%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN314-1.002.001 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:50:09 PM UTC 2026
% Result : Unsatisfiable 11.21s 2.25s
% Output : Refutation 11.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 108
% Number of leaves : 2
% Syntax : Number of formulae : 110 ( 4 unt; 0 def)
% Number of atoms : 486 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 782 ( 406 ~; 376 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 9 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-1 aty)
% Number of variables : 397 ( 397 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1] :
( p(X0,f2(X3),X2,g2(X2))
| p(X0,f1(X1),X3,g1(X2))
| p(X0,f0(X0),X1,g0(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p(h1(X0),X1,j1(X2),X3)
| ~ p(h0,X0,j0(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,plain,
! [X2,X3,X0,X1] :
( p(h1(X0),f0(h1(X0)),X1,g0(j1(X3)))
| p(h1(X0),f1(X1),X2,g1(j1(X3)))
| ~ p(h0,X0,j0(f2(X2)),X3) ),
inference(resolution,[],[f1,f2]) ).
fof(f4,plain,
! [X2,X3,X0,X1] :
( p(h1(X0),f1(j1(X1)),X2,g1(j1(X3)))
| ~ p(h0,X0,j0(f2(X2)),X3)
| ~ p(h0,X0,j0(f0(h1(X0))),X1) ),
inference(resolution,[],[f3,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,X0,j0(f2(j1(X1))),X2)
| ~ p(h0,X0,j0(f0(h1(X0))),X3)
| ~ p(h0,X0,j0(f1(j1(X3))),X1) ),
inference(resolution,[],[f4,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1] :
( p(h0,f0(h0),X3,g0(j0(f2(j1(X1)))))
| ~ p(h0,f2(X0),j0(f1(j1(X2))),X1)
| p(h0,f1(X3),X0,g1(j0(f2(j1(X1)))))
| ~ p(h0,f2(X0),j0(f0(h1(f2(X0)))),X2) ),
inference(resolution,[],[f5,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] :
( p(h0,f1(j0(f2(j1(X3)))),X0,g1(j0(f2(j1(X2)))))
| ~ p(h0,f2(X0),j0(f1(j1(X1))),X2)
| ~ p(h0,f2(X0),j0(f0(h1(f2(X0)))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X4)
| ~ p(h0,f0(h0),j0(f1(j1(X4))),X3) ),
inference(resolution,[],[f6,f5]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(h0,f2(j0(f2(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f2(j0(f2(j1(X0)))),j0(f0(h1(f2(j0(f2(j1(X0))))))),X1)
| ~ p(h0,f1(j0(f2(j1(X4)))),j0(f0(h1(f1(j0(f2(j1(X4))))))),X5)
| ~ p(h0,f1(j0(f2(j1(X4)))),j0(f1(j1(X5))),X0)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X3)
| ~ p(h0,f0(h0),j0(f1(j1(X3))),X4) ),
inference(resolution,[],[f7,f5]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X4,X5] :
( p(h0,f1(X5),j0(f2(j1(X0))),g1(j0(f1(j1(X1)))))
| ~ p(h0,f1(j0(f2(j1(X2)))),j0(f0(h1(f1(j0(f2(j1(X2))))))),X3)
| ~ p(h0,f1(j0(f2(j1(X2)))),j0(f1(j1(X3))),X0)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X4)
| ~ p(h0,f0(h0),j0(f1(j1(X4))),X2)
| ~ p(h0,f2(j0(f2(j1(X0)))),j0(f0(h1(f2(j0(f2(j1(X0))))))),X1)
| p(h0,f0(h0),X5,g0(j0(f1(j1(X1))))) ),
inference(resolution,[],[f9,f1]) ).
fof(f41,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p(h0,f0(h0),X5,g0(j0(f1(j1(X4)))))
| ~ p(h0,f1(j0(f2(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X3)
| ~ p(h0,f0(h0),j0(f1(j1(X3))),X0)
| ~ p(h0,f2(j0(f2(j1(X2)))),j0(f0(h1(f2(j0(f2(j1(X2))))))),X4)
| ~ p(h0,f1(j0(f2(j1(X0)))),j0(f0(h1(f1(j0(f2(j1(X0))))))),X1)
| ~ p(h0,f1(X5),j0(f0(h1(f1(X5)))),X6)
| ~ p(h0,f1(X5),j0(f1(j1(X6))),X2) ),
inference(resolution,[],[f15,f5]) ).
fof(f45,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ p(h0,f1(j0(f2(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X3)
| ~ p(h0,f0(h0),j0(f1(j1(X3))),X0)
| ~ p(h0,f2(j0(f2(j1(X2)))),j0(f0(h1(f2(j0(f2(j1(X2))))))),X4)
| ~ p(h0,f1(j0(f2(j1(X0)))),j0(f0(h1(f1(j0(f2(j1(X0))))))),X1)
| ~ p(h0,f1(j0(f2(j1(X5)))),j0(f0(h1(f1(j0(f2(j1(X5))))))),X6)
| ~ p(h0,f1(j0(f2(j1(X5)))),j0(f1(j1(X6))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X7)
| ~ p(h0,f0(h0),j0(f1(j1(X7))),X5) ),
inference(resolution,[],[f41,f5]) ).
fof(f47,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(h0,f1(j0(f2(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X3)
| ~ p(h0,f0(h0),j0(f1(j1(X3))),X0)
| ~ p(h0,f2(j0(f2(j1(X2)))),j0(f0(h1(f2(j0(f2(j1(X2))))))),X4)
| ~ p(h0,f1(j0(f2(j1(X0)))),j0(f0(h1(f1(j0(f2(j1(X0))))))),X1)
| ~ p(h0,f1(j0(f2(j1(X0)))),j0(f0(h1(f1(j0(f2(j1(X0))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X5)
| ~ p(h0,f0(h0),j0(f1(j1(X5))),X0) ),
inference(condensation,[],[f45]) ).
fof(f48,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(h0,f1(j0(f2(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X3)
| ~ p(h0,f0(h0),j0(f1(j1(X3))),X0)
| ~ p(h0,f2(j0(f2(j1(X2)))),j0(f0(h1(f2(j0(f2(j1(X2))))))),X4)
| ~ p(h0,f1(j0(f2(j1(X0)))),j0(f0(h1(f1(j0(f2(j1(X0))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X5)
| ~ p(h0,f0(h0),j0(f1(j1(X5))),X0) ),
inference(duplicate_literal_removal,[],[f47]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f1(j1(X2))),X3)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f2(j0(f2(j1(X3)))),j0(f0(h1(f2(j0(f2(j1(X3))))))),X4)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1) ),
inference(condensation,[],[f48]) ).
fof(f50,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(h0,f1(j0(f2(j1(X1)))),j0(f1(j1(X2))),X3)
| ~ p(h0,f2(j0(f2(j1(X3)))),j0(f0(h1(f2(j0(f2(j1(X3))))))),X4)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1) ),
inference(duplicate_literal_removal,[],[f49]) ).
fof(f52,plain,
! [X2,X3,X0,X1,X4] :
( p(h0,f1(X4),j0(f2(j1(X0))),g1(j0(f0(h1(f2(j0(f2(j1(X0)))))))))
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X3)
| ~ p(h0,f0(h0),j0(f1(j1(X3))),X1)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f1(j1(X2))),X0)
| p(h0,f0(h0),X4,g0(j0(f0(h1(f2(j0(f2(j1(X0))))))))) ),
inference(resolution,[],[f50,f1]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X4,X5] :
( p(h0,f0(h0),X4,g0(j0(f0(h1(f2(j0(f2(j1(X3)))))))))
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X2)
| ~ p(h0,f0(h0),j0(f1(j1(X2))),X0)
| ~ p(h0,f1(j0(f2(j1(X0)))),j0(f1(j1(X1))),X3)
| ~ p(h0,f1(j0(f2(j1(X0)))),j0(f0(h1(f1(j0(f2(j1(X0))))))),X1)
| ~ p(h0,f1(X4),j0(f0(h1(f1(X4)))),X5)
| ~ p(h0,f1(X4),j0(f1(j1(X5))),X3) ),
inference(resolution,[],[f52,f5]) ).
fof(f62,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f1(j1(X2))),X3)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f1(j0(f2(j1(X4)))),j0(f0(h1(f1(j0(f2(j1(X4))))))),X5)
| ~ p(h0,f1(j0(f2(j1(X4)))),j0(f1(j1(X5))),X3)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X6)
| ~ p(h0,f0(h0),j0(f1(j1(X6))),X4) ),
inference(resolution,[],[f60,f5]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f1(j1(X2))),X3)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f1(j0(f2(j1(X4)))),j0(f0(h1(f1(j0(f2(j1(X4))))))),X5)
| ~ p(h0,f1(j0(f2(j1(X4)))),j0(f1(j1(X5))),X3)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X4) ),
inference(condensation,[],[f62]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f1(j1(X2))),X3)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X4)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f1(j1(X4))),X3) ),
inference(condensation,[],[f64]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f1(j0(f2(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f0(h0),j0(f1(j1(X3))),X0)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X3)
| ~ p(h0,f1(j0(f2(j1(X0)))),j0(f0(h1(f1(j0(f2(j1(X0))))))),X1)
| ~ p(h0,f1(j0(f2(j1(X0)))),j0(f0(h1(f1(j0(f2(j1(X0))))))),X1) ),
inference(condensation,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f1(j0(f2(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f1(j0(f2(j1(X0)))),j0(f0(h1(f1(j0(f2(j1(X0))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X3)
| ~ p(h0,f0(h0),j0(f1(j1(X3))),X0) ),
inference(duplicate_literal_removal,[],[f66]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(h0,f1(j0(f2(j1(X0)))),j0(f0(h1(f1(j0(f2(j1(X0))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X3)
| ~ p(h0,f0(h0),j0(f1(j1(X3))),X0)
| ~ p(h0,f2(j0(f1(j1(X1)))),j0(f1(j1(X4))),X2)
| ~ p(h0,f2(j0(f1(j1(X1)))),j0(f0(h1(f2(j0(f1(j1(X1))))))),X4)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X5)
| ~ p(h0,f0(h0),j0(f1(j1(X5))),X0) ),
inference(resolution,[],[f67,f7]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f2(j0(f1(j1(X2)))),j0(f1(j1(X3))),X4)
| ~ p(h0,f2(j0(f1(j1(X2)))),j0(f0(h1(f2(j0(f1(j1(X2))))))),X3)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1) ),
inference(condensation,[],[f68]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f2(j0(f1(j1(X2)))),j0(f1(j1(X3))),X4)
| ~ p(h0,f2(j0(f1(j1(X2)))),j0(f0(h1(f2(j0(f1(j1(X2))))))),X3)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1) ),
inference(duplicate_literal_removal,[],[f72]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4] :
( p(h0,f1(X4),j0(f1(j1(X0))),g1(j0(f1(j1(X1)))))
| ~ p(h0,f2(j0(f1(j1(X0)))),j0(f0(h1(f2(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X3)
| ~ p(h0,f0(h0),j0(f1(j1(X3))),X2)
| ~ p(h0,f1(j0(f2(j1(X2)))),j0(f0(h1(f1(j0(f2(j1(X2))))))),X0)
| p(h0,f0(h0),X4,g0(j0(f1(j1(X1))))) ),
inference(resolution,[],[f73,f1]) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(h0,f2(j0(f1(j1(X0)))),j0(f0(h1(f2(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X2)
| ~ p(h0,f0(h0),j0(f1(j1(X2))),X3)
| ~ p(h0,f1(j0(f2(j1(X3)))),j0(f0(h1(f1(j0(f2(j1(X3))))))),X0)
| p(h0,f0(h0),j0(f2(j1(X4))),g0(j0(f1(j1(X1)))))
| ~ p(h0,f1(j0(f2(j1(X4)))),j0(f0(h1(f1(j0(f2(j1(X4))))))),X0)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X5)
| ~ p(h0,f0(h0),j0(f1(j1(X5))),X4) ),
inference(resolution,[],[f75,f67]) ).
fof(f81,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f1(j1(X1)))),j0(f0(h1(f2(j0(f1(j1(X1))))))),X2)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X3)
| ~ p(h0,f1(j0(f2(j1(X3)))),j0(f0(h1(f1(j0(f2(j1(X3))))))),X1)
| p(h0,f0(h0),j0(f2(j1(X4))),g0(j0(f1(j1(X2)))))
| ~ p(h0,f1(j0(f2(j1(X4)))),j0(f0(h1(f1(j0(f2(j1(X4))))))),X1)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X4) ),
inference(condensation,[],[f78]) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f1(j1(X2)))),j0(f0(h1(f2(j0(f1(j1(X2))))))),X3)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| p(h0,f0(h0),j0(f2(j1(X1))),g0(j0(f1(j1(X3)))))
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2) ),
inference(condensation,[],[f81]) ).
fof(f83,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f1(j1(X2)))),j0(f0(h1(f2(j0(f1(j1(X2))))))),X3)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| p(h0,f0(h0),j0(f2(j1(X1))),g0(j0(f1(j1(X3))))) ),
inference(duplicate_literal_removal,[],[f82]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f2(j0(f1(j1(X2)))),j0(f0(h1(f2(j0(f1(j1(X2))))))),X3)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0) ),
inference(forward_subsumption_resolution,[],[f83,f5]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( p(h0,f1(X3),j0(f1(j1(X0))),g1(j0(f0(h1(f2(j0(f1(j1(X0)))))))))
| ~ p(h0,f0(h0),j0(f1(j1(X2))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X2)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X0)
| p(h0,f0(h0),X3,g0(j0(f0(h1(f2(j0(f1(j1(X0))))))))) ),
inference(resolution,[],[f84,f1]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| p(h0,f0(h0),j0(f2(j1(X3))),g0(j0(f0(h1(f2(j0(f1(j1(X2)))))))))
| ~ p(h0,f1(j0(f2(j1(X3)))),j0(f0(h1(f1(j0(f2(j1(X3))))))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X4)
| ~ p(h0,f0(h0),j0(f1(j1(X4))),X3) ),
inference(resolution,[],[f85,f67]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| p(h0,f0(h0),j0(f2(j1(X1))),g0(j0(f0(h1(f2(j0(f1(j1(X2)))))))))
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0) ),
inference(condensation,[],[f89]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| p(h0,f0(h0),j0(f2(j1(X1))),g0(j0(f0(h1(f2(j0(f1(j1(X2))))))))) ),
inference(duplicate_literal_removal,[],[f91]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ p(h0,f1(j0(f2(j1(X1)))),j0(f0(h1(f1(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1) ),
inference(forward_subsumption_resolution,[],[f92,f5]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f2(j1(X1)))))))),j0(f1(j1(X2))),X3)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f2(j1(X1)))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f2(j1(X1))))))))))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X4)
| ~ p(h0,f0(h0),j0(f1(j1(X4))),X1) ),
inference(resolution,[],[f93,f7]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f2(j1(X1)))))))),j0(f1(j1(X2))),X3)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f2(j1(X1)))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f2(j1(X1))))))))))),X2)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1) ),
inference(condensation,[],[f94]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f2(j0(f0(h1(f1(j0(f2(j1(X1)))))))),j0(f1(j1(X2))),X3)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f2(j1(X1)))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f2(j1(X1))))))))))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1) ),
inference(duplicate_literal_removal,[],[f95]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( p(h0,f1(X3),j0(f0(h1(f1(j0(f2(j1(X0))))))),g1(j0(f1(j1(X1)))))
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X2)
| ~ p(h0,f0(h0),j0(f1(j1(X2))),X0)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f2(j1(X0)))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f2(j1(X0))))))))))),X1)
| p(h0,f0(h0),X3,g0(j0(f1(j1(X1))))) ),
inference(resolution,[],[f96,f1]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f2(j1(X1)))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f2(j1(X1))))))))))),X2)
| p(h0,f0(h0),j0(f2(j1(X1))),g0(j0(f1(j1(X2)))))
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X3)
| ~ p(h0,f0(h0),j0(f1(j1(X3))),X1) ),
inference(resolution,[],[f97,f93]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f2(j1(X1)))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f2(j1(X1))))))))))),X2)
| p(h0,f0(h0),j0(f2(j1(X1))),g0(j0(f1(j1(X2)))))
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1) ),
inference(condensation,[],[f98]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f2(j1(X1)))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f2(j1(X1))))))))))),X2)
| p(h0,f0(h0),j0(f2(j1(X1))),g0(j0(f1(j1(X2))))) ),
inference(duplicate_literal_removal,[],[f100]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ p(h0,f2(j0(f0(h1(f1(j0(f2(j1(X1)))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f2(j1(X1))))))))))),X2)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0) ),
inference(forward_subsumption_resolution,[],[f101,f5]) ).
fof(f104,plain,
! [X2,X0,X1] :
( p(h0,f1(X2),j0(f0(h1(f1(j0(f2(j1(X1))))))),g1(j0(f0(h1(f2(j0(f0(h1(f1(j0(f2(j1(X1)))))))))))))
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| p(h0,f0(h0),X2,g0(j0(f0(h1(f2(j0(f0(h1(f1(j0(f2(j1(X1))))))))))))) ),
inference(resolution,[],[f103,f1]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| p(h0,f0(h0),j0(f2(j1(X1))),g0(j0(f0(h1(f2(j0(f0(h1(f1(j0(f2(j1(X1)))))))))))))
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X2)
| ~ p(h0,f0(h0),j0(f1(j1(X2))),X1) ),
inference(resolution,[],[f104,f93]) ).
fof(f106,plain,
! [X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| p(h0,f0(h0),j0(f2(j1(X1))),g0(j0(f0(h1(f2(j0(f0(h1(f1(j0(f2(j1(X1)))))))))))))
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1) ),
inference(condensation,[],[f105]) ).
fof(f107,plain,
! [X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| p(h0,f0(h0),j0(f2(j1(X1))),g0(j0(f0(h1(f2(j0(f0(h1(f1(j0(f2(j1(X1))))))))))))) ),
inference(duplicate_literal_removal,[],[f106]) ).
fof(f108,plain,
! [X0,X1] :
( ~ p(h0,f0(h0),j0(f1(j1(X0))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0) ),
inference(forward_subsumption_resolution,[],[f107,f5]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( p(h0,f1(j0(f1(j1(X0)))),X1,g1(j0(f2(j1(X3)))))
| ~ p(h0,f2(X1),j0(f1(j1(X2))),X3)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(X1),j0(f0(h1(f2(X1)))),X2) ),
inference(resolution,[],[f108,f6]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(h0,f2(j0(f2(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f2(j0(f2(j1(X0)))),j0(f0(h1(f2(j0(f2(j1(X0))))))),X1)
| ~ p(h0,f1(j0(f1(j1(X3)))),j0(f0(h1(f1(j0(f1(j1(X3))))))),X4)
| ~ p(h0,f1(j0(f1(j1(X3)))),j0(f1(j1(X4))),X0)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X3) ),
inference(resolution,[],[f109,f5]) ).
fof(f121,plain,
! [X2,X3,X0,X1,X4] :
( p(h0,f1(X4),j0(f2(j1(X0))),g1(j0(f1(j1(X1)))))
| ~ p(h0,f1(j0(f1(j1(X2)))),j0(f0(h1(f1(j0(f1(j1(X2))))))),X3)
| ~ p(h0,f1(j0(f1(j1(X2)))),j0(f1(j1(X3))),X0)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X2)
| ~ p(h0,f2(j0(f2(j1(X0)))),j0(f0(h1(f2(j0(f2(j1(X0))))))),X1)
| p(h0,f0(h0),X4,g0(j0(f1(j1(X1))))) ),
inference(resolution,[],[f114,f1]) ).
fof(f132,plain,
! [X2,X3,X0,X1,X4,X5] :
( p(h0,f0(h0),X4,g0(j0(f1(j1(X3)))))
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f2(j1(X2)))),j0(f0(h1(f2(j0(f2(j1(X2))))))),X3)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f1(X4),j0(f0(h1(f1(X4)))),X5)
| ~ p(h0,f1(X4),j0(f1(j1(X5))),X2) ),
inference(resolution,[],[f121,f5]) ).
fof(f135,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(h0,f1(j0(f1(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f2(j1(X2)))),j0(f0(h1(f2(j0(f2(j1(X2))))))),X3)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f1(j0(f1(j1(X4)))),j0(f0(h1(f1(j0(f1(j1(X4))))))),X5)
| ~ p(h0,f1(j0(f1(j1(X4)))),j0(f1(j1(X5))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X4) ),
inference(resolution,[],[f132,f108]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f1(j0(f1(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f2(j1(X2)))),j0(f0(h1(f2(j0(f2(j1(X2))))))),X3)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0) ),
inference(condensation,[],[f135]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f1(j0(f1(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f2(j0(f2(j1(X2)))),j0(f0(h1(f2(j0(f2(j1(X2))))))),X3)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0) ),
inference(duplicate_literal_removal,[],[f140]) ).
fof(f143,plain,
! [X2,X3,X0,X1] :
( p(h0,f1(X3),j0(f2(j1(X0))),g1(j0(f0(h1(f2(j0(f2(j1(X0)))))))))
| ~ p(h0,f1(j0(f1(j1(X1)))),j0(f0(h1(f1(j0(f1(j1(X1))))))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X1)
| ~ p(h0,f1(j0(f1(j1(X1)))),j0(f1(j1(X2))),X0)
| p(h0,f0(h0),X3,g0(j0(f0(h1(f2(j0(f2(j1(X0))))))))) ),
inference(resolution,[],[f141,f1]) ).
fof(f148,plain,
! [X2,X3,X0,X1,X4] :
( p(h0,f0(h0),X3,g0(j0(f0(h1(f2(j0(f2(j1(X2)))))))))
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f1(X3),j0(f0(h1(f1(X3)))),X4)
| ~ p(h0,f1(X3),j0(f1(j1(X4))),X2) ),
inference(resolution,[],[f143,f5]) ).
fof(f150,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f1(j0(f1(j1(X3)))),j0(f0(h1(f1(j0(f1(j1(X3))))))),X4)
| ~ p(h0,f1(j0(f1(j1(X3)))),j0(f1(j1(X4))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X3) ),
inference(resolution,[],[f148,f108]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X3)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f1(j1(X3))),X2) ),
inference(condensation,[],[f150]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ p(h0,f1(j0(f1(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1) ),
inference(condensation,[],[f156]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ p(h0,f1(j0(f1(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0) ),
inference(duplicate_literal_removal,[],[f157]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f1(j1(X1)))),j0(f1(j1(X3))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f1(j1(X1)))),j0(f0(h1(f2(j0(f1(j1(X1))))))),X3) ),
inference(resolution,[],[f158,f109]) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f2(j0(f1(j1(X1)))),j0(f1(j1(X3))),X2)
| ~ p(h0,f2(j0(f1(j1(X1)))),j0(f0(h1(f2(j0(f1(j1(X1))))))),X3)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0) ),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( p(h0,f1(X3),j0(f1(j1(X0))),g1(j0(f1(j1(X1)))))
| ~ p(h0,f2(j0(f1(j1(X0)))),j0(f0(h1(f2(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X2)
| ~ p(h0,f1(j0(f1(j1(X2)))),j0(f0(h1(f1(j0(f1(j1(X2))))))),X0)
| p(h0,f0(h0),X3,g0(j0(f1(j1(X1))))) ),
inference(resolution,[],[f162,f1]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f2(j0(f1(j1(X0)))),j0(f0(h1(f2(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X2)
| ~ p(h0,f1(j0(f1(j1(X2)))),j0(f0(h1(f1(j0(f1(j1(X2))))))),X0)
| p(h0,f0(h0),j0(f1(j1(X3))),g0(j0(f1(j1(X1)))))
| ~ p(h0,f1(j0(f1(j1(X3)))),j0(f0(h1(f1(j0(f1(j1(X3))))))),X0)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X3) ),
inference(resolution,[],[f164,f158]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f1(j1(X1)))),j0(f0(h1(f2(j0(f1(j1(X1))))))),X2)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| p(h0,f0(h0),j0(f1(j1(X0))),g0(j0(f1(j1(X2)))))
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1) ),
inference(condensation,[],[f166]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f1(j1(X1)))),j0(f0(h1(f2(j0(f1(j1(X1))))))),X2)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| p(h0,f0(h0),j0(f1(j1(X0))),g0(j0(f1(j1(X2))))) ),
inference(duplicate_literal_removal,[],[f168]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ p(h0,f2(j0(f1(j1(X1)))),j0(f0(h1(f2(j0(f1(j1(X1))))))),X2)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0) ),
inference(forward_subsumption_resolution,[],[f169,f108]) ).
fof(f171,plain,
! [X2,X0,X1] :
( p(h0,f1(X2),j0(f1(j1(X0))),g1(j0(f0(h1(f2(j0(f1(j1(X0)))))))))
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X1)
| ~ p(h0,f1(j0(f1(j1(X1)))),j0(f0(h1(f1(j0(f1(j1(X1))))))),X0)
| p(h0,f0(h0),X2,g0(j0(f0(h1(f2(j0(f1(j1(X0))))))))) ),
inference(resolution,[],[f170,f1]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| p(h0,f0(h0),j0(f1(j1(X2))),g0(j0(f0(h1(f2(j0(f1(j1(X1)))))))))
| ~ p(h0,f1(j0(f1(j1(X2)))),j0(f0(h1(f1(j0(f1(j1(X2))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X2) ),
inference(resolution,[],[f171,f158]) ).
fof(f175,plain,
! [X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| p(h0,f0(h0),j0(f1(j1(X0))),g0(j0(f0(h1(f2(j0(f1(j1(X1)))))))))
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1) ),
inference(condensation,[],[f174]) ).
fof(f176,plain,
! [X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| p(h0,f0(h0),j0(f1(j1(X0))),g0(j0(f0(h1(f2(j0(f1(j1(X1))))))))) ),
inference(duplicate_literal_removal,[],[f175]) ).
fof(f177,plain,
! [X0,X1] :
( ~ p(h0,f1(j0(f1(j1(X0)))),j0(f0(h1(f1(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0) ),
inference(forward_subsumption_resolution,[],[f176,f108]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f1(j1(X0)))))))),j0(f1(j1(X1))),X2)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f1(j1(X0)))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f1(j1(X0))))))))))),X1) ),
inference(resolution,[],[f177,f109]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ p(h0,f2(j0(f0(h1(f1(j0(f1(j1(X0)))))))),j0(f1(j1(X1))),X2)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f1(j1(X0)))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f1(j1(X0))))))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0) ),
inference(duplicate_literal_removal,[],[f178]) ).
fof(f180,plain,
! [X2,X0,X1] :
( p(h0,f1(X2),j0(f0(h1(f1(j0(f1(j1(X0))))))),g1(j0(f1(j1(X1)))))
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f1(j1(X0)))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f1(j1(X0))))))))))),X1)
| p(h0,f0(h0),X2,g0(j0(f1(j1(X1))))) ),
inference(resolution,[],[f179,f1]) ).
fof(f181,plain,
! [X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f1(j1(X0)))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f1(j1(X0))))))))))),X1)
| p(h0,f0(h0),j0(f1(j1(X0))),g0(j0(f1(j1(X1)))))
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0) ),
inference(resolution,[],[f180,f177]) ).
fof(f183,plain,
! [X0,X1] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f1(j1(X0)))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f1(j1(X0))))))))))),X1)
| p(h0,f0(h0),j0(f1(j1(X0))),g0(j0(f1(j1(X1))))) ),
inference(duplicate_literal_removal,[],[f181]) ).
fof(f185,plain,
! [X0,X1] :
( ~ p(h0,f2(j0(f0(h1(f1(j0(f1(j1(X0)))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f1(j1(X0))))))))))),X1)
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0) ),
inference(forward_subsumption_resolution,[],[f183,f108]) ).
fof(f186,plain,
! [X0,X1] :
( p(h0,f1(X1),j0(f0(h1(f1(j0(f1(j1(X0))))))),g1(j0(f0(h1(f2(j0(f0(h1(f1(j0(f1(j1(X0)))))))))))))
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| p(h0,f0(h0),X1,g0(j0(f0(h1(f2(j0(f0(h1(f1(j0(f1(j1(X0))))))))))))) ),
inference(resolution,[],[f185,f1]) ).
fof(f187,plain,
! [X0] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| p(h0,f0(h0),j0(f1(j1(X0))),g0(j0(f0(h1(f2(j0(f0(h1(f1(j0(f1(j1(X0)))))))))))))
| ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0) ),
inference(resolution,[],[f186,f177]) ).
fof(f188,plain,
! [X0] :
( ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0)
| p(h0,f0(h0),j0(f1(j1(X0))),g0(j0(f0(h1(f2(j0(f0(h1(f1(j0(f1(j1(X0))))))))))))) ),
inference(duplicate_literal_removal,[],[f187]) ).
fof(f189,plain,
! [X0] : ~ p(h0,f0(h0),j0(f0(h1(f0(h0)))),X0),
inference(forward_subsumption_resolution,[],[f188,f108]) ).
fof(f190,plain,
! [X2,X0,X1] :
( p(h0,f1(j0(f0(h1(f0(h0))))),X0,g1(j0(f2(j1(X2)))))
| ~ p(h0,f2(X0),j0(f1(j1(X1))),X2)
| ~ p(h0,f2(X0),j0(f0(h1(f2(X0)))),X1) ),
inference(resolution,[],[f189,f6]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f2(j0(f2(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f2(j0(f2(j1(X0)))),j0(f0(h1(f2(j0(f2(j1(X0))))))),X1)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X3)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f1(j1(X3))),X0) ),
inference(resolution,[],[f190,f5]) ).
fof(f193,plain,
! [X2,X3,X0,X1] :
( p(h0,f1(X3),j0(f2(j1(X0))),g1(j0(f1(j1(X1)))))
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X2)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f1(j1(X2))),X0)
| ~ p(h0,f2(j0(f2(j1(X0)))),j0(f0(h1(f2(j0(f2(j1(X0))))))),X1)
| p(h0,f0(h0),X3,g0(j0(f1(j1(X1))))) ),
inference(resolution,[],[f191,f1]) ).
fof(f195,plain,
! [X2,X3,X0,X1,X4] :
( p(h0,f0(h0),X3,g0(j0(f1(j1(X2)))))
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f1(j1(X0))),X1)
| ~ p(h0,f2(j0(f2(j1(X1)))),j0(f0(h1(f2(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0)
| ~ p(h0,f1(X3),j0(f0(h1(f1(X3)))),X4)
| ~ p(h0,f1(X3),j0(f1(j1(X4))),X1) ),
inference(resolution,[],[f193,f5]) ).
fof(f196,plain,
! [X2,X3,X0,X1] :
( ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f1(j1(X0))),X1)
| ~ p(h0,f2(j0(f2(j1(X1)))),j0(f0(h1(f2(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X3)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f1(j1(X3))),X1) ),
inference(resolution,[],[f195,f189]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f1(j1(X0))),X1)
| ~ p(h0,f2(j0(f2(j1(X1)))),j0(f0(h1(f2(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0) ),
inference(condensation,[],[f196]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ p(h0,f2(j0(f2(j1(X1)))),j0(f0(h1(f2(j0(f2(j1(X1))))))),X2)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f1(j1(X0))),X1)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0) ),
inference(duplicate_literal_removal,[],[f199]) ).
fof(f201,plain,
! [X2,X0,X1] :
( p(h0,f1(X2),j0(f2(j1(X1))),g1(j0(f0(h1(f2(j0(f2(j1(X1)))))))))
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f1(j1(X0))),X1)
| p(h0,f0(h0),X2,g0(j0(f0(h1(f2(j0(f2(j1(X1))))))))) ),
inference(resolution,[],[f200,f1]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( p(h0,f0(h0),X2,g0(j0(f0(h1(f2(j0(f2(j1(X1)))))))))
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f1(j1(X0))),X1)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0)
| ~ p(h0,f1(X2),j0(f0(h1(f1(X2)))),X3)
| ~ p(h0,f1(X2),j0(f1(j1(X3))),X1) ),
inference(resolution,[],[f201,f5]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f1(j1(X0))),X1)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X2)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f1(j1(X2))),X1) ),
inference(resolution,[],[f202,f189]) ).
fof(f206,plain,
! [X0,X1] :
( ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f1(j1(X0))),X1)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0) ),
inference(condensation,[],[f203]) ).
fof(f207,plain,
! [X0,X1] :
( ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f1(j1(X0))),X1)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0) ),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ p(h0,f2(j0(f1(j1(X0)))),j0(f1(j1(X1))),X2)
| ~ p(h0,f2(j0(f1(j1(X0)))),j0(f0(h1(f2(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0) ),
inference(resolution,[],[f207,f190]) ).
fof(f209,plain,
! [X2,X0,X1] :
( p(h0,f1(X2),j0(f1(j1(X0))),g1(j0(f1(j1(X1)))))
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0)
| ~ p(h0,f2(j0(f1(j1(X0)))),j0(f0(h1(f2(j0(f1(j1(X0))))))),X1)
| p(h0,f0(h0),X2,g0(j0(f1(j1(X1))))) ),
inference(resolution,[],[f208,f1]) ).
fof(f210,plain,
! [X0,X1] :
( ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0)
| ~ p(h0,f2(j0(f1(j1(X0)))),j0(f0(h1(f2(j0(f1(j1(X0))))))),X1)
| p(h0,f0(h0),j0(f0(h1(f0(h0)))),g0(j0(f1(j1(X1)))))
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0) ),
inference(resolution,[],[f209,f207]) ).
fof(f212,plain,
! [X0,X1] :
( ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0)
| ~ p(h0,f2(j0(f1(j1(X0)))),j0(f0(h1(f2(j0(f1(j1(X0))))))),X1)
| p(h0,f0(h0),j0(f0(h1(f0(h0)))),g0(j0(f1(j1(X1))))) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f213,plain,
! [X0,X1] :
( ~ p(h0,f2(j0(f1(j1(X0)))),j0(f0(h1(f2(j0(f1(j1(X0))))))),X1)
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0) ),
inference(forward_subsumption_resolution,[],[f212,f189]) ).
fof(f214,plain,
! [X0,X1] :
( p(h0,f1(X1),j0(f1(j1(X0))),g1(j0(f0(h1(f2(j0(f1(j1(X0)))))))))
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0)
| p(h0,f0(h0),X1,g0(j0(f0(h1(f2(j0(f1(j1(X0))))))))) ),
inference(resolution,[],[f213,f1]) ).
fof(f215,plain,
! [X0] :
( ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0)
| p(h0,f0(h0),j0(f0(h1(f0(h0)))),g0(j0(f0(h1(f2(j0(f1(j1(X0)))))))))
| ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0) ),
inference(resolution,[],[f214,f207]) ).
fof(f216,plain,
! [X0] :
( ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0)
| p(h0,f0(h0),j0(f0(h1(f0(h0)))),g0(j0(f0(h1(f2(j0(f1(j1(X0))))))))) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f217,plain,
! [X0] : ~ p(h0,f1(j0(f0(h1(f0(h0))))),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),X0),
inference(forward_subsumption_resolution,[],[f216,f189]) ).
fof(f218,plain,
! [X0,X1] :
( ~ p(h0,f2(j0(f0(h1(f1(j0(f0(h1(f0(h0))))))))),j0(f1(j1(X0))),X1)
| ~ p(h0,f2(j0(f0(h1(f1(j0(f0(h1(f0(h0))))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))))))),X0) ),
inference(resolution,[],[f217,f190]) ).
fof(f219,plain,
! [X0,X1] :
( p(h0,f1(X1),j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))),g1(j0(f1(j1(X0)))))
| ~ p(h0,f2(j0(f0(h1(f1(j0(f0(h1(f0(h0))))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))))))),X0)
| p(h0,f0(h0),X1,g0(j0(f1(j1(X0))))) ),
inference(resolution,[],[f218,f1]) ).
fof(f220,plain,
! [X0] :
( ~ p(h0,f2(j0(f0(h1(f1(j0(f0(h1(f0(h0))))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))))))),X0)
| p(h0,f0(h0),j0(f0(h1(f0(h0)))),g0(j0(f1(j1(X0))))) ),
inference(resolution,[],[f219,f217]) ).
fof(f221,plain,
! [X0] : ~ p(h0,f2(j0(f0(h1(f1(j0(f0(h1(f0(h0))))))))),j0(f0(h1(f2(j0(f0(h1(f1(j0(f0(h1(f0(h0)))))))))))),X0),
inference(forward_subsumption_resolution,[],[f220,f189]) ).
fof(f222,plain,
$false,
inference(unit_resulting_resolution,[],[f1,f189,f217,f221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN314-1.002.001 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:41:03 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 6.01/1.80 % (4107575)Input is clausal, will run a generic CNF schedule.
% 6.01/1.80 % (4107586)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2426554317:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.01/1.80 % (4107586)Instruction limit reached!
% 6.01/1.80 % (4107586)------------------------------
% 6.01/1.80 % (4107586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.80 % (4107586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.80 % (4107586)CaDiCaL version: 2.1.3
% 6.01/1.80 % (4107586)Termination reason: Instruction limit
% 6.01/1.80 % (4107586)Termination phase: Saturation
% 6.01/1.80 % (4107586)Time elapsed: 0.034 s
% 6.01/1.80 % (4107586)Peak memory usage: 88 MB
% 6.01/1.80 % (4107586)Instructions burned: 186 (million)
% 6.01/1.80 % (4107582)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1985870597:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.01/1.80 % (4107585)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1448890086:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.01/1.80 % (4107584)lrs+10_1_sil=8000:sp=occurrence:random_seed=1782602529:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.01/1.80 % (4107581)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=1129559056:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.01/1.80 % (4107583)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=17884796:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.01/1.80 % (4107587)dis-21_1_sil=8000:lcm=predicate:random_seed=31287383:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.01/1.80 % (4107585)Instruction limit reached!
% 6.01/1.80 % (4107585)------------------------------
% 6.01/1.80 % (4107585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.80 % (4107585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.80 % (4107585)CaDiCaL version: 2.1.3
% 6.01/1.80 % (4107585)Termination reason: Instruction limit
% 6.01/1.80 % (4107585)Termination phase: Saturation
% 6.01/1.80 % (4107585)Time elapsed: 0.045 s
% 6.01/1.80 % (4107585)Peak memory usage: 87 MB
% 6.01/1.80 % (4107585)Instructions burned: 117 (million)
% 6.01/1.80 % (4107584)Instruction limit reached!
% 6.01/1.80 % (4107584)------------------------------
% 6.01/1.80 % (4107584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.80 % (4107584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.80 % (4107584)CaDiCaL version: 2.1.3
% 6.01/1.80 % (4107584)Termination reason: Instruction limit
% 6.01/1.80 % (4107584)Termination phase: Saturation
% 6.01/1.80 % (4107584)Time elapsed: 0.060 s
% 6.01/1.80 % (4107584)Peak memory usage: 88 MB
% 6.01/1.80 % (4107584)Instructions burned: 108 (million)
% 6.01/1.80 % (4107587)Instruction limit reached!
% 6.01/1.80 % (4107587)------------------------------
% 6.01/1.80 % (4107587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.80 % (4107587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.80 % (4107587)CaDiCaL version: 2.1.3
% 6.01/1.80 % (4107587)Termination reason: Instruction limit
% 6.01/1.80 % (4107587)Termination phase: Saturation
% 6.01/1.80 % (4107587)Time elapsed: 0.062 s
% 6.01/1.80 % (4107587)Peak memory usage: 88 MB
% 6.01/1.80 % (4107587)Instructions burned: 118 (million)
% 6.01/1.80 % (4107594)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2502462083:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.01/1.80 % (4107594)Refutation not found, incomplete strategy
% 6.01/1.80 % (4107594)------------------------------
% 6.01/1.80 % (4107594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.80 % (4107594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.80 % (4107594)CaDiCaL version: 2.1.3
% 6.01/1.80 % (4107594)Termination reason: Refutation not found, incomplete strategy
% 6.01/1.80 % (4107594)Time elapsed: 0.004 s
% 6.01/1.80 % (4107594)Peak memory usage: 87 MB
% 6.01/1.80 % (4107594)Instructions burned: 13 (million)
% 6.01/1.80 % (4107597)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1543790881:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.21/2.25 % (4107596)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4125630245:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.21/2.25 % (4107596)Refutation not found, incomplete strategy
% 11.21/2.25 % (4107596)------------------------------
% 11.21/2.25 % (4107596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107596)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107596)Termination reason: Refutation not found, incomplete strategy
% 11.21/2.25 % (4107596)Time elapsed: 0.001 s
% 11.21/2.25 % (4107596)Peak memory usage: 87 MB
% 11.21/2.25 % (4107598)lrs+10_64_to=lpo:sil=8000:random_seed=2417558063:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.21/2.25 % (4107594)------------------------------
% 11.21/2.25 % (4107594)------------------------------
% 11.21/2.25 % (4107597)Instruction limit reached!
% 11.21/2.25 % (4107597)------------------------------
% 11.21/2.25 % (4107597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107597)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107597)Termination reason: Instruction limit
% 11.21/2.25 % (4107597)Termination phase: Saturation
% 11.21/2.25 % (4107597)Time elapsed: 0.074 s
% 11.21/2.25 % (4107597)Peak memory usage: 87 MB
% 11.21/2.25 % (4107597)Instructions burned: 219 (million)
% 11.21/2.25 % (4107598)Instruction limit reached!
% 11.21/2.25 % (4107598)------------------------------
% 11.21/2.25 % (4107598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107598)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107598)Termination reason: Instruction limit
% 11.21/2.25 % (4107598)Termination phase: Saturation
% 11.21/2.25 % (4107598)Time elapsed: 0.062 s
% 11.21/2.25 % (4107598)Peak memory usage: 88 MB
% 11.21/2.25 % (4107598)Instructions burned: 128 (million)
% 11.21/2.25 % (4107603)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3481138776:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.21/2.25 % (4107603)Instruction limit reached!
% 11.21/2.25 % (4107603)------------------------------
% 11.21/2.25 % (4107603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107603)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107603)Termination reason: Instruction limit
% 11.21/2.25 % (4107603)Termination phase: Saturation
% 11.21/2.25 % (4107603)Time elapsed: 0.034 s
% 11.21/2.25 % (4107603)Peak memory usage: 87 MB
% 11.21/2.25 % (4107603)Instructions burned: 199 (million)
% 11.21/2.25 % (4107604)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2392528903:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 11.21/2.25 % (4107596)------------------------------
% 11.21/2.25 % (4107596)------------------------------
% 11.21/2.25 % (4107605)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1036842100:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 11.21/2.25 % (4107604)Instruction limit reached!
% 11.21/2.25 % (4107604)------------------------------
% 11.21/2.25 % (4107604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107604)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107604)Termination reason: Instruction limit
% 11.21/2.25 % (4107604)Termination phase: Saturation
% 11.21/2.25 % (4107604)Time elapsed: 0.089 s
% 11.21/2.25 % (4107604)Peak memory usage: 89 MB
% 11.21/2.25 % (4107604)Instructions burned: 157 (million)
% 11.21/2.25 % (4107608)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2455559263:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 11.21/2.25 % (4107608)Refutation not found, incomplete strategy
% 11.21/2.25 % (4107608)------------------------------
% 11.21/2.25 % (4107608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107608)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107608)Termination reason: Refutation not found, incomplete strategy
% 11.21/2.25 % (4107608)Time elapsed: 0.0000 s
% 11.21/2.25 % (4107608)Peak memory usage: 87 MB
% 11.21/2.25 % (4107582)Refutation not found, incomplete strategy
% 11.21/2.25 % (4107582)------------------------------
% 11.21/2.25 % (4107582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107582)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107582)Termination reason: Refutation not found, incomplete strategy
% 11.21/2.25 % (4107582)Time elapsed: 0.573 s
% 11.21/2.25 % (4107582)Peak memory usage: 124 MB
% 11.21/2.25 % (4107582)Instructions burned: 852 (million)
% 11.21/2.25 % (4107609)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=474504138:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.21/2.25 % (4107611)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1914550485:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 11.21/2.25 % (4107609)Instruction limit reached!
% 11.21/2.25 % (4107609)------------------------------
% 11.21/2.25 % (4107609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107609)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107609)Termination reason: Instruction limit
% 11.21/2.25 % (4107609)Termination phase: Saturation
% 11.21/2.25 % (4107609)Time elapsed: 0.060 s
% 11.21/2.25 % (4107609)Peak memory usage: 88 MB
% 11.21/2.25 % (4107609)Instructions burned: 108 (million)
% 11.21/2.25 % (4107608)------------------------------
% 11.21/2.25 % (4107608)------------------------------
% 11.21/2.25 % (4107583)Refutation not found, incomplete strategy
% 11.21/2.25 % (4107583)------------------------------
% 11.21/2.25 % (4107583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107583)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107583)Termination reason: Refutation not found, incomplete strategy
% 11.21/2.25 % (4107583)Time elapsed: 0.701 s
% 11.21/2.25 % (4107583)Peak memory usage: 127 MB
% 11.21/2.25 % (4107583)Instructions burned: 1052 (million)
% 11.21/2.25 % (4107611)Instruction limit reached!
% 11.21/2.25 % (4107611)------------------------------
% 11.21/2.25 % (4107611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107611)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107611)Termination reason: Instruction limit
% 11.21/2.25 % (4107611)Termination phase: Saturation
% 11.21/2.25 % (4107611)Time elapsed: 0.078 s
% 11.21/2.25 % (4107611)Peak memory usage: 87 MB
% 11.21/2.25 % (4107611)Instructions burned: 248 (million)
% 11.21/2.25 % (4107616)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4211771586:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 11.21/2.25 % (4107582)------------------------------
% 11.21/2.25 % (4107582)------------------------------
% 11.21/2.25 % (4107616)Instruction limit reached!
% 11.21/2.25 % (4107616)------------------------------
% 11.21/2.25 % (4107616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107616)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107616)Termination reason: Instruction limit
% 11.21/2.25 % (4107616)Termination phase: Saturation
% 11.21/2.25 % (4107616)Time elapsed: 0.025 s
% 11.21/2.25 % (4107616)Peak memory usage: 88 MB
% 11.21/2.25 % (4107616)Instructions burned: 140 (million)
% 11.21/2.25 % (4107615)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3001630018:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 11.21/2.25 % (4107617)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=795716614:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 11.21/2.25 % (4107583)------------------------------
% 11.21/2.25 % (4107583)------------------------------
% 11.21/2.25 % (4107620)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2952612527:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 11.21/2.25 % (4107619)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2625956012:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 11.21/2.25 % (4107620)Instruction limit reached!
% 11.21/2.25 % (4107620)------------------------------
% 11.21/2.25 % (4107620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107620)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107620)Termination reason: Instruction limit
% 11.21/2.25 % (4107620)Termination phase: Saturation
% 11.21/2.25 % (4107620)Time elapsed: 0.073 s
% 11.21/2.25 % (4107620)Peak memory usage: 91 MB
% 11.21/2.25 % (4107620)Instructions burned: 264 (million)
% 11.21/2.25 % (4107619)Instruction limit reached!
% 11.21/2.25 % (4107619)------------------------------
% 11.21/2.25 % (4107619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107619)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107619)Termination reason: Instruction limit
% 11.21/2.25 % (4107619)Termination phase: Saturation
% 11.21/2.25 % (4107619)Time elapsed: 0.092 s
% 11.21/2.25 % (4107619)Peak memory usage: 88 MB
% 11.21/2.25 % (4107619)Instructions burned: 191 (million)
% 11.21/2.25 % (4107625)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=804346219:cond=on:i=156:bs=on:gtg=exists_all:er=known_2988 on theBenchmark for (2988ds/156Mi)
% 11.21/2.25 % (4107617)Instruction limit reached!
% 11.21/2.25 % (4107617)------------------------------
% 11.21/2.25 % (4107617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107617)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107617)Termination reason: Instruction limit
% 11.21/2.25 % (4107617)Termination phase: Saturation
% 11.21/2.25 % (4107617)Time elapsed: 0.231 s
% 11.21/2.25 % (4107617)Peak memory usage: 91 MB
% 11.21/2.25 % (4107617)Instructions burned: 500 (million)
% 11.21/2.25 % (4107625)First to succeed.
% 11.21/2.25 % (4107625)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4107575"
% 11.21/2.25 % (4107626)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3965825277:i=3256:kws=precedence:bd=preordered:av=off_2987 on theBenchmark for (2987ds/3256Mi)
% 11.21/2.25 % (4107627)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=623137420:i=537:av=off:ss=included_2987 on theBenchmark for (2987ds/537Mi)
% 11.21/2.25 % (4107627)Refutation not found, incomplete strategy
% 11.21/2.25 % (4107627)------------------------------
% 11.21/2.25 % (4107627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107627)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107627)Termination reason: Refutation not found, incomplete strategy
% 11.21/2.25 % (4107627)Time elapsed: 0.012 s
% 11.21/2.25 % (4107627)Peak memory usage: 88 MB
% 11.21/2.25 % (4107627)Instructions burned: 23 (million)
% 11.21/2.25 % (4107629)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=4133709027:i=180:bd=preordered:av=off_2986 on theBenchmark for (2986ds/180Mi)
% 11.21/2.25 % (4107629)Refutation not found, incomplete strategy
% 11.21/2.25 % (4107629)------------------------------
% 11.21/2.25 % (4107629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.25 % (4107629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.25 % (4107629)CaDiCaL version: 2.1.3
% 11.21/2.25 % (4107629)Termination reason: Refutation not found, incomplete strategy
% 11.21/2.25 % (4107629)Time elapsed: 0.007 s
% 11.21/2.25 % (4107629)Peak memory usage: 87 MB
% 11.21/2.25 % (4107629)Instructions burned: 12 (million)
% 11.21/2.25 % (4107625)Refutation found. Thanks to Tanya!
% 11.21/2.25 % SZS status Unsatisfiable for theBenchmark
% 11.21/2.25 % SZS output start Proof for theBenchmark
% See solution above
% 11.79/2.45 % (4107625)------------------------------
% 11.79/2.45 % (4107625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.79/2.45 % (4107625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.79/2.45 % (4107625)CaDiCaL version: 2.1.3
% 11.79/2.45 % (4107625)Termination reason: Refutation
% 11.79/2.45 % (4107625)Time elapsed: 0.031 s
% 11.79/2.45 % (4107625)Peak memory usage: 88 MB
% 11.79/2.45 % (4107625)Instructions burned: 54 (million)
% 11.79/2.45 % (4107625)------------------------------
% 11.79/2.45 % (4107625)------------------------------
% 11.79/2.45 % (4107575)Success in time 1.576 s
% 11.79/2.45 % Vampire exiting
%------------------------------------------------------------------------------