%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV045+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 01:07:59 PM UTC 2026
% Result : Theorem 3.43s 1.19s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 20 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 16 ( 4 ~; 0 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ttrue) ).
fof(f53,conjecture,
( ( pv76 = sum(n0,minus(n135300,n1),a_select3(q,pv77,pv25))
& leq(n0,pv25)
& leq(pv25,minus(n5,n1)) )
=> true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0007) ).
fof(f54,negated_conjecture,
~ ( ( pv76 = sum(n0,minus(n135300,n1),a_select3(q,pv77,pv25))
& leq(n0,pv25)
& leq(pv25,minus(n5,n1)) )
=> true ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f94,plain,
( ~ true
& pv76 = sum(n0,minus(n135300,n1),a_select3(q,pv77,pv25))
& leq(n0,pv25)
& leq(pv25,minus(n5,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f95,plain,
( ~ true
& pv76 = sum(n0,minus(n135300,n1),a_select3(q,pv77,pv25))
& leq(n0,pv25)
& leq(pv25,minus(n5,n1)) ),
inference(flattening,[],[f94]) ).
fof(f124,plain,
~ true,
inference(cnf_transformation,[],[f95]) ).
fof(f130,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f191,plain,
$false,
inference(forward_subsumption_resolution,[],[f130,f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV045+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n011.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 09:44:01 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.43/1.19 % (3282680)Detected formulas, will run a generic FOF schedule.
% 3.43/1.19 % (3282685)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=539230888:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.43/1.19 % (3282690)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1800992953:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.43/1.19 % (3282689)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=561398615:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.43/1.19 % (3282688)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3980620292:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.43/1.19 % (3282686)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=3319842735:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.43/1.19 % (3282687)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=1597921693:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.43/1.19 % (3282689)First to succeed.
% 3.43/1.19 % (3282688)Also succeeded, but the first one will report.
% 3.43/1.19 % (3282689)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3282680"
% 3.43/1.19 % (3282690)Also succeeded, but the first one will report.
% 3.43/1.19 % (3282691)dis-21_1_sil=8000:lcm=predicate:random_seed=803847791: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)
% 3.43/1.19 % (3282691)Also succeeded, but the first one will report.
% 3.43/1.19 % (3282689)Refutation found. Thanks to Tanya!
% 3.43/1.19 % SZS status Theorem for theBenchmark
% 3.43/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.43/1.19 % (3282689)------------------------------
% 3.43/1.19 % (3282689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.19 % (3282689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.19 % (3282689)CaDiCaL version: 2.1.3
% 3.43/1.19 % (3282689)Termination reason: Refutation
% 3.43/1.19 % (3282689)Time elapsed: 0.002 s
% 3.43/1.19 % (3282689)Peak memory usage: 88 MB
% 3.43/1.19 % (3282689)Instructions burned: 2 (million)
% 3.43/1.19 % (3282689)------------------------------
% 3.43/1.19 % (3282689)------------------------------
% 3.43/1.19 % (3282680)Success in time 0.418 s
% 3.43/1.19 % Vampire exiting
%------------------------------------------------------------------------------