%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV131+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 01:08:12 PM UTC 2026
% Result : Theorem 5.52s 1.64s
% Output : Refutation 5.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 26 ( 12 avg)
% Number of connectives : 134 ( 33 ~; 25 |; 50 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ~ leq(tptp_float_0_001,pv1341)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) )
=> leq(n0,s_best7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0001) ).
fof(f54,negated_conjecture,
~ ( ( ~ leq(tptp_float_0_001,pv1341)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) )
=> leq(n0,s_best7) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f87,plain,
( ~ leq(n0,s_best7)
& ~ leq(tptp_float_0_001,pv1341)
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_sworst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_worst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_sworst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_worst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) )
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_sworst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f88,plain,
( ~ leq(n0,s_best7)
& ~ leq(tptp_float_0_001,pv1341)
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_sworst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_worst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_sworst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_worst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) )
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_sworst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) ) ),
inference(flattening,[],[f87]) ).
fof(f119,plain,
( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) ),
inference(cnf_transformation,[],[f88]) ).
fof(f120,plain,
~ leq(tptp_float_0_001,pv1341),
inference(cnf_transformation,[],[f88]) ).
fof(f121,plain,
~ leq(n0,s_best7),
inference(cnf_transformation,[],[f88]) ).
fof(f155,plain,
leq(tptp_float_0_001,pv1341),
inference(forward_subsumption_resolution,[],[f119,f121]) ).
fof(f156,plain,
$false,
inference(forward_subsumption_resolution,[],[f155,f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV131+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 % Computer : n006.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 09:58:40 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 Running first-order theorem proving
% 0.26/0.32 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
% 5.52/1.64 % (3860552)Detected formulas, will run a generic FOF schedule.
% 5.52/1.64 % (3860557)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=292279480:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.52/1.64 % (3860560)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=721513706:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.52/1.64 % (3860561)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2831926129:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.52/1.64 % (3860562)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1013268448:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.52/1.64 % (3860563)dis-21_1_sil=8000:lcm=predicate:random_seed=1386355379: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)
% 5.52/1.64 % (3860558)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=3088276051:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.52/1.64 % (3860559)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=2716616386:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.52/1.64 % (3860561)First to succeed.
% 5.52/1.64 % (3860560)Also succeeded, but the first one will report.
% 5.52/1.64 % (3860561)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3860552"
% 5.52/1.64 % (3860563)Also succeeded, but the first one will report.
% 5.52/1.64 % (3860562)Also succeeded, but the first one will report.
% 5.52/1.64 % (3860561)Refutation found. Thanks to Tanya!
% 5.52/1.64 % SZS status Theorem for theBenchmark
% 5.52/1.64 % SZS output start Proof for theBenchmark
% See solution above
% 5.52/1.64 % (3860561)------------------------------
% 5.52/1.64 % (3860561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/1.64 % (3860561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.64 % (3860561)CaDiCaL version: 2.1.3
% 5.52/1.64 % (3860561)Termination reason: Refutation
% 5.52/1.64 % (3860561)Time elapsed: 0.003 s
% 5.52/1.64 % (3860561)Peak memory usage: 88 MB
% 5.52/1.64 % (3860561)Instructions burned: 2 (million)
% 5.52/1.64 % (3860561)------------------------------
% 5.52/1.64 % (3860561)------------------------------
% 5.52/1.64 % (3860552)Success in time 0.677 s
% 5.52/1.64 % Vampire exiting
%------------------------------------------------------------------------------