%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN726-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 02:18:09 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 13 unt; 3 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 25 ~; 27 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X2,X1)
| ~ p(X0,X2)
| p(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( ~ q(X2,X1)
| ~ q(X0,X2)
| q(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ q(X1,X0)
| q(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( p(X0,X1)
| q(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_4) ).
fof(f5,negated_conjecture,
~ p(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_5) ).
fof(f6,negated_conjecture,
~ q(sk3,sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_6) ).
fof(f8,definition,
( spl0_1
<=> ! [X0,X1] : q(X0,X1) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f9,plain,
( ! [X0,X1] : q(X0,X1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f21,plain,
q(sk1,sk2),
inference(resolution,[],[f4,f5]) ).
fof(f22,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f9,f6]) ).
fof(f24,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f22]) ).
fof(f27,plain,
q(sk2,sk1),
inference(resolution,[],[f21,f3]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ p(X0,X1)
| p(X0,X2)
| q(X1,X2) ),
inference(resolution,[],[f1,f4]) ).
fof(f35,plain,
! [X0] :
( ~ q(X0,sk1)
| q(X0,sk2) ),
inference(resolution,[],[f2,f21]) ).
fof(f36,plain,
! [X0] :
( ~ q(X0,sk2)
| q(X0,sk1) ),
inference(resolution,[],[f2,f27]) ).
fof(f41,definition,
( spl0_6
<=> ! [X0] : q(X0,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f42,plain,
( ! [X0] : q(X0,sk2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f47,plain,
( ! [X0] : q(sk2,X0)
| ~ spl0_6 ),
inference(resolution,[],[f42,f3]) ).
fof(f48,plain,
( ! [X0,X1] :
( ~ q(X0,sk2)
| q(X0,X1) )
| ~ spl0_6 ),
inference(resolution,[],[f47,f2]) ).
fof(f51,plain,
( ! [X0,X1] : q(X0,X1)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f48,f42]) ).
fof(f52,plain,
( spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f51,f41,f8]) ).
fof(f59,definition,
( spl0_8
<=> ! [X0] : q(X0,sk1) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f60,plain,
( ! [X0] : q(X0,sk1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f67,plain,
( ! [X0] : q(X0,sk2)
| ~ spl0_8 ),
inference(resolution,[],[f60,f35]) ).
fof(f70,plain,
( spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f67,f59,f41]) ).
fof(f74,plain,
! [X2,X0,X1] :
( p(X0,X1)
| q(X2,X1)
| q(X0,X2) ),
inference(resolution,[],[f32,f4]) ).
fof(f75,plain,
! [X0] :
( q(X0,sk2)
| q(sk1,X0) ),
inference(resolution,[],[f74,f5]) ).
fof(f92,plain,
! [X0] :
( q(X0,sk2)
| q(X0,sk1) ),
inference(resolution,[],[f75,f3]) ).
fof(f93,plain,
! [X0] : q(X0,sk1),
inference(forward_subsumption_resolution,[],[f92,f36]) ).
fof(f100,plain,
spl0_8,
inference(avatar_split_clause,[],[f93,f59]) ).
cnf(s23,plain,
~ spl0_1,
inference(sat_conversion,[],[f24]) ).
cnf(s50,plain,
( spl0_1
| ~ spl0_6 ),
inference(sat_conversion,[],[f52]) ).
cnf(s64,plain,
( spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f70]) ).
cnf(s92,plain,
spl0_8,
inference(sat_conversion,[],[f100]) ).
cnf(s93,plain,
spl0_6,
inference(rat,[],[s64,s92]) ).
cnf(s94,plain,
spl0_1,
inference(rat,[],[s50,s93]) ).
cnf(s95,plain,
$false,
inference(rat,[],[s23,s94]) ).
fof(f101,plain,
$false,
inference(avatar_sat_refutation,[],[s95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN726-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n015.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 16:52:32 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 Running first-order model finding
% 0.10/0.24 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
% 0.22/0.28 % (2771084)Will run a generic schedule for satisfiability detection.
% 0.22/0.28 % (2771091)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1400820025:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.28 % (2771091) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2771084-2771091"...
% 0.22/0.28 % (2771091)...printing done.
% 0.22/0.28 % (2771091)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.28 % (2771091)------------------------------
% 0.22/0.28 % (2771091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (2771091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (2771091)CaDiCaL version: 2.1.3
% 0.22/0.28 % (2771091)Termination reason: Refutation
% 0.22/0.28 % (2771091)Time elapsed: 0.002 s
% 0.22/0.28 % (2771091)Peak memory usage: 12 MB
% 0.22/0.28 % (2771091)Instructions burned: 2 (million)
% 0.22/0.28 % (2771084)Success in time 0.026 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------