TSTP Solution File: SYN313-1.001.002 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN313-1.001.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 11:59:09 EDT 2022
% Result : Unsatisfiable 0.40s 0.62s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 2
% Syntax : Number of clauses : 58 ( 5 unt; 52 nHn; 9 RR)
% Number of literals : 281 ( 0 equ; 4 neg)
% Maximal clause size : 10 ( 4 avg)
% Maximal term depth : 27 ( 8 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 99 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ p(X,f0(X),Y)
| ~ p(X,f1(Y),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause2,negated_conjecture,
( p(h0,X,j0(Y))
| p(h1(X),Z,j1(Y))
| p(h2(Z),Y,j2(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
cnf(3,plain,
( p(h0,X,j0(f0(h2(Y))))
| p(h1(X),Y,j1(f0(h2(Y))))
| p(h0,Z,j0(f1(j2(f0(h2(Y))))))
| p(h1(Z),Y,j1(f1(j2(f0(h2(Y)))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,clause2,clause2]) ).
cnf(4,plain,
( p(h0,X,j0(f0(h2(f0(h1(Y))))))
| p(h1(X),f0(h1(Y)),j1(f0(h2(f0(h1(Y))))))
| p(h0,Y,j0(f1(j2(f0(h2(f0(h1(Y))))))))
| p(h0,Z,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(Y))))))))))))
| p(h1(Z),f1(j1(f1(j2(f0(h2(f0(h1(Y)))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(Y))))))))))))
| p(h0,Y,j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(Y)))))))))))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,3,3]) ).
cnf(5,plain,
( p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,Y,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h1(Y),f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,Z,j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h1(Z),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(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(h0,U,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(h1(U),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))),j1(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('HYPERRESOLVE',[status(thm)],[clause1,4,4]) ).
cnf(6,plain,
( p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,Y,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h1(Y),f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j1(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(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,Z,j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h1(Z),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,5,3])]) ).
cnf(7,plain,
( p(h0,f0(h0),j0(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(h0,X,j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h1(X),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h0,Y,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(Y),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| p(h0,Z,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h1(Z),f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,6,4])]) ).
cnf(8,plain,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,X,j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h1(X),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h0,Y,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(Y),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| p(h0,Z,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h1(Z),f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,7,4])]) ).
cnf(9,plain,
( p(h0,f0(h0),j0(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(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| p(h0,Y,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h1(Y),f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,Z,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)))))))))))))))))))))))))
| p(h1(Z),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(f0(h2(f1(j1(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(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,8,3]) ).
cnf(10,plain,
( p(h0,f0(h0),j0(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(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h0,X,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)))))))))))))))))))))))))
| p(h1(X),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h0,Y,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(Y),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| p(h0,Z,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h1(Z),f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,9,4])]) ).
cnf(11,plain,
( p(h0,f0(h0),j0(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(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(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))))
| p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| p(h0,Y,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h1(Y),f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,10,8])]) ).
cnf(12,plain,
( p(h0,f0(h0),j0(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(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| p(h0,Y,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h1(Y),f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,11,4])]) ).
cnf(13,plain,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| p(h0,Y,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h1(Y),f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,12,4])]) ).
cnf(14,plain,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,13,3])]) ).
cnf(15,plain,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| p(h0,Y,j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(Y),f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(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(h0,Z,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(h1(Z),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(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('HYPERRESOLVE',[status(thm)],[clause1,14,4]) ).
cnf(16,plain,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(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(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,Y,j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(Y),f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,15,3])]) ).
cnf(17,plain,
( p(h0,f0(h0),j0(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(h0,X,j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(X),f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h0,Y,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(Y),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,16,14])]) ).
cnf(18,plain,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,X,j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(X),f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h0,Y,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(Y),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,17,14])]) ).
cnf(19,plain,
( p(h0,f0(h0),j0(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(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| p(h0,Y,j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h1(Y),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f0(h2(f1(j1(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(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,18,3]) ).
cnf(20,plain,
( p(h0,f0(h0),j0(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(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h0,X,j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h1(X),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h0,Y,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(Y),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,19,14])]) ).
cnf(21,plain,
( p(h0,f0(h0),j0(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(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(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,20,18])]) ).
cnf(22,plain,
( p(h0,f0(h0),j0(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(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,21,14])]) ).
cnf(23,plain,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,22,14])]) ).
cnf(24,plain,
( p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| p(h0,Y,j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| p(h1(Y),f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j1(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(h0,Z,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h1(Z),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,23,4]) ).
cnf(25,plain,
( p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(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(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,Y,j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| p(h1(Y),f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,24,3])]) ).
cnf(26,plain,
( 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(h0,X,j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| p(h1(X),f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| p(h0,Y,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(Y),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,25,23])]) ).
cnf(27,plain,
( p(h0,X,j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| p(h1(X),f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))
| p(h0,Y,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(Y),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,26,23])]) ).
cnf(28,plain,
( 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)))))))))))))))
| p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0)))))))
| p(h0,Y,j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(Y),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f1(j1(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(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,27,3]) ).
cnf(29,plain,
( 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)))))))))))))))
| p(h0,X,j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(X),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h0,Y,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(Y),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,28,23])]) ).
cnf(30,plain,
( 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)))))))))))))))
| 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)))))))))))))))))))
| p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,29,27])]) ).
cnf(31,plain,
( 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)))))))))))))))
| p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,30,23])]) ).
cnf(32,plain,
( p(h0,X,j0(f0(h2(f0(h1(f0(h0)))))))
| p(h1(X),f0(h1(f0(h0))),j1(f0(h2(f0(h1(f0(h0))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,31,23])]) ).
cnf(33,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,X,j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h1(X),f1(j1(f0(h2(f0(h1(f0(h0))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,32,3]) ).
cnf(34,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,X,j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h1(X),f1(j1(f0(h2(f0(h1(f0(h0))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,Y,j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(Y),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j1(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(h0,Z,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(h1(Z),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))),j1(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('HYPERRESOLVE',[status(thm)],[clause1,33,4]) ).
cnf(35,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,X,j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h1(X),f1(j1(f0(h2(f0(h1(f0(h0))))))),j1(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(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,Y,j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(Y),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,34,3])]) ).
cnf(36,plain,
( p(h0,f0(h0),j0(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(h0,X,j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(X),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h0,Y,j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h1(Y),f1(j1(f0(h2(f0(h1(f0(h0))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,35,33])]) ).
cnf(37,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,X,j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(X),f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h0,Y,j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h1(Y),f1(j1(f0(h2(f0(h1(f0(h0))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,36,33])]) ).
cnf(38,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| 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)))))))))))))))))))
| p(h0,X,j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h1(X),f1(j1(f0(h2(f0(h1(f0(h0))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,Y,j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h1(Y),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f0(h2(f1(j1(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(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,37,3]) ).
cnf(39,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| 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)))))))))))))))))))
| p(h0,X,j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h1(X),f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h0,Y,j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h1(Y),f1(j1(f0(h2(f0(h1(f0(h0))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,38,33])]) ).
cnf(40,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| 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)))))))))))))))))))
| 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)))))))))))))))))))))))
| p(h0,X,j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h1(X),f1(j1(f0(h2(f0(h1(f0(h0))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,39,37])]) ).
cnf(41,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| 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)))))))))))))))))))
| p(h0,X,j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h1(X),f1(j1(f0(h2(f0(h1(f0(h0))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,40,33])]) ).
cnf(42,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,X,j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h1(X),f1(j1(f0(h2(f0(h1(f0(h0))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,41,33])]) ).
cnf(43,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,42,32]) ).
cnf(44,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,X,j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))
| p(h1(X),f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j1(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(h0,Y,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))))
| p(h1(Y),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,43,4]) ).
cnf(45,plain,
( p(h0,f0(h0),j0(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(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,X,j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))
| p(h1(X),f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,44,3])]) ).
cnf(46,plain,
( p(h0,f0(h0),j0(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(h0,X,j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))
| p(h1(X),f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,45,43]) ).
cnf(47,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,X,j0(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))
| p(h1(X),f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,46,43]) ).
cnf(48,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| 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)))))))))))))))))
| p(h0,X,j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h1(X),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f0(h2(f1(j1(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(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,47,3]) ).
cnf(49,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| 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)))))))))))))))))
| p(h0,X,j0(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))))))
| p(h1(X),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),j1(f0(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))))) ),
inference('HYPERRESOLVE',[status(thm)],[clause1,48,43]) ).
cnf(50,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| 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)))))))))))))))))
| 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('HYPERRESOLVE',[status(thm)],[clause1,49,47]) ).
cnf(51,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| 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('HYPERRESOLVE',[status(thm)],[clause1,50,43]) ).
cnf(52,plain,
p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))),
inference('HYPERRESOLVE',[status(thm)],[clause1,51,43]) ).
cnf(53,plain,
~ p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),X),
inference('UR-RESOLVE',[status(thm)],[clause1,52]) ).
cnf(54,plain,
( p(h0,X,j0(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h1(X),f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,Y,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))))))))
| p(h1(Y),f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))),j1(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))))))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,52,4]),53]) ).
cnf(56,plain,
( p(h0,X,j0(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h1(X),f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))) ),
inference('CONDENSE',[status(thm)],[inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause1,54,3]),53])]) ).
cnf(57,plain,
p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))),j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),
inference('UR-RESOLVE',[status(thm)],[56,53]) ).
cnf(59,plain,
~ p(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))),f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),X),
inference('UR-RESOLVE',[status(thm)],[clause1,57]) ).
cnf(60,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[3,59,53,53,59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN313-1.001.002 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 05:29:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T05:29:32
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-12T05:29:32
% 0.40/0.62
% 0.40/0.62
% 0.40/0.62 #||
% 0.40/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.62 % SZS output start Refutation
% See solution above
% 0.47/0.66 ||#
% 0.47/0.66
% 0.47/0.66 ; Summary of computation:
% 0.47/0.66 ; 74 formulas have been input or derived (from 59 formulas).
% 0.47/0.66 ; 60 (81%) were retained. Of these,
% 0.47/0.66 ; 47 (78%) were simplified or subsumed later,
% 0.47/0.66 ; 13 (22%) are still being kept.
% 0.47/0.66 ;
% 0.47/0.66 ; Run time in seconds excluding printing time:
% 0.47/0.66 ; 0.001 1% Read assertion file (1 call)
% 0.47/0.66 ; 0.000 0% Assert (2 calls)
% 0.47/0.66 ; 0.028 18% Process new row (65 calls)
% 0.47/0.66 ; 0.018 12% Resolution (116 calls)
% 0.47/0.66 ; 0.007 5% Paramodulation (58 calls)
% 0.47/0.66 ; 0.001 1% Factoring (52 calls)
% 0.47/0.66 ; 0.005 3% Condensing (59 calls)
% 0.47/0.66 ; 0.015 10% Forward subsumption (59 calls)
% 0.47/0.66 ; 0.022 14% Backward subsumption (54 calls)
% 0.47/0.66 ; 0.002 1% Clause clause subsumption (155 calls)
% 0.47/0.66 ; 0.004 3% Forward simplification (65 calls)
% 0.47/0.66 ; 0.000 0% Backward simplification (60 calls)
% 0.47/0.66 ; 0.027 18% Ordering (1,210 calls)
% 0.47/0.66 ; 0.001 1% Sortal reasoning (32 calls)
% 0.47/0.66 ; 0.000 0% Purity testing (1 call)
% 0.47/0.66 ; 0.023 15% Other
% 0.47/0.66 ; 0.154 Total
% 0.47/0.66 ; 0.188 Real time
% 0.47/0.66 ;
% 0.47/0.66 ; Term-hash-array has 315 terms in all.
% 0.47/0.66 ; Feature-vector-row-index has 7 entries (10 at peak, 54 added, 47 deleted).
% 0.47/0.66 ; Feature-vector-row-index has 108 nodes (179 at peak, 1,259 added, 1,151 deleted).
% 0.47/0.66 ; Retrieved 116 possibly forward subsuming rows in 59 calls.
% 0.47/0.66 ; Retrieved 43 possibly backward subsumed rows in 54 calls.
% 0.47/0.66 ; Path-index has 80 entries (99 at peak, 579 added, 499 deleted).
% 0.47/0.66 ; Path-index has 1,837 nodes (1,837 at peak, 2,357 added, 520 deleted).
% 0.47/0.66 ; Trie-index has 80 entries (99 at peak, 579 added, 499 deleted).
% 0.47/0.66 ; Trie-index has 512 nodes (758 at peak, 6,962 added, 6,450 deleted).
% 0.47/0.66 ; Retrieved 7 generalization terms in 27 calls.
% 0.47/0.66 ; Retrieved 5 instance terms in 5 calls.
% 0.47/0.66 ; Retrieved 868 unifiable terms in 1,633 calls.
% 0.47/0.66 ;
% 0.47/0.66 ; The agenda of rows to process has 6 entries:
% 0.47/0.66 ; 1 with value 89 1 with value 103 1 with value 117
% 0.47/0.66 ; 1 with value 99 1 with value 113 1 with value 191
% 0.47/0.66 ; The agenda of rows to give has 1 entry:
% 0.47/0.66 ; 1 with value (4 141)
% 0.47/0.66 Evaluation took:
% 0.47/0.66 0.189 seconds of real time
% 0.47/0.66 0.1764 seconds of user run time
% 0.47/0.66 0.012071 seconds of system run time
% 0.47/0.66 [Run times include 0.007 seconds GC run time.]
% 0.47/0.66 0 calls to %EVAL
% 0.47/0.66 0 page faults and
% 0.47/0.66 44,112,128 bytes consed.
% 0.47/0.66 :PROOF-FOUND
% 0.47/0.66 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T05:29:33
% 0.47/0.66 :PROOF-FOUND
% 0.47/0.66 *
%------------------------------------------------------------------------------