%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN053-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 02:06:34 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 2 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 23 ( 9 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( p
| big_f(X0)
| big_f(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0] :
( p
| big_f(X0)
| big_f(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
~ p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X0] :
( ~ big_f(a)
| p
| big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
( ~ big_f(a)
| ~ big_f(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,plain,
! [X0,X1] :
( p
| ~ big_f(X0)
| ~ big_f(X1) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f7,plain,
! [X0] :
( p
| ~ big_f(X0)
| ~ big_f(b) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f8,plain,
! [X0] :
( big_f(a)
| p
| ~ big_f(X0) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f9,plain,
( big_f(a)
| big_f(b) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f21,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f6,f7,f3,f8,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN053-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n016.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:31:03 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.07/0.26 % (3707592)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (3707597)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4102860295_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.26 % Detected minimum model sizes of [1]
% 0.07/0.26 % Detected maximum model sizes of [2]
% 0.07/0.26 % TRYING [1]
% 0.07/0.26 % TRYING [2]
% 0.07/0.26 % (3707597) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3707592-3707597"...
% 0.07/0.26 % (3707597)...printing done.
% 0.07/0.26 % (3707597)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26 % (3707597)------------------------------
% 0.07/0.26 % (3707597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (3707597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (3707597)CaDiCaL version: 2.1.3
% 0.07/0.26 % (3707597)Termination reason: Refutation
% 0.07/0.26 % (3707597)Time elapsed: 0.001 s
% 0.07/0.26 % (3707597)Peak memory usage: 11 MB
% 0.07/0.26 % (3707592)Success in time 0.029 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------