%------------------------------------------------------------------------------
% 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 : n007.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 : Unsatisfiable 0.84s 0.61s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 11
% Syntax : Number of formulae : 64 ( 64 unt; 0 def)
% Number of atoms : 64 ( 63 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 : 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 : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',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/Axioms/REL001-0.ax',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/Axioms/REL001-0.ax',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/Axioms/REL001-0.ax',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,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',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/Axioms/REL001-0.ax',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,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
fof(f17,negated_conjecture,
join(zero,sk1) != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
sk1 != join(zero,sk1),
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f20,plain,
zero = complement(top),
inference(backward_demodulation,[],[f19,f15]) ).
fof(f21,plain,
top = join(top,zero),
inference(superposition,[],[f15,f20]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f30,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f35,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[],[f2,f21]) ).
fof(f39,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f15,f2]) ).
fof(f110,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),top))) = X0,
inference(superposition,[],[f4,f20]) ).
fof(f112,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f4,f15]) ).
fof(f133,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f112,f20]) ).
fof(f135,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f110,f1]) ).
fof(f139,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f135,f1]) ).
fof(f140,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f139,f1]) ).
fof(f141,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f140,f1]) ).
fof(f142,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f141,f1]) ).
fof(f377,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f29,f8]) ).
fof(f401,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f377,f10]) ).
fof(f415,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f30,f1]) ).
fof(f438,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f14,f401]) ).
fof(f445,plain,
one = converse(one),
inference(superposition,[],[f8,f401]) ).
fof(f448,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f401,f445]) ).
fof(f453,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f438,f1]) ).
fof(f458,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f453,f448]) ).
fof(f460,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(backward_demodulation,[],[f133,f458]) ).
fof(f462,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(superposition,[],[f35,f460]) ).
fof(f629,plain,
zero = join(zero,zero),
inference(superposition,[],[f458,f20]) ).
fof(f635,plain,
! [X0] : top = join(complement(X0),join(complement(X0),complement(complement(X0)))),
inference(superposition,[],[f39,f458]) ).
fof(f636,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f635,f415]) ).
fof(f641,plain,
! [X0] : join(complement(top),complement(join(zero,complement(X0)))) = X0,
inference(backward_demodulation,[],[f142,f636]) ).
fof(f642,plain,
! [X0] : top = join(top,X0),
inference(backward_demodulation,[],[f462,f636]) ).
fof(f669,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f641,f20]) ).
fof(f744,plain,
top = join(zero,complement(join(zero,zero))),
inference(superposition,[],[f669,f20]) ).
fof(f745,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(superposition,[],[f669,f460]) ).
fof(f761,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f460,f745]) ).
fof(f762,plain,
top = complement(join(zero,zero)),
inference(forward_demodulation,[],[f744,f745]) ).
fof(f772,plain,
top = complement(zero),
inference(forward_demodulation,[],[f762,f629]) ).
fof(f778,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[],[f4,f772]) ).
fof(f784,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f778,f1]) ).
fof(f786,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f784,f1]) ).
fof(f788,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f786,f1]) ).
fof(f790,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f788,f1]) ).
fof(f792,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f790,f745]) ).
fof(f794,plain,
! [X0] : join(complement(complement(X0)),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f792,f1]) ).
fof(f795,plain,
! [X0] : join(complement(complement(X0)),complement(top)) = X0,
inference(forward_demodulation,[],[f794,f642]) ).
fof(f796,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f795,f1]) ).
fof(f797,plain,
! [X0] : join(complement(top),X0) = X0,
inference(forward_demodulation,[],[f796,f761]) ).
fof(f798,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f797,f20]) ).
fof(f802,plain,
sk1 != sk1,
inference(backward_demodulation,[],[f18,f798]) ).
fof(f803,plain,
$false,
inference(trivial_inequality_removal,[],[f802]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL001-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.43 % Computer : n007.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 22:48:10 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.47 Running first-order model finding
% 0.18/0.47 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
% 0.84/0.61 % (1857078)Will run a generic schedule for satisfiability detection.
% 0.84/0.61 % (1857088)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=388592751:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.84/0.61 % (1857084)% WARNING: option uhcvi not known.
% 0.84/0.61 % (1857083)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=598968210_2999 on theBenchmark for (2999ds/0Mi)
% 0.84/0.61 % (1857085)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2716403075:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.84/0.61 % (1857084)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=132572403:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.84/0.61 % (1857087)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=853547381:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.84/0.61 % (1857086)dis+10_1_sil=32000:sp=arity:random_seed=284607954:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.84/0.61 % (1857089)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=902799068:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.84/0.61 % TRYING [1]
% 0.84/0.61 % TRYING [2]
% 0.84/0.61 % TRYING [3]
% 0.84/0.61 % TRYING [4]
% 0.84/0.61 % (1857088)Instruction limit reached!
% 0.84/0.61 % (1857088)------------------------------
% 0.84/0.61 % (1857088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.61 % (1857088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.61 % (1857088)CaDiCaL version: 2.1.3
% 0.84/0.61 % (1857088)Termination reason: Instruction limit
% 0.84/0.61 % (1857088)Termination phase: Saturation
% 0.84/0.61 % (1857088)Time elapsed: 0.040 s
% 0.84/0.61 % (1857088)Peak memory usage: 12 MB
% 0.84/0.61 % (1857088)Instructions burned: 132 (million)
% 0.84/0.61 % (1857115)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=226021354:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.84/0.61 % TRYING [1]
% 0.84/0.61 % TRYING [2]
% 0.84/0.61 % TRYING [3]
% 0.84/0.61 % TRYING [4]
% 0.84/0.61 % TRYING [5]
% 0.84/0.61 % (1857086)Instruction limit reached!
% 0.84/0.61 % (1857086)------------------------------
% 0.84/0.61 % (1857086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.61 % (1857086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.61 % (1857086)CaDiCaL version: 2.1.3
% 0.84/0.61 % (1857086)Termination reason: Instruction limit
% 0.84/0.61 % (1857086)Termination phase: Saturation
% 0.84/0.61 % (1857086)Time elapsed: 0.059 s
% 0.84/0.61 % (1857086)Peak memory usage: 12 MB
% 0.84/0.61 % (1857086)Instructions burned: 105 (million)
% 0.84/0.61 % (1857087)Instruction limit reached!
% 0.84/0.61 % (1857087)------------------------------
% 0.84/0.61 % (1857087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.61 % (1857087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.61 % (1857087)CaDiCaL version: 2.1.3
% 0.84/0.61 % (1857087)Termination reason: Instruction limit
% 0.84/0.61 % (1857087)Termination phase: Saturation
% 0.84/0.61 % (1857087)Time elapsed: 0.069 s
% 0.84/0.61 % (1857087)Peak memory usage: 12 MB
% 0.84/0.61 % (1857087)Instructions burned: 117 (million)
% 0.84/0.61 % TRYING [5]
% 0.84/0.61 % (1857128)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2243862797:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.84/0.61 % (1857137)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=1450919560:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.84/0.61 % (1857089)Instruction limit reached!
% 0.84/0.61 % (1857089)------------------------------
% 0.84/0.61 % (1857089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.61 % (1857089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.61 % (1857089)CaDiCaL version: 2.1.3
% 0.84/0.61 % (1857089)Termination reason: Instruction limit
% 0.84/0.61 % (1857089)Termination phase: Saturation
% 0.84/0.61 % (1857089)Time elapsed: 0.096 s
% 0.84/0.61 % (1857089)Peak memory usage: 13 MB
% 0.84/0.61 % (1857089)Instructions burned: 160 (million)
% 0.84/0.61 % (1857128) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1857078-1857128"...
% 0.84/0.61 % (1857128)...printing done.
% 0.84/0.61 % (1857128)Refutation found. Thanks to Tanya!
% 0.84/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.84/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.84/0.61 % (1857128)------------------------------
% 0.84/0.61 % (1857128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.61 % (1857128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.61 % (1857128)CaDiCaL version: 2.1.3
% 0.84/0.61 % (1857128)Termination reason: Refutation
% 0.84/0.61 % (1857128)Time elapsed: 0.030 s
% 0.84/0.61 % (1857128)Peak memory usage: 12 MB
% 0.84/0.61 % (1857128)Instructions burned: 44 (million)
% 0.84/0.61 % (1857078)Success in time 0.134 s
% 0.84/0.61 % Vampire exiting
%------------------------------------------------------------------------------