%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV414+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 01:09:09 PM UTC 2026
% Result : Theorem 3.59s 1.26s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 1 def)
% Number of atoms : 11 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 7 ( 6 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X0,X1] : i(triple(X0,create_slb,X1)) = create_pq,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
fof(f63,conjecture,
! [X0] : i(triple(create_pqp,create_slb,X0)) = create_pq,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f64,negated_conjecture,
~ ! [X0] : i(triple(create_pqp,create_slb,X0)) = create_pq,
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f66,plain,
? [X0] : create_pq != i(triple(create_pqp,create_slb,X0)),
inference(ennf_transformation,[],[f64]) ).
fof(f67,plain,
create_pq != i(triple(create_pqp,create_slb,sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f66]) ).
fof(f68,plain,
create_pq != i(triple(create_pqp,create_slb,sK0)),
inference(cnf_transformation,[],[f67]) ).
fof(f69,plain,
! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f71,definition,
~ sP1(create_pq),
introduced(definition,[new_symbols(definition,[sP1])],[inequality_splitting_name_introduction]) ).
fof(f72,plain,
sP1(i(triple(create_pqp,create_slb,sK0))),
inference(inequality_splitting,[],[f68,f71]) ).
fof(f73,plain,
sP1(create_pq),
inference(forward_demodulation,[],[f72,f69]) ).
fof(f74,plain,
$false,
inference(forward_subsumption_resolution,[],[f73,f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV414+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n013.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 10:51:36 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 Running first-order theorem proving
% 0.09/0.19 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
% 3.59/1.26 % (1093052)Detected formulas, will run a generic FOF schedule.
% 3.59/1.26 % (1093057)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=3743420912:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.59/1.26 % (1093062)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=289195105:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.59/1.26 % (1093058)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=4238891031:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.59/1.26 % (1093061)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=22031149:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.59/1.26 % (1093060)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=501676062:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.59/1.26 % (1093059)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=3288696173:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.59/1.26 % (1093060)First to succeed.
% 3.59/1.26 % (1093061)Also succeeded, but the first one will report.
% 3.59/1.26 % (1093060)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1093052"
% 3.59/1.26 % (1093062)Also succeeded, but the first one will report.
% 3.59/1.26 % (1093063)dis-21_1_sil=8000:lcm=predicate:random_seed=3625045166: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)
% 3.59/1.26 % (1093063)Also succeeded, but the first one will report.
% 3.59/1.26 % (1093060)Refutation found. Thanks to Tanya!
% 3.59/1.26 % SZS status Theorem for theBenchmark
% 3.59/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.26 % (1093060)------------------------------
% 3.59/1.26 % (1093060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.26 % (1093060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.26 % (1093060)CaDiCaL version: 2.1.3
% 3.59/1.26 % (1093060)Termination reason: Refutation
% 3.59/1.26 % (1093060)Time elapsed: 0.002 s
% 3.59/1.26 % (1093060)Peak memory usage: 88 MB
% 3.59/1.26 % (1093060)------------------------------
% 3.59/1.26 % (1093060)------------------------------
% 3.59/1.26 % (1093052)Success in time 0.427 s
% 3.59/1.26 % Vampire exiting
%------------------------------------------------------------------------------