%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL023-1 : 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 : n006.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 12:34:20 PM UTC 2026
% Result : Unsatisfiable 1.43s 0.69s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 59 ( 59 unt; 0 def)
% Number of atoms : 59 ( 58 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 75 ( 75 !; 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(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
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(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))) != composition(sk1,meet(sk2,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
composition(sk1,meet(sk2,sk3)) != join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))),
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f20,plain,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != join(composition(complement(join(complement(sk1),complement(converse(sk2)))),complement(join(complement(sk2),complement(sk3)))),composition(sk1,complement(join(complement(sk2),complement(sk3))))),
inference(definition_unfolding,[],[f18,f6,f6,f6,f6]) ).
fof(f23,plain,
zero = complement(top),
inference(forward_demodulation,[],[f19,f15]) ).
fof(f32,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f33,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f189,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f32,f8]) ).
fof(f205,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f189,f10]) ).
fof(f210,plain,
one = converse(one),
inference(superposition,[],[f205,f8]) ).
fof(f217,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f205,f210]) ).
fof(f421,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f423,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f432,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f15]) ).
fof(f461,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f423,f1]) ).
fof(f483,plain,
! [X0,X1] : top = join(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f432,f1]) ).
fof(f989,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f421,f15]) ).
fof(f1248,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(superposition,[],[f989,f461]) ).
fof(f2594,plain,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != composition(join(complement(join(complement(sk1),complement(converse(sk2)))),sk1),complement(join(complement(sk2),complement(sk3)))),
inference(superposition,[],[f20,f9]) ).
fof(f2610,plain,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != composition(join(sk1,complement(join(complement(sk1),complement(converse(sk2))))),complement(join(complement(sk2),complement(sk3)))),
inference(forward_demodulation,[],[f2594,f1]) ).
fof(f2617,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f3827,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f2617,f205]) ).
fof(f3854,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f3827,f217]) ).
fof(f3878,plain,
! [X0] : top = join(complement(X0),join(complement(X0),complement(complement(X0)))),
inference(superposition,[],[f483,f3854]) ).
fof(f3888,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f3878,f461]) ).
fof(f3926,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f3888,f1248]) ).
fof(f4202,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[],[f33,f23]) ).
fof(f4205,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f33,f15]) ).
fof(f4238,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f4205,f1]) ).
fof(f4241,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f4202,f1]) ).
fof(f4268,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f4238,f3854]) ).
fof(f4271,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f4241,f1]) ).
fof(f4287,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f4268,f23]) ).
fof(f4289,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f4271,f1]) ).
fof(f4295,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f4289,f1]) ).
fof(f4299,plain,
! [X0] : join(complement(top),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f4295,f3926]) ).
fof(f4301,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f4299,f23]) ).
fof(f4346,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(superposition,[],[f4301,f4287]) ).
fof(f4633,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f4346,f4287]) ).
fof(f4698,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f3854,f4633]) ).
fof(f4838,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f4698]) ).
fof(f6094,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[],[f4838,f33]) ).
fof(f6252,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f6094,f1]) ).
fof(f8002,plain,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != composition(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(superposition,[],[f2610,f6252]) ).
fof(f8003,plain,
$false,
inference(trivial_inequality_removal,[],[f8002]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL023-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n006.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % 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 22:52:26 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 1.43/0.69 % (3417957)Will run a generic schedule for satisfiability detection.
% 1.43/0.69 % (3417965)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2653130710_2999 on theBenchmark for (2999ds/0Mi)
% 1.43/0.69 % TRYING [1]
% 1.43/0.69 % TRYING [2]
% 1.43/0.69 % TRYING [3]
% 1.43/0.69 % (3417966)% WARNING: option uhcvi not known.
% 1.43/0.69 % TRYING [4]
% 1.43/0.69 % (3417966)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1184298035:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.43/0.69 % (3417967)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3311026033:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.43/0.69 % (3417968)dis+10_1_sil=32000:sp=arity:random_seed=4207301004:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.43/0.69 % (3417969)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2501971421:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.43/0.69 % (3417970)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3569322258:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.43/0.69 % (3417971)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=30855776:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.43/0.69 % TRYING [5]
% 1.43/0.69 % (3417968)Instruction limit reached!
% 1.43/0.69 % (3417968)------------------------------
% 1.43/0.69 % (3417968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.69 % (3417968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.69 % (3417968)CaDiCaL version: 2.1.3
% 1.43/0.69 % (3417968)Termination reason: Instruction limit
% 1.43/0.69 % (3417968)Termination phase: Saturation
% 1.43/0.69 % (3417968)Time elapsed: 0.059 s
% 1.43/0.69 % (3417968)Peak memory usage: 12 MB
% 1.43/0.69 % (3417968)Instructions burned: 104 (million)
% 1.43/0.69 % (3417969)Instruction limit reached!
% 1.43/0.69 % (3417969)------------------------------
% 1.43/0.69 % (3417969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.69 % (3417969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.69 % (3417969)CaDiCaL version: 2.1.3
% 1.43/0.69 % (3417969)Termination reason: Instruction limit
% 1.43/0.69 % (3417969)Termination phase: Saturation
% 1.43/0.69 % (3417969)Time elapsed: 0.070 s
% 1.43/0.69 % (3417969)Peak memory usage: 12 MB
% 1.43/0.69 % (3417969)Instructions burned: 117 (million)
% 1.43/0.69 % (3417970)Instruction limit reached!
% 1.43/0.69 % (3417970)------------------------------
% 1.43/0.69 % (3417970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.69 % (3417970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.69 % (3417970)CaDiCaL version: 2.1.3
% 1.43/0.69 % (3417970)Termination reason: Instruction limit
% 1.43/0.69 % (3417970)Termination phase: Saturation
% 1.43/0.69 % (3417970)Time elapsed: 0.076 s
% 1.43/0.69 % (3417970)Peak memory usage: 12 MB
% 1.43/0.69 % (3417970)Instructions burned: 133 (million)
% 1.43/0.69 % (3418000)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2168989752:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.43/0.69 % TRYING [1]
% 1.43/0.69 % TRYING [2]
% 1.43/0.69 % TRYING [3]
% 1.43/0.69 % (3418004)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2167080251:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.43/0.69 % TRYING [4]
% 1.43/0.69 % (3417971)Instruction limit reached!
% 1.43/0.69 % (3417971)------------------------------
% 1.43/0.69 % (3417971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.69 % (3417971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.69 % (3417971)CaDiCaL version: 2.1.3
% 1.43/0.69 % (3417971)Termination reason: Instruction limit
% 1.43/0.69 % (3417971)Termination phase: Saturation
% 1.43/0.69 % (3417971)Time elapsed: 0.095 s
% 1.43/0.69 % (3417971)Peak memory usage: 13 MB
% 1.43/0.69 % (3417971)Instructions burned: 159 (million)
% 1.43/0.69 % (3418009)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=3461944512:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.43/0.69 % (3418014)ott-21_1_sil=16000:fs=off:random_seed=1203404573:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.43/0.69 % TRYING [6]
% 1.43/0.69 % TRYING [5]
% 1.43/0.69 % (3418004)Instruction limit reached!
% 1.43/0.69 % (3418004)------------------------------
% 1.43/0.69 % (3418004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.69 % (3418004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.69 % (3418004)CaDiCaL version: 2.1.3
% 1.43/0.69 % (3418004)Termination reason: Instruction limit
% 1.43/0.69 % (3418004)Termination phase: Saturation
% 1.43/0.69 % (3418004)Time elapsed: 0.085 s
% 1.43/0.69 % (3418004)Peak memory usage: 12 MB
% 1.43/0.69 % (3418004)Instructions burned: 132 (million)
% 1.43/0.69 % (3418014)Instruction limit reached!
% 1.43/0.69 % (3418014)------------------------------
% 1.43/0.69 % (3418014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.69 % (3418014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.69 % (3418014)CaDiCaL version: 2.1.3
% 1.43/0.69 % (3418014)Termination reason: Instruction limit
% 1.43/0.69 % (3418014)Termination phase: Saturation
% 1.43/0.69 % (3418014)Time elapsed: 0.081 s
% 1.43/0.69 % (3418014)Peak memory usage: 12 MB
% 1.43/0.69 % (3418014)Instructions burned: 180 (million)
% 1.43/0.69 % (3418016)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1188172684:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.43/0.69 % (3418023)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3771477417:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.43/0.69 % TRYING [1]
% 1.43/0.69 % TRYING [2]
% 1.43/0.69 % TRYING [3]
% 1.43/0.69 % (3418009) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3417957-3418009"...
% 1.43/0.69 % (3418009)...printing done.
% 1.43/0.69 % (3418009)Refutation found. Thanks to Tanya!
% 1.43/0.69 % SZS status Unsatisfiable for theBenchmark
% 1.43/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.69 % (3418009)------------------------------
% 1.43/0.69 % (3418009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.69 % (3418009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.69 % (3418009)CaDiCaL version: 2.1.3
% 1.43/0.69 % (3418009)Termination reason: Refutation
% 1.43/0.69 % (3418009)Time elapsed: 0.132 s
% 1.43/0.69 % (3418009)Peak memory usage: 14 MB
% 1.43/0.69 % (3418009)Instructions burned: 245 (million)
% 1.43/0.69 % (3417957)Success in time 0.254 s
% 1.43/0.69 % Vampire exiting
%------------------------------------------------------------------------------