%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL050+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:34:08 PM UTC 2026
% Result : Theorem 13.97s 3.11s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 17
% Syntax : Number of formulae : 116 ( 116 unt; 3 def)
% Number of atoms : 116 ( 115 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 143 ( 142 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] : complement(composition(X0,top)) != composition(complement(composition(X0,top)),top),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f22,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
complement(composition(sK0,top)) != composition(complement(composition(sK0,top)),top),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f33,definition,
sF1 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f34,plain,
composition(sK0,top) = sF1,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f36,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF3 = composition(sF2,top),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f38,plain,
composition(sF2,top) = sF3,
inference(reorient_equations,[],[f37]) ).
fof(f39,plain,
sF2 != sF3,
inference(definition_folding,[],[f31,f38,f36,f34,f36,f34]) ).
fof(f42,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f45,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f24,f27]) ).
fof(f71,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f42,f23]) ).
fof(f72,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f71,f25]) ).
fof(f80,plain,
one = converse(one),
inference(superposition,[],[f23,f72]) ).
fof(f89,plain,
! [X0] : composition(sK0,composition(top,X0)) = composition(sF1,X0),
inference(superposition,[],[f22,f34]) ).
fof(f98,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f26,f25]) ).
fof(f108,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f72,f80]) ).
fof(f132,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f20,f29]) ).
fof(f134,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f137,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),complement(top)) = X0,
inference(superposition,[],[f20,f29]) ).
fof(f139,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f144,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f19,f29]) ).
fof(f173,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f45,f27]) ).
fof(f188,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f173,f26]) ).
fof(f198,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f188,f26]) ).
fof(f205,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f198,f27]) ).
fof(f228,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f205]) ).
fof(f240,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f228,f25]) ).
fof(f274,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f240,f23]) ).
fof(f282,plain,
! [X0,X1] : join(composition(X0,X1),X0) = composition(X0,join(X1,one)),
inference(superposition,[],[f240,f23]) ).
fof(f328,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(one))),
inference(superposition,[],[f274,f29]) ).
fof(f407,plain,
! [X0,X1] : complement(converse(X0)) = join(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),complement(converse(X0))),
inference(superposition,[],[f28,f27]) ).
fof(f410,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f28,f72]) ).
fof(f414,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(composition(converse(X1),complement(composition(X1,X0))),join(complement(X0),X2)),
inference(superposition,[],[f19,f28]) ).
fof(f417,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f410,f108]) ).
fof(f419,plain,
! [X0,X1] : complement(converse(X0)) = join(composition(X1,complement(converse(composition(X0,X1)))),complement(converse(X0))),
inference(forward_demodulation,[],[f407,f25]) ).
fof(f523,plain,
zero = complement(top),
inference(superposition,[],[f32,f29]) ).
fof(f531,plain,
! [X0] : top = join(join(complement(X0),complement(complement(X0))),zero),
inference(superposition,[],[f29,f32]) ).
fof(f539,plain,
! [X0] : top = join(complement(X0),join(complement(complement(X0)),zero)),
inference(forward_demodulation,[],[f531,f19]) ).
fof(f547,plain,
top = join(top,zero),
inference(forward_demodulation,[],[f539,f144]) ).
fof(f659,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f139,f29]) ).
fof(f682,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),zero) = X0,
inference(forward_demodulation,[],[f659,f523]) ).
fof(f691,plain,
! [X0] : join(complement(complement(X0)),zero) = X0,
inference(forward_demodulation,[],[f682,f417]) ).
fof(f712,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f144,f417]) ).
fof(f713,plain,
! [X0] : join(complement(X0),X0) = join(top,zero),
inference(superposition,[],[f144,f691]) ).
fof(f715,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f144,f18]) ).
fof(f733,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f713,f547]) ).
fof(f734,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f712,f29]) ).
fof(f792,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(join(X1,complement(X0)),X0),
inference(superposition,[],[f715,f139]) ).
fof(f793,plain,
! [X0] : join(top,X0) = join(top,complement(join(complement(X0),complement(complement(complement(X0)))))),
inference(superposition,[],[f715,f137]) ).
fof(f812,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f793,f734]) ).
fof(f813,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(X1,join(complement(X0),X0)),
inference(forward_demodulation,[],[f792,f19]) ).
fof(f819,plain,
! [X0,X1] : join(X1,top) = join(top,complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f813,f733]) ).
fof(f824,plain,
! [X1] : top = join(X1,top),
inference(forward_demodulation,[],[f819,f734]) ).
fof(f838,plain,
top = composition(top,top),
inference(superposition,[],[f328,f812]) ).
fof(f865,plain,
composition(sK0,top) = composition(sF1,top),
inference(superposition,[],[f89,f838]) ).
fof(f884,plain,
sF1 = composition(sF1,top),
inference(forward_demodulation,[],[f865,f34]) ).
fof(f995,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X0))),top))),
inference(superposition,[],[f134,f132]) ).
fof(f1010,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f995,f824]) ).
fof(f1023,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),zero),
inference(forward_demodulation,[],[f1010,f523]) ).
fof(f1030,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f1023,f417]) ).
fof(f1041,plain,
top = complement(zero),
inference(superposition,[],[f733,f1030]) ).
fof(f1044,plain,
! [X0] : join(complement(join(complement(X0),complement(zero))),complement(complement(X0))) = X0,
inference(superposition,[],[f20,f1030]) ).
fof(f1045,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f691,f1030]) ).
fof(f1049,plain,
! [X0] : join(complement(join(complement(X0),complement(zero))),X0) = X0,
inference(forward_demodulation,[],[f1044,f1045]) ).
fof(f1052,plain,
! [X0] : join(complement(join(complement(X0),top)),X0) = X0,
inference(forward_demodulation,[],[f1049,f1041]) ).
fof(f1054,plain,
! [X0] : join(complement(top),X0) = X0,
inference(forward_demodulation,[],[f1052,f824]) ).
fof(f1056,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f1054,f523]) ).
fof(f1082,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1030,f1045]) ).
fof(f2591,plain,
! [X0] : composition(X0,top) = join(composition(X0,top),X0),
inference(superposition,[],[f282,f812]) ).
fof(f3600,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f98,f1056]) ).
fof(f3621,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f3600,f25]) ).
fof(f3736,plain,
zero = converse(zero),
inference(superposition,[],[f1082,f3621]) ).
fof(f5147,plain,
! [X0] : join(complement(top),X0) = join(composition(converse(sF1),complement(sF1)),join(complement(top),X0)),
inference(superposition,[],[f414,f884]) ).
fof(f5251,plain,
! [X0] : join(zero,X0) = join(composition(converse(sF1),complement(sF1)),join(zero,X0)),
inference(forward_demodulation,[],[f5147,f523]) ).
fof(f5284,plain,
! [X0] : join(composition(converse(sF1),complement(sF1)),X0) = X0,
inference(forward_demodulation,[],[f5251,f1056]) ).
fof(f5302,plain,
! [X0] : join(composition(converse(sF1),sF2),X0) = X0,
inference(forward_demodulation,[],[f5284,f36]) ).
fof(f5372,plain,
zero = composition(converse(sF1),sF2),
inference(superposition,[],[f1082,f5302]) ).
fof(f5458,plain,
complement(converse(converse(sF1))) = join(composition(sF2,complement(converse(zero))),complement(converse(converse(sF1)))),
inference(superposition,[],[f419,f5372]) ).
fof(f5459,plain,
complement(sF1) = join(composition(sF2,complement(converse(zero))),complement(sF1)),
inference(forward_demodulation,[],[f5458,f25]) ).
fof(f5475,plain,
sF2 = join(composition(sF2,complement(converse(zero))),sF2),
inference(forward_demodulation,[],[f5459,f36]) ).
fof(f5482,plain,
sF2 = join(composition(sF2,complement(zero)),sF2),
inference(forward_demodulation,[],[f5475,f3736]) ).
fof(f5488,plain,
sF2 = join(composition(sF2,top),sF2),
inference(forward_demodulation,[],[f5482,f1041]) ).
fof(f5492,plain,
sF2 = composition(sF2,top),
inference(forward_demodulation,[],[f5488,f2591]) ).
fof(f5494,plain,
sF2 = sF3,
inference(forward_demodulation,[],[f5492,f38]) ).
fof(f5495,plain,
$false,
inference(forward_subsumption_resolution,[],[f5494,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL050+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:52:51 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 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
% 13.97/3.11 % (3049751)Detected formulas, will run a generic FOF schedule.
% 13.97/3.11 % (3049767)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1869272841:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.97/3.11 % (3049767)Refutation not found, incomplete strategy
% 13.97/3.11 % (3049767)------------------------------
% 13.97/3.11 % (3049767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049767)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049767)Termination reason: Refutation not found, incomplete strategy
% 13.97/3.11 % (3049767)Time elapsed: 0.001 s
% 13.97/3.11 % (3049767)Peak memory usage: 88 MB
% 13.97/3.11 % (3049770)dis-21_1_sil=8000:lcm=predicate:random_seed=2885688282: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)
% 13.97/3.11 % (3049770)Refutation not found, incomplete strategy
% 13.97/3.11 % (3049770)------------------------------
% 13.97/3.11 % (3049770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049770)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049770)Termination reason: Refutation not found, incomplete strategy
% 13.97/3.11 % (3049770)Time elapsed: 0.006 s
% 13.97/3.11 % (3049770)Peak memory usage: 88 MB
% 13.97/3.11 % (3049770)Instructions burned: 1 (million)
% 13.97/3.11 % (3049768)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2701568957:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.97/3.11 % (3049769)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1856478857:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.97/3.11 % (3049765)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=762695742:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.97/3.11 % (3049764)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=1944287618:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.97/3.11 % (3049766)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=104460006:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.97/3.11 % (3049768)Instruction limit reached!
% 13.97/3.11 % (3049768)------------------------------
% 13.97/3.11 % (3049768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049768)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049768)Termination reason: Instruction limit
% 13.97/3.11 % (3049768)Termination phase: Saturation
% 13.97/3.11 % (3049768)Time elapsed: 0.105 s
% 13.97/3.11 % (3049768)Peak memory usage: 88 MB
% 13.97/3.11 % (3049768)Instructions burned: 119 (million)
% 13.97/3.11 % (3049767)------------------------------
% 13.97/3.11 % (3049767)------------------------------
% 13.97/3.11 % (3049769)Instruction limit reached!
% 13.97/3.11 % (3049769)------------------------------
% 13.97/3.11 % (3049769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049769)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049769)Termination reason: Instruction limit
% 13.97/3.11 % (3049769)Termination phase: Saturation
% 13.97/3.11 % (3049769)Time elapsed: 0.134 s
% 13.97/3.11 % (3049769)Peak memory usage: 90 MB
% 13.97/3.11 % (3049769)Instructions burned: 139 (million)
% 13.97/3.11 % (3049782)lrs+10_1_sil=8000:sp=occurrence:random_seed=916950643:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.97/3.11 % (3049783)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3657618041:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 13.97/3.11 % (3049785)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3300865448:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 13.97/3.11 % (3049783)Instruction limit reached!
% 13.97/3.11 % (3049783)------------------------------
% 13.97/3.11 % (3049783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049783)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049783)Termination reason: Instruction limit
% 13.97/3.11 % (3049783)Termination phase: Saturation
% 13.97/3.11 % (3049783)Time elapsed: 0.084 s
% 13.97/3.11 % (3049783)Peak memory usage: 90 MB
% 13.97/3.11 % (3049783)Instructions burned: 158 (million)
% 13.97/3.11 % (3049770)------------------------------
% 13.97/3.11 % (3049770)------------------------------
% 13.97/3.11 % (3049792)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=2804877106:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 13.97/3.11 % (3049782)Instruction limit reached!
% 13.97/3.11 % (3049782)------------------------------
% 13.97/3.11 % (3049782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049782)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049782)Termination reason: Instruction limit
% 13.97/3.11 % (3049782)Termination phase: Saturation
% 13.97/3.11 % (3049782)Time elapsed: 0.286 s
% 13.97/3.11 % (3049782)Peak memory usage: 91 MB
% 13.97/3.11 % (3049782)Instructions burned: 285 (million)
% 13.97/3.11 % (3049793)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3307527317:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 13.97/3.11 % (3049792)Instruction limit reached!
% 13.97/3.11 % (3049792)------------------------------
% 13.97/3.11 % (3049792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049792)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049792)Termination reason: Instruction limit
% 13.97/3.11 % (3049792)Termination phase: Saturation
% 13.97/3.11 % (3049792)Time elapsed: 0.130 s
% 13.97/3.11 % (3049792)Peak memory usage: 92 MB
% 13.97/3.11 % (3049792)Instructions burned: 249 (million)
% 13.97/3.11 % (3049785)Instruction limit reached!
% 13.97/3.11 % (3049785)------------------------------
% 13.97/3.11 % (3049785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049785)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049785)Termination reason: Instruction limit
% 13.97/3.11 % (3049785)Termination phase: Saturation
% 13.97/3.11 % (3049785)Time elapsed: 0.321 s
% 13.97/3.11 % (3049785)Peak memory usage: 91 MB
% 13.97/3.11 % (3049785)Instructions burned: 325 (million)
% 13.97/3.11 % (3049795)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4251455311:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 13.97/3.11 % (3049797)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4238917135:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 13.97/3.11 % (3049797)Refutation not found, incomplete strategy
% 13.97/3.11 % (3049797)------------------------------
% 13.97/3.11 % (3049797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049797)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049797)Termination reason: Refutation not found, incomplete strategy
% 13.97/3.11 % (3049797)Time elapsed: 0.002 s
% 13.97/3.11 % (3049797)Peak memory usage: 88 MB
% 13.97/3.11 % (3049798)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3387335827:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 13.97/3.11 % (3049798)Refutation not found, incomplete strategy
% 13.97/3.11 % (3049798)------------------------------
% 13.97/3.11 % (3049798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049798)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049798)Termination reason: Refutation not found, incomplete strategy
% 13.97/3.11 % (3049798)Time elapsed: 0.002 s
% 13.97/3.11 % (3049798)Peak memory usage: 87 MB
% 13.97/3.11 % (3049766)Refutation not found, incomplete strategy
% 13.97/3.11 % (3049766)------------------------------
% 13.97/3.11 % (3049766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049766)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049766)Termination reason: Refutation not found, incomplete strategy
% 13.97/3.11 % (3049766)Time elapsed: 0.925 s
% 13.97/3.11 % (3049766)Peak memory usage: 128 MB
% 13.97/3.11 % (3049766)Instructions burned: 888 (million)
% 13.97/3.11 % (3049793)Instruction limit reached!
% 13.97/3.11 % (3049793)------------------------------
% 13.97/3.11 % (3049793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049793)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049793)Termination reason: Instruction limit
% 13.97/3.11 % (3049793)Termination phase: Saturation
% 13.97/3.11 % (3049793)Time elapsed: 0.304 s
% 13.97/3.11 % (3049793)Peak memory usage: 92 MB
% 13.97/3.11 % (3049793)Instructions burned: 294 (million)
% 13.97/3.11 % (3049804)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3963416751:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 13.97/3.11 % (3049804)Instruction limit reached!
% 13.97/3.11 % (3049804)------------------------------
% 13.97/3.11 % (3049804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049804)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049804)Termination reason: Instruction limit
% 13.97/3.11 % (3049804)Termination phase: Saturation
% 13.97/3.11 % (3049804)Time elapsed: 0.077 s
% 13.97/3.11 % (3049804)Peak memory usage: 89 MB
% 13.97/3.11 % (3049804)Instructions burned: 114 (million)
% 13.97/3.11 % (3049797)------------------------------
% 13.97/3.11 % (3049797)------------------------------
% 13.97/3.11 % (3049798)------------------------------
% 13.97/3.11 % (3049798)------------------------------
% 13.97/3.11 % (3049766)------------------------------
% 13.97/3.11 % (3049766)------------------------------
% 13.97/3.11 % (3049808)lrs+10_1_sil=8000:sp=occurrence:random_seed=2367448794:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 13.97/3.11 % (3049809)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4199393929:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 13.97/3.11 % (3049809)Refutation not found, incomplete strategy
% 13.97/3.11 % (3049809)------------------------------
% 13.97/3.11 % (3049809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049809)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049809)Termination reason: Refutation not found, incomplete strategy
% 13.97/3.11 % (3049809)Time elapsed: 0.002 s
% 13.97/3.11 % (3049809)Peak memory usage: 88 MB
% 13.97/3.11 % (3049810)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2437165162:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 13.97/3.11 % (3049811)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4015820597:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 13.97/3.11 % (3049811)Refutation not found, incomplete strategy
% 13.97/3.11 % (3049811)------------------------------
% 13.97/3.11 % (3049811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/3.11 % (3049811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/3.11 % (3049811)CaDiCaL version: 2.1.3
% 13.97/3.11 % (3049811)Termination reason: Refutation not found, incomplete strategy
% 13.97/3.11 % (3049811)Time elapsed: 0.002 s
% 13.97/3.11 % (3049811)Peak memory usage: 89 MB
% 13.97/3.11 % (3049764)First to succeed.
% 13.97/3.11 % (3049764)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3049751"
% 13.97/3.11 % (3049809)------------------------------
% 13.97/3.11 % (3049809)------------------------------
% 13.97/3.11 % (3049811)------------------------------
% 13.97/3.11 % (3049811)------------------------------
% 13.97/3.11 % (3049816)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2892286616:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 13.97/3.11 % (3049764)Refutation found. Thanks to Tanya!
% 13.97/3.11 % SZS status Theorem for theBenchmark
% 13.97/3.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/3.31 % (3049764)------------------------------
% 0.20/3.31 % (3049764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/3.31 % (3049764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/3.31 % (3049764)CaDiCaL version: 2.1.3
% 0.20/3.31 % (3049764)Termination reason: Refutation
% 0.20/3.31 % (3049764)Time elapsed: 1.575 s
% 0.20/3.31 % (3049764)Peak memory usage: 134 MB
% 0.20/3.31 % (3049764)Instructions burned: 1552 (million)
% 0.20/3.31 % (3049764)------------------------------
% 0.20/3.31 % (3049764)------------------------------
% 0.20/3.31 % (3049751)Success in time 2.251 s
% 0.20/3.31 % Vampire exiting
%------------------------------------------------------------------------------