%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN169-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 02:06:56 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.32s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 18 unt; 5 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 34 ~; 29 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f117,axiom,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(e)
| ~ k1(X0)
| ~ l0(c) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_079) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f282,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ p3(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f383,plain,
~ l0(c),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f386,plain,
~ k0(e),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f390,plain,
~ n0(c,d),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f394,plain,
! [X0,X1] :
( n0(X1,X0)
| k1(X0) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f462,plain,
! [X0] :
( p1(X0,X0,X0)
| k0(e)
| ~ k1(X0)
| l0(c) ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f857,definition,
( spl0_49
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f858,plain,
( ~ n0(c,d)
| spl0_49 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f1198,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1331,definition,
( spl0_168
<=> k1(d) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1332,plain,
( k1(d)
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1484,definition,
( spl0_205
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
fof(f1603,definition,
( spl0_234
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
fof(f1604,plain,
( ! [X0] :
( p1(X0,X0,X0)
| ~ k1(X0) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f1603]) ).
fof(f1605,plain,
( spl0_134
| spl0_205
| spl0_234 ),
inference(avatar_split_clause,[],[f462,f1603,f1484,f1198]) ).
fof(f1852,plain,
~ spl0_49,
inference(avatar_split_clause,[],[f390,f857]) ).
fof(f1854,plain,
~ spl0_205,
inference(avatar_split_clause,[],[f386,f1484]) ).
fof(f1856,plain,
~ spl0_134,
inference(avatar_split_clause,[],[f383,f1198]) ).
fof(f1935,plain,
( k1(d)
| spl0_49 ),
inference(resolution,[],[f394,f858]) ).
fof(f1936,plain,
( spl0_168
| spl0_49 ),
inference(avatar_split_clause,[],[f1935,f857,f1331]) ).
fof(f1995,plain,
~ n2(d),
inference(resolution,[],[f282,f369]) ).
fof(f2051,plain,
( ! [X0] :
( n2(X0)
| ~ k1(X0) )
| ~ spl0_234 ),
inference(resolution,[],[f1604,f175]) ).
fof(f2055,plain,
( ~ k1(d)
| ~ spl0_234 ),
inference(resolution,[],[f2051,f1995]) ).
fof(f2056,plain,
( $false
| ~ spl0_168
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f2055,f1332]) ).
fof(f2057,plain,
( ~ spl0_168
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f2056]) ).
cnf(s116,plain,
( spl0_134
| spl0_205
| spl0_234 ),
inference(sat_conversion,[],[f1605]) ).
cnf(s154,plain,
~ spl0_49,
inference(sat_conversion,[],[f1852]) ).
cnf(s156,plain,
~ spl0_205,
inference(sat_conversion,[],[f1854]) ).
cnf(s158,plain,
~ spl0_134,
inference(sat_conversion,[],[f1856]) ).
cnf(s197,plain,
( spl0_49
| spl0_168 ),
inference(sat_conversion,[],[f1936]) ).
cnf(s248,plain,
( ~ spl0_168
| ~ spl0_234 ),
inference(sat_conversion,[],[f2057]) ).
cnf(s257,plain,
spl0_168,
inference(rat,[],[s197,s154]) ).
cnf(s258,plain,
~ spl0_234,
inference(rat,[],[s248,s257]) ).
cnf(s283,plain,
$false,
inference(rat,[],[s116,s258,s156,s158]) ).
fof(f2058,plain,
$false,
inference(avatar_sat_refutation,[],[s283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN169-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 % Computer : n010.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 15:37:48 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 Running first-order model finding
% 0.10/0.27 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
% 0.26/0.32 % (2015758)Will run a generic schedule for satisfiability detection.
% 0.26/0.32 % (2015764)% WARNING: option uhcvi not known.
% 0.26/0.32 % (2015764)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3913542873:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.32 % (2015763)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=585566064_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.32 % (2015764) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2015758-2015764"...
% 0.26/0.32 % (2015764)...printing done.
% 0.26/0.32 % (2015764)Refutation found. Thanks to Tanya!
% 0.26/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.33 % (2015764)------------------------------
% 0.26/0.33 % (2015764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.33 % (2015764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.33 % (2015764)CaDiCaL version: 2.1.3
% 0.26/0.33 % (2015764)Termination reason: Refutation
% 0.26/0.33 % (2015764)Time elapsed: 0.012 s
% 0.26/0.33 % (2015764)Peak memory usage: 13 MB
% 0.26/0.33 % (2015764)Instructions burned: 17 (million)
% 0.26/0.33 % (2015758)Success in time 0.043 s
% 0.26/0.33 % Vampire exiting
%------------------------------------------------------------------------------