%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN214-1 : 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 : n019.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 01:49:56 PM UTC 2026
% Result : Unsatisfiable 3.81s 1.23s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 57 ( 17 unt; 5 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 129 ( 68 ~; 56 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 6 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
p0(b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f104,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_066) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_110) ).
fof(f192,axiom,
! [X0] :
( ~ q1(X0,X0,X0)
| p2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_154) ).
fof(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).
fof(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).
fof(f286,axiom,
! [X0,X1] :
( p3(X0,X0,X0)
| ~ p2(X1,X0,X0)
| ~ n3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_248) ).
fof(f293,axiom,
! [X2,X0,X1] :
( ~ q2(X2,X0,X1)
| q3(X0,X1)
| ~ n0(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).
fof(f315,axiom,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_277) ).
fof(f336,axiom,
! [X2,X3,X0,X1] :
( r4(X0)
| ~ n3(X0)
| ~ q3(X1,X2)
| ~ p0(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_298) ).
fof(f367,axiom,
! [X0,X1] :
( s5(X0)
| ~ l4(X0)
| ~ r4(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_329) ).
fof(f369,negated_conjecture,
~ s5(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f443,plain,
! [X0,X1] :
( ~ p2(X1,X0,X0)
| p3(X0,X0,X0) ),
inference(forward_subsumption_resolution,[],[f286,f278]) ).
fof(f445,definition,
( spl0_19
<=> ! [X2,X1] : ~ q3(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f446,plain,
( ! [X2,X1] : ~ q3(X1,X2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f485,definition,
( spl0_29
<=> ! [X0] : p2(X0,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f486,plain,
( ! [X0] : p2(X0,X0,X0)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f597,definition,
( spl0_57
<=> ! [X0,X3] :
( r4(X0)
| ~ p0(X3,X0)
| ~ n3(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f598,plain,
( ! [X3,X0] :
( r4(X0)
| ~ p0(X3,X0)
| ~ n3(X0) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f599,plain,
( spl0_19
| spl0_57 ),
inference(avatar_split_clause,[],[f336,f597,f445]) ).
fof(f631,definition,
( spl0_66
<=> ! [X1] : ~ r4(X1) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f632,plain,
( ! [X1] : ~ r4(X1)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f634,definition,
( spl0_67
<=> ! [X0] :
( s5(X0)
| ~ l4(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f635,plain,
( ! [X0] :
( s5(X0)
| ~ l4(X0) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f636,plain,
( spl0_66
| spl0_67 ),
inference(avatar_split_clause,[],[f367,f634,f631]) ).
fof(f710,plain,
p1(e,e,e),
inference(resolution,[],[f104,f30]) ).
fof(f734,plain,
! [X0] : q1(X0,X0,X0),
inference(resolution,[],[f148,f19]) ).
fof(f764,plain,
! [X0] : p2(X0,X0,X0),
inference(resolution,[],[f734,f192]) ).
fof(f765,plain,
spl0_29,
inference(avatar_split_clause,[],[f764,f485]) ).
fof(f766,plain,
( ! [X0] : n3(X0)
| ~ spl0_29 ),
inference(resolution,[],[f486,f278]) ).
fof(f770,plain,
q2(e,e,e),
inference(resolution,[],[f219,f710]) ).
fof(f854,plain,
( ! [X0] : p3(X0,X0,X0)
| ~ spl0_29 ),
inference(resolution,[],[f443,f486]) ).
fof(f862,plain,
( ! [X0] : l4(X0)
| ~ spl0_29 ),
inference(resolution,[],[f854,f315]) ).
fof(f1023,plain,
( q3(e,e)
| ~ n0(e,e) ),
inference(resolution,[],[f293,f770]) ).
fof(f1027,plain,
( ~ n0(e,e)
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1023,f446]) ).
fof(f1030,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1027,f30]) ).
fof(f1031,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f1030]) ).
fof(f1032,plain,
( ! [X3,X0] :
( ~ p0(X3,X0)
| ~ n3(X0) )
| ~ spl0_57
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f598,f632]) ).
fof(f1034,plain,
( ! [X3,X0] : ~ p0(X3,X0)
| ~ spl0_29
| ~ spl0_57
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f1032,f766]) ).
fof(f1035,plain,
( $false
| ~ spl0_29
| ~ spl0_57
| ~ spl0_66 ),
inference(resolution,[],[f1034,f10]) ).
fof(f1040,plain,
( ~ spl0_29
| ~ spl0_57
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
fof(f1041,plain,
( ! [X0] : s5(X0)
| ~ spl0_29
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f635,f862]) ).
fof(f1043,plain,
( $false
| ~ spl0_29
| ~ spl0_67 ),
inference(resolution,[],[f1041,f369]) ).
fof(f1045,plain,
( ~ spl0_29
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f1043]) ).
cnf(s28,plain,
( spl0_19
| spl0_57 ),
inference(sat_conversion,[],[f599]) ).
cnf(s33,plain,
( spl0_66
| spl0_67 ),
inference(sat_conversion,[],[f636]) ).
cnf(s55,plain,
spl0_29,
inference(sat_conversion,[],[f765]) ).
cnf(s86,plain,
~ spl0_19,
inference(sat_conversion,[],[f1031]) ).
cnf(s89,plain,
( ~ spl0_29
| ~ spl0_57
| ~ spl0_66 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s90,plain,
( ~ spl0_29
| ~ spl0_67 ),
inference(sat_conversion,[],[f1045]) ).
cnf(s91,plain,
~ spl0_67,
inference(rat,[],[s90,s55]) ).
cnf(s100,plain,
spl0_66,
inference(rat,[],[s33,s91]) ).
cnf(s101,plain,
~ spl0_57,
inference(rat,[],[s89,s55,s100]) ).
cnf(s103,plain,
$false,
inference(rat,[],[s28,s101,s86]) ).
fof(f1046,plain,
$false,
inference(avatar_sat_refutation,[],[s103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN214-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n019.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 15:38:18 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 3.81/1.23 % (4100536)Input is clausal, will run a generic CNF schedule.
% 3.81/1.23 % (4100653)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1221236525:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.81/1.23 % (4100652)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=3191484121:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.81/1.23 % (4100654)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3887988786:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.81/1.23 % (4100656)lrs+10_1_sil=8000:sp=occurrence:random_seed=756170488:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.81/1.23 % (4100656)First to succeed.
% 3.81/1.23 % (4100659)dis-21_1_sil=8000:lcm=predicate:random_seed=1225982864: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)
% 3.81/1.23 % (4100658)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1227918889:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.81/1.23 % (4100657)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3517483108:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.81/1.23 % (4100656)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4100536"
% 3.81/1.23 % (4100657)Also succeeded, but the first one will report.
% 3.81/1.23 % (4100658)Also succeeded, but the first one will report.
% 3.81/1.23 % (4100659)Also succeeded, but the first one will report.
% 3.81/1.23 % (4100656)Refutation found. Thanks to Tanya!
% 3.81/1.23 % SZS status Unsatisfiable for theBenchmark
% 3.81/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 3.81/1.23 % (4100656)------------------------------
% 3.81/1.23 % (4100656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.23 % (4100656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.23 % (4100656)CaDiCaL version: 2.1.3
% 3.81/1.23 % (4100656)Termination reason: Refutation
% 3.81/1.23 % (4100656)Time elapsed: 0.010 s
% 3.81/1.23 % (4100656)Peak memory usage: 89 MB
% 3.81/1.23 % (4100656)Instructions burned: 12 (million)
% 3.81/1.23 % (4100656)------------------------------
% 3.81/1.23 % (4100656)------------------------------
% 3.81/1.23 % (4100536)Success in time 0.474 s
% 3.81/1.23 % Vampire exiting
%------------------------------------------------------------------------------