%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN124-1 : 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 : 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 01:49:43 PM UTC 2026
% Result : Unsatisfiable 3.76s 1.22s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 51 ( 17 unt; 6 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 89 ( 46 ~; 37 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 7 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
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(f228,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_190) ).
fof(f258,axiom,
! [X0,X1] :
( l3(X0,X0)
| ~ s2(X1)
| ~ l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_220) ).
fof(f369,negated_conjecture,
~ l3(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f411,definition,
( spl0_10
<=> ! [X2] : ~ s1(X2) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f412,plain,
( ! [X2] : ~ s1(X2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f414,definition,
( spl0_11
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f415,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f416,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f164,f414,f411]) ).
fof(f802,plain,
( s2(d)
| ~ s1(a) ),
inference(forward_subsumption_resolution,[],[f228,f1]) ).
fof(f881,definition,
( spl0_122
<=> ! [X1] : ~ s2(X1) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f882,plain,
( ! [X1] : ~ s2(X1)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f884,definition,
( spl0_123
<=> ! [X0] :
( l3(X0,X0)
| ~ l1(X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f885,plain,
( ! [X0] :
( ~ l1(X0,X0)
| l3(X0,X0) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f886,plain,
( spl0_122
| spl0_123 ),
inference(avatar_split_clause,[],[f258,f884,f881]) ).
fof(f951,definition,
( spl0_137
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f953,plain,
( ~ s1(a)
| spl0_137 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f955,definition,
( spl0_138
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f957,plain,
( s2(d)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f958,plain,
( ~ spl0_137
| spl0_138 ),
inference(avatar_split_clause,[],[f802,f955,f951]) ).
fof(f1095,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1096,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1095,f412]) ).
fof(f1097,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f1096]) ).
fof(f1106,plain,
( s1(a)
| ~ spl0_11 ),
inference(resolution,[],[f415,f36]) ).
fof(f1109,plain,
( $false
| ~ spl0_11
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f1106,f953]) ).
fof(f1110,plain,
( ~ spl0_11
| spl0_137 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1111,plain,
( $false
| ~ spl0_122
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f957,f882]) ).
fof(f1112,plain,
( ~ spl0_122
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f1111]) ).
fof(f1123,plain,
l1(a,a),
inference(resolution,[],[f40,f37]) ).
fof(f1165,plain,
( l3(a,a)
| ~ spl0_123 ),
inference(resolution,[],[f885,f1123]) ).
fof(f1169,plain,
( $false
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f1165,f369]) ).
fof(f1170,plain,
~ spl0_123,
inference(avatar_contradiction_clause,[],[f1169]) ).
cnf(s6,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f416]) ).
cnf(s64,plain,
( spl0_122
| spl0_123 ),
inference(sat_conversion,[],[f886]) ).
cnf(s73,plain,
( ~ spl0_137
| spl0_138 ),
inference(sat_conversion,[],[f958]) ).
cnf(s112,plain,
~ spl0_10,
inference(sat_conversion,[],[f1097]) ).
cnf(s114,plain,
( ~ spl0_11
| spl0_137 ),
inference(sat_conversion,[],[f1110]) ).
cnf(s115,plain,
( ~ spl0_122
| ~ spl0_138 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s130,plain,
~ spl0_123,
inference(sat_conversion,[],[f1170]) ).
cnf(s138,plain,
spl0_122,
inference(rat,[],[s64,s130]) ).
cnf(s139,plain,
~ spl0_138,
inference(rat,[],[s115,s138]) ).
cnf(s140,plain,
~ spl0_137,
inference(rat,[],[s73,s139]) ).
cnf(s141,plain,
~ spl0_11,
inference(rat,[],[s114,s140]) ).
cnf(s168,plain,
$false,
inference(rat,[],[s6,s141,s112]) ).
fof(f1172,plain,
$false,
inference(avatar_sat_refutation,[],[s168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN124-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:36:32 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.76/1.22 % (2012731)Input is clausal, will run a generic CNF schedule.
% 3.76/1.22 % (2012737)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=551856871:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.76/1.22 % (2012736)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=2591614927:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.76/1.22 % (2012741)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4271347822:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.76/1.22 % (2012738)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3146189727:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.76/1.22 % (2012740)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2429988482:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.76/1.22 % (2012739)lrs+10_1_sil=8000:sp=occurrence:random_seed=2304022378:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.76/1.22 % (2012742)dis-21_1_sil=8000:lcm=predicate:random_seed=1391725585: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)
% 3.76/1.22 % (2012739)First to succeed.
% 3.76/1.22 % (2012739)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2012731"
% 3.76/1.22 % (2012740)Also succeeded, but the first one will report.
% 3.76/1.22 % (2012741)Also succeeded, but the first one will report.
% 3.76/1.22 % (2012742)Also succeeded, but the first one will report.
% 3.76/1.22 % (2012739)Refutation found. Thanks to Tanya!
% 3.76/1.22 % SZS status Unsatisfiable for theBenchmark
% 3.76/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 3.76/1.22 % (2012739)------------------------------
% 3.76/1.22 % (2012739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.22 % (2012739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.22 % (2012739)CaDiCaL version: 2.1.3
% 3.76/1.22 % (2012739)Termination reason: Refutation
% 3.76/1.22 % (2012739)Time elapsed: 0.011 s
% 3.76/1.22 % (2012739)Peak memory usage: 89 MB
% 3.76/1.22 % (2012739)Instructions burned: 14 (million)
% 3.76/1.22 % (2012739)------------------------------
% 3.76/1.22 % (2012739)------------------------------
% 3.76/1.22 % (2012731)Success in time 0.459 s
% 3.76/1.22 % Vampire exiting
%------------------------------------------------------------------------------