%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT251-1 : 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 : n011.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 11:46:23 AM UTC 2026
% Result : Unsatisfiable 9.82s 2.67s
% Output : Refutation 11.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 16
% Syntax : Number of formulae : 97 ( 93 unt; 3 def)
% Number of atoms : 103 ( 102 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 181 ( 181 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
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(X0,join(X1,X2)) = join(meet(X0,join(X2,meet(X0,X1))),meet(X0,join(X1,meet(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H69) ).
fof(f13,axiom,
meet(b,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
fof(f14,plain,
a = meet(b,a),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f16,plain,
complement(a) != join(complement(b),complement(a)),
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF0 = complement(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f18,plain,
complement(a) = sF0,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF1 = complement(b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f20,plain,
complement(b) = sF1,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF2 = join(sF1,sF0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f22,plain,
join(sF1,sF0) = sF2,
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
sF0 != sF2,
inference(definition_folding,[],[f16,f22,f18,f20,f18]) ).
fof(f24,plain,
complement(a) != sF2,
inference(backward_demodulation,[],[f23,f18]) ).
fof(f25,plain,
sF2 = join(sF1,complement(a)),
inference(forward_demodulation,[],[f22,f18]) ).
fof(f26,plain,
join(complement(b),complement(a)) = sF2,
inference(forward_demodulation,[],[f25,f20]) ).
fof(f29,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f45,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f49,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f50,plain,
b = join(b,a),
inference(superposition,[],[f4,f14]) ).
fof(f52,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
fof(f53,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f131,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f49,f53]) ).
fof(f133,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f53]) ).
fof(f135,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f52,f131]) ).
fof(f159,plain,
! [X0,X1] : meet(one,join(X1,X0)) = join(join(X0,meet(one,X1)),meet(one,join(X1,meet(one,X0)))),
inference(superposition,[],[f12,f133]) ).
fof(f160,plain,
! [X0,X1] : meet(one,join(X1,X0)) = join(X0,join(meet(one,X1),meet(one,join(X1,meet(one,X0))))),
inference(forward_demodulation,[],[f159,f8]) ).
fof(f164,plain,
! [X0,X1] : meet(one,join(X1,X0)) = join(X0,join(meet(one,X1),join(X1,meet(one,X0)))),
inference(forward_demodulation,[],[f160,f133]) ).
fof(f168,plain,
! [X0,X1] : meet(one,join(X1,X0)) = join(X0,join(X1,join(meet(one,X0),meet(one,X1)))),
inference(forward_demodulation,[],[f164,f45]) ).
fof(f172,plain,
! [X0,X1] : meet(one,join(X1,X0)) = join(X0,join(X1,join(meet(one,X0),X1))),
inference(forward_demodulation,[],[f168,f133]) ).
fof(f176,plain,
! [X0,X1] : meet(one,join(X1,X0)) = join(X0,join(X1,join(X0,X1))),
inference(forward_demodulation,[],[f172,f133]) ).
fof(f180,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,join(X0,X1))),
inference(forward_demodulation,[],[f176,f133]) ).
fof(f210,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = join(meet(X0,join(complement(X0),meet(X0,X1))),meet(X0,join(X1,zero))),
inference(superposition,[],[f12,f10]) ).
fof(f213,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f217,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = join(meet(X0,join(X1,zero)),meet(X0,join(complement(X0),meet(X0,X1)))),
inference(forward_demodulation,[],[f210,f6]) ).
fof(f218,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = join(meet(X0,X1),meet(X0,join(complement(X0),meet(X0,X1)))),
inference(forward_demodulation,[],[f217,f213]) ).
fof(f272,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f213]) ).
fof(f288,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f49,f272]) ).
fof(f322,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f343,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X2,X3)) = join(meet(meet(X0,X1),join(X3,meet(meet(X0,X1),X2))),meet(X0,meet(X1,join(X2,meet(meet(X0,X1),X3))))),
inference(superposition,[],[f12,f7]) ).
fof(f344,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X3,X2)) = join(meet(X0,meet(X1,join(X2,meet(meet(X0,X1),X3)))),meet(meet(X0,X1),join(X3,meet(meet(X0,X1),X2)))),
inference(superposition,[],[f12,f7]) ).
fof(f351,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X3,X2)) = join(meet(X0,meet(X1,join(X2,meet(meet(X0,X1),X3)))),meet(X0,meet(X1,join(X3,meet(meet(X0,X1),X2))))),
inference(forward_demodulation,[],[f344,f7]) ).
fof(f352,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X2,X3)) = join(meet(X0,meet(X1,join(X2,meet(meet(X0,X1),X3)))),meet(meet(X0,X1),join(X3,meet(meet(X0,X1),X2)))),
inference(forward_demodulation,[],[f343,f6]) ).
fof(f361,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X3,X2)) = join(meet(X0,meet(X1,join(X2,meet(meet(X0,X1),X3)))),meet(X0,meet(X1,join(X3,meet(X0,meet(X1,X2)))))),
inference(forward_demodulation,[],[f351,f7]) ).
fof(f362,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X2,X3)) = join(meet(X0,meet(X1,join(X2,meet(meet(X0,X1),X3)))),meet(X0,meet(X1,join(X3,meet(meet(X0,X1),X2))))),
inference(forward_demodulation,[],[f352,f7]) ).
fof(f367,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X3,X2)) = join(meet(X0,meet(X1,join(X2,meet(X0,meet(X1,X3))))),meet(X0,meet(X1,join(X3,meet(X0,meet(X1,X2)))))),
inference(forward_demodulation,[],[f361,f7]) ).
fof(f368,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X2,X3)) = join(meet(X0,meet(X1,join(X2,meet(meet(X0,X1),X3)))),meet(X0,meet(X1,join(X3,meet(X0,meet(X1,X2)))))),
inference(forward_demodulation,[],[f362,f7]) ).
fof(f371,plain,
! [X2,X3,X0,X1] : join(meet(X0,meet(X1,join(X2,meet(X0,meet(X1,X3))))),meet(X0,meet(X1,join(X3,meet(X0,meet(X1,X2)))))) = meet(X0,meet(X1,join(X3,X2))),
inference(forward_demodulation,[],[f367,f7]) ).
fof(f372,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X2,X3)) = join(meet(X0,meet(X1,join(X2,meet(X0,meet(X1,X3))))),meet(X0,meet(X1,join(X3,meet(X0,meet(X1,X2)))))),
inference(forward_demodulation,[],[f368,f7]) ).
fof(f375,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),join(X2,X3)) = meet(X0,meet(X1,join(X3,X2))),
inference(forward_demodulation,[],[f372,f371]) ).
fof(f378,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,join(X3,X2))) = meet(X0,meet(X1,join(X2,X3))),
inference(forward_demodulation,[],[f375,f7]) ).
fof(f383,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f29,f4]) ).
fof(f398,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f49,f29]) ).
fof(f403,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f398,f6]) ).
fof(f409,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f383,f5]) ).
fof(f411,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(backward_demodulation,[],[f180,f403]) ).
fof(f458,plain,
! [X2,X0,X1] : join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(X2,meet(X0,X1)))) = join(meet(X0,join(X2,meet(X0,X1))),meet(X0,join(X1,X2))),
inference(superposition,[],[f411,f12]) ).
fof(f480,plain,
! [X2,X0,X1] : join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(X2,meet(X0,X1)))) = join(meet(X0,join(X1,X2)),meet(X0,join(X2,meet(X0,X1)))),
inference(forward_demodulation,[],[f458,f6]) ).
fof(f488,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = join(meet(X0,join(X1,X2)),meet(X0,join(X2,meet(X0,X1)))),
inference(forward_demodulation,[],[f480,f12]) ).
fof(f617,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(one,meet(X0,join(X1,X2))),
inference(superposition,[],[f133,f378]) ).
fof(f618,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[],[f617,f133]) ).
fof(f692,plain,
! [X0,X1] : meet(X0,join(join(complement(X0),meet(X0,X1)),meet(X0,X1))) = join(meet(X0,meet(X0,join(X1,complement(X0)))),meet(X0,join(join(complement(X0),meet(X0,X1)),meet(X0,meet(X0,X1))))),
inference(superposition,[],[f12,f218]) ).
fof(f702,plain,
! [X0,X1] : meet(X0,join(join(complement(X0),meet(X0,X1)),meet(X0,X1))) = join(meet(X0,meet(X0,join(X1,complement(X0)))),meet(X0,join(meet(X0,meet(X0,X1)),join(complement(X0),meet(X0,X1))))),
inference(forward_demodulation,[],[f692,f618]) ).
fof(f723,plain,
! [X0,X1] : meet(X0,join(join(complement(X0),meet(X0,X1)),meet(X0,X1))) = join(meet(X0,meet(X0,join(X1,complement(X0)))),meet(X0,join(meet(X0,X1),join(meet(X0,meet(X0,X1)),complement(X0))))),
inference(forward_demodulation,[],[f702,f45]) ).
fof(f739,plain,
! [X0,X1] : meet(X0,join(join(complement(X0),meet(X0,X1)),meet(X0,X1))) = join(meet(X0,meet(X0,join(X1,complement(X0)))),meet(X0,join(complement(X0),join(meet(X0,X1),meet(X0,meet(X0,X1)))))),
inference(forward_demodulation,[],[f723,f45]) ).
fof(f750,plain,
! [X0,X1] : meet(X0,join(join(complement(X0),meet(X0,X1)),meet(X0,X1))) = join(meet(X0,meet(X0,join(X1,complement(X0)))),meet(X0,join(complement(X0),meet(X0,X1)))),
inference(forward_demodulation,[],[f739,f49]) ).
fof(f757,plain,
! [X0,X1] : meet(X0,join(join(complement(X0),meet(X0,X1)),meet(X0,X1))) = join(meet(X0,join(complement(X0),meet(X0,X1))),meet(X0,meet(X0,join(X1,complement(X0))))),
inference(forward_demodulation,[],[f750,f6]) ).
fof(f760,plain,
! [X0,X1] : meet(X0,join(join(complement(X0),meet(X0,X1)),meet(X0,X1))) = join(meet(X0,join(complement(X0),meet(X0,X1))),meet(X0,join(X1,complement(X0)))),
inference(forward_demodulation,[],[f757,f409]) ).
fof(f763,plain,
! [X0,X1] : meet(X0,join(join(complement(X0),meet(X0,X1)),meet(X0,X1))) = join(meet(X0,join(X1,complement(X0))),meet(X0,join(complement(X0),meet(X0,X1)))),
inference(forward_demodulation,[],[f760,f6]) ).
fof(f765,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(join(complement(X0),meet(X0,X1)),meet(X0,X1))),
inference(forward_demodulation,[],[f763,f488]) ).
fof(f767,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(meet(X0,X1),join(complement(X0),meet(X0,X1)))),
inference(forward_demodulation,[],[f765,f618]) ).
fof(f769,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(complement(X0),join(meet(X0,X1),meet(X0,X1)))),
inference(forward_demodulation,[],[f767,f45]) ).
fof(f771,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X0,X1))) = meet(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f769,f2]) ).
fof(f918,plain,
! [X0,X1] :
( one != one
| zero != meet(X0,join(complement(X0),X1))
| complement(X0) = join(complement(X0),X1) ),
inference(superposition,[],[f11,f135]) ).
fof(f924,plain,
! [X0,X1] :
( zero != meet(X0,join(complement(X0),X1))
| complement(X0) = join(complement(X0),X1) ),
inference(trivial_inequality_removal,[],[f918]) ).
fof(f1231,plain,
! [X0,X1] : meet(X0,zero) = meet(X0,complement(join(X0,X1))),
inference(superposition,[],[f322,f10]) ).
fof(f1268,plain,
! [X0,X1] : zero = meet(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1231,f288]) ).
fof(f2147,plain,
! [X0,X1] : meet(X0,join(complement(X0),zero)) = meet(X0,join(complement(X0),complement(join(X0,X1)))),
inference(superposition,[],[f771,f1268]) ).
fof(f2198,plain,
! [X0,X1] : meet(X0,join(zero,complement(X0))) = meet(X0,join(complement(X0),complement(join(X0,X1)))),
inference(forward_demodulation,[],[f2147,f618]) ).
fof(f2225,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(X0,join(complement(X0),complement(join(X0,X1)))),
inference(forward_demodulation,[],[f2198,f272]) ).
fof(f2240,plain,
! [X0,X1] : zero = meet(X0,join(complement(X0),complement(join(X0,X1)))),
inference(forward_demodulation,[],[f2225,f10]) ).
fof(f5515,plain,
! [X0,X1] :
( zero != zero
| complement(X0) = join(complement(X0),complement(join(X0,X1))) ),
inference(superposition,[],[f924,f2240]) ).
fof(f5547,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(trivial_inequality_removal,[],[f5515]) ).
fof(f5686,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f5547,f411]) ).
fof(f5944,plain,
complement(a) = join(complement(a),complement(b)),
inference(superposition,[],[f5686,f50]) ).
fof(f5985,plain,
complement(a) = join(complement(b),complement(a)),
inference(forward_demodulation,[],[f5944,f6]) ).
fof(f6016,plain,
complement(a) = sF2,
inference(backward_demodulation,[],[f26,f5985]) ).
fof(f6029,plain,
$false,
inference(forward_subsumption_resolution,[],[f6016,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT251-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n011.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 27 14:08:30 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 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
% 9.82/2.67 % (2447560)Input is clausal, will run a generic CNF schedule.
% 9.82/2.67 % (2447568)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2521450948:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.82/2.67 % (2447566)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=4037819246:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.82/2.67 % (2447567)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3820291723:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.82/2.67 % (2447569)lrs+10_1_sil=8000:sp=occurrence:random_seed=3086481332:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.82/2.67 % (2447571)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2324926701:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.82/2.67 % (2447570)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=727603517:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.82/2.67 % (2447572)dis-21_1_sil=8000:lcm=predicate:random_seed=2976521928: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)
% 9.82/2.67 % (2447572)Refutation not found, incomplete strategy
% 9.82/2.67 % (2447572)------------------------------
% 9.82/2.67 % (2447572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.67 % (2447572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.67 % (2447572)CaDiCaL version: 2.1.3
% 9.82/2.67 % (2447572)Termination reason: Refutation not found, incomplete strategy
% 9.82/2.67 % (2447572)Time elapsed: 0.003 s
% 9.82/2.67 % (2447572)Peak memory usage: 88 MB
% 9.82/2.67 % (2447572)Instructions burned: 1 (million)
% 9.82/2.67 % (2447569)Instruction limit reached!
% 9.82/2.67 % (2447569)------------------------------
% 9.82/2.67 % (2447569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.67 % (2447569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.67 % (2447569)CaDiCaL version: 2.1.3
% 9.82/2.67 % (2447569)Termination reason: Instruction limit
% 9.82/2.67 % (2447569)Termination phase: Saturation
% 9.82/2.67 % (2447569)Time elapsed: 0.109 s
% 9.82/2.67 % (2447569)Peak memory usage: 89 MB
% 9.82/2.67 % (2447569)Instructions burned: 108 (million)
% 9.82/2.67 % (2447570)Instruction limit reached!
% 9.82/2.67 % (2447570)------------------------------
% 9.82/2.67 % (2447570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.67 % (2447570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.67 % (2447570)CaDiCaL version: 2.1.3
% 9.82/2.67 % (2447570)Termination reason: Instruction limit
% 9.82/2.67 % (2447570)Termination phase: Saturation
% 9.82/2.67 % (2447570)Time elapsed: 0.113 s
% 9.82/2.67 % (2447570)Peak memory usage: 88 MB
% 9.82/2.67 % (2447570)Instructions burned: 114 (million)
% 9.82/2.67 % (2447571)Instruction limit reached!
% 9.82/2.67 % (2447571)------------------------------
% 9.82/2.67 % (2447571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.67 % (2447571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.67 % (2447571)CaDiCaL version: 2.1.3
% 9.82/2.67 % (2447571)Termination reason: Instruction limit
% 9.82/2.67 % (2447571)Termination phase: Saturation
% 9.82/2.67 % (2447571)Time elapsed: 0.171 s
% 9.82/2.67 % (2447571)Peak memory usage: 89 MB
% 9.82/2.67 % (2447571)Instructions burned: 180 (million)
% 9.82/2.67 % (2447580)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=2774616453:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 9.82/2.67 % (2447581)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3316539408:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 9.82/2.67 % (2447572)------------------------------
% 9.82/2.67 % (2447572)------------------------------
% 9.82/2.67 % (2447582)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1686170120:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 9.82/2.67 % (2447580)Instruction limit reached!
% 9.82/2.67 % (2447580)------------------------------
% 9.82/2.67 % (2447580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.67 % (2447580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.67 % (2447580)CaDiCaL version: 2.1.3
% 9.82/2.67 % (2447580)Termination reason: Instruction limit
% 9.82/2.67 % (2447580)Termination phase: Saturation
% 9.82/2.67 % (2447580)Time elapsed: 0.133 s
% 9.82/2.67 % (2447580)Peak memory usage: 89 MB
% 9.82/2.67 % (2447580)Instructions burned: 143 (million)
% 9.82/2.67 % (2447581)Instruction limit reached!
% 9.82/2.67 % (2447581)------------------------------
% 9.82/2.67 % (2447581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.67 % (2447581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.67 % (2447581)CaDiCaL version: 2.1.3
% 9.82/2.67 % (2447581)Termination reason: Instruction limit
% 9.82/2.67 % (2447581)Termination phase: Saturation
% 9.82/2.67 % (2447581)Time elapsed: 0.193 s
% 9.82/2.67 % (2447581)Peak memory usage: 90 MB
% 9.82/2.67 % (2447581)Instructions burned: 189 (million)
% 9.82/2.67 % (2447582)Instruction limit reached!
% 9.82/2.67 % (2447582)------------------------------
% 9.82/2.67 % (2447582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.67 % (2447582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.67 % (2447582)CaDiCaL version: 2.1.3
% 9.82/2.67 % (2447582)Termination reason: Instruction limit
% 9.82/2.67 % (2447582)Termination phase: Saturation
% 9.82/2.67 % (2447582)Time elapsed: 0.214 s
% 9.82/2.67 % (2447582)Peak memory usage: 90 MB
% 9.82/2.67 % (2447582)Instructions burned: 219 (million)
% 9.82/2.67 % (2447585)lrs+10_64_to=lpo:sil=8000:random_seed=4256099366:i=126:bd=preordered_2992 on theBenchmark for (2992ds/126Mi)
% 9.82/2.67 % (2447587)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1519508523:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 9.82/2.67 % (2447585)Instruction limit reached!
% 9.82/2.67 % (2447585)------------------------------
% 9.82/2.67 % (2447585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.67 % (2447585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.67 % (2447585)CaDiCaL version: 2.1.3
% 9.82/2.67 % (2447585)Termination reason: Instruction limit
% 9.82/2.67 % (2447585)Termination phase: Saturation
% 9.82/2.67 % (2447585)Time elapsed: 0.128 s
% 9.82/2.67 % (2447585)Peak memory usage: 88 MB
% 9.82/2.67 % (2447585)Instructions burned: 126 (million)
% 9.82/2.67 % (2447588)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4002085975:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 9.82/2.67 % (2447568)First to succeed.
% 9.82/2.67 % (2447568)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2447560"
% 9.82/2.67 % (2447589)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3746578363:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 9.82/2.67 % (2447587)Instruction limit reached!
% 9.82/2.67 % (2447587)------------------------------
% 9.82/2.67 % (2447587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.67 % (2447587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.67 % (2447587)CaDiCaL version: 2.1.3
% 9.82/2.67 % (2447587)Termination reason: Instruction limit
% 9.82/2.67 % (2447587)Termination phase: Saturation
% 9.82/2.67 % (2447587)Time elapsed: 0.199 s
% 9.82/2.67 % (2447587)Peak memory usage: 90 MB
% 9.82/2.67 % (2447587)Instructions burned: 194 (million)
% 9.82/2.67 % (2447588)Instruction limit reached!
% 9.82/2.67 % (2447588)------------------------------
% 9.82/2.67 % (2447588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.82/2.67 % (2447588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.82/2.67 % (2447588)CaDiCaL version: 2.1.3
% 9.82/2.67 % (2447588)Termination reason: Instruction limit
% 9.82/2.67 % (2447588)Termination phase: Saturation
% 9.82/2.67 % (2447588)Time elapsed: 0.164 s
% 9.82/2.67 % (2447588)Peak memory usage: 90 MB
% 9.82/2.67 % (2447588)Instructions burned: 157 (million)
% 9.82/2.67 % (2447567)Also succeeded, but the first one will report.
% 9.82/2.67 % (2447568)Refutation found. Thanks to Tanya!
% 9.82/2.67 % SZS status Unsatisfiable for theBenchmark
% 9.82/2.67 % SZS output start Proof for theBenchmark
% See solution above
% 11.23/3.01 % (2447568)------------------------------
% 11.23/3.01 % (2447568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/3.01 % (2447568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/3.01 % (2447568)CaDiCaL version: 2.1.3
% 11.23/3.01 % (2447568)Termination reason: Refutation
% 11.23/3.01 % (2447568)Time elapsed: 0.974 s
% 11.23/3.01 % (2447568)Peak memory usage: 135 MB
% 11.23/3.01 % (2447568)Instructions burned: 1608 (million)
% 11.23/3.01 % (2447568)------------------------------
% 11.23/3.01 % (2447568)------------------------------
% 11.23/3.01 % (2447560)Success in time 1.452 s
% 11.23/3.01 % Vampire exiting
%------------------------------------------------------------------------------