%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL377+2 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:52:11 AM UTC 2026
% Result : Theorem 24.33s 5.06s
% Output : Refutation 30.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 8
% Syntax : Number of formulae : 104 ( 19 unt; 5 def)
% Number of atoms : 277 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 346 ( 173 ~; 166 |; 1 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 322 ( 0 sgn 322 !; 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,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f2) ).
fof(f3,conjecture,
is_a_theorem(implies(implies(x,implies(y,implies(z,u))),implies(implies(z,x),implies(y,implies(z,u))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(implies(implies(x,implies(y,implies(z,u))),implies(implies(z,x),implies(y,implies(z,u))))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ is_a_theorem(implies(implies(x,implies(y,implies(z,u))),implies(implies(z,x),implies(y,implies(z,u))))),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
~ is_a_theorem(implies(implies(x,implies(y,implies(z,u))),implies(implies(z,x),implies(y,implies(z,u))))),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14)),
inference(cnf_transformation,[],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X6)),X6),implies(implies(implies(implies(implies(implies(implies(X7,X8),implies(implies(X8,X9),implies(X7,X9))),implies(implies(implies(n(X10),X10),X10),X11)),X11),implies(implies(X12,implies(n(X12),X13)),X14)),X14),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f9,f10]) ).
fof(f12,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f11,f9]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5)),
inference(resolution,[],[f12,f11]) ).
fof(f14,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f12,f10]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7),X8))
| is_a_theorem(X8) ),
inference(resolution,[],[f14,f11]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(implies(X0,implies(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X8)),X8))),
inference(resolution,[],[f16,f12]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7)),
inference(resolution,[],[f20,f16]) ).
fof(f25,definition,
( spl0_1
<=> ! [X8] : ~ is_a_theorem(X8) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f26,plain,
( ! [X8] : ~ is_a_theorem(X8)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f28,definition,
( spl0_2
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] : is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f29,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f31,plain,
spl0_2,
inference(avatar_split_clause,[],[f22,f28]) ).
fof(f33,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X0)))
| is_a_theorem(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f29,f10]) ).
fof(f35,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4))
| ~ spl0_2 ),
inference(resolution,[],[f33,f12]) ).
fof(f38,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X0)))
| is_a_theorem(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f35,f10]) ).
fof(f39,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f38,f12]) ).
fof(f44,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f39,f10]) ).
fof(f48,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(n(X0),X0),X0),implies(X1,X2)))
| is_a_theorem(implies(implies(X2,X3),implies(X1,X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f44,f38]) ).
fof(f50,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f44,f10]) ).
fof(f52,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,implies(n(X0),X0))) )
| ~ spl0_2 ),
inference(resolution,[],[f48,f44]) ).
fof(f53,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),implies(X2,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f48,f12]) ).
fof(f62,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X1),X1)))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f52,f10]) ).
fof(f63,plain,
( ! [X0] :
( ~ is_a_theorem(implies(X0,implies(implies(z,x),implies(y,implies(z,u)))))
| ~ is_a_theorem(implies(implies(x,implies(y,implies(z,u))),X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f50,f8]) ).
fof(f72,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(n(X2),X2),X2),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f53,f10]) ).
fof(f115,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(n(X2),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f72,f44]) ).
fof(f182,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f13,f11]) ).
fof(f192,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f182,f48]) ).
fof(f209,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f192,f10]) ).
fof(f222,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0))))
| ~ spl0_2 ),
inference(resolution,[],[f209,f12]) ).
fof(f233,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))))
| ~ spl0_2 ),
inference(resolution,[],[f222,f38]) ).
fof(f243,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(n(X0),X1),X2),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f233,f33]) ).
fof(f245,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)))
| ~ spl0_2 ),
inference(resolution,[],[f233,f48]) ).
fof(f265,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f245,f10]) ).
fof(f277,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X2,implies(X0,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f265,f53]) ).
fof(f285,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f265,f44]) ).
fof(f287,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X1,X3),implies(X0,X3)))))
| ~ spl0_2 ),
inference(resolution,[],[f265,f12]) ).
fof(f303,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(n(X0),X1),implies(X2,implies(implies(X1,X0),X0))))
| ~ spl0_2 ),
inference(resolution,[],[f277,f265]) ).
fof(f323,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X3,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f285,f10]) ).
fof(f341,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f323,f10]) ).
fof(f374,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X3,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f287,f10]) ).
fof(f397,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X1),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f374,f38]) ).
fof(f414,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(n(X1),X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f397,f44]) ).
fof(f557,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(X2,X1)))
| ~ is_a_theorem(X3) )
| ~ spl0_2 ),
inference(resolution,[],[f341,f182]) ).
fof(f563,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
| ~ is_a_theorem(X4) )
| ~ spl0_2 ),
inference(resolution,[],[f341,f233]) ).
fof(f571,definition,
( spl0_4
<=> ! [X0,X3,X2,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3)))) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f572,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f573,plain,
( spl0_1
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f563,f28,f571,f25]) ).
fof(f575,definition,
( spl0_5
<=> ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(X2,X1))) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f576,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f577,plain,
( spl0_1
| spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f557,f28,f575,f25]) ).
fof(f595,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3))
| is_a_theorem(X3) )
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f576,f38]) ).
fof(f602,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(implies(X2,X0),implies(X4,X3))) )
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f576,f265]) ).
fof(f674,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f595,f576]) ).
fof(f1082,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,X3)))))
| ~ is_a_theorem(implies(X1,implies(X4,X2))) )
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f674,f44]) ).
fof(f1119,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X0,implies(n(X0),X1)),implies(X2,X3)))
| is_a_theorem(implies(implies(X3,X4),implies(X2,X4))) )
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f1082,f33]) ).
fof(f1227,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2))))
| ~ spl0_2 ),
inference(resolution,[],[f303,f209]) ).
fof(f1235,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2))))
| ~ spl0_2 ),
inference(resolution,[],[f1227,f115]) ).
fof(f1236,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),X2),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f1227,f62]) ).
fof(f1256,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f1236,f245]) ).
fof(f1279,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(n(X1),implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f1236,f414]) ).
fof(f1284,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X3),X3),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f1236,f576]) ).
fof(f1438,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(n(X0),implies(X1,implies(X0,X2))))
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f1284,f243]) ).
fof(f1808,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f1235,f48]) ).
fof(f1809,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f1235,f1119]) ).
fof(f1854,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1808,f26]) ).
fof(f1855,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f1854]) ).
fof(f1930,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f1809,f265]) ).
fof(f2096,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(n(X0),X2)))
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f1119,f1930]) ).
fof(f2156,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1)))
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f2096,f115]) ).
fof(f3147,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(implies(X2,X1)),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f1279,f572]) ).
fof(f5133,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1)))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f3147,f1438]) ).
fof(f5178,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X0,X2))),implies(X3,implies(X1,implies(X0,X2)))))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f5133,f602]) ).
fof(f5415,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X3) )
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f2156,f341]) ).
fof(f5457,definition,
( spl0_32
<=> ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f5458,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f5457]) ).
fof(f5459,plain,
( spl0_1
| spl0_32
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f5415,f575,f28,f5457,f25]) ).
fof(f5497,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),X3),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl0_2
| ~ spl0_32 ),
inference(resolution,[],[f5458,f285]) ).
fof(f5577,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,implies(X0,X2))) )
| ~ spl0_2
| ~ spl0_32 ),
inference(resolution,[],[f5497,f44]) ).
fof(f5718,plain,
( ! [X0] :
( ~ is_a_theorem(implies(implies(x,implies(y,implies(z,u))),implies(implies(z,x),X0)))
| ~ is_a_theorem(implies(X0,implies(implies(z,x),implies(y,implies(z,u))))) )
| ~ spl0_2
| ~ spl0_32 ),
inference(resolution,[],[f5577,f63]) ).
fof(f6358,plain,
( ~ is_a_theorem(implies(implies(z,implies(y,implies(z,u))),implies(implies(z,x),implies(y,implies(z,u)))))
| ~ spl0_2
| ~ spl0_32 ),
inference(resolution,[],[f5718,f1256]) ).
fof(f6406,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f6358,f5178]) ).
fof(f6407,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f6406]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f31]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f573]) ).
cnf(s6,plain,
( spl0_1
| ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f577]) ).
cnf(s40,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1855]) ).
cnf(s130,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_32 ),
inference(sat_conversion,[],[f5459]) ).
cnf(s134,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_32 ),
inference(sat_conversion,[],[f6407]) ).
cnf(s156,plain,
~ spl0_1,
inference(rat,[],[s40,s2]) ).
cnf(s160,plain,
spl0_5,
inference(rat,[],[s6,s2,s156]) ).
cnf(s161,plain,
spl0_4,
inference(rat,[],[s5,s2,s156]) ).
cnf(s163,plain,
spl0_32,
inference(rat,[],[s130,s156,s2,s160]) ).
cnf(s166,plain,
$false,
inference(rat,[],[s134,s160,s2,s163,s161]) ).
fof(f6408,plain,
$false,
inference(avatar_sat_refutation,[],[s166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL377+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 15:37:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 17.22/3.32 % (4153470)Detected formulas, will run a generic FOF schedule.
% 17.22/3.32 % (4153497)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=2440662514:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.22/3.32 % (4153502)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=136469634:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.22/3.32 % (4153502)Refutation not found, incomplete strategy
% 17.22/3.32 % (4153502)------------------------------
% 17.22/3.32 % (4153502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.22/3.32 % (4153502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.22/3.32 % (4153502)CaDiCaL version: 2.1.3
% 17.22/3.32 % (4153502)Termination reason: Refutation not found, incomplete strategy
% 17.22/3.32 % (4153502)Time elapsed: 0.001 s
% 17.22/3.32 % (4153502)Peak memory usage: 87 MB
% 17.22/3.32 % (4153504)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=118078724:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.22/3.32 % (4153503)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1479118194:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.22/3.32 % (4153501)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3787720134:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.22/3.32 % (4153498)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=586699028:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.22/3.32 % (4153503)Refutation not found, incomplete strategy
% 17.22/3.32 % (4153503)------------------------------
% 17.22/3.32 % (4153503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.22/3.32 % (4153503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.22/3.32 % (4153503)CaDiCaL version: 2.1.3
% 17.22/3.32 % (4153503)Termination reason: Refutation not found, incomplete strategy
% 17.22/3.32 % (4153503)Time elapsed: 0.001 s
% 17.22/3.32 % (4153503)Peak memory usage: 87 MB
% 17.22/3.32 % (4153505)dis-21_1_sil=8000:lcm=predicate:random_seed=1499307186:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 17.22/3.32 % (4153504)Instruction limit reached!
% 17.22/3.32 % (4153504)------------------------------
% 17.22/3.32 % (4153504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.22/3.32 % (4153504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.22/3.32 % (4153504)CaDiCaL version: 2.1.3
% 17.22/3.32 % (4153504)Termination reason: Instruction limit
% 17.22/3.32 % (4153504)Termination phase: Saturation
% 17.22/3.32 % (4153504)Time elapsed: 0.117 s
% 17.22/3.32 % (4153504)Peak memory usage: 89 MB
% 17.22/3.32 % (4153504)Instructions burned: 140 (million)
% 17.22/3.32 % (4153505)Instruction limit reached!
% 17.22/3.32 % (4153505)------------------------------
% 17.22/3.32 % (4153505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.22/3.32 % (4153505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.22/3.32 % (4153505)CaDiCaL version: 2.1.3
% 17.22/3.32 % (4153505)Termination reason: Instruction limit
% 17.22/3.32 % (4153505)Termination phase: Saturation
% 17.22/3.32 % (4153505)Time elapsed: 0.129 s
% 17.22/3.32 % (4153505)Peak memory usage: 89 MB
% 17.22/3.32 % (4153505)Instructions burned: 130 (million)
% 17.22/3.32 % (4153516)lrs+10_1_sil=8000:sp=occurrence:random_seed=1158003302:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 17.22/3.32 % (4153502)------------------------------
% 17.22/3.32 % (4153502)------------------------------
% 17.22/3.32 % (4153518)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4241514975:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 17.22/3.32 % (4153503)------------------------------
% 17.22/3.32 % (4153503)------------------------------
% 17.22/3.32 % (4153527)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3142616555:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 17.22/3.32 % (4153518)Instruction limit reached!
% 17.22/3.32 % (4153518)------------------------------
% 17.22/3.32 % (4153518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.31/4.58 % (4153518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.31/4.58 % (4153518)CaDiCaL version: 2.1.3
% 25.31/4.58 % (4153518)Termination reason: Instruction limit
% 25.31/4.58 % (4153518)Termination phase: Saturation
% 25.31/4.58 % (4153518)Time elapsed: 0.144 s
% 25.31/4.58 % (4153518)Peak memory usage: 88 MB
% 25.31/4.58 % (4153518)Instructions burned: 157 (million)
% 25.31/4.58 % (4153527)Instruction limit reached!
% 25.31/4.58 % (4153527)------------------------------
% 25.31/4.58 % (4153527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.31/4.58 % (4153527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.31/4.58 % (4153527)CaDiCaL version: 2.1.3
% 25.31/4.58 % (4153527)Termination reason: Instruction limit
% 25.31/4.58 % (4153527)Termination phase: Saturation
% 25.31/4.58 % (4153527)Time elapsed: 0.097 s
% 25.31/4.58 % (4153527)Peak memory usage: 88 MB
% 25.31/4.58 % (4153527)Instructions burned: 250 (million)
% 25.31/4.58 % (4153526)lrs+1011_1_sil=32000:sp=occurrence:random_seed=696312661:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 25.31/4.58 % (4153516)Instruction limit reached!
% 25.31/4.58 % (4153516)------------------------------
% 25.31/4.58 % (4153516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.31/4.58 % (4153516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.31/4.58 % (4153516)CaDiCaL version: 2.1.3
% 25.31/4.58 % (4153516)Termination reason: Instruction limit
% 25.31/4.58 % (4153516)Termination phase: Saturation
% 25.31/4.58 % (4153516)Time elapsed: 0.293 s
% 25.31/4.58 % (4153516)Peak memory usage: 90 MB
% 25.31/4.58 % (4153516)Instructions burned: 286 (million)
% 25.31/4.58 % (4153533)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=603044988:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 25.31/4.58 % (4153531)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3287894792:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 25.31/4.58 % (4153531)Refutation not found, incomplete strategy
% 25.31/4.58 % (4153531)------------------------------
% 25.31/4.58 % (4153531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.31/4.58 % (4153531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.31/4.58 % (4153531)CaDiCaL version: 2.1.3
% 25.31/4.58 % (4153531)Termination reason: Refutation not found, incomplete strategy
% 25.31/4.58 % (4153531)Time elapsed: 0.001 s
% 25.31/4.58 % (4153531)Peak memory usage: 87 MB
% 25.31/4.58 % (4153536)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1600346332:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 25.31/4.58 % (4153526)Instruction limit reached!
% 25.31/4.58 % (4153526)------------------------------
% 25.31/4.58 % (4153526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.31/4.58 % (4153526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.31/4.58 % (4153526)CaDiCaL version: 2.1.3
% 25.31/4.58 % (4153526)Termination reason: Instruction limit
% 25.31/4.58 % (4153526)Termination phase: Saturation
% 25.31/4.58 % (4153526)Time elapsed: 0.305 s
% 25.31/4.58 % (4153526)Peak memory usage: 90 MB
% 25.31/4.58 % (4153526)Instructions burned: 326 (million)
% 25.31/4.58 % (4153536)Instruction limit reached!
% 25.31/4.58 % (4153536)------------------------------
% 25.31/4.58 % (4153536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.31/4.58 % (4153536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.31/4.58 % (4153536)CaDiCaL version: 2.1.3
% 25.31/4.58 % (4153536)Termination reason: Instruction limit
% 25.31/4.58 % (4153536)Termination phase: Saturation
% 25.31/4.58 % (4153536)Time elapsed: 0.104 s
% 25.31/4.58 % (4153536)Peak memory usage: 88 MB
% 25.31/4.58 % (4153536)Instructions burned: 113 (million)
% 25.31/4.58 % (4153542)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2109334480:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 25.31/4.58 % (4153531)------------------------------
% 25.31/4.58 % (4153531)------------------------------
% 25.31/4.58 % (4153543)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1567359326:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 25.31/4.58 % (4153542)Instruction limit reached!
% 25.31/4.58 % (4153542)------------------------------
% 25.31/4.58 % (4153542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/5.06 % (4153542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/5.06 % (4153542)CaDiCaL version: 2.1.3
% 24.33/5.06 % (4153542)Termination reason: Instruction limit
% 24.33/5.06 % (4153542)Termination phase: Saturation
% 24.33/5.06 % (4153542)Time elapsed: 0.103 s
% 24.33/5.06 % (4153542)Peak memory usage: 87 MB
% 24.33/5.06 % (4153542)Instructions burned: 127 (million)
% 24.33/5.06 % (4153543)Instruction limit reached!
% 24.33/5.06 % (4153543)------------------------------
% 24.33/5.06 % (4153543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/5.06 % (4153543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/5.06 % (4153543)CaDiCaL version: 2.1.3
% 24.33/5.06 % (4153543)Termination reason: Instruction limit
% 24.33/5.06 % (4153543)Termination phase: Saturation
% 24.33/5.06 % (4153543)Time elapsed: 0.112 s
% 24.33/5.06 % (4153543)Peak memory usage: 88 MB
% 24.33/5.06 % (4153543)Instructions burned: 115 (million)
% 24.33/5.06 % (4153546)lrs+10_1_sil=8000:sp=occurrence:random_seed=2841300132:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 24.33/5.06 % (4153549)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2688640370:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 24.33/5.06 % (4153549)Refutation not found, incomplete strategy
% 24.33/5.06 % (4153549)------------------------------
% 24.33/5.06 % (4153549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/5.06 % (4153549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/5.06 % (4153549)CaDiCaL version: 2.1.3
% 24.33/5.06 % (4153549)Termination reason: Refutation not found, incomplete strategy
% 24.33/5.06 % (4153549)Time elapsed: 0.001 s
% 24.33/5.06 % (4153549)Peak memory usage: 87 MB
% 24.33/5.06 % (4153550)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1601610509:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 24.33/5.06 % (4153549)------------------------------
% 24.33/5.06 % (4153549)------------------------------
% 24.33/5.06 % (4153558)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1600951419:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 24.33/5.06 % (4153533)Instruction limit reached!
% 24.33/5.06 % (4153533)------------------------------
% 24.33/5.06 % (4153533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/5.06 % (4153533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/5.06 % (4153533)CaDiCaL version: 2.1.3
% 24.33/5.06 % (4153533)Termination reason: Instruction limit
% 24.33/5.06 % (4153533)Termination phase: Saturation
% 24.33/5.06 % (4153533)Time elapsed: 1.328 s
% 24.33/5.06 % (4153533)Peak memory usage: 142 MB
% 24.33/5.06 % (4153533)Instructions burned: 2352 (million)
% 24.33/5.06 % (4153558)Instruction limit reached!
% 24.33/5.06 % (4153558)------------------------------
% 24.33/5.06 % (4153558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/5.06 % (4153558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/5.06 % (4153558)CaDiCaL version: 2.1.3
% 24.33/5.06 % (4153558)Termination reason: Instruction limit
% 24.33/5.06 % (4153558)Termination phase: Saturation
% 24.33/5.06 % (4153558)Time elapsed: 0.109 s
% 24.33/5.06 % (4153558)Peak memory usage: 89 MB
% 24.33/5.06 % (4153558)Instructions burned: 134 (million)
% 24.33/5.06 % (4153546)Instruction limit reached!
% 24.33/5.06 % (4153546)------------------------------
% 24.33/5.06 % (4153546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/5.06 % (4153546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/5.06 % (4153546)CaDiCaL version: 2.1.3
% 24.33/5.06 % (4153546)Termination reason: Instruction limit
% 24.33/5.06 % (4153546)Termination phase: Saturation
% 24.33/5.06 % (4153546)Time elapsed: 0.885 s
% 24.33/5.06 % (4153546)Peak memory usage: 96 MB
% 24.33/5.06 % (4153546)Instructions burned: 907 (million)
% 24.33/5.06 % (4153562)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=992650483:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 24.33/5.06 % (4153562)Refutation not found, incomplete strategy
% 24.33/5.06 % (4153562)------------------------------
% 24.33/5.06 % (4153562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/5.06 % (4153562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/5.06 % (4153562)CaDiCaL version: 2.1.3
% 24.33/5.06 % (4153562)Termination reason: Refutation not found, incomplete strategy
% 24.33/5.06 % (4153562)Time elapsed: 0.001 s
% 24.33/5.06 % (4153562)Peak memory usage: 87 MB
% 24.33/5.06 % (4153563)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=322930633:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 24.33/5.06 % (4153566)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=4088048198:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 24.33/5.06 % (4153562)------------------------------
% 24.33/5.06 % (4153562)------------------------------
% 24.33/5.06 % (4153566)Instruction limit reached!
% 24.33/5.06 % (4153566)------------------------------
% 24.33/5.06 % (4153566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/5.06 % (4153566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/5.06 % (4153566)CaDiCaL version: 2.1.3
% 24.33/5.06 % (4153566)Termination reason: Instruction limit
% 24.33/5.06 % (4153566)Termination phase: Saturation
% 24.33/5.06 % (4153566)Time elapsed: 0.106 s
% 24.33/5.06 % (4153566)Peak memory usage: 88 MB
% 24.33/5.06 % (4153566)Instructions burned: 125 (million)
% 24.33/5.06 % (4153572)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3829270821:i=134:gtgl=5:slsql=off:gtg=exists_sym_2973 on theBenchmark for (2973ds/134Mi)
% 24.33/5.06 % (4153572)Instruction limit reached!
% 24.33/5.06 % (4153572)------------------------------
% 24.33/5.06 % (4153572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/5.06 % (4153572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/5.06 % (4153572)CaDiCaL version: 2.1.3
% 24.33/5.06 % (4153572)Termination reason: Instruction limit
% 24.33/5.06 % (4153572)Termination phase: Saturation
% 24.33/5.06 % (4153572)Time elapsed: 0.054 s
% 24.33/5.06 % (4153572)Peak memory usage: 89 MB
% 24.33/5.06 % (4153572)Instructions burned: 134 (million)
% 24.33/5.06 % (4153574)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=533172964:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/141Mi)
% 24.33/5.06 % (4153574)Refutation not found, incomplete strategy
% 24.33/5.06 % (4153574)------------------------------
% 24.33/5.06 % (4153574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/5.06 % (4153574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/5.06 % (4153574)CaDiCaL version: 2.1.3
% 24.33/5.06 % (4153574)Termination reason: Refutation not found, incomplete strategy
% 24.33/5.06 % (4153574)Time elapsed: 0.001 s
% 24.33/5.06 % (4153574)Peak memory usage: 88 MB
% 24.33/5.06 % (4153576)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=978007908:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2971 on theBenchmark for (2971ds/431Mi)
% 24.33/5.06 % (4153576)Instruction limit reached!
% 24.33/5.06 % (4153576)------------------------------
% 24.33/5.06 % (4153576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/5.06 % (4153576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/5.06 % (4153576)CaDiCaL version: 2.1.3
% 24.33/5.06 % (4153576)Termination reason: Instruction limit
% 24.33/5.06 % (4153576)Termination phase: Saturation
% 24.33/5.06 % (4153576)Time elapsed: 0.179 s
% 24.33/5.06 % (4153576)Peak memory usage: 91 MB
% 24.33/5.06 % (4153576)Instructions burned: 433 (million)
% 24.33/5.06 % (4153574)------------------------------
% 24.33/5.06 % (4153574)------------------------------
% 24.33/5.06 % (4153582)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1202107909:i=6060:aac=none:ins=25_2967 on theBenchmark for (2967ds/6060Mi)
% 24.33/5.06 % (4153584)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2730254036:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2966 on theBenchmark for (2966ds/150Mi)
% 24.33/5.06 % (4153584)Instruction limit reached!
% 24.33/5.06 % (4153584)------------------------------
% 24.33/5.06 % (4153584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.33/5.06 % (4153584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.33/5.06 % (4153584)CaDiCaL version: 2.1.3
% 24.33/5.06 % (4153584)Termination reason: Instruction limit
% 24.33/5.06 % (4153584)Termination phase: Saturation
% 24.33/5.06 % (4153584)Time elapsed: 0.146 s
% 24.33/5.06 % (4153584)Peak memory usage: 89 MB
% 24.33/5.06 % (4153584)Instructions burned: 150 (million)
% 24.33/5.06 % (4153588)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1040212883:i=14155:bd=all_2963 on theBenchmark for (2963ds/14155Mi)
% 24.33/5.06 % (4153550)First to succeed.
% 24.33/5.06 % (4153550)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4153470"
% 24.33/5.06 % (4153550)Refutation found. Thanks to Tanya!
% 24.33/5.06 % SZS status Theorem for theBenchmark
% 24.33/5.06 % SZS output start Proof for theBenchmark
% See solution above
% 30.07/5.26 % (4153550)------------------------------
% 30.07/5.26 % (4153550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/5.26 % (4153550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.26 % (4153550)CaDiCaL version: 2.1.3
% 30.07/5.26 % (4153550)Termination reason: Refutation
% 30.07/5.26 % (4153550)Time elapsed: 2.193 s
% 30.07/5.26 % (4153550)Peak memory usage: 140 MB
% 30.07/5.26 % (4153550)Instructions burned: 2151 (million)
% 30.07/5.26 % (4153550)------------------------------
% 30.07/5.26 % (4153550)------------------------------
% 30.07/5.26 % (4153470)Success in time 4.164 s
% 30.07/5.26 % Vampire exiting
%------------------------------------------------------------------------------