%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL423-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 11:52:22 AM UTC 2026
% Result : Unsatisfiable 51.47s 15.14s
% Output : Refutation 101.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 21
% Syntax : Number of formulae : 200 ( 23 unt; 18 def)
% Number of atoms : 683 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 930 ( 447 ~; 465 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 20 ( 19 usr; 19 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 423 ( 0 sgn 423 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(implies(not(X2),not(X3)),X4),X2)),implies(X5,implies(implies(X2,X0),implies(X3,X0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',luka23) ).
fof(f3,negated_conjecture,
( ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))
| ~ is_a_theorem(implies(implies(not(a),a),a))
| ~ is_a_theorem(implies(a,implies(not(a),b))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_luka_3_basis) ).
fof(f5,definition,
( spl0_1
<=> is_a_theorem(implies(a,implies(not(a),b))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f7,plain,
( ~ is_a_theorem(implies(a,implies(not(a),b)))
| spl0_1 ),
inference(avatar_component_clause,[],[f5]) ).
fof(f9,definition,
( spl0_2
<=> is_a_theorem(implies(implies(not(a),a),a)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f11,plain,
( ~ is_a_theorem(implies(implies(not(a),a),a))
| spl0_2 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_3
<=> is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f15,plain,
( ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c))))
| spl0_3 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f16,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3,f13,f9,f5]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(implies(implies(not(X2),not(X3)),X4),X2)))
| is_a_theorem(implies(X5,implies(implies(X2,X0),implies(X3,X0)))) ),
inference(resolution,[],[f1,f2]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
inference(resolution,[],[f17,f2]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) ),
inference(resolution,[],[f18,f1]) ).
fof(f21,definition,
( spl0_4
<=> ! [X3,X4,X5,X2,X1] : is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f22,plain,
( ! [X2,X3,X1,X4,X5] : is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,definition,
( spl0_5
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f25,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f26,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f24,f21]) ).
fof(f27,plain,
( ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))))
| ~ spl0_4 ),
inference(resolution,[],[f22,f17]) ).
fof(f28,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)))
| is_a_theorem(implies(X4,implies(X1,X3))) )
| ~ spl0_4 ),
inference(resolution,[],[f22,f1]) ).
fof(f29,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2)))))
| ~ spl0_4 ),
inference(resolution,[],[f28,f2]) ).
fof(f32,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) )
| ~ spl0_4 ),
inference(resolution,[],[f29,f1]) ).
fof(f35,definition,
( spl0_6
<=> ! [X2,X1,X3] : is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f36,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f37,plain,
( spl0_6
| spl0_5
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f32,f21,f24,f35]) ).
fof(f38,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f25,f2]) ).
fof(f45,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f38]) ).
fof(f46,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(X0) )
| ~ spl0_6 ),
inference(resolution,[],[f36,f1]) ).
fof(f55,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X1,implies(implies(X2,X0),implies(X3,X0))))
| ~ is_a_theorem(X0) )
| ~ spl0_6 ),
inference(resolution,[],[f46,f17]) ).
fof(f68,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(X1,implies(implies(implies(X2,X0),X3),implies(X4,X3))))
| ~ is_a_theorem(X0) )
| ~ spl0_6 ),
inference(resolution,[],[f55,f17]) ).
fof(f173,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(implies(implies(implies(X2,X0),X3),implies(X4,X3))) )
| ~ spl0_6 ),
inference(resolution,[],[f68,f1]) ).
fof(f180,definition,
( spl0_11
<=> ! [X4,X0,X2,X3] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X2,X0),X3),implies(X4,X3))) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f181,plain,
( ! [X2,X3,X0,X4] :
( is_a_theorem(implies(implies(implies(X2,X0),X3),implies(X4,X3)))
| ~ is_a_theorem(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f182,plain,
( spl0_5
| spl0_11
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f173,f35,f180,f24]) ).
fof(f362,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))) )
| ~ spl0_4 ),
inference(resolution,[],[f27,f1]) ).
fof(f370,definition,
( spl0_15
<=> ! [X2,X3,X4,X5,X1] : is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f371,plain,
( ! [X2,X3,X1,X4,X5] : is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1)))))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f372,plain,
( spl0_15
| spl0_5
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f362,f21,f24,f370]) ).
fof(f382,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X3,X0))))
| is_a_theorem(implies(X4,implies(implies(X2,X0),implies(X3,X0)))) )
| ~ spl0_15 ),
inference(resolution,[],[f371,f1]) ).
fof(f383,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1))))
| ~ spl0_6
| ~ spl0_15 ),
inference(resolution,[],[f382,f36]) ).
fof(f410,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) )
| ~ spl0_6
| ~ spl0_15 ),
inference(resolution,[],[f383,f1]) ).
fof(f419,definition,
( spl0_16
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f420,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f421,plain,
( spl0_16
| spl0_5
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f410,f370,f35,f24,f419]) ).
fof(f423,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))
| ~ spl0_4
| ~ spl0_16 ),
inference(resolution,[],[f420,f28]) ).
fof(f425,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))))
| ~ spl0_16 ),
inference(resolution,[],[f420,f17]) ).
fof(f435,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X1))) )
| ~ spl0_4
| ~ spl0_16 ),
inference(resolution,[],[f423,f1]) ).
fof(f443,definition,
( spl0_17
<=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f444,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1)))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f445,plain,
( spl0_17
| spl0_5
| ~ spl0_4
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f435,f419,f21,f24,f443]) ).
fof(f450,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,X2))))
| ~ spl0_15
| ~ spl0_17 ),
inference(resolution,[],[f444,f382]) ).
fof(f454,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X1),implies(X3,X1)))))
| ~ spl0_4
| ~ spl0_17 ),
inference(resolution,[],[f444,f28]) ).
fof(f464,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),implies(X3,X2))))
| ~ spl0_15
| ~ spl0_17 ),
inference(resolution,[],[f450,f17]) ).
fof(f548,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))) )
| ~ spl0_16 ),
inference(resolution,[],[f425,f1]) ).
fof(f557,definition,
( spl0_20
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f558,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f559,plain,
( spl0_20
| spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f548,f419,f24,f557]) ).
fof(f571,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X2,implies(X0,X1))) )
| ~ spl0_20 ),
inference(resolution,[],[f558,f1]) ).
fof(f586,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2))))
| ~ spl0_20 ),
inference(resolution,[],[f571,f558]) ).
fof(f638,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))) )
| ~ spl0_20 ),
inference(resolution,[],[f586,f1]) ).
fof(f646,definition,
( spl0_22
<=> ! [X2,X1] : is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f647,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2)))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f648,plain,
( spl0_22
| spl0_5
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f638,f557,f24,f646]) ).
fof(f657,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_22 ),
inference(resolution,[],[f647,f1]) ).
fof(f661,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0))
| ~ spl0_16
| ~ spl0_22 ),
inference(resolution,[],[f657,f420]) ).
fof(f667,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),X2))
| ~ is_a_theorem(X1) )
| ~ spl0_11
| ~ spl0_22 ),
inference(resolution,[],[f657,f181]) ).
fof(f682,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(implies(not(X2),not(X3)),X4),X2)),implies(implies(X2,X0),implies(X3,X0))))
| ~ spl0_22 ),
inference(resolution,[],[f657,f2]) ).
fof(f704,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(X0) )
| ~ spl0_16
| ~ spl0_22 ),
inference(resolution,[],[f661,f1]) ).
fof(f754,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X3,X1)))) )
| ~ spl0_4
| ~ spl0_17 ),
inference(resolution,[],[f454,f1]) ).
fof(f762,definition,
( spl0_23
<=> ! [X2,X1,X3] : is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X3,X1)))) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f763,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X3,X1))))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f764,plain,
( spl0_23
| spl0_5
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f754,f443,f21,f24,f762]) ).
fof(f773,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))))
| ~ spl0_23 ),
inference(resolution,[],[f763,f17]) ).
fof(f777,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1)))
| ~ spl0_22
| ~ spl0_23 ),
inference(resolution,[],[f773,f657]) ).
fof(f792,definition,
( spl0_24
<=> ! [X2,X1,X3,X4] : is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f793,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f795,plain,
( spl0_24
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f777,f762,f646,f792]) ).
fof(f806,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X1))
| is_a_theorem(implies(X3,X1)) )
| ~ spl0_24 ),
inference(resolution,[],[f793,f1]) ).
fof(f819,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X0),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) )
| ~ spl0_11
| ~ spl0_22 ),
inference(resolution,[],[f667,f1]) ).
fof(f827,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))) )
| ~ spl0_15
| ~ spl0_17 ),
inference(resolution,[],[f464,f1]) ).
fof(f838,definition,
( spl0_25
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f839,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2)))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f840,plain,
( spl0_25
| spl0_5
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f827,f443,f370,f24,f838]) ).
fof(f850,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1))
| ~ spl0_22
| ~ spl0_25 ),
inference(resolution,[],[f839,f657]) ).
fof(f869,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) )
| ~ spl0_22
| ~ spl0_25 ),
inference(resolution,[],[f850,f1]) ).
fof(f1052,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),not(X2)),implies(implies(X1,X3),implies(X2,X3)))))
| ~ spl0_24 ),
inference(resolution,[],[f806,f2]) ).
fof(f1062,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(implies(X0,X2),implies(X1,X2))))
| ~ spl0_22
| ~ spl0_24 ),
inference(resolution,[],[f1052,f657]) ).
fof(f1080,definition,
( spl0_26
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(not(X1),not(X2)),implies(implies(X1,X3),implies(X2,X3)))) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f1081,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(not(X1),not(X2)),implies(implies(X1,X3),implies(X2,X3))))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f1085,plain,
( spl0_26
| ~ spl0_22
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1062,f792,f646,f1080]) ).
fof(f1086,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,not(X1)),implies(X2,not(X1)))))
| ~ spl0_15
| ~ spl0_26 ),
inference(resolution,[],[f1081,f382]) ).
fof(f1098,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(implies(X0,X2),implies(X1,X2))) )
| ~ spl0_26 ),
inference(resolution,[],[f1081,f1]) ).
fof(f1294,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,not(X1)),implies(X2,not(X1)))) )
| ~ spl0_15
| ~ spl0_26 ),
inference(resolution,[],[f1086,f1]) ).
fof(f1310,definition,
( spl0_27
<=> ! [X2,X1] : is_a_theorem(implies(implies(X1,not(X1)),implies(X2,not(X1)))) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f1311,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(X1,not(X1)),implies(X2,not(X1))))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f1316,plain,
( spl0_27
| spl0_5
| ~ spl0_15
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1294,f1080,f370,f24,f1310]) ).
fof(f1319,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),implies(X2,X1))))
| ~ spl0_27 ),
inference(resolution,[],[f1311,f17]) ).
fof(f1323,plain,
( ! [X0] : is_a_theorem(implies(implies(X0,not(X0)),not(X0)))
| ~ spl0_22
| ~ spl0_27 ),
inference(resolution,[],[f1311,f657]) ).
fof(f1332,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0)))
| ~ spl0_22
| ~ spl0_27 ),
inference(resolution,[],[f1319,f657]) ).
fof(f1354,definition,
( spl0_28
<=> ! [X2,X1] : is_a_theorem(implies(implies(not(X1),X1),implies(X2,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f1355,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(not(X1),X1),implies(X2,X1)))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f1361,plain,
( spl0_28
| ~ spl0_22
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1332,f1310,f646,f1354]) ).
fof(f1375,plain,
( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
| ~ spl0_22
| ~ spl0_28 ),
inference(resolution,[],[f1355,f657]) ).
fof(f1634,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))))
| ~ spl0_22 ),
inference(resolution,[],[f682,f17]) ).
fof(f1637,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(not(X0),not(X1)),X2),X0))
| is_a_theorem(implies(implies(X0,X3),implies(X1,X3))) )
| ~ spl0_11
| ~ spl0_22 ),
inference(resolution,[],[f682,f819]) ).
fof(f1646,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(implies(implies(not(X2),not(X3)),X4),X2)))
| is_a_theorem(implies(implies(X2,X0),implies(X3,X0))) )
| ~ spl0_22 ),
inference(resolution,[],[f682,f1]) ).
fof(f1664,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X1,X2))))
| ~ spl0_22 ),
inference(resolution,[],[f1646,f682]) ).
fof(f1694,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X0)),implies(X3,implies(X2,X0))))
| ~ spl0_22 ),
inference(resolution,[],[f1664,f1646]) ).
fof(f1705,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X1,X2)))
| ~ spl0_22 ),
inference(resolution,[],[f1664,f657]) ).
fof(f1887,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X0)),implies(X2,X0)))
| ~ spl0_22 ),
inference(resolution,[],[f1694,f657]) ).
fof(f1968,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X1,X2)))
| is_a_theorem(implies(X1,X2)) )
| ~ spl0_22 ),
inference(resolution,[],[f1705,f1]) ).
fof(f2008,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),not(X1)),X2),X0),implies(implies(X0,X3),implies(X1,X3))))
| ~ spl0_22 ),
inference(resolution,[],[f1968,f2]) ).
fof(f2056,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3)))
| ~ spl0_22 ),
inference(resolution,[],[f1634,f1646]) ).
fof(f2084,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1)))
| ~ spl0_16
| ~ spl0_22 ),
inference(resolution,[],[f2056,f704]) ).
fof(f2085,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2))))
| ~ spl0_22
| ~ spl0_25 ),
inference(resolution,[],[f2056,f869]) ).
fof(f2112,plain,
( $false
| spl0_1
| ~ spl0_16
| ~ spl0_22 ),
inference(resolution,[],[f2084,f7]) ).
fof(f2113,plain,
( spl0_1
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f2112]) ).
fof(f2114,plain,
( $false
| spl0_2
| ~ spl0_22
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f11,f1375]) ).
fof(f2115,plain,
( spl0_2
| ~ spl0_22
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f2114]) ).
fof(f2201,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(not(implies(X1,X0)),X2)))
| ~ spl0_22
| ~ spl0_25 ),
inference(resolution,[],[f2085,f1968]) ).
fof(f2360,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X0)))
| is_a_theorem(implies(X2,X0)) )
| ~ spl0_22 ),
inference(resolution,[],[f1887,f1]) ).
fof(f2370,plain,
( ! [X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),X0))
| ~ spl0_16
| ~ spl0_22 ),
inference(resolution,[],[f2360,f2084]) ).
fof(f2381,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1)))
| ~ spl0_6
| ~ spl0_22 ),
inference(resolution,[],[f2360,f36]) ).
fof(f2437,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_6
| ~ spl0_22 ),
inference(resolution,[],[f2381,f1]) ).
fof(f2462,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0))))
| ~ spl0_6
| ~ spl0_22 ),
inference(resolution,[],[f2437,f1694]) ).
fof(f2523,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2)))
| ~ spl0_16
| ~ spl0_22
| ~ spl0_26 ),
inference(resolution,[],[f2370,f1098]) ).
fof(f2553,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) )
| ~ spl0_16
| ~ spl0_22
| ~ spl0_26 ),
inference(resolution,[],[f2523,f1]) ).
fof(f2612,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,not(not(X0)))))
| ~ spl0_16
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(resolution,[],[f2553,f1311]) ).
fof(f2614,plain,
( ! [X0] : is_a_theorem(implies(X0,not(not(X0))))
| ~ spl0_16
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(resolution,[],[f2553,f1323]) ).
fof(f2629,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(not(X0)),X1)))
| ~ spl0_16
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(resolution,[],[f2614,f1098]) ).
fof(f2647,plain,
( ! [X0,X1] :
( is_a_theorem(implies(not(not(X0)),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_16
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(resolution,[],[f2629,f1]) ).
fof(f2878,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,not(not(implies(X1,X0)))))
| ~ spl0_16
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(resolution,[],[f2612,f1968]) ).
fof(f3054,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,not(X0))),X1)))
| ~ spl0_16
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(resolution,[],[f2878,f1098]) ).
fof(f3073,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(not(implies(X2,not(X0))),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_16
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(resolution,[],[f3054,f1]) ).
fof(f3315,plain,
( ! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) )
| ~ spl0_22
| ~ spl0_28 ),
inference(resolution,[],[f1375,f1]) ).
fof(f3523,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,not(X0))))
| is_a_theorem(implies(X1,not(X0))) )
| ~ spl0_16
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f3073,f3315]) ).
fof(f3552,plain,
( ! [X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),not(X1)))
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f3523,f2201]) ).
fof(f5812,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f3552,f1098]) ).
fof(f5851,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) )
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f5812,f1]) ).
fof(f5947,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(not(X0),not(X1)),X2),X0),implies(X3,implies(implies(X0,X4),implies(X1,X4)))))
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f5851,f2]) ).
fof(f5998,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(implies(not(X0),not(X2)),X3)),implies(X4,implies(implies(not(X0),not(X2)),X3))))
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f5947,f1646]) ).
fof(f7291,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(implies(not(X0),not(X2)),X3)))
| is_a_theorem(implies(X4,implies(implies(not(X0),not(X2)),X3))) )
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f5998,f1]) ).
fof(f7315,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),not(X2)),implies(X2,X1))))
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f7291,f1694]) ).
fof(f7420,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f7315,f3315]) ).
fof(f7441,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) )
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f7420,f1]) ).
fof(f7453,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X1,not(X0)))
| is_a_theorem(implies(X0,not(X1))) )
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f7441,f2647]) ).
fof(f7476,plain,
( ! [X0] : is_a_theorem(implies(X0,not(implies(X0,not(X0)))))
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f7453,f1323]) ).
fof(f7566,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),not(not(X0))),X1)))
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f7476,f1098]) ).
fof(f7597,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),not(not(X0))),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f7566,f1]) ).
fof(f7627,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(not(X1),not(X2)),X3),X1)))
| is_a_theorem(implies(implies(X1,not(X0)),implies(X2,not(X0)))) )
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f7597,f1646]) ).
fof(f7693,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),not(X1)),implies(X2,not(X1))))
| ~ spl0_6
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f7627,f2462]) ).
fof(f7781,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),not(X1)),not(X1)))
| ~ spl0_6
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f7693,f657]) ).
fof(f7911,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,not(implies(implies(X1,X0),not(X0)))))
| ~ spl0_6
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f7781,f7453]) ).
fof(f8209,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,not(X0)),not(not(X0))),X1)))
| ~ spl0_6
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f7911,f1098]) ).
fof(f8244,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X2,not(X0)),not(not(X0))),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_6
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f8209,f1]) ).
fof(f8420,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f8244,f1637]) ).
fof(f8510,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f8420,f1]) ).
fof(f8631,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(not(X1),not(X2)),X3),X1)))
| is_a_theorem(implies(X0,implies(implies(X1,X4),implies(X2,X4)))) )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f8510,f2008]) ).
fof(f12140,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl0_6
| ~ spl0_11
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f8631,f8209]) ).
fof(f12273,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(resolution,[],[f12140,f15]) ).
fof(f12319,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f12273]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f16]) ).
cnf(s2,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f26]) ).
cnf(s3,plain,
( ~ spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f37]) ).
cnf(s7,plain,
~ spl0_5,
inference(sat_conversion,[],[f45]) ).
cnf(s12,plain,
( spl0_5
| ~ spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f182]) ).
cnf(s16,plain,
( ~ spl0_4
| spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f372]) ).
cnf(s17,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f421]) ).
cnf(s18,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f445]) ).
cnf(s21,plain,
( spl0_5
| ~ spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f559]) ).
cnf(s23,plain,
( spl0_5
| ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f648]) ).
cnf(s24,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_17
| spl0_23 ),
inference(sat_conversion,[],[f764]) ).
cnf(s27,plain,
( ~ spl0_22
| ~ spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f795]) ).
cnf(s28,plain,
( spl0_5
| ~ spl0_15
| ~ spl0_17
| spl0_25 ),
inference(sat_conversion,[],[f840]) ).
cnf(s33,plain,
( ~ spl0_22
| ~ spl0_24
| spl0_26 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s38,plain,
( spl0_5
| ~ spl0_15
| ~ spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f1316]) ).
cnf(s45,plain,
( ~ spl0_22
| ~ spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f1361]) ).
cnf(s46,plain,
( spl0_1
| ~ spl0_16
| ~ spl0_22 ),
inference(sat_conversion,[],[f2113]) ).
cnf(s47,plain,
( spl0_2
| ~ spl0_22
| ~ spl0_28 ),
inference(sat_conversion,[],[f2115]) ).
cnf(s58,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_16
| ~ spl0_22
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(sat_conversion,[],[f12319]) ).
cnf(s59,plain,
( ~ spl0_4
| spl0_6 ),
inference(rat,[],[s3,s7]) ).
cnf(s60,plain,
spl0_4,
inference(rat,[],[s2,s7]) ).
cnf(s61,plain,
spl0_15,
inference(rat,[],[s16,s7,s60]) ).
cnf(s63,plain,
spl0_6,
inference(rat,[],[s59,s60]) ).
cnf(s64,plain,
spl0_16,
inference(rat,[],[s17,s61,s7,s63]) ).
cnf(s65,plain,
spl0_11,
inference(rat,[],[s12,s7,s63]) ).
cnf(s69,plain,
spl0_20,
inference(rat,[],[s21,s7,s64]) ).
cnf(s70,plain,
spl0_17,
inference(rat,[],[s18,s60,s7,s64]) ).
cnf(s74,plain,
spl0_22,
inference(rat,[],[s23,s7,s69]) ).
cnf(s76,plain,
spl0_25,
inference(rat,[],[s28,s61,s7,s70]) ).
cnf(s77,plain,
spl0_23,
inference(rat,[],[s24,s60,s7,s70]) ).
cnf(s79,plain,
spl0_1,
inference(rat,[],[s46,s64,s74]) ).
cnf(s80,plain,
spl0_24,
inference(rat,[],[s27,s74,s77]) ).
cnf(s82,plain,
spl0_26,
inference(rat,[],[s33,s74,s80]) ).
cnf(s83,plain,
spl0_27,
inference(rat,[],[s38,s61,s7,s82]) ).
cnf(s84,plain,
spl0_28,
inference(rat,[],[s45,s74,s83]) ).
cnf(s85,plain,
spl0_2,
inference(rat,[],[s47,s74,s84]) ).
cnf(s86,plain,
spl0_3,
inference(rat,[],[s58,s82,s83,s74,s76,s65,s64,s63,s84]) ).
cnf(s87,plain,
$false,
inference(rat,[],[s1,s86,s85,s79]) ).
fof(f12320,plain,
$false,
inference(avatar_sat_refutation,[],[s87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL423-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n017.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 15:37:35 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 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
% 20.30/3.86 % (2753286)Input is clausal, will run a generic CNF schedule.
% 20.30/3.86 % (2753291)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=1790562806:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 20.30/3.86 % (2753292)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3416622125:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 20.30/3.86 % (2753294)lrs+10_1_sil=8000:sp=occurrence:random_seed=1268307761:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 20.30/3.86 % (2753296)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2226192296:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 20.30/3.86 % (2753297)dis-21_1_sil=8000:lcm=predicate:random_seed=613004209: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)
% 20.30/3.86 % (2753295)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=900717414:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 20.30/3.86 % (2753293)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4108170532:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 20.30/3.86 % (2753294)Instruction limit reached!
% 20.30/3.86 % (2753294)------------------------------
% 20.30/3.86 % (2753294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.30/3.86 % (2753294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.86 % (2753294)CaDiCaL version: 2.1.3
% 20.30/3.86 % (2753294)Termination reason: Instruction limit
% 20.30/3.86 % (2753294)Termination phase: Saturation
% 20.30/3.86 % (2753294)Time elapsed: 0.104 s
% 20.30/3.86 % (2753294)Peak memory usage: 89 MB
% 20.30/3.86 % (2753294)Instructions burned: 107 (million)
% 20.30/3.86 % (2753297)Instruction limit reached!
% 20.30/3.86 % (2753297)------------------------------
% 20.30/3.86 % (2753297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.30/3.86 % (2753297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.86 % (2753297)CaDiCaL version: 2.1.3
% 20.30/3.86 % (2753297)Termination reason: Instruction limit
% 20.30/3.86 % (2753297)Termination phase: Saturation
% 20.30/3.86 % (2753297)Time elapsed: 0.112 s
% 20.30/3.86 % (2753297)Peak memory usage: 88 MB
% 20.30/3.86 % (2753297)Instructions burned: 117 (million)
% 20.30/3.86 % (2753295)Instruction limit reached!
% 20.30/3.86 % (2753295)------------------------------
% 20.30/3.86 % (2753295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.30/3.86 % (2753295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.86 % (2753295)CaDiCaL version: 2.1.3
% 20.30/3.86 % (2753295)Termination reason: Instruction limit
% 20.30/3.86 % (2753295)Termination phase: Saturation
% 20.30/3.86 % (2753295)Time elapsed: 0.116 s
% 20.30/3.86 % (2753295)Peak memory usage: 89 MB
% 20.30/3.86 % (2753295)Instructions burned: 114 (million)
% 20.30/3.86 % (2753296)Instruction limit reached!
% 20.30/3.86 % (2753296)------------------------------
% 20.30/3.86 % (2753296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.30/3.86 % (2753296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.86 % (2753296)CaDiCaL version: 2.1.3
% 20.30/3.86 % (2753296)Termination reason: Instruction limit
% 20.30/3.86 % (2753296)Termination phase: Saturation
% 20.30/3.86 % (2753296)Time elapsed: 0.178 s
% 20.30/3.86 % (2753296)Peak memory usage: 89 MB
% 20.30/3.86 % (2753296)Instructions burned: 180 (million)
% 20.30/3.86 % (2753305)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=324628356:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 20.30/3.86 % (2753305)Refutation not found, incomplete strategy
% 20.30/3.86 % (2753305)------------------------------
% 20.30/3.86 % (2753305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.30/3.86 % (2753305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.86 % (2753305)CaDiCaL version: 2.1.3
% 20.30/3.86 % (2753305)Termination reason: Refutation not found, incomplete strategy
% 20.30/3.86 % (2753305)Time elapsed: 0.001 s
% 20.30/3.86 % (2753305)Peak memory usage: 87 MB
% 20.30/3.86 % (2753306)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3211657063:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 27.76/5.03 % (2753307)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1270188037:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 27.76/5.03 % (2753307)Refutation not found, incomplete strategy
% 27.76/5.03 % (2753307)------------------------------
% 27.76/5.03 % (2753307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.76/5.03 % (2753307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.76/5.03 % (2753307)CaDiCaL version: 2.1.3
% 27.76/5.03 % (2753307)Termination reason: Refutation not found, incomplete strategy
% 27.76/5.03 % (2753307)Time elapsed: 0.002 s
% 27.76/5.03 % (2753307)Peak memory usage: 87 MB
% 27.76/5.03 % (2753308)lrs+10_64_to=lpo:sil=8000:random_seed=1099881463:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 27.76/5.03 % (2753306)Instruction limit reached!
% 27.76/5.03 % (2753306)------------------------------
% 27.76/5.03 % (2753306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.76/5.03 % (2753306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.76/5.03 % (2753306)CaDiCaL version: 2.1.3
% 27.76/5.03 % (2753306)Termination reason: Instruction limit
% 27.76/5.03 % (2753306)Termination phase: Saturation
% 27.76/5.03 % (2753306)Time elapsed: 0.158 s
% 27.76/5.03 % (2753306)Peak memory usage: 88 MB
% 27.76/5.03 % (2753306)Instructions burned: 189 (million)
% 27.76/5.03 % (2753308)Instruction limit reached!
% 27.76/5.03 % (2753308)------------------------------
% 27.76/5.03 % (2753308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.76/5.03 % (2753308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.76/5.03 % (2753308)CaDiCaL version: 2.1.3
% 27.76/5.03 % (2753308)Termination reason: Instruction limit
% 27.76/5.03 % (2753308)Termination phase: Saturation
% 27.76/5.03 % (2753308)Time elapsed: 0.118 s
% 27.76/5.03 % (2753308)Peak memory usage: 89 MB
% 27.76/5.03 % (2753308)Instructions burned: 127 (million)
% 27.76/5.03 % (2753305)------------------------------
% 27.76/5.03 % (2753305)------------------------------
% 27.76/5.03 % (2753307)------------------------------
% 27.76/5.03 % (2753307)------------------------------
% 27.76/5.03 % (2753314)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=761002599:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 27.76/5.03 % (2753313)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2152930696:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 27.76/5.03 % (2753315)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1493175345:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 27.76/5.03 % (2753314)Instruction limit reached!
% 27.76/5.03 % (2753314)------------------------------
% 27.76/5.03 % (2753314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.76/5.03 % (2753314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.76/5.03 % (2753314)CaDiCaL version: 2.1.3
% 27.76/5.03 % (2753314)Termination reason: Instruction limit
% 27.76/5.03 % (2753314)Termination phase: Saturation
% 27.76/5.03 % (2753314)Time elapsed: 0.162 s
% 27.76/5.03 % (2753314)Peak memory usage: 90 MB
% 27.76/5.03 % (2753314)Instructions burned: 157 (million)
% 27.76/5.03 % (2753313)Instruction limit reached!
% 27.76/5.03 % (2753313)------------------------------
% 27.76/5.03 % (2753313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.76/5.03 % (2753313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.76/5.03 % (2753313)CaDiCaL version: 2.1.3
% 27.76/5.03 % (2753313)Termination reason: Instruction limit
% 27.76/5.03 % (2753313)Termination phase: Saturation
% 27.76/5.03 % (2753313)Time elapsed: 0.194 s
% 27.76/5.03 % (2753313)Peak memory usage: 89 MB
% 27.76/5.03 % (2753313)Instructions burned: 194 (million)
% 27.76/5.03 % (2753316)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=424763197:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 27.76/5.03 % (2753316)Instruction limit reached!
% 27.76/5.03 % (2753316)------------------------------
% 27.76/5.03 % (2753316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.76/5.03 % (2753316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.90/9.08 % (2753316)CaDiCaL version: 2.1.3
% 57.90/9.08 % (2753316)Termination reason: Instruction limit
% 57.90/9.08 % (2753316)Termination phase: Saturation
% 57.90/9.08 % (2753316)Time elapsed: 0.094 s
% 57.90/9.08 % (2753316)Peak memory usage: 89 MB
% 57.90/9.08 % (2753316)Instructions burned: 106 (million)
% 57.90/9.08 % (2753321)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4069870964:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 57.90/9.08 % (2753320)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1016383765:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 57.90/9.08 % (2753320)Refutation not found, incomplete strategy
% 57.90/9.08 % (2753320)------------------------------
% 57.90/9.08 % (2753320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.90/9.08 % (2753320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.90/9.08 % (2753320)CaDiCaL version: 2.1.3
% 57.90/9.08 % (2753320)Termination reason: Refutation not found, incomplete strategy
% 57.90/9.08 % (2753320)Time elapsed: 0.001 s
% 57.90/9.08 % (2753320)Peak memory usage: 87 MB
% 57.90/9.08 % (2753323)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4006087120:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 57.90/9.08 % (2753321)Instruction limit reached!
% 57.90/9.08 % (2753321)------------------------------
% 57.90/9.08 % (2753321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.90/9.08 % (2753321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.90/9.08 % (2753321)CaDiCaL version: 2.1.3
% 57.90/9.08 % (2753321)Termination reason: Instruction limit
% 57.90/9.08 % (2753321)Termination phase: Saturation
% 57.90/9.08 % (2753321)Time elapsed: 0.219 s
% 57.90/9.08 % (2753321)Peak memory usage: 88 MB
% 57.90/9.08 % (2753321)Instructions burned: 242 (million)
% 57.90/9.08 % (2753320)------------------------------
% 57.90/9.08 % (2753320)------------------------------
% 57.90/9.08 % (2753328)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2799395598:i=134:sd=2:doe=on:ss=axioms:sgt=14_2982 on theBenchmark for (2982ds/134Mi)
% 57.90/9.08 % (2753328)Instruction limit reached!
% 57.90/9.08 % (2753328)------------------------------
% 57.90/9.08 % (2753328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.90/9.08 % (2753328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.90/9.08 % (2753328)CaDiCaL version: 2.1.3
% 57.90/9.08 % (2753328)Termination reason: Instruction limit
% 57.90/9.08 % (2753328)Termination phase: Saturation
% 57.90/9.08 % (2753328)Time elapsed: 0.128 s
% 57.90/9.08 % (2753328)Peak memory usage: 89 MB
% 57.90/9.08 % (2753328)Instructions burned: 134 (million)
% 57.90/9.08 % (2753330)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3427090980:i=499:bd=all_2980 on theBenchmark for (2980ds/499Mi)
% 57.90/9.08 % (2753332)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3422863226:i=191:fgj=on:bd=all_2978 on theBenchmark for (2978ds/191Mi)
% 57.90/9.08 % (2753330)Instruction limit reached!
% 57.90/9.08 % (2753330)------------------------------
% 57.90/9.08 % (2753330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.90/9.08 % (2753330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.90/9.08 % (2753330)CaDiCaL version: 2.1.3
% 57.90/9.08 % (2753330)Termination reason: Instruction limit
% 57.90/9.08 % (2753330)Termination phase: Saturation
% 57.90/9.08 % (2753330)Time elapsed: 0.444 s
% 57.90/9.08 % (2753330)Peak memory usage: 91 MB
% 57.90/9.08 % (2753330)Instructions burned: 499 (million)
% 57.90/9.08 % (2753332)Instruction limit reached!
% 57.90/9.08 % (2753332)------------------------------
% 57.90/9.08 % (2753332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.90/9.08 % (2753332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.90/9.08 % (2753332)CaDiCaL version: 2.1.3
% 57.90/9.08 % (2753332)Termination reason: Instruction limit
% 57.90/9.08 % (2753332)Termination phase: Saturation
% 57.90/9.08 % (2753332)Time elapsed: 0.182 s
% 57.90/9.08 % (2753332)Peak memory usage: 90 MB
% 57.90/9.08 % (2753332)Instructions burned: 191 (million)
% 57.90/9.08 % (2753335)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1151054724:i=264:kws=precedence:fsr=off_2973 on theBenchmark for (2973ds/264Mi)
% 79.17/12.06 % (2753336)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4116300885:cond=on:i=156:bs=on:gtg=exists_all:er=known_2973 on theBenchmark for (2973ds/156Mi)
% 79.17/12.06 % (2753336)Instruction limit reached!
% 79.17/12.06 % (2753336)------------------------------
% 79.17/12.06 % (2753336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.17/12.06 % (2753336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.17/12.06 % (2753336)CaDiCaL version: 2.1.3
% 79.17/12.06 % (2753336)Termination reason: Instruction limit
% 79.17/12.06 % (2753336)Termination phase: Saturation
% 79.17/12.06 % (2753336)Time elapsed: 0.114 s
% 79.17/12.06 % (2753336)Peak memory usage: 89 MB
% 79.17/12.06 % (2753336)Instructions burned: 157 (million)
% 79.17/12.06 % (2753315)Instruction limit reached!
% 79.17/12.06 % (2753315)------------------------------
% 79.17/12.06 % (2753315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.17/12.06 % (2753315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.17/12.06 % (2753315)CaDiCaL version: 2.1.3
% 79.17/12.06 % (2753315)Termination reason: Instruction limit
% 79.17/12.06 % (2753315)Termination phase: Saturation
% 79.17/12.06 % (2753315)Time elapsed: 1.986 s
% 79.17/12.06 % (2753315)Peak memory usage: 151 MB
% 79.17/12.06 % (2753315)Instructions burned: 3395 (million)
% 79.17/12.06 % (2753335)Instruction limit reached!
% 79.17/12.06 % (2753335)------------------------------
% 79.17/12.06 % (2753335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.17/12.06 % (2753335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.17/12.06 % (2753335)CaDiCaL version: 2.1.3
% 79.17/12.06 % (2753335)Termination reason: Instruction limit
% 79.17/12.06 % (2753335)Termination phase: Saturation
% 79.17/12.06 % (2753335)Time elapsed: 0.258 s
% 79.17/12.06 % (2753335)Peak memory usage: 89 MB
% 79.17/12.06 % (2753335)Instructions burned: 264 (million)
% 79.17/12.06 % (2753339)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2064030283:i=3256:kws=precedence:bd=preordered:av=off_2969 on theBenchmark for (2969ds/3256Mi)
% 79.17/12.06 % (2753340)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=177164414:i=537:av=off:ss=included_2968 on theBenchmark for (2968ds/537Mi)
% 79.17/12.06 % (2753341)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3723259002:i=180:bd=preordered:av=off_2968 on theBenchmark for (2968ds/180Mi)
% 79.17/12.06 % (2753340)Instruction limit reached!
% 79.17/12.06 % (2753340)------------------------------
% 79.17/12.06 % (2753340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.17/12.06 % (2753340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.17/12.06 % (2753340)CaDiCaL version: 2.1.3
% 79.17/12.06 % (2753340)Termination reason: Instruction limit
% 79.17/12.06 % (2753340)Termination phase: Saturation
% 79.17/12.06 % (2753340)Time elapsed: 0.235 s
% 79.17/12.06 % (2753340)Peak memory usage: 89 MB
% 79.17/12.06 % (2753340)Instructions burned: 539 (million)
% 79.17/12.06 % (2753341)Instruction limit reached!
% 79.17/12.06 % (2753341)------------------------------
% 79.17/12.06 % (2753341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.17/12.06 % (2753341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.17/12.06 % (2753341)CaDiCaL version: 2.1.3
% 79.17/12.06 % (2753341)Termination reason: Instruction limit
% 79.17/12.06 % (2753341)Termination phase: Saturation
% 79.17/12.06 % (2753341)Time elapsed: 0.142 s
% 79.17/12.06 % (2753341)Peak memory usage: 87 MB
% 79.17/12.06 % (2753341)Instructions burned: 181 (million)
% 79.17/12.06 % (2753345)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=513411164:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2964 on theBenchmark for (2964ds/10307Mi)
% 79.17/12.06 % (2753346)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=1304680748:i=412:gtgl=4:gtg=exists_all_2963 on theBenchmark for (2963ds/412Mi)
% 79.17/12.06 % (2753346)Instruction limit reached!
% 79.17/12.06 % (2753346)------------------------------
% 79.17/12.06 % (2753346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.17/12.06 % (2753346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753346)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753346)Termination reason: Instruction limit
% 51.47/15.14 % (2753346)Termination phase: Saturation
% 51.47/15.14 % (2753346)Time elapsed: 0.238 s
% 51.47/15.14 % (2753346)Peak memory usage: 93 MB
% 51.47/15.14 % (2753346)Instructions burned: 414 (million)
% 51.47/15.14 % (2753349)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=1004884692:s2pl=no:i=8478:s2at=4:nm=6_2959 on theBenchmark for (2959ds/8478Mi)
% 51.47/15.14 % (2753339)Instruction limit reached!
% 51.47/15.14 % (2753339)------------------------------
% 51.47/15.14 % (2753339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.47/15.14 % (2753339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753339)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753339)Termination reason: Instruction limit
% 51.47/15.14 % (2753339)Termination phase: Saturation
% 51.47/15.14 % (2753339)Time elapsed: 2.702 s
% 51.47/15.14 % (2753339)Peak memory usage: 140 MB
% 51.47/15.14 % (2753339)Instructions burned: 3256 (million)
% 51.47/15.14 % (2753353)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=3626613642:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2939 on theBenchmark for (2939ds/303Mi)
% 51.47/15.14 % (2753353)Instruction limit reached!
% 51.47/15.14 % (2753353)------------------------------
% 51.47/15.14 % (2753353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.47/15.14 % (2753353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753353)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753353)Termination reason: Instruction limit
% 51.47/15.14 % (2753353)Termination phase: Saturation
% 51.47/15.14 % (2753353)Time elapsed: 0.250 s
% 51.47/15.14 % (2753353)Peak memory usage: 89 MB
% 51.47/15.14 % (2753353)Instructions burned: 304 (million)
% 51.47/15.14 % (2753357)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2333305013:st=4:i=720:sd=3:fsr=off:ss=axioms_2934 on theBenchmark for (2934ds/720Mi)
% 51.47/15.14 % (2753323)Instruction limit reached!
% 51.47/15.14 % (2753323)------------------------------
% 51.47/15.14 % (2753323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.47/15.14 % (2753323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753323)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753323)Termination reason: Instruction limit
% 51.47/15.14 % (2753323)Termination phase: Saturation
% 51.47/15.14 % (2753323)Time elapsed: 5.349 s
% 51.47/15.14 % (2753323)Peak memory usage: 159 MB
% 51.47/15.14 % (2753323)Instructions burned: 5208 (million)
% 51.47/15.14 % (2753359)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=2856371763:i=598:bs=on:bd=preordered:av=off:ss=axioms_2929 on theBenchmark for (2929ds/598Mi)
% 51.47/15.14 % (2753357)Instruction limit reached!
% 51.47/15.14 % (2753357)------------------------------
% 51.47/15.14 % (2753357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.47/15.14 % (2753357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753357)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753357)Termination reason: Instruction limit
% 51.47/15.14 % (2753357)Termination phase: Saturation
% 51.47/15.14 % (2753357)Time elapsed: 0.589 s
% 51.47/15.14 % (2753357)Peak memory usage: 89 MB
% 51.47/15.14 % (2753357)Instructions burned: 720 (million)
% 51.47/15.14 % (2753361)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=528084105:i=2989:sd=3:ss=axioms:sgt=60_2925 on theBenchmark for (2925ds/2989Mi)
% 51.47/15.14 % (2753359)Instruction limit reached!
% 51.47/15.14 % (2753359)------------------------------
% 51.47/15.14 % (2753359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.47/15.14 % (2753359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753359)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753359)Termination reason: Instruction limit
% 51.47/15.14 % (2753359)Termination phase: Saturation
% 51.47/15.14 % (2753359)Time elapsed: 0.541 s
% 51.47/15.14 % (2753359)Peak memory usage: 92 MB
% 51.47/15.14 % (2753359)Instructions burned: 599 (million)
% 51.47/15.14 % (2753363)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=3916496471:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2921 on theBenchmark for (2921ds/1997Mi)
% 51.47/15.14 % (2753349)Instruction limit reached!
% 51.47/15.14 % (2753349)------------------------------
% 51.47/15.14 % (2753349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.47/15.14 % (2753349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753349)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753349)Termination reason: Instruction limit
% 51.47/15.14 % (2753349)Termination phase: Saturation
% 51.47/15.14 % (2753349)Time elapsed: 4.304 s
% 51.47/15.14 % (2753349)Peak memory usage: 175 MB
% 51.47/15.14 % (2753349)Instructions burned: 8478 (million)
% 51.47/15.14 % (2753367)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=2977104376:i=2088:bd=preordered:av=off_2913 on theBenchmark for (2913ds/2088Mi)
% 51.47/15.14 % (2753367)Instruction limit reached!
% 51.47/15.14 % (2753367)------------------------------
% 51.47/15.14 % (2753367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.47/15.14 % (2753367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753367)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753367)Termination reason: Instruction limit
% 51.47/15.14 % (2753367)Termination phase: Saturation
% 51.47/15.14 % (2753367)Time elapsed: 1.151 s
% 51.47/15.14 % (2753367)Peak memory usage: 134 MB
% 51.47/15.14 % (2753367)Instructions burned: 2088 (million)
% 51.47/15.14 % (2753363)Instruction limit reached!
% 51.47/15.14 % (2753363)------------------------------
% 51.47/15.14 % (2753363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.47/15.14 % (2753363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753363)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753363)Termination reason: Instruction limit
% 51.47/15.14 % (2753363)Termination phase: Saturation
% 51.47/15.14 % (2753363)Time elapsed: 2.044 s
% 51.47/15.14 % (2753363)Peak memory usage: 134 MB
% 51.47/15.14 % (2753363)Instructions burned: 1997 (million)
% 51.47/15.14 % (2753369)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=41398353:i=1098:nicw=on_2899 on theBenchmark for (2899ds/1098Mi)
% 51.47/15.14 % (2753370)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=4158592535:i=433:bd=preordered_2898 on theBenchmark for (2898ds/433Mi)
% 51.47/15.14 % (2753361)Instruction limit reached!
% 51.47/15.14 % (2753361)------------------------------
% 51.47/15.14 % (2753361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.47/15.14 % (2753361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753361)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753361)Termination reason: Instruction limit
% 51.47/15.14 % (2753361)Termination phase: Saturation
% 51.47/15.14 % (2753361)Time elapsed: 3.036 s
% 51.47/15.14 % (2753361)Peak memory usage: 148 MB
% 51.47/15.14 % (2753361)Instructions burned: 2990 (million)
% 51.47/15.14 % (2753369)Instruction limit reached!
% 51.47/15.14 % (2753369)------------------------------
% 51.47/15.14 % (2753369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.47/15.14 % (2753369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753369)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753369)Termination reason: Instruction limit
% 51.47/15.14 % (2753369)Termination phase: Saturation
% 51.47/15.14 % (2753369)Time elapsed: 0.562 s
% 51.47/15.14 % (2753369)Peak memory usage: 102 MB
% 51.47/15.14 % (2753369)Instructions burned: 1098 (million)
% 51.47/15.14 % (2753370)Instruction limit reached!
% 51.47/15.14 % (2753370)------------------------------
% 51.47/15.14 % (2753370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.47/15.14 % (2753370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753370)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753370)Termination reason: Instruction limit
% 51.47/15.14 % (2753370)Termination phase: Saturation
% 51.47/15.14 % (2753370)Time elapsed: 0.429 s
% 51.47/15.14 % (2753370)Peak memory usage: 89 MB
% 51.47/15.14 % (2753370)Instructions burned: 433 (million)
% 51.47/15.14 % (2753373)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=3161271908:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2892 on theBenchmark for (2892ds/2942Mi)
% 51.47/15.14 % (2753374)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=2107669416:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2891 on theBenchmark for (2891ds/6922Mi)
% 51.47/15.14 % (2753375)dis+10_5:1_sil=8000:tgt=full:plsq=on:plsqc=1:plsqr=32,1:urr=on:fd=off:nwc=0.5:br=off:slsqc=3:slsq=on:random_seed=907771911:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2891 on theBenchmark for (2891ds/596Mi)
% 51.47/15.14 % (2753375)Instruction limit reached!
% 51.47/15.14 % (2753375)------------------------------
% 51.47/15.14 % (2753375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.47/15.14 % (2753375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753375)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753375)Termination reason: Instruction limit
% 51.47/15.14 % (2753375)Termination phase: Saturation
% 51.47/15.14 % (2753375)Time elapsed: 0.476 s
% 51.47/15.14 % (2753375)Peak memory usage: 93 MB
% 51.47/15.14 % (2753375)Instructions burned: 597 (million)
% 51.47/15.14 % (2753379)lrs+21_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=1415706931:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2883 on theBenchmark for (2883ds/4123Mi)
% 51.47/15.14 % (2753373)Instruction limit reached!
% 51.47/15.14 % (2753373)------------------------------
% 51.47/15.14 % (2753373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.47/15.14 % (2753373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753373)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753373)Termination reason: Instruction limit
% 51.47/15.14 % (2753373)Termination phase: Saturation
% 51.47/15.14 % (2753373)Time elapsed: 1.753 s
% 51.47/15.14 % (2753373)Peak memory usage: 144 MB
% 51.47/15.14 % (2753373)Instructions burned: 2943 (million)
% 51.47/15.14 % (2753381)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1231347848:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2873 on theBenchmark for (2873ds/16411Mi)
% 51.47/15.14 % (2753345)Instruction limit reached!
% 51.47/15.14 % (2753345)------------------------------
% 51.47/15.14 % (2753345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.47/15.14 % (2753345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.47/15.14 % (2753345)CaDiCaL version: 2.1.3
% 51.47/15.14 % (2753345)Termination reason: Instruction limit
% 51.47/15.14 % (2753345)Termination phase: Saturation
% 51.47/15.14 % (2753345)Time elapsed: 9.824 s
% 51.47/15.14 % (2753345)Peak memory usage: 173 MB
% 51.47/15.14 % (2753345)Instructions burned: 10308 (million)
% 51.47/15.14 % (2753536)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=1940054578:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2864 on theBenchmark for (2864ds/1670Mi)
% 51.47/15.14 % (2753381)First to succeed.
% 51.47/15.14 % (2753381)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2753286"
% 51.47/15.14 % (2753381)Refutation found. Thanks to Tanya!
% 51.47/15.14 % SZS status Unsatisfiable for theBenchmark
% 51.47/15.14 % SZS output start Proof for theBenchmark
% See solution above
% 101.34/15.34 % (2753381)------------------------------
% 101.34/15.34 % (2753381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.34/15.34 % (2753381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.34/15.34 % (2753381)CaDiCaL version: 2.1.3
% 101.34/15.34 % (2753381)Termination reason: Refutation
% 101.34/15.34 % (2753381)Time elapsed: 1.017 s
% 101.34/15.34 % (2753381)Peak memory usage: 142 MB
% 101.34/15.34 % (2753381)Instructions burned: 2365 (million)
% 101.34/15.34 % (2753381)------------------------------
% 101.34/15.34 % (2753381)------------------------------
% 101.34/15.34 % (2753286)Success in time 14.194 s
% 101.34/15.34 % Vampire exiting
%------------------------------------------------------------------------------