%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV047+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 : 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 01:07:59 PM UTC 2026
% Result : Theorem 3.67s 1.30s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 24 ( 8 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 20 ( 4 ~; 0 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 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,
( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) )
=> true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0013) ).
fof(f54,negated_conjecture,
~ ( ( pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) )
=> true ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f94,plain,
( ~ true
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f95,plain,
( ~ true
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& leq(n0,pv35)
& leq(pv35,minus(n5,n1)) ),
inference(flattening,[],[f94]) ).
fof(f125,plain,
~ true,
inference(cnf_transformation,[],[f95]) ).
fof(f131,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f192,plain,
$false,
inference(forward_subsumption_resolution,[],[f131,f125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV047+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:47:06 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.67/1.30 % (1061903)Detected formulas, will run a generic FOF schedule.
% 3.67/1.30 % (1061910)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=2098405186:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.67/1.30 % (1061913)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=544960253:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.67/1.30 % (1061912)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3508767092:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.67/1.30 % (1061914)dis-21_1_sil=8000:lcm=predicate:random_seed=2129296786: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)
% 3.67/1.30 % (1061908)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=1154094629:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.67/1.30 % (1061911)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1294583677:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.67/1.30 % (1061909)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=2502197955:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.67/1.30 % (1061912)First to succeed.
% 3.67/1.30 % (1061911)Also succeeded, but the first one will report.
% 3.67/1.30 % (1061912)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1061903"
% 3.67/1.30 % (1061914)Also succeeded, but the first one will report.
% 3.67/1.30 % (1061913)Also succeeded, but the first one will report.
% 3.67/1.30 % (1061912)Refutation found. Thanks to Tanya!
% 3.67/1.30 % SZS status Theorem for theBenchmark
% 3.67/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.30 % (1061912)------------------------------
% 3.67/1.30 % (1061912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.30 % (1061912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.30 % (1061912)CaDiCaL version: 2.1.3
% 3.67/1.30 % (1061912)Termination reason: Refutation
% 3.67/1.30 % (1061912)Time elapsed: 0.002 s
% 3.67/1.30 % (1061912)Peak memory usage: 88 MB
% 3.67/1.30 % (1061912)Instructions burned: 2 (million)
% 3.67/1.30 % (1061912)------------------------------
% 3.67/1.30 % (1061912)------------------------------
% 3.67/1.30 % (1061903)Success in time 0.433 s
% 3.67/1.30 % Vampire exiting
%------------------------------------------------------------------------------