%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL027+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:53 PM UTC 2026
% Result : Theorem 9.16s 2.38s
% Output : Refutation 10.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 24
% Syntax : Number of formulae : 132 ( 128 unt; 11 def)
% Number of atoms : 136 ( 135 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 15 con; 0-2 aty)
% Number of variables : 129 ( 128 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f17,conjecture,
! [X0] :
( join(X0,one) = one
=> meet(complement(composition(X0,top)),one) = meet(complement(X0),one) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( join(X0,one) = one
=> meet(complement(composition(X0,top)),one) = meet(complement(X0),one) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] :
( meet(complement(composition(X0,top)),one) != meet(complement(X0),one)
& join(X0,one) = one ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( meet(complement(composition(sK0,top)),one) != meet(complement(sK0),one)
& one = join(sK0,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
meet(complement(composition(sK0,top)),one) != meet(complement(sK0),one),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f43,plain,
complement(join(complement(complement(composition(sK0,top))),complement(one))) != complement(join(complement(complement(sK0)),complement(one))),
inference(definition_unfolding,[],[f38,f24,f24]) ).
fof(f44,definition,
sF1 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f45,plain,
composition(sK0,top) = sF1,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f47,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f49,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF4 = complement(one),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f51,plain,
complement(one) = sF4,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF5 = join(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f53,plain,
join(sF3,sF4) = sF5,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f55,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF7 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f57,plain,
complement(sK0) = sF7,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f59,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF9 = join(sF8,sF4),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f61,plain,
join(sF8,sF4) = sF9,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f63,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f62]) ).
fof(f64,plain,
sF6 != sF10,
inference(definition_folding,[],[f43,f63,f61,f51,f59,f57,f55,f53,f51,f49,f47,f45]) ).
fof(f65,definition,
sF11 = join(sK0,one),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f66,plain,
join(sK0,one) = sF11,
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
one = sF11,
inference(definition_folding,[],[f37,f66]) ).
fof(f68,plain,
one = join(sK0,one),
inference(forward_demodulation,[],[f66,f67]) ).
fof(f129,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f142,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f211,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f27,f30]) ).
fof(f278,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f211,f30]) ).
fof(f287,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f278,f29]) ).
fof(f290,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f287,f29]) ).
fof(f292,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f290,f30]) ).
fof(f347,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f22,f23]) ).
fof(f364,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f436,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f142,f26]) ).
fof(f450,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f436,f28]) ).
fof(f464,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f27,f450]) ).
fof(f466,plain,
one = converse(one),
inference(superposition,[],[f26,f450]) ).
fof(f470,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f464,f466]) ).
fof(f476,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f450,f466]) ).
fof(f493,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f31,f476]) ).
fof(f496,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f493,f450]) ).
fof(f519,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f347,f496]) ).
fof(f523,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f519,f23]) ).
fof(f545,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f523,f523]) ).
fof(f548,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f523,f39]) ).
fof(f615,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f21,f548]) ).
fof(f631,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f364,f523]) ).
fof(f759,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f347,f545]) ).
fof(f775,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f759,f39]) ).
fof(f781,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f775,f615]) ).
fof(f785,plain,
! [X0] : join(one,X0) = join(complement(sF4),X0),
inference(superposition,[],[f781,f51]) ).
fof(f791,plain,
! [X0] : join(sF7,X0) = join(complement(sF8),X0),
inference(superposition,[],[f781,f59]) ).
fof(f810,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f523,f781]) ).
fof(f827,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f548,f781]) ).
fof(f828,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f827,f548]) ).
fof(f855,plain,
one = complement(sF4),
inference(superposition,[],[f828,f51]) ).
fof(f857,plain,
sK0 = complement(sF7),
inference(superposition,[],[f828,f57]) ).
fof(f858,plain,
sF1 = complement(sF2),
inference(superposition,[],[f828,f47]) ).
fof(f871,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f129,f828]) ).
fof(f883,plain,
sF1 = sF3,
inference(forward_demodulation,[],[f858,f49]) ).
fof(f884,plain,
sK0 = sF8,
inference(forward_demodulation,[],[f857,f59]) ).
fof(f886,plain,
sF1 = composition(sF8,top),
inference(superposition,[],[f45,f884]) ).
fof(f889,plain,
sF5 = join(sF1,sF4),
inference(superposition,[],[f53,f883]) ).
fof(f992,plain,
sF5 = join(sF4,sF1),
inference(superposition,[],[f21,f889]) ).
fof(f1176,plain,
complement(sK0) = join(complement(sK0),complement(one)),
inference(superposition,[],[f810,f68]) ).
fof(f1221,plain,
complement(sK0) = join(complement(sK0),sF4),
inference(forward_demodulation,[],[f1176,f51]) ).
fof(f1242,plain,
sF7 = join(sF7,sF4),
inference(forward_demodulation,[],[f1221,f57]) ).
fof(f1398,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f23,f871]) ).
fof(f1419,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f1398,f781]) ).
fof(f1476,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1419,f631]) ).
fof(f1542,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1476,f21]) ).
fof(f1573,plain,
join(complement(sF4),sF8) = join(sF8,complement(sF9)),
inference(superposition,[],[f1476,f61]) ).
fof(f1625,plain,
join(complement(sF4),sF8) = join(sF8,sF10),
inference(forward_demodulation,[],[f1573,f63]) ).
fof(f1661,plain,
join(one,sF8) = join(sF8,sF10),
inference(forward_demodulation,[],[f1625,f785]) ).
fof(f1741,plain,
join(complement(sF8),sF4) = join(sF4,complement(sF9)),
inference(superposition,[],[f1542,f61]) ).
fof(f1802,plain,
join(complement(sF8),sF4) = join(sF4,sF10),
inference(forward_demodulation,[],[f1741,f63]) ).
fof(f1834,plain,
join(sF7,sF4) = join(sF4,sF10),
inference(forward_demodulation,[],[f1802,f791]) ).
fof(f1858,plain,
sF7 = join(sF4,sF10),
inference(forward_demodulation,[],[f1834,f1242]) ).
fof(f2394,plain,
complement(sF4) = join(complement(sF4),complement(sF7)),
inference(superposition,[],[f810,f1858]) ).
fof(f2403,plain,
complement(sF4) = join(one,complement(sF7)),
inference(forward_demodulation,[],[f2394,f785]) ).
fof(f2409,plain,
complement(sF4) = join(one,sF8),
inference(forward_demodulation,[],[f2403,f59]) ).
fof(f2413,plain,
complement(sF4) = join(sF8,sF10),
inference(forward_demodulation,[],[f2409,f1661]) ).
fof(f2415,plain,
one = join(sF8,sF10),
inference(forward_demodulation,[],[f2413,f855]) ).
fof(f2848,plain,
! [X0] : join(X0,composition(sF8,X0)) = composition(join(sF8,sF10),X0),
inference(superposition,[],[f470,f1661]) ).
fof(f2871,plain,
! [X0] : composition(one,X0) = join(X0,composition(sF8,X0)),
inference(forward_demodulation,[],[f2848,f2415]) ).
fof(f2880,plain,
! [X0] : join(X0,composition(sF8,X0)) = X0,
inference(forward_demodulation,[],[f2871,f476]) ).
fof(f2899,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sF8,X0),X1)),
inference(superposition,[],[f364,f2880]) ).
fof(f3465,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f292]) ).
fof(f3479,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f3465,f28]) ).
fof(f7038,plain,
! [X0,X1] : join(composition(sF8,X1),X0) = join(X0,composition(sF8,join(X0,X1))),
inference(superposition,[],[f2899,f3479]) ).
fof(f7171,plain,
! [X0] : join(composition(sF8,complement(X0)),X0) = join(X0,composition(sF8,top)),
inference(superposition,[],[f7038,f32]) ).
fof(f7359,plain,
! [X0] : join(X0,sF1) = join(composition(sF8,complement(X0)),X0),
inference(forward_demodulation,[],[f7171,f886]) ).
fof(f7419,plain,
join(sF4,sF1) = join(composition(sF8,one),sF4),
inference(superposition,[],[f7359,f855]) ).
fof(f7481,plain,
join(sF8,sF4) = join(sF4,sF1),
inference(forward_demodulation,[],[f7419,f26]) ).
fof(f7506,plain,
sF5 = join(sF8,sF4),
inference(forward_demodulation,[],[f7481,f992]) ).
fof(f7517,plain,
sF5 = sF9,
inference(forward_demodulation,[],[f7506,f61]) ).
fof(f7521,plain,
complement(sF5) = sF10,
inference(superposition,[],[f63,f7517]) ).
fof(f7527,plain,
sF6 = sF10,
inference(forward_demodulation,[],[f7521,f55]) ).
fof(f7528,plain,
$false,
inference(forward_subsumption_resolution,[],[f7527,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL027+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.46 % Computer : n006.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Sun Sep 27 22:53:41 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.52 Running first-order theorem proving
% 0.21/0.52 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
% 9.16/2.38 % (3420507)Detected formulas, will run a generic FOF schedule.
% 9.16/2.38 % (3420518)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=3043288928:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.16/2.38 % (3420525)dis-21_1_sil=8000:lcm=predicate:random_seed=1359104897:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.16/2.38 % (3420522)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4193423264:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.16/2.38 % (3420523)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2308628329:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.16/2.38 % (3420521)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1216390394:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.16/2.38 % (3420519)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2521099093:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.16/2.38 % (3420520)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=24615484:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.16/2.38 % (3420525)Refutation not found, incomplete strategy
% 9.16/2.38 % (3420525)------------------------------
% 9.16/2.38 % (3420525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.38 % (3420525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.38 % (3420525)CaDiCaL version: 2.1.3
% 9.16/2.38 % (3420525)Termination reason: Refutation not found, incomplete strategy
% 9.16/2.38 % (3420525)Time elapsed: 0.003 s
% 9.16/2.38 % (3420525)Peak memory usage: 88 MB
% 9.16/2.38 % (3420525)Instructions burned: 1 (million)
% 9.16/2.38 % (3420521)Instruction limit reached!
% 9.16/2.38 % (3420521)------------------------------
% 9.16/2.38 % (3420521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.38 % (3420521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.38 % (3420521)CaDiCaL version: 2.1.3
% 9.16/2.38 % (3420521)Termination reason: Instruction limit
% 9.16/2.38 % (3420521)Termination phase: Saturation
% 9.16/2.38 % (3420521)Time elapsed: 0.109 s
% 9.16/2.38 % (3420521)Peak memory usage: 89 MB
% 9.16/2.38 % (3420521)Instructions burned: 109 (million)
% 9.16/2.38 % (3420522)Instruction limit reached!
% 9.16/2.38 % (3420522)------------------------------
% 9.16/2.38 % (3420522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.38 % (3420522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.38 % (3420522)CaDiCaL version: 2.1.3
% 9.16/2.38 % (3420522)Termination reason: Instruction limit
% 9.16/2.38 % (3420522)Termination phase: Saturation
% 9.16/2.38 % (3420522)Time elapsed: 0.114 s
% 9.16/2.38 % (3420522)Peak memory usage: 88 MB
% 9.16/2.38 % (3420522)Instructions burned: 119 (million)
% 9.16/2.38 % (3420523)Instruction limit reached!
% 9.16/2.38 % (3420523)------------------------------
% 9.16/2.38 % (3420523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.38 % (3420523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.38 % (3420523)CaDiCaL version: 2.1.3
% 9.16/2.38 % (3420523)Termination reason: Instruction limit
% 9.16/2.38 % (3420523)Termination phase: Saturation
% 9.16/2.38 % (3420523)Time elapsed: 0.132 s
% 9.16/2.38 % (3420523)Peak memory usage: 89 MB
% 9.16/2.38 % (3420523)Instructions burned: 139 (million)
% 9.16/2.38 % (3420536)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2762540881:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.16/2.38 % (3420534)lrs+10_1_sil=8000:sp=occurrence:random_seed=859370201:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 9.16/2.38 % (3420535)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3892153163:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 9.16/2.38 % (3420525)------------------------------
% 9.16/2.38 % (3420525)------------------------------
% 9.16/2.38 % (3420535)Instruction limit reached!
% 9.16/2.38 % (3420535)------------------------------
% 9.16/2.38 % (3420535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.38 % (3420535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.38 % (3420535)CaDiCaL version: 2.1.3
% 9.16/2.38 % (3420535)Termination reason: Instruction limit
% 9.16/2.38 % (3420535)Termination phase: Saturation
% 9.16/2.38 % (3420535)Time elapsed: 0.159 s
% 9.16/2.38 % (3420535)Peak memory usage: 90 MB
% 9.16/2.38 % (3420535)Instructions burned: 157 (million)
% 9.16/2.38 % (3420536)Instruction limit reached!
% 9.16/2.38 % (3420536)------------------------------
% 9.16/2.38 % (3420536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.38 % (3420536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.38 % (3420536)CaDiCaL version: 2.1.3
% 9.16/2.38 % (3420536)Termination reason: Instruction limit
% 9.16/2.38 % (3420536)Termination phase: Saturation
% 9.16/2.38 % (3420536)Time elapsed: 0.219 s
% 9.16/2.38 % (3420536)Peak memory usage: 92 MB
% 9.16/2.38 % (3420536)Instructions burned: 326 (million)
% 9.16/2.38 % (3420534)Instruction limit reached!
% 9.16/2.38 % (3420534)------------------------------
% 9.16/2.38 % (3420534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.38 % (3420534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.38 % (3420534)CaDiCaL version: 2.1.3
% 9.16/2.38 % (3420534)Termination reason: Instruction limit
% 9.16/2.38 % (3420534)Termination phase: Saturation
% 9.16/2.38 % (3420534)Time elapsed: 0.280 s
% 9.16/2.38 % (3420534)Peak memory usage: 91 MB
% 9.16/2.38 % (3420534)Instructions burned: 285 (million)
% 9.16/2.38 % (3420540)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3374669885:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 9.16/2.38 % (3420541)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2232339419:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 9.16/2.38 % (3420542)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2871298768:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 9.16/2.38 % (3420543)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4033418827:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 9.16/2.38 % (3420540)Instruction limit reached!
% 9.16/2.38 % (3420540)------------------------------
% 9.16/2.38 % (3420540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.38 % (3420540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.38 % (3420540)CaDiCaL version: 2.1.3
% 9.16/2.38 % (3420540)Termination reason: Instruction limit
% 9.16/2.38 % (3420540)Termination phase: Saturation
% 9.16/2.38 % (3420540)Time elapsed: 0.244 s
% 9.16/2.38 % (3420540)Peak memory usage: 92 MB
% 9.16/2.38 % (3420540)Instructions burned: 248 (million)
% 9.16/2.38 % (3420541)Instruction limit reached!
% 9.16/2.38 % (3420541)------------------------------
% 9.16/2.38 % (3420541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.38 % (3420541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.38 % (3420541)CaDiCaL version: 2.1.3
% 9.16/2.38 % (3420541)Termination reason: Instruction limit
% 9.16/2.38 % (3420541)Termination phase: Saturation
% 9.16/2.38 % (3420541)Time elapsed: 0.254 s
% 9.16/2.38 % (3420541)Peak memory usage: 91 MB
% 9.16/2.38 % (3420541)Instructions burned: 294 (million)
% 9.16/2.38 % (3420518)First to succeed.
% 9.16/2.38 % (3420518)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3420507"
% 9.16/2.38 % (3420543)Instruction limit reached!
% 9.16/2.38 % (3420543)------------------------------
% 9.16/2.38 % (3420543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.38 % (3420543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.38 % (3420543)CaDiCaL version: 2.1.3
% 9.16/2.38 % (3420543)Termination reason: Instruction limit
% 9.16/2.38 % (3420543)Termination phase: Saturation
% 9.16/2.38 % (3420543)Time elapsed: 0.116 s
% 9.16/2.38 % (3420543)Peak memory usage: 90 MB
% 9.16/2.38 % (3420543)Instructions burned: 113 (million)
% 9.16/2.38 % (3420549)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3734404651:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 9.16/2.38 % (3420548)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=492622324:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 9.16/2.38 % (3420548)Refutation not found, incomplete strategy
% 9.16/2.38 % (3420548)------------------------------
% 9.16/2.38 % (3420548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.38 % (3420548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.38 % (3420548)CaDiCaL version: 2.1.3
% 9.16/2.38 % (3420548)Termination reason: Refutation not found, incomplete strategy
% 9.16/2.38 % (3420548)Time elapsed: 0.002 s
% 9.16/2.38 % (3420548)Peak memory usage: 87 MB
% 9.16/2.38 % (3420548)Instructions burned: 1 (million)
% 9.16/2.38 % (3420518)Refutation found. Thanks to Tanya!
% 9.16/2.38 % SZS status Theorem for theBenchmark
% 9.16/2.38 % SZS output start Proof for theBenchmark
% See solution above
% 10.29/2.51 % (3420518)------------------------------
% 10.29/2.51 % (3420518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.29/2.51 % (3420518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.29/2.51 % (3420518)CaDiCaL version: 2.1.3
% 10.29/2.51 % (3420518)Termination reason: Refutation
% 10.29/2.51 % (3420518)Time elapsed: 0.977 s
% 10.29/2.51 % (3420518)Peak memory usage: 137 MB
% 10.29/2.51 % (3420518)Instructions burned: 1768 (million)
% 10.29/2.51 % (3420518)------------------------------
% 10.29/2.51 % (3420518)------------------------------
% 10.29/2.51 % (3420507)Success in time 1.357 s
% 10.29/2.51 % Vampire exiting
%------------------------------------------------------------------------------