%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN051+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 02:06:33 PM UTC 2026
% Result : Theorem 0.09s 0.14s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 1 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 15 ~; 14 |; 1 &)
% ( 2 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 12 ( 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
( p
=> big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel21_1) ).
fof(f2,axiom,
? [X0] :
( big_f(X0)
=> p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel21_2) ).
fof(f3,conjecture,
? [X0] :
( p
<=> big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel21) ).
fof(f4,negated_conjecture,
~ ? [X0] :
( p
<=> big_f(X0) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
? [X0] :
( big_f(X0)
| ~ p ),
inference(ennf_transformation,[],[f1]) ).
fof(f6,plain,
? [X0] :
( p
| ~ big_f(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7,plain,
! [X0] :
( p
<~> big_f(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f8,plain,
( big_f(sK0)
| ~ p ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f5]) ).
fof(f9,plain,
( p
| ~ big_f(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f6]) ).
fof(f10,plain,
! [X0] :
( ( ~ big_f(X0)
| ~ p )
& ( big_f(X0)
| p ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f11,plain,
( big_f(sK0)
| ~ p ),
inference(cnf_transformation,[],[f8]) ).
fof(f12,plain,
( p
| ~ big_f(sK1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
! [X0] :
( big_f(X0)
| p ),
inference(cnf_transformation,[],[f10]) ).
fof(f14,plain,
! [X0] :
( ~ big_f(X0)
| ~ p ),
inference(cnf_transformation,[],[f10]) ).
fof(f15,plain,
( big_f(sK0)
| p ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f16,plain,
( ~ p
| ~ big_f(sK1) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f17,plain,
! [X0] :
( ~ big_f(X0)
| p ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f18,plain,
! [X0] :
( big_f(X0)
| ~ p ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f21,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f15,f16,f17,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN051+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 15:26:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.12 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
% 0.09/0.14 % (3454712)Will run a generic schedule for satisfiability detection.
% 0.09/0.14 % (3454725)% WARNING: option uhcvi not known.
% 0.09/0.14 % (3454725)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1432939401:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.09/0.14 % (3454726)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1041142564:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.09/0.14 % (3454724)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3433314556_3000 on theBenchmark for (3000ds/0Mi)
% 0.09/0.14 % (3454727)dis+10_1_sil=32000:sp=arity:random_seed=284020518:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.09/0.14 % (3454728)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=432874461:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.09/0.14 % (3454729)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3389444449:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.09/0.14 % (3454730)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3280291012:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.09/0.14 % Detected minimum model sizes of [1]
% 0.09/0.14 % Detected maximum model sizes of [2]
% 0.09/0.14 % TRYING [1]
% 0.09/0.14 % TRYING [2]
% 0.09/0.14 % (3454726) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3454712-3454726"...
% 0.09/0.14 % (3454724) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3454712-3454724"...
% 0.09/0.14 % (3454725) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3454712-3454725"...
% 0.09/0.14 % (3454727) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3454712-3454727"...
% 0.09/0.14 % (3454728) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3454712-3454728"...
% 0.09/0.14 % (3454729) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3454712-3454729"...
% 0.09/0.14 % (3454730) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3454712-3454730"...
% 0.09/0.14 % (3454724)...printing done.
% 0.09/0.14 % (3454726)...printing done.
% 0.09/0.14 % (3454725)...printing done.
% 0.09/0.14 % (3454728)...printing done.
% 0.09/0.14 % (3454727)...printing done.
% 0.09/0.14 % (3454729)...printing done.
% 0.09/0.14 % (3454730)...printing done.
% 0.09/0.14 % (3454724)Refutation found. Thanks to Tanya!
% 0.09/0.14 % SZS status Theorem for theBenchmark
% 0.09/0.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.14 % (3454724)------------------------------
% 0.09/0.14 % (3454724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.14 % (3454724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.14 % (3454724)CaDiCaL version: 2.1.3
% 0.09/0.14 % (3454724)Termination reason: Refutation
% 0.09/0.14 % (3454724)Time elapsed: 0.001 s
% 0.09/0.14 % (3454724)Peak memory usage: 11 MB
% 0.09/0.14 % (3454712)Success in time 0.013 s
% 0.09/0.14 % Vampire exiting
%------------------------------------------------------------------------------