%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI094_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 09:34:02 AM UTC 2026
% Result : Theorem 0.24s 0.32s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 24 ( 0 atm; 8 fun; 16 num; 0 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
p: $int > $o ).
tff(f1,conjecture,
( p($difference(5,3))
=> p(2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_5_3_2_predicate) ).
tff(f2,negated_conjecture,
~ ( p($difference(5,3))
=> p(2) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( p($sum(5,$uminus(3)))
=> p(2) ),
inference(theory_normalization,[],[f2]) ).
tff(f16,plain,
( ~ p(2)
& p($sum(5,$uminus(3))) ),
inference(ennf_transformation,[],[f3]) ).
tff(f17,plain,
p($sum(5,$uminus(3))),
inference(cnf_transformation,[],[f16]) ).
tff(f18,plain,
~ p(2),
inference(cnf_transformation,[],[f16]) ).
tff(f19,plain,
p(2),
inference(evaluation,[],[f17]) ).
tff(f20,plain,
$false,
inference(forward_subsumption_resolution,[],[f18,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI094_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 % Computer : n010.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 20:43:03 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.29 Running first-order model finding
% 0.24/0.29 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
% 0.24/0.32 % (2293643)Will run a generic schedule for satisfiability detection.
% 0.24/0.32 % (2293649)% WARNING: option uhcvi not known.
% 0.24/0.32 % (2293648)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2514319065_3000 on theBenchmark for (3000ds/0Mi)
% 0.24/0.32 % (2293652)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2302315795:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.24/0.32 % (2293649)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4230731781:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.24/0.32 % (2293650)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1390696559:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.24/0.32 % (2293651)dis+10_1_sil=32000:sp=arity:random_seed=190718222:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.24/0.32 % (2293648)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.24/0.32 % (2293648)Terminated due to inappropriate strategy.
% 0.24/0.32 % (2293648)------------------------------
% 0.24/0.32 % (2293648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (2293653)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1636241593:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.24/0.32 % (2293654)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3253441939:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.24/0.32 % (2293648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (2293648)CaDiCaL version: 2.1.3
% 0.24/0.32 % (2293648)Termination reason: Inappropriate
% 0.24/0.32 % (2293648)Time elapsed: 0.0000 s
% 0.24/0.32 % (2293648)Peak memory usage: 10 MB
% 0.24/0.32 % (2293652) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2293643-2293652"...
% 0.24/0.32 % (2293649) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2293643-2293649"...
% 0.24/0.32 % (2293650) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2293643-2293650"...
% 0.24/0.32 % (2293651) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2293643-2293651"...
% 0.24/0.32 % (2293648)------------------------------
% 0.24/0.32 % (2293648)------------------------------
% 0.24/0.32 % (2293653) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2293643-2293653"...
% 0.24/0.32 % (2293654) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2293643-2293654"...
% 0.24/0.32 % (2293652)...printing done.
% 0.24/0.32 % (2293649)...printing done.
% 0.24/0.32 % (2293650)...printing done.
% 0.24/0.32 % (2293651)...printing done.
% 0.24/0.32 % (2293653)...printing done.
% 0.24/0.32 % (2293654)...printing done.
% 0.24/0.32 % (2293652)Refutation found. Thanks to Tanya!
% 0.24/0.32 % SZS status Theorem for theBenchmark
% 0.24/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.32 % (2293652)------------------------------
% 0.24/0.32 % (2293652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (2293652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (2293652)CaDiCaL version: 2.1.3
% 0.24/0.32 % (2293652)Termination reason: Refutation
% 0.24/0.32 % (2293652)Time elapsed: 0.001 s
% 0.24/0.32 % (2293652)Peak memory usage: 11 MB
% 0.24/0.32 % (2293643)Success in time 0.024 s
% 0.24/0.32 % Vampire exiting
%------------------------------------------------------------------------------