%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO076-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 09:53:29 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 39
% Syntax : Number of formulae : 190 ( 33 unt; 25 def)
% Number of atoms : 640 ( 136 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 748 ( 298 ~; 425 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 26 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( on(X0,line_from_to(X0,X1))
| X0 = X1
| ~ point(X0)
| ~ point(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G1A) ).
fof(f2,axiom,
! [X0,X1] :
( on(X0,line_from_to(X1,X0))
| X1 = X0
| ~ point(X1)
| ~ point(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G1B) ).
fof(f3,plain,
! [X0,X1] :
( on(X0,line_from_to(X1,X0))
| X0 = X1
| ~ point(X1)
| ~ point(X0) ),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] :
( line(line_from_to(X0,X1))
| X0 = X1
| ~ point(X0)
| ~ point(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G1C) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ on(X0,X1)
| X0 = X2
| ~ on(X2,X1)
| X1 = X3
| ~ on(X0,X3)
| ~ on(X2,X3)
| ~ point(X0)
| ~ point(X2)
| ~ line(X1)
| ~ line(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G1D) ).
fof(f6,axiom,
! [X0] :
( on(point_1_on_line(X0),X0)
| ~ line(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G2A) ).
fof(f7,axiom,
! [X0] :
( on(point_2_on_line(X0),X0)
| ~ line(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G2B) ).
fof(f8,axiom,
! [X0] :
( point(point_1_on_line(X0))
| ~ line(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G2C) ).
fof(f9,axiom,
! [X0] :
( point(point_2_on_line(X0))
| ~ line(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G2D) ).
fof(f10,axiom,
! [X0] :
( point_1_on_line(X0) != point_2_on_line(X0)
| ~ line(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G2E) ).
fof(f11,axiom,
! [X0] :
( ~ on(point_not_on_line(X0),X0)
| ~ line(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G3A) ).
fof(f12,axiom,
! [X0] :
( point(point_not_on_line(X0))
| ~ line(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G3B) ).
fof(f13,axiom,
line(at_least_one_line),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G4A) ).
fof(f36,axiom,
point(a_point),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_point) ).
fof(f37,negated_conjecture,
! [X0] :
( ~ line(X0)
| on(a_point,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_point_is_not_on_every_line) ).
fof(f38,plain,
! [X0,X1] :
( ~ on(X0,line_from_to(X0,X1))
| X0 = X1
| ~ point(X0)
| ~ point(X1) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f39,plain,
! [X0,X1] :
( ~ on(X0,line_from_to(X1,X0))
| X0 = X1
| ~ point(X1)
| ~ point(X0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f40,plain,
! [X0,X1] :
( ~ line(line_from_to(X0,X1))
| X0 = X1
| ~ point(X0)
| ~ point(X1) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f41,plain,
! [X2,X3,X0,X1] :
( line(X3)
| X0 = X2
| on(X2,X1)
| X1 = X3
| on(X0,X3)
| on(X2,X3)
| ~ point(X0)
| ~ point(X2)
| line(X1)
| on(X0,X1) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f42,plain,
! [X0] :
( line(X0)
| ~ on(point_1_on_line(X0),X0) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f43,plain,
! [X0] :
( line(X0)
| ~ on(point_2_on_line(X0),X0) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f44,plain,
! [X0] :
( point(point_1_on_line(X0))
| line(X0) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f45,plain,
! [X0] :
( point(point_2_on_line(X0))
| line(X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f46,plain,
! [X0] :
( point_1_on_line(X0) != point_2_on_line(X0)
| line(X0) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f47,plain,
! [X0] :
( line(X0)
| on(point_not_on_line(X0),X0) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f48,plain,
! [X0] :
( point(point_not_on_line(X0))
| line(X0) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f49,plain,
~ line(at_least_one_line),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f69,plain,
! [X0] :
( line(X0)
| ~ on(a_point,X0) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f70,plain,
~ on(a_point,at_least_one_line),
inference(resolution,[],[f49,f69]) ).
fof(f71,plain,
~ on(point_1_on_line(at_least_one_line),at_least_one_line),
inference(resolution,[],[f42,f49]) ).
fof(f72,plain,
~ on(point_2_on_line(at_least_one_line),at_least_one_line),
inference(resolution,[],[f43,f49]) ).
fof(f73,plain,
on(point_not_on_line(at_least_one_line),at_least_one_line),
inference(resolution,[],[f47,f49]) ).
fof(f77,plain,
! [X0,X1] :
( ~ on(a_point,line_from_to(X0,X1))
| ~ point(X0)
| ~ point(X1)
| X0 = X1 ),
inference(resolution,[],[f40,f69]) ).
fof(f115,plain,
! [X2,X0,X1] :
( line(X2)
| on(X1,X2)
| at_least_one_line = X2
| on(X0,at_least_one_line)
| on(X1,at_least_one_line)
| ~ point(X0)
| ~ point(X1)
| X0 = X1
| on(X0,X2) ),
inference(resolution,[],[f41,f49]) ).
fof(f118,plain,
! [X2,X3,X0,X1] :
( on(X3,at_least_one_line)
| at_least_one_line = line_from_to(X1,X2)
| on(X0,line_from_to(X1,X2))
| on(X0,at_least_one_line)
| ~ point(X3)
| ~ point(X0)
| X0 = X3
| on(X3,line_from_to(X1,X2))
| X1 = X2
| ~ point(X1)
| ~ point(X2) ),
inference(resolution,[],[f115,f40]) ).
fof(f127,definition,
( spl0_1
<=> point(point_2_on_line(at_least_one_line)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f129,plain,
( ~ point(point_2_on_line(at_least_one_line))
| spl0_1 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f135,definition,
( spl0_3
<=> point(point_1_on_line(at_least_one_line)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f137,plain,
( ~ point(point_1_on_line(at_least_one_line))
| spl0_3 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f143,definition,
( spl0_5
<=> point(a_point) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f145,plain,
( ~ point(a_point)
| spl0_5 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f150,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f145,f36]) ).
fof(f151,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f150]) ).
fof(f156,plain,
( line(at_least_one_line)
| spl0_1 ),
inference(resolution,[],[f129,f45]) ).
fof(f157,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f156,f49]) ).
fof(f158,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f160,definition,
( spl0_7
<=> a_point = point_2_on_line(at_least_one_line) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f162,plain,
( a_point = point_2_on_line(at_least_one_line)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f171,definition,
( spl0_9
<=> line(at_least_one_line) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f173,plain,
( line(at_least_one_line)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f175,definition,
( spl0_10
<=> a_point = point_1_on_line(at_least_one_line) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f180,plain,
( line(at_least_one_line)
| spl0_3 ),
inference(resolution,[],[f137,f44]) ).
fof(f181,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f180,f135,f171]) ).
fof(f186,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f173,f49]) ).
fof(f187,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f230,definition,
( spl0_16
<=> point_1_on_line(at_least_one_line) = point_2_on_line(at_least_one_line) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f231,plain,
( point_1_on_line(at_least_one_line) != point_2_on_line(at_least_one_line)
| spl0_16 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( point_1_on_line(at_least_one_line) = point_2_on_line(at_least_one_line)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f241,plain,
( point_1_on_line(at_least_one_line) != point_1_on_line(at_least_one_line)
| line(at_least_one_line)
| ~ spl0_16 ),
inference(superposition,[],[f46,f232]) ).
fof(f243,plain,
( line(at_least_one_line)
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f241]) ).
fof(f244,plain,
( spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f243,f230,f171]) ).
fof(f246,plain,
( a_point != point_1_on_line(at_least_one_line)
| ~ spl0_7
| spl0_16 ),
inference(superposition,[],[f231,f162]) ).
fof(f371,plain,
! [X2,X0,X1] :
( line_from_to(X0,X1) = at_least_one_line
| on(X2,line_from_to(X0,X1))
| on(X2,at_least_one_line)
| ~ point(a_point)
| ~ point(X2)
| a_point = X2
| on(a_point,line_from_to(X0,X1))
| X0 = X1
| ~ point(X0)
| ~ point(X1) ),
inference(resolution,[],[f118,f70]) ).
fof(f383,definition,
( spl0_34
<=> ! [X2,X0,X1] :
( line_from_to(X0,X1) = at_least_one_line
| ~ point(X1)
| ~ point(X0)
| X0 = X1
| on(a_point,line_from_to(X0,X1))
| a_point = X2
| ~ point(X2)
| on(X2,at_least_one_line)
| on(X2,line_from_to(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f384,plain,
( ! [X2,X0,X1] :
( on(a_point,line_from_to(X0,X1))
| ~ point(X1)
| ~ point(X0)
| X0 = X1
| line_from_to(X0,X1) = at_least_one_line
| a_point = X2
| ~ point(X2)
| on(X2,at_least_one_line)
| on(X2,line_from_to(X0,X1)) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f385,plain,
( ~ spl0_5
| spl0_34 ),
inference(avatar_split_clause,[],[f371,f383,f143]) ).
fof(f386,plain,
( ! [X2,X0,X1] :
( ~ point(X0)
| ~ point(X1)
| X0 = X1
| line_from_to(X1,X0) = at_least_one_line
| a_point = X2
| ~ point(X2)
| on(X2,at_least_one_line)
| on(X2,line_from_to(X1,X0))
| ~ point(X1)
| ~ point(X0)
| X0 = X1 )
| ~ spl0_34 ),
inference(resolution,[],[f384,f77]) ).
fof(f387,plain,
( ! [X0,X1] :
( ~ point(X0)
| ~ point(a_point)
| a_point = X0
| at_least_one_line = line_from_to(a_point,X0)
| a_point = X1
| ~ point(X1)
| on(X1,at_least_one_line)
| on(X1,line_from_to(a_point,X0))
| a_point = X0
| ~ point(a_point)
| ~ point(X0) )
| ~ spl0_34 ),
inference(resolution,[],[f384,f38]) ).
fof(f390,plain,
( ! [X0,X1] :
( ~ point(X0)
| ~ point(a_point)
| a_point = X0
| at_least_one_line = line_from_to(a_point,X0)
| a_point = X1
| ~ point(X1)
| on(X1,at_least_one_line)
| on(X1,line_from_to(a_point,X0)) )
| ~ spl0_34 ),
inference(duplicate_literal_removal,[],[f387]) ).
fof(f391,plain,
( ! [X2,X0,X1] :
( on(X2,at_least_one_line)
| ~ point(X1)
| X0 = X1
| line_from_to(X1,X0) = at_least_one_line
| a_point = X2
| ~ point(X2)
| ~ point(X0)
| on(X2,line_from_to(X1,X0)) )
| ~ spl0_34 ),
inference(duplicate_literal_removal,[],[f386]) ).
fof(f397,definition,
( spl0_36
<=> ! [X0,X1] :
( ~ point(X0)
| a_point = X1
| on(X1,line_from_to(a_point,X0))
| on(X1,at_least_one_line)
| ~ point(X1)
| at_least_one_line = line_from_to(a_point,X0)
| a_point = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f398,plain,
( ! [X0,X1] :
( on(X1,at_least_one_line)
| a_point = X1
| on(X1,line_from_to(a_point,X0))
| ~ point(X0)
| ~ point(X1)
| at_least_one_line = line_from_to(a_point,X0)
| a_point = X0 )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f399,plain,
( ~ spl0_5
| spl0_36
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f390,f383,f397,f143]) ).
fof(f422,plain,
( ! [X0] :
( a_point = point_1_on_line(at_least_one_line)
| on(point_1_on_line(at_least_one_line),line_from_to(a_point,X0))
| ~ point(X0)
| ~ point(point_1_on_line(at_least_one_line))
| at_least_one_line = line_from_to(a_point,X0)
| a_point = X0 )
| ~ spl0_36 ),
inference(resolution,[],[f398,f71]) ).
fof(f423,plain,
( ! [X0] :
( a_point = point_2_on_line(at_least_one_line)
| on(point_2_on_line(at_least_one_line),line_from_to(a_point,X0))
| ~ point(X0)
| ~ point(point_2_on_line(at_least_one_line))
| at_least_one_line = line_from_to(a_point,X0)
| a_point = X0 )
| ~ spl0_36 ),
inference(resolution,[],[f398,f72]) ).
fof(f425,definition,
( spl0_39
<=> ! [X0] :
( on(point_1_on_line(at_least_one_line),line_from_to(a_point,X0))
| a_point = X0
| at_least_one_line = line_from_to(a_point,X0)
| ~ point(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f426,plain,
( ! [X0] :
( on(point_1_on_line(at_least_one_line),line_from_to(a_point,X0))
| a_point = X0
| at_least_one_line = line_from_to(a_point,X0)
| ~ point(X0) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f427,plain,
( ~ spl0_3
| spl0_39
| spl0_10
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f422,f397,f175,f425,f135]) ).
fof(f477,definition,
( spl0_50
<=> ! [X0] :
( on(point_2_on_line(at_least_one_line),line_from_to(a_point,X0))
| a_point = X0
| at_least_one_line = line_from_to(a_point,X0)
| ~ point(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f478,plain,
( ! [X0] :
( on(point_2_on_line(at_least_one_line),line_from_to(a_point,X0))
| a_point = X0
| at_least_one_line = line_from_to(a_point,X0)
| ~ point(X0) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( ~ spl0_1
| spl0_50
| spl0_7
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f423,f397,f160,f477,f127]) ).
fof(f480,plain,
( ~ spl0_10
| ~ spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f246,f230,f160,f175]) ).
fof(f558,plain,
( a_point = point_1_on_line(at_least_one_line)
| at_least_one_line = line_from_to(a_point,point_1_on_line(at_least_one_line))
| ~ point(point_1_on_line(at_least_one_line))
| a_point = point_1_on_line(at_least_one_line)
| ~ point(a_point)
| ~ point(point_1_on_line(at_least_one_line))
| ~ spl0_39 ),
inference(resolution,[],[f426,f39]) ).
fof(f559,plain,
( a_point = point_1_on_line(at_least_one_line)
| at_least_one_line = line_from_to(a_point,point_1_on_line(at_least_one_line))
| ~ point(point_1_on_line(at_least_one_line))
| ~ point(a_point)
| ~ spl0_39 ),
inference(duplicate_literal_removal,[],[f558]) ).
fof(f561,definition,
( spl0_56
<=> at_least_one_line = line_from_to(a_point,point_1_on_line(at_least_one_line)) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f564,plain,
( ~ spl0_5
| ~ spl0_3
| spl0_56
| spl0_10
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f559,f425,f175,f561,f135,f143]) ).
fof(f631,plain,
( a_point = point_2_on_line(at_least_one_line)
| at_least_one_line = line_from_to(a_point,point_2_on_line(at_least_one_line))
| ~ point(point_2_on_line(at_least_one_line))
| a_point = point_2_on_line(at_least_one_line)
| ~ point(a_point)
| ~ point(point_2_on_line(at_least_one_line))
| ~ spl0_50 ),
inference(resolution,[],[f478,f39]) ).
fof(f632,plain,
( a_point = point_2_on_line(at_least_one_line)
| at_least_one_line = line_from_to(a_point,point_2_on_line(at_least_one_line))
| ~ point(point_2_on_line(at_least_one_line))
| ~ point(a_point)
| ~ spl0_50 ),
inference(duplicate_literal_removal,[],[f631]) ).
fof(f634,definition,
( spl0_59
<=> at_least_one_line = line_from_to(a_point,point_2_on_line(at_least_one_line)) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f637,plain,
( ~ spl0_5
| ~ spl0_1
| spl0_59
| spl0_7
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f632,f477,f160,f634,f127,f143]) ).
fof(f675,definition,
( spl0_61
<=> a_point = point_not_on_line(at_least_one_line) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f677,plain,
( a_point = point_not_on_line(at_least_one_line)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f683,plain,
( on(a_point,at_least_one_line)
| ~ spl0_61 ),
inference(superposition,[],[f73,f677]) ).
fof(f685,plain,
( $false
| ~ spl0_61 ),
inference(resolution,[],[f683,f70]) ).
fof(f686,plain,
~ spl0_61,
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f698,definition,
( spl0_63
<=> point(point_not_on_line(at_least_one_line)) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f699,plain,
( point(point_not_on_line(at_least_one_line))
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f700,plain,
( ~ point(point_not_on_line(at_least_one_line))
| spl0_63 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f702,definition,
( spl0_64
<=> on(point_not_on_line(at_least_one_line),at_least_one_line) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f704,plain,
( ~ on(point_not_on_line(at_least_one_line),at_least_one_line)
| spl0_64 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f706,plain,
( line(at_least_one_line)
| spl0_63 ),
inference(resolution,[],[f700,f48]) ).
fof(f707,plain,
( spl0_9
| spl0_63 ),
inference(avatar_split_clause,[],[f706,f698,f171]) ).
fof(f730,plain,
( $false
| spl0_64 ),
inference(resolution,[],[f704,f73]) ).
fof(f752,plain,
spl0_64,
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f758,definition,
( spl0_68
<=> point_2_on_line(at_least_one_line) = point_not_on_line(at_least_one_line) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f760,plain,
( point_2_on_line(at_least_one_line) = point_not_on_line(at_least_one_line)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f762,definition,
( spl0_69
<=> point_1_on_line(at_least_one_line) = point_not_on_line(at_least_one_line) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f764,plain,
( point_1_on_line(at_least_one_line) = point_not_on_line(at_least_one_line)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f1054,definition,
( spl0_106
<=> at_least_one_line = line_from_to(a_point,point_not_on_line(at_least_one_line)) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f1055,plain,
( at_least_one_line != line_from_to(a_point,point_not_on_line(at_least_one_line))
| spl0_106 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1056,plain,
( at_least_one_line = line_from_to(a_point,point_not_on_line(at_least_one_line))
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f1059,plain,
( ~ on(point_not_on_line(at_least_one_line),at_least_one_line)
| a_point = point_not_on_line(at_least_one_line)
| ~ point(a_point)
| ~ point(point_not_on_line(at_least_one_line))
| ~ spl0_106 ),
inference(superposition,[],[f39,f1056]) ).
fof(f1070,plain,
( ~ spl0_63
| ~ spl0_5
| spl0_61
| ~ spl0_64
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1059,f1054,f702,f675,f143,f698]) ).
fof(f1560,plain,
( ! [X0,X1] :
( ~ point(X0)
| X0 = X1
| line_from_to(X0,X1) = at_least_one_line
| a_point = point_1_on_line(at_least_one_line)
| ~ point(point_1_on_line(at_least_one_line))
| ~ point(X1)
| on(point_1_on_line(at_least_one_line),line_from_to(X0,X1)) )
| ~ spl0_34 ),
inference(resolution,[],[f391,f71]) ).
fof(f1561,plain,
( ! [X0,X1] :
( ~ point(X0)
| X0 = X1
| line_from_to(X0,X1) = at_least_one_line
| a_point = point_2_on_line(at_least_one_line)
| ~ point(point_2_on_line(at_least_one_line))
| ~ point(X1)
| on(point_2_on_line(at_least_one_line),line_from_to(X0,X1)) )
| ~ spl0_34 ),
inference(resolution,[],[f391,f72]) ).
fof(f1564,definition,
( spl0_127
<=> ! [X0,X1] :
( ~ point(X0)
| on(point_1_on_line(at_least_one_line),line_from_to(X0,X1))
| ~ point(X1)
| line_from_to(X0,X1) = at_least_one_line
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f1565,plain,
( ! [X0,X1] :
( on(point_1_on_line(at_least_one_line),line_from_to(X0,X1))
| ~ point(X0)
| ~ point(X1)
| line_from_to(X0,X1) = at_least_one_line
| X0 = X1 )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f1566,plain,
( ~ spl0_3
| spl0_10
| spl0_127
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1560,f383,f1564,f175,f135]) ).
fof(f1568,plain,
( ! [X0] :
( ~ point(X0)
| ~ point(point_1_on_line(at_least_one_line))
| at_least_one_line = line_from_to(X0,point_1_on_line(at_least_one_line))
| point_1_on_line(at_least_one_line) = X0
| point_1_on_line(at_least_one_line) = X0
| ~ point(X0)
| ~ point(point_1_on_line(at_least_one_line)) )
| ~ spl0_127 ),
inference(resolution,[],[f1565,f39]) ).
fof(f1569,plain,
( ! [X0] :
( ~ point(X0)
| ~ point(point_1_on_line(at_least_one_line))
| at_least_one_line = line_from_to(X0,point_1_on_line(at_least_one_line))
| point_1_on_line(at_least_one_line) = X0 )
| ~ spl0_127 ),
inference(duplicate_literal_removal,[],[f1568]) ).
fof(f1572,definition,
( spl0_128
<=> ! [X0] :
( ~ point(X0)
| point_1_on_line(at_least_one_line) = X0
| at_least_one_line = line_from_to(X0,point_1_on_line(at_least_one_line)) ) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f1573,plain,
( ! [X0] :
( ~ point(X0)
| point_1_on_line(at_least_one_line) = X0
| at_least_one_line = line_from_to(X0,point_1_on_line(at_least_one_line)) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f1574,plain,
( ~ spl0_3
| spl0_128
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1569,f1564,f1572,f135]) ).
fof(f1584,plain,
( point_1_on_line(at_least_one_line) = point_not_on_line(at_least_one_line)
| at_least_one_line = line_from_to(point_not_on_line(at_least_one_line),point_1_on_line(at_least_one_line))
| ~ spl0_63
| ~ spl0_128 ),
inference(resolution,[],[f1573,f699]) ).
fof(f1590,definition,
( spl0_130
<=> at_least_one_line = line_from_to(point_not_on_line(at_least_one_line),point_1_on_line(at_least_one_line)) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f1592,plain,
( at_least_one_line = line_from_to(point_not_on_line(at_least_one_line),point_1_on_line(at_least_one_line))
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f1593,plain,
( spl0_130
| spl0_69
| ~ spl0_63
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1584,f1572,f698,f762,f1590]) ).
fof(f1616,plain,
( ~ on(point_not_on_line(at_least_one_line),at_least_one_line)
| point_1_on_line(at_least_one_line) = point_not_on_line(at_least_one_line)
| ~ point(point_not_on_line(at_least_one_line))
| ~ point(point_1_on_line(at_least_one_line))
| ~ spl0_130 ),
inference(superposition,[],[f38,f1592]) ).
fof(f1631,plain,
( ~ spl0_3
| ~ spl0_63
| spl0_69
| ~ spl0_64
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1616,f1590,f702,f762,f698,f135]) ).
fof(f1671,plain,
( at_least_one_line != line_from_to(a_point,point_1_on_line(at_least_one_line))
| ~ spl0_69
| spl0_106 ),
inference(superposition,[],[f1055,f764]) ).
fof(f1687,plain,
( ~ spl0_56
| ~ spl0_69
| spl0_106 ),
inference(avatar_split_clause,[],[f1671,f1054,f762,f561]) ).
fof(f1709,definition,
( spl0_136
<=> ! [X0,X1] :
( ~ point(X0)
| on(point_2_on_line(at_least_one_line),line_from_to(X0,X1))
| ~ point(X1)
| line_from_to(X0,X1) = at_least_one_line
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f1710,plain,
( ! [X0,X1] :
( on(point_2_on_line(at_least_one_line),line_from_to(X0,X1))
| ~ point(X0)
| ~ point(X1)
| line_from_to(X0,X1) = at_least_one_line
| X0 = X1 )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f1711,plain,
( ~ spl0_1
| spl0_7
| spl0_136
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1561,f383,f1709,f160,f127]) ).
fof(f1995,plain,
( ! [X0] :
( ~ point(X0)
| ~ point(point_2_on_line(at_least_one_line))
| at_least_one_line = line_from_to(X0,point_2_on_line(at_least_one_line))
| point_2_on_line(at_least_one_line) = X0
| point_2_on_line(at_least_one_line) = X0
| ~ point(X0)
| ~ point(point_2_on_line(at_least_one_line)) )
| ~ spl0_136 ),
inference(resolution,[],[f1710,f39]) ).
fof(f1996,plain,
( ! [X0] :
( ~ point(X0)
| ~ point(point_2_on_line(at_least_one_line))
| at_least_one_line = line_from_to(X0,point_2_on_line(at_least_one_line))
| point_2_on_line(at_least_one_line) = X0 )
| ~ spl0_136 ),
inference(duplicate_literal_removal,[],[f1995]) ).
fof(f1999,definition,
( spl0_147
<=> ! [X0] :
( ~ point(X0)
| point_2_on_line(at_least_one_line) = X0
| at_least_one_line = line_from_to(X0,point_2_on_line(at_least_one_line)) ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f2000,plain,
( ! [X0] :
( ~ point(X0)
| point_2_on_line(at_least_one_line) = X0
| at_least_one_line = line_from_to(X0,point_2_on_line(at_least_one_line)) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f2001,plain,
( ~ spl0_1
| spl0_147
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1996,f1709,f1999,f127]) ).
fof(f2011,plain,
( point_2_on_line(at_least_one_line) = point_not_on_line(at_least_one_line)
| at_least_one_line = line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line))
| ~ spl0_63
| ~ spl0_147 ),
inference(resolution,[],[f2000,f699]) ).
fof(f2017,definition,
( spl0_149
<=> at_least_one_line = line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line)) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f2019,plain,
( at_least_one_line = line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line))
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f2017]) ).
fof(f2020,plain,
( spl0_149
| spl0_68
| ~ spl0_63
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2011,f1999,f698,f758,f2017]) ).
fof(f2070,plain,
( at_least_one_line != line_from_to(a_point,point_2_on_line(at_least_one_line))
| ~ spl0_68
| spl0_106 ),
inference(superposition,[],[f1055,f760]) ).
fof(f2082,plain,
( ~ spl0_59
| ~ spl0_68
| spl0_106 ),
inference(avatar_split_clause,[],[f2070,f1054,f758,f634]) ).
fof(f2084,plain,
( ~ on(point_not_on_line(at_least_one_line),at_least_one_line)
| point_2_on_line(at_least_one_line) = point_not_on_line(at_least_one_line)
| ~ point(point_not_on_line(at_least_one_line))
| ~ point(point_2_on_line(at_least_one_line))
| ~ spl0_149 ),
inference(superposition,[],[f38,f2019]) ).
fof(f2103,plain,
( ~ spl0_1
| ~ spl0_63
| spl0_68
| ~ spl0_64
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f2084,f2017,f702,f758,f698,f127]) ).
cnf(s4,plain,
spl0_5,
inference(sat_conversion,[],[f151]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f158]) ).
cnf(s8,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f181]) ).
cnf(s11,plain,
~ spl0_9,
inference(sat_conversion,[],[f187]) ).
cnf(s17,plain,
( spl0_9
| ~ spl0_16 ),
inference(sat_conversion,[],[f244]) ).
cnf(s36,plain,
( ~ spl0_5
| spl0_34 ),
inference(sat_conversion,[],[f385]) ).
cnf(s38,plain,
( ~ spl0_5
| ~ spl0_34
| spl0_36 ),
inference(sat_conversion,[],[f399]) ).
cnf(s41,plain,
( ~ spl0_3
| spl0_10
| ~ spl0_36
| spl0_39 ),
inference(sat_conversion,[],[f427]) ).
cnf(s52,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_36
| spl0_50 ),
inference(sat_conversion,[],[f479]) ).
cnf(s53,plain,
( ~ spl0_7
| ~ spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f480]) ).
cnf(s57,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_10
| ~ spl0_39
| spl0_56 ),
inference(sat_conversion,[],[f564]) ).
cnf(s61,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_7
| ~ spl0_50
| spl0_59 ),
inference(sat_conversion,[],[f637]) ).
cnf(s65,plain,
~ spl0_61,
inference(sat_conversion,[],[f686]) ).
cnf(s67,plain,
( spl0_9
| spl0_63 ),
inference(sat_conversion,[],[f707]) ).
cnf(s70,plain,
spl0_64,
inference(sat_conversion,[],[f752]) ).
cnf(s108,plain,
( ~ spl0_5
| spl0_61
| ~ spl0_63
| ~ spl0_64
| ~ spl0_106 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s134,plain,
( ~ spl0_3
| spl0_10
| ~ spl0_34
| spl0_127 ),
inference(sat_conversion,[],[f1566]) ).
cnf(s135,plain,
( ~ spl0_3
| ~ spl0_127
| spl0_128 ),
inference(sat_conversion,[],[f1574]) ).
cnf(s137,plain,
( ~ spl0_63
| spl0_69
| ~ spl0_128
| spl0_130 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s139,plain,
( ~ spl0_3
| ~ spl0_63
| ~ spl0_64
| spl0_69
| ~ spl0_130 ),
inference(sat_conversion,[],[f1631]) ).
cnf(s140,plain,
( ~ spl0_56
| ~ spl0_69
| spl0_106 ),
inference(sat_conversion,[],[f1687]) ).
cnf(s147,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_34
| spl0_136 ),
inference(sat_conversion,[],[f1711]) ).
cnf(s159,plain,
( ~ spl0_1
| ~ spl0_136
| spl0_147 ),
inference(sat_conversion,[],[f2001]) ).
cnf(s161,plain,
( ~ spl0_63
| spl0_68
| ~ spl0_147
| spl0_149 ),
inference(sat_conversion,[],[f2020]) ).
cnf(s165,plain,
( ~ spl0_59
| ~ spl0_68
| spl0_106 ),
inference(sat_conversion,[],[f2082]) ).
cnf(s167,plain,
( ~ spl0_1
| ~ spl0_63
| ~ spl0_64
| spl0_68
| ~ spl0_149 ),
inference(sat_conversion,[],[f2103]) ).
cnf(s170,plain,
spl0_63,
inference(rat,[],[s67,s11]) ).
cnf(s171,plain,
~ spl0_16,
inference(rat,[],[s17,s11]) ).
cnf(s172,plain,
spl0_3,
inference(rat,[],[s8,s11]) ).
cnf(s178,plain,
~ spl0_106,
inference(rat,[],[s108,s170,s70,s65,s4]) ).
cnf(s184,plain,
spl0_34,
inference(rat,[],[s36,s4]) ).
cnf(s195,plain,
spl0_36,
inference(rat,[],[s38,s4,s184]) ).
cnf(s210,plain,
( spl0_68
| ~ spl0_147 ),
inference(rat,[],[s167,s161,s5,s170,s70]) ).
cnf(s211,plain,
spl0_7,
inference(rat,[],[s210,s165,s61,s159,s52,s147,s178,s5,s4,s195,s184]) ).
cnf(s214,plain,
~ spl0_10,
inference(rat,[],[s53,s171,s211]) ).
cnf(s215,plain,
spl0_127,
inference(rat,[],[s134,s184,s172,s214]) ).
cnf(s216,plain,
spl0_39,
inference(rat,[],[s41,s195,s172,s214]) ).
cnf(s221,plain,
spl0_128,
inference(rat,[],[s135,s172,s215]) ).
cnf(s222,plain,
spl0_56,
inference(rat,[],[s57,s214,s4,s172,s216]) ).
cnf(s234,plain,
~ spl0_69,
inference(rat,[],[s140,s178,s222]) ).
cnf(s235,plain,
spl0_130,
inference(rat,[],[s137,s221,s170,s234]) ).
cnf(s236,plain,
$false,
inference(rat,[],[s139,s172,s170,s70,s235,s234]) ).
fof(f2104,plain,
$false,
inference(avatar_sat_refutation,[],[s236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO076-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n014.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 06:51:47 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.54 % (457885)Will run a generic schedule for satisfiability detection.
% 0.18/0.54 % (457895)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3873732453:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.54 % (457891)% WARNING: option uhcvi not known.
% 0.18/0.54 % (457890)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2404180010_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.54 % (457891)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1122301481:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.54 % (457892)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2908078706:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.54 % (457893)dis+10_1_sil=32000:sp=arity:random_seed=35499228:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.54 % (457894)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=491312586:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.54 % (457896)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2238026353:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.54 % TRYING [1]
% 0.18/0.54 % TRYING [2]
% 0.18/0.54 % TRYING [3]
% 0.18/0.54 % TRYING [4]
% 0.18/0.54 % TRYING [5]
% 0.18/0.54 % (457895)Instruction limit reached!
% 0.18/0.54 % (457895)------------------------------
% 0.18/0.54 % (457895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.54 % (457895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.54 % (457895)CaDiCaL version: 2.1.3
% 0.18/0.54 % (457895)Termination reason: Instruction limit
% 0.18/0.54 % (457895)Termination phase: Saturation
% 0.18/0.54 % (457895)Time elapsed: 0.038 s
% 0.18/0.54 % (457895)Peak memory usage: 12 MB
% 0.18/0.54 % (457895)Instructions burned: 134 (million)
% 0.18/0.54 % (457904)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=637882499:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.54 % TRYING [1]
% 0.18/0.54 % TRYING [2]
% 0.18/0.54 % TRYING [3]
% 0.18/0.54 % TRYING [4]
% 0.18/0.54 % TRYING [6]
% 0.18/0.54 % (457893)Instruction limit reached!
% 0.18/0.54 % (457893)------------------------------
% 0.18/0.54 % (457893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.54 % (457893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.54 % (457893)CaDiCaL version: 2.1.3
% 0.18/0.54 % (457893)Termination reason: Instruction limit
% 0.18/0.54 % (457893)Termination phase: Saturation
% 0.18/0.54 % (457893)Time elapsed: 0.057 s
% 0.18/0.54 % (457893)Peak memory usage: 12 MB
% 0.18/0.54 % (457893)Instructions burned: 104 (million)
% 0.18/0.54 % (457894)Instruction limit reached!
% 0.18/0.54 % (457894)------------------------------
% 0.18/0.54 % (457894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.54 % (457894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.54 % (457894)CaDiCaL version: 2.1.3
% 0.18/0.54 % (457894)Termination reason: Instruction limit
% 0.18/0.54 % (457894)Termination phase: Saturation
% 0.18/0.54 % (457894)Time elapsed: 0.060 s
% 0.18/0.54 % (457894)Peak memory usage: 13 MB
% 0.18/0.54 % (457894)Instructions burned: 116 (million)
% 0.18/0.54 % (457896) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-457885-457896"...
% 0.18/0.54 % (457896)...printing done.
% 0.18/0.54 % TRYING [5]
% 0.18/0.54 % (457896)Refutation found. Thanks to Tanya!
% 0.18/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.55 % (457896)------------------------------
% 0.18/0.55 % (457896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.55 % (457896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.55 % (457896)CaDiCaL version: 2.1.3
% 0.18/0.55 % (457896)Termination reason: Refutation
% 0.18/0.55 % (457896)Time elapsed: 0.068 s
% 0.18/0.55 % (457896)Peak memory usage: 13 MB
% 0.18/0.55 % (457896)Instructions burned: 106 (million)
% 0.18/0.55 % (457885)Success in time 0.113 s
% 0.18/0.55 % Vampire exiting
%------------------------------------------------------------------------------