%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN081+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 02:06:43 PM UTC 2026
% Result : Theorem 0.08s 0.15s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 4 |; 2 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 9 ( 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( big_f(X0)
<=> ~ big_f(f(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel59_1) ).
fof(f2,conjecture,
? [X0] :
( big_f(X0)
& ~ big_f(f(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel59) ).
fof(f3,negated_conjecture,
~ ? [X0] :
( big_f(X0)
& ~ big_f(f(X0)) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
! [X0] :
( ~ big_f(X0)
| big_f(f(X0)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
! [X0] :
( big_f(f(X0))
| big_f(X0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f6,plain,
! [X0] :
( ~ big_f(f(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0] :
( big_f(f(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
! [X0] : big_f(f(X0)),
inference(forward_subsumption_resolution,[],[f5,f7]) ).
fof(f9,plain,
! [X0] : ~ big_f(X0),
inference(forward_subsumption_resolution,[],[f6,f7]) ).
fof(f10,plain,
$false,
inference(resolution,[],[f8,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN081+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 15:32:04 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 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
% 0.08/0.15 % (3457160)Will run a generic schedule for satisfiability detection.
% 0.08/0.15 % (3457166)% WARNING: option uhcvi not known.
% 0.08/0.15 % (3457165)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=511969611_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.15 % (3457169)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=235069579:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.15 % (3457166)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2773835754:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.15 % (3457167)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=256680402:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.15 % (3457171)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2143231039:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.15 % (3457168)dis+10_1_sil=32000:sp=arity:random_seed=2150973494:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.15 % (3457170)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2346898390:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.15 % TRYING [1]
% 0.08/0.15 % (3457169) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3457160-3457169"...
% 0.08/0.15 % (3457168) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3457160-3457168"...
% 0.08/0.15 % (3457166) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3457160-3457166"...
% 0.08/0.15 % (3457167) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3457160-3457167"...
% 0.08/0.15 % (3457171) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3457160-3457171"...
% 0.08/0.15 % TRYING [2]
% 0.08/0.15 % TRYING [3]
% 0.08/0.15 % (3457170) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3457160-3457170"...
% 0.08/0.15 % (3457165) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3457160-3457165"...
% 0.08/0.15 % (3457169)...printing done.
% 0.08/0.15 % (3457168)...printing done.
% 0.08/0.15 % (3457166)...printing done.
% 0.08/0.15 % (3457171)...printing done.
% 0.08/0.15 % (3457167)...printing done.
% 0.08/0.15 % (3457170)...printing done.
% 0.08/0.15 % (3457165)...printing done.
% 0.08/0.15 % (3457169)Refutation found. Thanks to Tanya!
% 0.08/0.15 % SZS status Theorem for theBenchmark
% 0.08/0.15 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.15 % (3457169)------------------------------
% 0.08/0.15 % (3457169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.15 % (3457169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.15 % (3457169)CaDiCaL version: 2.1.3
% 0.08/0.15 % (3457169)Termination reason: Refutation
% 0.08/0.15 % (3457169)Time elapsed: 0.0000 s
% 0.08/0.15 % (3457169)Peak memory usage: 11 MB
% 0.08/0.15 % (3457160)Success in time 0.022 s
% 0.08/0.15 % Vampire exiting
%------------------------------------------------------------------------------