%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL001+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 12:34:10 PM UTC 2026
% Result : Theorem 1.33s 0.65s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 11
% Syntax : Number of formulae : 74 ( 74 unt; 0 def)
% Number of atoms : 74 ( 73 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 : 5 ( 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 : 81 ( 80 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(f14,conjecture,
! [X0] : join(zero,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] : join(zero,X0) = X0,
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] : join(zero,X0) != X0,
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
sK0 != join(zero,sK0),
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(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
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,
sK0 != join(zero,sK0),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f33,plain,
zero = complement(top),
inference(backward_demodulation,[],[f32,f29]) ).
fof(f34,plain,
top = join(top,zero),
inference(superposition,[],[f29,f33]) ).
fof(f42,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f43,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f19,f29]) ).
fof(f48,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[],[f19,f34]) ).
fof(f52,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f29,f19]) ).
fof(f123,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),top))) = X0,
inference(superposition,[],[f20,f33]) ).
fof(f125,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f20,f29]) ).
fof(f146,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f125,f33]) ).
fof(f148,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f123,f18]) ).
fof(f152,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f148,f18]) ).
fof(f153,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f152,f18]) ).
fof(f154,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f153,f18]) ).
fof(f155,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f154,f18]) ).
fof(f390,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f42,f23]) ).
fof(f414,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f390,f25]) ).
fof(f428,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f43,f18]) ).
fof(f451,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f28,f414]) ).
fof(f458,plain,
one = converse(one),
inference(superposition,[],[f23,f414]) ).
fof(f461,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f414,f458]) ).
fof(f466,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f451,f18]) ).
fof(f471,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f466,f461]) ).
fof(f473,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(backward_demodulation,[],[f146,f471]) ).
fof(f475,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(superposition,[],[f48,f473]) ).
fof(f642,plain,
zero = join(zero,zero),
inference(superposition,[],[f471,f33]) ).
fof(f648,plain,
! [X0] : top = join(complement(X0),join(complement(X0),complement(complement(X0)))),
inference(superposition,[],[f52,f471]) ).
fof(f649,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f648,f428]) ).
fof(f654,plain,
! [X0] : join(complement(top),complement(join(zero,complement(X0)))) = X0,
inference(backward_demodulation,[],[f155,f649]) ).
fof(f655,plain,
! [X0] : top = join(top,X0),
inference(backward_demodulation,[],[f475,f649]) ).
fof(f682,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f654,f33]) ).
fof(f757,plain,
top = join(zero,complement(join(zero,zero))),
inference(superposition,[],[f682,f33]) ).
fof(f758,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(superposition,[],[f682,f473]) ).
fof(f774,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f473,f758]) ).
fof(f775,plain,
top = complement(join(zero,zero)),
inference(forward_demodulation,[],[f757,f758]) ).
fof(f785,plain,
top = complement(zero),
inference(forward_demodulation,[],[f775,f642]) ).
fof(f791,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[],[f20,f785]) ).
fof(f797,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f791,f18]) ).
fof(f799,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f797,f18]) ).
fof(f801,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f799,f18]) ).
fof(f803,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f801,f18]) ).
fof(f805,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f803,f758]) ).
fof(f807,plain,
! [X0] : join(complement(complement(X0)),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f805,f18]) ).
fof(f808,plain,
! [X0] : join(complement(complement(X0)),complement(top)) = X0,
inference(forward_demodulation,[],[f807,f655]) ).
fof(f809,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f808,f18]) ).
fof(f810,plain,
! [X0] : join(complement(top),X0) = X0,
inference(forward_demodulation,[],[f809,f774]) ).
fof(f811,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f810,f33]) ).
fof(f815,plain,
sK0 != sK0,
inference(backward_demodulation,[],[f31,f811]) ).
fof(f816,plain,
$false,
inference(trivial_inequality_removal,[],[f815]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL001+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:52:24 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44 Running first-order model finding
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.33/0.65 % (2815531)Will run a generic schedule for satisfiability detection.
% 1.33/0.65 % (2815536)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1533604084_2999 on theBenchmark for (2999ds/0Mi)
% 1.33/0.65 % TRYING [1]
% 1.33/0.65 % TRYING [2]
% 1.33/0.65 % TRYING [3]
% 1.33/0.65 % (2815537)% WARNING: option uhcvi not known.
% 1.33/0.65 % TRYING [4]
% 1.33/0.65 % (2815538)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3724049806:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.33/0.65 % (2815540)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=493721515:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.33/0.65 % (2815541)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=130938696:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.33/0.65 % (2815537)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4096072056:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.33/0.65 % (2815539)dis+10_1_sil=32000:sp=arity:random_seed=2002573328:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.33/0.65 % (2815542)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2366288724:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.33/0.65 % TRYING [5]
% 1.33/0.65 % (2815539)Instruction limit reached!
% 1.33/0.65 % (2815539)------------------------------
% 1.33/0.65 % (2815539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.65 % (2815539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.65 % (2815539)CaDiCaL version: 2.1.3
% 1.33/0.65 % (2815539)Termination reason: Instruction limit
% 1.33/0.65 % (2815539)Termination phase: Saturation
% 1.33/0.65 % (2815539)Time elapsed: 0.097 s
% 1.33/0.65 % (2815539)Peak memory usage: 12 MB
% 1.33/0.65 % (2815539)Instructions burned: 103 (million)
% 1.33/0.65 % (2815540)Instruction limit reached!
% 1.33/0.65 % (2815540)------------------------------
% 1.33/0.65 % (2815540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.65 % (2815540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.65 % (2815540)CaDiCaL version: 2.1.3
% 1.33/0.65 % (2815540)Termination reason: Instruction limit
% 1.33/0.65 % (2815540)Termination phase: Saturation
% 1.33/0.65 % (2815540)Time elapsed: 0.112 s
% 1.33/0.65 % (2815540)Peak memory usage: 12 MB
% 1.33/0.65 % (2815540)Instructions burned: 116 (million)
% 1.33/0.65 % (2815541)Instruction limit reached!
% 1.33/0.65 % (2815541)------------------------------
% 1.33/0.65 % (2815541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.65 % (2815541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.65 % (2815541)CaDiCaL version: 2.1.3
% 1.33/0.65 % (2815541)Termination reason: Instruction limit
% 1.33/0.65 % (2815541)Termination phase: Saturation
% 1.33/0.65 % (2815541)Time elapsed: 0.118 s
% 1.33/0.65 % (2815541)Peak memory usage: 12 MB
% 1.33/0.65 % (2815541)Instructions burned: 132 (million)
% 1.33/0.65 % (2815550)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=448631545:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.33/0.65 % TRYING [1]
% 1.33/0.65 % TRYING [2]
% 1.33/0.65 % TRYING [3]
% 1.33/0.65 % (2815551)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2277535083:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.33/0.65 % TRYING [4]
% 1.33/0.65 % (2815542)Instruction limit reached!
% 1.33/0.65 % (2815542)------------------------------
% 1.33/0.65 % (2815542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.65 % (2815542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.65 % (2815542)CaDiCaL version: 2.1.3
% 1.33/0.65 % (2815542)Termination reason: Instruction limit
% 1.33/0.65 % (2815542)Termination phase: Saturation
% 1.33/0.65 % (2815542)Time elapsed: 0.134 s
% 1.33/0.65 % (2815542)Peak memory usage: 13 MB
% 1.33/0.65 % (2815542)Instructions burned: 159 (million)
% 1.33/0.65 % (2815552)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1947179201:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.33/0.65 % (2815555)ott-21_1_sil=16000:fs=off:random_seed=1364040603:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.33/0.65 % (2815551) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2815531-2815551"...
% 1.33/0.65 % (2815551)...printing done.
% 1.33/0.65 % (2815551)Refutation found. Thanks to Tanya!
% 1.33/0.65 % SZS status Theorem for theBenchmark
% 1.33/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.65 % (2815551)------------------------------
% 1.33/0.65 % (2815551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.65 % (2815551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.65 % (2815551)CaDiCaL version: 2.1.3
% 1.33/0.65 % (2815551)Termination reason: Refutation
% 1.33/0.65 % (2815551)Time elapsed: 0.030 s
% 1.33/0.65 % (2815551)Peak memory usage: 12 MB
% 1.33/0.65 % (2815551)Instructions burned: 44 (million)
% 1.33/0.65 % (2815531)Success in time 0.201 s
% 1.33/0.65 % Vampire exiting
%------------------------------------------------------------------------------