%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN977+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 02:22:59 PM UTC 2026
% Result : Theorem 0.20s 0.26s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 8 unt; 2 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 41 ( 17 ~; 11 |; 8 &)
% ( 4 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 5 ( 4 usr; 5 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( a
<=> b )
| a
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ( a
<=> b )
| a
| b ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( a
<~> b )
& ~ a
& ~ b ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ( ~ b
| ~ a )
& ( b
| a )
& ~ a
& ~ b ),
inference(nnf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ~ b
| ~ a )
& ( b
| a )
& ~ a
& ~ b ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
~ b,
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
~ a,
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
( b
| a ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,definition,
( spl0_1
<=> a ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f15,definition,
( spl0_2
<=> b ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f18,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f15,f11]) ).
fof(f20,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f6,f15]) ).
fof(f21,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f7,f11]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f18]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f20]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f21]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
fof(f22,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN977+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 17:19:06 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.20/0.26 % (1928776)Will run a generic schedule for satisfiability detection.
% 0.20/0.26 % (1928784)dis+10_1_sil=32000:sp=arity:random_seed=2146747344:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.26 % (1928784) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1928776-1928784"...
% 0.20/0.26 % (1928784)...printing done.
% 0.20/0.26 % (1928782)% WARNING: option uhcvi not known.
% 0.20/0.26 % (1928784)Refutation found. Thanks to Tanya!
% 0.20/0.26 % SZS status Theorem for theBenchmark
% 0.20/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.26 % (1928784)------------------------------
% 0.20/0.26 % (1928784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.26 % (1928784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.26 % (1928784)CaDiCaL version: 2.1.3
% 0.20/0.26 % (1928784)Termination reason: Refutation
% 0.20/0.26 % (1928784)Time elapsed: 0.001 s
% 0.20/0.26 % (1928784)Peak memory usage: 12 MB
% 0.20/0.26 % (1928776)Success in time 0.029 s
% 0.20/0.26 % Vampire exiting
%------------------------------------------------------------------------------