%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL374+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 : n026.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 11:52:09 AM UTC 2026
% Result : Theorem 46.94s 15.43s
% Output : Refutation 103.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 95
% Number of leaves : 13
% Syntax : Number of formulae : 219 ( 34 unt; 10 def)
% Number of atoms : 544 ( 14 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 655 ( 330 ~; 320 |; 1 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 543 ( 0 sgn 543 !; 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,y),implies(implies(implies(x,z),u),implies(implies(y,u),u)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,u),u)))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,u),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(x,y),implies(implies(implies(x,z),u),implies(implies(y,u),u)))),
inference(cnf_transformation,[],[f5]) ).
fof(f11,definition,
sF0 = implies(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
implies(x,y) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = implies(x,z),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
implies(x,z) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = implies(sF1,u),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
implies(sF1,u) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = implies(y,u),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
implies(y,u) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = implies(sF3,u),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
implies(sF3,u) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = implies(sF2,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
implies(sF2,sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = implies(sF0,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
implies(sF0,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
~ is_a_theorem(sF6),
inference(definition_folding,[],[f10,f24,f22,f20,f18,f16,f14,f12]) ).
fof(f74,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(f110,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f74,f9]) ).
fof(f147,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,[],[f110,f74]) ).
fof(f151,plain,
is_a_theorem(implies(sF5,sF6)),
inference(superposition,[],[f110,f24]) ).
fof(f153,plain,
is_a_theorem(implies(sF4,sF5)),
inference(superposition,[],[f110,f22]) ).
fof(f155,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f147,f74]) ).
fof(f156,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,[],[f147,f8]) ).
fof(f172,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,[],[f155,f74]) ).
fof(f176,plain,
! [X0] : is_a_theorem(implies(X0,implies(sF5,sF6))),
inference(superposition,[],[f155,f24]) ).
fof(f180,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,[],[f172,f8]) ).
fof(f203,definition,
( spl7_10
<=> ! [X8] : ~ is_a_theorem(X8) ),
introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).
fof(f204,plain,
( ! [X8] : ~ is_a_theorem(X8)
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,definition,
( spl7_11
<=> ! [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,[spl7_11])],[avatar_definition]) ).
fof(f207,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))
| ~ spl7_11 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f208,plain,
( spl7_10
| spl7_11 ),
inference(avatar_split_clause,[],[f180,f206,f203]) ).
fof(f209,plain,
( $false
| ~ spl7_10 ),
inference(resolution,[],[f204,f9]) ).
fof(f218,plain,
~ spl7_10,
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f220,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) )
| ~ spl7_11 ),
inference(resolution,[],[f207,f8]) ).
fof(f244,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))
| ~ spl7_11 ),
inference(resolution,[],[f220,f110]) ).
fof(f290,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2)))
| ~ spl7_11 ),
inference(resolution,[],[f156,f244]) ).
fof(f292,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(n(X1),X1),X1)))
| ~ spl7_11 ),
inference(resolution,[],[f156,f207]) ).
fof(f312,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl7_11 ),
inference(resolution,[],[f290,f220]) ).
fof(f332,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) )
| ~ spl7_11 ),
inference(resolution,[],[f312,f8]) ).
fof(f357,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f332,f8]) ).
fof(f377,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))) )
| ~ spl7_11 ),
inference(resolution,[],[f357,f312]) ).
fof(f379,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) )
| ~ spl7_11 ),
inference(resolution,[],[f357,f110]) ).
fof(f405,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) )
| ~ spl7_11 ),
inference(resolution,[],[f379,f156]) ).
fof(f418,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ spl7_11 ),
inference(resolution,[],[f405,f312]) ).
fof(f435,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X1),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f418,f357]) ).
fof(f436,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f418,f8]) ).
fof(f458,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X2),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl7_11 ),
inference(resolution,[],[f435,f332]) ).
fof(f476,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))
| ~ spl7_11 ),
inference(resolution,[],[f436,f312]) ).
fof(f511,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1)))
| ~ spl7_11 ),
inference(resolution,[],[f292,f435]) ).
fof(f515,plain,
( ! [X0] : is_a_theorem(implies(implies(n(X0),X0),X0))
| ~ spl7_11 ),
inference(resolution,[],[f292,f405]) ).
fof(f521,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(n(X0),X1)))
| ~ spl7_11 ),
inference(resolution,[],[f511,f220]) ).
fof(f532,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(n(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f521,f357]) ).
fof(f575,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3)))
| ~ spl7_11 ),
inference(resolution,[],[f458,f312]) ).
fof(f578,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))
| ~ spl7_11 ),
inference(resolution,[],[f458,f511]) ).
fof(f595,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(n(X0),X0),X1)))
| ~ spl7_11 ),
inference(resolution,[],[f578,f220]) ).
fof(f603,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X2),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f578,f8]) ).
fof(f843,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(n(X0),X1),X2),implies(X0,X2)))
| ~ spl7_11 ),
inference(resolution,[],[f575,f220]) ).
fof(f855,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X2),implies(X3,X2)),X1))
| is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f575,f8]) ).
fof(f886,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(n(X1),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f843,f357]) ).
fof(f1094,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X1),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f515,f357]) ).
fof(f1100,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1))
| ~ spl7_11 ),
inference(resolution,[],[f1094,f578]) ).
fof(f1111,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(n(X1),X0)) )
| ~ spl7_11 ),
inference(resolution,[],[f1094,f332]) ).
fof(f1139,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X2),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f1100,f357]) ).
fof(f1194,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X1,X0)))
| is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f1111,f357]) ).
fof(f1294,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(implies(X0,X2)),implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f1194,f312]) ).
fof(f1342,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1))))
| ~ spl7_11 ),
inference(resolution,[],[f1294,f155]) ).
fof(f1348,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X0,X1)))
| ~ spl7_11 ),
inference(resolution,[],[f1294,f292]) ).
fof(f1374,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1)))
| ~ spl7_11 ),
inference(resolution,[],[f1348,f855]) ).
fof(f1394,plain,
( ! [X0,X1] : is_a_theorem(implies(n(X0),implies(X0,X1)))
| ~ spl7_11 ),
inference(resolution,[],[f1374,f886]) ).
fof(f1420,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ spl7_11 ),
inference(resolution,[],[f1394,f1294]) ).
fof(f1450,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f1420,f357]) ).
fof(f1451,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f1420,f8]) ).
fof(f1481,plain,
( ~ is_a_theorem(implies(sF0,sF6))
| is_a_theorem(sF6)
| ~ spl7_11 ),
inference(superposition,[],[f1451,f24]) ).
fof(f1488,plain,
( ~ is_a_theorem(implies(sF0,sF6))
| ~ spl7_11 ),
inference(forward_subsumption_resolution,[],[f1481,f25]) ).
fof(f1528,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1)))
| ~ spl7_11 ),
inference(resolution,[],[f1450,f312]) ).
fof(f1549,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)))
| ~ spl7_11 ),
inference(resolution,[],[f1528,f458]) ).
fof(f1572,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2))))
| ~ spl7_11 ),
inference(resolution,[],[f1549,f603]) ).
fof(f1585,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))) )
| ~ spl7_11 ),
inference(resolution,[],[f1549,f357]) ).
fof(f1667,plain,
( ! [X0] : is_a_theorem(implies(X0,implies(y,implies(sF3,u))))
| ~ spl7_11 ),
inference(superposition,[],[f1572,f18]) ).
fof(f1672,plain,
( ! [X0] : is_a_theorem(implies(X0,implies(y,sF4)))
| ~ spl7_11 ),
inference(forward_demodulation,[],[f1667,f20]) ).
fof(f1689,plain,
( ! [X0] : is_a_theorem(implies(implies(X0,y),implies(X0,sF4)))
| ~ spl7_11 ),
inference(resolution,[],[f1672,f1294]) ).
fof(f1713,plain,
( is_a_theorem(implies(sF0,implies(x,sF4)))
| ~ spl7_11 ),
inference(superposition,[],[f1689,f12]) ).
fof(f1814,plain,
( ! [X0] : is_a_theorem(implies(implies(X0,sF5),implies(X0,sF6)))
| ~ spl7_11 ),
inference(superposition,[],[f1342,f24]) ).
fof(f1965,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))
| ~ spl7_11 ),
inference(resolution,[],[f1585,f312]) ).
fof(f1967,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))) )
| ~ spl7_11 ),
inference(resolution,[],[f1585,f332]) ).
fof(f2026,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X0,X2)))
| ~ spl7_11 ),
inference(resolution,[],[f1965,f1139]) ).
fof(f2033,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f1965,f8]) ).
fof(f2063,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(n(X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0)) )
| ~ spl7_11 ),
inference(resolution,[],[f2033,f532]) ).
fof(f2066,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))
| ~ spl7_11 ),
inference(resolution,[],[f2033,f312]) ).
fof(f2067,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(n(X0),X0),implies(implies(X0,X1),X1)))
| ~ spl7_11 ),
inference(resolution,[],[f2033,f595]) ).
fof(f2133,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X2,X3))) )
| ~ spl7_11 ),
inference(resolution,[],[f2066,f357]) ).
fof(f2134,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl7_11 ),
inference(resolution,[],[f2066,f8]) ).
fof(f2302,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))) )
| ~ spl7_11 ),
inference(resolution,[],[f2026,f357]) ).
fof(f2728,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X3,X1),implies(X3,X2)))
| ~ is_a_theorem(X0) )
| ~ spl7_11 ),
inference(resolution,[],[f2133,f8]) ).
fof(f2807,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(n(X1),X1)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f2067,f357]) ).
fof(f2826,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),X2)))
| ~ is_a_theorem(implies(n(X1),X0)) )
| ~ spl7_11 ),
inference(resolution,[],[f2807,f332]) ).
fof(f2933,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X0),X2)))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f2826,f2033]) ).
fof(f3451,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,X1),X2))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f2728,f418]) ).
fof(f6187,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(n(X0),X2)))
| ~ spl7_11 ),
inference(resolution,[],[f1967,f843]) ).
fof(f6203,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X0,implies(X3,X1))) )
| ~ spl7_11 ),
inference(resolution,[],[f1967,f332]) ).
fof(f6279,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0))
| ~ spl7_11 ),
inference(resolution,[],[f6187,f1094]) ).
fof(f6508,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f6279,f357]) ).
fof(f6559,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f6508,f2933]) ).
fof(f6565,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1)))
| ~ spl7_11 ),
inference(resolution,[],[f6508,f1342]) ).
fof(f6705,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X0,X1)))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(n(X0),X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f6559,f357]) ).
fof(f6795,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(X2),X1))
| is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(X2,X0)) )
| ~ spl7_11 ),
inference(resolution,[],[f6705,f332]) ).
fof(f6797,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(n(implies(X1,X2)),implies(X0,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f6705,f312]) ).
fof(f6982,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f6797,f2063]) ).
fof(f7044,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2))))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f6982,f1450]) ).
fof(f7047,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X2),X3))))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X3))) )
| ~ spl7_11 ),
inference(resolution,[],[f6982,f2302]) ).
fof(f7759,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f6565,f357]) ).
fof(f8232,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) )
| ~ spl7_11 ),
inference(resolution,[],[f7044,f377]) ).
fof(f10204,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) )
| ~ spl7_11 ),
inference(resolution,[],[f8232,f8]) ).
fof(f10288,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f10204,f1572]) ).
fof(f11499,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f10288,f332]) ).
fof(f11558,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),implies(implies(X1,X2),X2)))
| ~ spl7_11 ),
inference(resolution,[],[f11499,f292]) ).
fof(f12764,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(implies(n(X0),X0),X2)))
| ~ spl7_11 ),
inference(resolution,[],[f11558,f1967]) ).
fof(f12899,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(n(X0),X0),implies(X2,X1))))
| ~ spl7_11 ),
inference(resolution,[],[f12764,f855]) ).
fof(f13132,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,implies(n(X1),X1)),implies(X0,implies(X2,X3))))
| ~ is_a_theorem(implies(X1,X3)) )
| ~ spl7_11 ),
inference(resolution,[],[f12899,f2728]) ).
fof(f13404,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X2,implies(implies(X2,X0),implies(X3,X1))))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f13132,f855]) ).
fof(f16538,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,implies(X2,X0)),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f13404,f7047]) ).
fof(f16554,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X2) )
| ~ spl7_11 ),
inference(resolution,[],[f13404,f8]) ).
fof(f16669,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X3,implies(X3,X0))))
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f16538,f357]) ).
fof(f17561,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X3)))
| ~ is_a_theorem(implies(X3,X2))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f16669,f2134]) ).
fof(f17567,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(n(X0),X0),X2)))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl7_11 ),
inference(resolution,[],[f16669,f12899]) ).
fof(f19720,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,implies(implies(X3,X2),X0)),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f17561,f418]) ).
fof(f20477,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(implies(X3,X2),X0)))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f19720,f8]) ).
fof(f20498,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X3),X1))
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,X3)) )
| ~ spl7_11 ),
inference(resolution,[],[f20477,f13404]) ).
fof(f20940,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X4,X3),X2))
| ~ is_a_theorem(implies(X0,X3))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f20498,f379]) ).
fof(f21682,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,implies(n(X1),X2)),X3)))
| is_a_theorem(implies(X0,implies(X4,X3))) )
| ~ spl7_11 ),
inference(resolution,[],[f20940,f207]) ).
fof(f21748,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(n(X0),X1),X2),implies(X3,implies(X0,X2))))
| ~ spl7_11 ),
inference(resolution,[],[f21682,f2066]) ).
fof(f22376,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(n(X1),X3),X2))
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f21748,f8]) ).
fof(f25123,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X1),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl7_11 ),
inference(resolution,[],[f7759,f332]) ).
fof(f25343,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,implies(X0,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f25123,f6203]) ).
fof(f25345,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2)))
| ~ spl7_11 ),
inference(resolution,[],[f25123,f1549]) ).
fof(f25520,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X1),X1)))
| ~ spl7_11 ),
inference(resolution,[],[f25345,f2033]) ).
fof(f25544,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))) )
| ~ spl7_11 ),
inference(resolution,[],[f25345,f357]) ).
fof(f25679,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,implies(X0,X2)),implies(X0,X2))))
| ~ spl7_11 ),
inference(resolution,[],[f25544,f312]) ).
fof(f25687,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(n(X0),X1),X1)))
| ~ spl7_11 ),
inference(resolution,[],[f25544,f595]) ).
fof(f25694,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(n(X0),X2),X2)))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl7_11 ),
inference(resolution,[],[f25544,f17567]) ).
fof(f25879,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,implies(n(X1),X2)),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) )
| ~ spl7_11 ),
inference(resolution,[],[f25687,f2728]) ).
fof(f26212,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(n(X2),X1),implies(implies(X2,X0),X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f25694,f2033]) ).
fof(f26356,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(n(X0),X1)))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f25879,f8]) ).
fof(f26463,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,X2))))
| ~ spl7_11 ),
inference(resolution,[],[f25679,f2033]) ).
fof(f26580,plain,
( ! [X0] : is_a_theorem(implies(implies(X0,sF1),implies(implies(x,X0),sF1)))
| ~ spl7_11 ),
inference(superposition,[],[f26463,f14]) ).
fof(f26992,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X2,implies(X3,implies(implies(X3,X0),X1))))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f26212,f22376]) ).
fof(f27099,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X2,implies(X3,implies(implies(X2,X0),X1))))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f26992,f2033]) ).
fof(f28192,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X3,implies(implies(X1,X4),X2)))
| is_a_theorem(implies(X3,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f25343,f357]) ).
fof(f28245,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))) )
| ~ spl7_11 ),
inference(resolution,[],[f28192,f25520]) ).
fof(f28548,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X3),X2))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X1))) )
| ~ spl7_11 ),
inference(resolution,[],[f28245,f332]) ).
fof(f30255,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),X1))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f16554,f1094]) ).
fof(f33578,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X2,X3),implies(X0,X3))) )
| ~ spl7_11 ),
inference(resolution,[],[f30255,f1967]) ).
fof(f33816,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))
| is_a_theorem(implies(implies(X2,X3),implies(X0,X3))) )
| ~ spl7_11 ),
inference(resolution,[],[f33578,f1100]) ).
fof(f34216,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X3),X1)))
| ~ is_a_theorem(implies(X3,X0)) )
| ~ spl7_11 ),
inference(resolution,[],[f33816,f2134]) ).
fof(f35294,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,X3))
| is_a_theorem(implies(implies(implies(X2,X2),X0),X3))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f34216,f8]) ).
fof(f43006,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(n(X2),X2)))
| is_a_theorem(implies(implies(implies(X0,X0),X1),X2)) )
| ~ spl7_11 ),
inference(resolution,[],[f35294,f515]) ).
fof(f45415,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),X3)))
| ~ is_a_theorem(implies(X2,X3)) )
| ~ spl7_11 ),
inference(resolution,[],[f43006,f27099]) ).
fof(f45655,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(implies(implies(X3,X3),X2),X1)))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl7_11 ),
inference(resolution,[],[f45415,f2033]) ).
fof(f45829,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))
| is_a_theorem(implies(implies(X3,X0),implies(implies(implies(X4,X4),X3),X2))) )
| ~ spl7_11 ),
inference(resolution,[],[f45655,f2302]) ).
fof(f46044,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),implies(X3,X1))))
| ~ spl7_11 ),
inference(resolution,[],[f45829,f476]) ).
fof(f46713,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),implies(X3,X2))))
| ~ spl7_11 ),
inference(resolution,[],[f46044,f2033]) ).
fof(f46916,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,z),sF1)))
| ~ spl7_11 ),
inference(superposition,[],[f46713,f14]) ).
fof(f46921,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,u),sF4)))
| ~ spl7_11 ),
inference(superposition,[],[f46713,f20]) ).
fof(f48683,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X2),X1)))
| is_a_theorem(implies(X0,implies(implies(X1,u),sF4))) )
| ~ spl7_11 ),
inference(resolution,[],[f46921,f357]) ).
fof(f48937,plain,
( is_a_theorem(implies(implies(x,sF1),implies(implies(sF1,u),sF4)))
| ~ spl7_11 ),
inference(resolution,[],[f48683,f26580]) ).
fof(f48951,plain,
( ! [X0] : is_a_theorem(implies(implies(implies(X0,X0),z),implies(implies(sF1,u),sF4)))
| ~ spl7_11 ),
inference(resolution,[],[f48683,f46916]) ).
fof(f49031,plain,
( ! [X0] : is_a_theorem(implies(implies(implies(X0,X0),z),implies(sF2,sF4)))
| ~ spl7_11 ),
inference(forward_demodulation,[],[f48951,f16]) ).
fof(f49033,plain,
( is_a_theorem(implies(implies(x,sF1),implies(sF2,sF4)))
| ~ spl7_11 ),
inference(forward_demodulation,[],[f48937,f16]) ).
fof(f49034,plain,
( ! [X0] : is_a_theorem(implies(implies(implies(X0,X0),z),sF5))
| ~ spl7_11 ),
inference(forward_demodulation,[],[f49031,f22]) ).
fof(f49035,plain,
( is_a_theorem(implies(implies(x,sF1),sF5))
| ~ spl7_11 ),
inference(forward_demodulation,[],[f49033,f22]) ).
fof(f49049,plain,
( ! [X0] : is_a_theorem(implies(implies(x,X0),implies(implies(sF5,X0),X0)))
| ~ spl7_11 ),
inference(resolution,[],[f49035,f28548]) ).
fof(f50430,plain,
( ! [X0] : is_a_theorem(implies(implies(X0,z),implies(X0,sF5)))
| ~ spl7_11 ),
inference(resolution,[],[f49034,f3451]) ).
fof(f50597,plain,
( is_a_theorem(implies(implies(sF0,z),sF6))
| ~ spl7_11 ),
inference(superposition,[],[f50430,f24]) ).
fof(f50601,plain,
( ! [X0] : is_a_theorem(implies(implies(X0,z),implies(X0,sF6)))
| ~ spl7_11 ),
inference(resolution,[],[f50597,f3451]) ).
fof(f50761,plain,
( ! [X0] :
( is_a_theorem(implies(implies(n(X0),z),sF6))
| ~ is_a_theorem(implies(X0,sF6)) )
| ~ spl7_11 ),
inference(resolution,[],[f50601,f26356]) ).
fof(f50997,definition,
( spl7_435
<=> is_a_theorem(implies(sF1,sF6)) ),
introduced(definition,[new_symbols(definition,[spl7_435])],[avatar_definition]) ).
fof(f50998,plain,
( ~ is_a_theorem(implies(sF1,sF6))
| spl7_435 ),
inference(avatar_component_clause,[],[f50997]) ).
fof(f50999,plain,
( is_a_theorem(implies(sF1,sF6))
| ~ spl7_435 ),
inference(avatar_component_clause,[],[f50997]) ).
fof(f51352,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X1,implies(n(X0),z)))
| is_a_theorem(implies(X1,sF6))
| ~ is_a_theorem(implies(X0,sF6)) )
| ~ spl7_11 ),
inference(resolution,[],[f50761,f357]) ).
fof(f51411,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),z),sF6))
| ~ is_a_theorem(implies(X0,sF6)) )
| ~ spl7_11 ),
inference(resolution,[],[f51352,f6187]) ).
fof(f52645,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(implies(X0,X2),z)))
| is_a_theorem(implies(X1,sF6))
| ~ is_a_theorem(implies(X0,sF6)) )
| ~ spl7_11 ),
inference(resolution,[],[f51411,f357]) ).
fof(f52779,plain,
( is_a_theorem(implies(implies(x,z),sF6))
| ~ is_a_theorem(implies(sF5,sF6))
| ~ spl7_11 ),
inference(resolution,[],[f52645,f49049]) ).
fof(f52797,plain,
( ! [X0] :
( ~ is_a_theorem(implies(X0,implies(sF2,z)))
| is_a_theorem(implies(X0,sF6))
| ~ is_a_theorem(implies(sF1,sF6)) )
| ~ spl7_11 ),
inference(superposition,[],[f52645,f16]) ).
fof(f52800,plain,
( is_a_theorem(implies(implies(x,z),sF6))
| ~ spl7_11 ),
inference(forward_subsumption_resolution,[],[f52779,f151]) ).
fof(f52809,plain,
( is_a_theorem(implies(sF1,sF6))
| ~ spl7_11 ),
inference(forward_demodulation,[],[f52800,f14]) ).
fof(f52810,plain,
( $false
| ~ spl7_11
| spl7_435 ),
inference(forward_subsumption_resolution,[],[f52809,f50998]) ).
fof(f52811,plain,
( ~ spl7_11
| spl7_435 ),
inference(avatar_contradiction_clause,[],[f52810]) ).
fof(f52812,plain,
( ! [X0] :
( ~ is_a_theorem(implies(X0,implies(sF2,z)))
| is_a_theorem(implies(X0,sF6)) )
| ~ spl7_11
| ~ spl7_435 ),
inference(forward_subsumption_resolution,[],[f52797,f50999]) ).
fof(f52871,plain,
( is_a_theorem(implies(n(sF2),sF6))
| ~ spl7_11
| ~ spl7_435 ),
inference(resolution,[],[f52812,f1394]) ).
fof(f52890,plain,
( ! [X0] :
( is_a_theorem(implies(implies(X0,sF6),sF6))
| ~ is_a_theorem(implies(sF2,X0)) )
| ~ spl7_11
| ~ spl7_435 ),
inference(resolution,[],[f52871,f6795]) ).
fof(f57929,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,sF6)))
| is_a_theorem(implies(X1,sF6))
| ~ is_a_theorem(implies(sF2,X0)) )
| ~ spl7_11
| ~ spl7_435 ),
inference(resolution,[],[f52890,f357]) ).
fof(f58062,plain,
( is_a_theorem(implies(implies(x,sF6),sF6))
| ~ is_a_theorem(implies(sF2,implies(sF5,sF6)))
| ~ spl7_11
| ~ spl7_435 ),
inference(resolution,[],[f57929,f49049]) ).
fof(f58111,plain,
( is_a_theorem(implies(implies(x,sF6),sF6))
| ~ spl7_11
| ~ spl7_435 ),
inference(forward_subsumption_resolution,[],[f58062,f176]) ).
fof(f58159,plain,
( ! [X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X0),X1),sF6))
| ~ is_a_theorem(implies(X1,implies(x,sF6))) )
| ~ spl7_11
| ~ spl7_435 ),
inference(resolution,[],[f58111,f35294]) ).
fof(f58576,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(x,sF6)))
| is_a_theorem(implies(X1,sF6))
| ~ is_a_theorem(implies(X1,X0)) )
| ~ spl7_11
| ~ spl7_435 ),
inference(resolution,[],[f58159,f20498]) ).
fof(f59670,plain,
( ! [X0] :
( ~ is_a_theorem(implies(X0,implies(x,sF5)))
| is_a_theorem(implies(X0,sF6)) )
| ~ spl7_11
| ~ spl7_435 ),
inference(resolution,[],[f58576,f1814]) ).
fof(f59953,plain,
( ! [X0] :
( is_a_theorem(implies(implies(x,X0),sF6))
| ~ is_a_theorem(implies(X0,sF5)) )
| ~ spl7_11
| ~ spl7_435 ),
inference(resolution,[],[f59670,f2134]) ).
fof(f60077,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X1,implies(x,X0)))
| is_a_theorem(implies(X1,sF6))
| ~ is_a_theorem(implies(X0,sF5)) )
| ~ spl7_11
| ~ spl7_435 ),
inference(resolution,[],[f59953,f357]) ).
fof(f60223,plain,
( is_a_theorem(implies(sF0,sF6))
| ~ is_a_theorem(implies(sF4,sF5))
| ~ spl7_11
| ~ spl7_435 ),
inference(resolution,[],[f60077,f1713]) ).
fof(f60229,plain,
( ~ is_a_theorem(implies(sF4,sF5))
| ~ spl7_11
| ~ spl7_435 ),
inference(forward_subsumption_resolution,[],[f60223,f1488]) ).
fof(f60253,plain,
( $false
| ~ spl7_11
| ~ spl7_435 ),
inference(forward_subsumption_resolution,[],[f60229,f153]) ).
fof(f60254,plain,
( ~ spl7_11
| ~ spl7_435 ),
inference(avatar_contradiction_clause,[],[f60253]) ).
cnf(s6,plain,
( spl7_10
| spl7_11 ),
inference(sat_conversion,[],[f208]) ).
cnf(s11,plain,
~ spl7_10,
inference(sat_conversion,[],[f218]) ).
cnf(s664,plain,
( ~ spl7_11
| spl7_435 ),
inference(sat_conversion,[],[f52811]) ).
cnf(s907,plain,
( ~ spl7_11
| ~ spl7_435 ),
inference(sat_conversion,[],[f60254]) ).
cnf(s913,plain,
spl7_11,
inference(rat,[],[s6,s11]) ).
cnf(s914,plain,
~ spl7_435,
inference(rat,[],[s907,s913]) ).
cnf(s927,plain,
$false,
inference(rat,[],[s664,s914,s913]) ).
fof(f60260,plain,
$false,
inference(avatar_sat_refutation,[],[s927]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL374+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:40:11 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 21.05/3.95 % (3016156)Detected formulas, will run a generic FOF schedule.
% 21.05/3.95 % (3016231)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3777160224:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 21.05/3.95 % (3016231)Refutation not found, incomplete strategy
% 21.05/3.95 % (3016231)------------------------------
% 21.05/3.95 % (3016231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.05/3.95 % (3016231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.05/3.95 % (3016231)CaDiCaL version: 2.1.3
% 21.05/3.95 % (3016231)Termination reason: Refutation not found, incomplete strategy
% 21.05/3.95 % (3016231)Time elapsed: 0.001 s
% 21.05/3.95 % (3016231)Peak memory usage: 87 MB
% 21.05/3.95 % (3016233)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=522970368:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 21.05/3.95 % (3016228)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=2133460837:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 21.05/3.95 % (3016229)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=4263032140:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 21.05/3.95 % (3016223)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=1581276426:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 21.05/3.95 % (3016232)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2072410893:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 21.05/3.95 % (3016232)Refutation not found, incomplete strategy
% 21.05/3.95 % (3016232)------------------------------
% 21.05/3.95 % (3016232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.05/3.95 % (3016232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.05/3.95 % (3016232)CaDiCaL version: 2.1.3
% 21.05/3.95 % (3016232)Termination reason: Refutation not found, incomplete strategy
% 21.05/3.95 % (3016232)Time elapsed: 0.001 s
% 21.05/3.95 % (3016232)Peak memory usage: 87 MB
% 21.05/3.95 % (3016235)dis-21_1_sil=8000:lcm=predicate:random_seed=4106451100: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)
% 21.05/3.95 % (3016233)Instruction limit reached!
% 21.05/3.95 % (3016233)------------------------------
% 21.05/3.95 % (3016233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.05/3.95 % (3016233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.05/3.95 % (3016233)CaDiCaL version: 2.1.3
% 21.05/3.95 % (3016233)Termination reason: Instruction limit
% 21.05/3.95 % (3016233)Termination phase: Saturation
% 21.05/3.95 % (3016233)Time elapsed: 0.138 s
% 21.05/3.95 % (3016233)Peak memory usage: 89 MB
% 21.05/3.95 % (3016233)Instructions burned: 140 (million)
% 21.05/3.95 % (3016235)Instruction limit reached!
% 21.05/3.95 % (3016235)------------------------------
% 21.05/3.95 % (3016235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.05/3.95 % (3016235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.05/3.95 % (3016235)CaDiCaL version: 2.1.3
% 21.05/3.95 % (3016235)Termination reason: Instruction limit
% 21.05/3.95 % (3016235)Termination phase: Saturation
% 21.05/3.95 % (3016235)Time elapsed: 0.134 s
% 21.05/3.95 % (3016235)Peak memory usage: 89 MB
% 21.05/3.95 % (3016235)Instructions burned: 129 (million)
% 21.05/3.95 % (3016231)------------------------------
% 21.05/3.95 % (3016231)------------------------------
% 21.05/3.95 % (3016256)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2990559432:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 21.05/3.95 % (3016254)lrs+10_1_sil=8000:sp=occurrence:random_seed=1759770782:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 21.05/3.95 % (3016232)------------------------------
% 21.05/3.95 % (3016232)------------------------------
% 21.05/3.95 % (3016257)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1298709937:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 21.05/3.95 % (3016256)Instruction limit reached!
% 21.05/3.95 % (3016256)------------------------------
% 21.05/3.95 % (3016256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.84/5.32 % (3016256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.84/5.32 % (3016256)CaDiCaL version: 2.1.3
% 31.84/5.32 % (3016256)Termination reason: Instruction limit
% 31.84/5.32 % (3016256)Termination phase: Saturation
% 31.84/5.32 % (3016256)Time elapsed: 0.077 s
% 31.84/5.32 % (3016256)Peak memory usage: 88 MB
% 31.84/5.32 % (3016256)Instructions burned: 157 (million)
% 31.84/5.32 % (3016262)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2585957086:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 31.84/5.32 % (3016262)Refutation not found, incomplete strategy
% 31.84/5.32 % (3016262)------------------------------
% 31.84/5.32 % (3016262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.84/5.32 % (3016262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.84/5.32 % (3016262)CaDiCaL version: 2.1.3
% 31.84/5.32 % (3016262)Termination reason: Refutation not found, incomplete strategy
% 31.84/5.32 % (3016262)Time elapsed: 0.001 s
% 31.84/5.32 % (3016262)Peak memory usage: 87 MB
% 31.84/5.32 % (3016254)Instruction limit reached!
% 31.84/5.32 % (3016254)------------------------------
% 31.84/5.32 % (3016254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.84/5.32 % (3016254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.84/5.32 % (3016254)CaDiCaL version: 2.1.3
% 31.84/5.32 % (3016254)Termination reason: Instruction limit
% 31.84/5.32 % (3016254)Termination phase: Saturation
% 31.84/5.32 % (3016254)Time elapsed: 0.259 s
% 31.84/5.32 % (3016254)Peak memory usage: 91 MB
% 31.84/5.32 % (3016254)Instructions burned: 286 (million)
% 31.84/5.32 % (3016261)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=233976584:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 31.84/5.32 % (3016257)Instruction limit reached!
% 31.84/5.32 % (3016257)------------------------------
% 31.84/5.32 % (3016257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.84/5.32 % (3016257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.84/5.32 % (3016257)CaDiCaL version: 2.1.3
% 31.84/5.32 % (3016257)Termination reason: Instruction limit
% 31.84/5.32 % (3016257)Termination phase: Saturation
% 31.84/5.32 % (3016257)Time elapsed: 0.314 s
% 31.84/5.32 % (3016257)Peak memory usage: 89 MB
% 31.84/5.32 % (3016257)Instructions burned: 325 (million)
% 31.84/5.32 % (3016262)------------------------------
% 31.84/5.32 % (3016262)------------------------------
% 31.84/5.32 % (3016270)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1611504198:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 31.84/5.32 % (3016261)Instruction limit reached!
% 31.84/5.32 % (3016261)------------------------------
% 31.84/5.32 % (3016261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.84/5.32 % (3016261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.84/5.32 % (3016261)CaDiCaL version: 2.1.3
% 31.84/5.32 % (3016261)Termination reason: Instruction limit
% 31.84/5.32 % (3016261)Termination phase: Saturation
% 31.84/5.32 % (3016261)Time elapsed: 0.207 s
% 31.84/5.32 % (3016261)Peak memory usage: 88 MB
% 31.84/5.32 % (3016261)Instructions burned: 249 (million)
% 31.84/5.32 % (3016272)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=795237767:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 31.84/5.32 % (3016275)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2733142425:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 31.84/5.32 % (3016272)Instruction limit reached!
% 31.84/5.32 % (3016272)------------------------------
% 31.84/5.32 % (3016272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.84/5.32 % (3016272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.84/5.32 % (3016272)CaDiCaL version: 2.1.3
% 31.84/5.32 % (3016272)Termination reason: Instruction limit
% 31.84/5.32 % (3016272)Termination phase: Saturation
% 31.84/5.32 % (3016272)Time elapsed: 0.102 s
% 31.84/5.32 % (3016272)Peak memory usage: 88 MB
% 31.84/5.32 % (3016272)Instructions burned: 113 (million)
% 31.84/5.32 % (3016275)Instruction limit reached!
% 31.84/5.32 % (3016275)------------------------------
% 31.84/5.32 % (3016275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.84/5.32 % (3016275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.01/13.95 % (3016275)CaDiCaL version: 2.1.3
% 93.01/13.95 % (3016275)Termination reason: Instruction limit
% 93.01/13.95 % (3016275)Termination phase: Saturation
% 93.01/13.95 % (3016275)Time elapsed: 0.071 s
% 93.01/13.95 % (3016275)Peak memory usage: 88 MB
% 93.01/13.95 % (3016275)Instructions burned: 127 (million)
% 93.01/13.95 % (3016276)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2560863976:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 93.01/13.95 % (3016276)Instruction limit reached!
% 93.01/13.95 % (3016276)------------------------------
% 93.01/13.95 % (3016276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.01/13.95 % (3016276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.01/13.95 % (3016276)CaDiCaL version: 2.1.3
% 93.01/13.95 % (3016276)Termination reason: Instruction limit
% 93.01/13.95 % (3016276)Termination phase: Saturation
% 93.01/13.95 % (3016276)Time elapsed: 0.110 s
% 93.01/13.95 % (3016276)Peak memory usage: 88 MB
% 93.01/13.95 % (3016276)Instructions burned: 114 (million)
% 93.01/13.95 % (3016281)lrs+10_1_sil=8000:sp=occurrence:random_seed=3242102910:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 93.01/13.95 % (3016283)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=603925939:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 93.01/13.95 % (3016283)Refutation not found, incomplete strategy
% 93.01/13.95 % (3016283)------------------------------
% 93.01/13.95 % (3016283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.01/13.95 % (3016283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.01/13.95 % (3016283)CaDiCaL version: 2.1.3
% 93.01/13.95 % (3016283)Termination reason: Refutation not found, incomplete strategy
% 93.01/13.95 % (3016283)Time elapsed: 0.002 s
% 93.01/13.95 % (3016283)Peak memory usage: 88 MB
% 93.01/13.95 % (3016284)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2262930592:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 93.01/13.95 % (3016283)------------------------------
% 93.01/13.95 % (3016283)------------------------------
% 93.01/13.95 % (3016292)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3190306436:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 93.01/13.95 % (3016292)Instruction limit reached!
% 93.01/13.95 % (3016292)------------------------------
% 93.01/13.95 % (3016292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.01/13.95 % (3016292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.01/13.95 % (3016292)CaDiCaL version: 2.1.3
% 93.01/13.95 % (3016292)Termination reason: Instruction limit
% 93.01/13.95 % (3016292)Termination phase: Saturation
% 93.01/13.95 % (3016292)Time elapsed: 0.123 s
% 93.01/13.95 % (3016292)Peak memory usage: 88 MB
% 93.01/13.95 % (3016292)Instructions burned: 135 (million)
% 93.01/13.95 % (3016281)Instruction limit reached!
% 93.01/13.95 % (3016281)------------------------------
% 93.01/13.95 % (3016281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.01/13.95 % (3016281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.01/13.95 % (3016281)CaDiCaL version: 2.1.3
% 93.01/13.95 % (3016281)Termination reason: Instruction limit
% 93.01/13.95 % (3016281)Termination phase: Saturation
% 93.01/13.95 % (3016281)Time elapsed: 0.885 s
% 93.01/13.95 % (3016281)Peak memory usage: 97 MB
% 93.01/13.95 % (3016281)Instructions burned: 907 (million)
% 93.01/13.95 % (3016298)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1770660738:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 93.01/13.95 % (3016298)Refutation not found, incomplete strategy
% 93.01/13.95 % (3016298)------------------------------
% 93.01/13.95 % (3016298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.01/13.95 % (3016298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.01/13.95 % (3016298)CaDiCaL version: 2.1.3
% 93.01/13.95 % (3016298)Termination reason: Refutation not found, incomplete strategy
% 93.01/13.95 % (3016298)Time elapsed: 0.002 s
% 93.01/13.95 % (3016298)Peak memory usage: 88 MB
% 93.01/13.95 % (3016299)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=776655513:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 93.01/13.95 % (3016298)------------------------------
% 93.01/13.95 % (3016298)------------------------------
% 93.01/13.95 % (3016304)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=1813708804:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 46.94/15.43 % (3016304)Instruction limit reached!
% 46.94/15.43 % (3016304)------------------------------
% 46.94/15.43 % (3016304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.94/15.43 % (3016304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.94/15.43 % (3016304)CaDiCaL version: 2.1.3
% 46.94/15.43 % (3016304)Termination reason: Instruction limit
% 46.94/15.43 % (3016304)Termination phase: Saturation
% 46.94/15.43 % (3016304)Time elapsed: 0.105 s
% 46.94/15.43 % (3016304)Peak memory usage: 88 MB
% 46.94/15.43 % (3016304)Instructions burned: 125 (million)
% 46.94/15.43 % (3016306)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1589081264:i=134:gtgl=5:slsql=off:gtg=exists_sym_2967 on theBenchmark for (2967ds/134Mi)
% 46.94/15.43 % (3016270)Instruction limit reached!
% 46.94/15.43 % (3016270)------------------------------
% 46.94/15.43 % (3016270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.94/15.43 % (3016270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.94/15.43 % (3016270)CaDiCaL version: 2.1.3
% 46.94/15.43 % (3016270)Termination reason: Instruction limit
% 46.94/15.43 % (3016270)Termination phase: Saturation
% 46.94/15.43 % (3016270)Time elapsed: 2.434 s
% 46.94/15.43 % (3016270)Peak memory usage: 143 MB
% 46.94/15.43 % (3016270)Instructions burned: 2350 (million)
% 46.94/15.43 % (3016306)Instruction limit reached!
% 46.94/15.43 % (3016306)------------------------------
% 46.94/15.43 % (3016306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.94/15.43 % (3016306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.94/15.43 % (3016306)CaDiCaL version: 2.1.3
% 46.94/15.43 % (3016306)Termination reason: Instruction limit
% 46.94/15.43 % (3016306)Termination phase: Saturation
% 46.94/15.43 % (3016306)Time elapsed: 0.125 s
% 46.94/15.43 % (3016306)Peak memory usage: 89 MB
% 46.94/15.43 % (3016306)Instructions burned: 135 (million)
% 46.94/15.43 % (3016308)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=68894730:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/141Mi)
% 46.94/15.43 % (3016308)Refutation not found, incomplete strategy
% 46.94/15.43 % (3016308)------------------------------
% 46.94/15.43 % (3016308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.94/15.43 % (3016308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.94/15.43 % (3016308)CaDiCaL version: 2.1.3
% 46.94/15.43 % (3016308)Termination reason: Refutation not found, incomplete strategy
% 46.94/15.43 % (3016308)Time elapsed: 0.002 s
% 46.94/15.43 % (3016308)Peak memory usage: 88 MB
% 46.94/15.43 % (3016309)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4091274464:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2965 on theBenchmark for (2965ds/431Mi)
% 46.94/15.43 % (3016308)------------------------------
% 46.94/15.43 % (3016308)------------------------------
% 46.94/15.43 % (3016309)Instruction limit reached!
% 46.94/15.43 % (3016309)------------------------------
% 46.94/15.43 % (3016309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.94/15.43 % (3016309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.94/15.43 % (3016309)CaDiCaL version: 2.1.3
% 46.94/15.43 % (3016309)Termination reason: Instruction limit
% 46.94/15.43 % (3016309)Termination phase: Saturation
% 46.94/15.43 % (3016309)Time elapsed: 0.380 s
% 46.94/15.43 % (3016309)Peak memory usage: 91 MB
% 46.94/15.43 % (3016309)Instructions burned: 432 (million)
% 46.94/15.43 % (3016312)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=2932306604:i=6060:aac=none:ins=25_2959 on theBenchmark for (2959ds/6060Mi)
% 46.94/15.43 % (3016313)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=2587750248:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2958 on theBenchmark for (2958ds/150Mi)
% 46.94/15.43 % (3016313)Instruction limit reached!
% 46.94/15.43 % (3016313)------------------------------
% 46.94/15.43 % (3016313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.94/15.43 % (3016313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.94/15.43 % (3016313)CaDiCaL version: 2.1.3
% 46.94/15.43 % (3016313)Termination reason: Instruction limit
% 46.94/15.43 % (3016313)Termination phase: Saturation
% 46.94/15.43 % (3016313)Time elapsed: 0.138 s
% 46.94/15.43 % (3016313)Peak memory usage: 90 MB
% 46.94/15.43 % (3016313)Instructions burned: 150 (million)
% 46.94/15.43 % (3016318)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3021316082:i=14155:bd=all_2955 on theBenchmark for (2955ds/14155Mi)
% 46.94/15.43 % (3016284)Instruction limit reached!
% 46.94/15.43 % (3016284)------------------------------
% 46.94/15.43 % (3016284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.94/15.43 % (3016284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.94/15.43 % (3016284)CaDiCaL version: 2.1.3
% 46.94/15.43 % (3016284)Termination reason: Instruction limit
% 46.94/15.43 % (3016284)Termination phase: Saturation
% 46.94/15.43 % (3016284)Time elapsed: 5.303 s
% 46.94/15.43 % (3016284)Peak memory usage: 164 MB
% 46.94/15.43 % (3016284)Instructions burned: 5203 (million)
% 46.94/15.43 % (3016322)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1935776337:i=667:av=off:fsr=off_2930 on theBenchmark for (2930ds/667Mi)
% 46.94/15.43 % (3016322)Refutation not found, incomplete strategy
% 46.94/15.43 % (3016322)------------------------------
% 46.94/15.43 % (3016322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.94/15.43 % (3016322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.94/15.43 % (3016322)CaDiCaL version: 2.1.3
% 46.94/15.43 % (3016322)Termination reason: Refutation not found, incomplete strategy
% 46.94/15.43 % (3016322)Time elapsed: 0.001 s
% 46.94/15.43 % (3016322)Peak memory usage: 87 MB
% 46.94/15.43 % (3016322)------------------------------
% 46.94/15.43 % (3016322)------------------------------
% 46.94/15.43 % (3016324)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2950513117:s2a=on:i=185:s2at=1.8:fdi=4_2924 on theBenchmark for (2924ds/185Mi)
% 46.94/15.43 % (3016324)Instruction limit reached!
% 46.94/15.43 % (3016324)------------------------------
% 46.94/15.43 % (3016324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.94/15.43 % (3016324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.94/15.43 % (3016324)CaDiCaL version: 2.1.3
% 46.94/15.43 % (3016324)Termination reason: Instruction limit
% 46.94/15.43 % (3016324)Termination phase: Saturation
% 46.94/15.43 % (3016324)Time elapsed: 0.161 s
% 46.94/15.43 % (3016324)Peak memory usage: 89 MB
% 46.94/15.43 % (3016324)Instructions burned: 186 (million)
% 46.94/15.43 % (3016328)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3557780553:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2920 on theBenchmark for (2920ds/193Mi)
% 46.94/15.43 % (3016328)Refutation not found, incomplete strategy
% 46.94/15.43 % (3016328)------------------------------
% 46.94/15.43 % (3016328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.94/15.43 % (3016328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.94/15.43 % (3016328)CaDiCaL version: 2.1.3
% 46.94/15.43 % (3016328)Termination reason: Refutation not found, incomplete strategy
% 46.94/15.43 % (3016328)Time elapsed: 0.002 s
% 46.94/15.43 % (3016328)Peak memory usage: 88 MB
% 46.94/15.43 % (3016328)------------------------------
% 46.94/15.43 % (3016328)------------------------------
% 46.94/15.43 % (3016330)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2472095014:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2914 on theBenchmark for (2914ds/4850Mi)
% 46.94/15.43 % (3016312)Instruction limit reached!
% 46.94/15.43 % (3016312)------------------------------
% 46.94/15.43 % (3016312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.94/15.43 % (3016312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.94/15.43 % (3016312)CaDiCaL version: 2.1.3
% 46.94/15.43 % (3016312)Termination reason: Instruction limit
% 46.94/15.43 % (3016312)Termination phase: Saturation
% 46.94/15.43 % (3016312)Time elapsed: 5.766 s
% 46.94/15.43 % (3016312)Peak memory usage: 153 MB
% 46.94/15.43 % (3016312)Instructions burned: 6060 (million)
% 46.94/15.43 % (3016338)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1128347132:i=12111:sd=1:ss=included_2899 on theBenchmark for (2899ds/12111Mi)
% 46.94/15.43 % (3016330)Instruction limit reached!
% 46.94/15.43 % (3016330)------------------------------
% 46.94/15.43 % (3016330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.94/15.43 % (3016330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.94/15.43 % (3016330)CaDiCaL version: 2.1.3
% 46.94/15.43 % (3016330)Termination reason: Instruction limit
% 46.94/15.43 % (3016330)Termination phase: Saturation
% 46.94/15.43 % (3016330)Time elapsed: 4.265 s
% 46.94/15.43 % (3016330)Peak memory usage: 128 MB
% 46.94/15.43 % (3016330)Instructions burned: 4851 (million)
% 46.94/15.43 % (3016340)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2226288532:i=319:kws=precedence:fsr=off_2868 on theBenchmark for (2868ds/319Mi)
% 46.94/15.43 % (3016340)Instruction limit reached!
% 46.94/15.43 % (3016340)------------------------------
% 46.94/15.43 % (3016340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.94/15.43 % (3016340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.94/15.43 % (3016340)CaDiCaL version: 2.1.3
% 46.94/15.43 % (3016340)Termination reason: Instruction limit
% 46.94/15.43 % (3016340)Termination phase: Saturation
% 46.94/15.43 % (3016340)Time elapsed: 0.290 s
% 46.94/15.43 % (3016340)Peak memory usage: 92 MB
% 46.94/15.43 % (3016340)Instructions burned: 319 (million)
% 46.94/15.43 % (3016345)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1660864345:i=2064:ep=RST_2863 on theBenchmark for (2863ds/2064Mi)
% 46.94/15.43 % (3016345)Refutation not found, incomplete strategy
% 46.94/15.43 % (3016345)------------------------------
% 46.94/15.43 % (3016345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.94/15.43 % (3016345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.94/15.43 % (3016345)CaDiCaL version: 2.1.3
% 46.94/15.43 % (3016345)Termination reason: Refutation not found, incomplete strategy
% 46.94/15.43 % (3016345)Time elapsed: 0.002 s
% 46.94/15.43 % (3016345)Peak memory usage: 88 MB
% 46.94/15.43 % (3016223)First to succeed.
% 46.94/15.43 % (3016223)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3016156"
% 46.94/15.43 % (3016345)------------------------------
% 46.94/15.43 % (3016345)------------------------------
% 46.94/15.43 % (3016348)dis-1011_128_sil=32000:random_seed=1845881748:i=3706:ep=RST:av=off_2857 on theBenchmark for (2857ds/3706Mi)
% 46.94/15.43 % (3016223)Refutation found. Thanks to Tanya!
% 46.94/15.43 % SZS status Theorem for theBenchmark
% 46.94/15.43 % SZS output start Proof for theBenchmark
% See solution above
% 103.95/15.65 % (3016223)------------------------------
% 103.95/15.65 % (3016223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.95/15.65 % (3016223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.95/15.65 % (3016223)CaDiCaL version: 2.1.3
% 103.95/15.65 % (3016223)Termination reason: Refutation
% 103.95/15.65 % (3016223)Time elapsed: 13.841 s
% 103.95/15.65 % (3016223)Peak memory usage: 230 MB
% 103.95/15.65 % (3016223)Instructions burned: 13215 (million)
% 103.95/15.65 % (3016223)------------------------------
% 103.95/15.65 % (3016223)------------------------------
% 103.95/15.65 % (3016156)Success in time 14.567 s
% 103.95/15.65 % Vampire exiting
%------------------------------------------------------------------------------