%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV041+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 : n004.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 01:20:03 PM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 15 unt; 1 def)
% Number of atoms : 88 ( 15 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 76 ( 24 ~; 16 |; 26 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-3 aty)
% Number of variables : 30 ( 0 sgn 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
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,
( ( geq(minus(n330,n1),n0)
& geq(minus(n410,n1),n0) )
=> ! [X0] :
( ( leq(n0,X0)
& leq(X0,n2) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,minus(n0,n1)) )
=> a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,X0) = init ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0077) ).
fof(f54,negated_conjecture,
~ ( ( geq(minus(n330,n1),n0)
& geq(minus(n410,n1),n0) )
=> ! [X0] :
( ( leq(n0,X0)
& leq(X0,n2) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,minus(n0,n1)) )
=> a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,X0) = init ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f93,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n0) )
=> X0 = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f117,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f153,plain,
( ? [X0] :
( ? [X1] :
( a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,X0) != init
& leq(n0,X1)
& leq(X1,minus(n0,n1)) )
& leq(n0,X0)
& leq(X0,n2) )
& geq(minus(n330,n1),n0)
& geq(minus(n410,n1),n0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f154,plain,
( ? [X0] :
( ? [X1] :
( a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),X1,X0) != init
& leq(n0,X1)
& leq(X1,minus(n0,n1)) )
& leq(n0,X0)
& leq(X0,n2) )
& geq(minus(n330,n1),n0)
& geq(minus(n410,n1),n0) ),
inference(flattening,[],[f153]) ).
fof(f159,plain,
! [X0] :
( X0 = n0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f160,plain,
! [X0] :
( X0 = n0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(flattening,[],[f159]) ).
fof(f174,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f207,plain,
( init != a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),sK32,sK31)
& leq(n0,sK32)
& leq(sK32,minus(n0,n1))
& leq(n0,sK31)
& leq(sK31,n2)
& geq(minus(n330,n1),n0)
& geq(minus(n410,n1),n0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f154]) ).
fof(f210,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f214,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f216,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f299,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f323,plain,
leq(sK32,minus(n0,n1)),
inference(cnf_transformation,[],[f207]) ).
fof(f324,plain,
leq(n0,sK32),
inference(cnf_transformation,[],[f207]) ).
fof(f364,plain,
! [X0] :
( ~ leq(n0,X0)
| n0 = X0
| ~ leq(X0,n0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f374,plain,
! [X0,X1] :
( ~ leq(X0,minus(X1,n1))
| gt(X1,X0) ),
inference(definition_unfolding,[],[f216,f299]) ).
fof(f470,plain,
gt(n0,sK32),
inference(resolution,[],[f374,f323]) ).
fof(f472,plain,
leq(sK32,n0),
inference(resolution,[],[f470,f214]) ).
fof(f696,definition,
( spl33_5
<=> n0 = sK32 ),
introduced(definition,[new_symbols(definition,[spl33_5])],[avatar_definition]) ).
fof(f698,plain,
( n0 = sK32
| ~ spl33_5 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f753,plain,
( n0 = sK32
| ~ leq(sK32,n0) ),
inference(resolution,[],[f364,f324]) ).
fof(f757,plain,
n0 = sK32,
inference(forward_subsumption_resolution,[],[f753,f472]) ).
fof(f832,plain,
spl33_5,
inference(avatar_split_clause,[],[f757,f696]) ).
fof(f838,plain,
( gt(n0,n0)
| ~ spl33_5 ),
inference(superposition,[],[f470,f698]) ).
fof(f841,plain,
( $false
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f838,f210]) ).
fof(f842,plain,
~ spl33_5,
inference(avatar_contradiction_clause,[],[f841]) ).
cnf(s16,plain,
spl33_5,
inference(sat_conversion,[],[f832]) ).
cnf(s18,plain,
~ spl33_5,
inference(sat_conversion,[],[f842]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s16,s18]) ).
fof(f844,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV041+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n004.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 09:44:22 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 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
% 0.21/0.29 % (247423)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (247432)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1496401652:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % (247429)% WARNING: option uhcvi not known.
% 0.21/0.29 % (247428)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4113683898_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29 % (247429)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3307892347:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29 % (247430)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=486801393:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29 % (247431)dis+10_1_sil=32000:sp=arity:random_seed=1963518206:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29 % (247433)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=396934780:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % (247434)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3930055478:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29 % (247431) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-247423-247431"...
% 0.21/0.29 % (247431)...printing done.
% 0.21/0.29 % (247431)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (247431)------------------------------
% 0.21/0.29 % (247431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (247431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (247431)CaDiCaL version: 2.1.3
% 0.21/0.29 % (247431)Termination reason: Refutation
% 0.21/0.29 % (247431)Time elapsed: 0.013 s
% 0.21/0.29 % (247431)Peak memory usage: 13 MB
% 0.21/0.29 % (247431)Instructions burned: 21 (million)
% 0.21/0.29 % (247423)Success in time 0.048 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------