%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN313-1.001.002 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 : Thu Sep 24 03:15:42 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.40s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 45
% Syntax : Number of formulae : 209 ( 1 unt; 43 def)
% Number of atoms : 574 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 684 ( 319 ~; 322 |; 0 &)
% ( 43 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 27 ( 8 avg)
% Number of predicates : 45 ( 44 usr; 44 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 113 ( 113 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1,X2] :
( ~ p(X0,f1(X1),X2)
| ~ p(X0,f0(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [Y0,Y2,Y1] :
( p(h2(Y1),Y2,j2(Y2))
| p(h1(Y0),Y1,j1(Y2))
| p(h0,Y0,j0(Y2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1] :
( ! [X2] : ~ p(X0,f1(X1),X2)
| ~ p(X0,f0(X0),X1) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f4,plain,
! [X0,X1,X2] :
( ~ p(X0,f1(X1),X2)
| ~ p(X0,f0(X0),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f5,plain,
! [Y2,Y1] :
( p(h2(Y1),Y2,j2(Y2))
| ! [Y0] :
( p(h1(Y0),Y1,j1(Y2))
| p(h0,Y0,j0(Y2)) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f6,plain,
! [X0,X1,X2] :
( p(h2(X2),X1,j2(X1))
| p(h1(X0),X2,j1(X1))
| p(h0,X0,j0(X1)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0,X1,X2] :
( ~ p(h1(X0),f1(j1(X1)),X2)
| p(h2(f0(h1(X0))),X1,j2(X1))
| p(h0,X0,j0(X1)) ),
inference(resolution,[status(thm)],[f6,f4]) ).
fof(f8,plain,
! [X0,X1,X2] :
( ~ p(h2(X1),f1(j2(f0(h2(X1)))),X2)
| p(h1(X0),X1,j1(f0(h2(X1))))
| p(h0,X0,j0(f0(h2(X1)))) ),
inference(resolution,[status(thm)],[f6,f4]) ).
fof(f9,plain,
! [X0,X1,X2] :
( ~ p(h2(f0(h1(X0))),f1(j2(f0(h2(f0(h1(X0)))))),X2)
| ~ p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X1)
| p(h0,X0,j0(f0(h2(f0(h1(X0)))))) ),
inference(resolution,[status(thm)],[f7,f4]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ~ p(h1(X0),f1(j1(f1(j2(f0(h2(f0(h1(X0)))))))),X2)
| p(h0,X0,j0(f1(j2(f0(h2(f0(h1(X0))))))))
| ~ p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X1)
| p(h0,X0,j0(f0(h2(f0(h1(X0)))))) ),
inference(resolution,[status(thm)],[f9,f7]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ~ p(h2(f1(j1(f1(j2(f0(h2(f0(h1(X0))))))))),f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(X0)))))))))))),X2)
| p(h0,X0,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(X0))))))))))))
| p(h0,X0,j0(f1(j2(f0(h2(f0(h1(X0))))))))
| ~ p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X1)
| p(h0,X0,j0(f0(h2(f0(h1(X0)))))) ),
inference(resolution,[status(thm)],[f11,f8]) ).
fof(f14,plain,
! [X0,X1,X2] :
( p(h2(f1(j1(f1(j2(f0(h2(f0(h1(X0))))))))),X2,j2(X2))
| p(h0,X0,j0(X2))
| p(h0,X0,j0(f1(j2(f0(h2(f0(h1(X0))))))))
| ~ p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X1)
| p(h0,X0,j0(f0(h2(f0(h1(X0)))))) ),
inference(resolution,[status(thm)],[f11,f6]) ).
fof(f17,plain,
! [X0,X1,X2] :
( p(h0,X0,j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(X0))))))))))))))
| p(h0,X0,j0(f1(j2(f0(h2(f0(h1(X0))))))))
| ~ p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X2)
| p(h0,X0,j0(f0(h2(f0(h1(X0))))))
| p(h0,X0,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(X0))))))))))))
| p(h0,X0,j0(f1(j2(f0(h2(f0(h1(X0))))))))
| ~ p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X1)
| p(h0,X0,j0(f0(h2(f0(h1(X0)))))) ),
inference(resolution,[status(thm)],[f13,f14]) ).
fof(f19,plain,
! [X0,X1,X2] :
( p(h0,X0,j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(X0))))))))))))))
| ~ p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X2)
| p(h0,X0,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(X0))))))))))))
| p(h0,X0,j0(f1(j2(f0(h2(f0(h1(X0))))))))
| ~ p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X1)
| p(h0,X0,j0(f0(h2(f0(h1(X0)))))) ),
inference(duplicate_literals_removal,[status(thm)],[f17]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),X2)
| ~ p(h1(f0(h0)),f1(j1(f0(h2(f0(h1(f0(h0))))))),X1)
| p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| ~ p(h1(f0(h0)),f1(j1(f0(h2(f0(h1(f0(h0))))))),X0)
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(resolution,[status(thm)],[f19,f4]) ).
fof(f21,definition,
( sQ0_spl
<=> p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f22,plain,
( ~ sQ0_spl
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(component_clause,[status(thm)],[f21]) ).
fof(f24,definition,
! [X0] :
( sQ1_spl
<=> ~ p(h1(f0(h0)),f1(j1(f0(h2(f0(h1(f0(h0))))))),X0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f25,plain,
! [X0] :
( ~ sQ1_spl
| ~ p(h1(f0(h0)),f1(j1(f0(h2(f0(h1(f0(h0))))))),X0) ),
inference(component_clause,[status(thm)],[f24]) ).
fof(f27,definition,
( sQ2_spl
<=> p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f28,plain,
( ~ sQ2_spl
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))) ),
inference(component_clause,[status(thm)],[f27]) ).
fof(f30,definition,
( sQ3_spl
<=> p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f31,plain,
( ~ sQ3_spl
| p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference(component_clause,[status(thm)],[f30]) ).
fof(f33,definition,
! [X2] :
( sQ4_spl
<=> ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),X2) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f34,plain,
! [X0] :
( ~ sQ4_spl
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),X0) ),
inference(component_clause,[status(thm)],[f33]) ).
fof(f36,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f21,f24,f27,f30,f33]) ).
fof(f37,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),X1)
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))))
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),X0)
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(resolution,[status(thm)],[f34,f19]) ).
fof(f38,definition,
( sQ5_spl
<=> p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f39,plain,
( ~ sQ5_spl
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f38]) ).
fof(f41,definition,
! [X0] :
( sQ6_spl
<=> ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),X0) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f42,plain,
! [X0] :
( ~ sQ6_spl
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),X0) ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,definition,
( sQ7_spl
<=> p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f45,plain,
( ~ sQ7_spl
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,definition,
( sQ8_spl
<=> p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f48,plain,
( ~ sQ8_spl
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,plain,
( ~ sQ4_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f37,f38,f41,f44,f47,f33]) ).
fof(f51,plain,
! [X0] :
( ~ sQ3_spl
| ~ p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),X0) ),
inference(resolution,[status(thm)],[f31,f4]) ).
fof(f52,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),X1)
| p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),X0)
| p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(resolution,[status(thm)],[f51,f19]) ).
fof(f53,definition,
( sQ9_spl
<=> p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f54,plain,
( ~ sQ9_spl
| p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,definition,
! [X0] :
( sQ10_spl
<=> ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),X0) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f57,plain,
! [X0] :
( ~ sQ10_spl
| ~ p(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),X0) ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,definition,
( sQ11_spl
<=> p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f60,plain,
( ~ sQ11_spl
| p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,definition,
( sQ12_spl
<=> p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f63,plain,
( ~ sQ12_spl
| p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,plain,
( ~ sQ3_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f52,f53,f56,f59,f62,f30]) ).
fof(f66,plain,
! [X0] :
( ~ sQ2_spl
| ~ p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),X0) ),
inference(resolution,[status(thm)],[f28,f4]) ).
fof(f67,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),X1)
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),X0)
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(resolution,[status(thm)],[f66,f19]) ).
fof(f68,definition,
( sQ13_spl
<=> p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f69,plain,
( ~ sQ13_spl
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,definition,
! [X0] :
( sQ14_spl
<=> ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),X0) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f72,plain,
! [X0] :
( ~ sQ14_spl
| ~ p(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),X0) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,definition,
( sQ15_spl
<=> p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f75,plain,
( ~ sQ15_spl
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f77,definition,
( sQ16_spl
<=> p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( ~ sQ16_spl
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,plain,
( ~ sQ2_spl
| sQ16_spl
| sQ15_spl
| sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f67,f68,f71,f74,f77,f27]) ).
fof(f81,plain,
! [X0] :
( ~ sQ1_spl
| ~ p(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),X0)
| p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))) ),
inference(resolution,[status(thm)],[f25,f8]) ).
fof(f82,plain,
! [X0] :
( ~ sQ1_spl
| p(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))),X0,j2(X0))
| p(h0,f0(h0),j0(X0)) ),
inference(resolution,[status(thm)],[f25,f6]) ).
fof(f83,definition,
( sQ17_spl
<=> p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( ~ sQ17_spl
| p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))) ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,definition,
! [X0] :
( sQ18_spl
<=> ~ p(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),X0) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f87,plain,
! [X0] :
( ~ sQ18_spl
| ~ p(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),X0) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,plain,
( ~ sQ1_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f81,f83,f86,f24]) ).
fof(f90,plain,
! [X0] :
( ~ sQ0_spl
| ~ p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),X0) ),
inference(resolution,[status(thm)],[f22,f4]) ).
fof(f91,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),X1)
| p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))
| ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),X0)
| p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference(resolution,[status(thm)],[f90,f19]) ).
fof(f92,definition,
( sQ19_spl
<=> p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( ~ sQ19_spl
| p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,definition,
! [X0] :
( sQ20_spl
<=> ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),X0) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f96,plain,
! [X0] :
( ~ sQ20_spl
| ~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),X0) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,definition,
( sQ21_spl
<=> p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ21_spl
| p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,definition,
( sQ22_spl
<=> p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ22_spl
| p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,plain,
( ~ sQ0_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f91,f92,f95,f98,f101,f21]) ).
fof(f105,plain,
( ~ sQ22_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f90]) ).
fof(f106,plain,
( ~ sQ22_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f105]) ).
fof(f112,plain,
! [X0] :
( ~ sQ17_spl
| ~ p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),X0) ),
inference(resolution,[status(thm)],[f84,f4]) ).
fof(f113,plain,
! [X0,X1] :
( ~ sQ17_spl
| ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),X1)
| p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),X0)
| p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference(resolution,[status(thm)],[f112,f19]) ).
fof(f114,definition,
( sQ23_spl
<=> p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ23_spl
| p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,definition,
! [X0] :
( sQ24_spl
<=> ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),X0) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f118,plain,
! [X0] :
( ~ sQ24_spl
| ~ p(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),X0) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,definition,
( sQ25_spl
<=> p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ25_spl
| p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,definition,
( sQ26_spl
<=> p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ26_spl
| p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,plain,
( ~ sQ17_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f113,f114,f117,f120,f123,f83]) ).
fof(f127,plain,
( ~ sQ26_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f124,f112]) ).
fof(f128,plain,
( ~ sQ26_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f127]) ).
fof(f131,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference(resolution,[status(thm)],[f87,f82]) ).
fof(f133,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ18_spl
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),X0) ),
inference(resolution,[status(thm)],[f131,f4]) ).
fof(f134,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ18_spl
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),X1)
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),X0)
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(resolution,[status(thm)],[f133,f19]) ).
fof(f135,definition,
( sQ27_spl
<=> p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ27_spl
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
! [X0] :
( sQ28_spl
<=> ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),X0) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f139,plain,
! [X0] :
( ~ sQ28_spl
| ~ p(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),X0) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,definition,
( sQ29_spl
<=> p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ29_spl
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
( sQ30_spl
<=> p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ30_spl
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f134,f135,f138,f141,f144,f86,f24]) ).
fof(f151,plain,
! [X0] :
( ~ sQ6_spl
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))),X0)
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(resolution,[status(thm)],[f42,f8]) ).
fof(f152,plain,
! [X0] :
( ~ sQ6_spl
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),X0,j2(X0))
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(X0)) ),
inference(resolution,[status(thm)],[f42,f6]) ).
fof(f153,definition,
( sQ31_spl
<=> p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ31_spl
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,definition,
! [X0] :
( sQ32_spl
<=> ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))),X0) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f157,plain,
! [X0] :
( ~ sQ32_spl
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))),X0) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,plain,
( ~ sQ6_spl
| sQ32_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f151,f153,f156,f41]) ).
fof(f160,plain,
! [X0] :
( ~ sQ20_spl
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))),X0)
| p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference(resolution,[status(thm)],[f96,f8]) ).
fof(f162,definition,
( sQ33_spl
<=> p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ33_spl
| p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,definition,
! [X0] :
( sQ34_spl
<=> ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))),X0) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f166,plain,
! [X0] :
( ~ sQ34_spl
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))),X0) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( ~ sQ20_spl
| sQ34_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f160,f162,f165,f95]) ).
fof(f169,plain,
( ~ sQ13_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f69,f66]) ).
fof(f170,plain,
( ~ sQ13_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f169]) ).
fof(f174,plain,
! [X0] :
( ~ sQ14_spl
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),X0)
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(resolution,[status(thm)],[f72,f8]) ).
fof(f176,definition,
( sQ35_spl
<=> p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ35_spl
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,definition,
! [X0] :
( sQ36_spl
<=> ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),X0) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f180,plain,
! [X0] :
( ~ sQ36_spl
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),X0) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,plain,
( ~ sQ14_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f174,f176,f179,f71]) ).
fof(f183,plain,
( ~ sQ12_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f63,f51]) ).
fof(f184,plain,
( ~ sQ12_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f99,f90]) ).
fof(f187,plain,
( ~ sQ33_spl
| ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f163,f90]) ).
fof(f188,plain,
( ~ sQ19_spl
| ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f93,f90]) ).
fof(f190,plain,
( ~ sQ21_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f186]) ).
fof(f199,plain,
! [X0] :
( ~ sQ10_spl
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),X0)
| p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(resolution,[status(thm)],[f57,f8]) ).
fof(f201,definition,
( sQ37_spl
<=> p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ37_spl
| p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,definition,
! [X0] :
( sQ38_spl
<=> ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),X0) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f205,plain,
! [X0] :
( ~ sQ38_spl
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),X0) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( ~ sQ10_spl
| sQ38_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f199,f201,f204,f56]) ).
fof(f208,plain,
( ~ sQ23_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f112]) ).
fof(f209,plain,
( ~ sQ23_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f208]) ).
fof(f210,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f75,f66]) ).
fof(f212,plain,
( ~ sQ15_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f60,f51]) ).
fof(f215,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( ~ sQ33_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f187]) ).
fof(f225,plain,
! [X0] :
( ~ sQ24_spl
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))),X0)
| p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(resolution,[status(thm)],[f118,f8]) ).
fof(f226,plain,
! [X0] :
( ~ sQ24_spl
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))),X0,j2(X0))
| p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(X0)) ),
inference(resolution,[status(thm)],[f118,f6]) ).
fof(f227,definition,
( sQ39_spl
<=> p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ39_spl
| p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
! [X0] :
( sQ40_spl
<=> ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))),X0) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f231,plain,
! [X0] :
( ~ sQ40_spl
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))),X0) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( ~ sQ24_spl
| sQ40_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f225,f227,f230,f117]) ).
fof(f234,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ17_spl
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))),X0,j2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f226,f112]) ).
fof(f235,plain,
( ~ sQ39_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f228,f112]) ).
fof(f236,plain,
( ~ sQ39_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f235]) ).
fof(f238,plain,
! [X0] :
( ~ sQ2_spl
| ~ p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),X0) ),
inference(resolution,[status(thm)],[f28,f4]) ).
fof(f239,plain,
( ~ sQ35_spl
| ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f177,f66]) ).
fof(f241,plain,
( ~ sQ35_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f239]) ).
fof(f246,plain,
( ~ sQ9_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f51]) ).
fof(f247,plain,
( ~ sQ9_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( ~ sQ19_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f188]) ).
fof(f257,plain,
( ~ sQ25_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f121,f112]) ).
fof(f258,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( ~ sQ16_spl
| ~ sQ2_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f78,f238]) ).
fof(f262,plain,
( ~ sQ16_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f260]) ).
fof(f268,plain,
! [X0] :
( ~ sQ28_spl
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),X0)
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(resolution,[status(thm)],[f139,f8]) ).
fof(f269,plain,
! [X0] :
( ~ sQ28_spl
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))),X0,j2(X0))
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(X0)) ),
inference(resolution,[status(thm)],[f139,f6]) ).
fof(f270,definition,
( sQ41_spl
<=> p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ41_spl
| p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,definition,
! [X0] :
( sQ42_spl
<=> ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),X0) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f274,plain,
! [X0] :
( ~ sQ42_spl
| ~ p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),X0) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,plain,
( ~ sQ28_spl
| sQ42_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f268,f270,f273,f138]) ).
fof(f278,plain,
! [X0] :
( ~ sQ10_spl
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))),X0,j2(X0))
| p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(X0)) ),
inference(resolution,[status(thm)],[f57,f6]) ).
fof(f280,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ3_spl
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))),X0,j2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f51]) ).
fof(f283,plain,
( ~ sQ37_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f202,f51]) ).
fof(f284,plain,
( ~ sQ37_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f283]) ).
fof(f290,plain,
! [X0] :
( ~ sQ20_spl
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))),X0,j2(X0))
| p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(X0)) ),
inference(resolution,[status(thm)],[f96,f6]) ).
fof(f292,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ0_spl
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))),X0,j2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f290,f90]) ).
fof(f294,plain,
( ~ sQ34_spl
| ~ sQ20_spl
| ~ sQ0_spl
| $false ),
inference(resolution,[status(thm)],[f292,f166]) ).
fof(f296,plain,
( ~ sQ34_spl
| ~ sQ20_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f294]) ).
fof(f297,plain,
( ~ sQ31_spl
| ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f154,f34]) ).
fof(f298,plain,
( ~ sQ8_spl
| ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f48,f34]) ).
fof(f300,plain,
( ~ sQ31_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f297]) ).
fof(f313,plain,
( ~ sQ24_spl
| ~ sQ17_spl
| ~ sQ40_spl
| $false ),
inference(resolution,[status(thm)],[f231,f234]) ).
fof(f315,plain,
( ~ sQ24_spl
| ~ sQ17_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f313]) ).
fof(f319,plain,
( ~ sQ29_spl
| ~ sQ1_spl
| ~ sQ18_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f142,f133]) ).
fof(f320,plain,
( ~ sQ30_spl
| ~ sQ1_spl
| ~ sQ18_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f145,f133]) ).
fof(f321,plain,
( ~ sQ41_spl
| ~ sQ1_spl
| ~ sQ18_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f271,f133]) ).
fof(f322,plain,
( ~ sQ27_spl
| ~ sQ1_spl
| ~ sQ18_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f136,f133]) ).
fof(f324,plain,
( ~ sQ29_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f319]) ).
fof(f325,plain,
( ~ sQ30_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f320]) ).
fof(f326,plain,
( ~ sQ41_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f321]) ).
fof(f327,plain,
( ~ sQ27_spl
| ~ sQ1_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f322]) ).
fof(f329,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ18_spl
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))),X0,j2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f269,f133]) ).
fof(f335,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ42_spl
| $false ),
inference(resolution,[status(thm)],[f274,f329]) ).
fof(f337,plain,
( ~ sQ28_spl
| ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f335]) ).
fof(f343,plain,
! [X0] :
( ~ sQ14_spl
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),X0,j2(X0))
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(X0)) ),
inference(resolution,[status(thm)],[f72,f6]) ).
fof(f345,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ2_spl
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),X0,j2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f343,f66]) ).
fof(f346,plain,
( ~ sQ36_spl
| ~ sQ14_spl
| ~ sQ2_spl
| $false ),
inference(resolution,[status(thm)],[f345,f180]) ).
fof(f348,plain,
( ~ sQ36_spl
| ~ sQ14_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f346]) ).
fof(f352,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ3_spl
| $false ),
inference(resolution,[status(thm)],[f280,f205]) ).
fof(f354,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f298]) ).
fof(f357,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f39,f34]) ).
fof(f358,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f45,f34]) ).
fof(f360,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f357]) ).
fof(f361,plain,
( ~ sQ7_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f358]) ).
fof(f363,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ4_spl
| p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))),X0,j2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f152,f34]) ).
fof(f364,plain,
( ~ sQ32_spl
| ~ sQ6_spl
| ~ sQ4_spl
| $false ),
inference(resolution,[status(thm)],[f363,f157]) ).
fof(f366,plain,
( ~ sQ32_spl
| ~ sQ6_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f364]) ).
fof(f367,plain,
$false,
inference(sat_refutation,[status(thm)],[f36,f50,f65,f80,f89,f104,f106,f126,f128,f147,f159,f168,f170,f182,f184,f190,f207,f209,f212,f215,f216,f233,f236,f241,f247,f248,f258,f262,f276,f284,f296,f300,f315,f324,f325,f326,f327,f337,f348,f354,f355,f360,f361,f366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN313-1.001.002 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:48:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.03/0.36 % Drodi V4.1.1
% 0.03/0.40 % Refutation found
% 0.03/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/0.42 % Elapsed time: 0.058155 seconds
% 0.03/0.42 % CPU time: 0.289031 seconds
% 0.03/0.42 % Total memory used: 23.192 MB
% 0.03/0.42 % Net memory used: 22.397 MB
%------------------------------------------------------------------------------