%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN264-1 : 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 02:07:09 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 15 unt; 5 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 35 ~; 28 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f101,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ n0(d,X0)
| p1(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_063) ).
fof(f109,axiom,
! [X2,X3,X0,X1] :
( p1(X0,X1,X0)
| ~ l0(X2)
| ~ p1(X1,X3,X0)
| ~ s0(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_071) ).
fof(f369,negated_conjecture,
~ p1(e,c,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f1035,definition,
( spl0_168
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1051,definition,
( spl0_172
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1052,plain,
( k0(e)
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1086,definition,
( spl0_181
<=> ! [X1] : ~ l0(X1) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
fof(f1087,plain,
( ! [X1] : ~ l0(X1)
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f1102,definition,
( spl0_185
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
fof(f1103,plain,
( l0(a)
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1147,definition,
( spl0_196
<=> ! [X0,X1,X3] :
( p1(X0,X1,X0)
| ~ p1(X1,X3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
fof(f1148,plain,
( ! [X3,X0,X1] :
( p1(X0,X1,X0)
| ~ p1(X1,X3,X0) )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f1149,plain,
( ~ spl0_168
| spl0_181
| spl0_196 ),
inference(avatar_split_clause,[],[f109,f1147,f1086,f1035]) ).
fof(f1283,plain,
spl0_172,
inference(avatar_split_clause,[],[f28,f1051]) ).
fof(f1287,plain,
spl0_185,
inference(avatar_split_clause,[],[f20,f1102]) ).
fof(f1292,plain,
spl0_168,
inference(avatar_split_clause,[],[f5,f1035]) ).
fof(f1303,plain,
( $false
| ~ spl0_181
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f1103,f1087]) ).
fof(f1304,plain,
( ~ spl0_181
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f1303]) ).
fof(f1857,plain,
( ! [X0] :
( ~ n0(d,X0)
| p1(X0,X0,e) )
| ~ spl0_172 ),
inference(resolution,[],[f101,f1052]) ).
fof(f1876,plain,
( p1(c,c,e)
| ~ spl0_172 ),
inference(resolution,[],[f1857,f26]) ).
fof(f1889,plain,
( p1(e,c,e)
| ~ spl0_172
| ~ spl0_196 ),
inference(resolution,[],[f1876,f1148]) ).
fof(f1890,plain,
( $false
| ~ spl0_172
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f1889,f369]) ).
fof(f1891,plain,
( ~ spl0_172
| ~ spl0_196 ),
inference(avatar_contradiction_clause,[],[f1890]) ).
cnf(s99,plain,
( ~ spl0_168
| spl0_181
| spl0_196 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s123,plain,
spl0_172,
inference(sat_conversion,[],[f1283]) ).
cnf(s127,plain,
spl0_185,
inference(sat_conversion,[],[f1287]) ).
cnf(s132,plain,
spl0_168,
inference(sat_conversion,[],[f1292]) ).
cnf(s138,plain,
( ~ spl0_181
| ~ spl0_185 ),
inference(sat_conversion,[],[f1304]) ).
cnf(s242,plain,
( ~ spl0_172
| ~ spl0_196 ),
inference(sat_conversion,[],[f1891]) ).
cnf(s254,plain,
~ spl0_181,
inference(rat,[],[s138,s127]) ).
cnf(s255,plain,
~ spl0_196,
inference(rat,[],[s242,s123]) ).
cnf(s275,plain,
$false,
inference(rat,[],[s99,s255,s254,s132]) ).
fof(f1893,plain,
$false,
inference(avatar_sat_refutation,[],[s275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN264-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n010.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:40:37 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.25 % (2022679)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (2022693)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=722666705:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.25 % (2022690)% WARNING: option uhcvi not known.
% 0.09/0.25 % (2022689)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=223418049_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.25 % (2022691)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=680521339:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.25 % (2022694)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1984950365:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.25 % (2022692)dis+10_1_sil=32000:sp=arity:random_seed=1286196988:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.25 % (2022695)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=427909881:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.25 % (2022690)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2850404032:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.25 % (2022693) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2022679-2022693"...
% 0.09/0.25 % (2022693)...printing done.
% 0.09/0.25 % (2022693)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (2022693)------------------------------
% 0.09/0.25 % (2022693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (2022693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (2022693)CaDiCaL version: 2.1.3
% 0.09/0.25 % (2022693)Termination reason: Refutation
% 0.09/0.25 % (2022693)Time elapsed: 0.014 s
% 0.09/0.25 % (2022693)Peak memory usage: 13 MB
% 0.09/0.25 % (2022693)Instructions burned: 43 (million)
% 0.09/0.25 % (2022679)Success in time 0.036 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------