%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN318-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 02:07:17 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 8 unt; 2 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( ~ f(X0)
| ~ f(b)
| g(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f3,negated_conjecture,
! [X0] : f(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
~ g(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f6,definition,
( spl0_1
<=> f(b) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f8,plain,
( ~ f(b)
| spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f10,definition,
( spl0_2
<=> ! [X0] :
( ~ f(X0)
| g(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f11,plain,
( ! [X0] :
( ~ f(X0)
| g(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f12,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1,f10,f6]) ).
fof(f13,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f8,f3]) ).
fof(f14,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f13]) ).
fof(f15,plain,
( ! [X0] : g(X0)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f11,f3]) ).
fof(f16,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f15,f4]) ).
fof(f17,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f16]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f12]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f14]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f17]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f18,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN318-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:45:21 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.09/0.26 % (2735248)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (2735256)dis+10_1_sil=32000:sp=arity:random_seed=276004692:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (2735256) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2735248-2735256"...
% 0.09/0.26 % (2735256)...printing done.
% 0.09/0.26 % (2735256)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (2735256)------------------------------
% 0.09/0.26 % (2735256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (2735256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (2735256)CaDiCaL version: 2.1.3
% 0.09/0.26 % (2735256)Termination reason: Refutation
% 0.09/0.26 % (2735256)Time elapsed: 0.001 s
% 0.09/0.26 % (2735256)Peak memory usage: 11 MB
% 0.09/0.26 % (2735248)Success in time 0.025 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------