%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO109-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:51:34 AM UTC 2026
% Result : Unsatisfiable 4.88s 1.31s
% Output : Refutation 5.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 29
% Syntax : Number of formulae : 99 ( 10 unt; 5 def)
% Number of atoms : 320 ( 11 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 420 ( 199 ~; 216 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 128 ( 0 sgn 128 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_1) ).
fof(f2,axiom,
! [X0,X1] :
( incident_c(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_2) ).
fof(f3,axiom,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X1)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_3) ).
fof(f22,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_13) ).
fof(f23,axiom,
! [X2,X3,X0,X1] :
( ~ end_point(X0,X1)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3)
| part_of(X2,X3)
| part_of(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_14) ).
fof(f24,axiom,
! [X0,X1] :
( part_of(ax0_sk3(X1,X0),X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_15) ).
fof(f25,axiom,
! [X0,X1] :
( part_of(ax0_sk4(X1,X0),X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_16) ).
fof(f26,axiom,
! [X0,X1] :
( incident_c(X0,ax0_sk3(X1,X0))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_17) ).
fof(f27,axiom,
! [X0,X1] :
( incident_c(X0,ax0_sk4(X1,X0))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_18) ).
fof(f28,axiom,
! [X0,X1] :
( ~ part_of(ax0_sk3(X1,X0),ax0_sk4(X1,X0))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_19) ).
fof(f29,axiom,
! [X0,X1] :
( ~ part_of(ax0_sk4(X1,X0),ax0_sk3(X1,X0))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_20) ).
fof(f30,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_21) ).
fof(f31,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_22) ).
fof(f32,axiom,
! [X0,X1] :
( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_23) ).
fof(f42,axiom,
! [X0] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn_33) ).
fof(f51,axiom,
! [X0,X1] :
( end_point(ax0_sk11(X0,X1),X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6_41) ).
fof(f52,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| X0 != ax0_sk11(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6_42) ).
fof(f53,plain,
! [X0,X1] :
( ax0_sk11(X0,X1) != X0
| ~ end_point(X0,X1) ),
inference(reorient_equations,[],[f52]) ).
fof(f67,axiom,
! [X2,X3,X0,X1] :
( part_of(ax1_sk1(X3,X2,X1,X0),X0)
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_2) ).
fof(f70,axiom,
! [X2,X3,X0,X1] :
( inner_point(X2,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_5) ).
fof(f71,axiom,
! [X2,X3,X0,X1,X4] :
( between_c(X3,X0,X4,X1)
| ~ part_of(X2,X3)
| ~ end_point(X0,X2)
| ~ end_point(X1,X2)
| ~ inner_point(X4,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_6) ).
fof(f72,negated_conjecture,
open(sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_6_77) ).
fof(f73,negated_conjecture,
( end_point(sk16,sk15)
| incident_c(sk16,sk15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_6_78) ).
fof(f74,negated_conjecture,
! [X0,X1] :
( end_point(sk16,sk15)
| ~ between_c(sk15,X0,sk16,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_6_79) ).
fof(f78,negated_conjecture,
( ~ incident_c(sk16,sk15)
| between_c(sk15,sk17,sk16,sk18)
| ~ end_point(sk16,sk15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_6_83) ).
fof(f85,definition,
( spl0_1
<=> end_point(sk16,sk15) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f86,plain,
( end_point(sk16,sk15)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( ~ end_point(sk16,sk15)
| spl0_1 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f89,definition,
( spl0_2
<=> between_c(sk15,sk17,sk16,sk18) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f91,plain,
( between_c(sk15,sk17,sk16,sk18)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f93,definition,
( spl0_3
<=> incident_c(sk16,sk15) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f94,plain,
( incident_c(sk16,sk15)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f95,plain,
( ~ incident_c(sk16,sk15)
| spl0_3 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f78,f93,f89,f85]) ).
fof(f98,definition,
( spl0_4
<=> ! [X0,X1] : ~ between_c(sk15,X0,sk16,X1) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f99,plain,
( ! [X0,X1] : ~ between_c(sk15,X0,sk16,X1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f74,f85,f98]) ).
fof(f102,plain,
( spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f73,f85,f93]) ).
fof(f103,plain,
! [X0] :
( part_of(X0,X0)
| part_of(X0,X0) ),
inference(resolution,[],[f3,f2]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X2)
| part_of(X0,X1)
| ~ part_of(X2,X1) ),
inference(resolution,[],[f3,f1]) ).
fof(f105,plain,
! [X0] : part_of(X0,X0),
inference(duplicate_literal_removal,[],[f103]) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( ~ end_point(X2,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
inference(resolution,[],[f70,f31]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( incident_c(X2,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) ),
inference(resolution,[],[f70,f30]) ).
fof(f113,plain,
( ! [X2,X0,X1] :
( ~ inner_point(sk16,X0)
| ~ end_point(X1,X0)
| ~ end_point(X2,X0)
| ~ part_of(X0,sk15)
| X1 = X2 )
| ~ spl0_4 ),
inference(resolution,[],[f71,f99]) ).
fof(f133,plain,
( ! [X2,X0,X1] :
( end_point(sk16,X1)
| ~ end_point(X2,X1)
| ~ part_of(X1,sk15)
| X0 = X2
| ~ end_point(X0,X1)
| ~ incident_c(sk16,X1) )
| ~ spl0_4 ),
inference(resolution,[],[f113,f32]) ).
fof(f135,plain,
( ! [X0,X1] :
( ~ end_point(X0,sk15)
| ~ part_of(sk15,sk15)
| X0 = X1
| ~ end_point(X1,sk15)
| ~ incident_c(sk16,sk15) )
| spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f133,f87]) ).
fof(f138,plain,
( ! [X0,X1] :
( ~ end_point(X0,sk15)
| X0 = X1
| ~ end_point(X1,sk15)
| ~ incident_c(sk16,sk15) )
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f135,f105]) ).
fof(f139,plain,
( ! [X0,X1] :
( ~ end_point(X1,sk15)
| X0 = X1
| ~ end_point(X0,sk15) )
| spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f138,f94]) ).
fof(f142,plain,
( ! [X0,X1] :
( ax0_sk11(X1,sk15) = X0
| ~ end_point(X0,sk15)
| ~ end_point(X1,sk15) )
| spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f139,f51]) ).
fof(f149,plain,
( ! [X0,X1] :
( X0 != X1
| ~ end_point(X1,sk15)
| ~ end_point(X0,sk15)
| ~ end_point(X1,sk15) )
| spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f53,f142]) ).
fof(f150,plain,
( ! [X0,X1] :
( X0 != X1
| ~ end_point(X1,sk15)
| ~ end_point(X0,sk15) )
| spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f149]) ).
fof(f153,plain,
( ! [X0,X1] :
( ~ end_point(X1,sk15)
| ~ end_point(X0,sk15) )
| spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f150,f139]) ).
fof(f155,definition,
( spl0_5
<=> ! [X0] : ~ end_point(X0,sk15) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f156,plain,
( ! [X0] : ~ end_point(X0,sk15)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f157,plain,
( spl0_5
| spl0_5
| spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f153,f98,f93,f85,f155,f155]) ).
fof(f160,plain,
( incident_c(sk16,sk15)
| ~ spl0_1 ),
inference(resolution,[],[f86,f22]) ).
fof(f161,plain,
( $false
| ~ spl0_1
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f160,f95]) ).
fof(f162,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f163,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f91,f99]) ).
fof(f164,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f180,plain,
( ! [X0,X1] :
( ~ incident_c(sk16,X1)
| ~ part_of(X1,sk15)
| ~ incident_c(sk16,X0)
| ~ part_of(X0,sk15)
| part_of(X0,X1)
| part_of(X1,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f23,f86]) ).
fof(f185,plain,
( ! [X0,X1] :
( part_of(ax0_sk3(X0,sk16),X1)
| ~ incident_c(sk16,X1)
| ~ part_of(X1,sk15)
| part_of(X1,ax0_sk3(X0,sk16))
| ~ part_of(ax0_sk3(X0,sk16),sk15)
| ~ incident_c(sk16,X0)
| end_point(sk16,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f180,f26]) ).
fof(f193,plain,
! [X2,X3,X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X3)
| ~ part_of(X2,X1)
| part_of(X0,X1)
| ~ part_of(X3,X2) ),
inference(resolution,[],[f104,f1]) ).
fof(f221,plain,
( ! [X0] :
( ~ incident_c(sk16,ax0_sk4(X0,sk16))
| ~ part_of(ax0_sk4(X0,sk16),sk15)
| part_of(ax0_sk4(X0,sk16),ax0_sk3(X0,sk16))
| ~ part_of(ax0_sk3(X0,sk16),sk15)
| ~ incident_c(sk16,X0)
| end_point(sk16,X0)
| ~ incident_c(sk16,X0)
| end_point(sk16,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f185,f28]) ).
fof(f224,plain,
( ! [X0] :
( ~ incident_c(sk16,ax0_sk4(X0,sk16))
| ~ part_of(ax0_sk4(X0,sk16),sk15)
| part_of(ax0_sk4(X0,sk16),ax0_sk3(X0,sk16))
| ~ part_of(ax0_sk3(X0,sk16),sk15)
| ~ incident_c(sk16,X0)
| end_point(sk16,X0) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f221]) ).
fof(f225,plain,
( ! [X0] :
( ~ part_of(ax0_sk4(X0,sk16),sk15)
| part_of(ax0_sk4(X0,sk16),ax0_sk3(X0,sk16))
| ~ part_of(ax0_sk3(X0,sk16),sk15)
| ~ incident_c(sk16,X0)
| end_point(sk16,X0) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f224,f27]) ).
fof(f226,plain,
( ! [X0] :
( ~ part_of(ax0_sk4(X0,sk16),sk15)
| ~ part_of(ax0_sk3(X0,sk16),sk15)
| ~ incident_c(sk16,X0)
| end_point(sk16,X0) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f225,f29]) ).
fof(f990,plain,
! [X2,X0,X1] :
( ~ part_of(X0,X1)
| part_of(X2,X1)
| ~ part_of(X2,X0)
| part_of(X2,X1) ),
inference(resolution,[],[f193,f2]) ).
fof(f1016,plain,
! [X2,X0,X1] :
( part_of(X2,X1)
| ~ part_of(X0,X1)
| ~ part_of(X2,X0) ),
inference(duplicate_literal_removal,[],[f990]) ).
fof(f1019,plain,
( ! [X0,X1] :
( ~ part_of(ax0_sk4(X1,sk16),X0)
| ~ part_of(X0,sk15)
| ~ part_of(ax0_sk3(X1,sk16),sk15)
| ~ incident_c(sk16,X1)
| end_point(sk16,X1) )
| ~ spl0_1 ),
inference(resolution,[],[f1016,f226]) ).
fof(f1024,plain,
( ! [X0] :
( ~ part_of(X0,sk15)
| ~ part_of(ax0_sk3(X0,sk16),sk15)
| ~ incident_c(sk16,X0)
| end_point(sk16,X0)
| ~ incident_c(sk16,X0)
| end_point(sk16,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f1019,f25]) ).
fof(f1034,plain,
( ! [X0] :
( ~ part_of(ax0_sk3(X0,sk16),sk15)
| ~ part_of(X0,sk15)
| ~ incident_c(sk16,X0)
| end_point(sk16,X0) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f1024]) ).
fof(f1045,plain,
( ! [X0,X1] :
( ~ part_of(ax0_sk3(X0,sk16),X1)
| ~ incident_c(sk16,X0)
| end_point(sk16,X0)
| ~ part_of(X1,sk15)
| ~ part_of(X0,sk15) )
| ~ spl0_1 ),
inference(resolution,[],[f1034,f1016]) ).
fof(f1067,plain,
( ! [X0] :
( ~ incident_c(sk16,X0)
| end_point(sk16,X0)
| ~ part_of(X0,sk15)
| ~ part_of(X0,sk15)
| ~ incident_c(sk16,X0)
| end_point(sk16,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f1045,f24]) ).
fof(f1077,plain,
( ! [X0] :
( end_point(sk16,X0)
| ~ incident_c(sk16,X0)
| ~ part_of(X0,sk15) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f1067]) ).
fof(f1088,plain,
( ! [X2,X0,X1] :
( ~ incident_c(sk16,ax1_sk1(X0,sk16,X1,X2))
| ~ part_of(ax1_sk1(X0,sk16,X1,X2),sk15)
| ~ between_c(X2,X1,sk16,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f1077,f111]) ).
fof(f1090,plain,
( ! [X2,X0,X1] :
( ~ part_of(ax1_sk1(X0,sk16,X1,X2),sk15)
| ~ between_c(X2,X1,sk16,X0) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1088,f112]) ).
fof(f1094,plain,
( ! [X0,X1] :
( ~ between_c(sk15,X0,sk16,X1)
| ~ between_c(sk15,X0,sk16,X1) )
| ~ spl0_1 ),
inference(resolution,[],[f1090,f67]) ).
fof(f1095,plain,
( ! [X0,X1] : ~ between_c(sk15,X0,sk16,X1)
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f1094]) ).
fof(f1096,plain,
( spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1095,f85,f98]) ).
fof(f1107,plain,
( ~ open(sk15)
| ~ spl0_5 ),
inference(resolution,[],[f156,f42]) ).
fof(f1112,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1107,f72]) ).
fof(f1113,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f1112]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f96]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f101]) ).
cnf(s4,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f102]) ).
cnf(s5,plain,
( spl0_5
| ~ spl0_3
| ~ spl0_4
| spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f157]) ).
cnf(s6,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(rat,[],[s5]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f162]) ).
cnf(s8,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f164]) ).
cnf(s14,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f1096]) ).
cnf(s18,plain,
~ spl0_5,
inference(sat_conversion,[],[f1113]) ).
cnf(s19,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(rat,[],[s6,s18]) ).
cnf(s20,plain,
spl0_1,
inference(rat,[],[s19,s3,s4]) ).
cnf(s21,plain,
spl0_4,
inference(rat,[],[s14,s20]) ).
cnf(s22,plain,
spl0_3,
inference(rat,[],[s7,s20]) ).
cnf(s23,plain,
~ spl0_2,
inference(rat,[],[s8,s21]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s1,s20,s23,s22]) ).
fof(f1114,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO109-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 07:01:50 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.33 Running first-order theorem proving
% 0.08/0.33 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
% 4.88/1.31 % (2026416)Input is clausal, will run a generic CNF schedule.
% 4.88/1.31 % (2026422)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1399319591:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.88/1.31 % (2026426)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=794317749:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.88/1.31 % (2026425)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=13879684:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.88/1.31 % (2026423)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4065757126:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.88/1.31 % (2026421)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=2329323298:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.88/1.31 % (2026427)dis-21_1_sil=8000:lcm=predicate:random_seed=3633253238: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)
% 4.88/1.31 % (2026424)lrs+10_1_sil=8000:sp=occurrence:random_seed=3572179297:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.88/1.31 % (2026424)Refutation not found, incomplete strategy
% 4.88/1.31 % (2026424)------------------------------
% 4.88/1.31 % (2026424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.31 % (2026424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.31 % (2026424)CaDiCaL version: 2.1.3
% 4.88/1.31 % (2026424)Termination reason: Refutation not found, incomplete strategy
% 4.88/1.31 % (2026424)Time elapsed: 0.002 s
% 4.88/1.31 % (2026424)Peak memory usage: 88 MB
% 4.88/1.31 % (2026424)Instructions burned: 3 (million)
% 4.88/1.31 % (2026425)Refutation not found, incomplete strategy
% 4.88/1.31 % (2026425)------------------------------
% 4.88/1.31 % (2026425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.31 % (2026425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.31 % (2026425)CaDiCaL version: 2.1.3
% 4.88/1.31 % (2026425)Termination reason: Refutation not found, incomplete strategy
% 4.88/1.31 % (2026425)Time elapsed: 0.004 s
% 4.88/1.31 % (2026425)Peak memory usage: 88 MB
% 4.88/1.31 % (2026425)Instructions burned: 11 (million)
% 4.88/1.31 % (2026427)Instruction limit reached!
% 4.88/1.31 % (2026427)------------------------------
% 4.88/1.31 % (2026427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.31 % (2026427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.31 % (2026427)CaDiCaL version: 2.1.3
% 4.88/1.31 % (2026427)Termination reason: Instruction limit
% 4.88/1.31 % (2026427)Termination phase: Saturation
% 4.88/1.31 % (2026427)Time elapsed: 0.033 s
% 4.88/1.31 % (2026427)Peak memory usage: 88 MB
% 4.88/1.31 % (2026427)Instructions burned: 117 (million)
% 4.88/1.31 % (2026426)Instruction limit reached!
% 4.88/1.31 % (2026426)------------------------------
% 4.88/1.31 % (2026426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.31 % (2026426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.31 % (2026426)CaDiCaL version: 2.1.3
% 4.88/1.31 % (2026426)Termination reason: Instruction limit
% 4.88/1.31 % (2026426)Termination phase: Saturation
% 4.88/1.31 % (2026426)Time elapsed: 0.065 s
% 4.88/1.31 % (2026426)Peak memory usage: 89 MB
% 4.88/1.31 % (2026426)Instructions burned: 182 (million)
% 4.88/1.31 % (2026425)------------------------------
% 4.88/1.31 % (2026425)------------------------------
% 4.88/1.31 % (2026424)------------------------------
% 4.88/1.31 % (2026424)------------------------------
% 4.88/1.31 % (2026435)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3158061222:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.88/1.31 % (2026435)Refutation not found, incomplete strategy
% 4.88/1.31 % (2026435)------------------------------
% 4.88/1.31 % (2026435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.31 % (2026435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.31 % (2026435)CaDiCaL version: 2.1.3
% 4.88/1.31 % (2026435)Termination reason: Refutation not found, incomplete strategy
% 4.88/1.31 % (2026435)Time elapsed: 0.003 s
% 4.88/1.31 % (2026435)Peak memory usage: 89 MB
% 4.88/1.31 % (2026435)Instructions burned: 6 (million)
% 4.88/1.31 % (2026436)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1782386852:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.88/1.31 % (2026436)Instruction limit reached!
% 4.88/1.31 % (2026436)------------------------------
% 4.88/1.31 % (2026436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.31 % (2026436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.31 % (2026436)CaDiCaL version: 2.1.3
% 4.88/1.31 % (2026436)Termination reason: Instruction limit
% 4.88/1.31 % (2026436)Termination phase: Saturation
% 4.88/1.31 % (2026436)Time elapsed: 0.060 s
% 4.88/1.31 % (2026436)Peak memory usage: 90 MB
% 4.88/1.31 % (2026436)Instructions burned: 190 (million)
% 4.88/1.31 % (2026437)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1132059678:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.88/1.31 % (2026438)lrs+10_64_to=lpo:sil=8000:random_seed=465704656:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.88/1.31 % (2026438)Instruction limit reached!
% 4.88/1.31 % (2026438)------------------------------
% 4.88/1.31 % (2026438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.31 % (2026438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.31 % (2026438)CaDiCaL version: 2.1.3
% 4.88/1.31 % (2026438)Termination reason: Instruction limit
% 4.88/1.31 % (2026438)Termination phase: Saturation
% 4.88/1.31 % (2026438)Time elapsed: 0.037 s
% 4.88/1.31 % (2026438)Peak memory usage: 88 MB
% 4.88/1.31 % (2026438)Instructions burned: 129 (million)
% 4.88/1.31 % (2026435)------------------------------
% 4.88/1.31 % (2026435)------------------------------
% 4.88/1.31 % (2026437)Instruction limit reached!
% 4.88/1.31 % (2026437)------------------------------
% 4.88/1.31 % (2026437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.31 % (2026437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.31 % (2026437)CaDiCaL version: 2.1.3
% 4.88/1.31 % (2026437)Termination reason: Instruction limit
% 4.88/1.31 % (2026437)Termination phase: Saturation
% 4.88/1.31 % (2026437)Time elapsed: 0.064 s
% 4.88/1.31 % (2026437)Peak memory usage: 88 MB
% 4.88/1.31 % (2026437)Instructions burned: 220 (million)
% 4.88/1.31 % (2026441)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2082688360:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 4.88/1.31 % (2026444)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3050144621:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.88/1.31 % (2026441)Instruction limit reached!
% 4.88/1.31 % (2026441)------------------------------
% 4.88/1.31 % (2026441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.31 % (2026441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.31 % (2026441)CaDiCaL version: 2.1.3
% 4.88/1.31 % (2026441)Termination reason: Instruction limit
% 4.88/1.31 % (2026441)Termination phase: Saturation
% 4.88/1.31 % (2026441)Time elapsed: 0.039 s
% 4.88/1.31 % (2026441)Peak memory usage: 89 MB
% 4.88/1.31 % (2026441)Instructions burned: 194 (million)
% 4.88/1.31 % (2026445)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1285190295:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.88/1.31 % (2026423)First to succeed.
% 4.88/1.31 % (2026446)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3275893567:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 4.88/1.31 % (2026423)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2026416"
% 4.88/1.31 % (2026444)Instruction limit reached!
% 4.88/1.31 % (2026444)------------------------------
% 4.88/1.31 % (2026444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.31 % (2026444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.31 % (2026444)CaDiCaL version: 2.1.3
% 4.88/1.31 % (2026444)Termination reason: Instruction limit
% 4.88/1.31 % (2026444)Termination phase: Saturation
% 4.88/1.31 % (2026444)Time elapsed: 0.052 s
% 4.88/1.31 % (2026444)Peak memory usage: 90 MB
% 4.88/1.31 % (2026444)Instructions burned: 160 (million)
% 4.88/1.31 % (2026446)Instruction limit reached!
% 4.88/1.31 % (2026446)------------------------------
% 4.88/1.31 % (2026446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.31 % (2026446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.31 % (2026446)CaDiCaL version: 2.1.3
% 4.88/1.31 % (2026446)Termination reason: Instruction limit
% 4.88/1.31 % (2026446)Termination phase: Saturation
% 4.88/1.31 % (2026446)Time elapsed: 0.032 s
% 4.88/1.31 % (2026446)Peak memory usage: 90 MB
% 4.88/1.31 % (2026446)Instructions burned: 106 (million)
% 4.88/1.31 % (2026449)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2384059740:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 4.88/1.31 % (2026452)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2897091738:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 4.88/1.31 % (2026449)Instruction limit reached!
% 4.88/1.31 % (2026449)------------------------------
% 4.88/1.31 % (2026449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.88/1.31 % (2026449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.31 % (2026449)CaDiCaL version: 2.1.3
% 4.88/1.31 % (2026449)Termination reason: Instruction limit
% 4.88/1.31 % (2026449)Termination phase: Saturation
% 4.88/1.31 % (2026449)Time elapsed: 0.038 s
% 4.88/1.31 % (2026449)Peak memory usage: 89 MB
% 4.88/1.31 % (2026449)Instructions burned: 107 (million)
% 4.88/1.31 % (2026453)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2864522687:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 4.88/1.31 % (2026423)Refutation found. Thanks to Tanya!
% 4.88/1.31 % SZS status Unsatisfiable for theBenchmark
% 4.88/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 5.68/1.41 % (2026423)------------------------------
% 5.68/1.41 % (2026423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.41 % (2026423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.41 % (2026423)CaDiCaL version: 2.1.3
% 5.68/1.41 % (2026423)Termination reason: Refutation
% 5.68/1.41 % (2026423)Time elapsed: 0.470 s
% 5.68/1.41 % (2026423)Peak memory usage: 129 MB
% 5.68/1.41 % (2026423)Instructions burned: 1239 (million)
% 5.68/1.41 % (2026423)------------------------------
% 5.68/1.41 % (2026423)------------------------------
% 5.68/1.41 % (2026416)Success in time 0.777 s
% 5.68/1.41 % Vampire exiting
%------------------------------------------------------------------------------