%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n001.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 12:33:49 PM UTC 2026
% Result : Unsatisfiable 0.15s 1.50s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 52 unt; 0 def)
% Number of atoms : 52 ( 51 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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(f23,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f6,f15]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X1,X0),
inference(superposition,[],[f6,f1]) ).
fof(f29,plain,
zero = complement(top),
inference(forward_demodulation,[],[f23,f16]) ).
fof(f72,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f87,plain,
! [X0] : complement(top) = meet(complement(X0),X0),
inference(superposition,[],[f24,f15]) ).
fof(f90,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f24,f6]) ).
fof(f100,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(forward_demodulation,[],[f87,f29]) ).
fof(f155,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f7,f8]) ).
fof(f242,plain,
composition(sk1,meet(sk2,sk3)) != composition(join(meet(sk1,converse(sk2)),sk1),meet(sk2,sk3)),
inference(superposition,[],[f18,f9]) ).
fof(f247,plain,
composition(sk1,meet(sk2,sk3)) != composition(join(sk1,meet(sk1,converse(sk2))),meet(sk2,sk3)),
inference(forward_demodulation,[],[f242,f1]) ).
fof(f365,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f400,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f72,f8]) ).
fof(f421,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f400,f10]) ).
fof(f436,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f155,f421]) ).
fof(f441,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f436,f421]) ).
fof(f492,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f365,f421]) ).
fof(f494,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f492,f441]) ).
fof(f515,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f516,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f515,f6]) ).
fof(f517,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f516,f1]) ).
fof(f573,plain,
! [X0] : join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[],[f517,f15]) ).
fof(f578,plain,
! [X0,X1] : join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[],[f517,f6]) ).
fof(f580,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(forward_demodulation,[],[f578,f1]) ).
fof(f583,plain,
! [X0] : join(complement(top),meet(X0,complement(complement(X0)))) = X0,
inference(forward_demodulation,[],[f573,f1]) ).
fof(f600,plain,
! [X0] : join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(forward_demodulation,[],[f583,f29]) ).
fof(f1069,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(superposition,[],[f580,f100]) ).
fof(f1075,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[],[f1069,f1]) ).
fof(f1094,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[],[f1075,f90]) ).
fof(f1104,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1094,f600]) ).
fof(f1138,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f494,f1104]) ).
fof(f1214,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f1138]) ).
fof(f3370,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f1214,f580]) ).
fof(f3455,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f3370,f1]) ).
fof(f3522,plain,
composition(sk1,meet(sk2,sk3)) != composition(sk1,meet(sk2,sk3)),
inference(superposition,[],[f247,f3455]) ).
fof(f3523,plain,
$false,
inference(trivial_inequality_removal,[],[f3522]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n001.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 22:58:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/1.50 % (4058760)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.15/1.50 % (4058767)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3826710764:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 0.15/1.50 % (4058765)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=378631834:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 0.15/1.50 % (4058766)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=364339422:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 0.15/1.50 % (4058769)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3323064785:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 0.15/1.50 % (4058768)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3533859111:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 0.15/1.50 % (4058770)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3040535331:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 0.15/1.50 % (4058771)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2360101008:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 0.15/1.50 % (4058771)First to succeed.
% 0.15/1.50 % (4058771)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4058760"
% 0.15/1.50 % (4058768)Instruction limit reached!
% 0.15/1.50 % (4058768)------------------------------
% 0.15/1.50 % (4058768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.50 % (4058768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.50 % (4058768)CaDiCaL version: 2.1.3
% 0.15/1.50 % (4058768)Termination reason: Instruction limit
% 0.15/1.50 % (4058768)Termination phase: Saturation
% 0.15/1.50 % (4058768)Time elapsed: 0.084 s
% 0.15/1.50 % (4058768)Peak memory usage: 88 MB
% 0.15/1.50 % (4058768)Instructions burned: 137 (million)
% 0.15/1.50 % (4058769)Instruction limit reached!
% 0.15/1.50 % (4058769)------------------------------
% 0.15/1.50 % (4058769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.50 % (4058769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.50 % (4058769)CaDiCaL version: 2.1.3
% 0.15/1.50 % (4058769)Termination reason: Instruction limit
% 0.15/1.50 % (4058769)Termination phase: Saturation
% 0.15/1.50 % (4058769)Time elapsed: 0.104 s
% 0.15/1.50 % (4058769)Peak memory usage: 89 MB
% 0.15/1.50 % (4058769)Instructions burned: 181 (million)
% 0.15/1.50 % (4058770)Instruction limit reached!
% 0.15/1.50 % (4058770)------------------------------
% 0.15/1.50 % (4058770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.50 % (4058770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.50 % (4058770)CaDiCaL version: 2.1.3
% 0.15/1.50 % (4058770)Termination reason: Instruction limit
% 0.15/1.50 % (4058770)Termination phase: Saturation
% 0.15/1.50 % (4058770)Time elapsed: 0.173 s
% 0.15/1.50 % (4058770)Peak memory usage: 90 MB
% 0.15/1.50 % (4058770)Instructions burned: 257 (million)
% 0.15/1.50 % (4058779)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3570991240:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 0.15/1.50 % (4058780)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3757074599:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 0.15/1.50 % (4058781)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3011160601:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 0.15/1.50 % (4058771)Refutation found. Thanks to Tanya!
% 0.15/1.50 % SZS status Unsatisfiable for theBenchmark
% 0.15/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.51 % (4058771)------------------------------
% 0.15/1.51 % (4058771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (4058771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (4058771)CaDiCaL version: 2.1.3
% 0.15/1.51 % (4058771)Termination reason: Refutation
% 0.15/1.51 % (4058771)Time elapsed: 0.059 s
% 0.15/1.51 % (4058771)Peak memory usage: 89 MB
% 0.15/1.51 % (4058771)Instructions burned: 103 (million)
% 0.15/1.51 % (4058771)------------------------------
% 0.15/1.51 % (4058771)------------------------------
% 0.15/1.51 % (4058760)Success in time 0.458 s
% 0.15/1.51 % Vampire exiting
%------------------------------------------------------------------------------