%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL095-1 : 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 : n001.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 11:57:38 AM UTC 2026
% Result : Unsatisfiable 5.18s 1.26s
% Output : Refutation 5.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 117 ( 21 unt; 14 def)
% Number of atoms : 280 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 296 ( 133 ~; 149 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 16 ( 15 usr; 15 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 272 ( 0 sgn 272 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(X3,X0),implies(X4,implies(X2,X0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_5) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0)))) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X2,X3)),implies(X4,implies(implies(X5,X2),implies(X2,X3))))),
inference(resolution,[],[f4,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,X3)))
| is_a_theorem(implies(X4,implies(implies(X5,X2),implies(X2,X3)))) ),
inference(resolution,[],[f5,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))),
inference(resolution,[],[f7,f5]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))) ),
inference(resolution,[],[f8,f1]) ).
fof(f13,definition,
( spl0_1
<=> ! [X2,X1,X3,X4] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f14,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f16,definition,
( spl0_2
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f17,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f18,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f16,f13]) ).
fof(f19,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),X3),implies(X4,implies(X2,X3))))
| ~ spl0_1 ),
inference(resolution,[],[f14,f4]) ).
fof(f26,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))))
| ~ spl0_1 ),
inference(resolution,[],[f19,f7]) ).
fof(f28,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),X3))
| is_a_theorem(implies(X4,implies(X2,X3))) )
| ~ spl0_1 ),
inference(resolution,[],[f19,f1]) ).
fof(f34,definition,
( spl0_3
<=> ! [X2,X1,X3,X4] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f35,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f37,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f17,f2]) ).
fof(f46,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f37]) ).
fof(f50,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))) )
| ~ spl0_1 ),
inference(resolution,[],[f1,f26]) ).
fof(f52,plain,
( spl0_3
| spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f50,f13,f16,f34]) ).
fof(f59,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2))))))
| ~ spl0_1 ),
inference(resolution,[],[f28,f2]) ).
fof(f62,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(implies(X4,X3),X1))))))
| ~ spl0_1 ),
inference(resolution,[],[f28,f19]) ).
fof(f64,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2))))) )
| ~ spl0_1 ),
inference(resolution,[],[f59,f1]) ).
fof(f67,definition,
( spl0_4
<=> ! [X4,X3,X2,X1] : is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2))))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f68,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f69,plain,
( spl0_4
| spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f64,f13,f16,f67]) ).
fof(f98,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X4,X3),X1))))) )
| ~ spl0_1 ),
inference(resolution,[],[f62,f1]) ).
fof(f101,definition,
( spl0_8
<=> ! [X4,X3,X2,X1] : is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X4,X3),X1))))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f102,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X4,X3),X1)))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f103,plain,
( spl0_8
| spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f98,f13,f16,f101]) ).
fof(f110,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X2),X0))))
| ~ is_a_theorem(X0) )
| ~ spl0_8 ),
inference(resolution,[],[f102,f1]) ).
fof(f114,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(implies(X2,implies(implies(X3,X2),X0))) )
| ~ spl0_8 ),
inference(resolution,[],[f110,f1]) ).
fof(f117,definition,
( spl0_10
<=> ! [X2,X0,X3] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,implies(implies(X3,X2),X0))) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f118,plain,
( ! [X2,X3,X0] :
( is_a_theorem(implies(X2,implies(implies(X3,X2),X0)))
| ~ is_a_theorem(X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f119,plain,
( spl0_2
| spl0_10
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f114,f101,f117,f16]) ).
fof(f126,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X1),X0))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) )
| ~ spl0_10 ),
inference(resolution,[],[f118,f1]) ).
fof(f326,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X2,X3))))
| ~ spl0_3 ),
inference(resolution,[],[f4,f35]) ).
fof(f329,plain,
( ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(X0,X4))))
| ~ spl0_1 ),
inference(resolution,[],[f4,f59]) ).
fof(f335,plain,
( ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(implies(implies(X3,X5),X2),X3))))
| ~ spl0_4 ),
inference(resolution,[],[f4,f68]) ).
fof(f343,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1))))
| ~ is_a_theorem(X4)
| ~ is_a_theorem(implies(X3,X0)) )
| ~ spl0_10 ),
inference(resolution,[],[f4,f126]) ).
fof(f346,definition,
( spl0_37
<=> ! [X0,X3,X2,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1))))
| ~ is_a_theorem(implies(X3,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f347,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1))))
| ~ is_a_theorem(implies(X3,X0)) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f348,plain,
( spl0_2
| spl0_37
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f343,f117,f346,f16]) ).
fof(f349,plain,
( ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,implies(X3,X0))),implies(X4,implies(X5,implies(X2,implies(X3,X0))))))
| ~ spl0_3 ),
inference(resolution,[],[f326,f4]) ).
fof(f6030,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X0))))
| is_a_theorem(implies(X4,implies(X5,implies(X2,implies(X3,X0))))) )
| ~ spl0_3 ),
inference(resolution,[],[f349,f1]) ).
fof(f6381,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3))))))
| ~ spl0_3 ),
inference(resolution,[],[f6030,f2]) ).
fof(f6458,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3))))) )
| ~ spl0_3 ),
inference(resolution,[],[f6381,f1]) ).
fof(f6529,definition,
( spl0_299
<=> ! [X4,X2,X1,X3] : is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3))))) ),
introduced(definition,[new_symbols(definition,[spl0_299])],[avatar_definition]) ).
fof(f6530,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3)))))
| ~ spl0_299 ),
inference(avatar_component_clause,[],[f6529]) ).
fof(f6531,plain,
( spl0_299
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6458,f34,f16,f6529]) ).
fof(f6534,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2)))) )
| ~ spl0_299 ),
inference(resolution,[],[f6530,f1]) ).
fof(f6587,definition,
( spl0_301
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2)))) ),
introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).
fof(f6588,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2))))
| ~ spl0_301 ),
inference(avatar_component_clause,[],[f6587]) ).
fof(f6589,plain,
( spl0_301
| spl0_2
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f6534,f6529,f16,f6587]) ).
fof(f6590,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3)))))
| ~ spl0_3
| ~ spl0_301 ),
inference(resolution,[],[f6588,f6030]) ).
fof(f6763,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))) )
| ~ spl0_3
| ~ spl0_301 ),
inference(resolution,[],[f6590,f1]) ).
fof(f6835,definition,
( spl0_312
<=> ! [X2,X1,X3] : is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))) ),
introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).
fof(f6836,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(X1,implies(X2,implies(X3,X3))))
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f6835]) ).
fof(f6837,plain,
( spl0_312
| spl0_2
| ~ spl0_3
| ~ spl0_301 ),
inference(avatar_split_clause,[],[f6763,f6587,f34,f16,f6835]) ).
fof(f6840,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X2))) )
| ~ spl0_312 ),
inference(resolution,[],[f6836,f1]) ).
fof(f6894,definition,
( spl0_314
<=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).
fof(f6895,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X2)))
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f6894]) ).
fof(f6896,plain,
( spl0_314
| spl0_2
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f6840,f6835,f16,f6894]) ).
fof(f6911,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1))))
| ~ spl0_314 ),
inference(resolution,[],[f6895,f4]) ).
fof(f6992,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(X3,X0))))
| ~ spl0_314 ),
inference(resolution,[],[f6911,f4]) ).
fof(f7557,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(X2,implies(X3,X0))) )
| ~ spl0_314 ),
inference(resolution,[],[f6992,f1]) ).
fof(f7658,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3)))))
| ~ spl0_4
| ~ spl0_314 ),
inference(resolution,[],[f7557,f335]) ).
fof(f8824,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3)))) )
| ~ spl0_4
| ~ spl0_314 ),
inference(resolution,[],[f7658,f1]) ).
fof(f8902,definition,
( spl0_353
<=> ! [X4,X2,X1,X3] : is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3)))) ),
introduced(definition,[new_symbols(definition,[spl0_353])],[avatar_definition]) ).
fof(f8903,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3))))
| ~ spl0_353 ),
inference(avatar_component_clause,[],[f8902]) ).
fof(f8904,plain,
( spl0_353
| spl0_2
| ~ spl0_4
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f8824,f6894,f67,f16,f8902]) ).
fof(f8908,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) )
| ~ spl0_353 ),
inference(resolution,[],[f8903,f1]) ).
fof(f8968,definition,
( spl0_355
<=> ! [X2,X1,X3] : is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) ),
introduced(definition,[new_symbols(definition,[spl0_355])],[avatar_definition]) ).
fof(f8969,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))
| ~ spl0_355 ),
inference(avatar_component_clause,[],[f8968]) ).
fof(f8970,plain,
( spl0_355
| spl0_2
| ~ spl0_353 ),
inference(avatar_split_clause,[],[f8908,f8902,f16,f8968]) ).
fof(f8974,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) )
| ~ spl0_355 ),
inference(resolution,[],[f8969,f1]) ).
fof(f9032,definition,
( spl0_357
<=> ! [X2,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
introduced(definition,[new_symbols(definition,[spl0_357])],[avatar_definition]) ).
fof(f9033,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),X1))
| ~ spl0_357 ),
inference(avatar_component_clause,[],[f9032]) ).
fof(f9034,plain,
( spl0_357
| spl0_2
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f8974,f8968,f16,f9032]) ).
fof(f9058,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(X0) )
| ~ spl0_357 ),
inference(resolution,[],[f9033,f1]) ).
fof(f9203,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_37
| ~ spl0_357 ),
inference(resolution,[],[f9058,f347]) ).
fof(f9225,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1))))
| ~ spl0_1
| ~ spl0_357 ),
inference(resolution,[],[f9058,f329]) ).
fof(f18083,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl0_1
| ~ spl0_37
| ~ spl0_357 ),
inference(resolution,[],[f9203,f9225]) ).
fof(f18223,plain,
( $false
| ~ spl0_1
| ~ spl0_37
| ~ spl0_357 ),
inference(resolution,[],[f18083,f3]) ).
fof(f18294,plain,
( ~ spl0_1
| ~ spl0_37
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f18223]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f18]) ).
cnf(s7,plain,
~ spl0_2,
inference(sat_conversion,[],[f46]) ).
cnf(s8,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f52]) ).
cnf(s9,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f69]) ).
cnf(s13,plain,
( ~ spl0_1
| spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f103]) ).
cnf(s15,plain,
( spl0_2
| ~ spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f119]) ).
cnf(s43,plain,
( spl0_2
| ~ spl0_10
| spl0_37 ),
inference(sat_conversion,[],[f348]) ).
cnf(s647,plain,
( spl0_2
| ~ spl0_3
| spl0_299 ),
inference(sat_conversion,[],[f6531]) ).
cnf(s655,plain,
( spl0_2
| ~ spl0_299
| spl0_301 ),
inference(sat_conversion,[],[f6589]) ).
cnf(s675,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_301
| spl0_312 ),
inference(sat_conversion,[],[f6837]) ).
cnf(s683,plain,
( spl0_2
| ~ spl0_312
| spl0_314 ),
inference(sat_conversion,[],[f6896]) ).
cnf(s793,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_314
| spl0_353 ),
inference(sat_conversion,[],[f8904]) ).
cnf(s801,plain,
( spl0_2
| ~ spl0_353
| spl0_355 ),
inference(sat_conversion,[],[f8970]) ).
cnf(s807,plain,
( spl0_2
| ~ spl0_355
| spl0_357 ),
inference(sat_conversion,[],[f9034]) ).
cnf(s1047,plain,
( ~ spl0_1
| ~ spl0_37
| ~ spl0_357 ),
inference(sat_conversion,[],[f18294]) ).
cnf(s1049,plain,
spl0_1,
inference(rat,[],[s1,s7]) ).
cnf(s1051,plain,
spl0_8,
inference(rat,[],[s13,s7,s1049]) ).
cnf(s1052,plain,
spl0_4,
inference(rat,[],[s9,s7,s1049]) ).
cnf(s1053,plain,
spl0_3,
inference(rat,[],[s8,s7,s1049]) ).
cnf(s1054,plain,
spl0_10,
inference(rat,[],[s15,s7,s1051]) ).
cnf(s1085,plain,
spl0_299,
inference(rat,[],[s647,s7,s1053]) ).
cnf(s1102,plain,
spl0_37,
inference(rat,[],[s43,s7,s1054]) ).
cnf(s1110,plain,
spl0_301,
inference(rat,[],[s655,s7,s1085]) ).
cnf(s1125,plain,
~ spl0_357,
inference(rat,[],[s1047,s1049,s1102]) ).
cnf(s1197,plain,
spl0_312,
inference(rat,[],[s675,s1053,s7,s1110]) ).
cnf(s1227,plain,
~ spl0_355,
inference(rat,[],[s807,s7,s1125]) ).
cnf(s1281,plain,
spl0_314,
inference(rat,[],[s683,s7,s1197]) ).
cnf(s1288,plain,
~ spl0_353,
inference(rat,[],[s801,s7,s1227]) ).
cnf(s1299,plain,
$false,
inference(rat,[],[s793,s1052,s7,s1288,s1281]) ).
fof(f18295,plain,
$false,
inference(avatar_sat_refutation,[],[s1299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL095-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.42 % Computer : n001.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 27 15:27:30 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 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
% 5.18/1.26 % (3705646)Will run a generic schedule for satisfiability detection.
% 5.18/1.26 % (3705654)dis+10_1_sil=32000:sp=arity:random_seed=216995478:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 5.18/1.26 % (3705657)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1579583811:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 5.18/1.26 % (3705652)% WARNING: option uhcvi not known.
% 5.18/1.26 % (3705652)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3481369243:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 5.18/1.26 % (3705651)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3380775705_3000 on theBenchmark for (3000ds/0Mi)
% 5.18/1.26 % (3705655)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2903017863:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 5.18/1.26 % (3705653)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2032329618:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 5.18/1.26 % (3705656)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1299876843:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 5.18/1.26 % TRYING [1]
% 5.18/1.26 % TRYING [2]
% 5.18/1.26 % TRYING [3]
% 5.18/1.26 % TRYING [4]
% 5.18/1.26 % (3705654)Instruction limit reached!
% 5.18/1.26 % (3705654)------------------------------
% 5.18/1.26 % (3705654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.26 % (3705654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.26 % (3705654)CaDiCaL version: 2.1.3
% 5.18/1.26 % (3705654)Termination reason: Instruction limit
% 5.18/1.26 % (3705654)Termination phase: Saturation
% 5.18/1.26 % (3705654)Time elapsed: 0.057 s
% 5.18/1.26 % (3705654)Peak memory usage: 12 MB
% 5.18/1.26 % (3705654)Instructions burned: 104 (million)
% 5.18/1.26 % (3705665)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1235092174:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.18/1.26 % TRYING [1]
% 5.18/1.26 % TRYING [2]
% 5.18/1.26 % TRYING [3]
% 5.18/1.26 % TRYING [4]
% 5.18/1.26 % (3705655)Instruction limit reached!
% 5.18/1.26 % (3705655)------------------------------
% 5.18/1.26 % (3705655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.26 % (3705655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.26 % (3705655)CaDiCaL version: 2.1.3
% 5.18/1.26 % (3705655)Termination reason: Instruction limit
% 5.18/1.26 % (3705655)Termination phase: Saturation
% 5.18/1.26 % (3705655)Time elapsed: 0.110 s
% 5.18/1.26 % (3705655)Peak memory usage: 11 MB
% 5.18/1.26 % (3705655)Instructions burned: 116 (million)
% 5.18/1.26 % (3705656)Instruction limit reached!
% 5.18/1.26 % (3705656)------------------------------
% 5.18/1.26 % (3705656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.26 % (3705656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.26 % (3705656)CaDiCaL version: 2.1.3
% 5.18/1.26 % (3705656)Termination reason: Instruction limit
% 5.18/1.26 % (3705656)Termination phase: Saturation
% 5.18/1.26 % (3705656)Time elapsed: 0.131 s
% 5.18/1.26 % (3705656)Peak memory usage: 12 MB
% 5.18/1.26 % (3705656)Instructions burned: 132 (million)
% 5.18/1.26 % (3705667)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=556821983:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.18/1.26 % (3705657)Instruction limit reached!
% 5.18/1.26 % (3705657)------------------------------
% 5.18/1.26 % (3705657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.26 % (3705657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.26 % (3705657)CaDiCaL version: 2.1.3
% 5.18/1.26 % (3705657)Termination reason: Instruction limit
% 5.18/1.26 % (3705657)Termination phase: Saturation
% 5.18/1.26 % (3705657)Time elapsed: 0.158 s
% 5.18/1.26 % (3705657)Peak memory usage: 12 MB
% 5.18/1.26 % (3705657)Instructions burned: 159 (million)
% 5.18/1.26 % (3705668)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2933073942:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.18/1.26 % (3705670)ott-21_1_sil=16000:fs=off:random_seed=3877933932:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.18/1.26 % TRYING [5]
% 5.18/1.26 % TRYING [5]
% 5.18/1.26 % (3705667)Instruction limit reached!
% 5.18/1.26 % (3705667)------------------------------
% 5.18/1.26 % (3705667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.26 % (3705667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.26 % (3705667)CaDiCaL version: 2.1.3
% 5.18/1.26 % (3705667)Termination reason: Instruction limit
% 5.18/1.26 % (3705667)Termination phase: Saturation
% 5.18/1.26 % (3705667)Time elapsed: 0.102 s
% 5.18/1.26 % (3705667)Peak memory usage: 12 MB
% 5.18/1.26 % (3705667)Instructions burned: 132 (million)
% 5.18/1.26 % (3705673)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3728321490:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.18/1.26 % (3705670)Instruction limit reached!
% 5.18/1.26 % (3705670)------------------------------
% 5.18/1.26 % (3705670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.26 % (3705670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.26 % (3705670)CaDiCaL version: 2.1.3
% 5.18/1.26 % (3705670)Termination reason: Instruction limit
% 5.18/1.26 % (3705670)Termination phase: Saturation
% 5.18/1.26 % (3705670)Time elapsed: 0.177 s
% 5.18/1.26 % (3705670)Peak memory usage: 11 MB
% 5.18/1.26 % (3705670)Instructions burned: 180 (million)
% 5.18/1.26 % (3705675)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=182977290:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 5.18/1.26 % TRYING [1]
% 5.18/1.26 % TRYING [2]
% 5.18/1.26 % TRYING [3]
% 5.18/1.26 % TRYING [4]
% 5.18/1.26 % (3705665)Instruction limit reached!
% 5.18/1.26 % (3705665)------------------------------
% 5.18/1.26 % (3705665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.26 % (3705665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.26 % (3705665)CaDiCaL version: 2.1.3
% 5.18/1.26 % (3705665)Termination reason: Instruction limit
% 5.18/1.26 % (3705665)Termination phase: Finite model building SAT solving
% 5.18/1.26 % (3705665)Time elapsed: 0.365 s
% 5.18/1.26 % (3705665)Peak memory usage: 15 MB
% 5.18/1.26 % (3705665)Instructions burned: 715 (million)
% 5.18/1.26 % (3705677)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=225857223:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 5.18/1.26 % TRYING [5]
% 5.18/1.26 % (3705673)Instruction limit reached!
% 5.18/1.26 % (3705673)------------------------------
% 5.18/1.26 % (3705673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.26 % (3705673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.26 % (3705673)CaDiCaL version: 2.1.3
% 5.18/1.26 % (3705673)Termination reason: Instruction limit
% 5.18/1.26 % (3705673)Termination phase: Saturation
% 5.18/1.26 % (3705673)Time elapsed: 0.458 s
% 5.18/1.26 % (3705673)Peak memory usage: 15 MB
% 5.18/1.26 % (3705673)Instructions burned: 477 (million)
% 5.18/1.26 % (3705668) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3705646-3705668"...
% 5.18/1.26 % (3705668)...printing done.
% 5.18/1.26 % (3705668)Refutation found. Thanks to Tanya!
% 5.18/1.26 % SZS status Unsatisfiable for theBenchmark
% 5.18/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 5.18/1.26 % (3705668)------------------------------
% 5.18/1.26 % (3705668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.26 % (3705668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.26 % (3705668)CaDiCaL version: 2.1.3
% 5.18/1.26 % (3705668)Termination reason: Refutation
% 5.18/1.26 % (3705668)Time elapsed: 0.565 s
% 5.18/1.26 % (3705668)Peak memory usage: 18 MB
% 5.18/1.26 % (3705668)Instructions burned: 619 (million)
% 5.18/1.26 % (3705646)Success in time 0.774 s
% 5.18/1.26 % Vampire exiting
%------------------------------------------------------------------------------