%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN958+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 02:22:57 PM UTC 2026
% Result : Theorem 0.11s 0.25s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 13 ~; 5 |; 14 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 23 ( 14 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ? [X0] : a(X0)
& ! [X0] : b(X0) )
=> ? [X0] :
( a(X0)
& b(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ( ? [X0] : a(X0)
& ! [X0] : b(X0) )
=> ? [X0] :
( a(X0)
& b(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ? [X0] : a(X0)
& ! [X1] : b(X1) )
=> ? [X2] :
( a(X2)
& b(X2) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ! [X2] :
( ~ a(X2)
| ~ b(X2) )
& ? [X0] : a(X0)
& ! [X1] : b(X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ! [X2] :
( ~ a(X2)
| ~ b(X2) )
& ? [X0] : a(X0)
& ! [X1] : b(X1) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ! [X0] :
( ~ a(X0)
| ~ b(X0) )
& ? [X1] : a(X1)
& ! [X2] : b(X2) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ! [X0] :
( ~ a(X0)
| ~ b(X0) )
& a(sK0)
& ! [X2] : b(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0)],[f6]) ).
fof(f8,plain,
! [X2] : b(X2),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
a(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X0] :
( ~ a(X0)
| ~ b(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X0] : ~ a(X0),
inference(global_subsumption,[],[f10,f8]) ).
fof(f12,plain,
$false,
inference(forward_subsumption_resolution,[],[f9,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN958+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.17 % Computer : n015.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Mon Sep 28 17:20:02 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.21 Running first-order model finding
% 0.11/0.21 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
% 0.11/0.25 % (2788890)Will run a generic schedule for satisfiability detection.
% 0.11/0.25 % (2788897)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3981735177:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.25 % (2788901)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3885961677:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.25 % (2788895)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=362224673_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.25 % (2788898)dis+10_1_sil=32000:sp=arity:random_seed=3239915934:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.25 % (2788896)% WARNING: option uhcvi not known.
% 0.11/0.25 % (2788899)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2060073612:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.25 % (2788900)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1139030839:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.25 % Detected minimum model sizes of [1]
% 0.11/0.25 % Detected maximum model sizes of [1]
% 0.11/0.25 % (2788897) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2788890-2788897"...
% 0.11/0.25 % (2788901) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2788890-2788901"...
% 0.11/0.25 % TRYING [1]
% 0.11/0.25 % (2788895) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2788890-2788895"...
% 0.11/0.25 % (2788898) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2788890-2788898"...
% 0.11/0.25 % (2788899) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2788890-2788899"...
% 0.11/0.25 % (2788900) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2788890-2788900"...
% 0.11/0.25 % (2788897)...printing done.
% 0.11/0.25 % (2788901)...printing done.
% 0.11/0.25 % (2788895)...printing done.
% 0.11/0.25 % (2788898)...printing done.
% 0.11/0.25 % (2788899)...printing done.
% 0.11/0.25 % (2788900)...printing done.
% 0.11/0.25 % (2788897)Refutation found. Thanks to Tanya!
% 0.11/0.25 % SZS status Theorem for theBenchmark
% 0.11/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.25 % (2788897)------------------------------
% 0.11/0.25 % (2788897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.25 % (2788897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.25 % (2788897)CaDiCaL version: 2.1.3
% 0.11/0.25 % (2788897)Termination reason: Refutation
% 0.11/0.25 % (2788897)Time elapsed: 0.001 s
% 0.11/0.25 % (2788897)Peak memory usage: 11 MB
% 0.11/0.25 % (2788890)Success in time 0.04 s
% 0.11/0.25 % Vampire exiting
%------------------------------------------------------------------------------