%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV069+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 01:20:07 PM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 18 unt; 4 def)
% Number of atoms : 82 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 72 ( 28 ~; 24 |; 13 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f53,conjecture,
( ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) )
=> ( leq(n0,n0)
& leq(n0,pv10)
& leq(n0,minus(n5,n1))
& leq(pv10,minus(n135300,n1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0010) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) )
=> ( leq(n0,n0)
& leq(n0,pv10)
& leq(n0,minus(n5,n1))
& leq(pv10,minus(n135300,n1)) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f66,axiom,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).
fof(f143,plain,
( ( ~ leq(n0,n0)
| ~ leq(n0,pv10)
| ~ leq(n0,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1)) )
& leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ( ~ leq(n0,n0)
| ~ leq(n0,pv10)
| ~ leq(n0,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1)) )
& leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ),
inference(flattening,[],[f143]) ).
fof(f164,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f200,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f205,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f287,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f307,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f308,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f144]) ).
fof(f309,plain,
( ~ leq(n0,n0)
| ~ leq(n0,pv10)
| ~ leq(n0,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f321,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f349,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f205,f287]) ).
fof(f379,definition,
( spl31_1
<=> leq(pv10,minus(n135300,n1)) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f383,definition,
( spl31_2
<=> leq(n0,minus(n5,n1)) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f385,plain,
( ~ leq(n0,minus(n5,n1))
| spl31_2 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f387,definition,
( spl31_3
<=> leq(n0,pv10) ),
introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).
fof(f391,definition,
( spl31_4
<=> leq(n0,n0) ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f393,plain,
( ~ leq(n0,n0)
| spl31_4 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f394,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4 ),
inference(avatar_split_clause,[],[f309,f391,f387,f383,f379]) ).
fof(f395,plain,
spl31_3,
inference(avatar_split_clause,[],[f308,f387]) ).
fof(f396,plain,
spl31_1,
inference(avatar_split_clause,[],[f307,f379]) ).
fof(f440,plain,
( ~ gt(n5,n0)
| spl31_2 ),
inference(resolution,[],[f349,f385]) ).
fof(f443,plain,
( $false
| spl31_2 ),
inference(forward_subsumption_resolution,[],[f440,f321]) ).
fof(f444,plain,
spl31_2,
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f445,plain,
( $false
| spl31_4 ),
inference(forward_subsumption_resolution,[],[f393,f200]) ).
fof(f446,plain,
spl31_4,
inference(avatar_contradiction_clause,[],[f445]) ).
cnf(s1,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4 ),
inference(sat_conversion,[],[f394]) ).
cnf(s2,plain,
spl31_3,
inference(sat_conversion,[],[f395]) ).
cnf(s3,plain,
spl31_1,
inference(sat_conversion,[],[f396]) ).
cnf(s4,plain,
spl31_2,
inference(sat_conversion,[],[f444]) ).
cnf(s5,plain,
spl31_4,
inference(sat_conversion,[],[f446]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5,s2,s4,s3]) ).
fof(f447,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV069+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n002.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 09:51:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.27 % (241515)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (241520)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3703711549_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (241521)% WARNING: option uhcvi not known.
% 0.19/0.27 % (241522)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4054034737:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (241521)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3883808708:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (241523)dis+10_1_sil=32000:sp=arity:random_seed=1438124244:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (241524)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1949090207:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (241525)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3143492880:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (241526)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2314533162:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (241523) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-241515-241523"...
% 0.19/0.27 % (241521) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-241515-241521"...
% 0.19/0.27 % (241523)...printing done.
% 0.19/0.27 % (241521)...printing done.
% 0.19/0.27 % (241526) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-241515-241526"...
% 0.19/0.27 % (241523)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (241523)------------------------------
% 0.19/0.27 % (241523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (241523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (241523)CaDiCaL version: 2.1.3
% 0.19/0.27 % (241523)Termination reason: Refutation
% 0.19/0.27 % (241523)Time elapsed: 0.009 s
% 0.19/0.27 % (241523)Peak memory usage: 12 MB
% 0.19/0.27 % (241523)Instructions burned: 13 (million)
% 0.19/0.27 % (241515)Success in time 0.047 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------