%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL002+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 : n005.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 12:33:36 PM UTC 2026
% Result : Theorem 3.59s 1.37s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 35 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
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) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f14,conjecture,
! [X0] : join(X0,top) = top,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] : join(X0,top) = top,
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] : top != join(X0,top),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
top != join(sK0,top),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f18,plain,
top != join(sK0,top),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f21,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f22,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f19,f21]) ).
fof(f35,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f23,f21]) ).
fof(f36,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f23,f20]) ).
fof(f46,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f22,f20]) ).
fof(f71,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f46,f21]) ).
fof(f77,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f46,f21]) ).
fof(f85,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f77,f20]) ).
fof(f359,plain,
! [X0] : join(top,complement(top)) = join(join(complement(X0),complement(X0)),X0),
inference(superposition,[],[f36,f85]) ).
fof(f370,plain,
! [X0] : join(top,complement(top)) = join(X0,join(complement(X0),complement(X0))),
inference(forward_demodulation,[],[f359,f20]) ).
fof(f375,plain,
! [X0] : join(top,complement(top)) = join(top,complement(X0)),
inference(forward_demodulation,[],[f370,f23]) ).
fof(f376,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f375,f21]) ).
fof(f397,plain,
! [X0] : join(top,X0) = join(top,complement(join(complement(X0),complement(complement(complement(X0)))))),
inference(superposition,[],[f23,f71]) ).
fof(f412,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f397,f376]) ).
fof(f419,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f412,f35]) ).
fof(f467,plain,
top != top,
inference(superposition,[],[f18,f419]) ).
fof(f468,plain,
$false,
inference(trivial_inequality_removal,[],[f467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL002+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 22:50:02 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 3.59/1.37 % (262866)Detected formulas, will run a generic FOF schedule.
% 3.59/1.37 % (262872)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3327973619:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.59/1.37 % (262873)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1798629420:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.59/1.37 % (262871)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1716082652:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.59/1.37 % (262875)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2969662692:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.59/1.37 % (262874)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3226936323:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.59/1.37 % (262877)dis-21_1_sil=8000:lcm=predicate:random_seed=2595411161:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.59/1.37 % (262876)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1278756715:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.59/1.37 % (262877)Refutation not found, incomplete strategy
% 3.59/1.37 % (262877)------------------------------
% 3.59/1.37 % (262877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.37 % (262877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.37 % (262877)CaDiCaL version: 2.1.3
% 3.59/1.37 % (262877)Termination reason: Refutation not found, incomplete strategy
% 3.59/1.37 % (262877)Time elapsed: 0.001 s
% 3.59/1.37 % (262877)Peak memory usage: 88 MB
% 3.59/1.37 % (262877)Instructions burned: 1 (million)
% 3.59/1.37 % (262875)First to succeed.
% 3.59/1.37 % (262875)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-262866"
% 3.59/1.37 % (262876)Also succeeded, but the first one will report.
% 3.59/1.37 % (262874)Instruction limit reached!
% 3.59/1.37 % (262874)------------------------------
% 3.59/1.37 % (262874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.37 % (262874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.37 % (262874)CaDiCaL version: 2.1.3
% 3.59/1.37 % (262874)Termination reason: Instruction limit
% 3.59/1.37 % (262874)Termination phase: Saturation
% 3.59/1.37 % (262874)Time elapsed: 0.074 s
% 3.59/1.37 % (262874)Peak memory usage: 89 MB
% 3.59/1.37 % (262874)Instructions burned: 110 (million)
% 3.59/1.37 % (262885)lrs+10_1_sil=8000:sp=occurrence:random_seed=1109633195:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.59/1.37 % (262877)------------------------------
% 3.59/1.37 % (262877)------------------------------
% 3.59/1.37 % (262885)Also succeeded, but the first one will report.
% 3.59/1.37 % (262875)Refutation found. Thanks to Tanya!
% 3.59/1.37 % SZS status Theorem for theBenchmark
% 3.59/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.37 % (262875)------------------------------
% 3.59/1.37 % (262875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.37 % (262875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.37 % (262875)CaDiCaL version: 2.1.3
% 3.59/1.37 % (262875)Termination reason: Refutation
% 3.59/1.37 % (262875)Time elapsed: 0.012 s
% 3.59/1.37 % (262875)Peak memory usage: 88 MB
% 3.59/1.37 % (262875)Instructions burned: 17 (million)
% 3.59/1.37 % (262875)------------------------------
% 3.59/1.37 % (262875)------------------------------
% 3.59/1.37 % (262866)Success in time 0.444 s
% 3.59/1.37 % Vampire exiting
%------------------------------------------------------------------------------