%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN176-1 : 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 : n014.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 01:49:50 PM UTC 2026
% Result : Unsatisfiable 2.53s 1.12s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 53 ( 17 unt; 6 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 125 ( 64 ~; 55 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 7 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_133) ).
fof(f221,axiom,
! [X0,X1] :
( q2(X0,c,X1)
| ~ k1(X1)
| ~ l0(c)
| ~ l2(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_183) ).
fof(f369,negated_conjecture,
! [X0] : ~ q2(e,c,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f474,definition,
( spl0_31
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f475,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f822,definition,
( spl0_131
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f823,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f824,plain,
( spl0_31
| spl0_131 ),
inference(avatar_split_clause,[],[f164,f822,f474]) ).
fof(f887,definition,
( spl0_149
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f888,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f890,definition,
( spl0_150
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f891,plain,
( ! [X2,X3,X0] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f892,plain,
( spl0_149
| spl0_150 ),
inference(avatar_split_clause,[],[f171,f890,f887]) ).
fof(f915,definition,
( spl0_157
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f916,plain,
( ~ l0(c)
| spl0_157 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f1323,definition,
( spl0_269
<=> ! [X0,X1] :
( q2(X0,c,X1)
| ~ l2(X1,X0)
| ~ k1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
fof(f1324,plain,
( ! [X0,X1] :
( q2(X0,c,X1)
| ~ l2(X1,X0)
| ~ k1(X1) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f1325,plain,
( ~ spl0_157
| spl0_269 ),
inference(avatar_split_clause,[],[f221,f1323,f915]) ).
fof(f1409,plain,
( $false
| spl0_157 ),
inference(forward_subsumption_resolution,[],[f916,f24]) ).
fof(f1410,plain,
spl0_157,
inference(avatar_contradiction_clause,[],[f1409]) ).
fof(f1417,plain,
( $false
| ~ spl0_149 ),
inference(resolution,[],[f888,f14]) ).
fof(f1418,plain,
~ spl0_149,
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1474,plain,
k1(e),
inference(resolution,[],[f39,f3]) ).
fof(f1500,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f163,f475]) ).
fof(f1501,plain,
( spl0_149
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1500,f474,f887]) ).
fof(f1507,plain,
( ! [X0] : s1(X0)
| ~ spl0_131 ),
inference(resolution,[],[f823,f17]) ).
fof(f1640,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_131
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f891,f1507]) ).
fof(f1744,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_131
| ~ spl0_150 ),
inference(resolution,[],[f1640,f19]) ).
fof(f2163,plain,
( ! [X0] :
( ~ l2(X0,e)
| ~ k1(X0) )
| ~ spl0_269 ),
inference(resolution,[],[f1324,f369]) ).
fof(f2171,plain,
( ~ k1(e)
| ~ spl0_131
| ~ spl0_150
| ~ spl0_269 ),
inference(resolution,[],[f2163,f1744]) ).
fof(f2172,plain,
( $false
| ~ spl0_131
| ~ spl0_150
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f2171,f1474]) ).
fof(f2173,plain,
( ~ spl0_131
| ~ spl0_150
| ~ spl0_269 ),
inference(avatar_contradiction_clause,[],[f2172]) ).
cnf(s59,plain,
( spl0_31
| spl0_131 ),
inference(sat_conversion,[],[f824]) ).
cnf(s69,plain,
( spl0_149
| spl0_150 ),
inference(sat_conversion,[],[f892]) ).
cnf(s143,plain,
( ~ spl0_157
| spl0_269 ),
inference(sat_conversion,[],[f1325]) ).
cnf(s163,plain,
spl0_157,
inference(sat_conversion,[],[f1410]) ).
cnf(s167,plain,
~ spl0_149,
inference(sat_conversion,[],[f1418]) ).
cnf(s204,plain,
( ~ spl0_31
| spl0_149 ),
inference(sat_conversion,[],[f1501]) ).
cnf(s322,plain,
( ~ spl0_131
| ~ spl0_150
| ~ spl0_269 ),
inference(sat_conversion,[],[f2173]) ).
cnf(s324,plain,
~ spl0_31,
inference(rat,[],[s204,s167]) ).
cnf(s325,plain,
spl0_269,
inference(rat,[],[s143,s163]) ).
cnf(s391,plain,
spl0_150,
inference(rat,[],[s69,s167]) ).
cnf(s392,plain,
~ spl0_131,
inference(rat,[],[s322,s325,s391]) ).
cnf(s398,plain,
$false,
inference(rat,[],[s59,s392,s324]) ).
fof(f2174,plain,
$false,
inference(avatar_sat_refutation,[],[s398]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN176-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.18 % Computer : n014.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Mon Sep 28 15:37:46 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 Running first-order theorem proving
% 0.12/0.22 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
% 2.53/1.12 % (1861462)Input is clausal, will run a generic CNF schedule.
% 2.53/1.12 % (1861518)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3323122252:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.53/1.12 % (1861518)First to succeed.
% 2.53/1.12 % (1861518)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1861462"
% 2.53/1.12 % (1861514)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=583734733:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.53/1.12 % (1861516)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4016764423:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.53/1.12 % (1861515)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1787860149:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.53/1.12 % (1861517)lrs+10_1_sil=8000:sp=occurrence:random_seed=1944707194:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.53/1.12 % (1861520)dis-21_1_sil=8000:lcm=predicate:random_seed=3448212035: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)
% 2.53/1.12 % (1861519)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=683022864:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.53/1.12 % (1861519)Also succeeded, but the first one will report.
% 2.53/1.12 % (1861520)Also succeeded, but the first one will report.
% 2.53/1.12 % (1861517)Also succeeded, but the first one will report.
% 2.53/1.12 % (1861518)Refutation found. Thanks to Tanya!
% 2.53/1.12 % SZS status Unsatisfiable for theBenchmark
% 2.53/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 2.53/1.12 % (1861518)------------------------------
% 2.53/1.12 % (1861518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.12 % (1861518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.12 % (1861518)CaDiCaL version: 2.1.3
% 2.53/1.12 % (1861518)Termination reason: Refutation
% 2.53/1.12 % (1861518)Time elapsed: 0.012 s
% 2.53/1.12 % (1861518)Peak memory usage: 90 MB
% 2.53/1.12 % (1861518)Instructions burned: 33 (million)
% 2.53/1.12 % (1861518)------------------------------
% 2.53/1.12 % (1861518)------------------------------
% 2.53/1.12 % (1861462)Success in time 0.283 s
% 2.53/1.12 % Vampire exiting
%------------------------------------------------------------------------------