%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN094-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 03:18:57 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN094-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.54 % Computer : n010.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.54 % WCLimit : 300
% 0.10/0.54 % DateTime : Mon Sep 21 10:43:12 UTC 2026
% 0.10/0.54 % CPUTime :
% 0.10/0.55 % Drodi V4.1.1
% 0.14/0.56 % Refutation found
% 0.14/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.56 fof(f1,negated_conjecture,(
% 0.14/0.56 ( u_1| ~ p_0| ~ q_0 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f2,axiom,(
% 0.14/0.56 ~ u_1 ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f4,axiom,(
% 0.14/0.56 ( p_0| ~ u_2 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f5,axiom,(
% 0.14/0.56 ( u_3| p_0| ~ q_1| ~ q_2 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f6,axiom,(
% 0.14/0.56 ( p_0| ~ u_3 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f8,axiom,(
% 0.14/0.56 ( p_1| ~ u_4 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f9,axiom,(
% 0.14/0.56 ( u_5| p_1| ~ q_2| ~ q_3 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f10,axiom,(
% 0.14/0.56 ( p_1| ~ u_5 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f12,axiom,(
% 0.14/0.56 ( p_2| ~ u_6 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f13,axiom,(
% 0.14/0.56 ( u_7| p_2| ~ q_3| ~ q_4 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f14,axiom,(
% 0.14/0.56 ( p_2| ~ u_7 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f15,axiom,(
% 0.14/0.56 ( u_8| p_3| ~ p_4| ~ p_5 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f16,axiom,(
% 0.14/0.56 ( p_3| ~ u_8 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f17,axiom,(
% 0.14/0.56 ( u_9| p_3| ~ q_4| ~ q_5 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f18,axiom,(
% 0.14/0.56 ( p_3| ~ u_9 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f20,axiom,(
% 0.14/0.56 ( p_4| ~ u_10 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f21,axiom,(
% 0.14/0.56 ( u_11| p_4| ~ q_5| ~ q_6 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f22,axiom,(
% 0.14/0.56 ( p_4| ~ u_11 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f24,axiom,(
% 0.14/0.56 ( p_5| ~ u_12 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f25,axiom,(
% 0.14/0.56 ( u_13| p_5| ~ q_6| ~ q_7 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f26,axiom,(
% 0.14/0.56 ( p_5| ~ u_13 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f27,axiom,(
% 0.14/0.56 ( u_14| p_6| ~ p_7| ~ p_8 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f28,axiom,(
% 0.14/0.56 ( p_6| ~ u_14 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f29,axiom,(
% 0.14/0.56 ( u_15| p_6| ~ q_7| ~ q_8 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f30,axiom,(
% 0.14/0.56 ( p_6| ~ u_15 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f31,axiom,(
% 0.14/0.56 ( u_16| p_7| ~ p_8| ~ p_9 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f32,axiom,(
% 0.14/0.56 ( p_7| ~ u_16 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f33,axiom,(
% 0.14/0.56 ( u_17| p_7| ~ q_8| ~ q_9 ) ),
% 0.14/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f34,axiom,(
% 0.14/0.57 ( p_7| ~ u_17 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f35,axiom,(
% 0.14/0.57 ( u_18| q_0| ~ p_1| ~ q_2 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f36,axiom,(
% 0.14/0.57 ( q_0| ~ u_18 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f37,axiom,(
% 0.14/0.57 ( u_19| q_0| ~ q_1| ~ p_2 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f38,axiom,(
% 0.14/0.57 ( q_0| ~ u_19 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f40,axiom,(
% 0.14/0.57 ( q_1| ~ u_20 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f41,axiom,(
% 0.14/0.57 ( u_21| q_1| ~ q_2| ~ p_3 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f42,axiom,(
% 0.14/0.57 ( q_1| ~ u_21 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f43,axiom,(
% 0.14/0.57 ( u_22| q_2| ~ p_3| ~ q_4 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f44,axiom,(
% 0.14/0.57 ( q_2| ~ u_22 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f45,axiom,(
% 0.14/0.57 ( u_23| q_2| ~ q_3| ~ p_4 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f46,axiom,(
% 0.14/0.57 ( q_2| ~ u_23 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f47,axiom,(
% 0.14/0.57 ( u_24| q_3| ~ p_4| ~ q_5 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f48,axiom,(
% 0.14/0.57 ( q_3| ~ u_24 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f49,axiom,(
% 0.14/0.57 ( u_25| q_3| ~ q_4| ~ p_5 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f50,axiom,(
% 0.14/0.57 ( q_3| ~ u_25 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f51,axiom,(
% 0.14/0.57 ( u_26| q_4| ~ p_5| ~ q_6 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f52,axiom,(
% 0.14/0.57 ( q_4| ~ u_26 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f53,axiom,(
% 0.14/0.57 ( u_27| q_4| ~ q_5| ~ p_6 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f54,axiom,(
% 0.14/0.57 ( q_4| ~ u_27 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f56,axiom,(
% 0.14/0.57 ( q_5| ~ u_28 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f57,axiom,(
% 0.14/0.57 ( u_29| q_5| ~ q_6| ~ p_7 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f58,axiom,(
% 0.14/0.57 ( q_5| ~ u_29 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f59,axiom,(
% 0.14/0.57 ( u_30| q_6| ~ p_7| ~ q_8 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f60,axiom,(
% 0.14/0.57 ( q_6| ~ u_30 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f61,axiom,(
% 0.14/0.57 ( u_31| q_6| ~ q_7| ~ p_8 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f62,axiom,(
% 0.14/0.57 ( q_6| ~ u_31 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f63,axiom,(
% 0.14/0.57 ( u_32| q_7| ~ p_8| ~ q_9 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f64,axiom,(
% 0.14/0.57 ( q_7| ~ u_32 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f65,axiom,(
% 0.14/0.57 ( u_33| q_7| ~ q_8| ~ p_9 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f66,axiom,(
% 0.14/0.57 ( q_7| ~ u_33 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f67,axiom,(
% 0.14/0.57 ( u_34| p_9| ~ p_4 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f68,axiom,(
% 0.14/0.57 ( p_9| ~ u_34 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f71,axiom,(
% 0.14/0.57 ( u_36| q_9| ~ q_4 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f72,axiom,(
% 0.14/0.57 ( q_9| ~ u_36 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f75,axiom,(
% 0.14/0.57 ( u_38| p_8 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f76,axiom,(
% 0.14/0.57 ( p_8| ~ u_38 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f77,axiom,(
% 0.14/0.57 ( u_39| p_9 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f78,axiom,(
% 0.14/0.57 ( p_9| ~ u_39 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f79,axiom,(
% 0.14/0.57 ( u_40| q_8 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f80,axiom,(
% 0.14/0.57 ( q_8| ~ u_40 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f81,axiom,(
% 0.14/0.57 ( u_41| q_9 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f82,axiom,(
% 0.14/0.57 ( q_9| ~ u_41 ) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f83,plain,(
% 0.14/0.57 u_1|~p_0|~q_0),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.57 fof(f84,plain,(
% 0.14/0.57 ~u_1),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.57 fof(f86,plain,(
% 0.14/0.57 p_0|~u_2),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.57 fof(f87,plain,(
% 0.14/0.57 u_3|p_0|~q_1|~q_2),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.57 fof(f88,plain,(
% 0.14/0.57 p_0|~u_3),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.57 fof(f90,plain,(
% 0.14/0.57 p_1|~u_4),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.57 fof(f91,plain,(
% 0.14/0.57 u_5|p_1|~q_2|~q_3),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.57 fof(f92,plain,(
% 0.14/0.57 p_1|~u_5),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.57 fof(f94,plain,(
% 0.14/0.57 p_2|~u_6),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.57 fof(f95,plain,(
% 0.14/0.57 u_7|p_2|~q_3|~q_4),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.57 fof(f96,plain,(
% 0.14/0.57 p_2|~u_7),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.57 fof(f97,plain,(
% 0.14/0.57 u_8|p_3|~p_4|~p_5),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.57 fof(f98,plain,(
% 0.14/0.57 p_3|~u_8),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.57 fof(f99,plain,(
% 0.14/0.57 u_9|p_3|~q_4|~q_5),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.57 fof(f100,plain,(
% 0.14/0.57 p_3|~u_9),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.57 fof(f102,plain,(
% 0.14/0.57 p_4|~u_10),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.57 fof(f103,plain,(
% 0.14/0.57 u_11|p_4|~q_5|~q_6),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.57 fof(f104,plain,(
% 0.14/0.57 p_4|~u_11),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.57 fof(f106,plain,(
% 0.14/0.57 p_5|~u_12),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.57 fof(f107,plain,(
% 0.14/0.57 u_13|p_5|~q_6|~q_7),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.57 fof(f108,plain,(
% 0.14/0.57 p_5|~u_13),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.57 fof(f109,plain,(
% 0.14/0.57 u_14|p_6|~p_7|~p_8),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.57 fof(f110,plain,(
% 0.14/0.57 p_6|~u_14),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.57 fof(f111,plain,(
% 0.14/0.57 u_15|p_6|~q_7|~q_8),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.57 fof(f112,plain,(
% 0.14/0.57 p_6|~u_15),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.57 fof(f113,plain,(
% 0.14/0.57 u_16|p_7|~p_8|~p_9),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.57 fof(f114,plain,(
% 0.14/0.57 p_7|~u_16),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.57 fof(f115,plain,(
% 0.14/0.57 u_17|p_7|~q_8|~q_9),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.57 fof(f116,plain,(
% 0.14/0.57 p_7|~u_17),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.57 fof(f117,plain,(
% 0.14/0.57 u_18|q_0|~p_1|~q_2),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f35])).
% 0.14/0.57 fof(f118,plain,(
% 0.14/0.57 q_0|~u_18),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/0.57 fof(f119,plain,(
% 0.14/0.57 u_19|q_0|~q_1|~p_2),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.57 fof(f120,plain,(
% 0.14/0.57 q_0|~u_19),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.57 fof(f122,plain,(
% 0.14/0.57 q_1|~u_20),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/0.57 fof(f123,plain,(
% 0.14/0.57 u_21|q_1|~q_2|~p_3),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f41])).
% 0.14/0.57 fof(f124,plain,(
% 0.14/0.57 q_1|~u_21),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f42])).
% 0.14/0.57 fof(f125,plain,(
% 0.14/0.57 u_22|q_2|~p_3|~q_4),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f43])).
% 0.14/0.57 fof(f126,plain,(
% 0.14/0.57 q_2|~u_22),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f44])).
% 0.14/0.57 fof(f127,plain,(
% 0.14/0.57 u_23|q_2|~q_3|~p_4),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f45])).
% 0.14/0.57 fof(f128,plain,(
% 0.14/0.57 q_2|~u_23),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f46])).
% 0.14/0.57 fof(f129,plain,(
% 0.14/0.57 u_24|q_3|~p_4|~q_5),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/0.57 fof(f130,plain,(
% 0.14/0.57 q_3|~u_24),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f48])).
% 0.14/0.57 fof(f131,plain,(
% 0.14/0.57 u_25|q_3|~q_4|~p_5),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/0.57 fof(f132,plain,(
% 0.14/0.57 q_3|~u_25),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f50])).
% 0.14/0.57 fof(f133,plain,(
% 0.14/0.57 u_26|q_4|~p_5|~q_6),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f51])).
% 0.14/0.57 fof(f134,plain,(
% 0.14/0.57 q_4|~u_26),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f52])).
% 0.14/0.57 fof(f135,plain,(
% 0.14/0.57 u_27|q_4|~q_5|~p_6),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f53])).
% 0.14/0.57 fof(f136,plain,(
% 0.14/0.57 q_4|~u_27),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f54])).
% 0.14/0.57 fof(f138,plain,(
% 0.14/0.57 q_5|~u_28),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f56])).
% 0.14/0.57 fof(f139,plain,(
% 0.14/0.57 u_29|q_5|~q_6|~p_7),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f57])).
% 0.14/0.57 fof(f140,plain,(
% 0.14/0.57 q_5|~u_29),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f58])).
% 0.14/0.57 fof(f141,plain,(
% 0.14/0.57 u_30|q_6|~p_7|~q_8),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f59])).
% 0.14/0.57 fof(f142,plain,(
% 0.14/0.57 q_6|~u_30),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f60])).
% 0.14/0.57 fof(f143,plain,(
% 0.14/0.57 u_31|q_6|~q_7|~p_8),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f61])).
% 0.14/0.57 fof(f144,plain,(
% 0.14/0.57 q_6|~u_31),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f62])).
% 0.14/0.57 fof(f145,plain,(
% 0.14/0.57 u_32|q_7|~p_8|~q_9),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f63])).
% 0.14/0.57 fof(f146,plain,(
% 0.14/0.57 q_7|~u_32),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f64])).
% 0.14/0.57 fof(f147,plain,(
% 0.14/0.57 u_33|q_7|~q_8|~p_9),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.57 fof(f148,plain,(
% 0.14/0.57 q_7|~u_33),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f66])).
% 0.14/0.57 fof(f149,plain,(
% 0.14/0.57 u_34|p_9|~p_4),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f67])).
% 0.14/0.57 fof(f150,plain,(
% 0.14/0.57 p_9|~u_34),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.57 fof(f153,plain,(
% 0.14/0.57 u_36|q_9|~q_4),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f71])).
% 0.14/0.57 fof(f154,plain,(
% 0.14/0.57 q_9|~u_36),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f72])).
% 0.14/0.57 fof(f157,plain,(
% 0.14/0.57 u_38|p_8),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f75])).
% 0.14/0.57 fof(f158,plain,(
% 0.14/0.57 p_8|~u_38),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f76])).
% 0.14/0.57 fof(f159,plain,(
% 0.14/0.57 u_39|p_9),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f77])).
% 0.14/0.57 fof(f160,plain,(
% 0.14/0.57 p_9|~u_39),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f78])).
% 0.14/0.57 fof(f161,plain,(
% 0.14/0.57 u_40|q_8),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f79])).
% 0.14/0.57 fof(f162,plain,(
% 0.14/0.57 q_8|~u_40),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f80])).
% 0.14/0.57 fof(f163,plain,(
% 0.14/0.57 u_41|q_9),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f81])).
% 0.14/0.57 fof(f164,plain,(
% 0.14/0.57 q_9|~u_41),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f82])).
% 0.14/0.57 fof(f165,definition,(
% 0.14/0.57 sQ0_spl <=> (u_1)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f166,plain,(
% 0.14/0.57 u_1|~sQ0_spl),
% 0.14/0.57 inference(component_clause,[status(thm)],[f165])).
% 0.14/0.57 fof(f168,definition,(
% 0.14/0.57 sQ1_spl <=> (p_0)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f171,definition,(
% 0.14/0.57 sQ2_spl <=> (q_0)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f174,plain,(
% 0.14/0.57 sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f83,f165,f168,f171])).
% 0.14/0.57 fof(f175,definition,(
% 0.14/0.57 sQ3_spl <=> (u_2)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f178,definition,(
% 0.14/0.57 sQ4_spl <=> (p_1)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f181,definition,(
% 0.14/0.57 sQ5_spl <=> (p_2)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f185,plain,(
% 0.14/0.57 sQ1_spl|~sQ3_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f86,f168,f175])).
% 0.14/0.57 fof(f186,definition,(
% 0.14/0.57 sQ6_spl <=> (u_3)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f189,definition,(
% 0.14/0.57 sQ7_spl <=> (q_1)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f192,definition,(
% 0.14/0.57 sQ8_spl <=> (q_2)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f195,plain,(
% 0.14/0.57 sQ6_spl|sQ1_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f87,f186,f168,f189,f192])).
% 0.14/0.57 fof(f196,plain,(
% 0.14/0.57 sQ1_spl|~sQ6_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f88,f168,f186])).
% 0.14/0.57 fof(f197,definition,(
% 0.14/0.57 sQ9_spl <=> (u_4)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f200,definition,(
% 0.14/0.57 sQ10_spl <=> (p_3)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f204,plain,(
% 0.14/0.57 sQ4_spl|~sQ9_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f90,f178,f197])).
% 0.14/0.57 fof(f205,definition,(
% 0.14/0.57 sQ11_spl <=> (u_5)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f208,definition,(
% 0.14/0.57 sQ12_spl <=> (q_3)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f211,plain,(
% 0.14/0.57 sQ11_spl|sQ4_spl|~sQ8_spl|~sQ12_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f91,f205,f178,f192,f208])).
% 0.14/0.57 fof(f212,plain,(
% 0.14/0.57 sQ4_spl|~sQ11_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f92,f178,f205])).
% 0.14/0.57 fof(f213,definition,(
% 0.14/0.57 sQ13_spl <=> (u_6)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f216,definition,(
% 0.14/0.57 sQ14_spl <=> (p_4)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f220,plain,(
% 0.14/0.57 sQ5_spl|~sQ13_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f94,f181,f213])).
% 0.14/0.57 fof(f221,definition,(
% 0.14/0.57 sQ15_spl <=> (u_7)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f224,definition,(
% 0.14/0.57 sQ16_spl <=> (q_4)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f227,plain,(
% 0.14/0.57 sQ15_spl|sQ5_spl|~sQ12_spl|~sQ16_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f95,f221,f181,f208,f224])).
% 0.14/0.57 fof(f228,plain,(
% 0.14/0.57 sQ5_spl|~sQ15_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f96,f181,f221])).
% 0.14/0.57 fof(f229,definition,(
% 0.14/0.57 sQ17_spl <=> (u_8)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f232,definition,(
% 0.14/0.57 sQ18_spl <=> (p_5)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f235,plain,(
% 0.14/0.57 sQ17_spl|sQ10_spl|~sQ14_spl|~sQ18_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f97,f229,f200,f216,f232])).
% 0.14/0.57 fof(f236,plain,(
% 0.14/0.57 sQ10_spl|~sQ17_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f98,f200,f229])).
% 0.14/0.57 fof(f237,definition,(
% 0.14/0.57 sQ19_spl <=> (u_9)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f240,definition,(
% 0.14/0.57 sQ20_spl <=> (q_5)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f243,plain,(
% 0.14/0.57 sQ19_spl|sQ10_spl|~sQ16_spl|~sQ20_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f99,f237,f200,f224,f240])).
% 0.14/0.57 fof(f244,plain,(
% 0.14/0.57 sQ10_spl|~sQ19_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f100,f200,f237])).
% 0.14/0.57 fof(f245,definition,(
% 0.14/0.57 sQ21_spl <=> (u_10)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f248,definition,(
% 0.14/0.57 sQ22_spl <=> (p_6)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f252,plain,(
% 0.14/0.57 sQ14_spl|~sQ21_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f102,f216,f245])).
% 0.14/0.57 fof(f253,definition,(
% 0.14/0.57 sQ23_spl <=> (u_11)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f256,definition,(
% 0.14/0.57 sQ24_spl <=> (q_6)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f259,plain,(
% 0.14/0.57 sQ23_spl|sQ14_spl|~sQ20_spl|~sQ24_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f103,f253,f216,f240,f256])).
% 0.14/0.57 fof(f260,plain,(
% 0.14/0.57 sQ14_spl|~sQ23_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f104,f216,f253])).
% 0.14/0.57 fof(f261,definition,(
% 0.14/0.57 sQ25_spl <=> (u_12)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f264,definition,(
% 0.14/0.57 sQ26_spl <=> (p_7)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f268,plain,(
% 0.14/0.57 sQ18_spl|~sQ25_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f106,f232,f261])).
% 0.14/0.57 fof(f269,definition,(
% 0.14/0.57 sQ27_spl <=> (u_13)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f272,definition,(
% 0.14/0.57 sQ28_spl <=> (q_7)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f275,plain,(
% 0.14/0.57 sQ27_spl|sQ18_spl|~sQ24_spl|~sQ28_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f107,f269,f232,f256,f272])).
% 0.14/0.57 fof(f276,plain,(
% 0.14/0.57 sQ18_spl|~sQ27_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f108,f232,f269])).
% 0.14/0.57 fof(f277,definition,(
% 0.14/0.57 sQ29_spl <=> (u_14)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f280,definition,(
% 0.14/0.57 sQ30_spl <=> (p_8)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f283,plain,(
% 0.14/0.57 sQ29_spl|sQ22_spl|~sQ26_spl|~sQ30_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f109,f277,f248,f264,f280])).
% 0.14/0.57 fof(f284,plain,(
% 0.14/0.57 sQ22_spl|~sQ29_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f110,f248,f277])).
% 0.14/0.57 fof(f285,definition,(
% 0.14/0.57 sQ31_spl <=> (u_15)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f288,definition,(
% 0.14/0.57 sQ32_spl <=> (q_8)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f291,plain,(
% 0.14/0.57 sQ31_spl|sQ22_spl|~sQ28_spl|~sQ32_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f111,f285,f248,f272,f288])).
% 0.14/0.57 fof(f292,plain,(
% 0.14/0.57 sQ22_spl|~sQ31_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f112,f248,f285])).
% 0.14/0.57 fof(f293,definition,(
% 0.14/0.57 sQ33_spl <=> (u_16)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f296,definition,(
% 0.14/0.57 sQ34_spl <=> (p_9)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f299,plain,(
% 0.14/0.57 sQ33_spl|sQ26_spl|~sQ30_spl|~sQ34_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f113,f293,f264,f280,f296])).
% 0.14/0.57 fof(f300,plain,(
% 0.14/0.57 sQ26_spl|~sQ33_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f114,f264,f293])).
% 0.14/0.57 fof(f301,definition,(
% 0.14/0.57 sQ35_spl <=> (u_17)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f304,definition,(
% 0.14/0.57 sQ36_spl <=> (q_9)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f307,plain,(
% 0.14/0.57 sQ35_spl|sQ26_spl|~sQ32_spl|~sQ36_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f115,f301,f264,f288,f304])).
% 0.14/0.57 fof(f308,plain,(
% 0.14/0.57 sQ26_spl|~sQ35_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f116,f264,f301])).
% 0.14/0.57 fof(f309,definition,(
% 0.14/0.57 sQ37_spl <=> (u_18)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f312,plain,(
% 0.14/0.57 sQ37_spl|sQ2_spl|~sQ4_spl|~sQ8_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f117,f309,f171,f178,f192])).
% 0.14/0.57 fof(f313,plain,(
% 0.14/0.57 sQ2_spl|~sQ37_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f118,f171,f309])).
% 0.14/0.57 fof(f314,definition,(
% 0.14/0.57 sQ38_spl <=> (u_19)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f317,plain,(
% 0.14/0.57 sQ38_spl|sQ2_spl|~sQ7_spl|~sQ5_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f119,f314,f171,f189,f181])).
% 0.14/0.57 fof(f318,plain,(
% 0.14/0.57 sQ2_spl|~sQ38_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f120,f171,f314])).
% 0.14/0.57 fof(f319,definition,(
% 0.14/0.57 sQ39_spl <=> (u_20)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f323,plain,(
% 0.14/0.57 sQ7_spl|~sQ39_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f122,f189,f319])).
% 0.14/0.57 fof(f324,definition,(
% 0.14/0.57 sQ40_spl <=> (u_21)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f327,plain,(
% 0.14/0.57 sQ40_spl|sQ7_spl|~sQ8_spl|~sQ10_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f123,f324,f189,f192,f200])).
% 0.14/0.57 fof(f328,plain,(
% 0.14/0.57 sQ7_spl|~sQ40_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f124,f189,f324])).
% 0.14/0.57 fof(f329,definition,(
% 0.14/0.57 sQ41_spl <=> (u_22)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f332,plain,(
% 0.14/0.57 sQ41_spl|sQ8_spl|~sQ10_spl|~sQ16_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f125,f329,f192,f200,f224])).
% 0.14/0.57 fof(f333,plain,(
% 0.14/0.57 sQ8_spl|~sQ41_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f126,f192,f329])).
% 0.14/0.57 fof(f334,definition,(
% 0.14/0.57 sQ42_spl <=> (u_23)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f337,plain,(
% 0.14/0.57 sQ42_spl|sQ8_spl|~sQ12_spl|~sQ14_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f127,f334,f192,f208,f216])).
% 0.14/0.57 fof(f338,plain,(
% 0.14/0.57 sQ8_spl|~sQ42_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f128,f192,f334])).
% 0.14/0.57 fof(f339,definition,(
% 0.14/0.57 sQ43_spl <=> (u_24)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f342,plain,(
% 0.14/0.57 sQ43_spl|sQ12_spl|~sQ14_spl|~sQ20_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f129,f339,f208,f216,f240])).
% 0.14/0.57 fof(f343,plain,(
% 0.14/0.57 sQ12_spl|~sQ43_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f130,f208,f339])).
% 0.14/0.57 fof(f344,definition,(
% 0.14/0.57 sQ44_spl <=> (u_25)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f347,plain,(
% 0.14/0.57 sQ44_spl|sQ12_spl|~sQ16_spl|~sQ18_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f131,f344,f208,f224,f232])).
% 0.14/0.57 fof(f348,plain,(
% 0.14/0.57 sQ12_spl|~sQ44_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f132,f208,f344])).
% 0.14/0.57 fof(f349,definition,(
% 0.14/0.57 sQ45_spl <=> (u_26)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f352,plain,(
% 0.14/0.57 sQ45_spl|sQ16_spl|~sQ18_spl|~sQ24_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f133,f349,f224,f232,f256])).
% 0.14/0.57 fof(f353,plain,(
% 0.14/0.57 sQ16_spl|~sQ45_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f134,f224,f349])).
% 0.14/0.57 fof(f354,definition,(
% 0.14/0.57 sQ46_spl <=> (u_27)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f357,plain,(
% 0.14/0.57 sQ46_spl|sQ16_spl|~sQ20_spl|~sQ22_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f135,f354,f224,f240,f248])).
% 0.14/0.57 fof(f358,plain,(
% 0.14/0.57 sQ16_spl|~sQ46_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f136,f224,f354])).
% 0.14/0.57 fof(f359,definition,(
% 0.14/0.57 sQ47_spl <=> (u_28)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f363,plain,(
% 0.14/0.57 sQ20_spl|~sQ47_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f138,f240,f359])).
% 0.14/0.57 fof(f364,definition,(
% 0.14/0.57 sQ48_spl <=> (u_29)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f367,plain,(
% 0.14/0.57 sQ48_spl|sQ20_spl|~sQ24_spl|~sQ26_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f139,f364,f240,f256,f264])).
% 0.14/0.57 fof(f368,plain,(
% 0.14/0.57 sQ20_spl|~sQ48_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f140,f240,f364])).
% 0.14/0.57 fof(f369,definition,(
% 0.14/0.57 sQ49_spl <=> (u_30)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f372,plain,(
% 0.14/0.57 sQ49_spl|sQ24_spl|~sQ26_spl|~sQ32_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f141,f369,f256,f264,f288])).
% 0.14/0.57 fof(f373,plain,(
% 0.14/0.57 sQ24_spl|~sQ49_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f142,f256,f369])).
% 0.14/0.57 fof(f374,definition,(
% 0.14/0.57 sQ50_spl <=> (u_31)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f377,plain,(
% 0.14/0.57 sQ50_spl|sQ24_spl|~sQ28_spl|~sQ30_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f143,f374,f256,f272,f280])).
% 0.14/0.57 fof(f378,plain,(
% 0.14/0.57 sQ24_spl|~sQ50_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f144,f256,f374])).
% 0.14/0.57 fof(f379,definition,(
% 0.14/0.57 sQ51_spl <=> (u_32)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f382,plain,(
% 0.14/0.57 sQ51_spl|sQ28_spl|~sQ30_spl|~sQ36_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f145,f379,f272,f280,f304])).
% 0.14/0.57 fof(f383,plain,(
% 0.14/0.57 sQ28_spl|~sQ51_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f146,f272,f379])).
% 0.14/0.57 fof(f384,definition,(
% 0.14/0.57 sQ52_spl <=> (u_33)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f387,plain,(
% 0.14/0.57 sQ52_spl|sQ28_spl|~sQ32_spl|~sQ34_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f147,f384,f272,f288,f296])).
% 0.14/0.57 fof(f388,plain,(
% 0.14/0.57 sQ28_spl|~sQ52_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f148,f272,f384])).
% 0.14/0.57 fof(f389,definition,(
% 0.14/0.57 sQ53_spl <=> (u_34)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f392,plain,(
% 0.14/0.57 sQ53_spl|sQ34_spl|~sQ14_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f149,f389,f296,f216])).
% 0.14/0.57 fof(f393,plain,(
% 0.14/0.57 sQ34_spl|~sQ53_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f150,f296,f389])).
% 0.14/0.57 fof(f402,definition,(
% 0.14/0.57 sQ56_spl <=> (u_36)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f405,plain,(
% 0.14/0.57 sQ56_spl|sQ36_spl|~sQ16_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f153,f402,f304,f224])).
% 0.14/0.57 fof(f406,plain,(
% 0.14/0.57 sQ36_spl|~sQ56_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f154,f304,f402])).
% 0.14/0.57 fof(f415,definition,(
% 0.14/0.57 sQ59_spl <=> (u_38)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f418,plain,(
% 0.14/0.57 sQ59_spl|sQ30_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f157,f415,f280])).
% 0.14/0.57 fof(f419,plain,(
% 0.14/0.57 sQ30_spl|~sQ59_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f158,f280,f415])).
% 0.14/0.57 fof(f420,definition,(
% 0.14/0.57 sQ60_spl <=> (u_39)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f423,plain,(
% 0.14/0.57 sQ60_spl|sQ34_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f159,f420,f296])).
% 0.14/0.57 fof(f424,plain,(
% 0.14/0.57 sQ34_spl|~sQ60_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f160,f296,f420])).
% 0.14/0.57 fof(f425,definition,(
% 0.14/0.57 sQ61_spl <=> (u_40)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f428,plain,(
% 0.14/0.57 sQ61_spl|sQ32_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f161,f425,f288])).
% 0.14/0.57 fof(f429,plain,(
% 0.14/0.57 sQ32_spl|~sQ61_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f162,f288,f425])).
% 0.14/0.57 fof(f430,definition,(
% 0.14/0.57 sQ62_spl <=> (u_41)),
% 0.14/0.57 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.14/0.57 fof(f433,plain,(
% 0.14/0.57 sQ62_spl|sQ36_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f163,f430,f304])).
% 0.14/0.57 fof(f434,plain,(
% 0.14/0.57 sQ36_spl|~sQ62_spl),
% 0.14/0.57 inference(split_clause,[status(thm)],[f164,f304,f430])).
% 0.14/0.57 fof(f435,plain,(
% 0.14/0.57 $false|~sQ0_spl),
% 0.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f166,f84])).
% 0.14/0.57 fof(f436,plain,(
% 0.14/0.57 ~sQ0_spl),
% 0.14/0.57 inference(contradiction_clause,[status(thm)],[f435])).
% 0.14/0.57 fof(f437,plain,(
% 0.14/0.57 $false),
% 0.14/0.57 inference(sat_refutation,[status(thm)],[f174,f185,f195,f196,f204,f211,f212,f220,f227,f228,f235,f236,f243,f244,f252,f259,f260,f268,f275,f276,f283,f284,f291,f292,f299,f300,f307,f308,f312,f313,f317,f318,f323,f327,f328,f332,f333,f337,f338,f342,f343,f347,f348,f352,f353,f357,f358,f363,f367,f368,f372,f373,f377,f378,f382,f383,f387,f388,f392,f393,f405,f406,f418,f419,f423,f424,f428,f429,f433,f434,f436])).
% 0.14/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.59 % Elapsed time: 0.037796 seconds
% 0.14/0.59 % CPU time: 0.095015 seconds
% 0.14/0.59 % Total memory used: 14.092 MB
% 0.14/0.59 % Net memory used: 14.087 MB
%------------------------------------------------------------------------------