%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN960+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 : n017.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 02:22:57 PM UTC 2026
% Result : Theorem 0.10s 0.27s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 5 unt; 3 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 23 ~; 17 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 8 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ? [X0,X1] : a(X0,X1)
<=> ? [X1,X0] : a(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ? [X0,X1] : a(X0,X1)
<=> ? [X1,X0] : a(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ? [X0,X1] : a(X0,X1)
<=> ? [X2,X3] : a(X3,X2) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X0,X1] : a(X0,X1)
<~> ? [X2,X3] : a(X3,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( a(sK3,sK2)
| a(sK0,sK1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X2,X3,X0,X1] :
( ~ a(X3,X2)
| ~ a(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f8,definition,
( spl4_1
<=> a(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f10,plain,
( a(sK0,sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f12,definition,
( spl4_2
<=> a(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f14,plain,
( a(sK3,sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f15,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f5,f12,f8]) ).
fof(f17,definition,
( spl4_3
<=> ! [X0,X1] : ~ a(X0,X1) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f18,plain,
( ! [X0,X1] : ~ a(X0,X1)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f19,plain,
( spl4_3
| spl4_3 ),
inference(avatar_split_clause,[],[f6,f17,f17]) ).
fof(f20,plain,
( $false
| ~ spl4_2
| ~ spl4_3 ),
inference(resolution,[],[f18,f14]) ).
fof(f21,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f20]) ).
fof(f22,plain,
( $false
| ~ spl4_1
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f10,f18]) ).
fof(f23,plain,
( ~ spl4_1
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f22]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f15]) ).
cnf(s2,plain,
( spl4_3
| spl4_3 ),
inference(sat_conversion,[],[f19]) ).
cnf(s3,plain,
spl4_3,
inference(rat,[],[s2]) ).
cnf(s4,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(sat_conversion,[],[f21]) ).
cnf(s5,plain,
( ~ spl4_1
| ~ spl4_3 ),
inference(sat_conversion,[],[f23]) ).
cnf(s6,plain,
~ spl4_1,
inference(rat,[],[s5,s3]) ).
cnf(s7,plain,
~ spl4_2,
inference(rat,[],[s4,s3]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s7,s6]) ).
fof(f24,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN960+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n017.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 17:12:07 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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
% 0.10/0.27 % (3722605)Will run a generic schedule for satisfiability detection.
% 0.10/0.27 % (3722614)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=925294230:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.27 % (3722614) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3722605-3722614"...
% 0.10/0.27 % (3722614)...printing done.
% 0.10/0.27 % (3722614)Refutation found. Thanks to Tanya!
% 0.10/0.27 % SZS status Theorem for theBenchmark
% 0.10/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.27 % (3722614)------------------------------
% 0.10/0.27 % (3722614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.27 % (3722614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.27 % (3722614)CaDiCaL version: 2.1.3
% 0.10/0.27 % (3722614)Termination reason: Refutation
% 0.10/0.27 % (3722614)Time elapsed: 0.001 s
% 0.10/0.27 % (3722614)Peak memory usage: 12 MB
% 0.10/0.27 % (3722605)Success in time 0.038 s
% 0.10/0.27 % Vampire exiting
%------------------------------------------------------------------------------