%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN259-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 02:07:08 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.31s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 14 unt; 5 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 26 ~; 21 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f117,axiom,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(e)
| ~ k1(X0)
| ~ l0(c) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_079) ).
fof(f369,negated_conjecture,
! [X0] : ~ p1(X0,d,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f559,definition,
( spl0_49
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f560,plain,
( n0(c,d)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f900,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1033,definition,
( spl0_168
<=> k1(d) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1034,plain,
( k1(d)
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1186,definition,
( spl0_205
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
fof(f1305,definition,
( spl0_234
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
fof(f1306,plain,
( ! [X0] :
( p1(X0,X0,X0)
| ~ k1(X0) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1307,plain,
( ~ spl0_134
| ~ spl0_205
| spl0_234 ),
inference(avatar_split_clause,[],[f117,f1305,f1186,f900]) ).
fof(f1554,plain,
spl0_49,
inference(avatar_split_clause,[],[f34,f559]) ).
fof(f1556,plain,
spl0_205,
inference(avatar_split_clause,[],[f28,f1186]) ).
fof(f1558,plain,
spl0_134,
inference(avatar_split_clause,[],[f24,f900]) ).
fof(f1628,plain,
( k1(d)
| ~ spl0_49 ),
inference(resolution,[],[f39,f560]) ).
fof(f1649,plain,
( spl0_168
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1628,f559,f1033]) ).
fof(f1788,plain,
( ~ k1(d)
| ~ spl0_234 ),
inference(resolution,[],[f1306,f369]) ).
fof(f1790,plain,
( $false
| ~ spl0_168
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f1788,f1034]) ).
fof(f1791,plain,
( ~ spl0_168
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f1790]) ).
cnf(s116,plain,
( ~ spl0_134
| ~ spl0_205
| spl0_234 ),
inference(sat_conversion,[],[f1307]) ).
cnf(s154,plain,
spl0_49,
inference(sat_conversion,[],[f1554]) ).
cnf(s156,plain,
spl0_205,
inference(sat_conversion,[],[f1556]) ).
cnf(s158,plain,
spl0_134,
inference(sat_conversion,[],[f1558]) ).
cnf(s206,plain,
( ~ spl0_49
| spl0_168 ),
inference(sat_conversion,[],[f1649]) ).
cnf(s259,plain,
( ~ spl0_168
| ~ spl0_234 ),
inference(sat_conversion,[],[f1791]) ).
cnf(s270,plain,
spl0_168,
inference(rat,[],[s206,s154]) ).
cnf(s271,plain,
~ spl0_234,
inference(rat,[],[s259,s270]) ).
cnf(s296,plain,
$false,
inference(rat,[],[s116,s271,s156,s158]) ).
fof(f1792,plain,
$false,
inference(avatar_sat_refutation,[],[s296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN259-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 % Computer : n007.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 15:36:56 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.25 Running first-order model finding
% 0.10/0.25 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
% 0.22/0.31 % (2503738)Will run a generic schedule for satisfiability detection.
% 0.22/0.31 % (2503758)dis+10_1_sil=32000:sp=arity:random_seed=1769639389:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.31 % (2503756)% WARNING: option uhcvi not known.
% 0.22/0.31 % (2503758) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2503738-2503758"...
% 0.22/0.31 % (2503754)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1912679060_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.31 % (2503756)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3504510545:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.31 % (2503758)...printing done.
% 0.22/0.31 % (2503757)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1529756988:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.31 % (2503760)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=229044364:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.31 % (2503759)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3115169384:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.31 % (2503758)Refutation found. Thanks to Tanya!
% 0.22/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.31 % (2503758)------------------------------
% 0.22/0.31 % (2503758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.31 % (2503758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.31 % (2503758)CaDiCaL version: 2.1.3
% 0.22/0.31 % (2503758)Termination reason: Refutation
% 0.22/0.31 % (2503758)Time elapsed: 0.007 s
% 0.22/0.31 % (2503758)Peak memory usage: 13 MB
% 0.22/0.31 % (2503758)Instructions burned: 16 (million)
% 0.22/0.31 % (2503738)Success in time 0.047 s
% 0.22/0.31 % Vampire exiting
%------------------------------------------------------------------------------