%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV189+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 : n017.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 01:20:25 PM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 14 unt; 1 def)
% Number of atoms : 94 ( 14 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 88 ( 32 ~; 26 |; 18 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-3 aty)
% Number of variables : 37 ( 0 sgn 33 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
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,
( ! [X0] :
( ( leq(n0,X0)
& leq(X0,n4) )
=> a_select3(center_init,X0,n0) = init )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,tptp_minus_1) )
=> ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> a_select3(q_init,X1,X2) = init ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0121) ).
fof(f54,negated_conjecture,
~ ( ! [X0] :
( ( leq(n0,X0)
& leq(X0,n4) )
=> a_select3(center_init,X0,n0) = init )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,tptp_minus_1) )
=> ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> a_select3(q_init,X1,X2) = init ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f58,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(f78,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n0) )
=> X0 = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f98,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f99,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f136,plain,
( ? [X1] :
( ? [X2] :
( init != a_select3(q_init,X1,X2)
& leq(n0,X2)
& leq(X2,n4) )
& leq(n0,X1)
& leq(X1,tptp_minus_1) )
& ! [X0] :
( a_select3(center_init,X0,n0) = init
| ~ leq(n0,X0)
| ~ leq(X0,n4) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f137,plain,
( ? [X1] :
( ? [X2] :
( init != a_select3(q_init,X1,X2)
& leq(n0,X2)
& leq(X2,n4) )
& leq(n0,X1)
& leq(X1,tptp_minus_1) )
& ! [X0] :
( a_select3(center_init,X0,n0) = init
| ~ leq(n0,X0)
| ~ leq(X0,n4) ) ),
inference(flattening,[],[f136]) ).
fof(f142,plain,
! [X0] :
( X0 = n0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f143,plain,
! [X0] :
( X0 = n0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(flattening,[],[f142]) ).
fof(f152,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f155,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f311,plain,
leq(sK31,tptp_minus_1),
inference(cnf_transformation,[],[f137]) ).
fof(f312,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f137]) ).
fof(f317,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f337,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| n0 = X0 ),
inference(cnf_transformation,[],[f143]) ).
fof(f393,plain,
leq(tptp_minus_1,n0),
inference(resolution,[],[f155,f317]) ).
fof(f449,definition,
( spl33_4
<=> leq(n0,tptp_minus_1) ),
introduced(definition,[new_symbols(definition,[spl33_4])],[avatar_definition]) ).
fof(f450,plain,
( leq(n0,tptp_minus_1)
| ~ spl33_4 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f451,plain,
( ~ leq(n0,tptp_minus_1)
| spl33_4 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f600,plain,
! [X0] :
( ~ leq(X0,sK31)
| leq(X0,tptp_minus_1) ),
inference(resolution,[],[f154,f311]) ).
fof(f636,plain,
( ~ leq(n0,tptp_minus_1)
| n0 = tptp_minus_1 ),
inference(resolution,[],[f337,f393]) ).
fof(f643,plain,
leq(n0,tptp_minus_1),
inference(resolution,[],[f600,f312]) ).
fof(f646,plain,
( $false
| spl33_4 ),
inference(forward_subsumption_resolution,[],[f643,f451]) ).
fof(f647,plain,
spl33_4,
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f648,plain,
( n0 = tptp_minus_1
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f636,f450]) ).
fof(f701,plain,
( gt(n0,n0)
| ~ spl33_4 ),
inference(superposition,[],[f317,f648]) ).
fof(f713,plain,
( $false
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f701,f152]) ).
fof(f714,plain,
~ spl33_4,
inference(avatar_contradiction_clause,[],[f713]) ).
cnf(s4,plain,
spl33_4,
inference(sat_conversion,[],[f647]) ).
cnf(s5,plain,
~ spl33_4,
inference(sat_conversion,[],[f714]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s4,s5]) ).
fof(f716,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV189+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n017.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 10:03:51 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
% 0.20/0.28 % (3447854)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (3447863)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2597964774:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (3447860)% WARNING: option uhcvi not known.
% 0.20/0.28 % (3447859)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2436946489_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % (3447860)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3937676375:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (3447861)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=51086695:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (3447862)dis+10_1_sil=32000:sp=arity:random_seed=3905643189:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (3447864)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2540720967:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (3447865)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3161156408:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % (3447863) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3447854-3447863"...
% 0.20/0.28 % (3447863)...printing done.
% 0.20/0.28 % (3447863)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (3447863)------------------------------
% 0.20/0.28 % (3447863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (3447863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (3447863)CaDiCaL version: 2.1.3
% 0.20/0.28 % (3447863)Termination reason: Refutation
% 0.20/0.28 % (3447863)Time elapsed: 0.012 s
% 0.20/0.28 % (3447863)Peak memory usage: 13 MB
% 0.20/0.28 % (3447863)Instructions burned: 35 (million)
% 0.20/0.28 % (3447854)Success in time 0.052 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------