%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN007+1.014 : 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 : n010.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 03:18:42 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN007+1.014 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:39:10 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,conjecture,(
% 0.13/0.40 ( p_1<=> ( p_2<=> ( p_3<=> ( p_4<=> ( p_5<=> ( p_6<=> ( p_7<=> ( p_8<=> ( p_9<=> ( p_10<=> ( p_11<=> ( p_12<=> ( p_13<=> ( p_14<=> ( p_1<=> ( p_2<=> ( p_3<=> ( p_4<=> ( p_5<=> ( p_6<=> ( p_7<=> ( p_8<=> ( p_9<=> ( p_10<=> ( p_11<=> ( p_12<=> ( p_13<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,negated_conjecture,(
% 0.13/0.40 ~(( p_1<=> ( p_2<=> ( p_3<=> ( p_4<=> ( p_5<=> ( p_6<=> ( p_7<=> ( p_8<=> ( p_9<=> ( p_10<=> ( p_11<=> ( p_12<=> ( p_13<=> ( p_14<=> ( p_1<=> ( p_2<=> ( p_3<=> ( p_4<=> ( p_5<=> ( p_6<=> ( p_7<=> ( p_8<=> ( p_9<=> ( p_10<=> ( p_11<=> ( p_12<=> ( p_13<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.40 fof(f3,plain,(
% 0.13/0.40 (p_1<~>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>(p_14<=>(p_1<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14)))))))))))))))))))))))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f4,definition,(
% 0.13/0.40 sP0_prd<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>(p_14<=>(p_1<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14)))))))))))))))))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.13/0.40 fof(f5,plain,(
% 0.13/0.40 p_1<~>(p_2<=>sP0_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.13/0.40 fof(f6,plain,(
% 0.13/0.40 (p_1|((~p_2|sP0_prd)&(p_2|~sP0_prd)))&(~p_1|((~p_2|~sP0_prd)&(p_2|sP0_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f7,plain,(
% 0.13/0.40 p_1|~p_2|sP0_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f8,plain,(
% 0.13/0.40 p_1|p_2|~sP0_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f9,plain,(
% 0.13/0.40 ~p_1|~p_2|~sP0_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f10,plain,(
% 0.13/0.40 ~p_1|p_2|sP0_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f11,definition,(
% 0.13/0.40 sP1_prd<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>(p_14<=>(p_1<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14))))))))))))))))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.13/0.40 fof(f12,plain,(
% 0.13/0.40 sP0_prd<=>(p_3<=>sP1_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f4,f11])).
% 0.13/0.40 fof(f13,plain,(
% 0.13/0.40 (~sP0_prd|((~p_3|sP1_prd)&(p_3|~sP1_prd)))&(sP0_prd|((~p_3|~sP1_prd)&(p_3|sP1_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f12])).
% 0.13/0.40 fof(f14,plain,(
% 0.13/0.40 ~sP0_prd|~p_3|sP1_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f15,plain,(
% 0.13/0.40 ~sP0_prd|p_3|~sP1_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f16,plain,(
% 0.13/0.40 sP0_prd|~p_3|~sP1_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f17,plain,(
% 0.13/0.40 sP0_prd|p_3|sP1_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f18,definition,(
% 0.13/0.40 sP2_prd<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>(p_14<=>(p_1<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14)))))))))))))))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.13/0.40 fof(f19,plain,(
% 0.13/0.40 sP1_prd<=>(p_4<=>sP2_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f11,f18])).
% 0.13/0.40 fof(f20,plain,(
% 0.13/0.40 (~sP1_prd|((~p_4|sP2_prd)&(p_4|~sP2_prd)))&(sP1_prd|((~p_4|~sP2_prd)&(p_4|sP2_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f19])).
% 0.13/0.40 fof(f21,plain,(
% 0.13/0.40 ~sP1_prd|~p_4|sP2_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.40 fof(f22,plain,(
% 0.13/0.40 ~sP1_prd|p_4|~sP2_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.40 fof(f23,plain,(
% 0.13/0.40 sP1_prd|~p_4|~sP2_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.40 fof(f24,plain,(
% 0.13/0.40 sP1_prd|p_4|sP2_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.40 fof(f25,definition,(
% 0.13/0.40 sP3_prd<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>(p_14<=>(p_1<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14))))))))))))))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.13/0.40 fof(f26,plain,(
% 0.13/0.40 sP2_prd<=>(p_5<=>sP3_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f18,f25])).
% 0.13/0.40 fof(f27,plain,(
% 0.13/0.40 (~sP2_prd|((~p_5|sP3_prd)&(p_5|~sP3_prd)))&(sP2_prd|((~p_5|~sP3_prd)&(p_5|sP3_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f26])).
% 0.13/0.40 fof(f28,plain,(
% 0.13/0.40 ~sP2_prd|~p_5|sP3_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.40 fof(f29,plain,(
% 0.13/0.40 ~sP2_prd|p_5|~sP3_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.40 fof(f30,plain,(
% 0.13/0.40 sP2_prd|~p_5|~sP3_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.40 fof(f31,plain,(
% 0.13/0.40 sP2_prd|p_5|sP3_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.40 fof(f32,definition,(
% 0.13/0.40 sP4_prd<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>(p_14<=>(p_1<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14)))))))))))))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 0.13/0.40 fof(f33,plain,(
% 0.13/0.40 sP3_prd<=>(p_6<=>sP4_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f25,f32])).
% 0.13/0.40 fof(f34,plain,(
% 0.13/0.40 (~sP3_prd|((~p_6|sP4_prd)&(p_6|~sP4_prd)))&(sP3_prd|((~p_6|~sP4_prd)&(p_6|sP4_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f33])).
% 0.13/0.40 fof(f35,plain,(
% 0.13/0.40 ~sP3_prd|~p_6|sP4_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.40 fof(f36,plain,(
% 0.13/0.40 ~sP3_prd|p_6|~sP4_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.40 fof(f37,plain,(
% 0.13/0.40 sP3_prd|~p_6|~sP4_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.40 fof(f38,plain,(
% 0.13/0.40 sP3_prd|p_6|sP4_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.40 fof(f39,definition,(
% 0.13/0.40 sP5_prd<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>(p_14<=>(p_1<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14))))))))))))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 sP4_prd<=>(p_7<=>sP5_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f32,f39])).
% 0.13/0.40 fof(f41,plain,(
% 0.13/0.40 (~sP4_prd|((~p_7|sP5_prd)&(p_7|~sP5_prd)))&(sP4_prd|((~p_7|~sP5_prd)&(p_7|sP5_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f40])).
% 0.13/0.40 fof(f42,plain,(
% 0.13/0.40 ~sP4_prd|~p_7|sP5_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 ~sP4_prd|p_7|~sP5_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.40 fof(f44,plain,(
% 0.13/0.40 sP4_prd|~p_7|~sP5_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.40 fof(f45,plain,(
% 0.13/0.40 sP4_prd|p_7|sP5_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.40 fof(f46,definition,(
% 0.13/0.40 sP6_prd<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>(p_14<=>(p_1<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14)))))))))))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 0.13/0.40 fof(f47,plain,(
% 0.13/0.40 sP5_prd<=>(p_8<=>sP6_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f39,f46])).
% 0.13/0.40 fof(f48,plain,(
% 0.13/0.40 (~sP5_prd|((~p_8|sP6_prd)&(p_8|~sP6_prd)))&(sP5_prd|((~p_8|~sP6_prd)&(p_8|sP6_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f47])).
% 0.13/0.40 fof(f49,plain,(
% 0.13/0.40 ~sP5_prd|~p_8|sP6_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/0.40 fof(f50,plain,(
% 0.13/0.40 ~sP5_prd|p_8|~sP6_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 sP5_prd|~p_8|~sP6_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 sP5_prd|p_8|sP6_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/0.40 fof(f53,definition,(
% 0.13/0.40 sP7_prd<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>(p_14<=>(p_1<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14))))))))))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 0.13/0.40 fof(f54,plain,(
% 0.13/0.40 sP6_prd<=>(p_9<=>sP7_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f46,f53])).
% 0.13/0.40 fof(f55,plain,(
% 0.13/0.40 (~sP6_prd|((~p_9|sP7_prd)&(p_9|~sP7_prd)))&(sP6_prd|((~p_9|~sP7_prd)&(p_9|sP7_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f54])).
% 0.13/0.40 fof(f56,plain,(
% 0.13/0.40 ~sP6_prd|~p_9|sP7_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f55])).
% 0.13/0.40 fof(f57,plain,(
% 0.13/0.40 ~sP6_prd|p_9|~sP7_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f55])).
% 0.13/0.40 fof(f58,plain,(
% 0.13/0.40 sP6_prd|~p_9|~sP7_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f55])).
% 0.13/0.40 fof(f59,plain,(
% 0.13/0.40 sP6_prd|p_9|sP7_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f55])).
% 0.13/0.40 fof(f60,definition,(
% 0.13/0.40 sP8_prd<=>(p_11<=>(p_12<=>(p_13<=>(p_14<=>(p_1<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14)))))))))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP8_prd])],[])).
% 0.13/0.40 fof(f61,plain,(
% 0.13/0.40 sP7_prd<=>(p_10<=>sP8_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f53,f60])).
% 0.13/0.40 fof(f62,plain,(
% 0.13/0.40 (~sP7_prd|((~p_10|sP8_prd)&(p_10|~sP8_prd)))&(sP7_prd|((~p_10|~sP8_prd)&(p_10|sP8_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f61])).
% 0.13/0.40 fof(f63,plain,(
% 0.13/0.40 ~sP7_prd|~p_10|sP8_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f62])).
% 0.13/0.40 fof(f64,plain,(
% 0.13/0.40 ~sP7_prd|p_10|~sP8_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f62])).
% 0.13/0.40 fof(f65,plain,(
% 0.13/0.40 sP7_prd|~p_10|~sP8_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f62])).
% 0.13/0.40 fof(f66,plain,(
% 0.13/0.40 sP7_prd|p_10|sP8_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f62])).
% 0.13/0.40 fof(f67,definition,(
% 0.13/0.40 sP9_prd<=>(p_12<=>(p_13<=>(p_14<=>(p_1<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14))))))))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 0.13/0.40 fof(f68,plain,(
% 0.13/0.40 sP8_prd<=>(p_11<=>sP9_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f60,f67])).
% 0.13/0.40 fof(f69,plain,(
% 0.13/0.40 (~sP8_prd|((~p_11|sP9_prd)&(p_11|~sP9_prd)))&(sP8_prd|((~p_11|~sP9_prd)&(p_11|sP9_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f68])).
% 0.13/0.40 fof(f70,plain,(
% 0.13/0.40 ~sP8_prd|~p_11|sP9_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f69])).
% 0.13/0.40 fof(f71,plain,(
% 0.13/0.40 ~sP8_prd|p_11|~sP9_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f69])).
% 0.13/0.40 fof(f72,plain,(
% 0.13/0.40 sP8_prd|~p_11|~sP9_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f69])).
% 0.13/0.40 fof(f73,plain,(
% 0.13/0.40 sP8_prd|p_11|sP9_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f69])).
% 0.13/0.40 fof(f74,definition,(
% 0.13/0.40 sP10_prd<=>(p_13<=>(p_14<=>(p_1<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14)))))))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP10_prd])],[])).
% 0.13/0.40 fof(f75,plain,(
% 0.13/0.40 sP9_prd<=>(p_12<=>sP10_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f67,f74])).
% 0.13/0.40 fof(f76,plain,(
% 0.13/0.40 (~sP9_prd|((~p_12|sP10_prd)&(p_12|~sP10_prd)))&(sP9_prd|((~p_12|~sP10_prd)&(p_12|sP10_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f75])).
% 0.13/0.40 fof(f77,plain,(
% 0.13/0.40 ~sP9_prd|~p_12|sP10_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f76])).
% 0.13/0.40 fof(f78,plain,(
% 0.13/0.40 ~sP9_prd|p_12|~sP10_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f76])).
% 0.13/0.40 fof(f79,plain,(
% 0.13/0.40 sP9_prd|~p_12|~sP10_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f76])).
% 0.13/0.40 fof(f80,plain,(
% 0.13/0.40 sP9_prd|p_12|sP10_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f76])).
% 0.13/0.40 fof(f81,definition,(
% 0.13/0.40 sP11_prd<=>(p_14<=>(p_1<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14))))))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 0.13/0.40 fof(f82,plain,(
% 0.13/0.40 sP10_prd<=>(p_13<=>sP11_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f74,f81])).
% 0.13/0.40 fof(f83,plain,(
% 0.13/0.40 (~sP10_prd|((~p_13|sP11_prd)&(p_13|~sP11_prd)))&(sP10_prd|((~p_13|~sP11_prd)&(p_13|sP11_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f82])).
% 0.13/0.40 fof(f84,plain,(
% 0.13/0.40 ~sP10_prd|~p_13|sP11_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f83])).
% 0.13/0.40 fof(f85,plain,(
% 0.13/0.40 ~sP10_prd|p_13|~sP11_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f83])).
% 0.13/0.40 fof(f86,plain,(
% 0.13/0.40 sP10_prd|~p_13|~sP11_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f83])).
% 0.13/0.40 fof(f87,plain,(
% 0.13/0.40 sP10_prd|p_13|sP11_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f83])).
% 0.13/0.40 fof(f88,definition,(
% 0.13/0.40 sP12_prd<=>(p_1<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14)))))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP12_prd])],[])).
% 0.13/0.40 fof(f89,plain,(
% 0.13/0.40 sP11_prd<=>(p_14<=>sP12_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f81,f88])).
% 0.13/0.40 fof(f90,plain,(
% 0.13/0.40 (~sP11_prd|((~p_14|sP12_prd)&(p_14|~sP12_prd)))&(sP11_prd|((~p_14|~sP12_prd)&(p_14|sP12_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f89])).
% 0.13/0.40 fof(f91,plain,(
% 0.13/0.40 ~sP11_prd|~p_14|sP12_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f90])).
% 0.13/0.40 fof(f92,plain,(
% 0.13/0.40 ~sP11_prd|p_14|~sP12_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f90])).
% 0.13/0.40 fof(f93,plain,(
% 0.13/0.40 sP11_prd|~p_14|~sP12_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f90])).
% 0.13/0.40 fof(f94,plain,(
% 0.13/0.40 sP11_prd|p_14|sP12_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f90])).
% 0.13/0.40 fof(f95,definition,(
% 0.13/0.40 sP13_prd<=>(p_2<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14))))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP13_prd])],[])).
% 0.13/0.40 fof(f96,plain,(
% 0.13/0.40 sP12_prd<=>(p_1<=>sP13_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f88,f95])).
% 0.13/0.40 fof(f97,plain,(
% 0.13/0.40 (~sP12_prd|((~p_1|sP13_prd)&(p_1|~sP13_prd)))&(sP12_prd|((~p_1|~sP13_prd)&(p_1|sP13_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f96])).
% 0.13/0.40 fof(f98,plain,(
% 0.13/0.40 ~sP12_prd|~p_1|sP13_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f97])).
% 0.13/0.40 fof(f99,plain,(
% 0.13/0.40 ~sP12_prd|p_1|~sP13_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f97])).
% 0.13/0.40 fof(f100,plain,(
% 0.13/0.40 sP12_prd|~p_1|~sP13_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f97])).
% 0.13/0.40 fof(f101,plain,(
% 0.13/0.40 sP12_prd|p_1|sP13_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f97])).
% 0.13/0.40 fof(f102,definition,(
% 0.13/0.40 sP14_prd<=>(p_3<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14)))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP14_prd])],[])).
% 0.13/0.40 fof(f103,plain,(
% 0.13/0.40 sP13_prd<=>(p_2<=>sP14_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f95,f102])).
% 0.13/0.40 fof(f104,plain,(
% 0.13/0.40 (~sP13_prd|((~p_2|sP14_prd)&(p_2|~sP14_prd)))&(sP13_prd|((~p_2|~sP14_prd)&(p_2|sP14_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f103])).
% 0.13/0.40 fof(f105,plain,(
% 0.13/0.40 ~sP13_prd|~p_2|sP14_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f104])).
% 0.13/0.40 fof(f106,plain,(
% 0.13/0.40 ~sP13_prd|p_2|~sP14_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f104])).
% 0.13/0.40 fof(f107,plain,(
% 0.13/0.40 sP13_prd|~p_2|~sP14_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f104])).
% 0.13/0.40 fof(f108,plain,(
% 0.13/0.40 sP13_prd|p_2|sP14_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f104])).
% 0.13/0.40 fof(f109,definition,(
% 0.13/0.40 sP15_prd<=>(p_4<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14))))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP15_prd])],[])).
% 0.13/0.40 fof(f110,plain,(
% 0.13/0.40 sP14_prd<=>(p_3<=>sP15_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f102,f109])).
% 0.13/0.40 fof(f111,plain,(
% 0.13/0.40 (~sP14_prd|((~p_3|sP15_prd)&(p_3|~sP15_prd)))&(sP14_prd|((~p_3|~sP15_prd)&(p_3|sP15_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f110])).
% 0.13/0.40 fof(f112,plain,(
% 0.13/0.40 ~sP14_prd|~p_3|sP15_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f111])).
% 0.13/0.40 fof(f113,plain,(
% 0.13/0.40 ~sP14_prd|p_3|~sP15_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f111])).
% 0.13/0.40 fof(f114,plain,(
% 0.13/0.40 sP14_prd|~p_3|~sP15_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f111])).
% 0.13/0.40 fof(f115,plain,(
% 0.13/0.40 sP14_prd|p_3|sP15_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f111])).
% 0.13/0.40 fof(f116,definition,(
% 0.13/0.40 sP16_prd<=>(p_5<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14)))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP16_prd])],[])).
% 0.13/0.40 fof(f117,plain,(
% 0.13/0.40 sP15_prd<=>(p_4<=>sP16_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f109,f116])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 (~sP15_prd|((~p_4|sP16_prd)&(p_4|~sP16_prd)))&(sP15_prd|((~p_4|~sP16_prd)&(p_4|sP16_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f117])).
% 0.13/0.40 fof(f119,plain,(
% 0.13/0.40 ~sP15_prd|~p_4|sP16_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f118])).
% 0.13/0.40 fof(f120,plain,(
% 0.13/0.40 ~sP15_prd|p_4|~sP16_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f118])).
% 0.13/0.40 fof(f121,plain,(
% 0.13/0.40 sP15_prd|~p_4|~sP16_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f118])).
% 0.13/0.40 fof(f122,plain,(
% 0.13/0.40 sP15_prd|p_4|sP16_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f118])).
% 0.13/0.40 fof(f123,definition,(
% 0.13/0.40 sP17_prd<=>(p_6<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14))))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP17_prd])],[])).
% 0.13/0.40 fof(f124,plain,(
% 0.13/0.40 sP16_prd<=>(p_5<=>sP17_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f116,f123])).
% 0.13/0.40 fof(f125,plain,(
% 0.13/0.40 (~sP16_prd|((~p_5|sP17_prd)&(p_5|~sP17_prd)))&(sP16_prd|((~p_5|~sP17_prd)&(p_5|sP17_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f124])).
% 0.13/0.40 fof(f126,plain,(
% 0.13/0.40 ~sP16_prd|~p_5|sP17_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f125])).
% 0.13/0.40 fof(f127,plain,(
% 0.13/0.40 ~sP16_prd|p_5|~sP17_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f125])).
% 0.13/0.40 fof(f128,plain,(
% 0.13/0.40 sP16_prd|~p_5|~sP17_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f125])).
% 0.13/0.40 fof(f129,plain,(
% 0.13/0.40 sP16_prd|p_5|sP17_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f125])).
% 0.13/0.40 fof(f130,definition,(
% 0.13/0.40 sP18_prd<=>(p_7<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14)))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP18_prd])],[])).
% 0.13/0.40 fof(f131,plain,(
% 0.13/0.40 sP17_prd<=>(p_6<=>sP18_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f123,f130])).
% 0.13/0.40 fof(f132,plain,(
% 0.13/0.40 (~sP17_prd|((~p_6|sP18_prd)&(p_6|~sP18_prd)))&(sP17_prd|((~p_6|~sP18_prd)&(p_6|sP18_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f131])).
% 0.13/0.40 fof(f133,plain,(
% 0.13/0.40 ~sP17_prd|~p_6|sP18_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f132])).
% 0.13/0.40 fof(f134,plain,(
% 0.13/0.40 ~sP17_prd|p_6|~sP18_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f132])).
% 0.13/0.40 fof(f135,plain,(
% 0.13/0.40 sP17_prd|~p_6|~sP18_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f132])).
% 0.13/0.40 fof(f136,plain,(
% 0.13/0.40 sP17_prd|p_6|sP18_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f132])).
% 0.13/0.40 fof(f137,definition,(
% 0.13/0.40 sP19_prd<=>(p_8<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14))))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP19_prd])],[])).
% 0.13/0.40 fof(f138,plain,(
% 0.13/0.40 sP18_prd<=>(p_7<=>sP19_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f130,f137])).
% 0.13/0.40 fof(f139,plain,(
% 0.13/0.40 (~sP18_prd|((~p_7|sP19_prd)&(p_7|~sP19_prd)))&(sP18_prd|((~p_7|~sP19_prd)&(p_7|sP19_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f138])).
% 0.13/0.40 fof(f140,plain,(
% 0.13/0.40 ~sP18_prd|~p_7|sP19_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f139])).
% 0.13/0.40 fof(f141,plain,(
% 0.13/0.40 ~sP18_prd|p_7|~sP19_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f139])).
% 0.13/0.40 fof(f142,plain,(
% 0.13/0.40 sP18_prd|~p_7|~sP19_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f139])).
% 0.13/0.40 fof(f143,plain,(
% 0.13/0.40 sP18_prd|p_7|sP19_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f139])).
% 0.13/0.40 fof(f144,definition,(
% 0.13/0.40 sP20_prd<=>(p_9<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14)))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP20_prd])],[])).
% 0.13/0.40 fof(f145,plain,(
% 0.13/0.40 sP19_prd<=>(p_8<=>sP20_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f137,f144])).
% 0.13/0.40 fof(f146,plain,(
% 0.13/0.40 (~sP19_prd|((~p_8|sP20_prd)&(p_8|~sP20_prd)))&(sP19_prd|((~p_8|~sP20_prd)&(p_8|sP20_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f145])).
% 0.13/0.40 fof(f147,plain,(
% 0.13/0.40 ~sP19_prd|~p_8|sP20_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f146])).
% 0.13/0.40 fof(f148,plain,(
% 0.13/0.40 ~sP19_prd|p_8|~sP20_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f146])).
% 0.13/0.40 fof(f149,plain,(
% 0.13/0.40 sP19_prd|~p_8|~sP20_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f146])).
% 0.13/0.40 fof(f150,plain,(
% 0.13/0.40 sP19_prd|p_8|sP20_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f146])).
% 0.13/0.40 fof(f151,definition,(
% 0.13/0.40 sP21_prd<=>(p_10<=>(p_11<=>(p_12<=>(p_13<=>p_14))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP21_prd])],[])).
% 0.13/0.40 fof(f152,plain,(
% 0.13/0.40 sP20_prd<=>(p_9<=>sP21_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f144,f151])).
% 0.13/0.40 fof(f153,plain,(
% 0.13/0.40 (~sP20_prd|((~p_9|sP21_prd)&(p_9|~sP21_prd)))&(sP20_prd|((~p_9|~sP21_prd)&(p_9|sP21_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f152])).
% 0.13/0.40 fof(f154,plain,(
% 0.13/0.40 ~sP20_prd|~p_9|sP21_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f153])).
% 0.13/0.40 fof(f155,plain,(
% 0.13/0.40 ~sP20_prd|p_9|~sP21_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f153])).
% 0.13/0.40 fof(f156,plain,(
% 0.13/0.40 sP20_prd|~p_9|~sP21_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f153])).
% 0.13/0.40 fof(f157,plain,(
% 0.13/0.40 sP20_prd|p_9|sP21_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f153])).
% 0.13/0.40 fof(f158,definition,(
% 0.13/0.40 sP22_prd<=>(p_11<=>(p_12<=>(p_13<=>p_14)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP22_prd])],[])).
% 0.13/0.40 fof(f159,plain,(
% 0.13/0.40 sP21_prd<=>(p_10<=>sP22_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f151,f158])).
% 0.13/0.40 fof(f160,plain,(
% 0.13/0.40 (~sP21_prd|((~p_10|sP22_prd)&(p_10|~sP22_prd)))&(sP21_prd|((~p_10|~sP22_prd)&(p_10|sP22_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f159])).
% 0.13/0.40 fof(f161,plain,(
% 0.13/0.40 ~sP21_prd|~p_10|sP22_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f160])).
% 0.13/0.40 fof(f162,plain,(
% 0.13/0.40 ~sP21_prd|p_10|~sP22_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f160])).
% 0.13/0.40 fof(f163,plain,(
% 0.13/0.40 sP21_prd|~p_10|~sP22_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f160])).
% 0.13/0.40 fof(f164,plain,(
% 0.13/0.40 sP21_prd|p_10|sP22_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f160])).
% 0.13/0.40 fof(f165,definition,(
% 0.13/0.40 sP23_prd<=>(p_12<=>(p_13<=>p_14))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP23_prd])],[])).
% 0.13/0.40 fof(f166,plain,(
% 0.13/0.40 sP22_prd<=>(p_11<=>sP23_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f158,f165])).
% 0.13/0.40 fof(f167,plain,(
% 0.13/0.40 (~sP22_prd|((~p_11|sP23_prd)&(p_11|~sP23_prd)))&(sP22_prd|((~p_11|~sP23_prd)&(p_11|sP23_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f166])).
% 0.13/0.40 fof(f168,plain,(
% 0.13/0.40 ~sP22_prd|~p_11|sP23_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f167])).
% 0.13/0.40 fof(f169,plain,(
% 0.13/0.40 ~sP22_prd|p_11|~sP23_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f167])).
% 0.13/0.40 fof(f170,plain,(
% 0.13/0.40 sP22_prd|~p_11|~sP23_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f167])).
% 0.13/0.40 fof(f171,plain,(
% 0.13/0.40 sP22_prd|p_11|sP23_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f167])).
% 0.13/0.40 fof(f172,definition,(
% 0.13/0.40 sP24_prd<=>(p_13<=>p_14)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP24_prd])],[])).
% 0.13/0.40 fof(f173,plain,(
% 0.13/0.40 sP23_prd<=>(p_12<=>sP24_prd)),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f165,f172])).
% 0.13/0.40 fof(f174,plain,(
% 0.13/0.40 (~sP23_prd|((~p_12|sP24_prd)&(p_12|~sP24_prd)))&(sP23_prd|((~p_12|~sP24_prd)&(p_12|sP24_prd)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f173])).
% 0.13/0.40 fof(f175,plain,(
% 0.13/0.40 ~sP23_prd|~p_12|sP24_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f174])).
% 0.13/0.40 fof(f176,plain,(
% 0.13/0.40 ~sP23_prd|p_12|~sP24_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f174])).
% 0.13/0.40 fof(f177,plain,(
% 0.13/0.40 sP23_prd|~p_12|~sP24_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f174])).
% 0.13/0.40 fof(f178,plain,(
% 0.13/0.40 sP23_prd|p_12|sP24_prd),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f174])).
% 0.13/0.40 fof(f179,plain,(
% 0.13/0.40 (~sP24_prd|((~p_13|p_14)&(p_13|~p_14)))&(sP24_prd|((~p_13|~p_14)&(p_13|p_14)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f172])).
% 0.13/0.40 fof(f180,plain,(
% 0.13/0.40 ~sP24_prd|~p_13|p_14),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f179])).
% 0.13/0.40 fof(f181,plain,(
% 0.13/0.40 ~sP24_prd|p_13|~p_14),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f179])).
% 0.13/0.40 fof(f182,plain,(
% 0.13/0.40 sP24_prd|~p_13|~p_14),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f179])).
% 0.13/0.40 fof(f183,plain,(
% 0.13/0.40 sP24_prd|p_13|p_14),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f179])).
% 0.13/0.40 fof(f184,definition,(
% 0.13/0.40 sQ0_spl <=> (p_1)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f187,definition,(
% 0.13/0.40 sQ1_spl <=> (p_2)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f190,definition,(
% 0.13/0.40 sQ2_spl <=> (sP0_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f193,plain,(
% 0.13/0.40 sQ0_spl|~sQ1_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f7,f184,f187,f190])).
% 0.13/0.40 fof(f194,plain,(
% 0.13/0.40 sQ0_spl|sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f8,f184,f187,f190])).
% 0.13/0.40 fof(f195,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f9,f184,f187,f190])).
% 0.13/0.40 fof(f196,plain,(
% 0.13/0.40 ~sQ0_spl|sQ1_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f10,f184,f187,f190])).
% 0.13/0.40 fof(f197,definition,(
% 0.13/0.40 sQ3_spl <=> (p_3)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f200,definition,(
% 0.13/0.40 sQ4_spl <=> (sP1_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f203,plain,(
% 0.13/0.40 ~sQ2_spl|~sQ3_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f14,f190,f197,f200])).
% 0.13/0.40 fof(f204,plain,(
% 0.13/0.40 ~sQ2_spl|sQ3_spl|~sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f15,f190,f197,f200])).
% 0.13/0.40 fof(f205,plain,(
% 0.13/0.40 sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f16,f190,f197,f200])).
% 0.13/0.40 fof(f206,plain,(
% 0.13/0.40 sQ2_spl|sQ3_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f17,f190,f197,f200])).
% 0.13/0.40 fof(f207,definition,(
% 0.13/0.40 sQ5_spl <=> (p_4)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f210,definition,(
% 0.13/0.40 sQ6_spl <=> (sP2_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f213,plain,(
% 0.13/0.40 ~sQ4_spl|~sQ5_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f21,f200,f207,f210])).
% 0.13/0.40 fof(f214,plain,(
% 0.13/0.40 ~sQ4_spl|sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f22,f200,f207,f210])).
% 0.13/0.40 fof(f215,plain,(
% 0.13/0.40 sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f23,f200,f207,f210])).
% 0.13/0.40 fof(f216,plain,(
% 0.13/0.40 sQ4_spl|sQ5_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f24,f200,f207,f210])).
% 0.13/0.40 fof(f217,definition,(
% 0.13/0.40 sQ7_spl <=> (p_5)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f220,definition,(
% 0.13/0.40 sQ8_spl <=> (sP3_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f223,plain,(
% 0.13/0.40 ~sQ6_spl|~sQ7_spl|sQ8_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f28,f210,f217,f220])).
% 0.13/0.40 fof(f224,plain,(
% 0.13/0.40 ~sQ6_spl|sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f29,f210,f217,f220])).
% 0.13/0.40 fof(f225,plain,(
% 0.13/0.40 sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f30,f210,f217,f220])).
% 0.13/0.40 fof(f226,plain,(
% 0.13/0.40 sQ6_spl|sQ7_spl|sQ8_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f31,f210,f217,f220])).
% 0.13/0.40 fof(f227,definition,(
% 0.13/0.40 sQ9_spl <=> (p_6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f230,definition,(
% 0.13/0.40 sQ10_spl <=> (sP4_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f233,plain,(
% 0.13/0.40 ~sQ8_spl|~sQ9_spl|sQ10_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f35,f220,f227,f230])).
% 0.13/0.40 fof(f234,plain,(
% 0.13/0.40 ~sQ8_spl|sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f36,f220,f227,f230])).
% 0.13/0.40 fof(f235,plain,(
% 0.13/0.40 sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f37,f220,f227,f230])).
% 0.13/0.40 fof(f236,plain,(
% 0.13/0.40 sQ8_spl|sQ9_spl|sQ10_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f38,f220,f227,f230])).
% 0.13/0.40 fof(f237,definition,(
% 0.13/0.40 sQ11_spl <=> (p_7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f240,definition,(
% 0.13/0.40 sQ12_spl <=> (sP5_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f243,plain,(
% 0.13/0.40 ~sQ10_spl|~sQ11_spl|sQ12_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f42,f230,f237,f240])).
% 0.13/0.40 fof(f244,plain,(
% 0.13/0.40 ~sQ10_spl|sQ11_spl|~sQ12_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f43,f230,f237,f240])).
% 0.13/0.40 fof(f245,plain,(
% 0.13/0.40 sQ10_spl|~sQ11_spl|~sQ12_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f44,f230,f237,f240])).
% 0.13/0.40 fof(f246,plain,(
% 0.13/0.40 sQ10_spl|sQ11_spl|sQ12_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f45,f230,f237,f240])).
% 0.13/0.40 fof(f247,definition,(
% 0.13/0.40 sQ13_spl <=> (p_8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f250,definition,(
% 0.13/0.40 sQ14_spl <=> (sP6_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f253,plain,(
% 0.13/0.40 ~sQ12_spl|~sQ13_spl|sQ14_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f49,f240,f247,f250])).
% 0.13/0.40 fof(f254,plain,(
% 0.13/0.40 ~sQ12_spl|sQ13_spl|~sQ14_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f50,f240,f247,f250])).
% 0.13/0.40 fof(f255,plain,(
% 0.13/0.40 sQ12_spl|~sQ13_spl|~sQ14_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f51,f240,f247,f250])).
% 0.13/0.40 fof(f256,plain,(
% 0.13/0.40 sQ12_spl|sQ13_spl|sQ14_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f52,f240,f247,f250])).
% 0.13/0.40 fof(f257,definition,(
% 0.13/0.40 sQ15_spl <=> (p_9)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f260,definition,(
% 0.13/0.40 sQ16_spl <=> (sP7_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f263,plain,(
% 0.13/0.40 ~sQ14_spl|~sQ15_spl|sQ16_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f56,f250,f257,f260])).
% 0.13/0.40 fof(f264,plain,(
% 0.13/0.40 ~sQ14_spl|sQ15_spl|~sQ16_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f57,f250,f257,f260])).
% 0.13/0.40 fof(f265,plain,(
% 0.13/0.40 sQ14_spl|~sQ15_spl|~sQ16_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f58,f250,f257,f260])).
% 0.13/0.40 fof(f266,plain,(
% 0.13/0.40 sQ14_spl|sQ15_spl|sQ16_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f59,f250,f257,f260])).
% 0.13/0.40 fof(f267,definition,(
% 0.13/0.40 sQ17_spl <=> (p_10)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f270,definition,(
% 0.13/0.40 sQ18_spl <=> (sP8_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f273,plain,(
% 0.13/0.40 ~sQ16_spl|~sQ17_spl|sQ18_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f63,f260,f267,f270])).
% 0.13/0.40 fof(f274,plain,(
% 0.13/0.40 ~sQ16_spl|sQ17_spl|~sQ18_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f64,f260,f267,f270])).
% 0.13/0.40 fof(f275,plain,(
% 0.13/0.40 sQ16_spl|~sQ17_spl|~sQ18_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f65,f260,f267,f270])).
% 0.13/0.40 fof(f276,plain,(
% 0.13/0.40 sQ16_spl|sQ17_spl|sQ18_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f66,f260,f267,f270])).
% 0.13/0.40 fof(f277,definition,(
% 0.13/0.40 sQ19_spl <=> (p_11)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f280,definition,(
% 0.13/0.40 sQ20_spl <=> (sP9_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f283,plain,(
% 0.13/0.40 ~sQ18_spl|~sQ19_spl|sQ20_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f70,f270,f277,f280])).
% 0.13/0.40 fof(f284,plain,(
% 0.13/0.40 ~sQ18_spl|sQ19_spl|~sQ20_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f71,f270,f277,f280])).
% 0.13/0.40 fof(f285,plain,(
% 0.13/0.40 sQ18_spl|~sQ19_spl|~sQ20_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f72,f270,f277,f280])).
% 0.13/0.40 fof(f286,plain,(
% 0.13/0.40 sQ18_spl|sQ19_spl|sQ20_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f73,f270,f277,f280])).
% 0.13/0.40 fof(f287,definition,(
% 0.13/0.40 sQ21_spl <=> (p_12)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f290,definition,(
% 0.13/0.40 sQ22_spl <=> (sP10_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f293,plain,(
% 0.13/0.40 ~sQ20_spl|~sQ21_spl|sQ22_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f77,f280,f287,f290])).
% 0.13/0.40 fof(f294,plain,(
% 0.13/0.40 ~sQ20_spl|sQ21_spl|~sQ22_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f78,f280,f287,f290])).
% 0.13/0.40 fof(f295,plain,(
% 0.13/0.40 sQ20_spl|~sQ21_spl|~sQ22_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f79,f280,f287,f290])).
% 0.13/0.40 fof(f296,plain,(
% 0.13/0.40 sQ20_spl|sQ21_spl|sQ22_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f80,f280,f287,f290])).
% 0.13/0.40 fof(f297,definition,(
% 0.13/0.40 sQ23_spl <=> (p_13)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f300,definition,(
% 0.13/0.40 sQ24_spl <=> (sP11_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f303,plain,(
% 0.13/0.40 ~sQ22_spl|~sQ23_spl|sQ24_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f84,f290,f297,f300])).
% 0.13/0.40 fof(f304,plain,(
% 0.13/0.40 ~sQ22_spl|sQ23_spl|~sQ24_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f85,f290,f297,f300])).
% 0.13/0.40 fof(f305,plain,(
% 0.13/0.40 sQ22_spl|~sQ23_spl|~sQ24_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f86,f290,f297,f300])).
% 0.13/0.40 fof(f306,plain,(
% 0.13/0.40 sQ22_spl|sQ23_spl|sQ24_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f87,f290,f297,f300])).
% 0.13/0.40 fof(f307,definition,(
% 0.13/0.40 sQ25_spl <=> (p_14)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f310,definition,(
% 0.13/0.40 sQ26_spl <=> (sP12_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f313,plain,(
% 0.13/0.40 ~sQ24_spl|~sQ25_spl|sQ26_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f91,f300,f307,f310])).
% 0.13/0.40 fof(f314,plain,(
% 0.13/0.40 ~sQ24_spl|sQ25_spl|~sQ26_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f92,f300,f307,f310])).
% 0.13/0.40 fof(f315,plain,(
% 0.13/0.40 sQ24_spl|~sQ25_spl|~sQ26_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f93,f300,f307,f310])).
% 0.13/0.40 fof(f316,plain,(
% 0.13/0.40 sQ24_spl|sQ25_spl|sQ26_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f94,f300,f307,f310])).
% 0.13/0.40 fof(f317,definition,(
% 0.13/0.40 sQ27_spl <=> (sP13_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f320,plain,(
% 0.13/0.40 ~sQ26_spl|~sQ0_spl|sQ27_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f98,f310,f184,f317])).
% 0.13/0.40 fof(f321,plain,(
% 0.13/0.40 ~sQ26_spl|sQ0_spl|~sQ27_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f99,f310,f184,f317])).
% 0.13/0.40 fof(f322,plain,(
% 0.13/0.40 sQ26_spl|~sQ0_spl|~sQ27_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f100,f310,f184,f317])).
% 0.13/0.40 fof(f323,plain,(
% 0.13/0.40 sQ26_spl|sQ0_spl|sQ27_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f101,f310,f184,f317])).
% 0.13/0.40 fof(f324,definition,(
% 0.13/0.40 sQ28_spl <=> (sP14_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f327,plain,(
% 0.13/0.40 ~sQ27_spl|~sQ1_spl|sQ28_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f105,f317,f187,f324])).
% 0.13/0.40 fof(f328,plain,(
% 0.13/0.40 ~sQ27_spl|sQ1_spl|~sQ28_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f106,f317,f187,f324])).
% 0.13/0.40 fof(f329,plain,(
% 0.13/0.40 sQ27_spl|~sQ1_spl|~sQ28_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f107,f317,f187,f324])).
% 0.13/0.40 fof(f330,plain,(
% 0.13/0.40 sQ27_spl|sQ1_spl|sQ28_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f108,f317,f187,f324])).
% 0.13/0.40 fof(f331,definition,(
% 0.13/0.40 sQ29_spl <=> (sP15_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f334,plain,(
% 0.13/0.40 ~sQ28_spl|~sQ3_spl|sQ29_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f112,f324,f197,f331])).
% 0.13/0.40 fof(f335,plain,(
% 0.13/0.40 ~sQ28_spl|sQ3_spl|~sQ29_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f113,f324,f197,f331])).
% 0.13/0.40 fof(f336,plain,(
% 0.13/0.40 sQ28_spl|~sQ3_spl|~sQ29_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f114,f324,f197,f331])).
% 0.13/0.40 fof(f337,plain,(
% 0.13/0.40 sQ28_spl|sQ3_spl|sQ29_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f115,f324,f197,f331])).
% 0.13/0.40 fof(f338,definition,(
% 0.13/0.40 sQ30_spl <=> (sP16_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f341,plain,(
% 0.13/0.40 ~sQ29_spl|~sQ5_spl|sQ30_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f119,f331,f207,f338])).
% 0.13/0.40 fof(f342,plain,(
% 0.13/0.40 ~sQ29_spl|sQ5_spl|~sQ30_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f120,f331,f207,f338])).
% 0.13/0.40 fof(f343,plain,(
% 0.13/0.40 sQ29_spl|~sQ5_spl|~sQ30_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f121,f331,f207,f338])).
% 0.13/0.40 fof(f344,plain,(
% 0.13/0.40 sQ29_spl|sQ5_spl|sQ30_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f122,f331,f207,f338])).
% 0.13/0.40 fof(f345,definition,(
% 0.13/0.40 sQ31_spl <=> (sP17_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f348,plain,(
% 0.13/0.40 ~sQ30_spl|~sQ7_spl|sQ31_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f126,f338,f217,f345])).
% 0.13/0.40 fof(f349,plain,(
% 0.13/0.40 ~sQ30_spl|sQ7_spl|~sQ31_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f127,f338,f217,f345])).
% 0.13/0.40 fof(f350,plain,(
% 0.13/0.40 sQ30_spl|~sQ7_spl|~sQ31_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f128,f338,f217,f345])).
% 0.13/0.40 fof(f351,plain,(
% 0.13/0.40 sQ30_spl|sQ7_spl|sQ31_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f129,f338,f217,f345])).
% 0.13/0.40 fof(f352,definition,(
% 0.13/0.40 sQ32_spl <=> (sP18_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f355,plain,(
% 0.13/0.40 ~sQ31_spl|~sQ9_spl|sQ32_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f133,f345,f227,f352])).
% 0.13/0.40 fof(f356,plain,(
% 0.13/0.40 ~sQ31_spl|sQ9_spl|~sQ32_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f134,f345,f227,f352])).
% 0.13/0.40 fof(f357,plain,(
% 0.13/0.40 sQ31_spl|~sQ9_spl|~sQ32_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f135,f345,f227,f352])).
% 0.13/0.40 fof(f358,plain,(
% 0.13/0.40 sQ31_spl|sQ9_spl|sQ32_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f136,f345,f227,f352])).
% 0.13/0.40 fof(f359,definition,(
% 0.13/0.40 sQ33_spl <=> (sP19_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f362,plain,(
% 0.13/0.40 ~sQ32_spl|~sQ11_spl|sQ33_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f140,f352,f237,f359])).
% 0.13/0.40 fof(f363,plain,(
% 0.13/0.40 ~sQ32_spl|sQ11_spl|~sQ33_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f141,f352,f237,f359])).
% 0.13/0.40 fof(f364,plain,(
% 0.13/0.40 sQ32_spl|~sQ11_spl|~sQ33_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f142,f352,f237,f359])).
% 0.13/0.40 fof(f365,plain,(
% 0.13/0.40 sQ32_spl|sQ11_spl|sQ33_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f143,f352,f237,f359])).
% 0.13/0.40 fof(f366,definition,(
% 0.13/0.40 sQ34_spl <=> (sP20_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f369,plain,(
% 0.13/0.40 ~sQ33_spl|~sQ13_spl|sQ34_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f147,f359,f247,f366])).
% 0.13/0.40 fof(f370,plain,(
% 0.13/0.40 ~sQ33_spl|sQ13_spl|~sQ34_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f148,f359,f247,f366])).
% 0.13/0.40 fof(f371,plain,(
% 0.13/0.40 sQ33_spl|~sQ13_spl|~sQ34_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f149,f359,f247,f366])).
% 0.13/0.40 fof(f372,plain,(
% 0.13/0.40 sQ33_spl|sQ13_spl|sQ34_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f150,f359,f247,f366])).
% 0.13/0.40 fof(f373,definition,(
% 0.13/0.40 sQ35_spl <=> (sP21_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f376,plain,(
% 0.13/0.40 ~sQ34_spl|~sQ15_spl|sQ35_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f154,f366,f257,f373])).
% 0.13/0.40 fof(f377,plain,(
% 0.13/0.40 ~sQ34_spl|sQ15_spl|~sQ35_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f155,f366,f257,f373])).
% 0.13/0.40 fof(f378,plain,(
% 0.13/0.40 sQ34_spl|~sQ15_spl|~sQ35_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f156,f366,f257,f373])).
% 0.13/0.40 fof(f379,plain,(
% 0.13/0.40 sQ34_spl|sQ15_spl|sQ35_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f157,f366,f257,f373])).
% 0.13/0.40 fof(f380,definition,(
% 0.13/0.40 sQ36_spl <=> (sP22_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f383,plain,(
% 0.13/0.40 ~sQ35_spl|~sQ17_spl|sQ36_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f161,f373,f267,f380])).
% 0.13/0.40 fof(f384,plain,(
% 0.13/0.40 ~sQ35_spl|sQ17_spl|~sQ36_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f162,f373,f267,f380])).
% 0.13/0.40 fof(f385,plain,(
% 0.13/0.40 sQ35_spl|~sQ17_spl|~sQ36_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f163,f373,f267,f380])).
% 0.13/0.40 fof(f386,plain,(
% 0.13/0.40 sQ35_spl|sQ17_spl|sQ36_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f164,f373,f267,f380])).
% 0.13/0.40 fof(f387,definition,(
% 0.13/0.40 sQ37_spl <=> (sP23_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f390,plain,(
% 0.13/0.40 ~sQ36_spl|~sQ19_spl|sQ37_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f168,f380,f277,f387])).
% 0.13/0.40 fof(f391,plain,(
% 0.13/0.40 ~sQ36_spl|sQ19_spl|~sQ37_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f169,f380,f277,f387])).
% 0.13/0.40 fof(f392,plain,(
% 0.13/0.40 sQ36_spl|~sQ19_spl|~sQ37_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f170,f380,f277,f387])).
% 0.13/0.40 fof(f393,plain,(
% 0.13/0.40 sQ36_spl|sQ19_spl|sQ37_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f171,f380,f277,f387])).
% 0.13/0.40 fof(f394,definition,(
% 0.13/0.40 sQ38_spl <=> (sP24_prd)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f397,plain,(
% 0.13/0.40 ~sQ37_spl|~sQ21_spl|sQ38_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f175,f387,f287,f394])).
% 0.13/0.40 fof(f398,plain,(
% 0.13/0.40 ~sQ37_spl|sQ21_spl|~sQ38_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f176,f387,f287,f394])).
% 0.13/0.40 fof(f399,plain,(
% 0.13/0.40 sQ37_spl|~sQ21_spl|~sQ38_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f177,f387,f287,f394])).
% 0.13/0.40 fof(f400,plain,(
% 0.13/0.40 sQ37_spl|sQ21_spl|sQ38_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f178,f387,f287,f394])).
% 0.13/0.40 fof(f401,plain,(
% 0.13/0.40 ~sQ38_spl|~sQ23_spl|sQ25_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f180,f394,f297,f307])).
% 0.13/0.40 fof(f402,plain,(
% 0.13/0.40 ~sQ38_spl|sQ23_spl|~sQ25_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f181,f394,f297,f307])).
% 0.13/0.40 fof(f403,plain,(
% 0.13/0.40 sQ38_spl|~sQ23_spl|~sQ25_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f182,f394,f297,f307])).
% 0.13/0.40 fof(f404,plain,(
% 0.13/0.40 sQ38_spl|sQ23_spl|sQ25_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f183,f394,f297,f307])).
% 0.13/0.40 fof(f405,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f193,f194,f195,f196,f203,f204,f205,f206,f213,f214,f215,f216,f223,f224,f225,f226,f233,f234,f235,f236,f243,f244,f245,f246,f253,f254,f255,f256,f263,f264,f265,f266,f273,f274,f275,f276,f283,f284,f285,f286,f293,f294,f295,f296,f303,f304,f305,f306,f313,f314,f315,f316,f320,f321,f322,f323,f327,f328,f329,f330,f334,f335,f336,f337,f341,f342,f343,f344,f348,f349,f350,f351,f355,f356,f357,f358,f362,f363,f364,f365,f369,f370,f371,f372,f376,f377,f378,f379,f383,f384,f385,f386,f390,f391,f392,f393,f397,f398,f399,f400,f401,f402,f403,f404])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.059103 seconds
% 0.13/0.42 % CPU time: 0.274354 seconds
% 0.13/0.42 % Total memory used: 19.400 MB
% 0.13/0.42 % Net memory used: 19.362 MB
%------------------------------------------------------------------------------