%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HWV003-3 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 12:46:38 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HWV003-3 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 % Computer : n019.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Sun Sep 20 20:47:37 UTC 2026
% 0.19/0.43 % CPUTime :
% 0.19/0.44 % Drodi V4.1.1
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.45 fof(f1,negated_conjecture,(
% 0.19/0.45 ( a11| a ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f2,negated_conjecture,(
% 0.19/0.45 ( a11| b ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f3,negated_conjecture,(
% 0.19/0.45 ( ~ a11| ~ a| ~ b ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f4,negated_conjecture,(
% 0.19/0.45 ( a12| a ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f5,negated_conjecture,(
% 0.19/0.45 ( a12| a11 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f6,negated_conjecture,(
% 0.19/0.45 ( ~ a12| ~ a| ~ a11 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f7,negated_conjecture,(
% 0.19/0.45 ( a13| b ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f8,negated_conjecture,(
% 0.19/0.45 ( a13| a11 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f9,negated_conjecture,(
% 0.19/0.45 ( ~ a13| ~ b| ~ a11 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f10,negated_conjecture,(
% 0.19/0.45 ( a14| a12 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f11,negated_conjecture,(
% 0.19/0.45 ( a14| a13 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f12,negated_conjecture,(
% 0.19/0.45 ( ~ a14| ~ a12| ~ a13 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f13,negated_conjecture,(
% 0.19/0.45 ( a15| a14 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f14,negated_conjecture,(
% 0.19/0.45 ( a15| cI ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f15,negated_conjecture,(
% 0.19/0.45 ( ~ a15| ~ a14| ~ cI ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f16,negated_conjecture,(
% 0.19/0.45 ( a16| a14 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f17,negated_conjecture,(
% 0.19/0.45 ( a16| a15 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f18,negated_conjecture,(
% 0.19/0.45 ( ~ a16| ~ a14| ~ a15 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f19,negated_conjecture,(
% 0.19/0.45 ( a17| a15 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f20,negated_conjecture,(
% 0.19/0.45 ( a17| cI ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f21,negated_conjecture,(
% 0.19/0.45 ( ~ a17| ~ a15| ~ cI ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f22,negated_conjecture,(
% 0.19/0.45 ( s1| a16 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f23,negated_conjecture,(
% 0.19/0.45 ( s1| a17 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f24,negated_conjecture,(
% 0.19/0.45 ( ~ s1| ~ a16| ~ a17 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f25,negated_conjecture,(
% 0.19/0.45 ( c1| a15 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f26,negated_conjecture,(
% 0.19/0.45 ( c1| a11 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f27,negated_conjecture,(
% 0.19/0.45 ( ~ c1| ~ a15| ~ a11 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f28,negated_conjecture,(
% 0.19/0.45 ( a21| a| ~ b ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f29,negated_conjecture,(
% 0.19/0.45 ( a21| ~ a| b ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f30,negated_conjecture,(
% 0.19/0.45 ( ~ a21| a| b ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f31,negated_conjecture,(
% 0.19/0.45 ( ~ a21| ~ a| ~ b ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f32,negated_conjecture,(
% 0.19/0.45 ( ~ a22| cI ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f33,negated_conjecture,(
% 0.19/0.45 ( ~ a22| a23 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f34,negated_conjecture,(
% 0.19/0.45 ( a22| ~ cI| ~ a23 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f35,negated_conjecture,(
% 0.19/0.45 ( a23| ~ a ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f36,negated_conjecture,(
% 0.19/0.45 ( a23| ~ b ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f37,negated_conjecture,(
% 0.19/0.45 ( ~ a23| a| b ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f38,negated_conjecture,(
% 0.19/0.45 ( a24| cI ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f39,negated_conjecture,(
% 0.19/0.45 ( ~ a24| ~ cI ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f40,negated_conjecture,(
% 0.19/0.45 ( ~ a25| a ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f41,negated_conjecture,(
% 0.19/0.45 ( ~ a25| b ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f42,negated_conjecture,(
% 0.19/0.45 ( a25| ~ a| ~ b ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f43,negated_conjecture,(
% 0.19/0.45 ( ~ a26| a24 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f44,negated_conjecture,(
% 0.19/0.45 ( ~ a26| a25 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f45,negated_conjecture,(
% 0.19/0.45 ( a26| ~ a24| ~ a25 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f46,negated_conjecture,(
% 0.19/0.45 ( s2| cI| ~ a21 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f47,negated_conjecture,(
% 0.19/0.45 ( s2| ~ cI| a21 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f48,negated_conjecture,(
% 0.19/0.45 ( ~ s2| cI| a21 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f49,negated_conjecture,(
% 0.19/0.45 ( ~ s2| ~ cI| ~ a21 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f50,negated_conjecture,(
% 0.19/0.45 ( c2| ~ a22 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f51,negated_conjecture,(
% 0.19/0.45 ( c2| ~ a26 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f52,negated_conjecture,(
% 0.19/0.45 ( ~ c2| a22| a26 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f55,negated_conjecture,(
% 0.19/0.45 ( ~ conjline18| s1| s2 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f56,negated_conjecture,(
% 0.19/0.45 ( ~ conjline18| ~ s1| ~ s2 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f59,negated_conjecture,(
% 0.19/0.45 ( ~ conjline19| c1| c2 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f60,negated_conjecture,(
% 0.19/0.45 ( ~ conjline19| ~ c1| ~ c2 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f61,negated_conjecture,(
% 0.19/0.45 ( conjline18| conjline19 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f62,plain,(
% 0.19/0.45 a11|a),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.19/0.45 fof(f63,plain,(
% 0.19/0.45 a11|b),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f2])).
% 0.19/0.45 fof(f64,plain,(
% 0.19/0.45 ~a11|~a|~b),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.19/0.45 fof(f65,plain,(
% 0.19/0.45 a12|a),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f4])).
% 0.19/0.45 fof(f66,plain,(
% 0.19/0.45 a12|a11),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f5])).
% 0.19/0.45 fof(f67,plain,(
% 0.19/0.45 ~a12|~a|~a11),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f6])).
% 0.19/0.45 fof(f68,plain,(
% 0.19/0.45 a13|b),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f7])).
% 0.19/0.45 fof(f69,plain,(
% 0.19/0.45 a13|a11),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f8])).
% 0.19/0.45 fof(f70,plain,(
% 0.19/0.45 ~a13|~b|~a11),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f9])).
% 0.19/0.45 fof(f71,plain,(
% 0.19/0.45 a14|a12),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f10])).
% 0.19/0.45 fof(f72,plain,(
% 0.19/0.45 a14|a13),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f11])).
% 0.19/0.45 fof(f73,plain,(
% 0.19/0.45 ~a14|~a12|~a13),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f12])).
% 0.19/0.45 fof(f74,plain,(
% 0.19/0.45 a15|a14),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f13])).
% 0.19/0.45 fof(f75,plain,(
% 0.19/0.45 a15|cI),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f14])).
% 0.19/0.45 fof(f76,plain,(
% 0.19/0.45 ~a15|~a14|~cI),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f15])).
% 0.19/0.45 fof(f77,plain,(
% 0.19/0.45 a16|a14),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f16])).
% 0.19/0.45 fof(f78,plain,(
% 0.19/0.45 a16|a15),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f17])).
% 0.19/0.45 fof(f79,plain,(
% 0.19/0.45 ~a16|~a14|~a15),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f18])).
% 0.19/0.45 fof(f80,plain,(
% 0.19/0.45 a17|a15),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f19])).
% 0.19/0.45 fof(f81,plain,(
% 0.19/0.45 a17|cI),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f20])).
% 0.19/0.45 fof(f82,plain,(
% 0.19/0.45 ~a17|~a15|~cI),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f21])).
% 0.19/0.45 fof(f83,plain,(
% 0.19/0.45 s1|a16),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f22])).
% 0.19/0.45 fof(f84,plain,(
% 0.19/0.45 s1|a17),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f23])).
% 0.19/0.45 fof(f85,plain,(
% 0.19/0.45 ~s1|~a16|~a17),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f24])).
% 0.19/0.45 fof(f86,plain,(
% 0.19/0.45 c1|a15),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f25])).
% 0.19/0.45 fof(f87,plain,(
% 0.19/0.45 c1|a11),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f26])).
% 0.19/0.45 fof(f88,plain,(
% 0.19/0.45 ~c1|~a15|~a11),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f27])).
% 0.19/0.45 fof(f89,plain,(
% 0.19/0.45 a21|a|~b),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f28])).
% 0.19/0.45 fof(f90,plain,(
% 0.19/0.45 a21|~a|b),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f29])).
% 0.19/0.45 fof(f91,plain,(
% 0.19/0.45 ~a21|a|b),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f30])).
% 0.19/0.45 fof(f92,plain,(
% 0.19/0.45 ~a21|~a|~b),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f31])).
% 0.19/0.45 fof(f93,plain,(
% 0.19/0.45 ~a22|cI),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f32])).
% 0.19/0.45 fof(f94,plain,(
% 0.19/0.45 ~a22|a23),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f33])).
% 0.19/0.45 fof(f95,plain,(
% 0.19/0.45 a22|~cI|~a23),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f34])).
% 0.19/0.45 fof(f96,plain,(
% 0.19/0.45 a23|~a),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f35])).
% 0.19/0.45 fof(f97,plain,(
% 0.19/0.45 a23|~b),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f36])).
% 0.19/0.45 fof(f98,plain,(
% 0.19/0.45 ~a23|a|b),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f37])).
% 0.19/0.45 fof(f99,plain,(
% 0.19/0.45 a24|cI),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f38])).
% 0.19/0.45 fof(f100,plain,(
% 0.19/0.45 ~a24|~cI),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f39])).
% 0.19/0.45 fof(f101,plain,(
% 0.19/0.45 ~a25|a),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f40])).
% 0.19/0.45 fof(f102,plain,(
% 0.19/0.45 ~a25|b),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f41])).
% 0.19/0.45 fof(f103,plain,(
% 0.19/0.45 a25|~a|~b),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f42])).
% 0.19/0.45 fof(f104,plain,(
% 0.19/0.45 ~a26|a24),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f43])).
% 0.19/0.45 fof(f105,plain,(
% 0.19/0.45 ~a26|a25),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f44])).
% 0.19/0.45 fof(f106,plain,(
% 0.19/0.45 a26|~a24|~a25),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f45])).
% 0.19/0.45 fof(f107,plain,(
% 0.19/0.45 s2|cI|~a21),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f46])).
% 0.19/0.45 fof(f108,plain,(
% 0.19/0.45 s2|~cI|a21),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f47])).
% 0.19/0.45 fof(f109,plain,(
% 0.19/0.45 ~s2|cI|a21),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f48])).
% 0.19/0.45 fof(f110,plain,(
% 0.19/0.45 ~s2|~cI|~a21),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f49])).
% 0.19/0.45 fof(f111,plain,(
% 0.19/0.45 c2|~a22),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f50])).
% 0.19/0.45 fof(f112,plain,(
% 0.19/0.45 c2|~a26),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f51])).
% 0.19/0.45 fof(f113,plain,(
% 0.19/0.45 ~c2|a22|a26),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f52])).
% 0.19/0.45 fof(f116,plain,(
% 0.19/0.45 ~conjline18|s1|s2),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f55])).
% 0.19/0.45 fof(f117,plain,(
% 0.19/0.45 ~conjline18|~s1|~s2),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f56])).
% 0.19/0.45 fof(f120,plain,(
% 0.19/0.45 ~conjline19|c1|c2),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f59])).
% 0.19/0.45 fof(f121,plain,(
% 0.19/0.45 ~conjline19|~c1|~c2),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f60])).
% 0.19/0.45 fof(f122,plain,(
% 0.19/0.45 conjline18|conjline19),
% 0.19/0.45 inference(cnf_transformation,[status(thm)],[f61])).
% 0.19/0.45 fof(f123,definition,(
% 0.19/0.45 sQ0_spl <=> (a11)),
% 0.19/0.45 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.19/0.45 fof(f126,definition,(
% 0.19/0.45 sQ1_spl <=> (a)),
% 0.19/0.45 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.19/0.45 fof(f129,plain,(
% 0.19/0.45 sQ0_spl|sQ1_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f62,f123,f126])).
% 0.19/0.45 fof(f130,definition,(
% 0.19/0.45 sQ2_spl <=> (b)),
% 0.19/0.45 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.19/0.45 fof(f133,plain,(
% 0.19/0.45 sQ0_spl|sQ2_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f63,f123,f130])).
% 0.19/0.45 fof(f134,plain,(
% 0.19/0.45 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f64,f123,f126,f130])).
% 0.19/0.45 fof(f135,definition,(
% 0.19/0.45 sQ3_spl <=> (a12)),
% 0.19/0.45 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.19/0.45 fof(f138,plain,(
% 0.19/0.45 sQ3_spl|sQ1_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f65,f135,f126])).
% 0.19/0.45 fof(f139,plain,(
% 0.19/0.45 sQ3_spl|sQ0_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f66,f135,f123])).
% 0.19/0.45 fof(f140,plain,(
% 0.19/0.45 ~sQ3_spl|~sQ1_spl|~sQ0_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f67,f135,f126,f123])).
% 0.19/0.45 fof(f141,definition,(
% 0.19/0.45 sQ4_spl <=> (a13)),
% 0.19/0.45 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.19/0.45 fof(f144,plain,(
% 0.19/0.45 sQ4_spl|sQ2_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f68,f141,f130])).
% 0.19/0.45 fof(f145,plain,(
% 0.19/0.45 sQ4_spl|sQ0_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f69,f141,f123])).
% 0.19/0.45 fof(f146,plain,(
% 0.19/0.45 ~sQ4_spl|~sQ2_spl|~sQ0_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f70,f141,f130,f123])).
% 0.19/0.45 fof(f147,definition,(
% 0.19/0.45 sQ5_spl <=> (a14)),
% 0.19/0.45 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.19/0.45 fof(f150,plain,(
% 0.19/0.45 sQ5_spl|sQ3_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f71,f147,f135])).
% 0.19/0.45 fof(f151,plain,(
% 0.19/0.45 sQ5_spl|sQ4_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f72,f147,f141])).
% 0.19/0.45 fof(f152,plain,(
% 0.19/0.45 ~sQ5_spl|~sQ3_spl|~sQ4_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f73,f147,f135,f141])).
% 0.19/0.45 fof(f153,definition,(
% 0.19/0.45 sQ6_spl <=> (a15)),
% 0.19/0.45 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.19/0.45 fof(f156,plain,(
% 0.19/0.45 sQ6_spl|sQ5_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f74,f153,f147])).
% 0.19/0.45 fof(f157,definition,(
% 0.19/0.45 sQ7_spl <=> (cI)),
% 0.19/0.45 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.19/0.45 fof(f160,plain,(
% 0.19/0.45 sQ6_spl|sQ7_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f75,f153,f157])).
% 0.19/0.45 fof(f161,plain,(
% 0.19/0.45 ~sQ6_spl|~sQ5_spl|~sQ7_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f76,f153,f147,f157])).
% 0.19/0.45 fof(f162,definition,(
% 0.19/0.45 sQ8_spl <=> (a16)),
% 0.19/0.45 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.19/0.45 fof(f165,plain,(
% 0.19/0.45 sQ8_spl|sQ5_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f77,f162,f147])).
% 0.19/0.45 fof(f166,plain,(
% 0.19/0.45 sQ8_spl|sQ6_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f78,f162,f153])).
% 0.19/0.45 fof(f167,plain,(
% 0.19/0.45 ~sQ8_spl|~sQ5_spl|~sQ6_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f79,f162,f147,f153])).
% 0.19/0.45 fof(f168,definition,(
% 0.19/0.45 sQ9_spl <=> (a17)),
% 0.19/0.45 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.19/0.45 fof(f171,plain,(
% 0.19/0.45 sQ9_spl|sQ6_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f80,f168,f153])).
% 0.19/0.45 fof(f172,plain,(
% 0.19/0.45 sQ9_spl|sQ7_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f81,f168,f157])).
% 0.19/0.45 fof(f173,plain,(
% 0.19/0.45 ~sQ9_spl|~sQ6_spl|~sQ7_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f82,f168,f153,f157])).
% 0.19/0.45 fof(f174,definition,(
% 0.19/0.45 sQ10_spl <=> (s1)),
% 0.19/0.45 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.19/0.45 fof(f177,plain,(
% 0.19/0.45 sQ10_spl|sQ8_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f83,f174,f162])).
% 0.19/0.45 fof(f178,plain,(
% 0.19/0.45 sQ10_spl|sQ9_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f84,f174,f168])).
% 0.19/0.45 fof(f179,plain,(
% 0.19/0.45 ~sQ10_spl|~sQ8_spl|~sQ9_spl),
% 0.19/0.45 inference(split_clause,[status(thm)],[f85,f174,f162,f168])).
% 0.19/0.45 fof(f180,definition,(
% 0.19/0.45 sQ11_spl <=> (c1)),
% 0.19/0.45 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.19/0.46 fof(f183,plain,(
% 0.19/0.46 sQ11_spl|sQ6_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f86,f180,f153])).
% 0.19/0.46 fof(f184,plain,(
% 0.19/0.46 sQ11_spl|sQ0_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f87,f180,f123])).
% 0.19/0.46 fof(f185,plain,(
% 0.19/0.46 ~sQ11_spl|~sQ6_spl|~sQ0_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f88,f180,f153,f123])).
% 0.19/0.46 fof(f186,definition,(
% 0.19/0.46 sQ12_spl <=> (a21)),
% 0.19/0.46 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.19/0.46 fof(f189,plain,(
% 0.19/0.46 sQ12_spl|sQ1_spl|~sQ2_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f89,f186,f126,f130])).
% 0.19/0.46 fof(f190,plain,(
% 0.19/0.46 sQ12_spl|~sQ1_spl|sQ2_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f90,f186,f126,f130])).
% 0.19/0.46 fof(f191,plain,(
% 0.19/0.46 ~sQ12_spl|sQ1_spl|sQ2_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f91,f186,f126,f130])).
% 0.19/0.46 fof(f192,plain,(
% 0.19/0.46 ~sQ12_spl|~sQ1_spl|~sQ2_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f92,f186,f126,f130])).
% 0.19/0.46 fof(f193,definition,(
% 0.19/0.46 sQ13_spl <=> (a22)),
% 0.19/0.46 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.19/0.46 fof(f196,plain,(
% 0.19/0.46 ~sQ13_spl|sQ7_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f93,f193,f157])).
% 0.19/0.46 fof(f197,definition,(
% 0.19/0.46 sQ14_spl <=> (a23)),
% 0.19/0.46 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.19/0.46 fof(f200,plain,(
% 0.19/0.46 ~sQ13_spl|sQ14_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f94,f193,f197])).
% 0.19/0.46 fof(f201,plain,(
% 0.19/0.46 sQ13_spl|~sQ7_spl|~sQ14_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f95,f193,f157,f197])).
% 0.19/0.46 fof(f202,plain,(
% 0.19/0.46 sQ14_spl|~sQ1_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f96,f197,f126])).
% 0.19/0.46 fof(f203,plain,(
% 0.19/0.46 sQ14_spl|~sQ2_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f97,f197,f130])).
% 0.19/0.46 fof(f204,plain,(
% 0.19/0.46 ~sQ14_spl|sQ1_spl|sQ2_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f98,f197,f126,f130])).
% 0.19/0.46 fof(f205,definition,(
% 0.19/0.46 sQ15_spl <=> (a24)),
% 0.19/0.46 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.19/0.46 fof(f208,plain,(
% 0.19/0.46 sQ15_spl|sQ7_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f99,f205,f157])).
% 0.19/0.46 fof(f209,plain,(
% 0.19/0.46 ~sQ15_spl|~sQ7_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f100,f205,f157])).
% 0.19/0.46 fof(f210,definition,(
% 0.19/0.46 sQ16_spl <=> (a25)),
% 0.19/0.46 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.19/0.46 fof(f213,plain,(
% 0.19/0.46 ~sQ16_spl|sQ1_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f101,f210,f126])).
% 0.19/0.46 fof(f214,plain,(
% 0.19/0.46 ~sQ16_spl|sQ2_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f102,f210,f130])).
% 0.19/0.46 fof(f215,plain,(
% 0.19/0.46 sQ16_spl|~sQ1_spl|~sQ2_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f103,f210,f126,f130])).
% 0.19/0.46 fof(f216,definition,(
% 0.19/0.46 sQ17_spl <=> (a26)),
% 0.19/0.46 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.19/0.46 fof(f219,plain,(
% 0.19/0.46 ~sQ17_spl|sQ15_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f104,f216,f205])).
% 0.19/0.46 fof(f220,plain,(
% 0.19/0.46 ~sQ17_spl|sQ16_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f105,f216,f210])).
% 0.19/0.46 fof(f221,plain,(
% 0.19/0.46 sQ17_spl|~sQ15_spl|~sQ16_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f106,f216,f205,f210])).
% 0.19/0.46 fof(f222,definition,(
% 0.19/0.46 sQ18_spl <=> (s2)),
% 0.19/0.46 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.19/0.46 fof(f225,plain,(
% 0.19/0.46 sQ18_spl|sQ7_spl|~sQ12_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f107,f222,f157,f186])).
% 0.19/0.46 fof(f226,plain,(
% 0.19/0.46 sQ18_spl|~sQ7_spl|sQ12_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f108,f222,f157,f186])).
% 0.19/0.46 fof(f227,plain,(
% 0.19/0.46 ~sQ18_spl|sQ7_spl|sQ12_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f109,f222,f157,f186])).
% 0.19/0.46 fof(f228,plain,(
% 0.19/0.46 ~sQ18_spl|~sQ7_spl|~sQ12_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f110,f222,f157,f186])).
% 0.19/0.46 fof(f229,definition,(
% 0.19/0.46 sQ19_spl <=> (c2)),
% 0.19/0.46 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.19/0.46 fof(f232,plain,(
% 0.19/0.46 sQ19_spl|~sQ13_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f111,f229,f193])).
% 0.19/0.46 fof(f233,plain,(
% 0.19/0.46 sQ19_spl|~sQ17_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f112,f229,f216])).
% 0.19/0.46 fof(f234,plain,(
% 0.19/0.46 ~sQ19_spl|sQ13_spl|sQ17_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f113,f229,f193,f216])).
% 0.19/0.46 fof(f235,definition,(
% 0.19/0.46 sQ20_spl <=> (conjline18)),
% 0.19/0.46 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.19/0.46 fof(f240,plain,(
% 0.19/0.46 ~sQ20_spl|sQ10_spl|sQ18_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f116,f235,f174,f222])).
% 0.19/0.46 fof(f241,plain,(
% 0.19/0.46 ~sQ20_spl|~sQ10_spl|~sQ18_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f117,f235,f174,f222])).
% 0.19/0.46 fof(f242,definition,(
% 0.19/0.46 sQ21_spl <=> (conjline19)),
% 0.19/0.46 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.19/0.46 fof(f247,plain,(
% 0.19/0.46 ~sQ21_spl|sQ11_spl|sQ19_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f120,f242,f180,f229])).
% 0.19/0.46 fof(f248,plain,(
% 0.19/0.46 ~sQ21_spl|~sQ11_spl|~sQ19_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f121,f242,f180,f229])).
% 0.19/0.46 fof(f249,plain,(
% 0.19/0.46 sQ20_spl|sQ21_spl),
% 0.19/0.46 inference(split_clause,[status(thm)],[f122,f235,f242])).
% 0.19/0.46 fof(f250,plain,(
% 0.19/0.46 $false),
% 0.19/0.46 inference(sat_refutation,[status(thm)],[f129,f133,f134,f138,f139,f140,f144,f145,f146,f150,f151,f152,f156,f160,f161,f165,f166,f167,f171,f172,f173,f177,f178,f179,f183,f184,f185,f189,f190,f191,f192,f196,f200,f201,f202,f203,f204,f208,f209,f213,f214,f215,f219,f220,f221,f225,f226,f227,f228,f232,f233,f234,f240,f241,f247,f248,f249])).
% 0.19/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.48 % Elapsed time: 0.045315 seconds
% 0.19/0.48 % CPU time: 0.084776 seconds
% 0.19/0.48 % Total memory used: 6.024 MB
% 0.19/0.48 % Net memory used: 6.023 MB
%------------------------------------------------------------------------------