%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL091-1 : 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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:57:37 AM UTC 2026
% Result : Unsatisfiable 0.30s 0.71s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 109 ( 27 unt; 13 def)
% Number of atoms : 235 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 225 ( 99 ~; 113 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 15 ( 14 usr; 14 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 261 ( 0 sgn 261 !; 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(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_2) ).
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(f6,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X4,X1))),implies(X5,implies(X6,implies(X3,implies(X4,X1)))))),
inference(resolution,[],[f5,f4]) ).
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,X5] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(implies(X2,X3),implies(X4,implies(X5,implies(X2,X3))))))),
inference(resolution,[],[f6,f7]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X4,X3),implies(X3,X5))),implies(X6,implies(X7,implies(implies(X4,X3),implies(X3,X5)))))),
inference(resolution,[],[f6,f4]) ).
fof(f24,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f19,f17]) ).
fof(f25,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f24]) ).
fof(f26,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(f44,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,[],[f26,f7]) ).
fof(f48,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),implies(X4,implies(X5,implies(X6,X2)))),implies(X7,implies(X8,implies(X4,implies(X5,implies(X6,X2))))))),
inference(resolution,[],[f20,f4]) ).
fof(f50,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X4,X3),implies(X3,X5))))
| is_a_theorem(implies(X6,implies(X7,implies(implies(X4,X3),implies(X3,X5))))) ),
inference(resolution,[],[f20,f1]) ).
fof(f52,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,[],[f44,f1]) ).
fof(f57,definition,
( spl0_4
<=> ! [X2,X1,X3,X4] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f58,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f59,plain,
( spl0_4
| spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f52,f13,f16,f57]) ).
fof(f63,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X2,X3))))
| ~ spl0_4 ),
inference(resolution,[],[f58,f4]) ).
fof(f171,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))),
inference(resolution,[],[f50,f2]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ is_a_theorem(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),implies(X4,implies(X5,implies(X6,X2)))))
| is_a_theorem(implies(X7,implies(X8,implies(X4,implies(X5,implies(X6,X2)))))) ),
inference(resolution,[],[f48,f1]) ).
fof(f218,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3))))) ),
inference(resolution,[],[f171,f1]) ).
fof(f226,definition,
( spl0_7
<=> ! [X4,X2,X1,X3] : is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3))))) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f227,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f218,f16,f226]) ).
fof(f264,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2)))) )
| ~ spl0_7 ),
inference(resolution,[],[f227,f1]) ).
fof(f273,definition,
( spl0_8
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2)))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f274,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(implies(X1,X2),X2),implies(X2,implies(X3,X2))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f275,plain,
( spl0_8
| spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f264,f226,f16,f273]) ).
fof(f302,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X3,implies(X1,implies(X2,X1)))))
| ~ spl0_8 ),
inference(resolution,[],[f274,f4]) ).
fof(f498,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| is_a_theorem(implies(X3,implies(X1,implies(X2,X1)))) )
| ~ spl0_8 ),
inference(resolution,[],[f302,f1]) ).
fof(f501,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2)))))),
inference(resolution,[],[f206,f2]) ).
fof(f647,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2))))) ),
inference(resolution,[],[f501,f1]) ).
fof(f662,definition,
( spl0_10
<=> ! [X3,X4,X5,X2,X1] : is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2))))) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f663,plain,
( ! [X2,X3,X1,X4,X5] : is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,implies(implies(X5,X2),X2)))))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f664,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f647,f16,f662]) ).
fof(f668,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X4,X1),X1)))) )
| ~ spl0_10 ),
inference(resolution,[],[f663,f1]) ).
fof(f683,definition,
( spl0_11
<=> ! [X4,X3,X2,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X4,X1),X1)))) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f684,plain,
( ! [X2,X3,X1,X4] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(implies(X4,X1),X1))))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f685,plain,
( spl0_11
| spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f668,f662,f16,f683]) ).
fof(f707,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(X2,implies(implies(X3,X0),X0))) )
| ~ spl0_11 ),
inference(resolution,[],[f684,f1]) ).
fof(f752,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,implies(X3,X3))),implies(X2,implies(X3,X3)))))
| ~ spl0_4
| ~ spl0_11 ),
inference(resolution,[],[f707,f63]) ).
fof(f1011,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X3))),implies(X2,implies(X3,X3)))) )
| ~ spl0_4
| ~ spl0_11 ),
inference(resolution,[],[f752,f1]) ).
fof(f1028,definition,
( spl0_13
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X3))),implies(X2,implies(X3,X3)))) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f1029,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(X1,implies(X2,implies(X3,X3))),implies(X2,implies(X3,X3))))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1030,plain,
( spl0_13
| spl0_2
| ~ spl0_4
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1011,f683,f57,f16,f1028]) ).
fof(f1048,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,implies(X3,X1))))
| ~ spl0_13 ),
inference(resolution,[],[f1029,f4]) ).
fof(f1049,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X3,X3)))))
| ~ spl0_13 ),
inference(resolution,[],[f1029,f50]) ).
fof(f1350,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,implies(X3,X1))) )
| ~ spl0_13 ),
inference(resolution,[],[f1048,f1]) ).
fof(f1382,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X3)))) )
| ~ spl0_13 ),
inference(resolution,[],[f1049,f1]) ).
fof(f1402,definition,
( spl0_19
<=> ! [X2,X1,X3] : is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X3)))) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f1403,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X3))))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f1404,plain,
( spl0_19
| spl0_2
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1382,f1028,f16,f1402]) ).
fof(f1432,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(X2,X2))) )
| ~ spl0_19 ),
inference(resolution,[],[f1403,f1]) ).
fof(f1452,definition,
( spl0_20
<=> ! [X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(X2,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f1453,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(X2,X2)))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1454,plain,
( spl0_20
| spl0_2
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1432,f1402,f16,f1452]) ).
fof(f1984,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2))))
| ~ spl0_13
| ~ spl0_20 ),
inference(resolution,[],[f1350,f1453]) ).
fof(f2018,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X2))) )
| ~ spl0_13
| ~ spl0_20 ),
inference(resolution,[],[f1984,f1]) ).
fof(f2041,definition,
( spl0_22
<=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X2))) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f2042,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X2)))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f2041]) ).
fof(f2043,plain,
( spl0_22
| spl0_2
| ~ spl0_13
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f2018,f1452,f1028,f16,f2041]) ).
fof(f2077,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X1)) )
| ~ spl0_22 ),
inference(resolution,[],[f2042,f1]) ).
fof(f2099,definition,
( spl0_23
<=> ! [X1] : is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f2100,plain,
( ! [X1] : is_a_theorem(implies(X1,X1))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f2099]) ).
fof(f2101,plain,
( spl0_23
| spl0_2
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f2077,f2041,f16,f2099]) ).
fof(f2131,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))
| ~ spl0_8
| ~ spl0_23 ),
inference(resolution,[],[f2100,f498]) ).
fof(f2256,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X1))) )
| ~ spl0_8
| ~ spl0_23 ),
inference(resolution,[],[f2131,f1]) ).
fof(f2278,definition,
( spl0_25
<=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1))) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f2279,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1)))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f2278]) ).
fof(f2280,plain,
( spl0_25
| spl0_2
| ~ spl0_8
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f2256,f2099,f273,f16,f2278]) ).
fof(f2301,plain,
( $false
| ~ spl0_25 ),
inference(resolution,[],[f2279,f3]) ).
fof(f2326,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f2301]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f18]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f25]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f59]) ).
cnf(s8,plain,
( spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f228]) ).
cnf(s9,plain,
( spl0_2
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f275]) ).
cnf(s11,plain,
( spl0_2
| spl0_10 ),
inference(sat_conversion,[],[f664]) ).
cnf(s12,plain,
( spl0_2
| ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f685]) ).
cnf(s14,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f1030]) ).
cnf(s20,plain,
( spl0_2
| ~ spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f1404]) ).
cnf(s21,plain,
( spl0_2
| ~ spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f1454]) ).
cnf(s23,plain,
( spl0_2
| ~ spl0_13
| ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f2043]) ).
cnf(s24,plain,
( spl0_2
| ~ spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f2101]) ).
cnf(s26,plain,
( spl0_2
| ~ spl0_8
| ~ spl0_23
| spl0_25 ),
inference(sat_conversion,[],[f2280]) ).
cnf(s27,plain,
~ spl0_25,
inference(sat_conversion,[],[f2326]) ).
cnf(s28,plain,
( spl0_2
| ~ spl0_8
| ~ spl0_23 ),
inference(rat,[],[s26,s27]) ).
cnf(s33,plain,
spl0_10,
inference(rat,[],[s11,s3]) ).
cnf(s34,plain,
spl0_7,
inference(rat,[],[s8,s3]) ).
cnf(s36,plain,
spl0_11,
inference(rat,[],[s12,s3,s33]) ).
cnf(s37,plain,
spl0_8,
inference(rat,[],[s9,s3,s34]) ).
cnf(s40,plain,
~ spl0_23,
inference(rat,[],[s28,s3,s37]) ).
cnf(s41,plain,
~ spl0_22,
inference(rat,[],[s24,s3,s40]) ).
cnf(s42,plain,
spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s43,plain,
spl0_4,
inference(rat,[],[s5,s3,s42]) ).
cnf(s44,plain,
spl0_13,
inference(rat,[],[s14,s36,s3,s43]) ).
cnf(s48,plain,
~ spl0_20,
inference(rat,[],[s23,s41,s3,s44]) ).
cnf(s49,plain,
spl0_19,
inference(rat,[],[s20,s3,s44]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s21,s3,s48,s49]) ).
fof(f2327,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL091-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.47 % Computer : n014.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 15:21:17 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.53 Running first-order model finding
% 0.26/0.53 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.71 % (929853)Will run a generic schedule for satisfiability detection.
% 0.30/0.71 % (929862)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1603703938:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.30/0.71 % (929858)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2941693283_2999 on theBenchmark for (2999ds/0Mi)
% 0.30/0.71 % TRYING [1]
% 0.30/0.71 % TRYING [2]
% 0.30/0.71 % TRYING [3]
% 0.30/0.71 % (929864)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3536026169:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.30/0.71 % TRYING [4]
% 0.30/0.71 % (929863)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2173903726:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.30/0.71 % (929861)dis+10_1_sil=32000:sp=arity:random_seed=521378452:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.30/0.71 % (929860)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3874349730:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.30/0.71 % (929859)% WARNING: option uhcvi not known.
% 0.30/0.71 % (929859)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2375981028:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.30/0.71 % (929861) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-929853-929861"...
% 0.30/0.71 % (929863) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-929853-929863"...
% 0.30/0.71 % (929862)Instruction limit reached!
% 0.30/0.71 % (929862)------------------------------
% 0.30/0.71 % (929862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.71 % (929862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.71 % (929862)CaDiCaL version: 2.1.3
% 0.30/0.71 % (929862)Termination reason: Instruction limit
% 0.30/0.71 % (929862)Termination phase: Saturation
% 0.30/0.71 % (929862)Time elapsed: 0.109 s
% 0.30/0.71 % (929862)Peak memory usage: 11 MB
% 0.30/0.71 % (929862)Instructions burned: 116 (million)
% 0.30/0.71 % (929863)...printing done.
% 0.30/0.71 % (929861)...printing done.
% 0.30/0.71 % (929864)Instruction limit reached!
% 0.30/0.71 % (929864)------------------------------
% 0.30/0.71 % (929864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.71 % (929864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.71 % (929864)CaDiCaL version: 2.1.3
% 0.30/0.71 % (929864)Termination reason: Instruction limit
% 0.30/0.71 % (929864)Termination phase: Saturation
% 0.30/0.71 % (929864)Time elapsed: 0.090 s
% 0.30/0.71 % (929864)Peak memory usage: 12 MB
% 0.30/0.71 % (929864)Instructions burned: 159 (million)
% 0.30/0.71 % (929863)Refutation found. Thanks to Tanya!
% 0.30/0.71 % SZS status Unsatisfiable for theBenchmark
% 0.30/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/0.72 % (929863)------------------------------
% 0.30/0.72 % (929863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.72 % (929863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.72 % (929863)CaDiCaL version: 2.1.3
% 0.30/0.72 % (929863)Termination reason: Refutation
% 0.30/0.72 % (929863)Time elapsed: 0.083 s
% 0.30/0.72 % (929863)Peak memory usage: 12 MB
% 0.30/0.72 % (929863)Instructions burned: 82 (million)
% 0.30/0.72 % (929853)Success in time 0.173 s
% 0.30/0.72 % Vampire exiting
%------------------------------------------------------------------------------