%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN060+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 : n006.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 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 16 ~; 11 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 15 ( 14 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ( big_f(X0)
| big_g(X0) )
=> ~ big_h(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel30_1) ).
fof(f2,axiom,
! [X0] :
( ( big_g(X0)
=> ~ big_i(X0) )
=> ( big_f(X0)
& big_h(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel30_2) ).
fof(f3,conjecture,
! [X0] : big_i(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel30) ).
fof(f4,negated_conjecture,
~ ! [X0] : big_i(X0),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X0] :
( ~ big_h(X0)
| ( ~ big_f(X0)
& ~ big_g(X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f6,plain,
! [X0] :
( ( big_f(X0)
& big_h(X0) )
| ( big_i(X0)
& big_g(X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7,plain,
? [X0] : ~ big_i(X0),
inference(ennf_transformation,[],[f4]) ).
fof(f8,plain,
~ big_i(sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f7]) ).
fof(f9,plain,
! [X0] :
( ~ big_h(X0)
| ~ big_g(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
! [X0] :
( ~ big_h(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
! [X0] :
( big_h(X0)
| big_i(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f13,plain,
! [X0] :
( big_f(X0)
| big_g(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
! [X0] :
( big_f(X0)
| big_i(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f15,plain,
~ big_i(sK0),
inference(cnf_transformation,[],[f8]) ).
fof(f16,plain,
! [X0] :
( big_h(X0)
| ~ big_f(X0) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f17,plain,
! [X0] :
( big_h(X0)
| ~ big_g(X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f18,plain,
! [X0] :
( ~ big_h(X0)
| big_i(X0) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f20,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f16,f17,f14,f13,f18,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN060+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n006.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:27:10 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.25 % (4052874)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (4052889)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=496182326_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.25 % Detected minimum model sizes of [1]
% 0.09/0.25 % Detected maximum model sizes of [1]
% 0.09/0.25 % TRYING [1]
% 0.09/0.25 % (4052889) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4052874-4052889"...
% 0.09/0.25 % (4052889)...printing done.
% 0.09/0.25 % (4052890)% WARNING: option uhcvi not known.
% 0.09/0.25 % (4052889)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (4052889)------------------------------
% 0.09/0.25 % (4052889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (4052889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (4052889)CaDiCaL version: 2.1.3
% 0.09/0.25 % (4052889)Termination reason: Refutation
% 0.09/0.25 % (4052889)Time elapsed: 0.001 s
% 0.09/0.25 % (4052889)Peak memory usage: 11 MB
% 0.09/0.25 % (4052874)Success in time 0.031 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------