%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO631-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 02:28:28 PM UTC 2026
% Result : Unsatisfiable 8.02s 1.94s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 114
% Number of leaves : 26
% Syntax : Number of formulae : 314 ( 7 unt; 0 def)
% Number of atoms : 1795 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 1634 ( 153 ~;1481 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 12 ( 4 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 392 ( 392 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X0))
| ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_27_01) ).
fof(f3,axiom,
! [X0,X1] :
( ~ 'LE'(f(X0),s(s(s(s('0')))))
| ~ iLEQ(X0,X1)
| 'E'(s(s(s('0'))),f(X1))
| 'LE'(f(X1),s(s(s('0')))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8_03) ).
fof(f4,axiom,
! [X0,X1] :
( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ iLEQ(X0,X1)
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s(s(s('0')))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_48_04) ).
fof(f7,axiom,
! [X0] :
( ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X0))
| ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_44_07) ).
fof(f11,axiom,
! [X0,X1] :
( ~ 'LE'(f(X0),s(s(s(s(s(s('0')))))))
| ~ iLEQ(X0,X1)
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5_11) ).
fof(f12,axiom,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29_12) ).
fof(f13,axiom,
! [X0,X1] :
( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ iLEQ(X0,X1)
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s(s('0'))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10_13) ).
fof(f16,axiom,
! [X0] :
( ~ 'E'(s(s(s(s(s(s('0')))))),f(X0))
| ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11_16) ).
fof(f19,axiom,
! [X0,X1] :
( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s('0')))))))))
| ~ iLEQ(X0,X1)
| 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26_19) ).
fof(f21,axiom,
! [X0,X1] :
( ~ 'LE'(f(X0),s(s('0')))
| ~ iLEQ(X0,X1)
| 'E'(s('0'),f(X1))
| 'LE'(f(X1),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23_21) ).
fof(f22,axiom,
! [X0] :
( ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20_22) ).
fof(f23,axiom,
! [X0] :
( ~ 'E'(s(s(s(s(s('0'))))),f(X0))
| ~ 'E'(s(s(s(s(s('0'))))),f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_40_23) ).
fof(f25,axiom,
! [X0] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2_25) ).
fof(f31,axiom,
! [X0,X1] :
( ~ 'LE'(f(X0),s('0'))
| ~ iLEQ(X0,X1)
| 'E'('0',f(X1))
| 'LE'(f(X1),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_56_31) ).
fof(f32,axiom,
! [X0] :
( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X0))
| ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_42_32) ).
fof(f35,axiom,
! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30_35) ).
fof(f36,axiom,
! [X0,X1] :
( ~ 'LE'(f(X0),s(s(s(s(s('0'))))))
| ~ iLEQ(X0,X1)
| 'E'(s(s(s(s('0')))),f(X1))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_0_36) ).
fof(f39,axiom,
! [X0] :
( 'LE'(f(X0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_49_39) ).
fof(f45,axiom,
! [X0,X1] :
( ~ 'LE'(f(X0),s(s(s(s(s(s(s('0'))))))))
| ~ iLEQ(X0,X1)
| 'E'(s(s(s(s(s(s('0')))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s('0'))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_54_45) ).
fof(f48,axiom,
! [X0] :
( ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_55_48) ).
fof(f50,axiom,
! [X0,X1] :
( ~ 'LE'(f(X0),s(s(s('0'))))
| ~ iLEQ(X0,X1)
| 'E'(s(s('0')),f(X1))
| 'LE'(f(X1),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_51_50) ).
fof(f52,axiom,
! [X0] : ~ 'LE'(f(X0),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_38_52) ).
fof(f54,axiom,
! [X0] :
( ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X0))
| ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X0)))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_31_54) ).
fof(f55,axiom,
! [X0] : ~ 'E'(f(X0),f(g(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_34_55) ).
fof(f56,axiom,
! [X0] : iLEQ(X0,g(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22_56) ).
fof(f57,axiom,
! [X0] : iLEQ(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24_57) ).
fof(f58,plain,
! [X0] :
( ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X0)))
| ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X0)) ),
inference(forward_subsumption_resolution,[],[f54,f55]) ).
fof(f59,plain,
! [X0] :
( ~ 'E'(s(s(s(s('0')))),f(g(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X0)) ),
inference(forward_subsumption_resolution,[],[f48,f55]) ).
fof(f60,plain,
! [X0] :
( ~ 'E'(s('0'),f(g(X0)))
| ~ 'E'(s('0'),f(X0)) ),
inference(forward_subsumption_resolution,[],[f35,f55]) ).
fof(f61,plain,
! [X0] :
( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X0)))
| ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X0)) ),
inference(forward_subsumption_resolution,[],[f32,f55]) ).
fof(f62,plain,
! [X0,X1] :
( ~ 'LE'(f(X0),s('0'))
| ~ iLEQ(X0,X1)
| 'E'('0',f(X1)) ),
inference(forward_subsumption_resolution,[],[f31,f52]) ).
fof(f63,plain,
! [X0] :
( ~ 'E'('0',f(g(X0)))
| ~ 'E'('0',f(X0)) ),
inference(forward_subsumption_resolution,[],[f25,f55]) ).
fof(f64,plain,
! [X0] :
( ~ 'E'(s(s(s(s(s('0'))))),f(g(X0)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X0)) ),
inference(forward_subsumption_resolution,[],[f23,f55]) ).
fof(f65,plain,
! [X0] :
( ~ 'E'(s(s('0')),f(g(X0)))
| ~ 'E'(s(s('0')),f(X0)) ),
inference(forward_subsumption_resolution,[],[f22,f55]) ).
fof(f66,plain,
! [X0] :
( ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X0)))
| ~ 'E'(s(s(s(s(s(s('0')))))),f(X0)) ),
inference(forward_subsumption_resolution,[],[f16,f55]) ).
fof(f67,plain,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(g(X0)))
| ~ 'E'(s(s(s('0'))),f(X0)) ),
inference(forward_subsumption_resolution,[],[f12,f55]) ).
fof(f68,plain,
! [X0] :
( ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X0)))
| ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X0)) ),
inference(forward_subsumption_resolution,[],[f7,f55]) ).
fof(f69,plain,
! [X0] :
( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X0)) ),
inference(forward_subsumption_resolution,[],[f1,f55]) ).
fof(f70,plain,
! [X0,X1] :
( ~ iLEQ(X0,X1)
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s(s(s('0'))))))))))
| 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X0)) ),
inference(resolution,[],[f4,f39]) ).
fof(f71,plain,
! [X0] :
( 'LE'(f(g(X0)),s(s(s(s(s(s(s(s(s('0'))))))))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X0)) ),
inference(resolution,[],[f70,f56]) ).
fof(f72,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X0))
| 'LE'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X0)) ),
inference(resolution,[],[f70,f57]) ).
fof(f73,plain,
! [X0] :
( 'LE'(f(g(X0)),s(s(s(s(s(s(s(s(s('0'))))))))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X0)) ),
inference(resolution,[],[f72,f61]) ).
fof(f74,plain,
! [X0] :
( 'LE'(f(g(X0)),s(s(s(s(s(s(s(s(s('0'))))))))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0))) ),
inference(forward_subsumption_resolution,[],[f73,f71]) ).
fof(f78,plain,
! [X0,X1] :
( ~ iLEQ(g(X0),X1)
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s(s('0'))))))))) ),
inference(resolution,[],[f74,f13]) ).
fof(f79,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0))) ),
inference(resolution,[],[f78,f56]) ).
fof(f80,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X0)))
| 'LE'(f(g(X0)),s(s(s(s(s(s(s(s('0'))))))))) ),
inference(resolution,[],[f78,f57]) ).
fof(f81,plain,
! [X0,X1] :
( ~ iLEQ(g(g(X0)),X1)
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f79,f19]) ).
fof(f82,plain,
! [X0] :
( 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0))) ),
inference(resolution,[],[f81,f56]) ).
fof(f83,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f81,f57]) ).
fof(f85,plain,
! [X0] :
( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X0))
| 'LE'(f(g(X0)),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X0))) ),
inference(resolution,[],[f80,f69]) ).
fof(f87,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(X0))),X1)
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f82,f45]) ).
fof(f88,plain,
! [X0] :
( 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0))))) ),
inference(resolution,[],[f87,f56]) ).
fof(f89,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f87,f57]) ).
fof(f92,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(X0)))),X1)
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f88,f11]) ).
fof(f93,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0)))) ),
inference(resolution,[],[f92,f56]) ).
fof(f94,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f92,f57]) ).
fof(f96,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(X0))))),X1)
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f93,f36]) ).
fof(f97,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0))))) ),
inference(resolution,[],[f96,f56]) ).
fof(f98,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0'))))) ),
inference(resolution,[],[f96,f57]) ).
fof(f100,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s('0'))),f(X1))
| 'LE'(f(X1),s(s(s('0')))) ),
inference(resolution,[],[f97,f3]) ).
fof(f101,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0'))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0))))))) ),
inference(resolution,[],[f100,f56]) ).
fof(f102,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0')))) ),
inference(resolution,[],[f100,f57]) ).
fof(f104,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(X1))
| 'LE'(f(X1),s(s('0'))) ),
inference(resolution,[],[f101,f50]) ).
fof(f105,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[],[f104,f56]) ).
fof(f106,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0'))) ),
inference(resolution,[],[f104,f57]) ).
fof(f108,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(X1))
| 'LE'(f(X1),s('0')) ),
inference(resolution,[],[f105,f21]) ).
fof(f109,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s('0'))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0))))) ),
inference(resolution,[],[f108,f56]) ).
fof(f110,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0')) ),
inference(resolution,[],[f108,f57]) ).
fof(f112,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'('0',f(X1)) ),
inference(resolution,[],[f109,f62]) ).
fof(f115,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f85,f83]) ).
fof(f116,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f85,f89]) ).
fof(f117,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f85,f94]) ).
fof(f118,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0'))))) ),
inference(resolution,[],[f85,f98]) ).
fof(f119,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0')))) ),
inference(resolution,[],[f85,f102]) ).
fof(f120,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0'))) ),
inference(resolution,[],[f85,f106]) ).
fof(f121,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0')) ),
inference(resolution,[],[f85,f110]) ).
fof(f122,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0')) ),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f123,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0'))) ),
inference(duplicate_literal_removal,[],[f120]) ).
fof(f124,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0')))) ),
inference(duplicate_literal_removal,[],[f119]) ).
fof(f125,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0'))))) ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f126,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0')))))) ),
inference(duplicate_literal_removal,[],[f117]) ).
fof(f127,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0'))))))) ),
inference(duplicate_literal_removal,[],[f116]) ).
fof(f128,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0')))))))) ),
inference(duplicate_literal_removal,[],[f115]) ).
fof(f129,plain,
! [X0,X1] :
( ~ iLEQ(g(g(X0)),X1)
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f128,f19]) ).
fof(f131,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f129,f57]) ).
fof(f132,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0)))) ),
inference(duplicate_literal_removal,[],[f131]) ).
fof(f133,plain,
! [X0] :
( ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X0)))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f132,f58]) ).
fof(f134,plain,
! [X0,X1] :
( ~ iLEQ(g(g(X0)),X1)
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f127,f19]) ).
fof(f135,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f134,f56]) ).
fof(f137,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(duplicate_literal_removal,[],[f135]) ).
fof(f138,plain,
! [X0] :
( 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0))))) ),
inference(forward_subsumption_resolution,[],[f137,f133]) ).
fof(f139,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(X0))),X1)
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f138,f45]) ).
fof(f141,plain,
! [X0] :
( 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f139,f57]) ).
fof(f142,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0))))) ),
inference(duplicate_literal_removal,[],[f141]) ).
fof(f143,plain,
! [X0] :
( ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f142,f68]) ).
fof(f144,plain,
! [X0,X1] :
( ~ iLEQ(g(g(X0)),X1)
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f126,f19]) ).
fof(f145,plain,
! [X0] :
( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f144,f56]) ).
fof(f147,plain,
! [X0] :
( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f148,plain,
! [X0] :
( 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0)))))) ),
inference(forward_subsumption_resolution,[],[f147,f133]) ).
fof(f149,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(X0))),X1)
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f148,f45]) ).
fof(f150,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f149,f56]) ).
fof(f152,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(duplicate_literal_removal,[],[f150]) ).
fof(f153,plain,
! [X0] :
( 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0')))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0)))))) ),
inference(forward_subsumption_resolution,[],[f152,f143]) ).
fof(f154,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(X0)))),X1)
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f153,f11]) ).
fof(f156,plain,
! [X0] :
( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f154,f57]) ).
fof(f157,plain,
! [X0] :
( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0')))))) ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f158,plain,
! [X0] :
( ~ 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0)))))) ),
inference(resolution,[],[f157,f66]) ).
fof(f159,plain,
! [X0] :
( 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0))))) ),
inference(resolution,[],[f143,f142]) ).
fof(f160,plain,
! [X0,X1] :
( ~ iLEQ(g(g(X0)),X1)
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f125,f19]) ).
fof(f161,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f160,f56]) ).
fof(f163,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(duplicate_literal_removal,[],[f161]) ).
fof(f164,plain,
! [X0] :
( 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0))))) ),
inference(forward_subsumption_resolution,[],[f163,f133]) ).
fof(f165,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(X0))),X1)
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s('0')))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f164,f45]) ).
fof(f166,plain,
! [X0] :
( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f165,f56]) ).
fof(f168,plain,
! [X0] :
( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(duplicate_literal_removal,[],[f166]) ).
fof(f169,plain,
! [X0] :
( 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0)))))) ),
inference(forward_subsumption_resolution,[],[f168,f143]) ).
fof(f170,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(X0)))),X1)
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f169,f11]) ).
fof(f171,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f170,f56]) ).
fof(f173,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0')))))) ),
inference(duplicate_literal_removal,[],[f171]) ).
fof(f174,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0'))))) ),
inference(forward_subsumption_resolution,[],[f173,f158]) ).
fof(f175,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(X0))))),X1)
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f174,f36]) ).
fof(f177,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0'))))) ),
inference(resolution,[],[f175,f57]) ).
fof(f178,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0))))))) ),
inference(duplicate_literal_removal,[],[f177]) ).
fof(f179,plain,
! [X0] :
( ~ 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s('0'))))) ),
inference(resolution,[],[f178,f64]) ).
fof(f194,plain,
! [X0,X1] :
( ~ iLEQ(g(g(X0)),X1)
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f124,f19]) ).
fof(f195,plain,
! [X0] :
( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f194,f56]) ).
fof(f197,plain,
! [X0] :
( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(duplicate_literal_removal,[],[f195]) ).
fof(f198,plain,
! [X0] :
( 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0)))))) ),
inference(forward_subsumption_resolution,[],[f197,f133]) ).
fof(f199,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(X0))),X1)
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f198,f45]) ).
fof(f200,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f199,f56]) ).
fof(f202,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(duplicate_literal_removal,[],[f200]) ).
fof(f203,plain,
! [X0] :
( 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0))))))) ),
inference(forward_subsumption_resolution,[],[f202,f143]) ).
fof(f204,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(X0)))),X1)
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f203,f11]) ).
fof(f205,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f204,f56]) ).
fof(f207,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0')))))) ),
inference(duplicate_literal_removal,[],[f205]) ).
fof(f208,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0')))) ),
inference(forward_subsumption_resolution,[],[f207,f158]) ).
fof(f209,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(X0))))),X1)
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f208,f36]) ).
fof(f210,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0'))))) ),
inference(resolution,[],[f209,f56]) ).
fof(f212,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0'))))) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f213,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0')))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0)))))))) ),
inference(forward_subsumption_resolution,[],[f212,f179]) ).
fof(f214,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X1))
| 'LE'(f(X1),s(s(s('0')))) ),
inference(resolution,[],[f213,f3]) ).
fof(f216,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0')))) ),
inference(resolution,[],[f214,f57]) ).
fof(f217,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0')))) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f218,plain,
! [X0] :
( ~ 'E'(s(s(s(s('0')))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0)))))))) ),
inference(resolution,[],[f217,f59]) ).
fof(f236,plain,
! [X0,X1] :
( ~ iLEQ(g(g(X0)),X1)
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f123,f19]) ).
fof(f237,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f236,f56]) ).
fof(f239,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(duplicate_literal_removal,[],[f237]) ).
fof(f240,plain,
! [X0] :
( 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0)))))))) ),
inference(forward_subsumption_resolution,[],[f239,f133]) ).
fof(f241,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(X0))),X1)
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f240,f45]) ).
fof(f242,plain,
! [X0] :
( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f241,f56]) ).
fof(f244,plain,
! [X0] :
( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(duplicate_literal_removal,[],[f242]) ).
fof(f245,plain,
! [X0] :
( 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0)))))) ),
inference(forward_subsumption_resolution,[],[f244,f143]) ).
fof(f246,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(X0)))),X1)
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f245,f11]) ).
fof(f247,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f246,f56]) ).
fof(f249,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0')))))) ),
inference(duplicate_literal_removal,[],[f247]) ).
fof(f250,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0'))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0))))))) ),
inference(forward_subsumption_resolution,[],[f249,f158]) ).
fof(f251,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(X0))))),X1)
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f250,f36]) ).
fof(f252,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0'))))) ),
inference(resolution,[],[f251,f56]) ).
fof(f254,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0'))))) ),
inference(duplicate_literal_removal,[],[f252]) ).
fof(f255,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0'))) ),
inference(forward_subsumption_resolution,[],[f254,f179]) ).
fof(f256,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(X1))
| 'LE'(f(X1),s(s(s('0')))) ),
inference(resolution,[],[f255,f3]) ).
fof(f257,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0')))) ),
inference(resolution,[],[f256,f56]) ).
fof(f259,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0')))) ),
inference(duplicate_literal_removal,[],[f257]) ).
fof(f260,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0'))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(forward_subsumption_resolution,[],[f259,f218]) ).
fof(f261,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(X1))
| 'LE'(f(X1),s(s('0'))) ),
inference(resolution,[],[f260,f50]) ).
fof(f263,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0'))) ),
inference(resolution,[],[f261,f57]) ).
fof(f264,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0')))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(duplicate_literal_removal,[],[f263]) ).
fof(f265,plain,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s('0'))) ),
inference(resolution,[],[f264,f67]) ).
fof(f276,plain,
! [X0] :
( 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0)))) ),
inference(resolution,[],[f133,f132]) ).
fof(f295,plain,
! [X0,X1] :
( ~ iLEQ(g(g(X0)),X1)
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f122,f19]) ).
fof(f296,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f295,f56]) ).
fof(f298,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(duplicate_literal_removal,[],[f296]) ).
fof(f299,plain,
! [X0] :
( 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0))))) ),
inference(forward_subsumption_resolution,[],[f298,f133]) ).
fof(f300,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(X0))),X1)
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f299,f45]) ).
fof(f301,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f300,f56]) ).
fof(f303,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(duplicate_literal_removal,[],[f301]) ).
fof(f304,plain,
! [X0] :
( 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0')))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0))))))) ),
inference(forward_subsumption_resolution,[],[f303,f143]) ).
fof(f305,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(X0)))),X1)
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f304,f11]) ).
fof(f306,plain,
! [X0] :
( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f305,f56]) ).
fof(f308,plain,
! [X0] :
( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0')))))) ),
inference(duplicate_literal_removal,[],[f306]) ).
fof(f309,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0'))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0)))))))) ),
inference(forward_subsumption_resolution,[],[f308,f158]) ).
fof(f310,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(X0))))),X1)
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f309,f36]) ).
fof(f311,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0'))))) ),
inference(resolution,[],[f310,f56]) ).
fof(f313,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0'))))) ),
inference(duplicate_literal_removal,[],[f311]) ).
fof(f314,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0')) ),
inference(forward_subsumption_resolution,[],[f313,f179]) ).
fof(f315,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s('0'))),f(X1))
| 'LE'(f(X1),s(s(s('0')))) ),
inference(resolution,[],[f314,f3]) ).
fof(f316,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0')))) ),
inference(resolution,[],[f315,f56]) ).
fof(f318,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0')))) ),
inference(duplicate_literal_removal,[],[f316]) ).
fof(f319,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0'))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(forward_subsumption_resolution,[],[f318,f218]) ).
fof(f320,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s('0')),f(X1))
| 'LE'(f(X1),s(s('0'))) ),
inference(resolution,[],[f319,f50]) ).
fof(f321,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0'))) ),
inference(resolution,[],[f320,f56]) ).
fof(f323,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0'))) ),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f324,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0')))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0')) ),
inference(forward_subsumption_resolution,[],[f323,f265]) ).
fof(f325,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s('0'),f(X1))
| 'LE'(f(X1),s('0')) ),
inference(resolution,[],[f324,f21]) ).
fof(f327,plain,
! [X0] :
( 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0')) ),
inference(resolution,[],[f325,f57]) ).
fof(f328,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0'))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(duplicate_literal_removal,[],[f327]) ).
fof(f329,plain,
! [X0] :
( ~ 'E'(s(s('0')),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s('0')) ),
inference(resolution,[],[f328,f65]) ).
fof(f360,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(X0)))),X1)
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f159,f11]) ).
fof(f361,plain,
! [X0] :
( 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f360,f56]) ).
fof(f363,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0'))))))) ),
inference(forward_subsumption_resolution,[],[f361,f158]) ).
fof(f364,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(X0))))),X1)
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f363,f36]) ).
fof(f365,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0'))))) ),
inference(resolution,[],[f364,f56]) ).
fof(f367,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0'))))))) ),
inference(forward_subsumption_resolution,[],[f365,f179]) ).
fof(f368,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(X1))
| 'LE'(f(X1),s(s(s('0')))) ),
inference(resolution,[],[f367,f3]) ).
fof(f369,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0')))) ),
inference(resolution,[],[f368,f56]) ).
fof(f371,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0'))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0'))))))) ),
inference(forward_subsumption_resolution,[],[f369,f218]) ).
fof(f372,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s(s('0')),f(X1))
| 'LE'(f(X1),s(s('0'))) ),
inference(resolution,[],[f371,f50]) ).
fof(f373,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0'))) ),
inference(resolution,[],[f372,f56]) ).
fof(f375,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0')))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0'))))))) ),
inference(forward_subsumption_resolution,[],[f373,f265]) ).
fof(f376,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s('0'),f(X1))
| 'LE'(f(X1),s('0')) ),
inference(resolution,[],[f375,f21]) ).
fof(f377,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s('0')) ),
inference(resolution,[],[f376,f56]) ).
fof(f379,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s('0'))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0'))))))) ),
inference(forward_subsumption_resolution,[],[f377,f329]) ).
fof(f380,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'('0',f(X1)) ),
inference(resolution,[],[f379,f62]) ).
fof(f381,plain,
! [X0] :
( 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0)))))))))))) ),
inference(resolution,[],[f380,f56]) ).
fof(f382,plain,
! [X0] :
( 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[],[f380,f57]) ).
fof(f383,plain,
! [X0] :
( ~ 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f382,f60]) ).
fof(f384,plain,
! [X0] :
( 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| ~ 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(resolution,[],[f381,f60]) ).
fof(f399,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(X0))),X1)
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f276,f45]) ).
fof(f400,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f399,f56]) ).
fof(f402,plain,
! [X0] :
( 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0')))))))) ),
inference(forward_subsumption_resolution,[],[f400,f143]) ).
fof(f403,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(X0)))),X1)
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f402,f11]) ).
fof(f404,plain,
! [X0] :
( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f403,f56]) ).
fof(f406,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0')))))))) ),
inference(forward_subsumption_resolution,[],[f404,f158]) ).
fof(f407,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(X0))))),X1)
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f406,f36]) ).
fof(f408,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0'))))) ),
inference(resolution,[],[f407,f56]) ).
fof(f410,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0')))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0')))))))) ),
inference(forward_subsumption_resolution,[],[f408,f179]) ).
fof(f411,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s(s('0'))),f(X1))
| 'LE'(f(X1),s(s(s('0')))) ),
inference(resolution,[],[f410,f3]) ).
fof(f412,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0')))) ),
inference(resolution,[],[f411,f56]) ).
fof(f414,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0'))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0')))))))) ),
inference(forward_subsumption_resolution,[],[f412,f218]) ).
fof(f415,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(X1))
| 'LE'(f(X1),s(s('0'))) ),
inference(resolution,[],[f414,f50]) ).
fof(f416,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0'))) ),
inference(resolution,[],[f415,f56]) ).
fof(f418,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0')))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0')))))))) ),
inference(forward_subsumption_resolution,[],[f416,f265]) ).
fof(f419,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s('0'),f(X1))
| 'LE'(f(X1),s('0')) ),
inference(resolution,[],[f418,f21]) ).
fof(f420,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s('0')) ),
inference(resolution,[],[f419,f56]) ).
fof(f422,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s('0'))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0')))))))) ),
inference(forward_subsumption_resolution,[],[f420,f329]) ).
fof(f423,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'('0',f(X1)) ),
inference(resolution,[],[f422,f62]) ).
fof(f424,plain,
! [X0] :
( 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0)))))))))))) ),
inference(resolution,[],[f423,f56]) ).
fof(f593,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0)))))))))))) ),
inference(resolution,[],[f112,f56]) ).
fof(f594,plain,
! [X0] :
( 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[],[f112,f57]) ).
fof(f597,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0)))) ),
inference(resolution,[],[f594,f85]) ).
fof(f598,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0))))))) ),
inference(duplicate_literal_removal,[],[f597]) ).
fof(f602,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0)))) ),
inference(resolution,[],[f593,f85]) ).
fof(f603,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0))))))) ),
inference(duplicate_literal_removal,[],[f602]) ).
fof(f997,plain,
! [X0] :
( 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| ~ 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| ~ 'E'('0',f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[],[f384,f63]) ).
fof(f998,plain,
! [X0] :
( ~ 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(X0))))) ),
inference(forward_subsumption_resolution,[],[f997,f383]) ).
fof(f1111,plain,
! [X0,X1] :
( ~ iLEQ(g(g(X0)),X1)
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f598,f19]) ).
fof(f1112,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f1111,f56]) ).
fof(f1114,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(duplicate_literal_removal,[],[f1112]) ).
fof(f1115,plain,
! [X0] :
( 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(forward_subsumption_resolution,[],[f1114,f133]) ).
fof(f1116,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(X0))),X1)
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s('0')))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f1115,f45]) ).
fof(f1117,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f1116,f56]) ).
fof(f1119,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(duplicate_literal_removal,[],[f1117]) ).
fof(f1120,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(forward_subsumption_resolution,[],[f1119,f998]) ).
fof(f1121,plain,
! [X0] :
( 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0)))))))) ),
inference(forward_subsumption_resolution,[],[f1120,f143]) ).
fof(f1122,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(X0)))),X1)
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f1121,f11]) ).
fof(f1123,plain,
! [X0] :
( 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f1122,f56]) ).
fof(f1125,plain,
! [X0] :
( 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0')))))) ),
inference(duplicate_literal_removal,[],[f1123]) ).
fof(f1126,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(forward_subsumption_resolution,[],[f1125,f158]) ).
fof(f1127,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(X0))))),X1)
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f1126,f36]) ).
fof(f1128,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0'))))) ),
inference(resolution,[],[f1127,f56]) ).
fof(f1130,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0'))))) ),
inference(duplicate_literal_removal,[],[f1128]) ).
fof(f1131,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(forward_subsumption_resolution,[],[f1130,f179]) ).
fof(f1132,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(X1))
| 'LE'(f(X1),s(s(s('0')))) ),
inference(resolution,[],[f1131,f3]) ).
fof(f1133,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0')))) ),
inference(resolution,[],[f1132,f56]) ).
fof(f1135,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0')))) ),
inference(duplicate_literal_removal,[],[f1133]) ).
fof(f1136,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0'))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0))))))))) ),
inference(forward_subsumption_resolution,[],[f1135,f218]) ).
fof(f1137,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s('0')),f(X1))
| 'LE'(f(X1),s(s('0'))) ),
inference(resolution,[],[f1136,f50]) ).
fof(f1138,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0'))) ),
inference(resolution,[],[f1137,f56]) ).
fof(f1140,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0'))) ),
inference(duplicate_literal_removal,[],[f1138]) ).
fof(f1141,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0')))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(forward_subsumption_resolution,[],[f1140,f265]) ).
fof(f1142,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s('0'),f(X1))
| 'LE'(f(X1),s('0')) ),
inference(resolution,[],[f1141,f21]) ).
fof(f1143,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s('0')) ),
inference(resolution,[],[f1142,f56]) ).
fof(f1145,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s('0'))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(forward_subsumption_resolution,[],[f1143,f329]) ).
fof(f1146,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'('0',f(X1)) ),
inference(resolution,[],[f1145,f62]) ).
fof(f1148,plain,
! [X0] :
( 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[],[f1146,f57]) ).
fof(f1149,plain,
! [X0] :
( 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(duplicate_literal_removal,[],[f1148]) ).
fof(f1158,plain,
! [X0] :
( ~ 'E'(s('0'),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(resolution,[],[f1149,f60]) ).
fof(f1163,plain,
! [X0] :
( 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0)))))))))))) ),
inference(resolution,[],[f1158,f424]) ).
fof(f1179,plain,
! [X0] :
( 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0)))) ),
inference(duplicate_literal_removal,[],[f1163]) ).
fof(f1242,plain,
! [X0] :
( ~ 'E'('0',f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(X0))))
| 'LE'(f(g(g(X0))),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f1179,f63]) ).
fof(f1449,plain,
! [X0,X1] :
( 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| ~ iLEQ(g(g(X0)),X1)
| 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f603,f19]) ).
fof(f1450,plain,
! [X0,X1] :
( ~ iLEQ(g(g(X0)),X1)
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
inference(forward_subsumption_resolution,[],[f1449,f1158]) ).
fof(f1451,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(resolution,[],[f1450,f56]) ).
fof(f1453,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0))))))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(duplicate_literal_removal,[],[f1451]) ).
fof(f1454,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(g(X0))))
| 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0')))))))) ),
inference(forward_subsumption_resolution,[],[f1453,f1242]) ).
fof(f1455,plain,
! [X0] :
( 'LE'(f(g(g(g(X0)))),s(s(s(s(s(s(s('0'))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(forward_subsumption_resolution,[],[f1454,f133]) ).
fof(f1456,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(X0))),X1)
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s('0')))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f1455,f45]) ).
fof(f1457,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(resolution,[],[f1456,f56]) ).
fof(f1459,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s(s(s(s(s('0'))))))),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0'))))))) ),
inference(duplicate_literal_removal,[],[f1457]) ).
fof(f1460,plain,
! [X0] :
( 'LE'(f(g(g(g(g(X0))))),s(s(s(s(s(s('0')))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0)))))))) ),
inference(forward_subsumption_resolution,[],[f1459,f143]) ).
fof(f1461,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(X0)))),X1)
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(X1))
| 'LE'(f(X1),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f1460,f11]) ).
fof(f1462,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0')))))) ),
inference(resolution,[],[f1461,f56]) ).
fof(f1464,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s(s(s('0')))))),f(g(g(g(g(X0))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0')))))) ),
inference(duplicate_literal_removal,[],[f1462]) ).
fof(f1465,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(X0)))))),s(s(s(s(s('0'))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0))))))) ),
inference(forward_subsumption_resolution,[],[f1464,f158]) ).
fof(f1466,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(X0))))),X1)
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(X1))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
inference(resolution,[],[f1465,f36]) ).
fof(f1467,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0'))))) ),
inference(resolution,[],[f1466,f56]) ).
fof(f1469,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s(s(s('0'))))),f(g(g(g(g(g(X0)))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0'))))) ),
inference(duplicate_literal_removal,[],[f1467]) ).
fof(f1470,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(X0))))))),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0)))))))) ),
inference(forward_subsumption_resolution,[],[f1469,f179]) ).
fof(f1471,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(X0)))))),X1)
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s('0'))),f(X1))
| 'LE'(f(X1),s(s(s('0')))) ),
inference(resolution,[],[f1470,f3]) ).
fof(f1472,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0')))) ),
inference(resolution,[],[f1471,f56]) ).
fof(f1474,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s(s('0')))),f(g(g(g(g(g(g(X0))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0')))) ),
inference(duplicate_literal_removal,[],[f1472]) ).
fof(f1475,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(X0)))))))),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(forward_subsumption_resolution,[],[f1474,f218]) ).
fof(f1476,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(X0))))))),X1)
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(X1))
| 'LE'(f(X1),s(s('0'))) ),
inference(resolution,[],[f1475,f50]) ).
fof(f1477,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0'))) ),
inference(resolution,[],[f1476,f56]) ).
fof(f1479,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s(s(s('0'))),f(g(g(g(g(g(g(g(X0)))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0'))) ),
inference(duplicate_literal_removal,[],[f1477]) ).
fof(f1480,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(X0))))))))),s(s('0')))
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0)))))))))) ),
inference(forward_subsumption_resolution,[],[f1479,f265]) ).
fof(f1481,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(g(X0)))))))),X1)
| 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s('0'),f(X1))
| 'LE'(f(X1),s('0')) ),
inference(resolution,[],[f1480,f21]) ).
fof(f1482,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(g(g(g(g(g(X0))))))))))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'LE'(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s('0')) ),
inference(resolution,[],[f1481,f56]) ).
fof(f1484,plain,
! [X0] :
( 'LE'(f(g(g(g(g(g(g(g(g(g(X0)))))))))),s('0'))
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0))))))))))) ),
inference(forward_subsumption_resolution,[],[f1482,f329]) ).
fof(f1485,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(g(g(g(g(g(X0))))))))),X1)
| 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'('0',f(X1)) ),
inference(resolution,[],[f1484,f62]) ).
fof(f1486,plain,
! [X0] :
( 'E'(s('0'),f(g(g(g(g(g(g(g(g(g(X0)))))))))))
| 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0)))))))))))) ),
inference(resolution,[],[f1485,f56]) ).
fof(f1488,plain,
! [X0] : 'E'('0',f(g(g(g(g(g(g(g(g(g(g(X0)))))))))))),
inference(forward_subsumption_resolution,[],[f1486,f1158]) ).
fof(f1499,plain,
! [X0] : ~ 'E'('0',f(g(g(g(g(g(g(g(g(g(X0))))))))))),
inference(resolution,[],[f1488,f63]) ).
fof(f1514,plain,
$false,
inference(resolution,[],[f1499,f1488]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO631-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n008.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 17:59:54 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 8.02/1.94 % (2477823)Input is clausal, will run a generic CNF schedule.
% 8.02/1.94 % (2477831)lrs+10_1_sil=8000:sp=occurrence:random_seed=3573663121:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.02/1.94 % (2477831)Refutation not found, incomplete strategy
% 8.02/1.94 % (2477831)------------------------------
% 8.02/1.94 % (2477831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477831)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477831)Termination reason: Refutation not found, incomplete strategy
% 8.02/1.94 % (2477831)Time elapsed: 0.0000 s
% 8.02/1.94 % (2477831)Peak memory usage: 86 MB
% 8.02/1.94 % (2477828)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=1020128476:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.02/1.94 % (2477829)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2905275622:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.02/1.94 % (2477830)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3909601949:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.02/1.94 % (2477833)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2998627171:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.02/1.94 % (2477834)dis-21_1_sil=8000:lcm=predicate:random_seed=1991903728: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)
% 8.02/1.94 % (2477832)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2710970609:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.02/1.94 % (2477832)Refutation not found, incomplete strategy
% 8.02/1.94 % (2477832)------------------------------
% 8.02/1.94 % (2477832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477832)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477832)Termination reason: Refutation not found, incomplete strategy
% 8.02/1.94 % (2477832)Time elapsed: 0.001 s
% 8.02/1.94 % (2477832)Peak memory usage: 86 MB
% 8.02/1.94 % (2477834)Instruction limit reached!
% 8.02/1.94 % (2477834)------------------------------
% 8.02/1.94 % (2477834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477834)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477834)Termination reason: Instruction limit
% 8.02/1.94 % (2477834)Termination phase: Saturation
% 8.02/1.94 % (2477834)Time elapsed: 0.046 s
% 8.02/1.94 % (2477834)Peak memory usage: 87 MB
% 8.02/1.94 % (2477834)Instructions burned: 119 (million)
% 8.02/1.94 % (2477833)Instruction limit reached!
% 8.02/1.94 % (2477833)------------------------------
% 8.02/1.94 % (2477833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477833)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477833)Termination reason: Instruction limit
% 8.02/1.94 % (2477833)Termination phase: Saturation
% 8.02/1.94 % (2477833)Time elapsed: 0.073 s
% 8.02/1.94 % (2477833)Peak memory usage: 88 MB
% 8.02/1.94 % (2477833)Instructions burned: 181 (million)
% 8.02/1.94 % (2477831)------------------------------
% 8.02/1.94 % (2477831)------------------------------
% 8.02/1.94 % (2477842)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=4181205302:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.02/1.94 % (2477842)Refutation not found, incomplete strategy
% 8.02/1.94 % (2477842)------------------------------
% 8.02/1.94 % (2477842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477842)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477842)Termination reason: Refutation not found, incomplete strategy
% 8.02/1.94 % (2477842)Time elapsed: 0.001 s
% 8.02/1.94 % (2477842)Peak memory usage: 86 MB
% 8.02/1.94 % (2477844)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2981182949:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.02/1.94 % (2477844)Refutation not found, incomplete strategy
% 8.02/1.94 % (2477844)------------------------------
% 8.02/1.94 % (2477844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477844)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477844)Termination reason: Refutation not found, incomplete strategy
% 8.02/1.94 % (2477844)Time elapsed: 0.0000 s
% 8.02/1.94 % (2477844)Peak memory usage: 86 MB
% 8.02/1.94 % (2477843)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2483923654: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)
% 8.02/1.94 % (2477843)Refutation not found, incomplete strategy
% 8.02/1.94 % (2477843)------------------------------
% 8.02/1.94 % (2477843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477843)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477843)Termination reason: Refutation not found, incomplete strategy
% 8.02/1.94 % (2477843)Time elapsed: 0.001 s
% 8.02/1.94 % (2477843)Peak memory usage: 86 MB
% 8.02/1.94 % (2477832)------------------------------
% 8.02/1.94 % (2477832)------------------------------
% 8.02/1.94 % (2477844)------------------------------
% 8.02/1.94 % (2477844)------------------------------
% 8.02/1.94 % (2477848)lrs+10_64_to=lpo:sil=8000:random_seed=3999102690:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.02/1.94 % (2477842)------------------------------
% 8.02/1.94 % (2477842)------------------------------
% 8.02/1.94 % (2477843)------------------------------
% 8.02/1.94 % (2477843)------------------------------
% 8.02/1.94 % (2477848)Instruction limit reached!
% 8.02/1.94 % (2477848)------------------------------
% 8.02/1.94 % (2477848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477848)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477848)Termination reason: Instruction limit
% 8.02/1.94 % (2477848)Termination phase: Saturation
% 8.02/1.94 % (2477848)Time elapsed: 0.058 s
% 8.02/1.94 % (2477848)Peak memory usage: 87 MB
% 8.02/1.94 % (2477848)Instructions burned: 128 (million)
% 8.02/1.94 % (2477849)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3908754029:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 8.02/1.94 % (2477849)Instruction limit reached!
% 8.02/1.94 % (2477849)------------------------------
% 8.02/1.94 % (2477849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477849)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477849)Termination reason: Instruction limit
% 8.02/1.94 % (2477849)Termination phase: Saturation
% 8.02/1.94 % (2477849)Time elapsed: 0.042 s
% 8.02/1.94 % (2477849)Peak memory usage: 88 MB
% 8.02/1.94 % (2477849)Instructions burned: 197 (million)
% 8.02/1.94 % (2477829)Refutation not found, incomplete strategy
% 8.02/1.94 % (2477829)------------------------------
% 8.02/1.94 % (2477829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477829)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477829)Termination reason: Refutation not found, incomplete strategy
% 8.02/1.94 % (2477829)Time elapsed: 0.587 s
% 8.02/1.94 % (2477829)Peak memory usage: 125 MB
% 8.02/1.94 % (2477829)Instructions burned: 873 (million)
% 8.02/1.94 % (2477851)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=968851742:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 8.02/1.94 % (2477853)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=438675193:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.02/1.94 % (2477852)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=92920155:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.02/1.94 % (2477853)Refutation not found, incomplete strategy
% 8.02/1.94 % (2477853)------------------------------
% 8.02/1.94 % (2477853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477853)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477853)Termination reason: Refutation not found, incomplete strategy
% 8.02/1.94 % (2477853)Time elapsed: 0.001 s
% 8.02/1.94 % (2477853)Peak memory usage: 86 MB
% 8.02/1.94 % (2477851)Instruction limit reached!
% 8.02/1.94 % (2477851)------------------------------
% 8.02/1.94 % (2477851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477851)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477851)Termination reason: Instruction limit
% 8.02/1.94 % (2477851)Termination phase: Saturation
% 8.02/1.94 % (2477851)Time elapsed: 0.081 s
% 8.02/1.94 % (2477851)Peak memory usage: 88 MB
% 8.02/1.94 % (2477851)Instructions burned: 158 (million)
% 8.02/1.94 % (2477855)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1450605195:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.02/1.94 % (2477855)Refutation not found, incomplete strategy
% 8.02/1.94 % (2477855)------------------------------
% 8.02/1.94 % (2477855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477855)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477855)Termination reason: Refutation not found, incomplete strategy
% 8.02/1.94 % (2477855)Time elapsed: 0.001 s
% 8.02/1.94 % (2477855)Peak memory usage: 86 MB
% 8.02/1.94 % (2477829)------------------------------
% 8.02/1.94 % (2477829)------------------------------
% 8.02/1.94 % (2477828)First to succeed.
% 8.02/1.94 % (2477828)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2477823"
% 8.02/1.94 % (2477853)------------------------------
% 8.02/1.94 % (2477853)------------------------------
% 8.02/1.94 % (2477859)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4121752859:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.02/1.94 % (2477855)------------------------------
% 8.02/1.94 % (2477855)------------------------------
% 8.02/1.94 % (2477859)Instruction limit reached!
% 8.02/1.94 % (2477859)------------------------------
% 8.02/1.94 % (2477859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477859)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477859)Termination reason: Instruction limit
% 8.02/1.94 % (2477859)Termination phase: Saturation
% 8.02/1.94 % (2477859)Time elapsed: 0.097 s
% 8.02/1.94 % (2477859)Peak memory usage: 89 MB
% 8.02/1.94 % (2477859)Instructions burned: 243 (million)
% 8.02/1.94 % (2477861)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2707094405:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 8.02/1.94 % (2477863)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1769577036:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 8.02/1.94 % (2477863)Refutation not found, incomplete strategy
% 8.02/1.94 % (2477863)------------------------------
% 8.02/1.94 % (2477863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/1.94 % (2477863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/1.94 % (2477863)CaDiCaL version: 2.1.3
% 8.02/1.94 % (2477863)Termination reason: Refutation not found, incomplete strategy
% 8.02/1.94 % (2477863)Time elapsed: 0.001 s
% 8.02/1.94 % (2477863)Peak memory usage: 86 MB
% 8.02/1.94 % (2477864)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=878602808:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 8.02/1.94 % (2477828)Refutation found. Thanks to Tanya!
% 8.02/1.94 % SZS status Unsatisfiable for theBenchmark
% 8.02/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.14 % (2477828)------------------------------
% 0.18/2.14 % (2477828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.14 % (2477828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.14 % (2477828)CaDiCaL version: 2.1.3
% 0.18/2.14 % (2477828)Termination reason: Refutation
% 0.18/2.14 % (2477828)Time elapsed: 0.875 s
% 0.18/2.14 % (2477828)Peak memory usage: 128 MB
% 0.18/2.14 % (2477828)Instructions burned: 1251 (million)
% 0.18/2.14 % (2477828)------------------------------
% 0.18/2.14 % (2477828)------------------------------
% 0.18/2.14 % (2477823)Success in time 1.297 s
% 0.18/2.14 % Vampire exiting
%------------------------------------------------------------------------------