,meet(join(X1,X2),join(X0,meet(X1,X2)))),
inference(superposition,[],[f12,f6]) ).
fof(f101,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f102,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f21]) ).
fof(f115,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f137,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f101,f6]) ).
fof(f163,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = join(X0,one),
inference(superposition,[],[f101,f9]) ).
fof(f164,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(meet(X0,X1)))) = join(X0,meet(join(X0,X1),one)),
inference(superposition,[],[f12,f9]) ).
fof(f168,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f169,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f8,f9]) ).
fof(f171,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(meet(X0,X1)))) = join(X0,meet(one,join(X0,X1))),
inference(forward_demodulation,[],[f164,f5]) ).
fof(f172,plain,
! [X0,X1] : join(X0,meet(one,join(X0,X1))) = meet(join(X0,X1),join(X0,one)),
inference(forward_demodulation,[],[f171,f163]) ).
fof(f174,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f175,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(zero,X1),
inference(superposition,[],[f7,f10]) ).
fof(f179,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f7,f10]) ).
fof(f200,plain,
! [X0] : join(X0,meet(one,one)) = meet(one,join(X0,one)),
inference(superposition,[],[f172,f9]) ).
fof(f226,plain,
! [X0] : one = join(X0,meet(one,one)),
inference(forward_demodulation,[],[f200,f27]) ).
fof(f241,plain,
! [X0] : one = join(X0,one),
inference(forward_demodulation,[],[f226,f1]) ).
fof(f266,plain,
complement(one) = meet(one,complement(meet(one,one))),
inference(unit_resulting_resolution,[],[f11,f4,f179]) ).
fof(f290,plain,
complement(one) = meet(one,complement(one)),
inference(forward_demodulation,[],[f266,f1]) ).
fof(f291,plain,
zero = complement(one),
inference(forward_demodulation,[],[f290,f10]) ).
fof(f297,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f168]) ).
fof(f384,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f174]) ).
fof(f388,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f27,f174]) ).
fof(f395,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(backward_demodulation,[],[f175,f388]) ).
fof(f411,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f179,f388]) ).
fof(f739,plain,
! [X0,X1] : meet(X0,zero) = meet(X0,complement(join(X0,X1))),
inference(superposition,[],[f28,f10]) ).
fof(f774,plain,
! [X0,X1] : zero = meet(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f739,f411]) ).
fof(f987,plain,
! [X0,X1] : meet(join(X0,one),join(X0,X1)) = join(X0,meet(join(X0,one),join(X1,X0))),
inference(superposition,[],[f73,f168]) ).
fof(f1045,plain,
! [X0,X1] : meet(one,join(X0,X1)) = join(X0,meet(one,join(X1,X0))),
inference(forward_demodulation,[],[f987,f241]) ).
fof(f1085,plain,
! [X0,X1] : join(X0,join(X1,X0)) = meet(one,join(X0,X1)),
inference(forward_demodulation,[],[f1045,f297]) ).
fof(f1109,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1085,f297]) ).
fof(f1448,plain,
! [X0,X1] :
( one != one
| zero != meet(X0,join(X1,complement(join(X0,X1))))
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(superposition,[],[f11,f169]) ).
fof(f1463,plain,
! [X0,X1] :
( zero != meet(X0,join(X1,complement(join(X0,X1))))
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(trivial_inequality_removal,[],[f1448]) ).
fof(f1520,plain,
! [X0,X1] :
( zero != meet(X1,join(X0,complement(join(X0,X1))))
| complement(X1) = join(X0,complement(join(X0,X1))) ),
inference(superposition,[],[f1463,f6]) ).
fof(f1820,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(X2,meet(X0,join(X1,X2))),
inference(superposition,[],[f53,f5]) ).
fof(f1829,plain,
! [X0,X1] : meet(X0,zero) = meet(X0,complement(join(X1,X0))),
inference(superposition,[],[f53,f10]) ).
fof(f1875,plain,
! [X0,X1] : zero = meet(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f1829,f411]) ).
fof(f3368,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X1,join(X2,X0)),meet(X0,X1)),
inference(superposition,[],[f21,f1820]) ).
fof(f3401,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X0,X1),meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f3368,f6]) ).
fof(f3499,plain,
! [X2,X0,X1] : meet(join(X0,complement(join(X0,X1))),join(X0,X2)) = join(X0,meet(join(X0,complement(join(X0,X1))),join(X2,zero))),
inference(superposition,[],[f73,f774]) ).
fof(f3518,plain,
! [X2,X0,X1] : meet(join(X0,complement(join(X0,X1))),join(X0,X2)) = join(X0,meet(join(X0,complement(join(X0,X1))),X2)),
inference(forward_demodulation,[],[f3499,f174]) ).
fof(f3589,plain,
! [X0,X1] : join(X0,zero) = meet(join(X0,complement(join(X0,X1))),join(X0,complement(join(X0,complement(join(X0,X1)))))),
inference(superposition,[],[f3518,f10]) ).
fof(f3678,plain,
! [X0,X1] : meet(join(X0,complement(join(X0,X1))),join(X0,complement(join(X0,complement(join(X0,X1)))))) = X0,
inference(forward_demodulation,[],[f3589,f174]) ).
fof(f4033,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X1,meet(X0,X2)),join(X0,X1)),
inference(superposition,[],[f27,f137]) ).
fof(f4086,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = meet(join(X0,X1),join(X1,meet(X0,X2))),
inference(forward_demodulation,[],[f4033,f5]) ).
fof(f4545,plain,
! [X0] :
( zero != meet(complement(X0),join(X0,complement(one)))
| complement(complement(X0)) = join(X0,complement(one)) ),
inference(superposition,[],[f1520,f9]) ).
fof(f4572,plain,
! [X0] :
( zero != meet(complement(X0),join(X0,zero))
| complement(complement(X0)) = join(X0,complement(one)) ),
inference(forward_demodulation,[],[f4545,f291]) ).
fof(f4595,plain,
! [X0] :
( zero != meet(complement(X0),X0)
| complement(complement(X0)) = join(X0,complement(one)) ),
inference(forward_demodulation,[],[f4572,f174]) ).
fof(f4606,plain,
! [X0] :
( meet(X0,complement(X0)) != zero
| complement(complement(X0)) = join(X0,complement(one)) ),
inference(forward_demodulation,[],[f4595,f5]) ).
fof(f4615,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(one)),
inference(forward_subsumption_resolution,[],[f4606,f10]) ).
fof(f4622,plain,
! [X0] : join(X0,zero) = complement(complement(X0)),
inference(forward_demodulation,[],[f4615,f291]) ).
fof(f4627,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f4622,f174]) ).
fof(f4680,plain,
! [X0,X1] : meet(complement(join(X0,X1)),X0) = meet(complement(join(X0,X1)),join(X0,complement(join(X0,complement(join(X0,X1)))))),
inference(superposition,[],[f53,f3678]) ).
fof(f4721,plain,
! [X0,X1] : meet(X0,complement(join(X0,X1))) = meet(complement(join(X0,X1)),join(X0,complement(join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f4680,f5]) ).
fof(f4754,plain,
! [X0,X1] : zero = meet(complement(join(X0,X1)),join(X0,complement(join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f4721,f774]) ).
fof(f4856,plain,
! [X0,X1] :
( zero != zero
| join(X0,complement(join(X0,complement(join(X0,X1))))) = complement(complement(join(X0,X1))) ),
inference(superposition,[],[f1520,f4754]) ).
fof(f4877,plain,
! [X0,X1] : join(X0,complement(join(X0,complement(join(X0,X1))))) = complement(complement(join(X0,X1))),
inference(trivial_inequality_removal,[],[f4856]) ).
fof(f4894,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f4877,f4627]) ).
fof(f4932,plain,
! [X0,X1] : meet(join(X0,complement(join(X0,X1))),join(X0,X1)) = X0,
inference(backward_demodulation,[],[f3678,f4894]) ).
fof(f4949,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(join(X0,X1)))) = X0,
inference(forward_demodulation,[],[f4932,f5]) ).
fof(f5017,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f53,f4949]) ).
fof(f5152,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f5017,f6]) ).
fof(f5165,plain,
! [X0,X1] : meet(join(X1,X0),X0) = meet(join(X1,X0),join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f5017,f1109]) ).
fof(f5267,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = meet(join(X1,X0),join(X0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f5165,f5]) ).
fof(f5281,plain,
! [X0,X1] :
( meet(X0,X1) != zero
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(backward_demodulation,[],[f1463,f5152]) ).
fof(f5314,plain,
! [X0,X1] : meet(join(X1,X0),join(X0,complement(join(X0,X1)))) = X0,
inference(forward_demodulation,[],[f5267,f27]) ).
fof(f5396,plain,
! [X0,X1] :
( zero != zero
| complement(X0) = join(meet(X1,complement(meet(X0,X1))),complement(join(X0,meet(X1,complement(meet(X0,X1)))))) ),
inference(superposition,[],[f5281,f179]) ).
fof(f5400,plain,
! [X0,X1] :
( zero != zero
| complement(X0) = join(meet(complement(X0),X1),complement(join(X0,meet(complement(X0),X1)))) ),
inference(superposition,[],[f5281,f395]) ).
fof(f5417,plain,
! [X0,X1] : complement(X0) = join(meet(complement(X0),X1),complement(join(X0,meet(complement(X0),X1)))),
inference(trivial_inequality_removal,[],[f5400]) ).
fof(f5419,plain,
! [X0,X1] : complement(X0) = join(meet(X1,complement(meet(X0,X1))),complement(join(X0,meet(X1,complement(meet(X0,X1)))))),
inference(trivial_inequality_removal,[],[f5396]) ).
fof(f5531,plain,
! [X2,X0,X1] : meet(complement(X0),join(meet(complement(X0),X1),X2)) = join(meet(complement(X0),X1),meet(complement(X0),join(meet(complement(join(X0,meet(complement(X0),X1))),meet(complement(X0),X1)),X2))),
inference(superposition,[],[f67,f5417]) ).
fof(f5532,plain,
! [X2,X0,X1] : meet(complement(X0),join(meet(complement(X0),X1),X2)) = join(meet(complement(X0),X1),meet(complement(X0),join(X2,meet(meet(complement(X0),X1),complement(join(X0,meet(complement(X0),X1))))))),
inference(superposition,[],[f73,f5417]) ).
fof(f5568,plain,
! [X2,X0,X1] : meet(complement(X0),join(meet(complement(X0),X1),X2)) = join(meet(complement(X0),X1),meet(complement(X0),join(X2,zero))),
inference(forward_demodulation,[],[f5532,f1875]) ).
fof(f5569,plain,
! [X2,X0,X1] : meet(complement(X0),join(meet(complement(X0),X1),X2)) = join(meet(complement(X0),X1),meet(complement(X0),join(meet(meet(complement(X0),X1),complement(join(X0,meet(complement(X0),X1)))),X2))),
inference(forward_demodulation,[],[f5531,f5]) ).
fof(f5606,plain,
! [X2,X0,X1] : meet(complement(X0),join(meet(complement(X0),X1),X2)) = join(meet(complement(X0),X1),meet(complement(X0),X2)),
inference(forward_demodulation,[],[f5568,f174]) ).
fof(f5607,plain,
! [X2,X0,X1] : meet(complement(X0),join(meet(complement(X0),X1),X2)) = join(meet(complement(X0),X1),meet(complement(X0),join(zero,X2))),
inference(forward_demodulation,[],[f5569,f1875]) ).
fof(f5624,plain,
! [X2,X0,X1] : meet(complement(X0),join(meet(complement(X0),X1),X2)) = meet(complement(X0),join(meet(complement(X0),X1),join(zero,X2))),
inference(forward_demodulation,[],[f5607,f5606]) ).
fof(f5631,plain,
! [X2,X0,X1] : meet(complement(X0),join(meet(complement(X0),X1),X2)) = meet(complement(X0),join(zero,join(X2,meet(complement(X0),X1)))),
inference(forward_demodulation,[],[f5624,f115]) ).
fof(f5634,plain,
! [X2,X0,X1] : meet(complement(X0),join(meet(complement(X0),X1),X2)) = meet(complement(X0),join(X2,meet(complement(X0),X1))),
inference(forward_demodulation,[],[f5631,f384]) ).
fof(f5656,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(superposition,[],[f5606,f4627]) ).
fof(f5792,plain,
meet(a,join(b,c)) != meet(a,join(meet(a,b),c)),
inference(backward_demodulation,[],[f13,f5656]) ).
fof(f5839,plain,
meet(a,join(b,c)) != meet(a,join(c,meet(a,b))),
inference(forward_demodulation,[],[f5792,f6]) ).
fof(f5870,plain,
meet(a,join(b,c)) != meet(a,join(c,meet(b,a))),
inference(forward_demodulation,[],[f5839,f5]) ).
fof(f5939,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X1,X2)),
inference(superposition,[],[f5656,f57]) ).
fof(f5958,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f5656,f4949]) ).
fof(f6025,plain,
! [X2,X0,X1] : join(meet(X0,X2),meet(X0,X1)) = join(meet(X0,X2),meet(X0,join(meet(X0,X1),X2))),
inference(superposition,[],[f1109,f5656]) ).
fof(f6038,plain,
! [X2,X0,X1] : join(meet(X0,X2),meet(X0,X1)) = meet(X0,join(meet(X0,X2),join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f6025,f5656]) ).
fof(f6174,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(meet(X0,X1),join(X2,X0))),
inference(backward_demodulation,[],[f3401,f5939]) ).
fof(f6180,plain,
! [X2,X0,X1] : join(meet(X0,X2),meet(X0,X1)) = meet(X0,join(X2,join(meet(X0,X2),meet(X0,X1)))),
inference(forward_demodulation,[],[f6038,f115]) ).
fof(f6243,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(X0,join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f6174,f115]) ).
fof(f6249,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(X0,X1))) = join(meet(X0,X2),meet(X0,X1)),
inference(forward_demodulation,[],[f6180,f102]) ).
fof(f6285,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(X0,X2)),
inference(forward_demodulation,[],[f6243,f101]) ).
fof(f6289,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = meet(X0,join(X1,meet(X0,X2))),
inference(backward_demodulation,[],[f5656,f6249]) ).
fof(f6358,plain,
! [X2,X0,X1] : meet(complement(X0),join(X1,meet(complement(X0),X2))) = meet(complement(X0),join(X2,meet(complement(X0),X1))),
inference(backward_demodulation,[],[f5634,f6289]) ).
fof(f6428,plain,
! [X2,X3,X0,X1] : meet(join(X1,X2),join(X1,meet(X3,X0))) = join(X1,meet(X0,meet(join(X1,X2),X3))),
inference(superposition,[],[f5958,f37]) ).
fof(f6892,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X0,X1),X2),join(meet(X0,X1),X3))) = meet(X0,join(X1,meet(X0,meet(join(meet(X0,X1),X2),X3)))),
inference(superposition,[],[f6289,f5958]) ).
fof(f6904,plain,
! [X0,X1] : meet(X0,one) = meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))),
inference(superposition,[],[f6289,f9]) ).
fof(f6919,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X0,X1),X2),X3)) = meet(meet(X0,join(X1,meet(X0,X2))),X3),
inference(superposition,[],[f7,f6289]) ).
fof(f6921,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X0,X1),X2),X3)) = meet(X3,meet(X0,join(X1,meet(X0,X2)))),
inference(superposition,[],[f37,f6289]) ).
fof(f6923,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(join(meet(X0,X1),X2),meet(X0,join(X1,meet(X0,X2)))),
inference(superposition,[],[f57,f6289]) ).
fof(f6951,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(join(X1,meet(X0,X2)),meet(join(meet(X0,X1),X2),X0)),
inference(forward_demodulation,[],[f6923,f37]) ).
fof(f6954,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X0,X1),X2),X3)) = meet(X0,meet(join(X1,meet(X0,X2)),X3)),
inference(forward_demodulation,[],[f6919,f7]) ).
fof(f6966,plain,
! [X0,X1] : meet(X0,join(X1,meet(X0,complement(meet(X0,X1))))) = X0,
inference(forward_demodulation,[],[f6904,f168]) ).
fof(f7025,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,meet(join(X1,meet(X0,X2)),join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f6951,f37]) ).
fof(f7027,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X0,X1),X2),join(meet(X0,X1),X3))) = meet(X0,join(X1,meet(X0,meet(join(X1,meet(X0,X2)),X3)))),
inference(backward_demodulation,[],[f6892,f6954]) ).
fof(f7076,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X0,X1),X2),join(meet(X0,X1),X3))) = meet(X0,meet(join(X1,meet(X0,X2)),join(X1,meet(X3,X0)))),
inference(forward_demodulation,[],[f7027,f6428]) ).
fof(f7094,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,meet(X0,X2)),join(X1,meet(X3,X0)))) = meet(X0,meet(join(X1,meet(X0,X2)),join(meet(X0,X1),X3))),
inference(forward_demodulation,[],[f7076,f6954]) ).
fof(f7101,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,meet(join(X1,meet(X0,X2)),join(X1,meet(X2,X0)))),
inference(backward_demodulation,[],[f7025,f7094]) ).
fof(f7159,plain,
! [X0,X1] : join(X1,meet(X0,complement(meet(X0,X1)))) = join(join(X1,meet(X0,complement(meet(X0,X1)))),X0),
inference(superposition,[],[f21,f6966]) ).
fof(f7194,plain,
! [X0,X1] : join(X1,meet(X0,complement(meet(X0,X1)))) = join(X0,join(X1,meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f7159,f6]) ).
fof(f7238,plain,
! [X0,X1] : join(X0,X1) = join(X1,meet(X0,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f7194,f137]) ).
fof(f7329,plain,
! [X0,X1] : join(X1,X0) = join(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f7238,f5]) ).
fof(f7446,plain,
! [X0,X1] : complement(X0) = join(meet(X1,complement(meet(X0,X1))),complement(join(X1,X0))),
inference(backward_demodulation,[],[f5419,f7329]) ).
fof(f7480,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),meet(X1,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f7446,f6]) ).
fof(f7576,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X1,X0))),
inference(superposition,[],[f137,f7480]) ).
fof(f7620,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(X1))) = X0,
inference(backward_demodulation,[],[f4949,f7576]) ).
fof(f7633,plain,
! [X0,X1] : meet(join(X1,X0),join(X0,complement(X1))) = X0,
inference(backward_demodulation,[],[f5314,f7576]) ).
fof(f8051,plain,
! [X0,X1] : meet(complement(X1),X0) = meet(complement(X1),join(X0,X1)),
inference(superposition,[],[f1820,f7620]) ).
fof(f8255,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),join(meet(X1,complement(meet(X0,X1))),complement(complement(join(X1,X0))))),
inference(superposition,[],[f7633,f7480]) ).
fof(f8316,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),join(complement(complement(join(X1,X0))),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f8255,f6285]) ).
fof(f8350,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),join(join(X1,X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f8316,f4627]) ).
fof(f8367,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),join(X1,join(X0,meet(X1,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f8350,f8]) ).
fof(f8375,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f8367,f137]) ).
fof(f8378,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),X1),
inference(forward_demodulation,[],[f8375,f8051]) ).
fof(f8385,plain,
! [X0,X1] : join(X1,X0) = join(X0,meet(complement(X0),X1)),
inference(backward_demodulation,[],[f7329,f8378]) ).
fof(f8635,plain,
! [X2,X0,X1] : meet(complement(X2),join(X0,X1)) = meet(complement(X2),join(X0,join(X1,X2))),
inference(superposition,[],[f8051,f8]) ).
fof(f8656,plain,
! [X2,X0,X1] : meet(complement(X0),join(meet(complement(X0),X1),X2)) = meet(complement(X0),join(join(X1,X0),meet(complement(X0),X2))),
inference(superposition,[],[f6289,f8051]) ).
fof(f8657,plain,
! [X2,X0,X1] : meet(complement(X0),join(meet(complement(X0),X1),X2)) = meet(complement(X0),join(X1,join(X0,meet(complement(X0),X2)))),
inference(forward_demodulation,[],[f8656,f8]) ).
fof(f8681,plain,
! [X2,X0,X1] : meet(complement(X0),join(meet(complement(X0),X1),X2)) = meet(complement(X0),join(X1,join(X2,X0))),
inference(forward_demodulation,[],[f8657,f8385]) ).
fof(f8699,plain,
! [X2,X0,X1] : meet(complement(X0),join(meet(complement(X0),X1),X2)) = meet(complement(X0),join(X1,X2)),
inference(forward_demodulation,[],[f8681,f8635]) ).
fof(f8713,plain,
! [X2,X0,X1] : meet(complement(X0),join(X1,meet(complement(X0),X2))) = meet(complement(X0),join(X1,X2)),
inference(forward_demodulation,[],[f8699,f6289]) ).
fof(f8720,plain,
! [X2,X0,X1] : meet(complement(X0),join(X2,meet(complement(X0),X1))) = meet(complement(X0),join(X1,X2)),
inference(backward_demodulation,[],[f6358,f8713]) ).
fof(f8724,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X2,X1)),
inference(superposition,[],[f8720,f4627]) ).
fof(f8834,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X0,X1),X2),X3)) = meet(X3,meet(X0,join(X2,X1))),
inference(backward_demodulation,[],[f6921,f8724]) ).
fof(f8847,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(X0,meet(join(X1,meet(X0,X2)),join(X1,meet(X2,X0)))),
inference(backward_demodulation,[],[f7101,f8724]) ).
fof(f8928,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,meet(X0,X2)),X3)) = meet(X3,meet(X0,join(X2,X1))),
inference(backward_demodulation,[],[f6954,f8834]) ).
fof(f8984,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(join(X1,meet(X2,X0)),meet(X0,join(X2,X1))),
inference(backward_demodulation,[],[f8847,f8928]) ).
fof(f9019,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(meet(X0,join(X2,X1)),join(X1,meet(X2,X0))),
inference(forward_demodulation,[],[f8984,f5]) ).
fof(f9038,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(X0,meet(join(X2,X1),join(X1,meet(X2,X0)))),
inference(forward_demodulation,[],[f9019,f7]) ).
fof(f9042,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[],[f9038,f4086]) ).
fof(f9045,plain,
meet(a,join(b,c)) != meet(a,join(b,c)),
inference(backward_demodulation,[],[f5870,f9042]) ).
fof(f9046,plain,
$false,
inference(trivial_inequality_removal,[],[f9045]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT207-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 14:04:25 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.04/2.28 % (1438592)Input is clausal, will run a generic CNF schedule.
% 10.04/2.28 % (1438600)lrs+10_1_sil=8000:sp=occurrence:random_seed=774802699:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.04/2.28 % (1438600)Instruction limit reached!
% 10.04/2.28 % (1438600)------------------------------
% 10.04/2.28 % (1438600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.28 % (1438600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.28 % (1438600)CaDiCaL version: 2.1.3
% 10.04/2.28 % (1438600)Termination reason: Instruction limit
% 10.04/2.28 % (1438600)Termination phase: Saturation
% 10.04/2.28 % (1438600)Time elapsed: 0.035 s
% 10.04/2.28 % (1438600)Peak memory usage: 89 MB
% 10.04/2.28 % (1438600)Instructions burned: 110 (million)
% 10.04/2.28 % (1438597)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=791016785:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.04/2.28 % (1438598)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2343232630:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.04/2.28 % (1438599)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4268109993:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.04/2.28 % (1438603)dis-21_1_sil=8000:lcm=predicate:random_seed=1047794008:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.04/2.28 % (1438602)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2917182078:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.04/2.28 % (1438601)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2786297874:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.04/2.28 % (1438603)Refutation not found, incomplete strategy
% 10.04/2.28 % (1438603)------------------------------
% 10.04/2.28 % (1438603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.28 % (1438603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.28 % (1438603)CaDiCaL version: 2.1.3
% 10.04/2.28 % (1438603)Termination reason: Refutation not found, incomplete strategy
% 10.04/2.28 % (1438603)Time elapsed: 0.002 s
% 10.04/2.28 % (1438603)Peak memory usage: 88 MB
% 10.04/2.28 % (1438603)Instructions burned: 1 (million)
% 10.04/2.28 % (1438601)Instruction limit reached!
% 10.04/2.28 % (1438601)------------------------------
% 10.04/2.28 % (1438601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.28 % (1438601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.28 % (1438601)CaDiCaL version: 2.1.3
% 10.04/2.28 % (1438601)Termination reason: Instruction limit
% 10.04/2.28 % (1438601)Termination phase: Saturation
% 10.04/2.28 % (1438601)Time elapsed: 0.070 s
% 10.04/2.28 % (1438601)Peak memory usage: 89 MB
% 10.04/2.28 % (1438601)Instructions burned: 115 (million)
% 10.04/2.28 % (1438605)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3077909321:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.04/2.28 % (1438605)Refutation not found, incomplete strategy
% 10.04/2.28 % (1438605)------------------------------
% 10.04/2.28 % (1438605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.28 % (1438605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.28 % (1438605)CaDiCaL version: 2.1.3
% 10.04/2.28 % (1438605)Termination reason: Refutation not found, incomplete strategy
% 10.04/2.28 % (1438605)Time elapsed: 0.0000 s
% 10.04/2.28 % (1438605)Peak memory usage: 88 MB
% 10.04/2.28 % (1438602)Instruction limit reached!
% 10.04/2.28 % (1438602)------------------------------
% 10.04/2.28 % (1438602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.04/2.28 % (1438602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.04/2.28 % (1438602)CaDiCaL version: 2.1.3
% 10.04/2.28 % (1438602)Termination reason: Instruction limit
% 10.04/2.28 % (1438602)Termination phase: Saturation
% 10.04/2.28 % (1438602)Time elapsed: 0.102 s
% 10.04/2.28 % (1438602)Peak memory usage: 89 MB
% 10.04/2.28 % (1438602)Instructions burned: 181 (million)
% 10.04/2.28 % (1438613)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1117749679:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 21.11/3.99 % (1438613)Refutation not found, incomplete strategy
% 21.11/3.99 % (1438613)------------------------------
% 21.11/3.99 % (1438613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.11/3.99 % (1438613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.11/3.99 % (1438613)CaDiCaL version: 2.1.3
% 21.11/3.99 % (1438613)Termination reason: Refutation not found, incomplete strategy
% 21.11/3.99 % (1438613)Time elapsed: 0.002 s
% 21.11/3.99 % (1438613)Peak memory usage: 88 MB
% 21.11/3.99 % (1438613)Instructions burned: 1 (million)
% 21.11/3.99 % (1438605)------------------------------
% 21.11/3.99 % (1438605)------------------------------
% 21.11/3.99 % (1438614)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1273077210:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 21.11/3.99 % (1438603)------------------------------
% 21.11/3.99 % (1438603)------------------------------
% 21.11/3.99 % (1438614)Refutation not found, incomplete strategy
% 21.11/3.99 % (1438614)------------------------------
% 21.11/3.99 % (1438614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.11/3.99 % (1438614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.11/3.99 % (1438614)CaDiCaL version: 2.1.3
% 21.11/3.99 % (1438614)Termination reason: Refutation not found, incomplete strategy
% 21.11/3.99 % (1438614)Time elapsed: 0.001 s
% 21.11/3.99 % (1438614)Peak memory usage: 88 MB
% 21.11/3.99 % (1438616)lrs+10_64_to=lpo:sil=8000:random_seed=4216291534:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 21.11/3.99 % (1438616)Instruction limit reached!
% 21.11/3.99 % (1438616)------------------------------
% 21.11/3.99 % (1438616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.11/3.99 % (1438616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.11/3.99 % (1438616)CaDiCaL version: 2.1.3
% 21.11/3.99 % (1438616)Termination reason: Instruction limit
% 21.11/3.99 % (1438616)Termination phase: Saturation
% 21.11/3.99 % (1438616)Time elapsed: 0.039 s
% 21.11/3.99 % (1438616)Peak memory usage: 88 MB
% 21.11/3.99 % (1438616)Instructions burned: 129 (million)
% 21.11/3.99 % (1438618)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=6815178:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 21.11/3.99 % (1438620)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4107073609:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 21.11/3.99 % (1438613)------------------------------
% 21.11/3.99 % (1438613)------------------------------
% 21.11/3.99 % (1438614)------------------------------
% 21.11/3.99 % (1438614)------------------------------
% 21.11/3.99 % (1438620)Instruction limit reached!
% 21.11/3.99 % (1438620)------------------------------
% 21.11/3.99 % (1438620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.11/3.99 % (1438620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.11/3.99 % (1438620)CaDiCaL version: 2.1.3
% 21.11/3.99 % (1438620)Termination reason: Instruction limit
% 21.11/3.99 % (1438620)Termination phase: Saturation
% 21.11/3.99 % (1438620)Time elapsed: 0.052 s
% 21.11/3.99 % (1438620)Peak memory usage: 90 MB
% 21.11/3.99 % (1438620)Instructions burned: 160 (million)
% 21.11/3.99 % (1438618)Instruction limit reached!
% 21.11/3.99 % (1438618)------------------------------
% 21.11/3.99 % (1438618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.11/3.99 % (1438618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.11/3.99 % (1438618)CaDiCaL version: 2.1.3
% 21.11/3.99 % (1438618)Termination reason: Instruction limit
% 21.11/3.99 % (1438618)Termination phase: Saturation
% 21.11/3.99 % (1438618)Time elapsed: 0.119 s
% 21.11/3.99 % (1438618)Peak memory usage: 90 MB
% 21.11/3.99 % (1438618)Instructions burned: 195 (million)
% 21.11/3.99 % (1438624)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3408185146:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 21.11/3.99 % (1438623)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1953125182:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 21.11/3.99 % (1438624)Instruction limit reached!
% 21.11/3.99 % (1438624)------------------------------
% 23.01/4.06 % (1438624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/4.06 % (1438624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/4.06 % (1438624)CaDiCaL version: 2.1.3
% 23.01/4.06 % (1438624)Termination reason: Instruction limit
% 23.01/4.06 % (1438624)Termination phase: Saturation
% 23.01/4.06 % (1438624)Time elapsed: 0.036 s
% 23.01/4.06 % (1438624)Peak memory usage: 89 MB
% 23.01/4.06 % (1438624)Instructions burned: 107 (million)
% 23.01/4.06 % (1438625)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3701193616:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 23.01/4.06 % (1438625)Refutation not found, incomplete strategy
% 23.01/4.06 % (1438625)------------------------------
% 23.01/4.06 % (1438625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/4.06 % (1438625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/4.06 % (1438625)CaDiCaL version: 2.1.3
% 23.01/4.06 % (1438625)Termination reason: Refutation not found, incomplete strategy
% 23.01/4.06 % (1438625)Time elapsed: 0.001 s
% 23.01/4.06 % (1438625)Peak memory usage: 87 MB
% 23.01/4.06 % (1438626)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3955263325:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 23.01/4.06 % (1438629)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3826031761:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 23.01/4.06 % (1438626)Instruction limit reached!
% 23.01/4.06 % (1438626)------------------------------
% 23.01/4.06 % (1438626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/4.06 % (1438626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/4.06 % (1438626)CaDiCaL version: 2.1.3
% 23.01/4.06 % (1438626)Termination reason: Instruction limit
% 23.01/4.06 % (1438626)Termination phase: Saturation
% 23.01/4.06 % (1438626)Time elapsed: 0.140 s
% 23.01/4.06 % (1438626)Peak memory usage: 90 MB
% 23.01/4.06 % (1438626)Instructions burned: 243 (million)
% 23.01/4.06 % (1438625)------------------------------
% 23.01/4.06 % (1438625)------------------------------
% 23.01/4.06 % (1438633)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=524335442:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 23.01/4.06 % (1438634)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2974772404:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 23.01/4.06 % (1438633)Instruction limit reached!
% 23.01/4.06 % (1438633)------------------------------
% 23.01/4.06 % (1438633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/4.06 % (1438633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/4.06 % (1438633)CaDiCaL version: 2.1.3
% 23.01/4.06 % (1438633)Termination reason: Instruction limit
% 23.01/4.06 % (1438633)Termination phase: Saturation
% 23.01/4.06 % (1438633)Time elapsed: 0.079 s
% 23.01/4.06 % (1438633)Peak memory usage: 89 MB
% 23.01/4.06 % (1438633)Instructions burned: 135 (million)
% 23.01/4.06 % (1438637)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=69257555:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 23.01/4.06 % (1438637)Instruction limit reached!
% 23.01/4.06 % (1438637)------------------------------
% 23.01/4.06 % (1438637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/4.06 % (1438637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/4.06 % (1438637)CaDiCaL version: 2.1.3
% 23.01/4.06 % (1438637)Termination reason: Instruction limit
% 23.01/4.06 % (1438637)Termination phase: Saturation
% 23.01/4.06 % (1438637)Time elapsed: 0.118 s
% 23.01/4.06 % (1438637)Peak memory usage: 91 MB
% 23.01/4.06 % (1438637)Instructions burned: 191 (million)
% 23.01/4.06 % (1438634)Instruction limit reached!
% 23.01/4.06 % (1438634)------------------------------
% 23.01/4.06 % (1438634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/4.06 % (1438634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/4.06 % (1438634)CaDiCaL version: 2.1.3
% 23.01/4.06 % (1438634)Termination reason: Instruction limit
% 23.01/4.06 % (1438634)Termination phase: Saturation
% 23.01/4.06 % (1438634)Time elapsed: 0.311 s
% 23.01/4.06 % (1438634)Peak memory usage: 95 MB
% 23.01/4.06 % (1438634)Instructions burned: 500 (million)
% 23.01/4.06 % (1438639)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=24113148:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 23.01/4.06 % (1438640)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3647891639:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 23.01/4.06 % (1438639)Instruction limit reached!
% 23.01/4.06 % (1438639)------------------------------
% 23.01/4.06 % (1438639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/4.06 % (1438639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/4.06 % (1438639)CaDiCaL version: 2.1.3
% 23.01/4.06 % (1438639)Termination reason: Instruction limit
% 23.01/4.06 % (1438639)Termination phase: Saturation
% 23.01/4.06 % (1438639)Time elapsed: 0.155 s
% 23.01/4.06 % (1438639)Peak memory usage: 92 MB
% 23.01/4.06 % (1438639)Instructions burned: 264 (million)
% 23.01/4.06 % (1438640)Instruction limit reached!
% 23.01/4.06 % (1438640)------------------------------
% 23.01/4.06 % (1438640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/4.06 % (1438640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/4.06 % (1438640)CaDiCaL version: 2.1.3
% 23.01/4.06 % (1438640)Termination reason: Instruction limit
% 23.01/4.06 % (1438640)Termination phase: Saturation
% 23.01/4.06 % (1438640)Time elapsed: 0.094 s
% 23.01/4.06 % (1438640)Peak memory usage: 89 MB
% 23.01/4.06 % (1438640)Instructions burned: 158 (million)
% 23.01/4.06 % (1438643)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1817142393:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 23.01/4.06 % (1438644)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3537063185:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 23.01/4.06 % (1438644)Instruction limit reached!
% 23.01/4.06 % (1438644)------------------------------
% 23.01/4.06 % (1438644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/4.06 % (1438644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/4.06 % (1438644)CaDiCaL version: 2.1.3
% 23.01/4.06 % (1438644)Termination reason: Instruction limit
% 23.01/4.06 % (1438644)Termination phase: Saturation
% 23.01/4.06 % (1438644)Time elapsed: 0.286 s
% 23.01/4.06 % (1438644)Peak memory usage: 93 MB
% 23.01/4.06 % (1438644)Instructions burned: 537 (million)
% 23.01/4.06 % (1438647)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2518210976:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 23.01/4.06 % (1438647)Instruction limit reached!
% 23.01/4.06 % (1438647)------------------------------
% 23.01/4.06 % (1438647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/4.06 % (1438647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/4.06 % (1438647)CaDiCaL version: 2.1.3
% 23.01/4.06 % (1438647)Termination reason: Instruction limit
% 23.01/4.06 % (1438647)Termination phase: Saturation
% 23.01/4.06 % (1438647)Time elapsed: 0.101 s
% 23.01/4.06 % (1438647)Peak memory usage: 88 MB
% 23.01/4.06 % (1438647)Instructions burned: 181 (million)
% 23.01/4.06 % (1438649)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=3136453827:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2976 on theBenchmark for (2976ds/10307Mi)
% 23.01/4.06 % (1438623)Instruction limit reached!
% 23.01/4.06 % (1438623)------------------------------
% 23.01/4.06 % (1438623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/4.06 % (1438623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/4.06 % (1438623)CaDiCaL version: 2.1.3
% 23.01/4.06 % (1438623)Termination reason: Instruction limit
% 23.01/4.06 % (1438623)Termination phase: Saturation
% 23.01/4.06 % (1438623)Time elapsed: 2.055 s
% 23.01/4.06 % (1438623)Peak memory usage: 150 MB
% 23.01/4.06 % (1438623)Instructions burned: 3395 (million)
% 23.01/4.06 % (1438651)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=1472503030:i=412:gtgl=4:gtg=exists_all_2972 on theBenchmark for (2972ds/412Mi)
% 23.01/4.06 % (1438643)First to succeed.
% 23.01/4.06 % (1438643)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1438592"
% 23.01/4.06 % (1438651)Instruction limit reached!
% 23.01/4.06 % (1438651)------------------------------
% 23.01/4.06 % (1438651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.01/4.06 % (1438651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.01/4.06 % (1438651)CaDiCaL version: 2.1.3
% 23.01/4.06 % (1438651)Termination reason: Instruction limit
% 23.01/4.06 % (1438651)Termination phase: Saturation
% 23.01/4.06 % (1438651)Time elapsed: 0.239 s
% 23.01/4.06 % (1438651)Peak memory usage: 94 MB
% 23.01/4.06 % (1438651)Instructions burned: 413 (million)
% 23.01/4.06 % (1438643)Refutation found. Thanks to Tanya!
% 23.01/4.06 % SZS status Unsatisfiable for theBenchmark
% 23.01/4.06 % SZS output start Proof for theBenchmark
% See solution above
% 23.37/4.25 % (1438643)------------------------------
% 23.37/4.25 % (1438643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.37/4.25 % (1438643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.37/4.25 % (1438643)CaDiCaL version: 2.1.3
% 23.37/4.25 % (1438643)Termination reason: Refutation
% 23.37/4.25 % (1438643)Time elapsed: 1.162 s
% 23.37/4.25 % (1438643)Peak memory usage: 136 MB
% 23.37/4.25 % (1438643)Instructions burned: 1844 (million)
% 23.37/4.25 % (1438643)------------------------------
% 23.37/4.25 % (1438643)------------------------------
% 23.37/4.25 % (1438592)Success in time 3.22 s
% 23.37/4.25 % Vampire exiting
%------------------------------------------------------------------------------