%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN061+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 : n008.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 02:06:37 PM UTC 2026
% Result : Theorem 0.25s 0.32s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 11 |; 6 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 16 ( 11 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
~ ? [X0] :
( big_f(X0)
& ( big_g(X0)
| big_h(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31_1) ).
fof(f2,axiom,
? [X0] :
( big_i(X0)
& big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31_2) ).
fof(f3,axiom,
! [X0] :
( ~ big_h(X0)
=> big_j(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31_3) ).
fof(f4,conjecture,
? [X0] :
( big_i(X0)
& big_j(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31) ).
fof(f5,negated_conjecture,
~ ? [X0] :
( big_i(X0)
& big_j(X0) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
~ ? [X0] :
( big_f(X0)
& big_h(X0) ),
inference(pure_predicate_removal,[],[f1]) ).
fof(f7,plain,
! [X0] :
( ~ big_f(X0)
| ~ big_h(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
! [X0] :
( big_j(X0)
| big_h(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f9,plain,
! [X0] :
( ~ big_i(X0)
| ~ big_j(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f10,plain,
( big_i(sK0)
& big_f(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f2]) ).
fof(f11,plain,
! [X0] :
( ~ big_f(X0)
| ~ big_h(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
big_f(sK0),
inference(cnf_transformation,[],[f10]) ).
fof(f13,plain,
big_i(sK0),
inference(cnf_transformation,[],[f10]) ).
fof(f14,plain,
! [X0] :
( big_j(X0)
| big_h(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0] :
( ~ big_i(X0)
| ~ big_j(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
! [X0] :
( ~ big_h(X0)
| big_f(X0) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f17,plain,
~ big_f(sK0),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f18,plain,
! [X0] :
( ~ big_j(X0)
| big_h(X0) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f19,plain,
! [X0] :
( big_j(X0)
| ~ big_i(X0) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f20,plain,
! [X0] :
( ~ big_i(X0)
| big_h(X0) ),
inference(resolution,[],[f18,f19]) ).
fof(f21,plain,
big_h(sK0),
inference(resolution,[],[f20,f13]) ).
fof(f22,plain,
big_f(sK0),
inference(resolution,[],[f21,f16]) ).
fof(f23,plain,
$false,
inference(resolution,[],[f22,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN061+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.25 % Computer : n008.cluster.edu
% 0.12/0.25 % Model : x86_64 x86_64
% 0.12/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.25 % Memory : 8046.5625MB
% 0.12/0.25 % OS : Linux 6.8.0-71-generic
% 0.12/0.25 % CPULimit : 300
% 0.12/0.25 % WCLimit : 300
% 0.12/0.25 % DateTime : Mon Sep 28 15:27:55 UTC 2026
% 0.12/0.25 % CPUTime :
% 0.12/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.28 Running first-order model finding
% 0.12/0.28 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
% 0.25/0.32 % (2337634)Will run a generic schedule for satisfiability detection.
% 0.25/0.32 % (2337645)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1165125996:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.25/0.32 % (2337645) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2337634-2337645"...
% 0.25/0.32 % (2337639)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2167826038_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.32 % (2337645)...printing done.
% 0.25/0.32 % Detected minimum model sizes of [1]
% 0.25/0.32 % Detected maximum model sizes of [1]
% 0.25/0.32 % TRYING [1]
% 0.25/0.32 % (2337639) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2337634-2337639"...
% 0.25/0.32 % (2337645)Refutation found. Thanks to Tanya!
% 0.25/0.32 % SZS status Theorem for theBenchmark
% 0.25/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.32 % (2337645)------------------------------
% 0.25/0.32 % (2337645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.32 % (2337645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.32 % (2337645)CaDiCaL version: 2.1.3
% 0.25/0.32 % (2337645)Termination reason: Refutation
% 0.25/0.32 % (2337645)Time elapsed: 0.001 s
% 0.25/0.32 % (2337645)Peak memory usage: 11 MB
% 0.25/0.32 % (2337634)Success in time 0.025 s
% 0.25/0.33 % Vampire exiting
%------------------------------------------------------------------------------