%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL024+2 : 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 : 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 12:33:50 PM UTC 2026
% Result : Theorem 9.19s 2.37s
% Output : Refutation 10.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 52 ( 52 unt; 0 def)
% Number of atoms : 52 ( 51 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 95 ( 92 !; 3 ?)
% 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(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(f17,conjecture,
! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)) = composition(meet(X0,converse(X1)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)) = composition(meet(X0,converse(X1)),X2),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] : composition(meet(X0,converse(X1)),X2) != join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
composition(meet(sK0,converse(sK1)),sK2) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(meet(sK0,converse(sK1)),sK2)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).
fof(f21,plain,
composition(meet(sK0,converse(sK1)),sK2) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(meet(sK0,converse(sK1)),sK2)),
inference(cnf_transformation,[],[f20]) ).
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(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f32,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f34,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f37,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f38,plain,
composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2) != join(composition(complement(join(complement(sK0),complement(converse(sK1)))),complement(join(complement(sK1),complement(sK2)))),composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2)),
inference(definition_unfolding,[],[f21,f28,f28,f28,f28]) ).
fof(f44,plain,
composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2) != join(composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),composition(complement(join(complement(sK0),complement(converse(sK1)))),complement(join(complement(sK1),complement(sK2))))),
inference(forward_demodulation,[],[f38,f23]) ).
fof(f45,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f35]) ).
fof(f78,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f23,f37]) ).
fof(f93,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f31,f30]) ).
fof(f99,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f45,f32]) ).
fof(f104,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f99,f35]) ).
fof(f133,plain,
one = converse(one),
inference(superposition,[],[f32,f104]) ).
fof(f137,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f104,f133]) ).
fof(f154,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f29,f104]) ).
fof(f161,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f154,f23]) ).
fof(f168,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f161,f137]) ).
fof(f218,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f22,f37]) ).
fof(f228,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f23,f22]) ).
fof(f230,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f218,f228]) ).
fof(f252,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f230,f168]) ).
fof(f260,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f252,f78]) ).
fof(f295,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f260,f23]) ).
fof(f5902,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f93,f30]) ).
fof(f5926,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f5902,f34]) ).
fof(f5943,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f5926,f34]) ).
fof(f5953,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f5943,f30]) ).
fof(f5981,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f35,f5953]) ).
fof(f5996,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f5981,f35]) ).
fof(f6053,plain,
composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2) != composition(complement(join(complement(sK0),complement(converse(sK1)))),join(sK2,complement(join(complement(sK1),complement(sK2))))),
inference(superposition,[],[f44,f5996]) ).
fof(f6072,plain,
composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2) != composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),
inference(forward_demodulation,[],[f6053,f295]) ).
fof(f6073,plain,
$false,
inference(trivial_inequality_removal,[],[f6072]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL024+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n011.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 27 22:52:30 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.19/2.37 % (2850973)Detected formulas, will run a generic FOF schedule.
% 9.19/2.37 % (2851019)dis-21_1_sil=8000:lcm=predicate:random_seed=880066669: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)
% 9.19/2.37 % (2851016)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3066878858:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.19/2.37 % (2851017)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2183971643:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.19/2.37 % (2851014)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=2491922416:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.19/2.37 % (2851019)Refutation not found, incomplete strategy
% 9.19/2.37 % (2851019)------------------------------
% 9.19/2.37 % (2851019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851019)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851019)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.37 % (2851019)Time elapsed: 0.002 s
% 9.19/2.37 % (2851019)Peak memory usage: 88 MB
% 9.19/2.37 % (2851019)Instructions burned: 1 (million)
% 9.19/2.37 % (2851016)Refutation not found, incomplete strategy
% 9.19/2.37 % (2851016)------------------------------
% 9.19/2.37 % (2851016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851016)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851016)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.37 % (2851016)Time elapsed: 0.001 s
% 9.19/2.37 % (2851016)Peak memory usage: 88 MB
% 9.19/2.37 % (2851016)Instructions burned: 1 (million)
% 9.19/2.37 % (2851015)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=3778490395:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.19/2.37 % (2851013)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=1733699495:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.19/2.37 % (2851018)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2682356939:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.19/2.37 % (2851017)Instruction limit reached!
% 9.19/2.37 % (2851017)------------------------------
% 9.19/2.37 % (2851017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851017)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851017)Termination reason: Instruction limit
% 9.19/2.37 % (2851017)Termination phase: Saturation
% 9.19/2.37 % (2851017)Time elapsed: 0.064 s
% 9.19/2.37 % (2851017)Peak memory usage: 88 MB
% 9.19/2.37 % (2851017)Instructions burned: 120 (million)
% 9.19/2.37 % (2851018)Instruction limit reached!
% 9.19/2.37 % (2851018)------------------------------
% 9.19/2.37 % (2851018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851018)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851018)Termination reason: Instruction limit
% 9.19/2.37 % (2851018)Termination phase: Saturation
% 9.19/2.37 % (2851018)Time elapsed: 0.082 s
% 9.19/2.37 % (2851018)Peak memory usage: 90 MB
% 9.19/2.37 % (2851018)Instructions burned: 139 (million)
% 9.19/2.37 % (2851019)------------------------------
% 9.19/2.37 % (2851019)------------------------------
% 9.19/2.37 % (2851027)lrs+10_1_sil=8000:sp=occurrence:random_seed=1715050092:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.19/2.37 % (2851016)------------------------------
% 9.19/2.37 % (2851016)------------------------------
% 9.19/2.37 % (2851028)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3895247325:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.19/2.37 % (2851028)Instruction limit reached!
% 9.19/2.37 % (2851028)------------------------------
% 9.19/2.37 % (2851028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851028)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851028)Termination reason: Instruction limit
% 9.19/2.37 % (2851028)Termination phase: Saturation
% 9.19/2.37 % (2851028)Time elapsed: 0.091 s
% 9.19/2.37 % (2851028)Peak memory usage: 90 MB
% 9.19/2.37 % (2851028)Instructions burned: 158 (million)
% 9.19/2.37 % (2851030)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1006926358:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.19/2.37 % (2851031)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=318699950:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.19/2.37 % (2851027)Instruction limit reached!
% 9.19/2.37 % (2851027)------------------------------
% 9.19/2.37 % (2851027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851027)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851027)Termination reason: Instruction limit
% 9.19/2.37 % (2851027)Termination phase: Saturation
% 9.19/2.37 % (2851027)Time elapsed: 0.170 s
% 9.19/2.37 % (2851027)Peak memory usage: 91 MB
% 9.19/2.37 % (2851027)Instructions burned: 286 (million)
% 9.19/2.37 % (2851030)Instruction limit reached!
% 9.19/2.37 % (2851030)------------------------------
% 9.19/2.37 % (2851030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851030)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851030)Termination reason: Instruction limit
% 9.19/2.37 % (2851030)Termination phase: Saturation
% 9.19/2.37 % (2851030)Time elapsed: 0.103 s
% 9.19/2.37 % (2851030)Peak memory usage: 92 MB
% 9.19/2.37 % (2851030)Instructions burned: 328 (million)
% 9.19/2.37 % (2851033)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=608701291:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 9.19/2.37 % (2851033)Refutation not found, incomplete strategy
% 9.19/2.37 % (2851033)------------------------------
% 9.19/2.37 % (2851033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851033)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851033)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.37 % (2851033)Time elapsed: 0.002 s
% 9.19/2.37 % (2851033)Peak memory usage: 88 MB
% 9.19/2.37 % (2851033)Instructions burned: 2 (million)
% 9.19/2.37 % (2851031)Instruction limit reached!
% 9.19/2.37 % (2851031)------------------------------
% 9.19/2.37 % (2851031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851031)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851031)Termination reason: Instruction limit
% 9.19/2.37 % (2851031)Termination phase: Saturation
% 9.19/2.37 % (2851031)Time elapsed: 0.159 s
% 9.19/2.37 % (2851031)Peak memory usage: 92 MB
% 9.19/2.37 % (2851031)Instructions burned: 249 (million)
% 9.19/2.37 % (2851038)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=530383118:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.19/2.37 % (2851015)Refutation not found, incomplete strategy
% 9.19/2.37 % (2851015)------------------------------
% 9.19/2.37 % (2851015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851015)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851015)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.37 % (2851015)Time elapsed: 0.612 s
% 9.19/2.37 % (2851015)Peak memory usage: 128 MB
% 9.19/2.37 % (2851015)Instructions burned: 896 (million)
% 9.19/2.37 % (2851039)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4094228253:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 9.19/2.37 % (2851039)Refutation not found, incomplete strategy
% 9.19/2.37 % (2851039)------------------------------
% 9.19/2.37 % (2851039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851039)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851039)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.37 % (2851039)Time elapsed: 0.001 s
% 9.19/2.37 % (2851039)Peak memory usage: 88 MB
% 9.19/2.37 % (2851039)Instructions burned: 1 (million)
% 9.19/2.37 % (2851041)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2555363083:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 9.19/2.37 % (2851041)Refutation not found, incomplete strategy
% 9.19/2.37 % (2851041)------------------------------
% 9.19/2.37 % (2851041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851041)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851041)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.37 % (2851041)Time elapsed: 0.001 s
% 9.19/2.37 % (2851041)Peak memory usage: 87 MB
% 9.19/2.37 % (2851041)Instructions burned: 1 (million)
% 9.19/2.37 % (2851033)------------------------------
% 9.19/2.37 % (2851033)------------------------------
% 9.19/2.37 % (2851039)------------------------------
% 9.19/2.37 % (2851039)------------------------------
% 9.19/2.37 % (2851015)------------------------------
% 9.19/2.37 % (2851015)------------------------------
% 9.19/2.37 % (2851046)lrs+10_1_sil=8000:sp=occurrence:random_seed=447524445:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 9.19/2.37 % (2851045)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1450840424:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 9.19/2.37 % (2851014)First to succeed.
% 9.19/2.37 % (2851014)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2850973"
% 9.19/2.37 % (2851041)------------------------------
% 9.19/2.37 % (2851041)------------------------------
% 9.19/2.37 % (2851045)Instruction limit reached!
% 9.19/2.37 % (2851045)------------------------------
% 9.19/2.37 % (2851045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851045)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851045)Termination reason: Instruction limit
% 9.19/2.37 % (2851045)Termination phase: Saturation
% 9.19/2.37 % (2851045)Time elapsed: 0.065 s
% 9.19/2.37 % (2851045)Peak memory usage: 89 MB
% 9.19/2.37 % (2851045)Instructions burned: 115 (million)
% 9.19/2.37 % (2851047)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1349558023:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 9.19/2.37 % (2851047)Refutation not found, incomplete strategy
% 9.19/2.37 % (2851047)------------------------------
% 9.19/2.37 % (2851047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851047)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851047)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.37 % (2851047)Time elapsed: 0.002 s
% 9.19/2.37 % (2851047)Peak memory usage: 88 MB
% 9.19/2.37 % (2851047)Instructions burned: 1 (million)
% 9.19/2.37 % (2851013)Also succeeded, but the first one will report.
% 9.19/2.37 % (2851050)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3246577992:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 9.19/2.37 % (2851051)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1070458559:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 9.19/2.37 % (2851051)Refutation not found, incomplete strategy
% 9.19/2.37 % (2851051)------------------------------
% 9.19/2.37 % (2851051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.37 % (2851051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.37 % (2851051)CaDiCaL version: 2.1.3
% 9.19/2.37 % (2851051)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.37 % (2851051)Time elapsed: 0.002 s
% 9.19/2.37 % (2851051)Peak memory usage: 88 MB
% 9.19/2.37 % (2851051)Instructions burned: 1 (million)
% 9.19/2.37 % (2851014)Refutation found. Thanks to Tanya!
% 9.19/2.37 % SZS status Theorem for theBenchmark
% 9.19/2.37 % SZS output start Proof for theBenchmark
% See solution above
% 10.28/2.56 % (2851014)------------------------------
% 10.28/2.56 % (2851014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.28/2.56 % (2851014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.28/2.56 % (2851014)CaDiCaL version: 2.1.3
% 10.28/2.56 % (2851014)Termination reason: Refutation
% 10.28/2.56 % (2851014)Time elapsed: 0.916 s
% 10.28/2.56 % (2851014)Peak memory usage: 132 MB
% 10.28/2.56 % (2851014)Instructions burned: 1307 (million)
% 10.28/2.56 % (2851014)------------------------------
% 10.28/2.56 % (2851014)------------------------------
% 10.28/2.56 % (2850973)Success in time 1.366 s
% 10.28/2.56 % Vampire exiting
%------------------------------------------------------------------------------