%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO111+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 : Theorem 2.73s 1.30s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 91 ( 23 unt; 6 def)
% Number of atoms : 308 ( 26 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 350 ( 133 ~; 126 |; 73 &)
% ( 13 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 123 ( 0 sgn 108 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn) ).
fof(f3,axiom,
! [X0,X1] :
( end_point(X0,X1)
<=> ( incident_c(X0,X1)
& ! [X2,X3] :
( ( 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/sandbox2/benchmark/theBenchmark.p',end_point_defn) ).
fof(f4,axiom,
! [X0,X1] :
( inner_point(X0,X1)
<=> ( incident_c(X0,X1)
& ~ end_point(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn) ).
fof(f17,axiom,
! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
<=> ( X1 != X3
& ? [X4] :
( part_of(X4,X0)
& end_point(X1,X4)
& end_point(X3,X4)
& inner_point(X2,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn) ).
fof(f18,conjecture,
! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
=> ( incident_c(X1,X0)
& incident_c(X2,X0)
& incident_c(X3,X0)
& X1 != X2
& X2 != X3
& X1 != X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_8_1) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
=> ( incident_c(X1,X0)
& incident_c(X2,X0)
& incident_c(X3,X0)
& X1 != X2
& X2 != X3
& X1 != X3 ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
=> ( X1 != X3
& ? [X4] :
( part_of(X4,X0)
& end_point(X1,X4)
& end_point(X3,X4)
& inner_point(X2,X4) ) ) ),
inference(unused_predicate_definition_removal,[],[f17]) ).
fof(f23,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f24,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) ) ),
inference(flattening,[],[f24]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( ( X1 != X3
& ? [X4] :
( part_of(X4,X0)
& end_point(X1,X4)
& end_point(X3,X4)
& inner_point(X2,X4) ) )
| ~ between_c(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f43,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_c(X1,X0)
| ~ incident_c(X2,X0)
| ~ incident_c(X3,X0)
| X1 = X2
| X2 = X3
| X1 = X3 )
& between_c(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f19]) ).
fof(f44,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f45,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK0(X0,X1),X0)
& incident_c(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f45]) ).
fof(f51,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ? [X2,X3] :
( ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) ) )
& ( ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) )
| ~ end_point(X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f52,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ? [X2,X3] :
( ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) ) )
& ( ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) )
| ~ end_point(X0,X1) ) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ? [X2,X3] :
( ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) ) )
& ( ( incident_c(X0,X1)
& ! [X4,X5] :
( part_of(X4,X5)
| part_of(X5,X4)
| ~ part_of(X4,X1)
| ~ part_of(X5,X1)
| ~ incident_c(X0,X4)
| ~ incident_c(X0,X5) ) )
| ~ end_point(X0,X1) ) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ( ~ part_of(sK2(X0,X1),sK3(X0,X1))
& ~ part_of(sK3(X0,X1),sK2(X0,X1))
& part_of(sK2(X0,X1),X1)
& part_of(sK3(X0,X1),X1)
& incident_c(X0,sK2(X0,X1))
& incident_c(X0,sK3(X0,X1)) ) )
& ( ( incident_c(X0,X1)
& ! [X4,X5] :
( part_of(X4,X5)
| part_of(X5,X4)
| ~ part_of(X4,X1)
| ~ part_of(X5,X1)
| ~ incident_c(X0,X4)
| ~ incident_c(X0,X5) ) )
| ~ end_point(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( ( inner_point(X0,X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) )
& ( ( incident_c(X0,X1)
& ~ end_point(X0,X1) )
| ~ inner_point(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f56,plain,
! [X0,X1] :
( ( inner_point(X0,X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) )
& ( ( incident_c(X0,X1)
& ~ end_point(X0,X1) )
| ~ inner_point(X0,X1) ) ),
inference(flattening,[],[f55]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( ( X1 != X3
& part_of(sK13(X0,X1,X2,X3),X0)
& end_point(X1,sK13(X0,X1,X2,X3))
& end_point(X3,sK13(X0,X1,X2,X3))
& inner_point(X2,sK13(X0,X1,X2,X3)) )
| ~ between_c(X0,X1,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X4,sK13(X0,X1,X2,X3))],[f42]) ).
fof(f71,plain,
( ( ~ incident_c(sK15,sK14)
| ~ incident_c(sK16,sK14)
| ~ incident_c(sK17,sK14)
| sK15 = sK16
| sK16 = sK17
| sK15 = sK17 )
& between_c(sK14,sK15,sK16,sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17]),skolemize(X0,sK14),skolemize(X1,sK15),skolemize(X2,sK16),skolemize(X3,sK17)],[f43]) ).
fof(f72,plain,
! [X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f82,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f89,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f90,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f113,plain,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| inner_point(X2,sK13(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| end_point(X3,sK13(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| end_point(X1,sK13(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| part_of(sK13(X0,X1,X2,X3),X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f117,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f70]) ).
fof(f118,plain,
between_c(sK14,sK15,sK16,sK17),
inference(cnf_transformation,[],[f71]) ).
fof(f119,plain,
( ~ incident_c(sK15,sK14)
| ~ incident_c(sK16,sK14)
| ~ incident_c(sK17,sK14)
| sK15 = sK16
| sK16 = sK17
| sK15 = sK17 ),
inference(cnf_transformation,[],[f71]) ).
fof(f124,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f117]) ).
fof(f126,definition,
( spl18_1
<=> sK15 = sK17 ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f128,plain,
( sK15 = sK17
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f130,definition,
( spl18_2
<=> sK16 = sK17 ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f132,plain,
( sK16 = sK17
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f134,definition,
( spl18_3
<=> sK15 = sK16 ),
introduced(definition,[new_symbols(definition,[spl18_3])],[avatar_definition]) ).
fof(f136,plain,
( sK15 = sK16
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f138,definition,
( spl18_4
<=> incident_c(sK17,sK14) ),
introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).
fof(f140,plain,
( ~ incident_c(sK17,sK14)
| spl18_4 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f142,definition,
( spl18_5
<=> incident_c(sK16,sK14) ),
introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition]) ).
fof(f144,plain,
( ~ incident_c(sK16,sK14)
| spl18_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f146,definition,
( spl18_6
<=> incident_c(sK15,sK14) ),
introduced(definition,[new_symbols(definition,[spl18_6])],[avatar_definition]) ).
fof(f148,plain,
( ~ incident_c(sK15,sK14)
| spl18_6 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f149,plain,
( spl18_1
| spl18_2
| spl18_3
| ~ spl18_4
| ~ spl18_5
| ~ spl18_6 ),
inference(avatar_split_clause,[],[f119,f146,f142,f138,f134,f130,f126]) ).
fof(f152,plain,
( ! [X0] :
( ~ part_of(X0,sK14)
| ~ incident_c(sK17,X0) )
| spl18_4 ),
inference(resolution,[],[f72,f140]) ).
fof(f193,plain,
inner_point(sK16,sK13(sK14,sK15,sK16,sK17)),
inference(resolution,[],[f113,f118]) ).
fof(f195,plain,
incident_c(sK16,sK13(sK14,sK15,sK16,sK17)),
inference(resolution,[],[f193,f90]) ).
fof(f196,plain,
end_point(sK17,sK13(sK14,sK15,sK16,sK17)),
inference(resolution,[],[f114,f118]) ).
fof(f199,plain,
incident_c(sK17,sK13(sK14,sK15,sK16,sK17)),
inference(resolution,[],[f196,f82]) ).
fof(f200,plain,
end_point(sK15,sK13(sK14,sK15,sK16,sK17)),
inference(resolution,[],[f115,f118]) ).
fof(f203,plain,
incident_c(sK15,sK13(sK14,sK15,sK16,sK17)),
inference(resolution,[],[f200,f82]) ).
fof(f204,plain,
part_of(sK13(sK14,sK15,sK16,sK17),sK14),
inference(resolution,[],[f116,f118]) ).
fof(f206,plain,
( ~ incident_c(sK17,sK13(sK14,sK15,sK16,sK17))
| spl18_4 ),
inference(resolution,[],[f204,f152]) ).
fof(f220,plain,
( $false
| spl18_4 ),
inference(forward_subsumption_resolution,[],[f206,f199]) ).
fof(f221,plain,
spl18_4,
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f222,plain,
( ! [X0] :
( ~ part_of(X0,sK14)
| ~ incident_c(sK16,X0) )
| spl18_5 ),
inference(resolution,[],[f144,f72]) ).
fof(f224,plain,
( ~ incident_c(sK16,sK13(sK14,sK15,sK16,sK17))
| spl18_5 ),
inference(resolution,[],[f222,f204]) ).
fof(f228,plain,
( $false
| spl18_5 ),
inference(forward_subsumption_resolution,[],[f224,f195]) ).
fof(f229,plain,
spl18_5,
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f230,plain,
( ! [X0] :
( ~ part_of(X0,sK14)
| ~ incident_c(sK15,X0) )
| spl18_6 ),
inference(resolution,[],[f148,f72]) ).
fof(f232,plain,
( ~ incident_c(sK15,sK13(sK14,sK15,sK16,sK17))
| spl18_6 ),
inference(resolution,[],[f230,f204]) ).
fof(f236,plain,
( $false
| spl18_6 ),
inference(forward_subsumption_resolution,[],[f232,f203]) ).
fof(f237,plain,
spl18_6,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f238,plain,
( between_c(sK14,sK15,sK15,sK17)
| ~ spl18_3 ),
inference(superposition,[],[f118,f136]) ).
fof(f251,plain,
( end_point(sK15,sK13(sK14,sK15,sK15,sK17))
| ~ spl18_3 ),
inference(resolution,[],[f238,f115]) ).
fof(f253,plain,
( inner_point(sK15,sK13(sK14,sK15,sK15,sK17))
| ~ spl18_3 ),
inference(resolution,[],[f238,f113]) ).
fof(f256,plain,
( ~ inner_point(sK15,sK13(sK14,sK15,sK15,sK17))
| ~ spl18_3 ),
inference(resolution,[],[f251,f89]) ).
fof(f294,plain,
( $false
| ~ spl18_3 ),
inference(forward_subsumption_resolution,[],[f256,f253]) ).
fof(f295,plain,
~ spl18_3,
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f296,plain,
( between_c(sK14,sK15,sK16,sK15)
| ~ spl18_1 ),
inference(superposition,[],[f118,f128]) ).
fof(f307,plain,
( $false
| ~ spl18_1 ),
inference(forward_subsumption_resolution,[],[f296,f124]) ).
fof(f308,plain,
~ spl18_1,
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f309,plain,
( between_c(sK14,sK15,sK16,sK16)
| ~ spl18_2 ),
inference(superposition,[],[f118,f132]) ).
fof(f324,plain,
( end_point(sK16,sK13(sK14,sK15,sK16,sK16))
| ~ spl18_2 ),
inference(resolution,[],[f309,f114]) ).
fof(f325,plain,
( inner_point(sK16,sK13(sK14,sK15,sK16,sK16))
| ~ spl18_2 ),
inference(resolution,[],[f309,f113]) ).
fof(f332,plain,
( ~ inner_point(sK16,sK13(sK14,sK15,sK16,sK16))
| ~ spl18_2 ),
inference(resolution,[],[f324,f89]) ).
fof(f358,plain,
( $false
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f332,f325]) ).
fof(f359,plain,
~ spl18_2,
inference(avatar_contradiction_clause,[],[f358]) ).
cnf(s1,plain,
( spl18_1
| spl18_2
| spl18_3
| ~ spl18_4
| ~ spl18_5
| ~ spl18_6 ),
inference(sat_conversion,[],[f149]) ).
cnf(s2,plain,
spl18_4,
inference(sat_conversion,[],[f221]) ).
cnf(s3,plain,
spl18_5,
inference(sat_conversion,[],[f229]) ).
cnf(s4,plain,
spl18_6,
inference(sat_conversion,[],[f237]) ).
cnf(s6,plain,
~ spl18_3,
inference(sat_conversion,[],[f295]) ).
cnf(s7,plain,
~ spl18_1,
inference(sat_conversion,[],[f308]) ).
cnf(s9,plain,
~ spl18_2,
inference(sat_conversion,[],[f359]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s4,s3,s2,s6,s9,s7]) ).
fof(f360,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO111+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 07:06:45 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 2.73/1.30 % (1305157)Detected formulas, will run a generic FOF schedule.
% 2.73/1.30 % (1305163)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4062186740:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.73/1.30 % (1305168)dis-21_1_sil=8000:lcm=predicate:random_seed=3218362327:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.73/1.30 % (1305166)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2251961854:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.73/1.30 % (1305165)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3753212084:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.73/1.30 % (1305164)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2779014931:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.73/1.30 % (1305162)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=419523390:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.73/1.30 % (1305167)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3658088166:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.73/1.30 % (1305165)Refutation not found, incomplete strategy
% 2.73/1.30 % (1305165)------------------------------
% 2.73/1.30 % (1305165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.30 % (1305165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.30 % (1305165)CaDiCaL version: 2.1.3
% 2.73/1.30 % (1305165)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.30 % (1305165)Time elapsed: 0.004 s
% 2.73/1.30 % (1305165)Peak memory usage: 88 MB
% 2.73/1.30 % (1305165)Instructions burned: 5 (million)
% 2.73/1.30 % (1305167)First to succeed.
% 2.73/1.30 % (1305167)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1305157"
% 2.73/1.30 % (1305166)Also succeeded, but the first one will report.
% 2.73/1.30 % (1305168)Instruction limit reached!
% 2.73/1.30 % (1305168)------------------------------
% 2.73/1.30 % (1305168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.30 % (1305168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.30 % (1305168)CaDiCaL version: 2.1.3
% 2.73/1.30 % (1305168)Termination reason: Instruction limit
% 2.73/1.30 % (1305168)Termination phase: Saturation
% 2.73/1.30 % (1305168)Time elapsed: 0.074 s
% 2.73/1.30 % (1305168)Peak memory usage: 88 MB
% 2.73/1.30 % (1305168)Instructions burned: 130 (million)
% 2.73/1.30 % (1305165)------------------------------
% 2.73/1.30 % (1305165)------------------------------
% 2.73/1.30 % (1305176)lrs+10_1_sil=8000:sp=occurrence:random_seed=3495445780:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.73/1.30 % (1305167)Refutation found. Thanks to Tanya!
% 2.73/1.30 % SZS status Theorem for theBenchmark
% 2.73/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.50 % (1305167)------------------------------
% 3.67/1.50 % (1305167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.50 % (1305167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.50 % (1305167)CaDiCaL version: 2.1.3
% 3.67/1.50 % (1305167)Termination reason: Refutation
% 3.67/1.50 % (1305167)Time elapsed: 0.013 s
% 3.67/1.50 % (1305167)Peak memory usage: 90 MB
% 3.67/1.50 % (1305167)Instructions burned: 15 (million)
% 3.67/1.50 % (1305167)------------------------------
% 3.67/1.50 % (1305167)------------------------------
% 3.67/1.50 % (1305157)Success in time 0.44 s
% 3.67/1.50 % Vampire exiting
%------------------------------------------------------------------------------