%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL394+2 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:52:16 AM UTC 2026
% Result : Theorem 21.47s 3.89s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 85
% Number of leaves : 5
% Syntax : Number of formulae : 143 ( 16 unt; 2 def)
% Number of atoms : 340 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 398 ( 201 ~; 193 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 490 ( 0 sgn 490 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [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/sandbox2/benchmark/theBenchmark.p',f2) ).
fof(f3,conjecture,
is_a_theorem(implies(implies(implies(implies(x,y),implies(implies(y,z),z)),u),implies(implies(n(x),z),u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(implies(implies(implies(implies(x,y),implies(implies(y,z),z)),u),implies(implies(n(x),z),u))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ is_a_theorem(implies(implies(implies(implies(x,y),implies(implies(y,z),z)),u),implies(implies(n(x),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,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f7]) ).
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,
~ is_a_theorem(implies(implies(implies(implies(x,y),implies(implies(y,z),z)),u),implies(implies(n(x),z),u))),
inference(cnf_transformation,[],[f5]) ).
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,f8]) ).
fof(f12,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f11,f9]) ).
fof(f14,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(f15,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f14,f11]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f14,f8]) ).
fof(f18,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,[],[f15,f11]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X8,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))
| ~ is_a_theorem(X8) ),
inference(resolution,[],[f18,f8]) ).
fof(f21,definition,
( spl0_1
<=> ! [X8] : ~ is_a_theorem(X8) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f22,plain,
( ! [X8] : ~ is_a_theorem(X8)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,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(f25,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,[],[f24]) ).
fof(f26,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f24,f21]) ).
fof(f28,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,[],[f25,f8]) ).
fof(f31,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,[],[f28,f12]) ).
fof(f32,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(n(X1),X2))))
| ~ spl0_2 ),
inference(resolution,[],[f28,f15]) ).
fof(f54,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f22,f14]) ).
fof(f67,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f54]) ).
fof(f81,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f16,f31]) ).
fof(f90,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f81,f28]) ).
fof(f96,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f90,f8]) ).
fof(f97,plain,
( ~ is_a_theorem(implies(implies(n(x),z),implies(implies(x,y),implies(implies(y,z),z))))
| ~ spl0_2 ),
inference(resolution,[],[f96,f10]) ).
fof(f101,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f96,f8]) ).
fof(f107,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X3,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f101,f90]) ).
fof(f109,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f101,f12]) ).
fof(f124,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) )
| ~ spl0_2 ),
inference(resolution,[],[f109,f16]) ).
fof(f131,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f124,f90]) ).
fof(f138,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X3,implies(X4,X3)),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f124,f107]) ).
fof(f144,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X1),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f131,f101]) ).
fof(f145,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f131,f8]) ).
fof(f160,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,[],[f138,f31]) ).
fof(f170,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(n(X0),X1),X2),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f138,f32]) ).
fof(f182,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,[],[f160,f8]) ).
fof(f191,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,[],[f182,f96]) ).
fof(f204,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X1,X4),implies(X0,implies(implies(X4,X2),X3))))
| ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f191,f182]) ).
fof(f211,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,n(X1)),implies(X1,implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f170,f182]) ).
fof(f262,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),X1))
| ~ spl0_2 ),
inference(resolution,[],[f145,f31]) ).
fof(f270,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f145,f90]) ).
fof(f299,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f262,f182]) ).
fof(f310,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X1),implies(implies(X1,X0),X0)))
| ~ spl0_2 ),
inference(resolution,[],[f299,f182]) ).
fof(f312,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(n(X2),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f299,f101]) ).
fof(f320,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(n(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f310,f8]) ).
fof(f333,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),n(X1)),implies(X1,X0)))
| ~ spl0_2 ),
inference(resolution,[],[f312,f211]) ).
fof(f337,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f312,f15]) ).
fof(f392,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1))
| ~ spl0_2 ),
inference(resolution,[],[f337,f320]) ).
fof(f414,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f392,f138]) ).
fof(f419,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X2),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f392,f101]) ).
fof(f466,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(n(X0),X0),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f414,f28]) ).
fof(f478,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f414,f101]) ).
fof(f651,plain,
( ! [X0,X1] : is_a_theorem(implies(n(X0),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f333,f145]) ).
fof(f662,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0))
| ~ spl0_2 ),
inference(resolution,[],[f651,f320]) ).
fof(f676,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f662,f182]) ).
fof(f677,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f662,f101]) ).
fof(f700,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f676,f101]) ).
fof(f701,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f676,f8]) ).
fof(f782,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f700,f191]) ).
fof(f805,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f782,f145]) ).
fof(f954,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f805,f90]) ).
fof(f955,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X0),implies(implies(X0,X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f805,f466]) ).
fof(f983,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1))))
| ~ spl0_2 ),
inference(resolution,[],[f805,f270]) ).
fof(f1003,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f954,f8]) ).
fof(f1038,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f1003,f700]) ).
fof(f1056,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X3)))
| is_a_theorem(implies(implies(X0,X2),implies(implies(X2,X1),X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f1038,f182]) ).
fof(f1117,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X1),X1)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f955,f101]) ).
fof(f1174,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f983,f677]) ).
fof(f1185,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X0,X2))),implies(X1,implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f1174,f182]) ).
fof(f1212,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f1185,f8]) ).
fof(f1531,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(X1),X0))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f1117,f96]) ).
fof(f1554,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X2),X2)))
| ~ spl0_2 ),
inference(resolution,[],[f1531,f651]) ).
fof(f1579,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0)))
| ~ spl0_2 ),
inference(resolution,[],[f1554,f478]) ).
fof(f1737,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0)))
| ~ spl0_2 ),
inference(resolution,[],[f1579,f1056]) ).
fof(f1880,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f1737,f182]) ).
fof(f1891,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X1,X2),X0),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f1737,f805]) ).
fof(f1913,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2)))
| ~ spl0_2 ),
inference(resolution,[],[f1880,f805]) ).
fof(f1916,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),X2))
| ~ is_a_theorem(implies(X0,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f1880,f8]) ).
fof(f1925,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,implies(X0,X2)),implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f1913,f182]) ).
fof(f1938,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X3),X2)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f1913,f101]) ).
fof(f1958,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f1925,f805]) ).
fof(f1968,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X0,implies(X1,X2)),implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f1958,f182]) ).
fof(f2013,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X0),X2)),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f1968,f124]) ).
fof(f2025,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f1968,f805]) ).
fof(f2035,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f2025,f144]) ).
fof(f2065,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f2035,f419]) ).
fof(f2125,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(implies(X3,X1),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f2013,f101]) ).
fof(f2436,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(implies(X3,X3),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f2065,f101]) ).
fof(f2619,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(n(X0),X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f1938,f466]) ).
fof(f2775,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(implies(X3,X3),X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f2436,f1003]) ).
fof(f2843,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X1)),implies(X0,X1)))
| ~ spl0_2 ),
inference(resolution,[],[f2775,f1891]) ).
fof(f2931,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f2843,f101]) ).
fof(f2972,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(implies(X0,X3),X1)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f2931,f204]) ).
fof(f3138,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),X1)))
| ~ is_a_theorem(implies(X3,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f2972,f1003]) ).
fof(f3355,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(implies(X3,X0),X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f2125,f1003]) ).
fof(f3790,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X2,X3),X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f3138,f124]) ).
fof(f3967,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| is_a_theorem(implies(implies(X0,X3),implies(X2,X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f3790,f182]) ).
fof(f4029,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))) )
| ~ spl0_2 ),
inference(resolution,[],[f3967,f1916]) ).
fof(f4158,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X3,implies(implies(X0,X4),X2)))
| is_a_theorem(implies(X3,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f4029,f101]) ).
fof(f4390,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(X0),implies(X2,X1)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f4158,f2619]) ).
fof(f4486,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(n(X0),implies(X1,X3)))
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X2),implies(X1,X2)))) )
| ~ spl0_2 ),
inference(resolution,[],[f4390,f107]) ).
fof(f4562,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X1),X2),implies(X1,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f4486,f15]) ).
fof(f4587,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X0),X3),implies(X0,X3))))
| ~ spl0_2 ),
inference(resolution,[],[f4562,f182]) ).
fof(f4649,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X1,X3),implies(X1,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f4587,f805]) ).
fof(f4686,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X3)),implies(X0,implies(X2,X3))))
| ~ spl0_2 ),
inference(resolution,[],[f4649,f3355]) ).
fof(f4852,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X3),implies(X1,X3))))
| ~ spl0_2 ),
inference(resolution,[],[f4686,f182]) ).
fof(f4937,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(implies(X4,X3),X1)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) )
| ~ spl0_2 ),
inference(resolution,[],[f4852,f101]) ).
fof(f5011,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X0,X2),X3),implies(X1,X3))))
| ~ spl0_2 ),
inference(resolution,[],[f4937,f2025]) ).
fof(f5129,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(implies(X1,X2),X2),X3),implies(X0,X3))))
| ~ spl0_2 ),
inference(resolution,[],[f5011,f182]) ).
fof(f5319,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f5129,f8]) ).
fof(f5330,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,implies(X1,X3)),implies(X0,implies(X2,X3))))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f5319,f182]) ).
fof(f5483,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,implies(X3,X2))))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f5330,f145]) ).
fof(f5624,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))) )
| ~ spl0_2 ),
inference(resolution,[],[f5483,f677]) ).
fof(f5668,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f5624,f1913]) ).
fof(f5811,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(X1,X3),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f5668,f101]) ).
fof(f6637,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X3),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f5811,f96]) ).
fof(f6783,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X3),implies(X0,X3)))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f6637,f1003]) ).
fof(f7490,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,implies(X3,X0)),implies(X3,implies(X2,X1))))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f6783,f182]) ).
fof(f7539,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,implies(X3,X1))))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f7490,f145]) ).
fof(f7802,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X0,X3),implies(implies(X3,X1),implies(X4,X2))))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f7539,f182]) ).
fof(f8034,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X3,X1),implies(implies(X0,X3),X2)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f7802,f1212]) ).
fof(f8084,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f8034,f5811]) ).
fof(f8161,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1))))
| ~ is_a_theorem(implies(X3,implies(X2,X0))) )
| ~ spl0_2 ),
inference(resolution,[],[f8084,f96]) ).
fof(f8274,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f8161,f701]) ).
fof(f8379,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X1),X2),X1)))
| ~ is_a_theorem(implies(X2,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f8274,f1003]) ).
fof(f8742,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X0,X3))))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f8379,f4937]) ).
fof(f9671,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X3,X1),implies(implies(implies(X3,X2),X4),implies(X0,X4))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f8742,f182]) ).
fof(f9774,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X3,X1),implies(X3,implies(X0,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f9671,f5811]) ).
fof(f9830,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X1,X4),implies(implies(X4,X2),implies(X0,X3))))
| ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f9774,f182]) ).
fof(f9948,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3)))
| is_a_theorem(implies(X4,implies(implies(X5,X2),implies(X0,X3))))
| ~ is_a_theorem(implies(X4,implies(X1,X5))) )
| ~ spl0_2 ),
inference(resolution,[],[f9830,f101]) ).
fof(f12481,plain,
( $false
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f9948,f310,f1891,f97]) ).
fof(f12646,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f12481]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s9,plain,
~ spl0_1,
inference(sat_conversion,[],[f67]) ).
cnf(s22,plain,
~ spl0_2,
inference(sat_conversion,[],[f12646]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s1,s22,s9]) ).
fof(f12647,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL394+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.33 % Computer : n012.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Sun Sep 27 15:38:50 UTC 2026
% 0.11/0.34 % CPUTime :
% 0.11/0.34 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 Running first-order theorem proving
% 0.11/0.36 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.09/2.85 % (2532195)Detected formulas, will run a generic FOF schedule.
% 14.09/2.85 % (2532201)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=2168606790:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 14.09/2.85 % (2532202)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=1172338922:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 14.09/2.85 % (2532206)dis-21_1_sil=8000:lcm=predicate:random_seed=744804569:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 14.09/2.85 % (2532200)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=1356426465:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 14.09/2.85 % (2532203)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=591821276:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 14.09/2.85 % (2532203)Refutation not found, incomplete strategy
% 14.09/2.85 % (2532203)------------------------------
% 14.09/2.85 % (2532203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/2.85 % (2532203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/2.85 % (2532203)CaDiCaL version: 2.1.3
% 14.09/2.85 % (2532203)Termination reason: Refutation not found, incomplete strategy
% 14.09/2.85 % (2532203)Time elapsed: 0.001 s
% 14.09/2.85 % (2532203)Peak memory usage: 87 MB
% 14.09/2.85 % (2532206)Instruction limit reached!
% 14.09/2.85 % (2532206)------------------------------
% 14.09/2.85 % (2532206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/2.85 % (2532206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/2.85 % (2532206)CaDiCaL version: 2.1.3
% 14.09/2.85 % (2532206)Termination reason: Instruction limit
% 14.09/2.85 % (2532206)Termination phase: Saturation
% 14.09/2.85 % (2532206)Time elapsed: 0.070 s
% 14.09/2.85 % (2532206)Peak memory usage: 89 MB
% 14.09/2.85 % (2532206)Instructions burned: 130 (million)
% 14.09/2.85 % (2532204)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1618849775:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 14.09/2.85 % (2532205)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1662683560:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 14.09/2.85 % (2532204)Instruction limit reached!
% 14.09/2.85 % (2532204)------------------------------
% 14.09/2.85 % (2532204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/2.85 % (2532204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/2.85 % (2532204)CaDiCaL version: 2.1.3
% 14.09/2.85 % (2532204)Termination reason: Instruction limit
% 14.09/2.85 % (2532204)Termination phase: Saturation
% 14.09/2.85 % (2532204)Time elapsed: 0.063 s
% 14.09/2.85 % (2532204)Peak memory usage: 87 MB
% 14.09/2.85 % (2532204)Instructions burned: 119 (million)
% 14.09/2.85 % (2532205)Instruction limit reached!
% 14.09/2.85 % (2532205)------------------------------
% 14.09/2.85 % (2532205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/2.85 % (2532205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/2.85 % (2532205)CaDiCaL version: 2.1.3
% 14.09/2.85 % (2532205)Termination reason: Instruction limit
% 14.09/2.85 % (2532205)Termination phase: Saturation
% 14.09/2.85 % (2532205)Time elapsed: 0.072 s
% 14.09/2.85 % (2532205)Peak memory usage: 88 MB
% 14.09/2.85 % (2532205)Instructions burned: 143 (million)
% 14.09/2.85 % (2532203)------------------------------
% 14.09/2.85 % (2532203)------------------------------
% 14.09/2.85 % (2532214)lrs+10_1_sil=8000:sp=occurrence:random_seed=2570913609:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 14.09/2.85 % (2532217)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=3884116718:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 14.09/2.85 % (2532215)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2842528933:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 14.09/2.85 % (2532216)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2162916553:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 21.47/3.89 % (2532215)Instruction limit reached!
% 21.47/3.89 % (2532215)------------------------------
% 21.47/3.89 % (2532215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532215)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532215)Termination reason: Instruction limit
% 21.47/3.89 % (2532215)Termination phase: Saturation
% 21.47/3.89 % (2532215)Time elapsed: 0.075 s
% 21.47/3.89 % (2532215)Peak memory usage: 88 MB
% 21.47/3.89 % (2532215)Instructions burned: 158 (million)
% 21.47/3.89 % (2532214)Instruction limit reached!
% 21.47/3.89 % (2532214)------------------------------
% 21.47/3.89 % (2532214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532214)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532214)Termination reason: Instruction limit
% 21.47/3.89 % (2532214)Termination phase: Saturation
% 21.47/3.89 % (2532214)Time elapsed: 0.153 s
% 21.47/3.89 % (2532214)Peak memory usage: 91 MB
% 21.47/3.89 % (2532214)Instructions burned: 286 (million)
% 21.47/3.89 % (2532217)Instruction limit reached!
% 21.47/3.89 % (2532217)------------------------------
% 21.47/3.89 % (2532217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532217)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532217)Termination reason: Instruction limit
% 21.47/3.89 % (2532217)Termination phase: Saturation
% 21.47/3.89 % (2532217)Time elapsed: 0.108 s
% 21.47/3.89 % (2532217)Peak memory usage: 88 MB
% 21.47/3.89 % (2532217)Instructions burned: 249 (million)
% 21.47/3.89 % (2532216)Instruction limit reached!
% 21.47/3.89 % (2532216)------------------------------
% 21.47/3.89 % (2532216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532216)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532216)Termination reason: Instruction limit
% 21.47/3.89 % (2532216)Termination phase: Saturation
% 21.47/3.89 % (2532216)Time elapsed: 0.165 s
% 21.47/3.89 % (2532216)Peak memory usage: 90 MB
% 21.47/3.89 % (2532216)Instructions burned: 327 (million)
% 21.47/3.89 % (2532223)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3269301465:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 21.47/3.89 % (2532222)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2805626400:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 21.47/3.89 % (2532222)Refutation not found, incomplete strategy
% 21.47/3.89 % (2532222)------------------------------
% 21.47/3.89 % (2532222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532222)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532222)Termination reason: Refutation not found, incomplete strategy
% 21.47/3.89 % (2532222)Time elapsed: 0.001 s
% 21.47/3.89 % (2532222)Peak memory usage: 87 MB
% 21.47/3.89 % (2532227)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4035008185:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 21.47/3.89 % (2532226)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=324088573:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 21.47/3.89 % (2532227)Instruction limit reached!
% 21.47/3.89 % (2532227)------------------------------
% 21.47/3.89 % (2532227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532227)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532227)Termination reason: Instruction limit
% 21.47/3.89 % (2532227)Termination phase: Saturation
% 21.47/3.89 % (2532227)Time elapsed: 0.042 s
% 21.47/3.89 % (2532227)Peak memory usage: 87 MB
% 21.47/3.89 % (2532227)Instructions burned: 129 (million)
% 21.47/3.89 % (2532226)Instruction limit reached!
% 21.47/3.89 % (2532226)------------------------------
% 21.47/3.89 % (2532226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532226)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532226)Termination reason: Instruction limit
% 21.47/3.89 % (2532226)Termination phase: Saturation
% 21.47/3.89 % (2532226)Time elapsed: 0.054 s
% 21.47/3.89 % (2532226)Peak memory usage: 88 MB
% 21.47/3.89 % (2532226)Instructions burned: 115 (million)
% 21.47/3.89 % (2532222)------------------------------
% 21.47/3.89 % (2532222)------------------------------
% 21.47/3.89 % (2532232)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2628788462:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 21.47/3.89 % (2532232)Instruction limit reached!
% 21.47/3.89 % (2532232)------------------------------
% 21.47/3.89 % (2532232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532232)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532232)Termination reason: Instruction limit
% 21.47/3.89 % (2532232)Termination phase: Saturation
% 21.47/3.89 % (2532232)Time elapsed: 0.055 s
% 21.47/3.89 % (2532232)Peak memory usage: 89 MB
% 21.47/3.89 % (2532232)Instructions burned: 115 (million)
% 21.47/3.89 % (2532233)lrs+10_1_sil=8000:sp=occurrence:random_seed=1180731248:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 21.47/3.89 % (2532235)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=245498274:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 21.47/3.89 % (2532235)Refutation not found, incomplete strategy
% 21.47/3.89 % (2532235)------------------------------
% 21.47/3.89 % (2532235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532235)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532235)Termination reason: Refutation not found, incomplete strategy
% 21.47/3.89 % (2532235)Time elapsed: 0.001 s
% 21.47/3.89 % (2532235)Peak memory usage: 88 MB
% 21.47/3.89 % (2532238)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1034321590:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 21.47/3.89 % (2532235)------------------------------
% 21.47/3.89 % (2532235)------------------------------
% 21.47/3.89 % (2532233)Instruction limit reached!
% 21.47/3.89 % (2532233)------------------------------
% 21.47/3.89 % (2532233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532233)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532233)Termination reason: Instruction limit
% 21.47/3.89 % (2532233)Termination phase: Saturation
% 21.47/3.89 % (2532233)Time elapsed: 0.492 s
% 21.47/3.89 % (2532233)Peak memory usage: 97 MB
% 21.47/3.89 % (2532233)Instructions burned: 908 (million)
% 21.47/3.89 % (2532241)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4159710394:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 21.47/3.89 % (2532241)Instruction limit reached!
% 21.47/3.89 % (2532241)------------------------------
% 21.47/3.89 % (2532241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532241)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532241)Termination reason: Instruction limit
% 21.47/3.89 % (2532241)Termination phase: Saturation
% 21.47/3.89 % (2532241)Time elapsed: 0.064 s
% 21.47/3.89 % (2532241)Peak memory usage: 89 MB
% 21.47/3.89 % (2532241)Instructions burned: 134 (million)
% 21.47/3.89 % (2532244)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2559009685:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 21.47/3.89 % (2532242)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3301730169:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 21.47/3.89 % (2532242)Refutation not found, incomplete strategy
% 21.47/3.89 % (2532242)------------------------------
% 21.47/3.89 % (2532242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532242)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532242)Termination reason: Refutation not found, incomplete strategy
% 21.47/3.89 % (2532242)Time elapsed: 0.001 s
% 21.47/3.89 % (2532242)Peak memory usage: 88 MB
% 21.47/3.89 % (2532242)------------------------------
% 21.47/3.89 % (2532242)------------------------------
% 21.47/3.89 % (2532223)Instruction limit reached!
% 21.47/3.89 % (2532223)------------------------------
% 21.47/3.89 % (2532223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532223)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532223)Termination reason: Instruction limit
% 21.47/3.89 % (2532223)Termination phase: Saturation
% 21.47/3.89 % (2532223)Time elapsed: 1.338 s
% 21.47/3.89 % (2532223)Peak memory usage: 142 MB
% 21.47/3.89 % (2532223)Instructions burned: 2351 (million)
% 21.47/3.89 % (2532247)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=3692774146:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 21.47/3.89 % (2532247)Instruction limit reached!
% 21.47/3.89 % (2532247)------------------------------
% 21.47/3.89 % (2532247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532247)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532247)Termination reason: Instruction limit
% 21.47/3.89 % (2532247)Termination phase: Saturation
% 21.47/3.89 % (2532247)Time elapsed: 0.046 s
% 21.47/3.89 % (2532247)Peak memory usage: 88 MB
% 21.47/3.89 % (2532247)Instructions burned: 125 (million)
% 21.47/3.89 % (2532248)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4202971635:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 21.47/3.89 % (2532248)Instruction limit reached!
% 21.47/3.89 % (2532248)------------------------------
% 21.47/3.89 % (2532248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532248)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532248)Termination reason: Instruction limit
% 21.47/3.89 % (2532248)Termination phase: Saturation
% 21.47/3.89 % (2532248)Time elapsed: 0.071 s
% 21.47/3.89 % (2532248)Peak memory usage: 89 MB
% 21.47/3.89 % (2532248)Instructions burned: 134 (million)
% 21.47/3.89 % (2532250)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2655235820:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 21.47/3.89 % (2532250)Refutation not found, incomplete strategy
% 21.47/3.89 % (2532250)------------------------------
% 21.47/3.89 % (2532250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532250)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532250)Termination reason: Refutation not found, incomplete strategy
% 21.47/3.89 % (2532250)Time elapsed: 0.001 s
% 21.47/3.89 % (2532250)Peak memory usage: 88 MB
% 21.47/3.89 % (2532252)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2836677817:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 21.47/3.89 % (2532250)------------------------------
% 21.47/3.89 % (2532250)------------------------------
% 21.47/3.89 % (2532201)First to succeed.
% 21.47/3.89 % (2532201)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2532195"
% 21.47/3.89 % (2532252)Instruction limit reached!
% 21.47/3.89 % (2532252)------------------------------
% 21.47/3.89 % (2532252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.47/3.89 % (2532252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.47/3.89 % (2532252)CaDiCaL version: 2.1.3
% 21.47/3.89 % (2532252)Termination reason: Instruction limit
% 21.47/3.89 % (2532252)Termination phase: Saturation
% 21.47/3.89 % (2532252)Time elapsed: 0.214 s
% 21.47/3.89 % (2532252)Peak memory usage: 90 MB
% 21.47/3.89 % (2532252)Instructions burned: 432 (million)
% 21.47/3.89 % (2532257)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=640666130:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 21.47/3.89 % (2532201)Refutation found. Thanks to Tanya!
% 21.47/3.89 % SZS status Theorem for theBenchmark
% 21.47/3.89 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/4.04 % (2532201)------------------------------
% 0.12/4.04 % (2532201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.12/4.04 % (2532201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/4.04 % (2532201)CaDiCaL version: 2.1.3
% 0.12/4.04 % (2532201)Termination reason: Refutation
% 0.12/4.04 % (2532201)Time elapsed: 2.759 s
% 0.12/4.04 % (2532201)Peak memory usage: 164 MB
% 0.12/4.04 % (2532201)Instructions burned: 5435 (million)
% 0.12/4.04 % (2532201)------------------------------
% 0.12/4.04 % (2532201)------------------------------
% 0.12/4.04 % (2532195)Success in time 3.182 s
% 0.12/4.04 % Vampire exiting
%------------------------------------------------------------------------------