%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN728-1 : 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 : n002.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 0.10s 0.26s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 7 unt; 4 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 61 ( 32 ~; 25 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( p(X0,X0)
| ~ p(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_1) ).
fof(f2,negated_conjecture,
! [X0] :
( m(X0)
| p(X0,sk1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_2) ).
fof(f3,negated_conjecture,
! [X0] :
( q(f(X0,sk1(X0)))
| p(X0,sk1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_3) ).
fof(f4,negated_conjecture,
! [X0] :
( ~ m(g(X0))
| ~ q(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_4) ).
fof(f5,negated_conjecture,
! [X0] :
( ~ p(sk2,sk2)
| ~ p(g(sk2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_5) ).
fof(f7,definition,
( spl0_1
<=> ! [X0] : ~ p(g(sk2),X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f8,plain,
( ! [X0] : ~ p(g(sk2),X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f7]) ).
fof(f10,definition,
( spl0_2
<=> p(sk2,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f12,plain,
( ~ p(sk2,sk2)
| spl0_2 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f13,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f5,f10,f7]) ).
fof(f15,definition,
( spl0_3
<=> ! [X2,X1] : ~ p(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f16,plain,
( ! [X2,X1] : ~ p(X1,X2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f18,definition,
( spl0_4
<=> ! [X0] : p(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f19,plain,
( ! [X0] : p(X0,X0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f20,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f1,f18,f15]) ).
fof(f21,plain,
( ! [X0] : m(X0)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f2,f16]) ).
fof(f22,plain,
( ! [X0] : ~ q(X0)
| ~ spl0_3 ),
inference(resolution,[],[f21,f4]) ).
fof(f23,plain,
( ! [X0] : q(f(X0,sk1(X0)))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f3,f16]) ).
fof(f24,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f23,f22]) ).
fof(f25,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f24]) ).
fof(f26,plain,
( $false
| spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f19,f12]) ).
fof(f27,plain,
( spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f26]) ).
fof(f28,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f8,f19]) ).
fof(f29,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f28]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f13]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f20]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f25]) ).
cnf(s4,plain,
( spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f27]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f29]) ).
cnf(s6,plain,
spl0_4,
inference(rat,[],[s2,s3]) ).
cnf(s7,plain,
~ spl0_1,
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
spl0_2,
inference(rat,[],[s4,s6]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s8,s7]) ).
fof(f30,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN728-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n002.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 16:52:22 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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
% 0.10/0.26 % (510400)Will run a generic schedule for satisfiability detection.
% 0.10/0.26 % (510408)dis+10_1_sil=32000:sp=arity:random_seed=991383424:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.26 % (510408) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-510400-510408"...
% 0.10/0.26 % (510408)...printing done.
% 0.10/0.26 % (510408)Refutation found. Thanks to Tanya!
% 0.10/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.26 % (510408)------------------------------
% 0.10/0.26 % (510408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26 % (510408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26 % (510408)CaDiCaL version: 2.1.3
% 0.10/0.26 % (510408)Termination reason: Refutation
% 0.10/0.26 % (510408)Time elapsed: 0.001 s
% 0.10/0.26 % (510408)Peak memory usage: 11 MB
% 0.10/0.26 % (510400)Success in time 0.026 s
% 0.10/0.26 % Vampire exiting
%------------------------------------------------------------------------------