%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN233-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:49:58 PM UTC 2026
% Result : Unsatisfiable 2.77s 1.16s
% Output : Refutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 49 ( 17 unt; 7 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 72 ( 34 ~; 31 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f128,axiom,
( p1(e,e,e)
| ~ r0(e)
| ~ k0(e) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_090) ).
fof(f174,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_136) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f255,axiom,
! [X0] :
( l3(X0,X0)
| ~ n2(X0)
| ~ m2(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_217) ).
fof(f369,negated_conjecture,
! [X0] : ~ l3(e,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f569,definition,
( spl0_58
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f570,plain,
( ~ k0(e)
| spl0_58 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f726,definition,
( spl0_102
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f727,plain,
( ~ k1(b)
| spl0_102 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f729,definition,
( spl0_103
<=> m2(b) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f731,plain,
( ~ spl0_102
| spl0_103 ),
inference(avatar_split_clause,[],[f174,f729,f726]) ).
fof(f785,definition,
( spl0_119
<=> r0(e) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f786,plain,
( ~ r0(e)
| spl0_119 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f830,definition,
( spl0_132
<=> n2(e) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f1011,definition,
( spl0_182
<=> p1(e,e,e) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
fof(f1012,plain,
( p1(e,e,e)
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1013,plain,
( ~ spl0_58
| ~ spl0_119
| spl0_182 ),
inference(avatar_split_clause,[],[f128,f1011,f785,f569]) ).
fof(f1307,definition,
( spl0_265
<=> ! [X0] :
( l3(X0,X0)
| ~ n2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
fof(f1308,plain,
( ! [X0] :
( l3(X0,X0)
| ~ n2(X0) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f1309,plain,
( ~ spl0_103
| spl0_265 ),
inference(avatar_split_clause,[],[f255,f1307,f729]) ).
fof(f1390,plain,
( $false
| spl0_58 ),
inference(forward_subsumption_resolution,[],[f570,f28]) ).
fof(f1391,plain,
spl0_58,
inference(avatar_contradiction_clause,[],[f1390]) ).
fof(f1404,plain,
( $false
| spl0_119 ),
inference(forward_subsumption_resolution,[],[f786,f13]) ).
fof(f1405,plain,
spl0_119,
inference(avatar_contradiction_clause,[],[f1404]) ).
fof(f1478,plain,
k1(b),
inference(resolution,[],[f39,f7]) ).
fof(f1495,plain,
( $false
| spl0_102 ),
inference(forward_subsumption_resolution,[],[f1478,f727]) ).
fof(f1496,plain,
spl0_102,
inference(avatar_contradiction_clause,[],[f1495]) ).
fof(f1593,plain,
( ~ n2(e)
| ~ spl0_265 ),
inference(resolution,[],[f1308,f369]) ).
fof(f1596,plain,
( n2(e)
| ~ spl0_182 ),
inference(resolution,[],[f175,f1012]) ).
fof(f1601,plain,
( ~ spl0_132
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f1593,f1307,f830]) ).
fof(f1602,plain,
( spl0_132
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f1596,f1011,f830]) ).
cnf(s52,plain,
( ~ spl0_102
| spl0_103 ),
inference(sat_conversion,[],[f731]) ).
cnf(s95,plain,
( ~ spl0_58
| ~ spl0_119
| spl0_182 ),
inference(sat_conversion,[],[f1013]) ).
cnf(s140,plain,
( ~ spl0_103
| spl0_265 ),
inference(sat_conversion,[],[f1309]) ).
cnf(s153,plain,
spl0_58,
inference(sat_conversion,[],[f1391]) ).
cnf(s160,plain,
spl0_119,
inference(sat_conversion,[],[f1405]) ).
cnf(s200,plain,
spl0_102,
inference(sat_conversion,[],[f1496]) ).
cnf(s236,plain,
( ~ spl0_132
| ~ spl0_265 ),
inference(sat_conversion,[],[f1601]) ).
cnf(s237,plain,
( spl0_132
| ~ spl0_182 ),
inference(sat_conversion,[],[f1602]) ).
cnf(s269,plain,
spl0_182,
inference(rat,[],[s95,s160,s153]) ).
cnf(s270,plain,
spl0_132,
inference(rat,[],[s237,s269]) ).
cnf(s271,plain,
~ spl0_265,
inference(rat,[],[s236,s270]) ).
cnf(s272,plain,
~ spl0_103,
inference(rat,[],[s140,s271]) ).
cnf(s291,plain,
$false,
inference(rat,[],[s52,s272,s200]) ).
fof(f1603,plain,
$false,
inference(avatar_sat_refutation,[],[s291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN233-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n015.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 15:42:02 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.77/1.16 % (2729357)Input is clausal, will run a generic CNF schedule.
% 2.77/1.16 % (2729402)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3736531150:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.77/1.16 % (2729402)First to succeed.
% 2.77/1.16 % (2729402)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2729357"
% 2.77/1.16 % (2729400)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=106871368:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.77/1.16 % (2729398)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=638553548:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.77/1.16 % (2729401)lrs+10_1_sil=8000:sp=occurrence:random_seed=916191103:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.77/1.16 % (2729399)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=567012943:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.77/1.16 % (2729403)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1031880124:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.77/1.16 % (2729404)dis-21_1_sil=8000:lcm=predicate:random_seed=125347283:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.77/1.16 % (2729401)Also succeeded, but the first one will report.
% 2.77/1.16 % (2729403)Also succeeded, but the first one will report.
% 2.77/1.16 % (2729404)Also succeeded, but the first one will report.
% 2.77/1.16 % (2729402)Refutation found. Thanks to Tanya!
% 2.77/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.77/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.77/1.16 % (2729402)------------------------------
% 2.77/1.16 % (2729402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.16 % (2729402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.16 % (2729402)CaDiCaL version: 2.1.3
% 2.77/1.16 % (2729402)Termination reason: Refutation
% 2.77/1.16 % (2729402)Time elapsed: 0.007 s
% 2.77/1.16 % (2729402)Peak memory usage: 90 MB
% 2.77/1.16 % (2729402)Instructions burned: 19 (million)
% 2.77/1.16 % (2729402)------------------------------
% 2.77/1.16 % (2729402)------------------------------
% 2.77/1.16 % (2729357)Success in time 0.299 s
% 2.77/1.16 % Vampire exiting
%------------------------------------------------------------------------------