%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV078+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 : n006.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 01:20:09 PM UTC 2026
% Result : Theorem 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 36 ( 8 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 40 ( 14 ~; 6 |; 14 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
true,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',ttrue) ).
fof(f53,conjecture,
( ( leq(n0,pv31)
& leq(pv31,minus(n5,n1)) )
=> ( ( n0 != pv70
=> ( leq(n0,pv31)
& leq(pv31,minus(n5,n1)) ) )
& ( n0 = pv70
=> true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0019) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv31)
& leq(pv31,minus(n5,n1)) )
=> ( ( n0 != pv70
=> ( leq(n0,pv31)
& leq(pv31,minus(n5,n1)) ) )
& ( n0 = pv70
=> true ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f135,plain,
( ( ( ( ~ leq(n0,pv31)
| ~ leq(pv31,minus(n5,n1)) )
& n0 != pv70 )
| ( ~ true
& n0 = pv70 ) )
& leq(n0,pv31)
& leq(pv31,minus(n5,n1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f136,plain,
( ( ( ( ~ leq(n0,pv31)
| ~ leq(pv31,minus(n5,n1)) )
& n0 != pv70 )
| ( ~ true
& n0 = pv70 ) )
& leq(n0,pv31)
& leq(pv31,minus(n5,n1)) ),
inference(flattening,[],[f135]) ).
fof(f298,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f300,plain,
leq(pv31,minus(n5,n1)),
inference(cnf_transformation,[],[f136]) ).
fof(f301,plain,
leq(n0,pv31),
inference(cnf_transformation,[],[f136]) ).
fof(f305,plain,
( ~ leq(n0,pv31)
| ~ leq(pv31,minus(n5,n1))
| ~ true ),
inference(cnf_transformation,[],[f136]) ).
fof(f369,plain,
$false,
inference(global_subsumption,[],[f298,f305,f301,f300]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV078+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n006.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 09:50:10 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.19/0.29 % (3856039)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (3856044)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2102052381_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (3856045)% WARNING: option uhcvi not known.
% 0.19/0.29 % (3856048)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=659253377:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (3856045)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=139327022:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (3856046)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1921092337:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (3856047)dis+10_1_sil=32000:sp=arity:random_seed=1355893292:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (3856049)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2359863315:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (3856050)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2525254699:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % (3856046) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3856039-3856046"...
% 0.19/0.29 % (3856047) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3856039-3856047"...
% 0.19/0.29 % (3856046)...printing done.
% 0.19/0.29 % (3856045) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3856039-3856045"...
% 0.19/0.29 % (3856047)...printing done.
% 0.19/0.29 % (3856046)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Theorem for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (3856046)------------------------------
% 0.19/0.29 % (3856046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (3856046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (3856046)CaDiCaL version: 2.1.3
% 0.19/0.29 % (3856046)Termination reason: Refutation
% 0.19/0.29 % (3856046)Time elapsed: 0.005 s
% 0.19/0.29 % (3856046)Peak memory usage: 11 MB
% 0.19/0.29 % (3856046)Instructions burned: 8 (million)
% 0.19/0.29 % (3856039)Success in time 0.055 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------