%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL012-1 : 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 : n016.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 12:33:42 PM UTC 2026
% Result : Unsatisfiable 13.63s 22.96s
% Output : Refutation 15.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 18
% Syntax : Number of formulae : 119 ( 119 unt; 6 def)
% Number of atoms : 119 ( 118 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 135 ( 135 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
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_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f8,negated_conjecture,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,negated_conjecture,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
join(composition(complement(composition(sk1,sk2)),converse(sk2)),complement(sk1)) != complement(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
complement(sk1) != join(composition(complement(composition(sk1,sk2)),converse(sk2)),complement(sk1)),
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f20,definition,
sF0 = complement(sk1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f21,plain,
complement(sk1) = sF0,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF1 = composition(sk1,sk2),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f23,plain,
composition(sk1,sk2) = sF1,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f25,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF3 = converse(sk2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f27,plain,
converse(sk2) = sF3,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF4 = composition(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f29,plain,
composition(sF2,sF3) = sF4,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF5 = join(sF4,sF0),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f31,plain,
join(sF4,sF0) = sF5,
inference(reorient_equations,[],[f30]) ).
fof(f32,plain,
sF0 != sF5,
inference(definition_folding,[],[f18,f31,f21,f29,f27,f25,f23,f21]) ).
fof(f33,plain,
zero = complement(top),
inference(backward_demodulation,[],[f19,f15]) ).
fof(f34,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f14,f1]) ).
fof(f35,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f4,f1]) ).
fof(f57,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f35,f15]) ).
fof(f58,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f57,f33]) ).
fof(f72,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f35,f1]) ).
fof(f76,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f92,plain,
! [X0] : converse(composition(X0,sk2)) = composition(sF3,converse(X0)),
inference(superposition,[],[f12,f27]) ).
fof(f95,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f124,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f72,f15]) ).
fof(f130,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f124,f1]) ).
fof(f144,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f152,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f144,f33]) ).
fof(f157,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f58,f152]) ).
fof(f160,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[],[f152,f157]) ).
fof(f174,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f35,f157]) ).
fof(f177,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f72,f157]) ).
fof(f189,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f174,f1]) ).
fof(f203,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(join(complement(join(X0,X1)),join(X0,complement(X1)))),complement(complement(X0))),
inference(superposition,[],[f174,f174]) ).
fof(f206,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(X0,complement(X1))))),
inference(forward_demodulation,[],[f203,f1]) ).
fof(f217,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(join(X0,complement(X1)),complement(join(X0,X1))))),
inference(forward_demodulation,[],[f206,f1]) ).
fof(f223,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f217,f2]) ).
fof(f226,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f223,f157]) ).
fof(f228,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f226,f157]) ).
fof(f232,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f177,f1]) ).
fof(f304,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f323,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f362,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f95,f8]) ).
fof(f372,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f362,f10]) ).
fof(f380,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f34,f372]) ).
fof(f387,plain,
one = converse(one),
inference(superposition,[],[f8,f372]) ).
fof(f388,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f372,f387]) ).
fof(f393,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f380,f388]) ).
fof(f403,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f393,f157]) ).
fof(f414,plain,
! [X0] : complement(complement(X0)) = join(zero,complement(complement(X0))),
inference(superposition,[],[f160,f393]) ).
fof(f415,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f414,f157]) ).
fof(f460,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1,f415]) ).
fof(f477,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f403]) ).
fof(f667,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f76,f15]) ).
fof(f724,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(join(complement(join(X0,complement(X1))),join(X1,X0))),complement(complement(X0))),
inference(superposition,[],[f177,f189]) ).
fof(f732,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X1,X0)))),
inference(forward_demodulation,[],[f724,f1]) ).
fof(f759,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X1,X0),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f732,f1]) ).
fof(f781,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f759,f2]) ).
fof(f797,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f781,f157]) ).
fof(f810,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f797,f157]) ).
fof(f961,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f323,f403]) ).
fof(f1190,plain,
! [X0,X1] : join(top,complement(join(X0,complement(X1)))) = join(join(X1,X0),complement(X0)),
inference(superposition,[],[f304,f189]) ).
fof(f1192,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f304,f403]) ).
fof(f1234,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1192,f15]) ).
fof(f1236,plain,
! [X0,X1] : join(top,complement(join(X0,complement(X1)))) = join(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f1190,f1]) ).
fof(f1256,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1236,f323]) ).
fof(f1268,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f1256,f1234]) ).
fof(f1274,plain,
! [X1] : top = join(top,X1),
inference(backward_demodulation,[],[f304,f1268]) ).
fof(f1388,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f477,f189]) ).
fof(f1431,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1388,f1]) ).
fof(f1441,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(backward_demodulation,[],[f228,f1431]) ).
fof(f1446,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,X1)))),
inference(backward_demodulation,[],[f810,f1441]) ).
fof(f1449,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1446,f961]) ).
fof(f4893,plain,
converse(sF1) = composition(sF3,converse(sk1)),
inference(superposition,[],[f92,f23]) ).
fof(f4972,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(converse(top))),
inference(superposition,[],[f1449,f667]) ).
fof(f4983,plain,
top = converse(top),
inference(superposition,[],[f1274,f667]) ).
fof(f5015,plain,
! [X0] : join(X0,complement(top)) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f4972,f4983]) ).
fof(f5058,plain,
! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f5015,f33]) ).
fof(f5079,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f5058,f460]) ).
fof(f5136,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(join(X0,complement(converse(complement(converse(complement(X0))))))),complement(complement(X0))),
inference(superposition,[],[f232,f5079]) ).
fof(f5140,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f76,f5079]) ).
fof(f5157,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f5140,f10]) ).
fof(f5161,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f5136,f1]) ).
fof(f5187,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f5161,f157]) ).
fof(f5197,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f5187,f1449]) ).
fof(f5200,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f5197,f157]) ).
fof(f5201,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f5200,f5157]) ).
fof(f5207,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f5201,f157]) ).
fof(f5351,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f10,f5207]) ).
fof(f5358,plain,
! [X0,X1] : join(complement(converse(X0)),converse(X1)) = converse(join(complement(X0),X1)),
inference(superposition,[],[f76,f5207]) ).
fof(f5361,plain,
! [X0,X1] : composition(converse(X1),complement(converse(X0))) = converse(composition(complement(X0),X1)),
inference(superposition,[],[f95,f5207]) ).
fof(f5453,plain,
complement(converse(sk1)) = converse(sF0),
inference(superposition,[],[f5351,f21]) ).
fof(f6101,plain,
complement(converse(sk1)) = join(complement(converse(sk1)),composition(converse(sF3),complement(converse(sF1)))),
inference(superposition,[],[f34,f4893]) ).
fof(f6111,plain,
complement(converse(sk1)) = join(complement(converse(sk1)),converse(composition(complement(sF1),sF3))),
inference(forward_demodulation,[],[f6101,f5361]) ).
fof(f6118,plain,
complement(converse(sk1)) = converse(join(complement(sk1),composition(complement(sF1),sF3))),
inference(forward_demodulation,[],[f6111,f5358]) ).
fof(f6123,plain,
complement(converse(sk1)) = converse(join(complement(sk1),composition(sF2,sF3))),
inference(forward_demodulation,[],[f6118,f25]) ).
fof(f6125,plain,
complement(converse(sk1)) = converse(join(complement(sk1),sF4)),
inference(forward_demodulation,[],[f6123,f29]) ).
fof(f6127,plain,
complement(converse(sk1)) = converse(join(sF4,complement(sk1))),
inference(forward_demodulation,[],[f6125,f1]) ).
fof(f6128,plain,
complement(converse(sk1)) = converse(join(sF4,sF0)),
inference(forward_demodulation,[],[f6127,f21]) ).
fof(f6129,plain,
complement(converse(sk1)) = converse(sF5),
inference(forward_demodulation,[],[f6128,f31]) ).
fof(f6130,plain,
converse(sF0) = converse(sF5),
inference(forward_demodulation,[],[f6129,f5453]) ).
fof(f6131,plain,
sF5 = converse(converse(sF0)),
inference(superposition,[],[f10,f6130]) ).
fof(f6152,plain,
sF0 = sF5,
inference(forward_demodulation,[],[f6131,f10]) ).
fof(f6155,plain,
$false,
inference(forward_subsumption_resolution,[],[f6152,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL012-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 % Computer : n016.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.13/20.47 % CPULimit : 300
% 0.13/20.47 % WCLimit : 300
% 0.13/20.47 % DateTime : Sun Sep 27 22:53:58 UTC 2026
% 0.13/20.48 % CPUTime :
% 0.13/20.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.38/20.51 Running first-order theorem proving
% 0.38/20.51 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
% 13.63/22.96 % (3975372)Detected a unit-equality problem, will run specialized UEQ schedule.
% 13.63/22.96 % (3975383)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3382559877:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 13.63/22.96 % (3975386)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=851218768:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 13.63/22.96 % (3975388)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1197603199:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 13.63/22.96 % (3975389)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=823095878:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 13.63/22.96 % (3975384)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=837197110:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 13.63/22.96 % (3975387)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3023968395:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 13.63/22.96 % (3975385)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1013456390:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 13.63/22.96 % (3975386)Instruction limit reached!
% 13.63/22.96 % (3975386)------------------------------
% 13.63/22.96 % (3975386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.63/22.96 % (3975386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.63/22.96 % (3975386)CaDiCaL version: 2.1.3
% 13.63/22.96 % (3975386)Termination reason: Instruction limit
% 13.63/22.96 % (3975386)Termination phase: Saturation
% 13.63/22.96 % (3975386)Time elapsed: 0.083 s
% 13.63/22.96 % (3975386)Peak memory usage: 88 MB
% 13.63/22.96 % (3975386)Instructions burned: 137 (million)
% 13.63/22.96 % (3975387)Instruction limit reached!
% 13.63/22.96 % (3975387)------------------------------
% 13.63/22.96 % (3975387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.63/22.96 % (3975387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.63/22.96 % (3975387)CaDiCaL version: 2.1.3
% 13.63/22.96 % (3975387)Termination reason: Instruction limit
% 13.63/22.96 % (3975387)Termination phase: Saturation
% 13.63/22.96 % (3975387)Time elapsed: 0.106 s
% 13.63/22.96 % (3975387)Peak memory usage: 89 MB
% 13.63/22.96 % (3975387)Instructions burned: 182 (million)
% 13.63/22.96 % (3975388)Instruction limit reached!
% 13.63/22.96 % (3975388)------------------------------
% 13.63/22.96 % (3975388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.63/22.96 % (3975388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.63/22.96 % (3975388)CaDiCaL version: 2.1.3
% 13.63/22.96 % (3975388)Termination reason: Instruction limit
% 13.63/22.96 % (3975388)Termination phase: Saturation
% 13.63/22.96 % (3975388)Time elapsed: 0.167 s
% 13.63/22.96 % (3975388)Peak memory usage: 90 MB
% 13.63/22.96 % (3975388)Instructions burned: 258 (million)
% 13.63/22.96 % (3975410)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1972475216:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 13.63/22.96 % (3975411)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2465874539:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 13.63/22.96 % (3975412)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2923090106:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 13.63/22.96 % (3975412)Instruction limit reached!
% 13.63/22.96 % (3975412)------------------------------
% 13.63/22.96 % (3975412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.63/22.96 % (3975412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.63/22.96 % (3975412)CaDiCaL version: 2.1.3
% 13.63/22.96 % (3975412)Termination reason: Instruction limit
% 13.63/22.96 % (3975412)Termination phase: Saturation
% 13.63/22.96 % (3975412)Time elapsed: 0.117 s
% 13.63/22.96 % (3975412)Peak memory usage: 90 MB
% 13.63/22.96 % (3975412)Instructions burned: 217 (million)
% 13.63/22.96 % (3975416)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2728430789:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 13.63/22.96 % (3975389)Instruction limit reached!
% 13.63/22.96 % (3975389)------------------------------
% 13.63/22.96 % (3975389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.63/22.96 % (3975389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.63/22.96 % (3975389)CaDiCaL version: 2.1.3
% 13.63/22.96 % (3975389)Termination reason: Instruction limit
% 13.63/22.96 % (3975389)Termination phase: Saturation
% 13.63/22.96 % (3975389)Time elapsed: 0.708 s
% 13.63/22.96 % (3975389)Peak memory usage: 98 MB
% 13.63/22.96 % (3975389)Instructions burned: 1188 (million)
% 13.63/22.96 % (3975416)Instruction limit reached!
% 13.63/22.96 % (3975416)------------------------------
% 13.63/22.96 % (3975416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.63/22.96 % (3975416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.63/22.96 % (3975416)CaDiCaL version: 2.1.3
% 13.63/22.96 % (3975416)Termination reason: Instruction limit
% 13.63/22.96 % (3975416)Termination phase: Saturation
% 13.63/22.96 % (3975416)Time elapsed: 0.328 s
% 13.63/22.96 % (3975416)Peak memory usage: 94 MB
% 13.63/22.96 % (3975416)Instructions burned: 318 (million)
% 13.63/22.96 % (3975427)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=3899669717:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 13.63/22.96 % (3975437)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1842468569:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2988 on theBenchmark for (2988ds/2836Mi)
% 13.63/22.96 % (3975385)First to succeed.
% 13.63/22.96 % (3975385)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3975372"
% 13.63/22.96 % (3975384)Also succeeded, but the first one will report.
% 13.63/22.96 % (3975383)Also succeeded, but the first one will report.
% 13.63/22.96 % (3975385)Refutation found. Thanks to Tanya!
% 13.63/22.96 % SZS status Unsatisfiable for theBenchmark
% 13.63/22.96 % SZS output start Proof for theBenchmark
% See solution above
% 15.02/23.22 % (3975385)------------------------------
% 15.02/23.22 % (3975385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.02/23.22 % (3975385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.02/23.22 % (3975385)CaDiCaL version: 2.1.3
% 15.02/23.22 % (3975385)Termination reason: Refutation
% 15.02/23.22 % (3975385)Time elapsed: 1.405 s
% 15.02/23.22 % (3975385)Peak memory usage: 135 MB
% 15.02/23.22 % (3975385)Instructions burned: 1664 (million)
% 15.02/23.22 % (3975385)------------------------------
% 15.02/23.22 % (3975385)------------------------------
% 15.02/23.22 % (3975372)Success in time 2 s
% 15.02/23.22 % Vampire exiting
%------------------------------------------------------------------------------