%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL032-1 : TPTP v9.3.1. Released v1.0.0.
% 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 11:50:59 AM UTC 2026
% Result : Unsatisfiable 33.38s 9.17s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 17
% Syntax : Number of formulae : 200 ( 33 unt; 14 def)
% Number of atoms : 804 ( 10 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 1195 ( 591 ~; 595 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 461 ( 0 sgn 461 !; 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] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_CAMeredith) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_1) ).
fof(f4,definition,
sF0 = implies(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
implies(a,b) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = implies(b,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
implies(b,c) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = implies(a,c),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
implies(a,c) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF3 = implies(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f11,plain,
implies(sF1,sF2) = sF3,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF4 = implies(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f13,plain,
implies(sF0,sF3) = sF4,
inference(reorient_equations,[],[f12]) ).
fof(f14,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f3,f13,f11,f9,f7,f5]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4))
| is_a_theorem(implies(implies(X4,X0),implies(X2,X0))) ),
inference(resolution,[],[f1,f2]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(resolution,[],[f15,f2]) ).
fof(f17,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(falsehood,X1)),X2),implies(X3,X2))),
inference(resolution,[],[f16,f15]) ).
fof(f18,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))) ),
inference(resolution,[],[f16,f1]) ).
fof(f90,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(falsehood,X2))),
inference(resolution,[],[f17,f15]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(falsehood,X1)),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(resolution,[],[f17,f1]) ).
fof(f97,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))),
inference(resolution,[],[f90,f15]) ).
fof(f113,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f18,f97]) ).
fof(f137,definition,
( spl5_10
<=> ! [X2] : is_a_theorem(implies(X2,sF4)) ),
introduced(definition,[new_symbols(definition,[spl5_10])],[avatar_definition]) ).
fof(f138,plain,
( ! [X2] : is_a_theorem(implies(X2,sF4))
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f164,plain,
( ! [X0] :
( ~ is_a_theorem(X0)
| is_a_theorem(sF4) )
| ~ spl5_10 ),
inference(resolution,[],[f138,f1]) ).
fof(f166,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl5_10 ),
inference(forward_subsumption_resolution,[],[f164,f14]) ).
fof(f167,plain,
( $false
| ~ spl5_10 ),
inference(resolution,[],[f166,f2]) ).
fof(f178,plain,
~ spl5_10,
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X1))) ),
inference(resolution,[],[f113,f1]) ).
fof(f188,definition,
( spl5_18
<=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1))) ),
introduced(definition,[new_symbols(definition,[spl5_18])],[avatar_definition]) ).
fof(f189,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1)))
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f191,definition,
( spl5_19
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl5_19])],[avatar_definition]) ).
fof(f192,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f193,plain,
( spl5_18
| spl5_19 ),
inference(avatar_split_clause,[],[f179,f191,f188]) ).
fof(f196,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1)))
| ~ spl5_18 ),
inference(resolution,[],[f189,f15]) ).
fof(f292,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(falsehood,X2)))),
inference(resolution,[],[f91,f16]) ).
fof(f303,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),implies(X0,falsehood)),X2)))
| ~ spl5_18 ),
inference(resolution,[],[f196,f15]) ).
fof(f320,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X1,X3),implies(X0,falsehood)),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) )
| ~ spl5_18 ),
inference(resolution,[],[f303,f1]) ).
fof(f331,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))
| is_a_theorem(implies(implies(X3,X1),implies(X4,X1))) )
| ~ spl5_18 ),
inference(resolution,[],[f320,f15]) ).
fof(f342,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),implies(X3,X2)),X0),implies(X4,X0)))
| ~ spl5_18 ),
inference(resolution,[],[f331,f2]) ).
fof(f382,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X1,X2))))
| ~ spl5_18 ),
inference(resolution,[],[f342,f15]) ).
fof(f409,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X1,X2)))
| is_a_theorem(implies(X3,implies(X1,X2))) )
| ~ spl5_18 ),
inference(resolution,[],[f382,f1]) ).
fof(f428,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
| ~ spl5_18 ),
inference(resolution,[],[f409,f97]) ).
fof(f468,plain,
( $false
| ~ spl5_19 ),
inference(forward_subsumption_resolution,[],[f292,f192]) ).
fof(f469,plain,
~ spl5_19,
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f472,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,implies(implies(implies(X1,X2),implies(X3,falsehood)),X4)),X1),implies(X3,X1)))
| ~ spl5_18 ),
inference(resolution,[],[f189,f15]) ).
fof(f481,plain,
( ! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X1)) )
| ~ spl5_18 ),
inference(resolution,[],[f428,f1]) ).
fof(f483,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))
| ~ spl5_18 ),
inference(resolution,[],[f428,f15]) ).
fof(f488,definition,
( spl5_25
<=> ! [X1] : is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[spl5_25])],[avatar_definition]) ).
fof(f489,plain,
( ! [X1] : is_a_theorem(implies(X1,X1))
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f490,plain,
( spl5_25
| spl5_19
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f481,f188,f191,f488]) ).
fof(f492,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X0),implies(X2,X0)))
| ~ spl5_25 ),
inference(resolution,[],[f489,f15]) ).
fof(f507,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X1,X2))))
| ~ spl5_25 ),
inference(resolution,[],[f492,f15]) ).
fof(f522,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(implies(X1,falsehood),X2)),X3),implies(X1,X3)))
| ~ spl5_25 ),
inference(resolution,[],[f507,f15]) ).
fof(f560,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,falsehood),X2)))
| ~ spl5_25 ),
inference(resolution,[],[f522,f15]) ).
fof(f575,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(implies(X0,falsehood),X2)) )
| ~ spl5_25 ),
inference(resolution,[],[f560,f1]) ).
fof(f597,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,falsehood),implies(X0,X1)))
| ~ spl5_25 ),
inference(resolution,[],[f575,f489]) ).
fof(f629,plain,
( is_a_theorem(implies(implies(a,falsehood),sF2))
| ~ spl5_25 ),
inference(superposition,[],[f597,f9]) ).
fof(f829,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X1,X3),implies(X0,falsehood)),X2)))
| ~ spl5_18 ),
inference(resolution,[],[f472,f15]) ).
fof(f853,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X1,X3),implies(X0,falsehood)),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) )
| ~ spl5_18 ),
inference(resolution,[],[f829,f1]) ).
fof(f888,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))
| is_a_theorem(implies(implies(X3,X1),implies(X4,X1))) )
| ~ spl5_18 ),
inference(resolution,[],[f853,f15]) ).
fof(f894,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(implies(implies(X1,X3),falsehood),X2)) )
| ~ spl5_18
| ~ spl5_25 ),
inference(resolution,[],[f853,f575]) ).
fof(f906,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl5_18 ),
inference(resolution,[],[f888,f853]) ).
fof(f907,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),implies(X3,X2)),X0),implies(X4,X0)))
| ~ spl5_18 ),
inference(resolution,[],[f888,f2]) ).
fof(f920,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1)))
| ~ spl5_18 ),
inference(resolution,[],[f888,f97]) ).
fof(f938,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X4,X1),X0))
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,implies(X1,X2)))) )
| ~ spl5_18 ),
inference(resolution,[],[f906,f853]) ).
fof(f939,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))
| ~ spl5_18
| ~ spl5_25 ),
inference(resolution,[],[f906,f597]) ).
fof(f984,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(X2,X0)) )
| ~ spl5_18
| ~ spl5_25 ),
inference(resolution,[],[f939,f1]) ).
fof(f1022,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))))
| ~ spl5_18
| ~ spl5_25 ),
inference(resolution,[],[f907,f984]) ).
fof(f2320,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl5_18 ),
inference(resolution,[],[f920,f15]) ).
fof(f2355,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) )
| ~ spl5_18 ),
inference(resolution,[],[f2320,f1]) ).
fof(f2370,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))
| ~ spl5_18 ),
inference(resolution,[],[f2355,f2]) ).
fof(f2406,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(X0) )
| ~ spl5_18 ),
inference(resolution,[],[f2370,f1]) ).
fof(f2423,plain,
( ! [X0] : is_a_theorem(implies(X0,implies(implies(X0,c),sF2)))
| ~ spl5_18 ),
inference(superposition,[],[f2370,f9]) ).
fof(f3451,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X0,X3)),implies(X4,implies(X0,X3))))
| ~ spl5_18 ),
inference(resolution,[],[f938,f2]) ).
fof(f3521,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),falsehood),implies(X3,implies(X0,X4))))
| ~ spl5_18
| ~ spl5_25 ),
inference(resolution,[],[f3451,f575]) ).
fof(f3526,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X0,X3)))
| is_a_theorem(implies(X4,implies(X0,X3))) )
| ~ spl5_18 ),
inference(resolution,[],[f3451,f1]) ).
fof(f3560,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(X1,X3)) )
| ~ spl5_18 ),
inference(resolution,[],[f3526,f2406]) ).
fof(f3607,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,implies(X3,X1))) )
| ~ spl5_18 ),
inference(resolution,[],[f3560,f1]) ).
fof(f3639,definition,
( spl5_73
<=> ! [X0,X1,X3] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(X3,X1))) ) ),
introduced(definition,[new_symbols(definition,[spl5_73])],[avatar_definition]) ).
fof(f3640,plain,
( ! [X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl5_73 ),
inference(avatar_component_clause,[],[f3639]) ).
fof(f3641,plain,
( spl5_19
| spl5_73
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f3607,f188,f3639,f191]) ).
fof(f3673,plain,
( ! [X0] :
( ~ is_a_theorem(implies(X0,sF3))
| is_a_theorem(implies(X0,sF4)) )
| ~ spl5_73 ),
inference(superposition,[],[f3640,f13]) ).
fof(f3674,plain,
( ! [X0] :
( ~ is_a_theorem(implies(X0,sF2))
| is_a_theorem(implies(X0,sF3)) )
| ~ spl5_73 ),
inference(superposition,[],[f3640,f11]) ).
fof(f4609,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),falsehood),implies(implies(X0,X2),implies(X3,X2))))
| ~ spl5_18
| ~ spl5_25 ),
inference(resolution,[],[f894,f2]) ).
fof(f4751,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))) )
| ~ spl5_18
| ~ spl5_25 ),
inference(resolution,[],[f1022,f1]) ).
fof(f4793,definition,
( spl5_75
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))) ),
introduced(definition,[new_symbols(definition,[spl5_75])],[avatar_definition]) ).
fof(f4794,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))
| ~ spl5_75 ),
inference(avatar_component_clause,[],[f4793]) ).
fof(f4795,plain,
( spl5_75
| spl5_19
| ~ spl5_18
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f4751,f488,f188,f191,f4793]) ).
fof(f4821,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl5_75 ),
inference(resolution,[],[f4794,f1]) ).
fof(f4839,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_75 ),
inference(resolution,[],[f4821,f3521]) ).
fof(f4858,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl5_73
| ~ spl5_75 ),
inference(resolution,[],[f4821,f3640]) ).
fof(f4884,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2))))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_75 ),
inference(resolution,[],[f4839,f3526]) ).
fof(f4909,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X2,implies(X0,X1))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_75 ),
inference(resolution,[],[f4839,f1]) ).
fof(f4937,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2))))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_75 ),
inference(resolution,[],[f4909,f4839]) ).
fof(f4947,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2)))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_75 ),
inference(resolution,[],[f4909,f483]) ).
fof(f4968,plain,
( ! [X0] :
( ~ is_a_theorem(implies(sF0,sF4))
| is_a_theorem(implies(X0,sF4)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_75 ),
inference(superposition,[],[f4909,f13]) ).
fof(f4976,definition,
( spl5_77
<=> is_a_theorem(implies(sF0,sF4)) ),
introduced(definition,[new_symbols(definition,[spl5_77])],[avatar_definition]) ).
fof(f4978,plain,
( ~ is_a_theorem(implies(sF0,sF4))
| spl5_77 ),
inference(avatar_component_clause,[],[f4976]) ).
fof(f4979,plain,
( spl5_10
| ~ spl5_77
| ~ spl5_18
| ~ spl5_25
| ~ spl5_75 ),
inference(avatar_split_clause,[],[f4968,f4793,f488,f188,f4976,f137]) ).
fof(f4987,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(implies(X1,X2),X2))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_75 ),
inference(resolution,[],[f4884,f1]) ).
fof(f5030,definition,
( spl5_79
<=> ! [X2,X1] : is_a_theorem(implies(X1,implies(implies(X1,X2),X2))) ),
introduced(definition,[new_symbols(definition,[spl5_79])],[avatar_definition]) ).
fof(f5031,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))
| ~ spl5_79 ),
inference(avatar_component_clause,[],[f5030]) ).
fof(f5032,plain,
( spl5_79
| spl5_19
| ~ spl5_18
| ~ spl5_25
| ~ spl5_75 ),
inference(avatar_split_clause,[],[f4987,f4793,f488,f188,f191,f5030]) ).
fof(f5048,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),X2),X0),implies(X3,X0)))
| ~ spl5_18
| ~ spl5_79 ),
inference(resolution,[],[f5031,f906]) ).
fof(f5050,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X0),X2),X2)))
| ~ spl5_18
| ~ spl5_79 ),
inference(resolution,[],[f5031,f2355]) ).
fof(f5314,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(X1,X1),X2),X2)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_75 ),
inference(resolution,[],[f4947,f1]) ).
fof(f5353,definition,
( spl5_81
<=> ! [X2,X1] : is_a_theorem(implies(implies(implies(X1,X1),X2),X2)) ),
introduced(definition,[new_symbols(definition,[spl5_81])],[avatar_definition]) ).
fof(f5354,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(implies(X1,X1),X2),X2))
| ~ spl5_81 ),
inference(avatar_component_clause,[],[f5353]) ).
fof(f5355,plain,
( spl5_81
| spl5_19
| ~ spl5_18
| ~ spl5_25
| ~ spl5_75 ),
inference(avatar_split_clause,[],[f5314,f4793,f488,f188,f191,f5353]) ).
fof(f5389,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) )
| ~ spl5_81 ),
inference(resolution,[],[f5354,f1]) ).
fof(f5450,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),X2))
| ~ spl5_18
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f5389,f5050]) ).
fof(f5490,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X0)),implies(X2,X0)))
| ~ spl5_18
| ~ spl5_75
| ~ spl5_79 ),
inference(resolution,[],[f5048,f4821]) ).
fof(f5618,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X0)))
| is_a_theorem(implies(X2,X0)) )
| ~ spl5_18
| ~ spl5_75
| ~ spl5_79 ),
inference(resolution,[],[f5490,f1]) ).
fof(f6069,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_75
| ~ spl5_81 ),
inference(resolution,[],[f4937,f5389]) ).
fof(f6120,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_75
| ~ spl5_81 ),
inference(resolution,[],[f6069,f1]) ).
fof(f6366,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X0,X2))),implies(X3,implies(X1,implies(X0,X2)))))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75 ),
inference(resolution,[],[f4858,f3521]) ).
fof(f7800,plain,
( is_a_theorem(implies(implies(a,falsehood),sF3))
| ~ spl5_25
| ~ spl5_73 ),
inference(resolution,[],[f629,f3674]) ).
fof(f7876,plain,
( is_a_theorem(implies(implies(a,falsehood),sF4))
| ~ spl5_25
| ~ spl5_73 ),
inference(resolution,[],[f7800,f3673]) ).
fof(f8547,plain,
( is_a_theorem(implies(b,implies(sF1,sF2)))
| ~ spl5_18 ),
inference(superposition,[],[f2423,f7]) ).
fof(f8548,plain,
( is_a_theorem(implies(b,sF3))
| ~ spl5_18 ),
inference(forward_demodulation,[],[f8547,f11]) ).
fof(f8549,plain,
( is_a_theorem(implies(b,sF4))
| ~ spl5_18
| ~ spl5_73 ),
inference(resolution,[],[f8548,f3673]) ).
fof(f9998,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) )
| ~ spl5_18
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f5450,f1]) ).
fof(f10777,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X0,X2))),implies(X1,implies(X0,X2))))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_81 ),
inference(resolution,[],[f6366,f6120]) ).
fof(f10873,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))
| is_a_theorem(implies(X1,implies(X0,X2))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_81 ),
inference(resolution,[],[f10777,f1]) ).
fof(f10914,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),falsehood),X1)))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_81 ),
inference(resolution,[],[f10873,f4609]) ).
fof(f10979,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X2),falsehood),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_81 ),
inference(resolution,[],[f10914,f1]) ).
fof(f11014,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X1,implies(X0,X2)),implies(X3,implies(X0,X2))))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_81 ),
inference(resolution,[],[f10979,f906]) ).
fof(f11155,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X3,implies(X1,implies(X0,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_81 ),
inference(resolution,[],[f11014,f3526]) ).
fof(f11218,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X3,implies(X0,X2))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_81 ),
inference(resolution,[],[f11014,f1]) ).
fof(f11675,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,X2))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f11155,f9998]) ).
fof(f11712,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2))))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f11675,f4884]) ).
fof(f11964,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X2,implies(X0,implies(implies(X1,X3),X3))))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f11712,f11218]) ).
fof(f14881,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),X2)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f11964,f9998]) ).
fof(f14924,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f14881,f11675]) ).
fof(f15096,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f14924,f1]) ).
fof(f15145,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f15096,f2370]) ).
fof(f15181,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f15096,f6069]) ).
fof(f15246,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,falsehood)),X4),X5)))
| is_a_theorem(implies(X0,implies(implies(X5,X1),implies(X3,X1)))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f15096,f2]) ).
fof(f17938,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
| is_a_theorem(implies(implies(X3,X1),implies(X0,X1))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f15145,f5618]) ).
fof(f18132,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3)))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f17938,f4609]) ).
fof(f18161,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X0,implies(X3,X2))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f17938,f14924]) ).
fof(f18308,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(X0,X3)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f18132,f1]) ).
fof(f18382,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ is_a_theorem(implies(X1,implies(X0,X3))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f18308,f14924]) ).
fof(f22182,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X3),X2))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,X2)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f18161,f1]) ).
fof(f22572,plain,
( ! [X0] :
( ~ is_a_theorem(implies(a,implies(X0,sF4)))
| is_a_theorem(implies(X0,sF4)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f22182,f7876]) ).
fof(f22587,plain,
( is_a_theorem(implies(implies(a,sF4),sF4))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f22572,f5031]) ).
fof(f22622,plain,
( ! [X0] :
( ~ is_a_theorem(implies(X0,implies(a,sF4)))
| is_a_theorem(implies(X0,sF4)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f22587,f15096]) ).
fof(f23638,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0))))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f15246,f10914]) ).
fof(f23658,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X2),implies(X3,X2))))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f15246,f939]) ).
fof(f24400,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X1,X2),X0),X1)))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f23638,f10873]) ).
fof(f24402,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0)))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f23638,f15181]) ).
fof(f24496,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X1,X2),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f24400,f1]) ).
fof(f24579,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X2),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f24496,f1]) ).
fof(f24642,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,X0)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f24579,f10979]) ).
fof(f24882,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X2,X1)))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,X2)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f24642,f14924]) ).
fof(f28570,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1)))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f23658,f10873]) ).
fof(f28572,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X2),X2)))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f23658,f15181]) ).
fof(f28685,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X2),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f28570,f1]) ).
fof(f28799,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(implies(implies(X0,X3),X0),implies(X1,X2))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f28685,f15181]) ).
fof(f28877,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f28572,f17938]) ).
fof(f28988,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2)))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f28877,f17938]) ).
fof(f29349,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X1),X1)))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f28988,f11675]) ).
fof(f45164,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X0,X3))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f28799,f18382]) ).
fof(f45349,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X2),X3),implies(X1,X3)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f45164,f17938]) ).
fof(f45725,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X3))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,X3)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f45349,f1]) ).
fof(f46207,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X0)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f45725,f14924]) ).
fof(f46560,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(implies(X1,X3),X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f46207,f24402]) ).
fof(f46717,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,X2))))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f46560,f29349]) ).
fof(f48008,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X0,X2)),implies(X1,X2))))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f46717,f18308]) ).
fof(f48111,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f46717,f1]) ).
fof(f49092,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f48008,f24882]) ).
fof(f49615,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,implies(implies(X0,X1),X2))))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f49092,f48111]) ).
fof(f49674,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(implies(X0,X1),X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f49615,f3640]) ).
fof(f49758,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f49674,f3640]) ).
fof(f50157,plain,
( ! [X0] :
( is_a_theorem(implies(implies(a,X0),sF4))
| ~ is_a_theorem(implies(X0,sF4)) )
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(resolution,[],[f49758,f22622]) ).
fof(f50319,plain,
( is_a_theorem(implies(sF0,sF4))
| ~ is_a_theorem(implies(b,sF4))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| ~ spl5_79
| ~ spl5_81 ),
inference(superposition,[],[f50157,f5]) ).
fof(f50321,plain,
( ~ is_a_theorem(implies(b,sF4))
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| spl5_77
| ~ spl5_79
| ~ spl5_81 ),
inference(forward_subsumption_resolution,[],[f50319,f4978]) ).
fof(f50334,plain,
( $false
| ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| spl5_77
| ~ spl5_79
| ~ spl5_81 ),
inference(forward_subsumption_resolution,[],[f50321,f8549]) ).
fof(f50335,plain,
( ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| spl5_77
| ~ spl5_79
| ~ spl5_81 ),
inference(avatar_contradiction_clause,[],[f50334]) ).
cnf(s14,plain,
~ spl5_10,
inference(sat_conversion,[],[f178]) ).
cnf(s15,plain,
( spl5_18
| spl5_19 ),
inference(sat_conversion,[],[f193]) ).
cnf(s32,plain,
~ spl5_19,
inference(sat_conversion,[],[f469]) ).
cnf(s33,plain,
( ~ spl5_18
| spl5_19
| spl5_25 ),
inference(sat_conversion,[],[f490]) ).
cnf(s111,plain,
( ~ spl5_18
| spl5_19
| spl5_73 ),
inference(sat_conversion,[],[f3641]) ).
cnf(s113,plain,
( ~ spl5_18
| spl5_19
| ~ spl5_25
| spl5_75 ),
inference(sat_conversion,[],[f4795]) ).
cnf(s115,plain,
( spl5_10
| ~ spl5_18
| ~ spl5_25
| ~ spl5_75
| ~ spl5_77 ),
inference(sat_conversion,[],[f4979]) ).
cnf(s117,plain,
( ~ spl5_18
| spl5_19
| ~ spl5_25
| ~ spl5_75
| spl5_79 ),
inference(sat_conversion,[],[f5032]) ).
cnf(s119,plain,
( ~ spl5_18
| spl5_19
| ~ spl5_25
| ~ spl5_75
| spl5_81 ),
inference(sat_conversion,[],[f5355]) ).
cnf(s661,plain,
( ~ spl5_18
| ~ spl5_25
| ~ spl5_73
| ~ spl5_75
| spl5_77
| ~ spl5_79
| ~ spl5_81 ),
inference(sat_conversion,[],[f50335]) ).
cnf(s670,plain,
spl5_18,
inference(rat,[],[s15,s32]) ).
cnf(s671,plain,
spl5_73,
inference(rat,[],[s111,s32,s670]) ).
cnf(s674,plain,
spl5_25,
inference(rat,[],[s33,s32,s670]) ).
cnf(s685,plain,
spl5_75,
inference(rat,[],[s113,s670,s32,s674]) ).
cnf(s700,plain,
spl5_81,
inference(rat,[],[s119,s674,s670,s32,s685]) ).
cnf(s701,plain,
spl5_79,
inference(rat,[],[s117,s674,s670,s32,s685]) ).
cnf(s704,plain,
spl5_77,
inference(rat,[],[s661,s700,s701,s674,s671,s670,s685]) ).
cnf(s752,plain,
spl5_10,
inference(rat,[],[s115,s674,s685,s670,s704]) ).
cnf(s777,plain,
$false,
inference(rat,[],[s14,s752]) ).
fof(f50337,plain,
$false,
inference(avatar_sat_refutation,[],[s777]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL032-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n017.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:13:35 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 19.91/3.73 % (2713568)Input is clausal, will run a generic CNF schedule.
% 19.91/3.73 % (2713649)dis-21_1_sil=8000:lcm=predicate:random_seed=1195929673: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)
% 19.91/3.73 % (2713649)Instruction limit reached!
% 19.91/3.73 % (2713649)------------------------------
% 19.91/3.73 % (2713649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.91/3.73 % (2713649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.73 % (2713649)CaDiCaL version: 2.1.3
% 19.91/3.73 % (2713649)Termination reason: Instruction limit
% 19.91/3.73 % (2713649)Termination phase: Saturation
% 19.91/3.73 % (2713649)Time elapsed: 0.060 s
% 19.91/3.73 % (2713649)Peak memory usage: 89 MB
% 19.91/3.73 % (2713649)Instructions burned: 119 (million)
% 19.91/3.73 % (2713641)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2516986403:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 19.91/3.73 % (2713640)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3087766869:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 19.91/3.73 % (2713639)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=3500631652:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 19.91/3.73 % (2713646)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3346206658:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 19.91/3.73 % (2713643)lrs+10_1_sil=8000:sp=occurrence:random_seed=4004801275:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 19.91/3.73 % (2713644)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2465271564:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 19.91/3.73 % (2713644)Refutation not found, incomplete strategy
% 19.91/3.73 % (2713644)------------------------------
% 19.91/3.73 % (2713644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.91/3.73 % (2713644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.73 % (2713644)CaDiCaL version: 2.1.3
% 19.91/3.73 % (2713644)Termination reason: Refutation not found, incomplete strategy
% 19.91/3.73 % (2713644)Time elapsed: 0.001 s
% 19.91/3.73 % (2713644)Peak memory usage: 87 MB
% 19.91/3.73 % (2713643)Instruction limit reached!
% 19.91/3.73 % (2713643)------------------------------
% 19.91/3.73 % (2713643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.91/3.73 % (2713643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.73 % (2713643)CaDiCaL version: 2.1.3
% 19.91/3.73 % (2713643)Termination reason: Instruction limit
% 19.91/3.73 % (2713643)Termination phase: Saturation
% 19.91/3.73 % (2713643)Time elapsed: 0.110 s
% 19.91/3.73 % (2713643)Peak memory usage: 89 MB
% 19.91/3.73 % (2713643)Instructions burned: 108 (million)
% 19.91/3.73 % (2713662)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=906891907:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 19.91/3.73 % (2713662)Refutation not found, incomplete strategy
% 19.91/3.73 % (2713662)------------------------------
% 19.91/3.73 % (2713662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.91/3.73 % (2713662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.73 % (2713662)CaDiCaL version: 2.1.3
% 19.91/3.73 % (2713662)Termination reason: Refutation not found, incomplete strategy
% 19.91/3.73 % (2713662)Time elapsed: 0.001 s
% 19.91/3.73 % (2713662)Peak memory usage: 87 MB
% 19.91/3.73 % (2713646)Instruction limit reached!
% 19.91/3.73 % (2713646)------------------------------
% 19.91/3.73 % (2713646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.91/3.73 % (2713646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.73 % (2713646)CaDiCaL version: 2.1.3
% 19.91/3.73 % (2713646)Termination reason: Instruction limit
% 19.91/3.73 % (2713646)Termination phase: Saturation
% 19.91/3.73 % (2713646)Time elapsed: 0.188 s
% 19.91/3.73 % (2713646)Peak memory usage: 90 MB
% 19.91/3.73 % (2713646)Instructions burned: 180 (million)
% 19.91/3.73 % (2713673)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=515061881:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 32.27/5.48 % (2713644)------------------------------
% 32.27/5.48 % (2713644)------------------------------
% 32.27/5.48 % (2713662)------------------------------
% 32.27/5.48 % (2713662)------------------------------
% 32.27/5.48 % (2713676)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=962979642:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 32.27/5.48 % (2713676)Refutation not found, incomplete strategy
% 32.27/5.48 % (2713676)------------------------------
% 32.27/5.48 % (2713676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.27/5.48 % (2713676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.27/5.48 % (2713676)CaDiCaL version: 2.1.3
% 32.27/5.48 % (2713676)Termination reason: Refutation not found, incomplete strategy
% 32.27/5.48 % (2713676)Time elapsed: 0.001 s
% 32.27/5.48 % (2713676)Peak memory usage: 87 MB
% 32.27/5.48 % (2713673)Instruction limit reached!
% 32.27/5.48 % (2713673)------------------------------
% 32.27/5.48 % (2713673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.27/5.48 % (2713673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.27/5.48 % (2713673)CaDiCaL version: 2.1.3
% 32.27/5.48 % (2713673)Termination reason: Instruction limit
% 32.27/5.48 % (2713673)Termination phase: Saturation
% 32.27/5.48 % (2713673)Time elapsed: 0.183 s
% 32.27/5.48 % (2713673)Peak memory usage: 90 MB
% 32.27/5.48 % (2713673)Instructions burned: 190 (million)
% 32.27/5.48 % (2713680)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=190672198:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 32.27/5.48 % (2713679)lrs+10_64_to=lpo:sil=8000:random_seed=3010318924:i=126:bd=preordered_2992 on theBenchmark for (2992ds/126Mi)
% 32.27/5.48 % (2713680)Instruction limit reached!
% 32.27/5.48 % (2713680)------------------------------
% 32.27/5.48 % (2713680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.27/5.48 % (2713680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.27/5.48 % (2713680)CaDiCaL version: 2.1.3
% 32.27/5.48 % (2713680)Termination reason: Instruction limit
% 32.27/5.48 % (2713680)Termination phase: Saturation
% 32.27/5.48 % (2713680)Time elapsed: 0.112 s
% 32.27/5.48 % (2713680)Peak memory usage: 90 MB
% 32.27/5.48 % (2713680)Instructions burned: 195 (million)
% 32.27/5.48 % (2713676)------------------------------
% 32.27/5.48 % (2713676)------------------------------
% 32.27/5.48 % (2713679)Instruction limit reached!
% 32.27/5.48 % (2713679)------------------------------
% 32.27/5.48 % (2713679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.27/5.48 % (2713679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.27/5.48 % (2713679)CaDiCaL version: 2.1.3
% 32.27/5.48 % (2713679)Termination reason: Instruction limit
% 32.27/5.48 % (2713679)Termination phase: Saturation
% 32.27/5.48 % (2713679)Time elapsed: 0.127 s
% 32.27/5.48 % (2713679)Peak memory usage: 89 MB
% 32.27/5.48 % (2713679)Instructions burned: 127 (million)
% 32.27/5.48 % (2713686)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=84116289:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 32.27/5.48 % (2713691)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1908546858:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 32.27/5.48 % (2713694)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4195430632:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 32.27/5.48 % (2713686)Instruction limit reached!
% 32.27/5.48 % (2713686)------------------------------
% 32.27/5.48 % (2713686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.27/5.48 % (2713686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.27/5.48 % (2713686)CaDiCaL version: 2.1.3
% 32.27/5.48 % (2713686)Termination reason: Instruction limit
% 32.27/5.48 % (2713686)Termination phase: Saturation
% 32.27/5.48 % (2713686)Time elapsed: 0.172 s
% 32.27/5.48 % (2713686)Peak memory usage: 91 MB
% 32.27/5.48 % (2713686)Instructions burned: 157 (million)
% 32.27/5.48 % (2713694)Refutation not found, incomplete strategy
% 32.27/5.48 % (2713694)------------------------------
% 32.27/5.48 % (2713694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.27/5.48 % (2713694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.18/8.89 % (2713694)CaDiCaL version: 2.1.3
% 56.18/8.89 % (2713694)Termination reason: Refutation not found, incomplete strategy
% 56.18/8.89 % (2713694)Time elapsed: 0.001 s
% 56.18/8.89 % (2713694)Peak memory usage: 87 MB
% 56.18/8.89 % (2713693)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=3057876970:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 56.18/8.89 % (2713693)Instruction limit reached!
% 56.18/8.89 % (2713693)------------------------------
% 56.18/8.89 % (2713693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.18/8.89 % (2713693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.18/8.89 % (2713693)CaDiCaL version: 2.1.3
% 56.18/8.89 % (2713693)Termination reason: Instruction limit
% 56.18/8.89 % (2713693)Termination phase: Saturation
% 56.18/8.89 % (2713693)Time elapsed: 0.103 s
% 56.18/8.89 % (2713693)Peak memory usage: 88 MB
% 56.18/8.89 % (2713693)Instructions burned: 107 (million)
% 56.18/8.89 % (2713699)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2527780168:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 56.18/8.89 % (2713694)------------------------------
% 56.18/8.89 % (2713694)------------------------------
% 56.18/8.89 % (2713704)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3202556562:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 56.18/8.89 % (2713699)Instruction limit reached!
% 56.18/8.89 % (2713699)------------------------------
% 56.18/8.89 % (2713699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.18/8.89 % (2713699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.18/8.89 % (2713699)CaDiCaL version: 2.1.3
% 56.18/8.89 % (2713699)Termination reason: Instruction limit
% 56.18/8.89 % (2713699)Termination phase: Saturation
% 56.18/8.89 % (2713699)Time elapsed: 0.232 s
% 56.18/8.89 % (2713699)Peak memory usage: 88 MB
% 56.18/8.89 % (2713699)Instructions burned: 242 (million)
% 56.18/8.89 % (2713707)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3021163020:i=134:sd=2:doe=on:ss=axioms:sgt=14_2982 on theBenchmark for (2982ds/134Mi)
% 56.18/8.89 % (2713707)Instruction limit reached!
% 56.18/8.89 % (2713707)------------------------------
% 56.18/8.89 % (2713707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.18/8.89 % (2713707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.18/8.89 % (2713707)CaDiCaL version: 2.1.3
% 56.18/8.89 % (2713707)Termination reason: Instruction limit
% 56.18/8.89 % (2713707)Termination phase: Saturation
% 56.18/8.89 % (2713707)Time elapsed: 0.141 s
% 56.18/8.89 % (2713707)Peak memory usage: 90 MB
% 56.18/8.89 % (2713707)Instructions burned: 135 (million)
% 56.18/8.89 % (2713711)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1294251033:i=499:bd=all_2981 on theBenchmark for (2981ds/499Mi)
% 56.18/8.89 % (2713713)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2834533458:i=191:fgj=on:bd=all_2978 on theBenchmark for (2978ds/191Mi)
% 56.18/8.89 % (2713713)Instruction limit reached!
% 56.18/8.89 % (2713713)------------------------------
% 56.18/8.89 % (2713713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.18/8.89 % (2713713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.18/8.89 % (2713713)CaDiCaL version: 2.1.3
% 56.18/8.89 % (2713713)Termination reason: Instruction limit
% 56.18/8.89 % (2713713)Termination phase: Saturation
% 56.18/8.89 % (2713713)Time elapsed: 0.197 s
% 56.18/8.89 % (2713713)Peak memory usage: 90 MB
% 56.18/8.89 % (2713713)Instructions burned: 191 (million)
% 56.18/8.89 % (2713711)Instruction limit reached!
% 56.18/8.89 % (2713711)------------------------------
% 56.18/8.89 % (2713711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.18/8.89 % (2713711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.18/8.89 % (2713711)CaDiCaL version: 2.1.3
% 56.18/8.89 % (2713711)Termination reason: Instruction limit
% 56.18/8.89 % (2713711)Termination phase: Saturation
% 56.18/8.89 % (2713711)Time elapsed: 0.471 s
% 56.18/8.89 % (2713711)Peak memory usage: 91 MB
% 56.18/8.89 % (2713711)Instructions burned: 499 (million)
% 56.18/8.89 % (2713719)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4151629636:cond=on:i=156:bs=on:gtg=exists_all:er=known_2973 on theBenchmark for (2973ds/156Mi)
% 33.38/9.17 % (2713718)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1697583181:i=264:kws=precedence:fsr=off_2973 on theBenchmark for (2973ds/264Mi)
% 33.38/9.17 % (2713719)Instruction limit reached!
% 33.38/9.17 % (2713719)------------------------------
% 33.38/9.17 % (2713719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.38/9.17 % (2713719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/9.17 % (2713719)CaDiCaL version: 2.1.3
% 33.38/9.17 % (2713719)Termination reason: Instruction limit
% 33.38/9.17 % (2713719)Termination phase: Saturation
% 33.38/9.17 % (2713719)Time elapsed: 0.169 s
% 33.38/9.17 % (2713719)Peak memory usage: 89 MB
% 33.38/9.17 % (2713719)Instructions burned: 156 (million)
% 33.38/9.17 % (2713718)Instruction limit reached!
% 33.38/9.17 % (2713718)------------------------------
% 33.38/9.17 % (2713718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.38/9.17 % (2713718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/9.17 % (2713718)CaDiCaL version: 2.1.3
% 33.38/9.17 % (2713718)Termination reason: Instruction limit
% 33.38/9.17 % (2713718)Termination phase: Saturation
% 33.38/9.17 % (2713718)Time elapsed: 0.281 s
% 33.38/9.17 % (2713718)Peak memory usage: 91 MB
% 33.38/9.17 % (2713718)Instructions burned: 264 (million)
% 33.38/9.17 % (2713722)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=675686557:i=3256:kws=precedence:bd=preordered:av=off_2969 on theBenchmark for (2969ds/3256Mi)
% 33.38/9.17 % (2713691)Instruction limit reached!
% 33.38/9.17 % (2713691)------------------------------
% 33.38/9.17 % (2713691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.38/9.17 % (2713691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/9.17 % (2713691)CaDiCaL version: 2.1.3
% 33.38/9.17 % (2713691)Termination reason: Instruction limit
% 33.38/9.17 % (2713691)Termination phase: Saturation
% 33.38/9.17 % (2713691)Time elapsed: 2.055 s
% 33.38/9.17 % (2713691)Peak memory usage: 151 MB
% 33.38/9.17 % (2713691)Instructions burned: 3396 (million)
% 33.38/9.17 % (2713723)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=218941687:i=537:av=off:ss=included_2968 on theBenchmark for (2968ds/537Mi)
% 33.38/9.17 % (2713725)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3156339871:i=180:bd=preordered:av=off_2966 on theBenchmark for (2966ds/180Mi)
% 33.38/9.17 % (2713725)Instruction limit reached!
% 33.38/9.17 % (2713725)------------------------------
% 33.38/9.17 % (2713725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.38/9.17 % (2713725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/9.17 % (2713725)CaDiCaL version: 2.1.3
% 33.38/9.17 % (2713725)Termination reason: Instruction limit
% 33.38/9.17 % (2713725)Termination phase: Saturation
% 33.38/9.17 % (2713725)Time elapsed: 0.092 s
% 33.38/9.17 % (2713725)Peak memory usage: 88 MB
% 33.38/9.17 % (2713725)Instructions burned: 181 (million)
% 33.38/9.17 % (2713728)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=481460450:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2963 on theBenchmark for (2963ds/10307Mi)
% 33.38/9.17 % (2713723)Instruction limit reached!
% 33.38/9.17 % (2713723)------------------------------
% 33.38/9.17 % (2713723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.38/9.17 % (2713723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/9.17 % (2713723)CaDiCaL version: 2.1.3
% 33.38/9.17 % (2713723)Termination reason: Instruction limit
% 33.38/9.17 % (2713723)Termination phase: Saturation
% 33.38/9.17 % (2713723)Time elapsed: 0.493 s
% 33.38/9.17 % (2713723)Peak memory usage: 91 MB
% 33.38/9.17 % (2713723)Instructions burned: 537 (million)
% 33.38/9.17 % (2713732)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=3921302115:i=412:gtgl=4:gtg=exists_all_2960 on theBenchmark for (2960ds/412Mi)
% 33.38/9.17 % (2713732)Instruction limit reached!
% 33.38/9.17 % (2713732)------------------------------
% 33.38/9.17 % (2713732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.38/9.17 % (2713732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/9.17 % (2713732)CaDiCaL version: 2.1.3
% 33.38/9.17 % (2713732)Termination reason: Instruction limit
% 33.38/9.17 % (2713732)Termination phase: Saturation
% 33.38/9.17 % (2713732)Time elapsed: 0.426 s
% 33.38/9.17 % (2713732)Peak memory usage: 93 MB
% 33.38/9.17 % (2713732)Instructions burned: 412 (million)
% 33.38/9.17 % (2713734)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=1892069208:s2pl=no:i=8478:s2at=4:nm=6_2953 on theBenchmark for (2953ds/8478Mi)
% 33.38/9.17 % (2713722)Instruction limit reached!
% 33.38/9.17 % (2713722)------------------------------
% 33.38/9.17 % (2713722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.38/9.17 % (2713722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/9.17 % (2713722)CaDiCaL version: 2.1.3
% 33.38/9.17 % (2713722)Termination reason: Instruction limit
% 33.38/9.17 % (2713722)Termination phase: Saturation
% 33.38/9.17 % (2713722)Time elapsed: 2.987 s
% 33.38/9.17 % (2713722)Peak memory usage: 136 MB
% 33.38/9.17 % (2713722)Instructions burned: 3256 (million)
% 33.38/9.17 % (2713738)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=1299192302:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2937 on theBenchmark for (2937ds/303Mi)
% 33.38/9.17 % (2713738)Instruction limit reached!
% 33.38/9.17 % (2713738)------------------------------
% 33.38/9.17 % (2713738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.38/9.17 % (2713738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/9.17 % (2713738)CaDiCaL version: 2.1.3
% 33.38/9.17 % (2713738)Termination reason: Instruction limit
% 33.38/9.17 % (2713738)Termination phase: Saturation
% 33.38/9.17 % (2713738)Time elapsed: 0.251 s
% 33.38/9.17 % (2713738)Peak memory usage: 89 MB
% 33.38/9.17 % (2713738)Instructions burned: 304 (million)
% 33.38/9.17 % (2713704)Instruction limit reached!
% 33.38/9.17 % (2713704)------------------------------
% 33.38/9.17 % (2713704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.38/9.17 % (2713704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/9.17 % (2713704)CaDiCaL version: 2.1.3
% 33.38/9.17 % (2713704)Termination reason: Instruction limit
% 33.38/9.17 % (2713704)Termination phase: Saturation
% 33.38/9.17 % (2713704)Time elapsed: 5.286 s
% 33.38/9.17 % (2713704)Peak memory usage: 159 MB
% 33.38/9.17 % (2713704)Instructions burned: 5209 (million)
% 33.38/9.17 % (2713740)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=4205469819:st=4:i=720:sd=3:fsr=off:ss=axioms_2931 on theBenchmark for (2931ds/720Mi)
% 33.38/9.17 % (2713741)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=2407398795:i=598:bs=on:bd=preordered:av=off:ss=axioms_2929 on theBenchmark for (2929ds/598Mi)
% 33.38/9.17 % (2713741)Refutation not found, incomplete strategy
% 33.38/9.17 % (2713741)------------------------------
% 33.38/9.17 % (2713741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.38/9.17 % (2713741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/9.17 % (2713741)CaDiCaL version: 2.1.3
% 33.38/9.17 % (2713741)Termination reason: Refutation not found, incomplete strategy
% 33.38/9.17 % (2713741)Time elapsed: 0.003 s
% 33.38/9.17 % (2713741)Peak memory usage: 87 MB
% 33.38/9.17 % (2713741)Instructions burned: 1 (million)
% 33.38/9.17 % (2713741)------------------------------
% 33.38/9.17 % (2713741)------------------------------
% 33.38/9.17 % (2713740)Instruction limit reached!
% 33.38/9.17 % (2713740)------------------------------
% 33.38/9.17 % (2713740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.38/9.17 % (2713740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.38/9.17 % (2713740)CaDiCaL version: 2.1.3
% 33.38/9.17 % (2713740)Termination reason: Instruction limit
% 33.38/9.17 % (2713740)Termination phase: Saturation
% 33.38/9.17 % (2713740)Time elapsed: 0.680 s
% 33.38/9.17 % (2713740)Peak memory usage: 103 MB
% 33.38/9.17 % (2713740)Instructions burned: 721 (million)
% 33.38/9.17 % (2713639)First to succeed.
% 33.38/9.17 % (2713639)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2713568"
% 33.38/9.17 % (2713746)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=3760462018:i=2989:sd=3:ss=axioms:sgt=60_2922 on theBenchmark for (2922ds/2989Mi)
% 33.38/9.17 % (2713747)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=2404303645:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2922 on theBenchmark for (2922ds/1997Mi)
% 33.38/9.17 % (2713639)Refutation found. Thanks to Tanya!
% 33.38/9.17 % SZS status Unsatisfiable for theBenchmark
% 33.38/9.17 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/9.41 % (2713639)------------------------------
% 0.16/9.41 % (2713639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/9.41 % (2713639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/9.41 % (2713639)CaDiCaL version: 2.1.3
% 0.16/9.41 % (2713639)Termination reason: Refutation
% 0.16/9.41 % (2713639)Time elapsed: 7.545 s
% 0.16/9.41 % (2713639)Peak memory usage: 188 MB
% 0.16/9.41 % (2713639)Instructions burned: 7322 (million)
% 0.16/9.41 % (2713639)------------------------------
% 0.16/9.41 % (2713639)------------------------------
% 0.16/9.41 % (2713568)Success in time 8.299 s
% 0.16/9.41 % Vampire exiting
%------------------------------------------------------------------------------