%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN036-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 03:18:45 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 10:44:08 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f1,negated_conjecture,(
% 0.11/0.40 ( ~ n2| ~ n9| ~ n6| ~ n10 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f4,negated_conjecture,(
% 0.11/0.40 ( n2| n9| n6| n10 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f6,negated_conjecture,(
% 0.11/0.40 ( ~ n2| n9| n6| ~ n10 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f7,negated_conjecture,(
% 0.11/0.40 ( n2| ~ n9| ~ n6| n10 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f9,negated_conjecture,(
% 0.11/0.40 ( ~ p(s8)| n8 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f10,negated_conjecture,(
% 0.11/0.40 (![X8]: (( ~ n8| p(X8) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f11,negated_conjecture,(
% 0.11/0.40 (![X7]: (( ~ p(X7)| n7 ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f12,negated_conjecture,(
% 0.11/0.40 ( ~ n7| p(s7) ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f13,negated_conjecture,(
% 0.11/0.40 (![X6]: (( ~ n5(X6)| n6 ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f14,negated_conjecture,(
% 0.11/0.40 ( ~ n6| n5(s6) ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f15,negated_conjecture,(
% 0.11/0.40 (![X]: (( ~ q(X)| ~ q(s5(X))| n5(X) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f16,negated_conjecture,(
% 0.11/0.40 (![X]: (( q(X)| q(s5(X))| n5(X) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f17,negated_conjecture,(
% 0.11/0.40 (![X,X5]: (( ~ n5(X)| ~ q(X)| q(X5) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f18,negated_conjecture,(
% 0.11/0.40 (![X,X5]: (( ~ n5(X)| q(X)| ~ q(X5) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f19,negated_conjecture,(
% 0.11/0.40 ( ~ q(s4)| n4 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f20,negated_conjecture,(
% 0.11/0.40 (![X4]: (( ~ n4| q(X4) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f21,negated_conjecture,(
% 0.11/0.40 (![X3]: (( ~ q(X3)| n3 ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f22,negated_conjecture,(
% 0.11/0.40 ( ~ n3| q(s3) ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f23,negated_conjecture,(
% 0.11/0.40 (![X2]: (( ~ n1(X2)| n2 ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f24,negated_conjecture,(
% 0.11/0.40 ( ~ n2| n1(s2) ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f25,negated_conjecture,(
% 0.11/0.40 (![X]: (( ~ p(X)| ~ p(s1(X))| n1(X) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f26,negated_conjecture,(
% 0.11/0.40 (![X]: (( p(X)| p(s1(X))| n1(X) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f27,negated_conjecture,(
% 0.11/0.40 (![X,X1]: (( ~ n1(X)| ~ p(X)| p(X1) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f28,negated_conjecture,(
% 0.11/0.40 (![X,X1]: (( ~ n1(X)| p(X)| ~ p(X1) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f29,negated_conjecture,(
% 0.11/0.40 ( ~ n3| ~ n4| n9 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f30,negated_conjecture,(
% 0.11/0.40 ( n3| n4| n9 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f31,negated_conjecture,(
% 0.11/0.40 ( ~ n3| n4| ~ n9 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f33,negated_conjecture,(
% 0.11/0.40 ( ~ n7| ~ n8| n10 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f34,negated_conjecture,(
% 0.11/0.40 ( n7| n8| n10 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f35,negated_conjecture,(
% 0.11/0.40 ( ~ n7| n8| ~ n10 ) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f37,plain,(
% 0.11/0.40 ~n2|~n9|~n6|~n10),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.40 fof(f40,plain,(
% 0.11/0.40 n2|n9|n6|n10),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.40 fof(f42,plain,(
% 0.11/0.40 ~n2|n9|n6|~n10),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.40 fof(f43,plain,(
% 0.11/0.40 n2|~n9|~n6|n10),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.40 fof(f45,plain,(
% 0.11/0.40 ~p(s8)|n8),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.40 fof(f46,plain,(
% 0.11/0.40 ~n8|(![X8]: p(X8))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f10])).
% 0.11/0.40 fof(f47,plain,(
% 0.11/0.40 ![X0]: (~n8|p(X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f46])).
% 0.11/0.40 fof(f48,plain,(
% 0.11/0.40 (![X7]: ~p(X7))|n7),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f11])).
% 0.11/0.40 fof(f49,plain,(
% 0.11/0.40 ![X0]: (~p(X0)|n7)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.11/0.40 fof(f50,plain,(
% 0.11/0.40 ~n7|p(s7)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.40 fof(f51,plain,(
% 0.11/0.40 (![X6]: ~n5(X6))|n6),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f13])).
% 0.11/0.40 fof(f52,plain,(
% 0.11/0.40 ![X0]: (~n5(X0)|n6)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f51])).
% 0.11/0.40 fof(f53,plain,(
% 0.11/0.40 ~n6|n5(s6)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.40 fof(f54,plain,(
% 0.11/0.40 ![X0]: (~q(X0)|~q(s5(X0))|n5(X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.40 fof(f55,plain,(
% 0.11/0.40 ![X0]: (q(X0)|q(s5(X0))|n5(X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.40 fof(f56,plain,(
% 0.11/0.40 (![X]: (~n5(X)|~q(X)))|(![X5]: q(X5))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f17])).
% 0.11/0.40 fof(f57,plain,(
% 0.11/0.40 ![X0,X1]: (~n5(X0)|~q(X0)|q(X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f56])).
% 0.11/0.40 fof(f58,plain,(
% 0.11/0.40 (![X]: (~n5(X)|q(X)))|(![X5]: ~q(X5))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f18])).
% 0.11/0.40 fof(f59,plain,(
% 0.11/0.40 ![X0,X1]: (~n5(X0)|q(X0)|~q(X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.11/0.40 fof(f60,plain,(
% 0.11/0.40 ~q(s4)|n4),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.40 fof(f61,plain,(
% 0.11/0.40 ~n4|(![X4]: q(X4))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f20])).
% 0.11/0.40 fof(f62,plain,(
% 0.11/0.40 ![X0]: (~n4|q(X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f61])).
% 0.11/0.40 fof(f63,plain,(
% 0.11/0.40 (![X3]: ~q(X3))|n3),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f21])).
% 0.11/0.40 fof(f64,plain,(
% 0.11/0.40 ![X0]: (~q(X0)|n3)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f63])).
% 0.11/0.40 fof(f65,plain,(
% 0.11/0.40 ~n3|q(s3)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.40 fof(f66,plain,(
% 0.11/0.40 (![X2]: ~n1(X2))|n2),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f23])).
% 0.11/0.40 fof(f67,plain,(
% 0.11/0.40 ![X0]: (~n1(X0)|n2)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f66])).
% 0.11/0.40 fof(f68,plain,(
% 0.11/0.40 ~n2|n1(s2)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/0.40 fof(f69,plain,(
% 0.11/0.40 ![X0]: (~p(X0)|~p(s1(X0))|n1(X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.40 fof(f70,plain,(
% 0.11/0.40 ![X0]: (p(X0)|p(s1(X0))|n1(X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.11/0.40 fof(f71,plain,(
% 0.11/0.40 (![X]: (~n1(X)|~p(X)))|(![X1]: p(X1))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f27])).
% 0.11/0.40 fof(f72,plain,(
% 0.11/0.40 ![X0,X1]: (~n1(X0)|~p(X0)|p(X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f71])).
% 0.11/0.40 fof(f73,plain,(
% 0.11/0.40 (![X]: (~n1(X)|p(X)))|(![X1]: ~p(X1))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f28])).
% 0.11/0.40 fof(f74,plain,(
% 0.11/0.40 ![X0,X1]: (~n1(X0)|p(X0)|~p(X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f73])).
% 0.11/0.40 fof(f75,plain,(
% 0.11/0.40 ~n3|~n4|n9),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.11/0.40 fof(f76,plain,(
% 0.11/0.40 n3|n4|n9),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.11/0.40 fof(f77,plain,(
% 0.11/0.40 ~n3|n4|~n9),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.11/0.40 fof(f79,plain,(
% 0.11/0.40 ~n7|~n8|n10),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.11/0.40 fof(f80,plain,(
% 0.11/0.40 n7|n8|n10),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.11/0.40 fof(f81,plain,(
% 0.11/0.40 ~n7|n8|~n10),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.11/0.40 fof(f83,definition,(
% 0.11/0.40 sQ0_spl <=> (n2)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f86,definition,(
% 0.11/0.40 sQ1_spl <=> (n9)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f89,definition,(
% 0.11/0.40 sQ2_spl <=> (n6)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f92,definition,(
% 0.11/0.40 sQ3_spl <=> (n10)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f95,plain,(
% 0.11/0.40 ~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f37,f83,f86,f89,f92])).
% 0.11/0.40 fof(f98,plain,(
% 0.11/0.40 sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f40,f83,f86,f89,f92])).
% 0.11/0.40 fof(f100,plain,(
% 0.11/0.40 ~sQ0_spl|sQ1_spl|sQ2_spl|~sQ3_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f42,f83,f86,f89,f92])).
% 0.11/0.40 fof(f101,plain,(
% 0.11/0.40 sQ0_spl|~sQ1_spl|~sQ2_spl|sQ3_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f43,f83,f86,f89,f92])).
% 0.11/0.40 fof(f103,definition,(
% 0.11/0.40 sQ4_spl <=> (p(s8))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f105,plain,(
% 0.11/0.40 ~p(s8)|sQ4_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f103])).
% 0.11/0.40 fof(f106,definition,(
% 0.11/0.40 sQ5_spl <=> (n8)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f109,plain,(
% 0.11/0.40 ~sQ4_spl|sQ5_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f45,f103,f106])).
% 0.11/0.40 fof(f110,definition,(
% 0.11/0.40 ![X0]: (sQ6_spl <=> (p(X0)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f111,plain,(
% 0.11/0.40 ![X0]: (p(X0)|~sQ6_spl)),
% 0.11/0.40 inference(component_clause,[status(thm)],[f110])).
% 0.11/0.40 fof(f113,plain,(
% 0.11/0.40 ~sQ5_spl|sQ6_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f47,f106,f110])).
% 0.11/0.40 fof(f114,definition,(
% 0.11/0.40 ![X0]: (sQ7_spl <=> (~p(X0)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f115,plain,(
% 0.11/0.40 ![X0]: (~p(X0)|~sQ7_spl)),
% 0.11/0.40 inference(component_clause,[status(thm)],[f114])).
% 0.11/0.40 fof(f117,definition,(
% 0.11/0.40 sQ8_spl <=> (n7)),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f120,plain,(
% 0.11/0.40 sQ7_spl|sQ8_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f49,f114,f117])).
% 0.11/0.40 fof(f121,definition,(
% 0.11/0.40 sQ9_spl <=> (p(s7))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f122,plain,(
% 0.11/0.40 p(s7)|~sQ9_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f121])).
% 0.11/0.40 fof(f124,plain,(
% 0.11/0.40 ~sQ8_spl|sQ9_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f50,f117,f121])).
% 0.11/0.40 fof(f125,definition,(
% 0.11/0.40 ![X0]: (sQ10_spl <=> (~n5(X0)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f126,plain,(
% 0.11/0.41 ![X0]: (~n5(X0)|~sQ10_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f125])).
% 0.11/0.41 fof(f128,plain,(
% 0.11/0.41 sQ10_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f52,f125,f89])).
% 0.11/0.41 fof(f129,definition,(
% 0.11/0.41 sQ11_spl <=> (n5(s6))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f130,plain,(
% 0.11/0.41 n5(s6)|~sQ11_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f129])).
% 0.11/0.41 fof(f132,plain,(
% 0.11/0.41 ~sQ2_spl|sQ11_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f53,f89,f129])).
% 0.11/0.41 fof(f133,definition,(
% 0.11/0.41 ![X0]: (sQ12_spl <=> (~n5(X0)|~q(X0)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f134,plain,(
% 0.11/0.41 ![X0]: (~n5(X0)|~q(X0)|~sQ12_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f133])).
% 0.11/0.41 fof(f136,definition,(
% 0.11/0.41 ![X1]: (sQ13_spl <=> (q(X1)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f137,plain,(
% 0.11/0.41 ![X0]: (q(X0)|~sQ13_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f136])).
% 0.11/0.41 fof(f139,plain,(
% 0.11/0.41 sQ12_spl|sQ13_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f57,f133,f136])).
% 0.11/0.41 fof(f140,definition,(
% 0.11/0.41 ![X0]: (sQ14_spl <=> (~n5(X0)|q(X0)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f141,plain,(
% 0.11/0.41 ![X0]: (~n5(X0)|q(X0)|~sQ14_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f140])).
% 0.11/0.41 fof(f143,definition,(
% 0.11/0.41 ![X1]: (sQ15_spl <=> (~q(X1)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f144,plain,(
% 0.11/0.41 ![X0]: (~q(X0)|~sQ15_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f143])).
% 0.11/0.41 fof(f146,plain,(
% 0.11/0.41 sQ14_spl|sQ15_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f59,f140,f143])).
% 0.11/0.41 fof(f147,definition,(
% 0.11/0.41 sQ16_spl <=> (q(s4))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f149,plain,(
% 0.11/0.41 ~q(s4)|sQ16_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f147])).
% 0.11/0.41 fof(f150,definition,(
% 0.11/0.41 sQ17_spl <=> (n4)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f153,plain,(
% 0.11/0.41 ~sQ16_spl|sQ17_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f60,f147,f150])).
% 0.11/0.41 fof(f154,plain,(
% 0.11/0.41 ~sQ17_spl|sQ13_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f62,f150,f136])).
% 0.11/0.41 fof(f155,definition,(
% 0.11/0.41 sQ18_spl <=> (n3)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f158,plain,(
% 0.11/0.41 sQ15_spl|sQ18_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f64,f143,f155])).
% 0.11/0.41 fof(f159,definition,(
% 0.11/0.41 sQ19_spl <=> (q(s3))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f160,plain,(
% 0.11/0.41 q(s3)|~sQ19_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f159])).
% 0.11/0.41 fof(f162,plain,(
% 0.11/0.41 ~sQ18_spl|sQ19_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f65,f155,f159])).
% 0.11/0.41 fof(f163,definition,(
% 0.11/0.41 ![X0]: (sQ20_spl <=> (~n1(X0)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f164,plain,(
% 0.11/0.41 ![X0]: (~n1(X0)|~sQ20_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f163])).
% 0.11/0.41 fof(f166,plain,(
% 0.11/0.41 sQ20_spl|sQ0_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f67,f163,f83])).
% 0.11/0.41 fof(f167,definition,(
% 0.11/0.41 sQ21_spl <=> (n1(s2))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f168,plain,(
% 0.11/0.41 n1(s2)|~sQ21_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f167])).
% 0.11/0.41 fof(f170,plain,(
% 0.11/0.41 ~sQ0_spl|sQ21_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f68,f83,f167])).
% 0.11/0.41 fof(f171,definition,(
% 0.11/0.41 ![X0]: (sQ22_spl <=> (~n1(X0)|~p(X0)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f172,plain,(
% 0.11/0.41 ![X0]: (~n1(X0)|~p(X0)|~sQ22_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f171])).
% 0.11/0.41 fof(f174,plain,(
% 0.11/0.41 sQ22_spl|sQ6_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f72,f171,f110])).
% 0.11/0.41 fof(f175,definition,(
% 0.11/0.41 ![X0]: (sQ23_spl <=> (~n1(X0)|p(X0)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f176,plain,(
% 0.11/0.41 ![X0]: (~n1(X0)|p(X0)|~sQ23_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f175])).
% 0.11/0.41 fof(f178,plain,(
% 0.11/0.41 sQ23_spl|sQ7_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f74,f175,f114])).
% 0.11/0.41 fof(f179,plain,(
% 0.11/0.41 ~sQ18_spl|~sQ17_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f75,f155,f150,f86])).
% 0.11/0.41 fof(f180,plain,(
% 0.11/0.41 sQ18_spl|sQ17_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f76,f155,f150,f86])).
% 0.11/0.41 fof(f181,plain,(
% 0.11/0.41 ~sQ18_spl|sQ17_spl|~sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f77,f155,f150,f86])).
% 0.11/0.41 fof(f183,plain,(
% 0.11/0.41 ~sQ8_spl|~sQ5_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f79,f117,f106,f92])).
% 0.11/0.41 fof(f184,plain,(
% 0.11/0.41 sQ8_spl|sQ5_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f80,f117,f106,f92])).
% 0.11/0.41 fof(f185,plain,(
% 0.11/0.41 ~sQ8_spl|sQ5_spl|~sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f81,f117,f106,f92])).
% 0.11/0.41 fof(f187,plain,(
% 0.11/0.41 ![X0]: (p(X0)|n1(X0)|~sQ7_spl)),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f70,f115])).
% 0.11/0.41 fof(f188,plain,(
% 0.11/0.41 $false|~sQ7_spl|~sQ6_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f111,f115])).
% 0.11/0.41 fof(f189,plain,(
% 0.11/0.41 ~sQ7_spl|~sQ6_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f188])).
% 0.11/0.41 fof(f190,plain,(
% 0.11/0.41 ![X0]: (q(X0)|n5(X0)|~sQ15_spl)),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f55,f144])).
% 0.11/0.41 fof(f191,plain,(
% 0.11/0.41 $false|~sQ15_spl|~sQ13_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f137,f144])).
% 0.11/0.41 fof(f192,plain,(
% 0.11/0.41 ~sQ15_spl|~sQ13_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f191])).
% 0.11/0.41 fof(f196,plain,(
% 0.11/0.41 $false|~sQ7_spl|~sQ9_spl),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f122,f115])).
% 0.11/0.41 fof(f197,plain,(
% 0.11/0.41 ![X0]: (n1(X0)|~sQ7_spl)),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f187,f115])).
% 0.11/0.41 fof(f198,plain,(
% 0.11/0.41 ~sQ7_spl|~sQ9_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f196])).
% 0.11/0.41 fof(f201,plain,(
% 0.11/0.41 ![X0]: (q(X0)|~sQ10_spl|~sQ15_spl)),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f190,f126])).
% 0.11/0.41 fof(f202,plain,(
% 0.11/0.41 $false|~sQ10_spl|~sQ15_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f144,f201])).
% 0.11/0.41 fof(f203,plain,(
% 0.11/0.41 ~sQ10_spl|~sQ15_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f202])).
% 0.11/0.41 fof(f206,plain,(
% 0.11/0.41 $false|~sQ20_spl|~sQ7_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f197,f164])).
% 0.11/0.41 fof(f207,plain,(
% 0.11/0.41 ~sQ20_spl|~sQ7_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f206])).
% 0.11/0.41 fof(f210,plain,(
% 0.11/0.41 $false|~sQ23_spl|~sQ22_spl|~sQ21_spl),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f168,f211])).
% 0.11/0.41 fof(f211,plain,(
% 0.11/0.41 ![X0]: (~n1(X0)|~sQ23_spl|~sQ22_spl)),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f172,f176])).
% 0.11/0.41 fof(f213,plain,(
% 0.11/0.41 ~sQ23_spl|~sQ22_spl|~sQ21_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f210])).
% 0.11/0.41 fof(f215,plain,(
% 0.11/0.41 $false|~sQ14_spl|~sQ12_spl|~sQ11_spl),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f130,f217])).
% 0.11/0.41 fof(f217,plain,(
% 0.11/0.41 ![X0]: (~n5(X0)|~sQ14_spl|~sQ12_spl)),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f134,f141])).
% 0.11/0.41 fof(f218,plain,(
% 0.11/0.41 ~sQ14_spl|~sQ12_spl|~sQ11_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f215])).
% 0.11/0.41 fof(f221,plain,(
% 0.11/0.41 $false|~sQ15_spl|~sQ19_spl),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f160,f144])).
% 0.11/0.41 fof(f222,plain,(
% 0.11/0.41 ~sQ15_spl|~sQ19_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f221])).
% 0.11/0.41 fof(f223,plain,(
% 0.11/0.41 $false|~sQ13_spl|sQ16_spl),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f149,f137])).
% 0.11/0.41 fof(f224,plain,(
% 0.11/0.41 ![X0]: (~q(s5(X0))|n5(X0)|~sQ13_spl)),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f54,f137])).
% 0.11/0.41 fof(f225,plain,(
% 0.11/0.41 ~sQ13_spl|sQ16_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f223])).
% 0.11/0.41 fof(f226,plain,(
% 0.11/0.41 $false|~sQ6_spl|sQ4_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f105,f111])).
% 0.11/0.41 fof(f227,plain,(
% 0.11/0.41 ~sQ6_spl|sQ4_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f226])).
% 0.11/0.41 fof(f232,plain,(
% 0.11/0.41 $false|~sQ13_spl|~sQ10_spl),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f126,f233])).
% 0.11/0.41 fof(f233,plain,(
% 0.11/0.41 ![X0]: (n5(X0)|~sQ13_spl)),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f224,f137])).
% 0.11/0.41 fof(f235,plain,(
% 0.11/0.41 ~sQ13_spl|~sQ10_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f232])).
% 0.11/0.41 fof(f236,plain,(
% 0.11/0.41 ![X0]: (~p(X0)|~p(s1(X0))|~sQ20_spl)),
% 0.11/0.41 inference(backward_subsumption_resolution,[status(thm)],[f69,f164])).
% 0.11/0.41 fof(f237,plain,(
% 0.11/0.41 ![X0]: (~p(s1(X0))|~sQ6_spl|~sQ20_spl)),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f236,f111])).
% 0.11/0.41 fof(f238,plain,(
% 0.11/0.41 $false|~sQ20_spl|~sQ6_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f237,f111])).
% 0.11/0.41 fof(f239,plain,(
% 0.11/0.41 ~sQ20_spl|~sQ6_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f238])).
% 0.11/0.41 fof(f240,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(sat_refutation,[status(thm)],[f95,f98,f100,f101,f109,f113,f120,f124,f128,f132,f139,f146,f153,f154,f158,f162,f166,f170,f174,f178,f179,f180,f181,f183,f184,f185,f189,f192,f198,f203,f207,f213,f218,f222,f225,f227,f235,f239])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.059091 seconds
% 0.15/0.44 % CPU time: 0.130006 seconds
% 0.15/0.44 % Total memory used: 11.912 MB
% 0.15/0.44 % Net memory used: 11.844 MB
%------------------------------------------------------------------------------