%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV135+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:20:18 PM UTC 2026
% Result : Theorem 0.19s 0.30s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 64 ( 17 ~; 12 |; 31 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X0,X1)
& leq(X1,X2) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(f53,conjecture,
( ( leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3) )
=> leq(n0,pv1325) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0005) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3) )
=> leq(n0,pv1325) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_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,
( ~ leq(n0,pv1325)
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3) ),
inference(ennf_transformation,[],[f54]) ).
fof(f137,plain,
( ~ leq(n0,pv1325)
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3) ),
inference(flattening,[],[f136]) ).
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(f312,plain,
leq(n2,pv1325),
inference(cnf_transformation,[],[f137]) ).
fof(f316,plain,
~ leq(n0,pv1325),
inference(cnf_transformation,[],[f137]) ).
fof(f327,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f379,plain,
! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X0,X1)
| leq(X1,X2) ),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f380,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ gt(X1,X0) ),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f508,plain,
leq(n0,pv1325),
inference(consistent_polarity_flipping,[],[f316]) ).
fof(f512,plain,
~ leq(n2,pv1325),
inference(consistent_polarity_flipping,[],[f312]) ).
fof(f708,plain,
! [X0] :
( leq(n0,X0)
| leq(X0,pv1325) ),
inference(resolution,[],[f379,f508]) ).
fof(f748,plain,
leq(n0,n2),
inference(resolution,[],[f708,f512]) ).
fof(f753,plain,
~ gt(n2,n0),
inference(resolution,[],[f748,f380]) ).
fof(f754,plain,
$false,
inference(forward_subsumption_resolution,[],[f753,f327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV135+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 % Computer : n017.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 09:54:36 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.24 Running first-order model finding
% 0.07/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.30 % (3443581)Will run a generic schedule for satisfiability detection.
% 0.19/0.30 % (3443587)% WARNING: option uhcvi not known.
% 0.19/0.30 % (3443588)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2142608612:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.30 % (3443590)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3404331913:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.30 % (3443586)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3115421229_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.30 % (3443589)dis+10_1_sil=32000:sp=arity:random_seed=3423011386:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.30 % (3443587)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1493582136:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.30 % (3443591)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2274343565:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.30 % (3443592)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1322085528:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.30 % (3443587) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3443581-3443587"...
% 0.19/0.30 % (3443587)...printing done.
% 0.19/0.30 % (3443587)Refutation found. Thanks to Tanya!
% 0.19/0.30 % SZS status Theorem for theBenchmark
% 0.19/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.30 % (3443587)------------------------------
% 0.19/0.30 % (3443587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30 % (3443587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30 % (3443587)CaDiCaL version: 2.1.3
% 0.19/0.30 % (3443587)Termination reason: Refutation
% 0.19/0.30 % (3443587)Time elapsed: 0.013 s
% 0.19/0.30 % (3443587)Peak memory usage: 12 MB
% 0.19/0.30 % (3443587)Instructions burned: 21 (million)
% 0.19/0.30 % (3443581)Success in time 0.058 s
% 0.19/0.30 % Vampire exiting
%------------------------------------------------------------------------------