%------------------------------------------------------------------------------
% 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/sandbox/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 : Theorem 1.18s 0.64s
% Output : Refutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 65 ( 65 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 91 ( 88 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))) = composition(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))) = composition(X0,meet(X1,X2)),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] : composition(X0,meet(X1,X2)) != join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f19,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f20,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f22,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f23,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f27,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f28,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f29,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f30,plain,
composition(sK0,meet(sK1,sK2)) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(sK0,meet(sK1,sK2))),
inference(cnf_transformation,[],[f16]) ).
fof(f31,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f29,f20]) ).
fof(f32,plain,
composition(sK0,complement(join(complement(sK1),complement(sK2)))) != join(composition(complement(join(complement(sK0),complement(converse(sK1)))),complement(join(complement(sK1),complement(sK2)))),composition(sK0,complement(join(complement(sK1),complement(sK2))))),
inference(definition_unfolding,[],[f30,f20,f20,f20,f20]) ).
fof(f35,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f19,f17]) ).
fof(f36,plain,
zero = complement(top),
inference(forward_demodulation,[],[f31,f28]) ).
fof(f45,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f26,f24]) ).
fof(f201,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f45,f22]) ).
fof(f217,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f201,f24]) ).
fof(f222,plain,
one = converse(one),
inference(superposition,[],[f217,f22]) ).
fof(f229,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f217,f222]) ).
fof(f252,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f18,f28]) ).
fof(f260,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f18,f28]) ).
fof(f358,plain,
composition(sK0,complement(join(complement(sK1),complement(sK2)))) != composition(join(complement(join(complement(sK0),complement(converse(sK1)))),sK0),complement(join(complement(sK1),complement(sK2)))),
inference(superposition,[],[f32,f23]) ).
fof(f367,plain,
composition(sK0,complement(join(complement(sK1),complement(sK2)))) != composition(join(sK0,complement(join(complement(sK0),complement(converse(sK1))))),complement(join(complement(sK1),complement(sK2)))),
inference(forward_demodulation,[],[f358,f17]) ).
fof(f413,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f252,f17]) ).
fof(f433,plain,
! [X0,X1] : top = join(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f260,f17]) ).
fof(f864,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f27,f17]) ).
fof(f1110,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f864,f217]) ).
fof(f1118,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f1110,f229]) ).
fof(f1135,plain,
! [X0] : top = join(complement(X0),join(complement(X0),complement(complement(X0)))),
inference(superposition,[],[f433,f1118]) ).
fof(f1136,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1135,f413]) ).
fof(f1228,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[],[f35,f36]) ).
fof(f1231,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f35,f28]) ).
fof(f1243,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f1231,f17]) ).
fof(f1246,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1228,f17]) ).
fof(f1261,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f1243,f1118]) ).
fof(f1263,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f1246,f17]) ).
fof(f1269,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f1261,f36]) ).
fof(f1271,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1263,f17]) ).
fof(f1275,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1271,f17]) ).
fof(f1278,plain,
! [X0] : join(complement(top),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1275,f1136]) ).
fof(f1280,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1278,f36]) ).
fof(f1628,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(superposition,[],[f1280,f1269]) ).
fof(f1666,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f1628,f1269]) ).
fof(f1715,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f1118,f1666]) ).
fof(f1807,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f18,f1715]) ).
fof(f2631,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[],[f1807,f35]) ).
fof(f2724,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f2631,f17]) ).
fof(f4164,plain,
composition(sK0,complement(join(complement(sK1),complement(sK2)))) != composition(sK0,complement(join(complement(sK1),complement(sK2)))),
inference(superposition,[],[f367,f2724]) ).
fof(f4165,plain,
$false,
inference(trivial_inequality_removal,[],[f4164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL023+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n006.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 22:52:25 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.18/0.64 % (3417749)Will run a generic schedule for satisfiability detection.
% 1.18/0.64 % (3417764)dis+10_1_sil=32000:sp=arity:random_seed=3583311830:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.18/0.64 % (3417762)% WARNING: option uhcvi not known.
% 1.18/0.64 % (3417761)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=874866675_2999 on theBenchmark for (2999ds/0Mi)
% 1.18/0.64 % (3417762)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=920524876:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.18/0.64 % (3417763)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2283193054:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.18/0.64 % (3417765)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3039936699:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.18/0.64 % (3417767)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=483228406:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.18/0.64 % (3417766)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2397389499:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.18/0.64 % TRYING [1]
% 1.18/0.64 % TRYING [2]
% 1.18/0.64 % TRYING [3]
% 1.18/0.64 % TRYING [4]
% 1.18/0.64 % (3417764)Instruction limit reached!
% 1.18/0.64 % (3417764)------------------------------
% 1.18/0.64 % (3417764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.64 % (3417764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.64 % (3417764)CaDiCaL version: 2.1.3
% 1.18/0.64 % (3417764)Termination reason: Instruction limit
% 1.18/0.64 % (3417764)Termination phase: Saturation
% 1.18/0.64 % (3417764)Time elapsed: 0.033 s
% 1.18/0.64 % (3417764)Peak memory usage: 12 MB
% 1.18/0.64 % (3417764)Instructions burned: 107 (million)
% 1.18/0.64 % (3417787)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3978801491:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.18/0.64 % TRYING [1]
% 1.18/0.64 % TRYING [2]
% 1.18/0.64 % TRYING [3]
% 1.18/0.64 % TRYING [4]
% 1.18/0.64 % TRYING [5]
% 1.18/0.64 % (3417765)Instruction limit reached!
% 1.18/0.64 % (3417765)------------------------------
% 1.18/0.64 % (3417765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.64 % (3417765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.64 % (3417765)CaDiCaL version: 2.1.3
% 1.18/0.64 % (3417765)Termination reason: Instruction limit
% 1.18/0.64 % (3417765)Termination phase: Saturation
% 1.18/0.64 % (3417765)Time elapsed: 0.069 s
% 1.18/0.64 % (3417765)Peak memory usage: 12 MB
% 1.18/0.64 % (3417765)Instructions burned: 117 (million)
% 1.18/0.64 % TRYING [5]
% 1.18/0.64 % (3417766)Instruction limit reached!
% 1.18/0.64 % (3417766)------------------------------
% 1.18/0.64 % (3417766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.64 % (3417766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.64 % (3417766)CaDiCaL version: 2.1.3
% 1.18/0.64 % (3417766)Termination reason: Instruction limit
% 1.18/0.64 % (3417766)Termination phase: Saturation
% 1.18/0.64 % (3417766)Time elapsed: 0.075 s
% 1.18/0.64 % (3417766)Peak memory usage: 13 MB
% 1.18/0.64 % (3417766)Instructions burned: 133 (million)
% 1.18/0.64 % (3417807)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=11297374:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.18/0.64 % (3417767)Instruction limit reached!
% 1.18/0.64 % (3417767)------------------------------
% 1.18/0.64 % (3417767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.64 % (3417767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.64 % (3417767)CaDiCaL version: 2.1.3
% 1.18/0.64 % (3417767)Termination reason: Instruction limit
% 1.18/0.64 % (3417767)Termination phase: Saturation
% 1.18/0.64 % (3417767)Time elapsed: 0.095 s
% 1.18/0.64 % (3417767)Peak memory usage: 12 MB
% 1.18/0.64 % (3417767)Instructions burned: 159 (million)
% 1.18/0.64 % (3417811)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=962536795:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.18/0.64 % (3417821)ott-21_1_sil=16000:fs=off:random_seed=3751499390:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.18/0.64 % (3417811) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3417749-3417811"...
% 1.18/0.64 % (3417811)...printing done.
% 1.18/0.64 % (3417811)Refutation found. Thanks to Tanya!
% 1.18/0.64 % SZS status Theorem for theBenchmark
% 1.18/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.18/0.64 % (3417811)------------------------------
% 1.18/0.64 % (3417811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.64 % (3417811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.64 % (3417811)CaDiCaL version: 2.1.3
% 1.18/0.64 % (3417811)Termination reason: Refutation
% 1.18/0.64 % (3417811)Time elapsed: 0.071 s
% 1.18/0.64 % (3417811)Peak memory usage: 13 MB
% 1.18/0.64 % (3417811)Instructions burned: 127 (million)
% 1.18/0.64 % (3417749)Success in time 0.216 s
% 1.18/0.64 % Vampire exiting
%------------------------------------------------------------------------------