%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV067+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 : 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 01:20:07 PM UTC 2026
% Result : Theorem 0.22s 0.30s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 18 unt; 4 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 137 ( 51 ~; 41 |; 33 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X0,X1)
& leq(X1,X2) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(f53,conjecture,
( ( leq(n0,pv10)
& leq(n1,pv63)
& leq(pv10,minus(n135300,n1))
& leq(pv63,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv63)
& leq(pv10,minus(n135300,n1))
& leq(pv63,minus(n5,n1))
& ( ~ gt(a_select3(q,pv10,pv63),pv78)
=> ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ) )
& ( gt(a_select3(q,pv10,pv63),pv78)
=> ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0008) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(n1,pv63)
& leq(pv10,minus(n135300,n1))
& leq(pv63,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv63)
& leq(pv10,minus(n135300,n1))
& leq(pv63,minus(n5,n1))
& ( ~ gt(a_select3(q,pv10,pv63),pv78)
=> ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ) )
& ( gt(a_select3(q,pv10,pv63),pv78)
=> ( leq(n0,pv10)
& leq(pv10,minus(n135300,n1)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
fof(f105,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f106,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f143,plain,
( ( ~ leq(n0,pv10)
| ~ leq(n0,pv63)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv63,minus(n5,n1))
| ( ( ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) )
& ~ gt(a_select3(q,pv10,pv63),pv78) )
| ( ( ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) )
& gt(a_select3(q,pv10,pv63),pv78) ) )
& leq(n0,pv10)
& leq(n1,pv63)
& leq(pv10,minus(n135300,n1))
& leq(pv63,minus(n5,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ( ~ leq(n0,pv10)
| ~ leq(n0,pv63)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv63,minus(n5,n1))
| ( ( ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) )
& ~ gt(a_select3(q,pv10,pv63),pv78) )
| ( ( ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) )
& gt(a_select3(q,pv10,pv63),pv78) ) )
& leq(n0,pv10)
& leq(n1,pv63)
& leq(pv10,minus(n135300,n1))
& leq(pv63,minus(n5,n1)) ),
inference(flattening,[],[f143]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f202,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f307,plain,
leq(pv63,minus(n5,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f308,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f144]) ).
fof(f309,plain,
leq(n1,pv63),
inference(cnf_transformation,[],[f144]) ).
fof(f310,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f144]) ).
fof(f314,plain,
( ~ leq(n0,pv10)
| ~ leq(n0,pv63)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv63,minus(n5,n1))
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f328,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f385,plain,
( ~ leq(n0,pv10)
| ~ leq(n0,pv63)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv63,minus(n5,n1)) ),
inference(duplicate_literal_removal,[],[f314]) ).
fof(f391,definition,
( spl31_2
<=> leq(pv63,minus(n5,n1)) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f395,definition,
( spl31_3
<=> leq(pv10,minus(n135300,n1)) ),
introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).
fof(f399,definition,
( spl31_4
<=> leq(n0,pv63) ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f401,plain,
( ~ leq(n0,pv63)
| spl31_4 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f403,definition,
( spl31_5
<=> leq(n0,pv10) ),
introduced(definition,[new_symbols(definition,[spl31_5])],[avatar_definition]) ).
fof(f408,plain,
( ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_5 ),
inference(avatar_split_clause,[],[f385,f403,f399,f395,f391]) ).
fof(f409,plain,
spl31_5,
inference(avatar_split_clause,[],[f310,f403]) ).
fof(f410,plain,
spl31_2,
inference(avatar_split_clause,[],[f307,f391]) ).
fof(f411,plain,
spl31_3,
inference(avatar_split_clause,[],[f308,f395]) ).
fof(f415,plain,
leq(n0,n1),
inference(resolution,[],[f202,f328]) ).
fof(f586,plain,
! [X0] :
( ~ leq(X0,n1)
| leq(X0,pv63) ),
inference(resolution,[],[f201,f309]) ).
fof(f1049,plain,
leq(n0,pv63),
inference(resolution,[],[f586,f415]) ).
fof(f1061,plain,
( $false
| spl31_4 ),
inference(forward_subsumption_resolution,[],[f1049,f401]) ).
fof(f1062,plain,
spl31_4,
inference(avatar_contradiction_clause,[],[f1061]) ).
cnf(s3,plain,
( ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_5 ),
inference(sat_conversion,[],[f408]) ).
cnf(s4,plain,
spl31_5,
inference(sat_conversion,[],[f409]) ).
cnf(s5,plain,
spl31_2,
inference(sat_conversion,[],[f410]) ).
cnf(s6,plain,
spl31_3,
inference(sat_conversion,[],[f411]) ).
cnf(s29,plain,
spl31_4,
inference(sat_conversion,[],[f1062]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s3,s4,s29,s6,s5]) ).
fof(f1063,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV067+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n011.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 09:48:30 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.22/0.30 % (3288148)Will run a generic schedule for satisfiability detection.
% 0.22/0.30 % (3288153)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1546187826_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.30 % (3288154)% WARNING: option uhcvi not known.
% 0.22/0.30 % (3288155)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=81049116:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.30 % (3288154)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2046263950:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.30 % (3288156)dis+10_1_sil=32000:sp=arity:random_seed=1639246774:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.30 % (3288157)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2766949776:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.30 % (3288159)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4212049075:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.30 % (3288158)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1348950813:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.30 % TRYING [1]
% 0.22/0.30 % TRYING [2]
% 0.22/0.30 % (3288156) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3288148-3288156"...
% 0.22/0.30 % (3288157) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3288148-3288157"...
% 0.22/0.30 % (3288156)...printing done.
% 0.22/0.30 % (3288157)...printing done.
% 0.22/0.30 % (3288156)Refutation found. Thanks to Tanya!
% 0.22/0.30 % SZS status Theorem for theBenchmark
% 0.22/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.30 % (3288156)------------------------------
% 0.22/0.30 % (3288156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (3288156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (3288156)CaDiCaL version: 2.1.3
% 0.22/0.30 % (3288156)Termination reason: Refutation
% 0.22/0.30 % (3288156)Time elapsed: 0.018 s
% 0.22/0.30 % (3288156)Peak memory usage: 13 MB
% 0.22/0.30 % (3288156)Instructions burned: 29 (million)
% 0.22/0.30 % (3288148)Success in time 0.059 s
% 0.22/0.30 % Vampire exiting
%------------------------------------------------------------------------------