%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN223-1 : 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 : 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 02:07:03 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.36s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 49 ( 16 unt; 7 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 78 ( 37 ~; 34 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 8 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f128,axiom,
( p1(e,e,e)
| ~ r0(e)
| ~ k0(e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_090) ).
fof(f174,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).
fof(f175,axiom,
! [X2,X0,X1] :
( n2(X0)
| ~ p1(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f255,axiom,
! [X0] :
( l3(X0,X0)
| ~ n2(X0)
| ~ m2(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_217) ).
fof(f369,negated_conjecture,
! [X0] : ~ l3(X0,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f516,definition,
( spl0_38
<=> m2(b) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f591,definition,
( spl0_57
<=> n2(e) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f592,plain,
( n2(e)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f593,plain,
( ~ n2(e)
| spl0_57 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f692,definition,
( spl0_82
<=> ! [X0] :
( l3(X0,X0)
| ~ n2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f693,plain,
( ! [X0] :
( l3(X0,X0)
| ~ n2(X0) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f694,plain,
( ~ spl0_38
| spl0_82 ),
inference(avatar_split_clause,[],[f255,f692,f516]) ).
fof(f712,definition,
( spl0_87
<=> r0(e) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f994,definition,
( spl0_158
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f996,plain,
( ~ k1(b)
| spl0_158 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f997,plain,
( ~ spl0_158
| spl0_38 ),
inference(avatar_split_clause,[],[f174,f516,f994]) ).
fof(f1051,definition,
( spl0_172
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1097,definition,
( spl0_184
<=> p1(e,e,e) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1099,plain,
( p1(e,e,e)
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1100,plain,
( ~ spl0_172
| ~ spl0_87
| spl0_184 ),
inference(avatar_split_clause,[],[f128,f1097,f712,f1051]) ).
fof(f1283,plain,
spl0_172,
inference(avatar_split_clause,[],[f28,f1051]) ).
fof(f1288,plain,
spl0_87,
inference(avatar_split_clause,[],[f13,f712]) ).
fof(f1355,plain,
( ! [X0] : ~ n0(X0,b)
| spl0_158 ),
inference(resolution,[],[f996,f39]) ).
fof(f1370,plain,
( $false
| spl0_158 ),
inference(resolution,[],[f1355,f7]) ).
fof(f1375,plain,
spl0_158,
inference(avatar_contradiction_clause,[],[f1370]) ).
fof(f1452,plain,
( ! [X0,X1] : ~ p1(X0,X1,e)
| spl0_57 ),
inference(resolution,[],[f175,f593]) ).
fof(f1465,plain,
( ~ n2(e)
| ~ spl0_82 ),
inference(resolution,[],[f693,f369]) ).
fof(f1466,plain,
( $false
| spl0_57
| ~ spl0_184 ),
inference(resolution,[],[f1452,f1099]) ).
fof(f1467,plain,
( spl0_57
| ~ spl0_184 ),
inference(avatar_contradiction_clause,[],[f1466]) ).
fof(f1468,plain,
( $false
| ~ spl0_57
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f1465,f592]) ).
fof(f1469,plain,
( ~ spl0_57
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f1468]) ).
cnf(s36,plain,
( ~ spl0_38
| spl0_82 ),
inference(sat_conversion,[],[f694]) ).
cnf(s73,plain,
( spl0_38
| ~ spl0_158 ),
inference(sat_conversion,[],[f997]) ).
cnf(s90,plain,
( ~ spl0_87
| ~ spl0_172
| spl0_184 ),
inference(sat_conversion,[],[f1100]) ).
cnf(s123,plain,
spl0_172,
inference(sat_conversion,[],[f1283]) ).
cnf(s128,plain,
spl0_87,
inference(sat_conversion,[],[f1288]) ).
cnf(s167,plain,
spl0_158,
inference(sat_conversion,[],[f1375]) ).
cnf(s197,plain,
( spl0_57
| ~ spl0_184 ),
inference(sat_conversion,[],[f1467]) ).
cnf(s198,plain,
( ~ spl0_57
| ~ spl0_82 ),
inference(sat_conversion,[],[f1469]) ).
cnf(s234,plain,
spl0_184,
inference(rat,[],[s90,s123,s128]) ).
cnf(s235,plain,
spl0_57,
inference(rat,[],[s197,s234]) ).
cnf(s236,plain,
~ spl0_82,
inference(rat,[],[s198,s235]) ).
cnf(s257,plain,
spl0_38,
inference(rat,[],[s73,s167]) ).
cnf(s278,plain,
$false,
inference(rat,[],[s36,s236,s257]) ).
fof(f1470,plain,
$false,
inference(avatar_sat_refutation,[],[s278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN223-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 % Computer : n010.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 15:39:02 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.27 Running first-order model finding
% 0.08/0.27 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
% 0.25/0.36 % (2020027)Will run a generic schedule for satisfiability detection.
% 0.25/0.36 % (2020036)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3926739493:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.36 % (2020033)% WARNING: option uhcvi not known.
% 0.25/0.36 % (2020036) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2020027-2020036"...
% 0.25/0.36 % (2020033)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=224938846:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.36 % (2020032)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4076333844_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.36 % (2020034)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2574724015:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.25/0.36 % (2020036)...printing done.
% 0.25/0.36 % (2020035)dis+10_1_sil=32000:sp=arity:random_seed=2974193907:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.25/0.36 % (2020036)Refutation found. Thanks to Tanya!
% 0.25/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.36 % (2020036)------------------------------
% 0.25/0.36 % (2020036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (2020036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (2020036)CaDiCaL version: 2.1.3
% 0.25/0.36 % (2020036)Termination reason: Refutation
% 0.25/0.36 % (2020036)Time elapsed: 0.018 s
% 0.25/0.36 % (2020036)Peak memory usage: 13 MB
% 0.25/0.36 % (2020036)Instructions burned: 34 (million)
% 0.25/0.36 % (2020027)Success in time 0.075 s
% 0.25/0.36 % Vampire exiting
%------------------------------------------------------------------------------