TSTP Solution File: SYN037-2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN037-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 : 300s
% DateTime : Tue Apr 30 20:51:04 EDT 2024
% Result : Unsatisfiable 0.09s 0.31s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SYN037-2 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n022.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 21:52:58 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 0.09/0.31 % Refutation found
% 0.09/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.31 fof(f1,negated_conjecture,(
% 0.09/0.31 (![X1]: (( ~ m1| ~ m3| ~ p(X1)| ~ p(fy(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f2,negated_conjecture,(
% 0.09/0.31 (![X1]: (( ~ m1| ~ m3| p(X1)| p(fy(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f3,negated_conjecture,(
% 0.09/0.31 (![Y4]: (( ~ m1| ~ p(cx)| m3| p(Y4) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f4,negated_conjecture,(
% 0.09/0.31 (![Y5]: (( ~ m1| ~ p(Y5)| m3| p(cx) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f5,negated_conjecture,(
% 0.09/0.31 (![Z1]: (( ~ m2| ~ m3| ~ q(cw)| q(Z1) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f6,negated_conjecture,(
% 0.09/0.31 (![Z]: (( ~ m2| ~ m3| ~ q(Z)| q(cw) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f7,negated_conjecture,(
% 0.09/0.31 (![W2]: (( ~ m2| ~ q(W2)| ~ q(fz5(W2))| m3 ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f8,negated_conjecture,(
% 0.09/0.31 (![W2]: (( ~ m2| m3| q(W2)| q(fz5(W2)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f9,negated_conjecture,(
% 0.09/0.31 (![Y1]: (( ~ m3| ~ p(cx)| m1| p(Y1) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f10,negated_conjecture,(
% 0.09/0.31 (![Y2]: (( ~ m3| ~ p(Y2)| m1| p(cx) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f11,negated_conjecture,(
% 0.09/0.31 (![W1]: (( ~ m3| ~ q(W1)| ~ q(fz2(W1))| m2 ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f12,negated_conjecture,(
% 0.09/0.31 (![W1]: (( ~ m3| m2| q(W1)| q(fz2(W1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f13,negated_conjecture,(
% 0.09/0.31 (![X2]: (( ~ p(X2)| ~ p(fy3(X2))| m1| m3 ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f14,negated_conjecture,(
% 0.09/0.31 (![Z4]: (( ~ q(cw)| m2| m3| q(Z4) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f15,negated_conjecture,(
% 0.09/0.31 (![Z3]: (( ~ q(Z3)| m2| m3| q(cw) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f16,negated_conjecture,(
% 0.09/0.31 (![X2]: (( m1| m3| p(X2)| p(fy3(X2)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f17,negated_conjecture,(
% 0.09/0.31 (![U1,Uu1]: (( ~ m1| ~ q(U1)| q(Uu1) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f18,negated_conjecture,(
% 0.09/0.31 (![V1,Vv1]: (( ~ m2| ~ p(V1)| p(Vv1) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f19,negated_conjecture,(
% 0.09/0.31 ( ~ p(cvv)| m2 ) ),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f20,negated_conjecture,(
% 0.09/0.31 ( ~ q(cuu)| m1 ) ),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f21,negated_conjecture,(
% 0.09/0.31 ( m2| p(cv) ) ),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f22,negated_conjecture,(
% 0.09/0.31 ( m1| q(cu) ) ),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f23,plain,(
% 0.09/0.31 ![X0]: (~m1|~m3|~p(X0)|~p(fy(X0)))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f1])).
% 0.09/0.31 fof(f24,plain,(
% 0.09/0.31 ![X0]: (~m1|~m3|p(X0)|p(fy(X0)))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f2])).
% 0.09/0.31 fof(f25,plain,(
% 0.09/0.31 ((~m1|~p(cx))|m3)|(![Y4]: p(Y4))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f3])).
% 0.09/0.31 fof(f26,plain,(
% 0.09/0.31 ![X0]: (~m1|~p(cx)|m3|p(X0))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f25])).
% 0.09/0.31 fof(f27,plain,(
% 0.09/0.31 ((~m1|(![Y5]: ~p(Y5)))|m3)|p(cx)),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f4])).
% 0.09/0.31 fof(f28,plain,(
% 0.09/0.31 ![X0]: (~m1|~p(X0)|m3|p(cx))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f27])).
% 0.09/0.31 fof(f29,plain,(
% 0.09/0.31 ((~m2|~m3)|~q(cw))|(![Z1]: q(Z1))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f5])).
% 0.09/0.31 fof(f30,plain,(
% 0.09/0.31 ![X0]: (~m2|~m3|~q(cw)|q(X0))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f29])).
% 0.09/0.31 fof(f31,plain,(
% 0.09/0.31 ((~m2|~m3)|(![Z]: ~q(Z)))|q(cw)),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f6])).
% 0.09/0.31 fof(f32,plain,(
% 0.09/0.31 ![X0]: (~m2|~m3|~q(X0)|q(cw))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f31])).
% 0.09/0.31 fof(f33,plain,(
% 0.09/0.31 (![W2]: ((~m2|~q(W2))|~q(fz5(W2))))|m3),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f7])).
% 0.09/0.31 fof(f34,plain,(
% 0.09/0.31 ![X0]: (~m2|~q(X0)|~q(fz5(X0))|m3)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f33])).
% 0.09/0.31 fof(f35,plain,(
% 0.09/0.31 ![X0]: (~m2|m3|q(X0)|q(fz5(X0)))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.09/0.31 fof(f36,plain,(
% 0.09/0.31 ((~m3|~p(cx))|m1)|(![Y1]: p(Y1))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f9])).
% 0.09/0.31 fof(f37,plain,(
% 0.09/0.31 ![X0]: (~m3|~p(cx)|m1|p(X0))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f36])).
% 0.09/0.31 fof(f38,plain,(
% 0.09/0.31 ((~m3|(![Y2]: ~p(Y2)))|m1)|p(cx)),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f10])).
% 0.09/0.31 fof(f39,plain,(
% 0.09/0.31 ![X0]: (~m3|~p(X0)|m1|p(cx))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f38])).
% 0.09/0.31 fof(f40,plain,(
% 0.09/0.31 (![W1]: ((~m3|~q(W1))|~q(fz2(W1))))|m2),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f11])).
% 0.09/0.31 fof(f41,plain,(
% 0.09/0.31 ![X0]: (~m3|~q(X0)|~q(fz2(X0))|m2)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f40])).
% 0.09/0.31 fof(f42,plain,(
% 0.09/0.31 ![X0]: (~m3|m2|q(X0)|q(fz2(X0)))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f12])).
% 0.09/0.31 fof(f43,plain,(
% 0.09/0.31 ((![X2]: (~p(X2)|~p(fy3(X2))))|m1)|m3),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f13])).
% 0.09/0.31 fof(f44,plain,(
% 0.09/0.31 ![X0]: (~p(X0)|~p(fy3(X0))|m1|m3)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f43])).
% 0.09/0.31 fof(f45,plain,(
% 0.09/0.31 ((~q(cw)|m2)|m3)|(![Z4]: q(Z4))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f14])).
% 0.09/0.31 fof(f46,plain,(
% 0.09/0.31 ![X0]: (~q(cw)|m2|m3|q(X0))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f45])).
% 0.09/0.31 fof(f47,plain,(
% 0.09/0.31 (((![Z3]: ~q(Z3))|m2)|m3)|q(cw)),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f15])).
% 0.09/0.31 fof(f48,plain,(
% 0.09/0.31 ![X0]: (~q(X0)|m2|m3|q(cw))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f47])).
% 0.09/0.31 fof(f49,plain,(
% 0.09/0.31 ![X0]: (m1|m3|p(X0)|p(fy3(X0)))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f16])).
% 0.09/0.31 fof(f50,plain,(
% 0.09/0.31 (~m1|(![U1]: ~q(U1)))|(![Uu1]: q(Uu1))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f17])).
% 0.09/0.31 fof(f51,plain,(
% 0.09/0.31 ![X0,X1]: (~m1|~q(X0)|q(X1))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f50])).
% 0.09/0.31 fof(f52,plain,(
% 0.09/0.31 (~m2|(![V1]: ~p(V1)))|(![Vv1]: p(Vv1))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f18])).
% 0.09/0.31 fof(f53,plain,(
% 0.09/0.31 ![X0,X1]: (~m2|~p(X0)|p(X1))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f52])).
% 0.09/0.31 fof(f54,plain,(
% 0.09/0.31 ~p(cvv)|m2),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f19])).
% 0.09/0.31 fof(f55,plain,(
% 0.09/0.31 ~q(cuu)|m1),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f20])).
% 0.09/0.31 fof(f56,plain,(
% 0.09/0.31 m2|p(cv)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f21])).
% 0.09/0.31 fof(f57,plain,(
% 0.09/0.31 m1|q(cu)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f22])).
% 0.09/0.31 fof(f58,plain,(
% 0.09/0.31 spl0_0 <=> m1),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f61,plain,(
% 0.09/0.31 spl0_1 <=> m3),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f64,plain,(
% 0.09/0.31 spl0_2 <=> ~p(X0)|~p(fy(X0))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f65,plain,(
% 0.09/0.31 ![X0]: (~p(X0)|~p(fy(X0))|~spl0_2)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f64])).
% 0.09/0.31 fof(f67,plain,(
% 0.09/0.31 ~spl0_0|~spl0_1|spl0_2),
% 0.09/0.31 inference(split_clause,[status(thm)],[f23,f58,f61,f64])).
% 0.09/0.31 fof(f68,plain,(
% 0.09/0.31 spl0_3 <=> p(X0)|p(fy(X0))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f69,plain,(
% 0.09/0.31 ![X0]: (p(X0)|p(fy(X0))|~spl0_3)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f68])).
% 0.09/0.31 fof(f71,plain,(
% 0.09/0.31 ~spl0_0|~spl0_1|spl0_3),
% 0.09/0.31 inference(split_clause,[status(thm)],[f24,f58,f61,f68])).
% 0.09/0.31 fof(f72,plain,(
% 0.09/0.31 spl0_4 <=> p(cx)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f75,plain,(
% 0.09/0.31 spl0_5 <=> p(X0)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f76,plain,(
% 0.09/0.31 ![X0]: (p(X0)|~spl0_5)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f75])).
% 0.09/0.31 fof(f78,plain,(
% 0.09/0.31 ~spl0_0|~spl0_4|spl0_1|spl0_5),
% 0.09/0.31 inference(split_clause,[status(thm)],[f26,f58,f72,f61,f75])).
% 0.09/0.31 fof(f79,plain,(
% 0.09/0.31 spl0_6 <=> ~p(X0)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f80,plain,(
% 0.09/0.31 ![X0]: (~p(X0)|~spl0_6)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f79])).
% 0.09/0.31 fof(f82,plain,(
% 0.09/0.31 ~spl0_0|spl0_6|spl0_1|spl0_4),
% 0.09/0.31 inference(split_clause,[status(thm)],[f28,f58,f79,f61,f72])).
% 0.09/0.31 fof(f83,plain,(
% 0.09/0.31 spl0_7 <=> m2),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f86,plain,(
% 0.09/0.31 spl0_8 <=> q(cw)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f89,plain,(
% 0.09/0.31 spl0_9 <=> q(X0)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f90,plain,(
% 0.09/0.31 ![X0]: (q(X0)|~spl0_9)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f89])).
% 0.09/0.31 fof(f92,plain,(
% 0.09/0.31 ~spl0_7|~spl0_1|~spl0_8|spl0_9),
% 0.09/0.31 inference(split_clause,[status(thm)],[f30,f83,f61,f86,f89])).
% 0.09/0.31 fof(f93,plain,(
% 0.09/0.31 spl0_10 <=> ~q(X0)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f94,plain,(
% 0.09/0.31 ![X0]: (~q(X0)|~spl0_10)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f93])).
% 0.09/0.31 fof(f96,plain,(
% 0.09/0.31 ~spl0_7|~spl0_1|spl0_10|spl0_8),
% 0.09/0.31 inference(split_clause,[status(thm)],[f32,f83,f61,f93,f86])).
% 0.09/0.31 fof(f97,plain,(
% 0.09/0.31 spl0_11 <=> ~q(X0)|~q(fz5(X0))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f98,plain,(
% 0.09/0.31 ![X0]: (~q(X0)|~q(fz5(X0))|~spl0_11)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f97])).
% 0.09/0.31 fof(f100,plain,(
% 0.09/0.31 ~spl0_7|spl0_11|spl0_1),
% 0.09/0.31 inference(split_clause,[status(thm)],[f34,f83,f97,f61])).
% 0.09/0.31 fof(f101,plain,(
% 0.09/0.31 spl0_12 <=> q(X0)|q(fz5(X0))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f102,plain,(
% 0.09/0.31 ![X0]: (q(X0)|q(fz5(X0))|~spl0_12)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f101])).
% 0.09/0.31 fof(f104,plain,(
% 0.09/0.31 ~spl0_7|spl0_1|spl0_12),
% 0.09/0.31 inference(split_clause,[status(thm)],[f35,f83,f61,f101])).
% 0.09/0.31 fof(f105,plain,(
% 0.09/0.31 ~spl0_1|~spl0_4|spl0_0|spl0_5),
% 0.09/0.31 inference(split_clause,[status(thm)],[f37,f61,f72,f58,f75])).
% 0.09/0.31 fof(f106,plain,(
% 0.09/0.31 ~spl0_1|spl0_6|spl0_0|spl0_4),
% 0.09/0.31 inference(split_clause,[status(thm)],[f39,f61,f79,f58,f72])).
% 0.09/0.31 fof(f107,plain,(
% 0.09/0.31 spl0_13 <=> ~q(X0)|~q(fz2(X0))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f108,plain,(
% 0.09/0.31 ![X0]: (~q(X0)|~q(fz2(X0))|~spl0_13)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f107])).
% 0.09/0.31 fof(f110,plain,(
% 0.09/0.31 ~spl0_1|spl0_13|spl0_7),
% 0.09/0.31 inference(split_clause,[status(thm)],[f41,f61,f107,f83])).
% 0.09/0.31 fof(f111,plain,(
% 0.09/0.31 spl0_14 <=> q(X0)|q(fz2(X0))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f112,plain,(
% 0.09/0.31 ![X0]: (q(X0)|q(fz2(X0))|~spl0_14)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f111])).
% 0.09/0.31 fof(f114,plain,(
% 0.09/0.31 ~spl0_1|spl0_7|spl0_14),
% 0.09/0.31 inference(split_clause,[status(thm)],[f42,f61,f83,f111])).
% 0.09/0.31 fof(f115,plain,(
% 0.09/0.31 spl0_15 <=> ~p(X0)|~p(fy3(X0))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f116,plain,(
% 0.09/0.31 ![X0]: (~p(X0)|~p(fy3(X0))|~spl0_15)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f115])).
% 0.09/0.31 fof(f118,plain,(
% 0.09/0.31 spl0_15|spl0_0|spl0_1),
% 0.09/0.31 inference(split_clause,[status(thm)],[f44,f115,f58,f61])).
% 0.09/0.31 fof(f119,plain,(
% 0.09/0.31 ~spl0_8|spl0_7|spl0_1|spl0_9),
% 0.09/0.31 inference(split_clause,[status(thm)],[f46,f86,f83,f61,f89])).
% 0.09/0.31 fof(f120,plain,(
% 0.09/0.31 spl0_10|spl0_7|spl0_1|spl0_8),
% 0.09/0.31 inference(split_clause,[status(thm)],[f48,f93,f83,f61,f86])).
% 0.09/0.31 fof(f121,plain,(
% 0.09/0.31 spl0_16 <=> p(X0)|p(fy3(X0))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f122,plain,(
% 0.09/0.31 ![X0]: (p(X0)|p(fy3(X0))|~spl0_16)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f121])).
% 0.09/0.31 fof(f124,plain,(
% 0.09/0.31 spl0_0|spl0_1|spl0_16),
% 0.09/0.31 inference(split_clause,[status(thm)],[f49,f58,f61,f121])).
% 0.09/0.31 fof(f125,plain,(
% 0.09/0.31 ~spl0_0|spl0_10|spl0_9),
% 0.09/0.31 inference(split_clause,[status(thm)],[f51,f58,f93,f89])).
% 0.09/0.31 fof(f126,plain,(
% 0.09/0.31 ~spl0_7|spl0_6|spl0_5),
% 0.09/0.31 inference(split_clause,[status(thm)],[f53,f83,f79,f75])).
% 0.09/0.31 fof(f127,plain,(
% 0.09/0.31 spl0_17 <=> p(cvv)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f129,plain,(
% 0.09/0.31 ~p(cvv)|spl0_17),
% 0.09/0.31 inference(component_clause,[status(thm)],[f127])).
% 0.09/0.31 fof(f130,plain,(
% 0.09/0.31 ~spl0_17|spl0_7),
% 0.09/0.31 inference(split_clause,[status(thm)],[f54,f127,f83])).
% 0.09/0.31 fof(f131,plain,(
% 0.09/0.31 spl0_18 <=> q(cuu)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f133,plain,(
% 0.09/0.31 ~q(cuu)|spl0_18),
% 0.09/0.31 inference(component_clause,[status(thm)],[f131])).
% 0.09/0.31 fof(f134,plain,(
% 0.09/0.31 ~spl0_18|spl0_0),
% 0.09/0.31 inference(split_clause,[status(thm)],[f55,f131,f58])).
% 0.09/0.31 fof(f135,plain,(
% 0.09/0.31 spl0_19 <=> p(cv)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f136,plain,(
% 0.09/0.31 p(cv)|~spl0_19),
% 0.09/0.31 inference(component_clause,[status(thm)],[f135])).
% 0.09/0.31 fof(f138,plain,(
% 0.09/0.31 spl0_7|spl0_19),
% 0.09/0.31 inference(split_clause,[status(thm)],[f56,f83,f135])).
% 0.09/0.31 fof(f139,plain,(
% 0.09/0.31 spl0_20 <=> q(cu)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f140,plain,(
% 0.09/0.31 q(cu)|~spl0_20),
% 0.09/0.31 inference(component_clause,[status(thm)],[f139])).
% 0.09/0.31 fof(f142,plain,(
% 0.09/0.31 spl0_0|spl0_20),
% 0.09/0.31 inference(split_clause,[status(thm)],[f57,f58,f139])).
% 0.09/0.31 fof(f143,plain,(
% 0.09/0.31 $false|~spl0_6|~spl0_5),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f76,f80])).
% 0.09/0.31 fof(f144,plain,(
% 0.09/0.31 ~spl0_6|~spl0_5),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f143])).
% 0.09/0.31 fof(f147,plain,(
% 0.09/0.31 $false|~spl0_5|spl0_17),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f129,f76])).
% 0.09/0.31 fof(f148,plain,(
% 0.09/0.31 ~spl0_5|spl0_17),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f147])).
% 0.09/0.31 fof(f149,plain,(
% 0.09/0.31 $false|~spl0_9|spl0_18),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f133,f90])).
% 0.09/0.31 fof(f150,plain,(
% 0.09/0.31 ~spl0_9|spl0_18),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f149])).
% 0.09/0.31 fof(f151,plain,(
% 0.09/0.31 ![X0]: (q(fz2(X0))|~spl0_10|~spl0_14)),
% 0.09/0.31 inference(backward_subsumption_resolution,[status(thm)],[f112,f94])).
% 0.09/0.31 fof(f152,plain,(
% 0.09/0.31 $false|~spl0_10|~spl0_14),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f151,f94])).
% 0.09/0.31 fof(f153,plain,(
% 0.09/0.31 ~spl0_10|~spl0_14),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f152])).
% 0.09/0.31 fof(f154,plain,(
% 0.09/0.31 ![X0]: (~p(fy3(X0))|~spl0_5|~spl0_15)),
% 0.09/0.31 inference(backward_subsumption_resolution,[status(thm)],[f116,f76])).
% 0.09/0.31 fof(f155,plain,(
% 0.09/0.31 $false|~spl0_5|~spl0_15),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f154,f76])).
% 0.09/0.31 fof(f156,plain,(
% 0.09/0.31 ~spl0_5|~spl0_15),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f155])).
% 0.09/0.31 fof(f157,plain,(
% 0.09/0.31 ![X0]: (p(fy3(X0))|~spl0_6|~spl0_16)),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f122,f80])).
% 0.09/0.31 fof(f158,plain,(
% 0.09/0.31 $false|~spl0_16|~spl0_6),
% 0.09/0.31 inference(resolution,[status(thm)],[f157,f80])).
% 0.09/0.31 fof(f159,plain,(
% 0.09/0.31 ~spl0_16|~spl0_6),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f158])).
% 0.09/0.31 fof(f160,plain,(
% 0.09/0.31 $false|~spl0_10|~spl0_20),
% 0.09/0.31 inference(backward_subsumption_resolution,[status(thm)],[f140,f94])).
% 0.09/0.31 fof(f161,plain,(
% 0.09/0.31 ~spl0_10|~spl0_20),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f160])).
% 0.09/0.31 fof(f162,plain,(
% 0.09/0.31 $false|~spl0_6|~spl0_19),
% 0.09/0.31 inference(backward_subsumption_resolution,[status(thm)],[f136,f80])).
% 0.09/0.31 fof(f163,plain,(
% 0.09/0.31 ~spl0_6|~spl0_19),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f162])).
% 0.09/0.31 fof(f164,plain,(
% 0.09/0.31 ![X0]: (~q(fz2(X0))|~spl0_9|~spl0_13)),
% 0.09/0.31 inference(backward_subsumption_resolution,[status(thm)],[f108,f90])).
% 0.09/0.31 fof(f165,plain,(
% 0.09/0.31 $false|~spl0_9|~spl0_13),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f164,f90])).
% 0.09/0.31 fof(f166,plain,(
% 0.09/0.31 ~spl0_9|~spl0_13),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f165])).
% 0.09/0.31 fof(f167,plain,(
% 0.09/0.31 ![X0]: (q(fz5(X0))|~spl0_10|~spl0_12)),
% 0.09/0.31 inference(backward_subsumption_resolution,[status(thm)],[f102,f94])).
% 0.09/0.31 fof(f168,plain,(
% 0.09/0.31 $false|~spl0_10|~spl0_12),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f167,f94])).
% 0.09/0.31 fof(f169,plain,(
% 0.09/0.31 ~spl0_10|~spl0_12),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f168])).
% 0.09/0.31 fof(f170,plain,(
% 0.09/0.31 ![X0]: (~q(fz5(X0))|~spl0_9|~spl0_11)),
% 0.09/0.31 inference(backward_subsumption_resolution,[status(thm)],[f98,f90])).
% 0.09/0.31 fof(f171,plain,(
% 0.09/0.31 $false|~spl0_9|~spl0_11),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f170,f90])).
% 0.09/0.31 fof(f172,plain,(
% 0.09/0.31 ~spl0_9|~spl0_11),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f171])).
% 0.09/0.31 fof(f173,plain,(
% 0.09/0.31 ![X0]: (p(fy(X0))|~spl0_6|~spl0_3)),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f69,f80])).
% 0.09/0.31 fof(f174,plain,(
% 0.09/0.31 $false|~spl0_3|~spl0_6),
% 0.09/0.31 inference(resolution,[status(thm)],[f173,f80])).
% 0.09/0.31 fof(f175,plain,(
% 0.09/0.31 ~spl0_3|~spl0_6),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f174])).
% 0.09/0.31 fof(f176,plain,(
% 0.09/0.31 ![X0]: (~p(fy(X0))|~spl0_5|~spl0_2)),
% 0.09/0.31 inference(backward_subsumption_resolution,[status(thm)],[f65,f76])).
% 0.09/0.31 fof(f177,plain,(
% 0.09/0.31 $false|~spl0_5|~spl0_2),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f176,f76])).
% 0.09/0.31 fof(f178,plain,(
% 0.09/0.31 ~spl0_5|~spl0_2),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f177])).
% 0.09/0.31 fof(f179,plain,(
% 0.09/0.31 $false),
% 0.09/0.31 inference(sat_refutation,[status(thm)],[f67,f71,f78,f82,f92,f96,f100,f104,f105,f106,f110,f114,f118,f119,f120,f124,f125,f126,f130,f134,f138,f142,f144,f148,f150,f153,f156,f159,f161,f163,f166,f169,f172,f175,f178])).
% 0.09/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.33 % Elapsed time: 0.014956 seconds
% 0.14/0.33 % CPU time: 0.032242 seconds
% 0.14/0.33 % Total memory used: 2.377 MB
% 0.14/0.33 % Net memory used: 2.356 MB
%------------------------------------------------------------------------------