%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN221-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 01:49:57 PM UTC 2026
% Result : Unsatisfiable 3.47s 1.28s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 58 ( 18 unt; 7 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 104 ( 53 ~; 44 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 8 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).
fof(f228,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_190) ).
fof(f258,axiom,
! [X0,X1] :
( l3(X0,X0)
| ~ s2(X1)
| ~ l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_220) ).
fof(f369,negated_conjecture,
! [X0] : ~ l3(X0,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f390,definition,
( spl0_5
<=> l1(c,c) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f391,plain,
( l1(c,c)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f392,plain,
( ~ l1(c,c)
| spl0_5 ),
inference(avatar_component_clause,[],[f390]) ).
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(f803,plain,
( s2(d)
| ~ s1(a) ),
inference(forward_subsumption_resolution,[],[f228,f1]) ).
fof(f890,definition,
( spl0_124
<=> ! [X1] : ~ s2(X1) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f891,plain,
( ! [X1] : ~ s2(X1)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f893,definition,
( spl0_125
<=> ! [X0] :
( l3(X0,X0)
| ~ l1(X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f894,plain,
( ! [X0] :
( ~ l1(X0,X0)
| l3(X0,X0) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f895,plain,
( spl0_124
| spl0_125 ),
inference(avatar_split_clause,[],[f258,f893,f890]) ).
fof(f953,definition,
( spl0_137
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f955,plain,
( ~ s1(a)
| spl0_137 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f957,definition,
( spl0_138
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f959,plain,
( s2(d)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f960,plain,
( ~ spl0_137
| spl0_138 ),
inference(avatar_split_clause,[],[f803,f957,f953]) ).
fof(f1094,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1095,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1094,f412]) ).
fof(f1096,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1105,plain,
( s1(a)
| ~ spl0_11 ),
inference(resolution,[],[f415,f36]) ).
fof(f1108,plain,
( $false
| ~ spl0_11
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f1105,f955]) ).
fof(f1109,plain,
( ~ spl0_11
| spl0_137 ),
inference(avatar_contradiction_clause,[],[f1108]) ).
fof(f1110,plain,
( $false
| ~ spl0_124
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f959,f891]) ).
fof(f1111,plain,
( ~ spl0_124
| ~ spl0_138 ),
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1118,plain,
l1(c,c),
inference(resolution,[],[f40,f26]) ).
fof(f1126,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f1118,f392]) ).
fof(f1127,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f1126]) ).
fof(f1166,plain,
( l3(c,c)
| ~ spl0_5
| ~ spl0_125 ),
inference(resolution,[],[f894,f391]) ).
fof(f1167,plain,
( $false
| ~ spl0_5
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f1166,f369]) ).
fof(f1168,plain,
( ~ spl0_5
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f1167]) ).
cnf(s6,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f416]) ).
cnf(s66,plain,
( spl0_124
| spl0_125 ),
inference(sat_conversion,[],[f895]) ).
cnf(s73,plain,
( ~ spl0_137
| spl0_138 ),
inference(sat_conversion,[],[f960]) ).
cnf(s112,plain,
~ spl0_10,
inference(sat_conversion,[],[f1096]) ).
cnf(s114,plain,
( ~ spl0_11
| spl0_137 ),
inference(sat_conversion,[],[f1109]) ).
cnf(s115,plain,
( ~ spl0_124
| ~ spl0_138 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s118,plain,
spl0_5,
inference(sat_conversion,[],[f1127]) ).
cnf(s129,plain,
( ~ spl0_5
| ~ spl0_125 ),
inference(sat_conversion,[],[f1168]) ).
cnf(s131,plain,
~ spl0_125,
inference(rat,[],[s129,s118]) ).
cnf(s137,plain,
spl0_124,
inference(rat,[],[s66,s131]) ).
cnf(s138,plain,
~ spl0_138,
inference(rat,[],[s115,s137]) ).
cnf(s139,plain,
~ spl0_137,
inference(rat,[],[s73,s138]) ).
cnf(s140,plain,
~ spl0_11,
inference(rat,[],[s114,s139]) ).
cnf(s168,plain,
$false,
inference(rat,[],[s6,s140,s112]) ).
fof(f1170,plain,
$false,
inference(avatar_sat_refutation,[],[s168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN221-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n011.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:38:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.47/1.28 % (3480131)Input is clausal, will run a generic CNF schedule.
% 3.47/1.28 % (3480153)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3427192498:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.28 % (3480151)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=3476944479:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.28 % (3480152)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=749617990:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.28 % (3480156)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=43530972:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.28 % (3480157)dis-21_1_sil=8000:lcm=predicate:random_seed=2482737223: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)
% 3.47/1.28 % (3480154)lrs+10_1_sil=8000:sp=occurrence:random_seed=672491759:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.28 % (3480155)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2294920750:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.28 % (3480154)First to succeed.
% 3.47/1.28 % (3480154)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3480131"
% 3.47/1.28 % (3480156)Also succeeded, but the first one will report.
% 3.47/1.28 % (3480157)Also succeeded, but the first one will report.
% 3.47/1.28 % (3480155)Also succeeded, but the first one will report.
% 3.47/1.28 % (3480154)Refutation found. Thanks to Tanya!
% 3.47/1.28 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.28 % (3480154)------------------------------
% 3.47/1.28 % (3480154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.28 % (3480154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.28 % (3480154)CaDiCaL version: 2.1.3
% 3.47/1.28 % (3480154)Termination reason: Refutation
% 3.47/1.28 % (3480154)Time elapsed: 0.011 s
% 3.47/1.28 % (3480154)Peak memory usage: 89 MB
% 3.47/1.28 % (3480154)Instructions burned: 14 (million)
% 3.47/1.28 % (3480154)------------------------------
% 3.47/1.28 % (3480154)------------------------------
% 3.47/1.28 % (3480131)Success in time 0.405 s
% 3.47/1.28 % Vampire exiting
%------------------------------------------------------------------------------