%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN313-1.001.002 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Thu Sep 24 03:19:19 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----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 -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.51 % Computer : n008.cluster.edu
% 0.09/0.51 % Model : x86_64 x86_64
% 0.09/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51 % Memory : 8046.5625MB
% 0.09/0.51 % OS : Linux 6.8.0-71-generic
% 0.09/0.51 % CPULimit : 300
% 0.09/0.51 % WCLimit : 300
% 0.09/0.51 % DateTime : Mon Sep 21 10:49:39 UTC 2026
% 0.09/0.51 % CPUTime :
% 0.09/0.52 % Drodi V4.1.1
% 0.09/0.55 % Refutation found
% 0.09/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.55 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.55 fof(f1,negated_conjecture,(
% 0.09/0.55 (![X0,X1,X2]: (( ~ p(X0,f0(X0),X1)| ~ p(X0,f1(X1),X2) ) ))),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f2,negated_conjecture,(
% 0.09/0.55 (![Y0,Y2,Y1]: (( p(h0,Y0,j0(Y2))| p(h1(Y0),Y1,j1(Y2))| p(h2(Y1),Y2,j2(Y2)) ) ))),
% 0.09/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55 fof(f3,plain,(
% 0.09/0.55 ![X0,X1]: (~p(X0,f0(X0),X1)|(![X2]: ~p(X0,f1(X1),X2)))),
% 0.09/0.55 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.55 fof(f4,plain,(
% 0.09/0.55 ![X0,X1,X2]: (~p(X0,f0(X0),X1)|~p(X0,f1(X1),X2))),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.55 fof(f5,plain,(
% 0.09/0.55 ![Y2,Y1]: ((![Y0]: (p(h0,Y0,j0(Y2))|p(h1(Y0),Y1,j1(Y2))))|p(h2(Y1),Y2,j2(Y2)))),
% 0.09/0.55 inference(miniscoping,[status(thm)],[f2])).
% 0.09/0.55 fof(f6,plain,(
% 0.09/0.55 ![X0,X1,X2]: (p(h0,X0,j0(X1))|p(h1(X0),X2,j1(X1))|p(h2(X2),X1,j2(X1)))),
% 0.09/0.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.55 fof(f7,plain,(
% 0.09/0.55 ![X0,X1,X2]: (p(h0,X0,j0(X1))|p(h2(f0(h1(X0))),X1,j2(X1))|~p(h1(X0),f1(j1(X1)),X2))),
% 0.09/0.55 inference(resolution,[status(thm)],[f6,f4])).
% 0.09/0.55 fof(f8,plain,(
% 0.09/0.55 ![X0,X1,X2]: (p(h0,X0,j0(f0(h2(X1))))|p(h1(X0),X1,j1(f0(h2(X1))))|~p(h2(X1),f1(j2(f0(h2(X1)))),X2))),
% 0.09/0.55 inference(resolution,[status(thm)],[f6,f4])).
% 0.09/0.55 fof(f9,plain,(
% 0.09/0.55 ![X0,X1,X2]: (p(h0,X0,j0(f0(h2(f0(h1(X0))))))|~p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X1)|~p(h2(f0(h1(X0))),f1(j2(f0(h2(f0(h1(X0)))))),X2))),
% 0.09/0.55 inference(resolution,[status(thm)],[f7,f4])).
% 0.09/0.55 fof(f11,plain,(
% 0.09/0.55 ![X0,X1,X2]: (p(h0,X0,j0(f0(h2(f0(h1(X0))))))|~p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X1)|p(h0,X0,j0(f1(j2(f0(h2(f0(h1(X0))))))))|~p(h1(X0),f1(j1(f1(j2(f0(h2(f0(h1(X0)))))))),X2))),
% 0.09/0.55 inference(resolution,[status(thm)],[f9,f7])).
% 0.09/0.55 fof(f13,plain,(
% 0.09/0.55 ![X0,X1,X2]: (p(h0,X0,j0(f0(h2(f0(h1(X0))))))|~p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X1)|p(h0,X0,j0(f1(j2(f0(h2(f0(h1(X0))))))))|p(h0,X0,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(X0))))))))))))|~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))),
% 0.09/0.55 inference(resolution,[status(thm)],[f11,f8])).
% 0.09/0.55 fof(f14,plain,(
% 0.09/0.55 ![X0,X1,X2]: (p(h0,X0,j0(f0(h2(f0(h1(X0))))))|~p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X1)|p(h0,X0,j0(f1(j2(f0(h2(f0(h1(X0))))))))|p(h0,X0,j0(X2))|p(h2(f1(j1(f1(j2(f0(h2(f0(h1(X0))))))))),X2,j2(X2)))),
% 0.09/0.55 inference(resolution,[status(thm)],[f11,f6])).
% 0.09/0.55 fof(f17,plain,(
% 0.09/0.55 ![X0,X1,X2]: (p(h0,X0,j0(f0(h2(f0(h1(X0))))))|~p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X1)|p(h0,X0,j0(f1(j2(f0(h2(f0(h1(X0))))))))|p(h0,X0,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(X0))))))))))))|p(h0,X0,j0(f0(h2(f0(h1(X0))))))|~p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X2)|p(h0,X0,j0(f1(j2(f0(h2(f0(h1(X0))))))))|p(h0,X0,j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(X0)))))))))))))))),
% 0.09/0.55 inference(resolution,[status(thm)],[f13,f14])).
% 0.09/0.55 fof(f19,plain,(
% 0.09/0.55 ![X0,X1,X2]: (p(h0,X0,j0(f0(h2(f0(h1(X0))))))|~p(h1(X0),f1(j1(f0(h2(f0(h1(X0)))))),X1)|p(h0,X0,j0(f1(j2(f0(h2(f0(h1(X0))))))))|p(h0,X0,j0(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(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(X0)))))))))))))))),
% 0.09/0.55 inference(duplicate_literals_removal,[status(thm)],[f17])).
% 0.09/0.55 fof(f20,plain,(
% 0.09/0.55 ![X0,X1,X2]: (p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))|~p(h1(f0(h0)),f1(j1(f0(h2(f0(h1(f0(h0))))))),X0)|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(h1(f0(h0)),f1(j1(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))))))))))))))),X2))),
% 0.09/0.55 inference(resolution,[status(thm)],[f19,f4])).
% 0.09/0.55 fof(f21,definition,(
% 0.09/0.55 sQ0_spl <=> (p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f22,plain,(
% 0.09/0.55 p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))|~sQ0_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f21])).
% 0.09/0.55 fof(f24,definition,(
% 0.09/0.55 ![X0]: (sQ1_spl <=> (~p(h1(f0(h0)),f1(j1(f0(h2(f0(h1(f0(h0))))))),X0)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f25,plain,(
% 0.09/0.55 ![X0]: (~p(h1(f0(h0)),f1(j1(f0(h2(f0(h1(f0(h0))))))),X0)|~sQ1_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f24])).
% 0.09/0.55 fof(f27,definition,(
% 0.09/0.55 sQ2_spl <=> (p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f28,plain,(
% 0.09/0.55 p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))|~sQ2_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f27])).
% 0.09/0.55 fof(f30,definition,(
% 0.09/0.55 sQ3_spl <=> (p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f31,plain,(
% 0.09/0.55 p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))|~sQ3_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f30])).
% 0.09/0.55 fof(f33,definition,(
% 0.09/0.55 ![X2]: (sQ4_spl <=> (~p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),X2)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f34,plain,(
% 0.09/0.55 ![X0]: (~p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),X0)|~sQ4_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f33])).
% 0.09/0.55 fof(f36,plain,(
% 0.09/0.55 sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|sQ4_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f20,f21,f24,f27,f30,f33])).
% 0.09/0.55 fof(f37,plain,(
% 0.09/0.55 ![X0,X1]: (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(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(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(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)|~sQ4_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f34,f19])).
% 0.09/0.55 fof(f38,definition,(
% 0.09/0.55 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))))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f39,plain,(
% 0.09/0.55 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)))))))))))))))))))))|~sQ5_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f38])).
% 0.09/0.55 fof(f41,definition,(
% 0.09/0.55 ![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)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f42,plain,(
% 0.09/0.55 ![X0]: (~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)|~sQ6_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f41])).
% 0.09/0.55 fof(f44,definition,(
% 0.09/0.55 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))))))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f45,plain,(
% 0.09/0.55 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)))))))))))))))))))))))|~sQ7_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f44])).
% 0.09/0.55 fof(f47,definition,(
% 0.09/0.55 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))))))))))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f48,plain,(
% 0.09/0.55 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)))))))))))))))))))))))))))|~sQ8_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f47])).
% 0.09/0.55 fof(f50,plain,(
% 0.09/0.55 sQ5_spl|sQ6_spl|sQ7_spl|sQ8_spl|~sQ4_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f37,f38,f41,f44,f47,f33])).
% 0.09/0.55 fof(f53,plain,(
% 0.09/0.55 ![X0]: (~p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),X0)|~sQ3_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f31,f4])).
% 0.09/0.55 fof(f54,plain,(
% 0.09/0.55 ![X0,X1]: (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(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(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(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)|~sQ3_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f53,f19])).
% 0.09/0.55 fof(f55,definition,(
% 0.09/0.55 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))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f56,plain,(
% 0.09/0.55 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)))))))))))))))))))|~sQ9_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f55])).
% 0.09/0.55 fof(f58,definition,(
% 0.09/0.55 ![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)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f59,plain,(
% 0.09/0.55 ![X0]: (~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)|~sQ10_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f58])).
% 0.09/0.55 fof(f61,definition,(
% 0.09/0.55 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))))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f62,plain,(
% 0.09/0.55 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)))))))))))))))))))))|~sQ11_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f61])).
% 0.09/0.55 fof(f64,definition,(
% 0.09/0.55 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))))))))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f65,plain,(
% 0.09/0.55 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)))))))))))))))))))))))))|~sQ12_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f64])).
% 0.09/0.55 fof(f67,plain,(
% 0.09/0.55 sQ9_spl|sQ10_spl|sQ11_spl|sQ12_spl|~sQ3_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f54,f55,f58,f61,f64,f30])).
% 0.09/0.55 fof(f68,plain,(
% 0.09/0.55 ![X0]: (~p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),X0)|~sQ2_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f28,f4])).
% 0.09/0.55 fof(f69,plain,(
% 0.09/0.55 ![X0,X1]: (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(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(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(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)|~sQ2_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f68,f19])).
% 0.09/0.55 fof(f70,definition,(
% 0.09/0.55 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))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f71,plain,(
% 0.09/0.55 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)))))))))))))))|~sQ13_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f70])).
% 0.09/0.55 fof(f73,definition,(
% 0.09/0.55 ![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)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f74,plain,(
% 0.09/0.55 ![X0]: (~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)|~sQ14_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f73])).
% 0.09/0.55 fof(f76,definition,(
% 0.09/0.55 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))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f77,plain,(
% 0.09/0.55 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)))))))))))))))))|~sQ15_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f76])).
% 0.09/0.55 fof(f79,definition,(
% 0.09/0.55 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))))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f80,plain,(
% 0.09/0.55 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)))))))))))))))))))))|~sQ16_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f79])).
% 0.09/0.55 fof(f82,plain,(
% 0.09/0.55 sQ13_spl|sQ14_spl|sQ15_spl|sQ16_spl|~sQ2_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f69,f70,f73,f76,f79,f27])).
% 0.09/0.55 fof(f83,plain,(
% 0.09/0.55 ![X0]: (p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))|~p(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),X0)|~sQ1_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f25,f8])).
% 0.09/0.55 fof(f84,plain,(
% 0.09/0.55 ![X0]: (p(h0,f0(h0),j0(X0))|p(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))),X0,j2(X0))|~sQ1_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f25,f6])).
% 0.09/0.55 fof(f85,definition,(
% 0.09/0.55 sQ17_spl <=> (p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f86,plain,(
% 0.09/0.55 p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))|~sQ17_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f85])).
% 0.09/0.55 fof(f88,definition,(
% 0.09/0.55 ![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)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f89,plain,(
% 0.09/0.55 ![X0]: (~p(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))),f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),X0)|~sQ18_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f88])).
% 0.09/0.55 fof(f91,plain,(
% 0.09/0.55 sQ17_spl|sQ18_spl|~sQ1_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f83,f85,f88,f24])).
% 0.09/0.55 fof(f92,plain,(
% 0.09/0.55 ![X0]: (~p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),X0)|~sQ0_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f22,f4])).
% 0.09/0.55 fof(f93,plain,(
% 0.09/0.55 ![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)))))))))))))))))))))))))|~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)|~sQ6_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f42,f8])).
% 0.09/0.55 fof(f94,plain,(
% 0.09/0.55 ![X0]: (p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),j0(X0))|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))|~sQ6_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f42,f6])).
% 0.09/0.55 fof(f95,definition,(
% 0.09/0.55 sQ19_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))))))))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f96,plain,(
% 0.09/0.55 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)))))))))))))))))))))))))|~sQ19_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f95])).
% 0.09/0.55 fof(f98,definition,(
% 0.09/0.55 ![X0]: (sQ20_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)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f99,plain,(
% 0.09/0.55 ![X0]: (~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)|~sQ20_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f98])).
% 0.09/0.55 fof(f101,plain,(
% 0.09/0.55 sQ19_spl|sQ20_spl|~sQ6_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f93,f95,f98,f41])).
% 0.09/0.55 fof(f102,plain,(
% 0.09/0.55 ![X0,X1]: (p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(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(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(f0(h2(f1(j1(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))))))))))))),X1)|~sQ0_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f92,f19])).
% 0.09/0.55 fof(f103,definition,(
% 0.09/0.55 sQ21_spl <=> (p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f104,plain,(
% 0.09/0.55 p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))|~sQ21_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f103])).
% 0.09/0.55 fof(f106,definition,(
% 0.09/0.55 ![X0]: (sQ22_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)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f107,plain,(
% 0.09/0.55 ![X0]: (~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)|~sQ22_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f106])).
% 0.09/0.55 fof(f109,definition,(
% 0.09/0.55 sQ23_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))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f110,plain,(
% 0.09/0.55 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)))))))))))))))|~sQ23_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f109])).
% 0.09/0.55 fof(f112,definition,(
% 0.09/0.55 sQ24_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))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f113,plain,(
% 0.09/0.55 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)))))))))))))))))))|~sQ24_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f112])).
% 0.09/0.55 fof(f115,plain,(
% 0.09/0.55 sQ21_spl|sQ22_spl|sQ23_spl|sQ24_spl|~sQ0_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f102,f103,f106,f109,f112,f21])).
% 0.09/0.55 fof(f116,plain,(
% 0.09/0.55 $false|~sQ0_spl|~sQ24_spl),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f113,f92])).
% 0.09/0.55 fof(f117,plain,(
% 0.09/0.55 ~sQ0_spl|~sQ24_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f116])).
% 0.09/0.55 fof(f121,plain,(
% 0.09/0.55 ![X0]: (~p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),X0)|~sQ17_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f86,f4])).
% 0.09/0.55 fof(f126,plain,(
% 0.09/0.55 ![X0,X1]: (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(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(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(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)|~sQ17_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f121,f19])).
% 0.09/0.55 fof(f127,definition,(
% 0.09/0.55 sQ25_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))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f128,plain,(
% 0.09/0.55 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)))))))))))))))))|~sQ25_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f127])).
% 0.09/0.55 fof(f130,definition,(
% 0.09/0.55 ![X0]: (sQ26_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)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f131,plain,(
% 0.09/0.55 ![X0]: (~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)|~sQ26_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f130])).
% 0.09/0.55 fof(f133,definition,(
% 0.09/0.55 sQ27_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))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f134,plain,(
% 0.09/0.55 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)))))))))))))))))))|~sQ27_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f133])).
% 0.09/0.55 fof(f136,definition,(
% 0.09/0.55 sQ28_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))))))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f137,plain,(
% 0.09/0.55 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)))))))))))))))))))))))|~sQ28_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f136])).
% 0.09/0.55 fof(f139,plain,(
% 0.09/0.55 sQ25_spl|sQ26_spl|sQ27_spl|sQ28_spl|~sQ17_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f126,f127,f130,f133,f136,f85])).
% 0.09/0.55 fof(f140,plain,(
% 0.09/0.55 $false|~sQ17_spl|~sQ28_spl),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f137,f121])).
% 0.09/0.55 fof(f141,plain,(
% 0.09/0.55 ~sQ17_spl|~sQ28_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f140])).
% 0.09/0.55 fof(f142,plain,(
% 0.09/0.55 p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))|~sQ1_spl|~sQ18_spl),
% 0.09/0.55 inference(resolution,[status(thm)],[f84,f89])).
% 0.09/0.55 fof(f145,plain,(
% 0.09/0.55 ![X0]: (~p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),X0)|~sQ1_spl|~sQ18_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f142,f4])).
% 0.09/0.55 fof(f151,definition,(
% 0.09/0.55 ![X0]: (sQ30_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)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f152,plain,(
% 0.09/0.55 ![X0]: (~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)|~sQ30_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f151])).
% 0.09/0.55 fof(f155,plain,(
% 0.09/0.55 ![X0,X1]: (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(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(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(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)|~sQ1_spl|~sQ18_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f145,f19])).
% 0.09/0.55 fof(f156,definition,(
% 0.09/0.55 sQ31_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))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f157,plain,(
% 0.09/0.55 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)))))))))))))))))))|~sQ31_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f156])).
% 0.09/0.55 fof(f159,definition,(
% 0.09/0.55 ![X0]: (sQ32_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)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f160,plain,(
% 0.09/0.55 ![X0]: (~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)|~sQ32_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f159])).
% 0.09/0.55 fof(f162,definition,(
% 0.09/0.55 sQ33_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))))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f163,plain,(
% 0.09/0.55 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)))))))))))))))))))))|~sQ33_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f162])).
% 0.09/0.55 fof(f165,definition,(
% 0.09/0.55 sQ34_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))))))))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f166,plain,(
% 0.09/0.55 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)))))))))))))))))))))))))|~sQ34_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f165])).
% 0.09/0.55 fof(f168,plain,(
% 0.09/0.55 sQ31_spl|sQ32_spl|sQ33_spl|sQ34_spl|~sQ1_spl|~sQ18_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f155,f156,f159,f162,f165,f24,f88])).
% 0.09/0.55 fof(f172,plain,(
% 0.09/0.55 ![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)))))))))))))))))|~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)|~sQ22_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f107,f8])).
% 0.09/0.55 fof(f174,definition,(
% 0.09/0.55 sQ35_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))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f175,plain,(
% 0.09/0.55 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)))))))))))))))))|~sQ35_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f174])).
% 0.09/0.55 fof(f177,definition,(
% 0.09/0.55 ![X0]: (sQ36_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)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f178,plain,(
% 0.09/0.55 ![X0]: (~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)|~sQ36_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f177])).
% 0.09/0.55 fof(f180,plain,(
% 0.09/0.55 sQ35_spl|sQ36_spl|~sQ22_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f172,f174,f177,f106])).
% 0.09/0.55 fof(f181,plain,(
% 0.09/0.55 $false|~sQ2_spl|~sQ16_spl),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f80,f68])).
% 0.09/0.55 fof(f182,plain,(
% 0.09/0.55 ~sQ2_spl|~sQ16_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f181])).
% 0.09/0.55 fof(f184,plain,(
% 0.09/0.55 $false|~sQ3_spl|~sQ11_spl),
% 0.09/0.55 inference(backward_subsumption_resolution,[status(thm)],[f62,f53])).
% 0.09/0.55 fof(f185,plain,(
% 0.09/0.55 $false|~sQ3_spl|~sQ9_spl),
% 0.09/0.55 inference(backward_subsumption_resolution,[status(thm)],[f56,f53])).
% 0.09/0.55 fof(f186,plain,(
% 0.09/0.55 $false|~sQ3_spl|~sQ12_spl),
% 0.09/0.55 inference(backward_subsumption_resolution,[status(thm)],[f65,f53])).
% 0.09/0.55 fof(f188,plain,(
% 0.09/0.55 ~sQ3_spl|~sQ11_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f184])).
% 0.09/0.55 fof(f189,plain,(
% 0.09/0.55 $false|~sQ0_spl|~sQ23_spl),
% 0.09/0.55 inference(backward_subsumption_resolution,[status(thm)],[f110,f92])).
% 0.09/0.55 fof(f190,plain,(
% 0.09/0.55 $false|~sQ0_spl|~sQ21_spl),
% 0.09/0.55 inference(backward_subsumption_resolution,[status(thm)],[f104,f92])).
% 0.09/0.55 fof(f192,plain,(
% 0.09/0.55 ~sQ0_spl|~sQ23_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f189])).
% 0.09/0.55 fof(f201,plain,(
% 0.09/0.55 ![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)))))))))))))))))))|~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)|~sQ14_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f74,f8])).
% 0.09/0.55 fof(f202,plain,(
% 0.09/0.55 ![X0]: (p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(X0))|p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),X0,j2(X0))|~sQ14_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f74,f6])).
% 0.09/0.55 fof(f203,definition,(
% 0.09/0.55 sQ37_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))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f204,plain,(
% 0.09/0.55 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)))))))))))))))))))|~sQ37_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f203])).
% 0.09/0.55 fof(f206,definition,(
% 0.09/0.55 ![X0]: (sQ38_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)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f207,plain,(
% 0.09/0.55 ![X0]: (~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)|~sQ38_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f206])).
% 0.09/0.55 fof(f209,plain,(
% 0.09/0.55 sQ37_spl|sQ38_spl|~sQ14_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f201,f203,f206,f73])).
% 0.09/0.55 fof(f211,plain,(
% 0.09/0.55 $false|~sQ17_spl|~sQ25_spl),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f128,f121])).
% 0.09/0.55 fof(f212,plain,(
% 0.09/0.55 ~sQ17_spl|~sQ25_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f211])).
% 0.09/0.55 fof(f213,plain,(
% 0.09/0.55 ![X0]: (~p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),X0)|~sQ2_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f28,f4])).
% 0.09/0.55 fof(f214,plain,(
% 0.09/0.55 $false|~sQ2_spl|~sQ13_spl),
% 0.09/0.55 inference(backward_subsumption_resolution,[status(thm)],[f71,f68])).
% 0.09/0.55 fof(f215,plain,(
% 0.09/0.55 $false|~sQ2_spl|~sQ15_spl),
% 0.09/0.55 inference(backward_subsumption_resolution,[status(thm)],[f77,f68])).
% 0.09/0.55 fof(f217,plain,(
% 0.09/0.55 ~sQ2_spl|~sQ13_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f214])).
% 0.09/0.55 fof(f218,plain,(
% 0.09/0.55 ~sQ3_spl|~sQ9_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f185])).
% 0.09/0.55 fof(f219,plain,(
% 0.09/0.55 ~sQ0_spl|~sQ21_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f190])).
% 0.09/0.55 fof(f228,plain,(
% 0.09/0.55 $false|~sQ17_spl|~sQ27_spl),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f134,f121])).
% 0.09/0.55 fof(f229,plain,(
% 0.09/0.55 ~sQ17_spl|~sQ27_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f228])).
% 0.09/0.55 fof(f230,plain,(
% 0.09/0.55 ~sQ2_spl|~sQ15_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f215])).
% 0.09/0.55 fof(f231,plain,(
% 0.09/0.55 ~sQ3_spl|~sQ12_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f186])).
% 0.09/0.55 fof(f233,plain,(
% 0.09/0.55 $false|~sQ0_spl|~sQ35_spl),
% 0.09/0.55 inference(backward_subsumption_resolution,[status(thm)],[f175,f92])).
% 0.09/0.55 fof(f235,plain,(
% 0.09/0.55 ~sQ0_spl|~sQ35_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f233])).
% 0.09/0.55 fof(f244,plain,(
% 0.09/0.55 ![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)))))))))))))))))))))|~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)|~sQ26_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f131,f8])).
% 0.09/0.55 fof(f245,plain,(
% 0.09/0.55 ![X0]: (p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),j0(X0))|p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))),X0,j2(X0))|~sQ26_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f131,f6])).
% 0.09/0.55 fof(f246,definition,(
% 0.09/0.55 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))))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f247,plain,(
% 0.09/0.55 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)))))))))))))))))))))|~sQ39_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f246])).
% 0.09/0.55 fof(f249,definition,(
% 0.09/0.55 ![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)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f250,plain,(
% 0.09/0.55 ![X0]: (~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)|~sQ40_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f249])).
% 0.09/0.55 fof(f252,plain,(
% 0.09/0.55 sQ39_spl|sQ40_spl|~sQ26_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f244,f246,f249,f130])).
% 0.09/0.55 fof(f253,plain,(
% 0.09/0.55 ![X0]: (p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))))),X0,j2(X0))|~sQ17_spl|~sQ26_spl)),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f245,f121])).
% 0.09/0.55 fof(f254,plain,(
% 0.09/0.55 $false|~sQ17_spl|~sQ39_spl),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f247,f121])).
% 0.09/0.55 fof(f255,plain,(
% 0.09/0.55 ~sQ17_spl|~sQ39_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f254])).
% 0.09/0.55 fof(f258,plain,(
% 0.09/0.55 $false|~sQ2_spl|~sQ37_spl),
% 0.09/0.55 inference(backward_subsumption_resolution,[status(thm)],[f204,f68])).
% 0.09/0.55 fof(f260,plain,(
% 0.09/0.55 ~sQ2_spl|~sQ37_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f258])).
% 0.09/0.55 fof(f267,plain,(
% 0.09/0.55 ![X0]: (p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),j0(X0))|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))|~sQ10_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f59,f6])).
% 0.09/0.55 fof(f269,plain,(
% 0.09/0.55 ![X0]: (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))|~sQ3_spl|~sQ10_spl)),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f267,f53])).
% 0.09/0.55 fof(f271,plain,(
% 0.09/0.55 $false|~sQ3_spl|~sQ10_spl|~sQ30_spl),
% 0.09/0.55 inference(resolution,[status(thm)],[f269,f152])).
% 0.09/0.55 fof(f272,plain,(
% 0.09/0.55 ![X0]: (~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)|~sQ3_spl|~sQ10_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f269,f4])).
% 0.09/0.55 fof(f273,plain,(
% 0.09/0.55 ~sQ3_spl|~sQ10_spl|~sQ30_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f271])).
% 0.09/0.55 fof(f274,plain,(
% 0.09/0.55 sQ30_spl|~sQ3_spl|~sQ10_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f272,f151,f30,f58])).
% 0.09/0.55 fof(f275,plain,(
% 0.09/0.55 $false|~sQ4_spl|~sQ19_spl),
% 0.09/0.55 inference(backward_subsumption_resolution,[status(thm)],[f96,f34])).
% 0.09/0.55 fof(f276,plain,(
% 0.09/0.55 $false|~sQ4_spl|~sQ8_spl),
% 0.09/0.55 inference(backward_subsumption_resolution,[status(thm)],[f48,f34])).
% 0.09/0.55 fof(f278,plain,(
% 0.09/0.55 ~sQ4_spl|~sQ19_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f275])).
% 0.09/0.55 fof(f284,plain,(
% 0.09/0.55 ![X0]: (p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(X0))|p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))),X0,j2(X0))|~sQ22_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f107,f6])).
% 0.09/0.55 fof(f286,plain,(
% 0.09/0.55 ![X0]: (p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))))))),X0,j2(X0))|~sQ0_spl|~sQ22_spl)),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f284,f92])).
% 0.09/0.55 fof(f287,plain,(
% 0.09/0.55 $false|~sQ0_spl|~sQ22_spl|~sQ36_spl),
% 0.09/0.55 inference(resolution,[status(thm)],[f286,f178])).
% 0.09/0.55 fof(f289,plain,(
% 0.09/0.55 ~sQ0_spl|~sQ22_spl|~sQ36_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f287])).
% 0.09/0.55 fof(f293,plain,(
% 0.09/0.55 $false|~sQ1_spl|~sQ18_spl|~sQ31_spl),
% 0.09/0.55 inference(backward_subsumption_resolution,[status(thm)],[f157,f145])).
% 0.09/0.55 fof(f295,plain,(
% 0.09/0.55 ~sQ1_spl|~sQ18_spl|~sQ31_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f293])).
% 0.09/0.55 fof(f302,plain,(
% 0.09/0.55 ![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)))))))))))))))))))))))|~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)|~sQ32_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f160,f8])).
% 0.09/0.55 fof(f303,plain,(
% 0.09/0.55 ![X0]: (p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),j0(X0))|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))|~sQ32_spl)),
% 0.09/0.55 inference(resolution,[status(thm)],[f160,f6])).
% 0.09/0.55 fof(f304,definition,(
% 0.09/0.55 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))))))))))))))))))))))))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f305,plain,(
% 0.09/0.55 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)))))))))))))))))))))))|~sQ41_spl),
% 0.09/0.55 inference(component_clause,[status(thm)],[f304])).
% 0.09/0.55 fof(f307,definition,(
% 0.09/0.55 ![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)))),
% 0.09/0.55 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.09/0.55 fof(f308,plain,(
% 0.09/0.55 ![X0]: (~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)|~sQ42_spl)),
% 0.09/0.55 inference(component_clause,[status(thm)],[f307])).
% 0.09/0.55 fof(f310,plain,(
% 0.09/0.55 sQ41_spl|sQ42_spl|~sQ32_spl),
% 0.09/0.55 inference(split_clause,[status(thm)],[f302,f304,f307,f159])).
% 0.09/0.55 fof(f311,plain,(
% 0.09/0.55 ![X0]: (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))|~sQ1_spl|~sQ18_spl|~sQ32_spl)),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f303,f145])).
% 0.09/0.55 fof(f312,plain,(
% 0.09/0.55 $false|~sQ1_spl|~sQ18_spl|~sQ41_spl),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f305,f145])).
% 0.09/0.55 fof(f313,plain,(
% 0.09/0.55 ~sQ1_spl|~sQ18_spl|~sQ41_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f312])).
% 0.09/0.55 fof(f314,plain,(
% 0.09/0.55 $false|~sQ1_spl|~sQ18_spl|~sQ33_spl),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f163,f145])).
% 0.09/0.55 fof(f315,plain,(
% 0.09/0.55 ~sQ1_spl|~sQ18_spl|~sQ33_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f314])).
% 0.09/0.55 fof(f318,plain,(
% 0.09/0.55 $false|~sQ1_spl|~sQ18_spl|~sQ34_spl),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f166,f145])).
% 0.09/0.55 fof(f319,plain,(
% 0.09/0.55 ~sQ1_spl|~sQ18_spl|~sQ34_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f318])).
% 0.09/0.55 fof(f326,plain,(
% 0.09/0.55 $false|~sQ42_spl|~sQ1_spl|~sQ18_spl|~sQ32_spl),
% 0.09/0.55 inference(resolution,[status(thm)],[f308,f311])).
% 0.09/0.55 fof(f328,plain,(
% 0.09/0.55 ~sQ42_spl|~sQ1_spl|~sQ18_spl|~sQ32_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f326])).
% 0.09/0.55 fof(f332,plain,(
% 0.09/0.55 $false|~sQ17_spl|~sQ26_spl|~sQ40_spl),
% 0.09/0.55 inference(resolution,[status(thm)],[f253,f250])).
% 0.09/0.55 fof(f334,plain,(
% 0.09/0.55 ~sQ17_spl|~sQ26_spl|~sQ40_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f332])).
% 0.09/0.55 fof(f343,plain,(
% 0.09/0.55 ![X0]: (p(h2(f1(j1(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),X0,j2(X0))|~sQ2_spl|~sQ14_spl)),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f202,f213])).
% 0.09/0.55 fof(f344,plain,(
% 0.09/0.55 $false|~sQ2_spl|~sQ14_spl|~sQ38_spl),
% 0.09/0.55 inference(resolution,[status(thm)],[f343,f207])).
% 0.09/0.55 fof(f346,plain,(
% 0.09/0.55 ~sQ2_spl|~sQ14_spl|~sQ38_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f344])).
% 0.09/0.55 fof(f348,plain,(
% 0.09/0.55 ~sQ4_spl|~sQ8_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f276])).
% 0.09/0.55 fof(f349,plain,(
% 0.09/0.55 $false|~sQ4_spl|~sQ7_spl),
% 0.09/0.55 inference(backward_subsumption_resolution,[status(thm)],[f45,f34])).
% 0.09/0.55 fof(f350,plain,(
% 0.09/0.55 $false|~sQ4_spl|~sQ5_spl),
% 0.09/0.55 inference(backward_subsumption_resolution,[status(thm)],[f39,f34])).
% 0.09/0.55 fof(f352,plain,(
% 0.09/0.55 ~sQ4_spl|~sQ7_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f349])).
% 0.09/0.55 fof(f353,plain,(
% 0.09/0.55 ~sQ4_spl|~sQ5_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f350])).
% 0.09/0.55 fof(f355,plain,(
% 0.09/0.55 ![X0]: (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))|~sQ4_spl|~sQ6_spl)),
% 0.09/0.55 inference(forward_subsumption_resolution,[status(thm)],[f94,f34])).
% 0.09/0.55 fof(f357,plain,(
% 0.09/0.55 $false|~sQ4_spl|~sQ6_spl|~sQ20_spl),
% 0.09/0.55 inference(resolution,[status(thm)],[f355,f99])).
% 0.09/0.55 fof(f359,plain,(
% 0.09/0.55 ~sQ4_spl|~sQ6_spl|~sQ20_spl),
% 0.09/0.55 inference(contradiction_clause,[status(thm)],[f357])).
% 0.09/0.55 fof(f360,plain,(
% 0.09/0.55 $false),
% 0.09/0.55 inference(sat_refutation,[status(thm)],[f36,f50,f67,f82,f91,f101,f115,f117,f139,f141,f168,f180,f182,f188,f192,f209,f212,f217,f218,f219,f229,f230,f231,f235,f252,f255,f260,f273,f274,f278,f289,f295,f310,f313,f315,f319,f328,f334,f346,f348,f352,f353,f359])).
% 0.09/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.57 % Elapsed time: 0.051097 seconds
% 0.09/0.57 % CPU time: 0.187525 seconds
% 0.09/0.57 % Total memory used: 20.307 MB
% 0.09/0.57 % Net memory used: 19.515 MB
%------------------------------------------------------------------------------