%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL023-2 : 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 : n020.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 12:34:21 PM UTC 2026
% Result : Unsatisfiable 1.98s 0.72s
% Output : Refutation 1.98s
% 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(f23,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_17) ).
fof(f24,plain,
composition(sk1,meet(sk2,sk3)) != join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))),
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f29,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,[],[f24,f6,f6,f6,f6]) ).
fof(f32,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f33,plain,
zero = complement(top),
inference(forward_demodulation,[],[f25,f15]) ).
fof(f42,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f198,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f42,f8]) ).
fof(f214,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f198,f10]) ).
fof(f219,plain,
one = converse(one),
inference(superposition,[],[f214,f8]) ).
fof(f226,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f214,f219]) ).
fof(f311,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f313,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f322,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f15]) ).
fof(f350,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f313,f1]) ).
fof(f370,plain,
! [X0,X1] : top = join(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f322,f1]) ).
fof(f1043,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f311,f15]) ).
fof(f1238,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,[],[f29,f9]) ).
fof(f1250,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,[],[f1238,f1]) ).
fof(f1280,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f1335,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(superposition,[],[f1043,f350]) ).
fof(f1693,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f1280,f214]) ).
fof(f1706,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f1693,f226]) ).
fof(f1725,plain,
! [X0] : top = join(complement(X0),join(complement(X0),complement(complement(X0)))),
inference(superposition,[],[f370,f1706]) ).
fof(f1730,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1725,f350]) ).
fof(f1757,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f1730,f1335]) ).
fof(f1943,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[],[f32,f33]) ).
fof(f1946,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f32,f15]) ).
fof(f1963,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f1946,f1]) ).
fof(f1966,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1943,f1]) ).
fof(f1987,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f1963,f1706]) ).
fof(f1989,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f1966,f1]) ).
fof(f1999,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f1987,f33]) ).
fof(f2001,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1989,f1]) ).
fof(f2005,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f2001,f1]) ).
fof(f2008,plain,
! [X0] : join(complement(top),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f2005,f1757]) ).
fof(f2010,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f2008,f33]) ).
fof(f2425,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(superposition,[],[f2010,f1999]) ).
fof(f2469,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f2425,f1999]) ).
fof(f2524,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f1706,f2469]) ).
fof(f2622,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f2524]) ).
fof(f3724,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[],[f2622,f32]) ).
fof(f3837,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f3724,f1]) ).
fof(f4212,plain,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != composition(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(superposition,[],[f1250,f3837]) ).
fof(f4213,plain,
$false,
inference(trivial_inequality_removal,[],[f4212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL023-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 22:53:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 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
% 1.98/0.72 % (3858226)Will run a generic schedule for satisfiability detection.
% 1.98/0.72 % (3858232)% WARNING: option uhcvi not known.
% 1.98/0.72 % (3858232)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4213212209:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 1.98/0.72 % (3858231)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1610127682_3000 on theBenchmark for (3000ds/0Mi)
% 1.98/0.72 % (3858235)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4099048928:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 1.98/0.72 % (3858233)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3901149513:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 1.98/0.72 % (3858236)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3852863099:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 1.98/0.72 % (3858234)dis+10_1_sil=32000:sp=arity:random_seed=2274763321:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 1.98/0.72 % (3858237)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=589135103:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 1.98/0.72 % TRYING [1]
% 1.98/0.72 % TRYING [2]
% 1.98/0.72 % TRYING [3]
% 1.98/0.72 % TRYING [4]
% 1.98/0.72 % (3858234)Instruction limit reached!
% 1.98/0.72 % (3858234)------------------------------
% 1.98/0.72 % (3858234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.72 % (3858234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.72 % (3858234)CaDiCaL version: 2.1.3
% 1.98/0.72 % (3858234)Termination reason: Instruction limit
% 1.98/0.72 % (3858234)Termination phase: Saturation
% 1.98/0.72 % (3858234)Time elapsed: 0.102 s
% 1.98/0.72 % (3858234)Peak memory usage: 12 MB
% 1.98/0.72 % (3858234)Instructions burned: 104 (million)
% 1.98/0.72 % (3858235)Instruction limit reached!
% 1.98/0.72 % (3858235)------------------------------
% 1.98/0.72 % (3858235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.72 % (3858235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.72 % (3858235)CaDiCaL version: 2.1.3
% 1.98/0.72 % (3858235)Termination reason: Instruction limit
% 1.98/0.72 % (3858235)Termination phase: Saturation
% 1.98/0.72 % (3858235)Time elapsed: 0.116 s
% 1.98/0.72 % (3858235)Peak memory usage: 12 MB
% 1.98/0.72 % (3858235)Instructions burned: 116 (million)
% 1.98/0.72 % (3858236)Instruction limit reached!
% 1.98/0.72 % (3858236)------------------------------
% 1.98/0.72 % (3858236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.72 % (3858236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.72 % (3858236)CaDiCaL version: 2.1.3
% 1.98/0.72 % (3858236)Termination reason: Instruction limit
% 1.98/0.72 % (3858236)Termination phase: Saturation
% 1.98/0.72 % (3858236)Time elapsed: 0.122 s
% 1.98/0.72 % (3858236)Peak memory usage: 12 MB
% 1.98/0.72 % (3858236)Instructions burned: 136 (million)
% 1.98/0.72 % (3858247)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3965539677:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.98/0.72 % TRYING [1]
% 1.98/0.72 % TRYING [2]
% 1.98/0.72 % TRYING [3]
% 1.98/0.72 % (3858249)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=41977516:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.98/0.72 % (3858248)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1367703155:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.98/0.72 % (3858237)Instruction limit reached!
% 1.98/0.72 % (3858237)------------------------------
% 1.98/0.72 % (3858237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.72 % (3858237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.72 % (3858237)CaDiCaL version: 2.1.3
% 1.98/0.72 % (3858237)Termination reason: Instruction limit
% 1.98/0.72 % (3858237)Termination phase: Saturation
% 1.98/0.72 % (3858237)Time elapsed: 0.171 s
% 1.98/0.72 % (3858237)Peak memory usage: 12 MB
% 1.98/0.72 % (3858237)Instructions burned: 159 (million)
% 1.98/0.72 % TRYING [4]
% 1.98/0.72 % (3858254)ott-21_1_sil=16000:fs=off:random_seed=2387690904:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 1.98/0.72 % (3858249) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3858226-3858249"...
% 1.98/0.72 % (3858249)...printing done.
% 1.98/0.72 % (3858249)Refutation found. Thanks to Tanya!
% 1.98/0.72 % SZS status Unsatisfiable for theBenchmark
% 1.98/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 1.98/0.73 % (3858249)------------------------------
% 1.98/0.73 % (3858249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.73 % (3858249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.73 % (3858249)CaDiCaL version: 2.1.3
% 1.98/0.73 % (3858249)Termination reason: Refutation
% 1.98/0.73 % (3858249)Time elapsed: 0.116 s
% 1.98/0.73 % (3858249)Peak memory usage: 13 MB
% 1.98/0.73 % (3858249)Instructions burned: 147 (million)
% 1.98/0.73 % (3858226)Success in time 0.309 s
% 1.98/0.73 % Vampire exiting
%------------------------------------------------------------------------------