TSTP Solution File: LCL093-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL093-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:47:21 EDT 2023
% Result : Unsatisfiable 25.85s 14.85s
% Output : CNFRefutation 26.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 8
% Syntax : Number of formulae : 265 ( 157 unt; 5 typ; 0 def)
% Number of atoms : 394 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 301 ( 167 ~; 134 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 849 (; 849 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > implies > #nlpp > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(b,type,
b: $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_34,axiom,
! [P,R,S,Q,T] : is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P))))),
file(unknown,unknown) ).
tff(f_32,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_36,axiom,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file(unknown,unknown) ).
tff(c_4,plain,
! [S_5,T_7,P_3,R_4,Q_6] : is_a_theorem(implies(implies(implies(P_3,Q_6),implies(R_4,S_5)),implies(implies(S_5,P_3),implies(T_7,implies(R_4,P_3))))),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_8,plain,
! [P_14,Q_13,S_11,T_10,R_12] : is_a_theorem(implies(implies(implies(P_14,Q_13),implies(R_12,S_11)),implies(implies(S_11,P_14),implies(T_10,implies(R_12,P_14))))),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( is_a_theorem(Y_2)
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(implies(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_13,plain,
! [R_18,T_16,P_19,Q_15,S_17] :
( is_a_theorem(implies(implies(S_17,P_19),implies(T_16,implies(R_18,P_19))))
| ~ is_a_theorem(implies(implies(P_19,Q_15),implies(R_18,S_17))) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_16,plain,
! [S_5,T_7,T_16,P_3,R_4,Q_6] : is_a_theorem(implies(implies(implies(T_7,implies(R_4,P_3)),implies(P_3,Q_6)),implies(T_16,implies(implies(S_5,P_3),implies(P_3,Q_6))))),
inference(resolution,[status(thm)],[c_4,c_13]) ).
tff(c_17,plain,
! [T_20,P_25,Q_24,S_21,T_22,R_23] : is_a_theorem(implies(implies(implies(T_20,implies(R_23,P_25)),implies(P_25,Q_24)),implies(T_22,implies(implies(S_21,P_25),implies(P_25,Q_24))))),
inference(resolution,[status(thm)],[c_4,c_13]) ).
tff(c_25,plain,
! [R_26,T_31,T_28,P_29,S_27,Q_30] :
( is_a_theorem(implies(T_31,implies(implies(S_27,P_29),implies(P_29,Q_30))))
| ~ is_a_theorem(implies(implies(T_28,implies(R_26,P_29)),implies(P_29,Q_30))) ),
inference(resolution,[status(thm)],[c_17,c_2]) ).
tff(c_30,plain,
! [T_35,S_33,P_36,T_34,S_32] : is_a_theorem(implies(T_35,implies(implies(S_32,T_34),implies(T_34,implies(implies(S_33,P_36),implies(P_36,T_34)))))),
inference(resolution,[status(thm)],[c_16,c_25]) ).
tff(c_42,plain,
! [T_35,S_33,P_36,T_34,S_32] :
( is_a_theorem(implies(implies(S_32,T_34),implies(T_34,implies(implies(S_33,P_36),implies(P_36,T_34)))))
| ~ is_a_theorem(T_35) ),
inference(resolution,[status(thm)],[c_30,c_2]) ).
tff(c_43,plain,
! [T_35] : ~ is_a_theorem(T_35),
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_29,plain,
! [S_5,T_31,T_16,S_27,P_3] : is_a_theorem(implies(T_31,implies(implies(S_27,T_16),implies(T_16,implies(implies(S_5,P_3),implies(P_3,T_16)))))),
inference(resolution,[status(thm)],[c_16,c_25]) ).
tff(c_50,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43,c_29]) ).
tff(c_52,plain,
! [S_37,T_38,S_39,P_40] : is_a_theorem(implies(implies(S_37,T_38),implies(T_38,implies(implies(S_39,P_40),implies(P_40,T_38))))),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_12,plain,
! [P_14,Q_13,S_11,T_10,R_12] :
( is_a_theorem(implies(implies(S_11,P_14),implies(T_10,implies(R_12,P_14))))
| ~ is_a_theorem(implies(implies(P_14,Q_13),implies(R_12,S_11))) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_73,plain,
! [S_45,T_49,S_47,P_48,T_46] : is_a_theorem(implies(implies(implies(implies(S_47,P_48),implies(P_48,T_49)),S_45),implies(T_46,implies(T_49,S_45)))),
inference(resolution,[status(thm)],[c_52,c_12]) ).
tff(c_24,plain,
! [T_20,P_25,Q_24,S_21,T_22,R_23] :
( is_a_theorem(implies(T_22,implies(implies(S_21,P_25),implies(P_25,Q_24))))
| ~ is_a_theorem(implies(implies(T_20,implies(R_23,P_25)),implies(P_25,Q_24))) ),
inference(resolution,[status(thm)],[c_17,c_2]) ).
tff(c_89,plain,
! [S_51,T_53,T_52,T_54,R_50] : is_a_theorem(implies(T_54,implies(implies(S_51,T_52),implies(T_52,implies(T_53,implies(R_50,T_52)))))),
inference(resolution,[status(thm)],[c_73,c_24]) ).
tff(c_104,plain,
! [S_51,T_53,T_52,T_54,R_50] :
( is_a_theorem(implies(implies(S_51,T_52),implies(T_52,implies(T_53,implies(R_50,T_52)))))
| ~ is_a_theorem(T_54) ),
inference(resolution,[status(thm)],[c_89,c_2]) ).
tff(c_105,plain,
! [T_54] : ~ is_a_theorem(T_54),
inference(splitLeft,[status(thm)],[c_104]) ).
tff(c_85,plain,
! [T_49,S_21,T_22,R_23,T_46] : is_a_theorem(implies(T_22,implies(implies(S_21,T_46),implies(T_46,implies(T_49,implies(R_23,T_46)))))),
inference(resolution,[status(thm)],[c_73,c_24]) ).
tff(c_115,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105,c_85]) ).
tff(c_134,plain,
! [S_62,T_63,T_64,R_65] : is_a_theorem(implies(implies(S_62,T_63),implies(T_63,implies(T_64,implies(R_65,T_63))))),
inference(splitRight,[status(thm)],[c_104]) ).
tff(c_143,plain,
! [S_62,R_65,T_63,T_10,T_64] : is_a_theorem(implies(implies(implies(T_64,implies(R_65,T_63)),S_62),implies(T_10,implies(T_63,S_62)))),
inference(resolution,[status(thm)],[c_134,c_12]) ).
tff(c_117,plain,
! [S_56,T_58,P_59,R_55,Q_60,T_61,T_57] : is_a_theorem(implies(implies(implies(implies(S_56,P_59),implies(P_59,Q_60)),implies(T_58,implies(R_55,P_59))),implies(T_57,implies(T_61,implies(T_58,implies(R_55,P_59)))))),
inference(resolution,[status(thm)],[c_17,c_12]) ).
tff(c_417,plain,
! [Q_113,T_112,P_114,T_116,T_111,R_117,S_110,T_115] : is_a_theorem(implies(implies(implies(T_115,implies(T_116,implies(R_117,P_114))),implies(implies(S_110,P_114),implies(P_114,Q_113))),implies(T_112,implies(T_111,implies(implies(S_110,P_114),implies(P_114,Q_113)))))),
inference(resolution,[status(thm)],[c_117,c_12]) ).
tff(c_1387,plain,
! [T_232,P_227,S_231,Q_229,T_225,T_233,T_228,T_230,R_226] : is_a_theorem(implies(implies(implies(T_230,implies(implies(S_231,P_227),implies(P_227,Q_229))),implies(T_228,implies(T_233,implies(R_226,P_227)))),implies(T_225,implies(T_232,implies(T_228,implies(T_233,implies(R_226,P_227))))))),
inference(resolution,[status(thm)],[c_417,c_12]) ).
tff(c_3740,plain,
! [P_417,T_416,T_411,T_418,R_410,T_415,T_414,S_413,Q_412] :
( is_a_theorem(implies(T_411,implies(T_414,implies(T_416,implies(T_418,implies(R_410,P_417))))))
| ~ is_a_theorem(implies(implies(T_415,implies(implies(S_413,P_417),implies(P_417,Q_412))),implies(T_416,implies(T_418,implies(R_410,P_417))))) ),
inference(resolution,[status(thm)],[c_1387,c_2]) ).
tff(c_4693,plain,
! [T_464,T_466,P_467,T_465,S_463,Q_462] : is_a_theorem(implies(T_466,implies(T_465,implies(implies(implies(P_467,Q_462),P_467),implies(T_464,implies(implies(S_463,P_467),P_467)))))),
inference(resolution,[status(thm)],[c_4,c_3740]) ).
tff(c_4782,plain,
! [T_464,T_466,P_467,T_465,S_463,Q_462] :
( is_a_theorem(implies(T_465,implies(implies(implies(P_467,Q_462),P_467),implies(T_464,implies(implies(S_463,P_467),P_467)))))
| ~ is_a_theorem(T_466) ),
inference(resolution,[status(thm)],[c_4693,c_2]) ).
tff(c_4845,plain,
! [T_466] : ~ is_a_theorem(T_466),
inference(splitLeft,[status(thm)],[c_4782]) ).
tff(c_1023,plain,
! [Q_197,R_194,T_196,S_199,T_200,T_201,T_198,P_195] :
( is_a_theorem(implies(T_200,implies(T_198,implies(implies(S_199,P_195),implies(P_195,Q_197)))))
| ~ is_a_theorem(implies(implies(T_196,implies(T_201,implies(R_194,P_195))),implies(implies(S_199,P_195),implies(P_195,Q_197)))) ),
inference(resolution,[status(thm)],[c_417,c_2]) ).
tff(c_1157,plain,
! [T_207,R_210,R_211,T_208,T_209] : is_a_theorem(implies(T_208,implies(T_209,implies(implies(implies(R_211,T_207),T_207),implies(T_207,implies(R_210,T_207)))))),
inference(resolution,[status(thm)],[c_4,c_1023]) ).
tff(c_1195,plain,
! [T_207,R_210,R_211,T_208,T_209] :
( is_a_theorem(implies(T_209,implies(implies(implies(R_211,T_207),T_207),implies(T_207,implies(R_210,T_207)))))
| ~ is_a_theorem(T_208) ),
inference(resolution,[status(thm)],[c_1157,c_2]) ).
tff(c_1196,plain,
! [T_208] : ~ is_a_theorem(T_208),
inference(splitLeft,[status(thm)],[c_1195]) ).
tff(c_1121,plain,
! [R_194,T_200,T_198,T_7,R_4] : is_a_theorem(implies(T_200,implies(T_198,implies(implies(implies(R_194,T_7),T_7),implies(T_7,implies(R_4,T_7)))))),
inference(resolution,[status(thm)],[c_4,c_1023]) ).
tff(c_1273,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1196,c_1121]) ).
tff(c_1275,plain,
! [T_218,R_219,T_220,R_221] : is_a_theorem(implies(T_218,implies(implies(implies(R_219,T_220),T_220),implies(T_220,implies(R_221,T_220))))),
inference(splitRight,[status(thm)],[c_1195]) ).
tff(c_1319,plain,
! [P_14,R_221,R_219,T_10,T_220] : is_a_theorem(implies(implies(implies(T_220,implies(R_221,T_220)),P_14),implies(T_10,implies(implies(implies(R_219,T_220),T_220),P_14)))),
inference(resolution,[status(thm)],[c_1275,c_12]) ).
tff(c_4924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4845,c_1319]) ).
tff(c_4926,plain,
! [S_476,P_475,T_477,T_474,Q_473] : is_a_theorem(implies(T_477,implies(implies(implies(P_475,Q_473),P_475),implies(T_474,implies(implies(S_476,P_475),P_475))))),
inference(splitRight,[status(thm)],[c_4782]) ).
tff(c_5030,plain,
! [S_476,P_475,T_477,T_474,Q_473] :
( is_a_theorem(implies(implies(implies(P_475,Q_473),P_475),implies(T_474,implies(implies(S_476,P_475),P_475))))
| ~ is_a_theorem(T_477) ),
inference(resolution,[status(thm)],[c_4926,c_2]) ).
tff(c_5031,plain,
! [T_477] : ~ is_a_theorem(T_477),
inference(splitLeft,[status(thm)],[c_5030]) ).
tff(c_4925,plain,
! [T_464,P_467,T_465,S_463,Q_462] : is_a_theorem(implies(T_465,implies(implies(implies(P_467,Q_462),P_467),implies(T_464,implies(implies(S_463,P_467),P_467))))),
inference(splitRight,[status(thm)],[c_4782]) ).
tff(c_5111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5031,c_4925]) ).
tff(c_5113,plain,
! [P_478,Q_479,T_480,S_481] : is_a_theorem(implies(implies(implies(P_478,Q_479),P_478),implies(T_480,implies(implies(S_481,P_478),P_478)))),
inference(splitRight,[status(thm)],[c_5030]) ).
tff(c_5166,plain,
! [T_482,S_483,P_484,Q_485] :
( is_a_theorem(implies(T_482,implies(implies(S_483,P_484),P_484)))
| ~ is_a_theorem(implies(implies(P_484,Q_485),P_484)) ),
inference(resolution,[status(thm)],[c_5113,c_2]) ).
tff(c_5348,plain,
! [T_486,S_487,T_488,S_489] : is_a_theorem(implies(T_486,implies(implies(S_487,implies(T_488,implies(S_489,S_489))),implies(T_488,implies(S_489,S_489))))),
inference(resolution,[status(thm)],[c_143,c_5166]) ).
tff(c_5437,plain,
! [S_487,T_488,S_489,T_486] :
( is_a_theorem(implies(implies(S_487,implies(T_488,implies(S_489,S_489))),implies(T_488,implies(S_489,S_489))))
| ~ is_a_theorem(T_486) ),
inference(resolution,[status(thm)],[c_5348,c_2]) ).
tff(c_5438,plain,
! [T_486] : ~ is_a_theorem(T_486),
inference(splitLeft,[status(thm)],[c_5437]) ).
tff(c_5342,plain,
! [T_482,S_483,T_10,S_62] : is_a_theorem(implies(T_482,implies(implies(S_483,implies(T_10,implies(S_62,S_62))),implies(T_10,implies(S_62,S_62))))),
inference(resolution,[status(thm)],[c_143,c_5166]) ).
tff(c_5736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5438,c_5342]) ).
tff(c_5738,plain,
! [S_495,T_496,S_497] : is_a_theorem(implies(implies(S_495,implies(T_496,implies(S_497,S_497))),implies(T_496,implies(S_497,S_497)))),
inference(splitRight,[status(thm)],[c_5437]) ).
tff(c_165,plain,
! [S_73,T_74,R_70,T_71,T_72] : is_a_theorem(implies(implies(implies(T_71,implies(R_70,T_74)),S_73),implies(T_72,implies(T_74,S_73)))),
inference(resolution,[status(thm)],[c_134,c_12]) ).
tff(c_181,plain,
! [T_75,R_78,S_77,T_76,T_79] :
( is_a_theorem(implies(T_79,implies(T_75,S_77)))
| ~ is_a_theorem(implies(implies(T_76,implies(R_78,T_75)),S_77)) ),
inference(resolution,[status(thm)],[c_165,c_2]) ).
tff(c_203,plain,
! [T_84,T_81,T_83,T_80,R_82] : is_a_theorem(implies(T_84,implies(T_81,implies(T_80,implies(T_83,implies(R_82,T_81)))))),
inference(resolution,[status(thm)],[c_143,c_181]) ).
tff(c_1946,plain,
! [T_285,P_287,T_284,T_286,R_283,T_282] : is_a_theorem(implies(implies(implies(T_286,implies(T_282,implies(R_283,T_285))),P_287),implies(T_284,implies(T_285,P_287)))),
inference(resolution,[status(thm)],[c_203,c_12]) ).
tff(c_1985,plain,
! [T_285,P_287,T_284,T_286,R_283,T_282] :
( is_a_theorem(implies(T_284,implies(T_285,P_287)))
| ~ is_a_theorem(implies(implies(T_286,implies(T_282,implies(R_283,T_285))),P_287)) ),
inference(resolution,[status(thm)],[c_1946,c_2]) ).
tff(c_5901,plain,
! [T_501,S_502,T_503] : is_a_theorem(implies(T_501,implies(S_502,implies(T_503,implies(S_502,S_502))))),
inference(resolution,[status(thm)],[c_5738,c_1985]) ).
tff(c_5997,plain,
! [S_502,T_503,T_501] :
( is_a_theorem(implies(S_502,implies(T_503,implies(S_502,S_502))))
| ~ is_a_theorem(T_501) ),
inference(resolution,[status(thm)],[c_5901,c_2]) ).
tff(c_6402,plain,
! [T_501] : ~ is_a_theorem(T_501),
inference(splitLeft,[status(thm)],[c_5997]) ).
tff(c_132,plain,
! [S_56,T_58,P_59,R_55,Q_60,T_61,T_57] :
( is_a_theorem(implies(T_57,implies(T_61,implies(T_58,implies(R_55,P_59)))))
| ~ is_a_theorem(implies(implies(implies(S_56,P_59),implies(P_59,Q_60)),implies(T_58,implies(R_55,P_59)))) ),
inference(resolution,[status(thm)],[c_117,c_2]) ).
tff(c_5807,plain,
! [T_498,T_499,S_500] : is_a_theorem(implies(T_498,implies(T_499,implies(S_500,implies(S_500,S_500))))),
inference(resolution,[status(thm)],[c_5738,c_132]) ).
tff(c_5900,plain,
! [T_499,S_500,T_498] :
( is_a_theorem(implies(T_499,implies(S_500,implies(S_500,S_500))))
| ~ is_a_theorem(T_498) ),
inference(resolution,[status(thm)],[c_5807,c_2]) ).
tff(c_5998,plain,
! [T_498] : ~ is_a_theorem(T_498),
inference(splitLeft,[status(thm)],[c_5900]) ).
tff(c_1194,plain,
! [T_207,P_14,R_210,R_211,T_10,T_209] : is_a_theorem(implies(implies(implies(implies(implies(R_211,T_207),T_207),implies(T_207,implies(R_210,T_207))),P_14),implies(T_10,implies(T_209,P_14)))),
inference(resolution,[status(thm)],[c_1157,c_12]) ).
tff(c_6152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5998,c_1194]) ).
tff(c_6154,plain,
! [T_510,S_511] : is_a_theorem(implies(T_510,implies(S_511,implies(S_511,S_511)))),
inference(splitRight,[status(thm)],[c_5900]) ).
tff(c_6258,plain,
! [S_511,T_510] :
( is_a_theorem(implies(S_511,implies(S_511,S_511)))
| ~ is_a_theorem(T_510) ),
inference(resolution,[status(thm)],[c_6154,c_2]) ).
tff(c_6259,plain,
! [T_510] : ~ is_a_theorem(T_510),
inference(splitLeft,[status(thm)],[c_6258]) ).
tff(c_6153,plain,
! [T_499,S_500] : is_a_theorem(implies(T_499,implies(S_500,implies(S_500,S_500)))),
inference(splitRight,[status(thm)],[c_5900]) ).
tff(c_6347,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6259,c_6153]) ).
tff(c_6348,plain,
! [S_511] : is_a_theorem(implies(S_511,implies(S_511,S_511))),
inference(splitRight,[status(thm)],[c_6258]) ).
tff(c_6490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6402,c_6348]) ).
tff(c_6491,plain,
! [S_502,T_503] : is_a_theorem(implies(S_502,implies(T_503,implies(S_502,S_502)))),
inference(splitRight,[status(thm)],[c_5997]) ).
tff(c_180,plain,
! [S_73,T_74,R_70,T_71,T_72] :
( is_a_theorem(implies(T_72,implies(T_74,S_73)))
| ~ is_a_theorem(implies(implies(T_71,implies(R_70,T_74)),S_73)) ),
inference(resolution,[status(thm)],[c_165,c_2]) ).
tff(c_6618,plain,
! [T_521,S_522,T_523] : is_a_theorem(implies(T_521,implies(implies(S_522,S_522),implies(T_523,implies(S_522,S_522))))),
inference(resolution,[status(thm)],[c_5738,c_180]) ).
tff(c_6711,plain,
! [S_522,T_523,T_521] :
( is_a_theorem(implies(implies(S_522,S_522),implies(T_523,implies(S_522,S_522))))
| ~ is_a_theorem(T_521) ),
inference(resolution,[status(thm)],[c_6618,c_2]) ).
tff(c_6871,plain,
! [T_521] : ~ is_a_theorem(T_521),
inference(splitLeft,[status(thm)],[c_6711]) ).
tff(c_5805,plain,
! [S_497,S_495,T_10,T_496] : is_a_theorem(implies(implies(implies(S_497,S_497),S_495),implies(T_10,implies(T_496,S_495)))),
inference(resolution,[status(thm)],[c_5738,c_12]) ).
tff(c_6964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6871,c_5805]) ).
tff(c_6966,plain,
! [S_532,T_533] : is_a_theorem(implies(implies(S_532,S_532),implies(T_533,implies(S_532,S_532)))),
inference(splitRight,[status(thm)],[c_6711]) ).
tff(c_222,plain,
! [T_84,T_81,T_83,T_80,R_82] :
( is_a_theorem(implies(T_81,implies(T_80,implies(T_83,implies(R_82,T_81)))))
| ~ is_a_theorem(T_84) ),
inference(resolution,[status(thm)],[c_203,c_2]) ).
tff(c_223,plain,
! [T_84] : ~ is_a_theorem(T_84),
inference(splitLeft,[status(thm)],[c_222]) ).
tff(c_197,plain,
! [T_75,R_78,T_63,T_79,T_10] : is_a_theorem(implies(T_79,implies(T_75,implies(T_10,implies(T_63,implies(R_78,T_75)))))),
inference(resolution,[status(thm)],[c_143,c_181]) ).
tff(c_236,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_223,c_197]) ).
tff(c_238,plain,
! [T_85,T_86,T_87,R_88] : is_a_theorem(implies(T_85,implies(T_86,implies(T_87,implies(R_88,T_85))))),
inference(splitRight,[status(thm)],[c_222]) ).
tff(c_258,plain,
! [T_89,T_90,R_91,T_92] :
( is_a_theorem(implies(T_89,implies(T_90,implies(R_91,T_92))))
| ~ is_a_theorem(T_92) ),
inference(resolution,[status(thm)],[c_238,c_2]) ).
tff(c_281,plain,
! [T_90,R_91,T_92,T_89] :
( is_a_theorem(implies(T_90,implies(R_91,T_92)))
| ~ is_a_theorem(T_89)
| ~ is_a_theorem(T_92) ),
inference(resolution,[status(thm)],[c_258,c_2]) ).
tff(c_295,plain,
! [T_89] : ~ is_a_theorem(T_89),
inference(splitLeft,[status(thm)],[c_281]) ).
tff(c_237,plain,
! [T_81,T_80,T_83,R_82] : is_a_theorem(implies(T_81,implies(T_80,implies(T_83,implies(R_82,T_81))))),
inference(splitRight,[status(thm)],[c_222]) ).
tff(c_311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_295,c_237]) ).
tff(c_337,plain,
! [T_105,R_106,T_107] :
( is_a_theorem(implies(T_105,implies(R_106,T_107)))
| ~ is_a_theorem(T_107) ),
inference(splitRight,[status(thm)],[c_281]) ).
tff(c_364,plain,
! [R_106,T_107,T_105] :
( is_a_theorem(implies(R_106,T_107))
| ~ is_a_theorem(T_105)
| ~ is_a_theorem(T_107) ),
inference(resolution,[status(thm)],[c_337,c_2]) ).
tff(c_365,plain,
! [T_105] : ~ is_a_theorem(T_105),
inference(splitLeft,[status(thm)],[c_364]) ).
tff(c_202,plain,
! [S_5,T_7,T_79,P_3,R_4] : is_a_theorem(implies(T_79,implies(S_5,implies(implies(S_5,P_3),implies(T_7,implies(R_4,P_3)))))),
inference(resolution,[status(thm)],[c_4,c_181]) ).
tff(c_383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_365,c_202]) ).
tff(c_385,plain,
! [R_108,T_109] :
( is_a_theorem(implies(R_108,T_109))
| ~ is_a_theorem(T_109) ),
inference(splitRight,[status(thm)],[c_364]) ).
tff(c_792,plain,
! [S_169,P_170,T_171,R_172] :
( is_a_theorem(implies(implies(S_169,P_170),implies(T_171,implies(R_172,P_170))))
| ~ is_a_theorem(implies(R_172,S_169)) ),
inference(resolution,[status(thm)],[c_385,c_12]) ).
tff(c_3685,plain,
! [T_405,P_407,T_409,R_408,S_406] :
( is_a_theorem(implies(implies(implies(R_408,P_407),S_406),implies(T_405,implies(T_409,S_406))))
| ~ is_a_theorem(implies(R_408,S_406)) ),
inference(resolution,[status(thm)],[c_792,c_12]) ).
tff(c_3739,plain,
! [T_405,P_407,T_409,R_408,S_406] :
( is_a_theorem(implies(T_405,implies(T_409,S_406)))
| ~ is_a_theorem(implies(implies(R_408,P_407),S_406))
| ~ is_a_theorem(implies(R_408,S_406)) ),
inference(resolution,[status(thm)],[c_3685,c_2]) ).
tff(c_6970,plain,
! [T_405,T_409,T_533,S_532] :
( is_a_theorem(implies(T_405,implies(T_409,implies(T_533,implies(S_532,S_532)))))
| ~ is_a_theorem(implies(S_532,implies(T_533,implies(S_532,S_532)))) ),
inference(resolution,[status(thm)],[c_6966,c_3739]) ).
tff(c_7026,plain,
! [T_534,T_535,T_536,S_537] : is_a_theorem(implies(T_534,implies(T_535,implies(T_536,implies(S_537,S_537))))),
inference(demodulation,[status(thm),theory(equality)],[c_6491,c_6970]) ).
tff(c_7119,plain,
! [T_535,T_536,S_537,T_534] :
( is_a_theorem(implies(T_535,implies(T_536,implies(S_537,S_537))))
| ~ is_a_theorem(T_534) ),
inference(resolution,[status(thm)],[c_7026,c_2]) ).
tff(c_7120,plain,
! [T_534] : ~ is_a_theorem(T_534),
inference(splitLeft,[status(thm)],[c_7119]) ).
tff(c_7003,plain,
! [T_405,T_409,T_533,S_532] : is_a_theorem(implies(T_405,implies(T_409,implies(T_533,implies(S_532,S_532))))),
inference(demodulation,[status(thm),theory(equality)],[c_6491,c_6970]) ).
tff(c_7210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7120,c_7003]) ).
tff(c_7217,plain,
! [T_538,T_539,S_540] : is_a_theorem(implies(T_538,implies(T_539,implies(S_540,S_540)))),
inference(splitRight,[status(thm)],[c_7119]) ).
tff(c_7327,plain,
! [T_539,S_540,T_538] :
( is_a_theorem(implies(T_539,implies(S_540,S_540)))
| ~ is_a_theorem(T_538) ),
inference(resolution,[status(thm)],[c_7217,c_2]) ).
tff(c_7328,plain,
! [T_538] : ~ is_a_theorem(T_538),
inference(splitLeft,[status(thm)],[c_7327]) ).
tff(c_7211,plain,
! [T_535,T_536,S_537] : is_a_theorem(implies(T_535,implies(T_536,implies(S_537,S_537)))),
inference(splitRight,[status(thm)],[c_7119]) ).
tff(c_7415,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7328,c_7211]) ).
tff(c_7659,plain,
! [T_545,S_546] : is_a_theorem(implies(T_545,implies(S_546,S_546))),
inference(splitRight,[status(thm)],[c_7327]) ).
tff(c_7774,plain,
! [S_546,T_545] :
( is_a_theorem(implies(S_546,S_546))
| ~ is_a_theorem(T_545) ),
inference(resolution,[status(thm)],[c_7659,c_2]) ).
tff(c_7775,plain,
! [T_545] : ~ is_a_theorem(T_545),
inference(splitLeft,[status(thm)],[c_7774]) ).
tff(c_7416,plain,
! [T_539,S_540] : is_a_theorem(implies(T_539,implies(S_540,S_540))),
inference(splitRight,[status(thm)],[c_7327]) ).
tff(c_7863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7775,c_7416]) ).
tff(c_7865,plain,
! [S_547] : is_a_theorem(implies(S_547,S_547)),
inference(splitRight,[status(thm)],[c_7774]) ).
tff(c_1320,plain,
! [R_219,T_220,R_221,T_218] :
( is_a_theorem(implies(implies(implies(R_219,T_220),T_220),implies(T_220,implies(R_221,T_220))))
| ~ is_a_theorem(T_218) ),
inference(resolution,[status(thm)],[c_1275,c_2]) ).
tff(c_1321,plain,
! [T_218] : ~ is_a_theorem(T_218),
inference(splitLeft,[status(thm)],[c_1320]) ).
tff(c_1274,plain,
! [T_209,R_211,T_207,R_210] : is_a_theorem(implies(T_209,implies(implies(implies(R_211,T_207),T_207),implies(T_207,implies(R_210,T_207))))),
inference(splitRight,[status(thm)],[c_1195]) ).
tff(c_1359,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1321,c_1274]) ).
tff(c_1361,plain,
! [R_222,T_223,R_224] : is_a_theorem(implies(implies(implies(R_222,T_223),T_223),implies(T_223,implies(R_224,T_223)))),
inference(splitRight,[status(thm)],[c_1320]) ).
tff(c_1478,plain,
! [R_237,T_238,R_239,T_240] : is_a_theorem(implies(implies(implies(R_237,T_238),implies(R_239,T_238)),implies(T_240,implies(T_238,implies(R_239,T_238))))),
inference(resolution,[status(thm)],[c_1361,c_12]) ).
tff(c_1507,plain,
! [T_240,T_238,R_239,R_237] :
( is_a_theorem(implies(T_240,implies(T_238,implies(R_239,T_238))))
| ~ is_a_theorem(implies(implies(R_237,T_238),implies(R_239,T_238))) ),
inference(resolution,[status(thm)],[c_1478,c_2]) ).
tff(c_7947,plain,
! [T_548,T_549,R_550] : is_a_theorem(implies(T_548,implies(T_549,implies(R_550,T_549)))),
inference(resolution,[status(thm)],[c_7865,c_1507]) ).
tff(c_10048,plain,
! [R_633,T_634,P_635,T_636] : is_a_theorem(implies(implies(implies(R_633,T_634),P_635),implies(T_636,implies(T_634,P_635)))),
inference(resolution,[status(thm)],[c_7947,c_12]) ).
tff(c_10129,plain,
! [T_637,T_638,P_639,R_640] :
( is_a_theorem(implies(T_637,implies(T_638,P_639)))
| ~ is_a_theorem(implies(implies(R_640,T_638),P_639)) ),
inference(resolution,[status(thm)],[c_10048,c_2]) ).
tff(c_10422,plain,
! [S_5,T_637,T_7,P_3,R_4] : is_a_theorem(implies(T_637,implies(implies(R_4,S_5),implies(implies(S_5,P_3),implies(T_7,implies(R_4,P_3)))))),
inference(resolution,[status(thm)],[c_4,c_10129]) ).
tff(c_8040,plain,
! [T_549,R_550,T_548] :
( is_a_theorem(implies(T_549,implies(R_550,T_549)))
| ~ is_a_theorem(T_548) ),
inference(resolution,[status(thm)],[c_7947,c_2]) ).
tff(c_8108,plain,
! [T_548] : ~ is_a_theorem(T_548),
inference(splitLeft,[status(thm)],[c_8040]) ).
tff(c_144,plain,
! [T_63,T_64,R_65,S_62] :
( is_a_theorem(implies(T_63,implies(T_64,implies(R_65,T_63))))
| ~ is_a_theorem(implies(S_62,T_63)) ),
inference(resolution,[status(thm)],[c_134,c_2]) ).
tff(c_7940,plain,
! [S_547,T_64,R_65] : is_a_theorem(implies(S_547,implies(T_64,implies(R_65,S_547)))),
inference(resolution,[status(thm)],[c_7865,c_144]) ).
tff(c_8195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8108,c_7940]) ).
tff(c_8199,plain,
! [T_554,R_555] : is_a_theorem(implies(T_554,implies(R_555,T_554))),
inference(splitRight,[status(thm)],[c_8040]) ).
tff(c_8262,plain,
! [P_14,Q_13,T_10,R_555] : is_a_theorem(implies(implies(implies(P_14,Q_13),P_14),implies(T_10,implies(R_555,P_14)))),
inference(resolution,[status(thm)],[c_8199,c_12]) ).
tff(c_14497,plain,
! [T_773,T_774,R_775,P_776] :
( is_a_theorem(implies(T_773,implies(T_774,implies(R_775,P_776))))
| ~ is_a_theorem(implies(R_775,implies(R_775,P_776))) ),
inference(resolution,[status(thm)],[c_7865,c_3739]) ).
tff(c_14729,plain,
! [T_774,P_14,T_773,Q_13,R_555] : is_a_theorem(implies(T_773,implies(T_774,implies(implies(implies(P_14,Q_13),P_14),implies(R_555,P_14))))),
inference(resolution,[status(thm)],[c_8262,c_14497]) ).
tff(c_313,plain,
! [S_101,R_102,P_104,T_100,T_103] : is_a_theorem(implies(T_103,implies(S_101,implies(implies(S_101,P_104),implies(T_100,implies(R_102,P_104)))))),
inference(resolution,[status(thm)],[c_4,c_181]) ).
tff(c_336,plain,
! [S_101,R_102,P_104,T_100,T_103] :
( is_a_theorem(implies(S_101,implies(implies(S_101,P_104),implies(T_100,implies(R_102,P_104)))))
| ~ is_a_theorem(T_103) ),
inference(resolution,[status(thm)],[c_313,c_2]) ).
tff(c_469,plain,
! [T_103] : ~ is_a_theorem(T_103),
inference(splitLeft,[status(thm)],[c_336]) ).
tff(c_131,plain,
! [S_56,T_58,P_59,R_55,Q_60,T_61,T_57,T_10] : is_a_theorem(implies(implies(implies(T_61,implies(T_58,implies(R_55,P_59))),implies(implies(S_56,P_59),implies(P_59,Q_60))),implies(T_10,implies(T_57,implies(implies(S_56,P_59),implies(P_59,Q_60)))))),
inference(resolution,[status(thm)],[c_117,c_12]) ).
tff(c_490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_469,c_131]) ).
tff(c_492,plain,
! [S_123,P_124,T_125,R_126] : is_a_theorem(implies(S_123,implies(implies(S_123,P_124),implies(T_125,implies(R_126,P_124))))),
inference(splitRight,[status(thm)],[c_336]) ).
tff(c_511,plain,
! [S_123,P_124,T_125,R_126] :
( is_a_theorem(implies(implies(S_123,P_124),implies(T_125,implies(R_126,P_124))))
| ~ is_a_theorem(S_123) ),
inference(resolution,[status(thm)],[c_492,c_2]) ).
tff(c_14897,plain,
! [T_792,P_791,S_790,T_788,R_789] :
( is_a_theorem(implies(T_788,implies(T_792,implies(implies(S_790,P_791),implies(R_789,P_791)))))
| ~ is_a_theorem(S_790) ),
inference(resolution,[status(thm)],[c_511,c_14497]) ).
tff(c_15017,plain,
! [T_792,P_791,S_790,T_788,R_789] :
( is_a_theorem(implies(T_792,implies(implies(S_790,P_791),implies(R_789,P_791))))
| ~ is_a_theorem(T_788)
| ~ is_a_theorem(S_790) ),
inference(resolution,[status(thm)],[c_14897,c_2]) ).
tff(c_15018,plain,
! [T_788] : ~ is_a_theorem(T_788),
inference(splitLeft,[status(thm)],[c_15017]) ).
tff(c_4635,plain,
! [S_456,T_457,T_461,T_453,R_452,P_460,T_459,T_455,Q_454,T_458] : is_a_theorem(implies(implies(implies(T_457,implies(T_459,implies(T_461,implies(R_452,P_460)))),implies(T_458,implies(implies(S_456,P_460),implies(P_460,Q_454)))),implies(T_455,implies(T_453,implies(T_458,implies(implies(S_456,P_460),implies(P_460,Q_454))))))),
inference(resolution,[status(thm)],[c_1387,c_12]) ).
tff(c_4691,plain,
! [S_456,T_457,T_461,T_453,R_452,P_460,T_459,T_455,Q_454,T_458,T_10] : is_a_theorem(implies(implies(implies(T_453,implies(T_458,implies(implies(S_456,P_460),implies(P_460,Q_454)))),implies(T_457,implies(T_459,implies(T_461,implies(R_452,P_460))))),implies(T_10,implies(T_455,implies(T_457,implies(T_459,implies(T_461,implies(R_452,P_460)))))))),
inference(resolution,[status(thm)],[c_4635,c_12]) ).
tff(c_15129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15018,c_4691]) ).
tff(c_15131,plain,
! [T_793,S_794,P_795,R_796] :
( is_a_theorem(implies(T_793,implies(implies(S_794,P_795),implies(R_796,P_795))))
| ~ is_a_theorem(S_794) ),
inference(splitRight,[status(thm)],[c_15017]) ).
tff(c_15256,plain,
! [S_794,P_795,R_796,T_793] :
( is_a_theorem(implies(implies(S_794,P_795),implies(R_796,P_795)))
| ~ is_a_theorem(T_793)
| ~ is_a_theorem(S_794) ),
inference(resolution,[status(thm)],[c_15131,c_2]) ).
tff(c_15257,plain,
! [T_793] : ~ is_a_theorem(T_793),
inference(splitLeft,[status(thm)],[c_15256]) ).
tff(c_15369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15257,c_4691]) ).
tff(c_15496,plain,
! [S_806,P_807,R_808] :
( is_a_theorem(implies(implies(S_806,P_807),implies(R_808,P_807)))
| ~ is_a_theorem(S_806) ),
inference(splitRight,[status(thm)],[c_15256]) ).
tff(c_7923,plain,
! [T_405,T_409,R_408,P_407] :
( is_a_theorem(implies(T_405,implies(T_409,implies(R_408,P_407))))
| ~ is_a_theorem(implies(R_408,implies(R_408,P_407))) ),
inference(resolution,[status(thm)],[c_7865,c_3739]) ).
tff(c_15895,plain,
! [T_812,T_813,S_814,P_815] :
( is_a_theorem(implies(T_812,implies(T_813,implies(implies(S_814,P_815),P_815))))
| ~ is_a_theorem(S_814) ),
inference(resolution,[status(thm)],[c_15496,c_7923]) ).
tff(c_16010,plain,
! [T_813,S_814,P_815,T_812] :
( is_a_theorem(implies(T_813,implies(implies(S_814,P_815),P_815)))
| ~ is_a_theorem(T_812)
| ~ is_a_theorem(S_814) ),
inference(resolution,[status(thm)],[c_15895,c_2]) ).
tff(c_16011,plain,
! [T_812] : ~ is_a_theorem(T_812),
inference(splitLeft,[status(thm)],[c_16010]) ).
tff(c_41,plain,
! [P_14,S_33,P_36,T_34,S_32,T_10] : is_a_theorem(implies(implies(implies(T_34,implies(implies(S_33,P_36),implies(P_36,T_34))),P_14),implies(T_10,implies(implies(S_32,T_34),P_14)))),
inference(resolution,[status(thm)],[c_30,c_12]) ).
tff(c_582,plain,
! [T_137,P_139,S_138,T_136,P_140,S_135] : is_a_theorem(implies(implies(implies(T_137,implies(implies(S_135,P_140),implies(P_140,T_137))),P_139),implies(T_136,implies(implies(S_138,T_137),P_139)))),
inference(resolution,[status(thm)],[c_30,c_12]) ).
tff(c_1660,plain,
! [T_262,S_263,P_261,P_259,T_260,S_258] :
( is_a_theorem(implies(T_262,implies(implies(S_263,T_260),P_261)))
| ~ is_a_theorem(implies(implies(T_260,implies(implies(S_258,P_259),implies(P_259,T_260))),P_261)) ),
inference(resolution,[status(thm)],[c_582,c_2]) ).
tff(c_1755,plain,
! [S_33,T_262,P_36,S_263,T_34,S_32,P_259,T_10,S_258] : is_a_theorem(implies(T_262,implies(implies(S_263,implies(T_34,implies(implies(S_33,P_36),implies(P_36,T_34)))),implies(T_10,implies(implies(S_32,T_34),implies(implies(S_258,P_259),implies(P_259,implies(T_34,implies(implies(S_33,P_36),implies(P_36,T_34)))))))))),
inference(resolution,[status(thm)],[c_41,c_1660]) ).
tff(c_16126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16011,c_1755]) ).
tff(c_16128,plain,
! [T_816,S_817,P_818] :
( is_a_theorem(implies(T_816,implies(implies(S_817,P_818),P_818)))
| ~ is_a_theorem(S_817) ),
inference(splitRight,[status(thm)],[c_16010]) ).
tff(c_16239,plain,
! [S_817,P_818,T_816] :
( is_a_theorem(implies(implies(S_817,P_818),P_818))
| ~ is_a_theorem(T_816)
| ~ is_a_theorem(S_817) ),
inference(resolution,[status(thm)],[c_16128,c_2]) ).
tff(c_16240,plain,
! [T_816] : ~ is_a_theorem(T_816),
inference(splitLeft,[status(thm)],[c_16239]) ).
tff(c_16356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16240,c_1755]) ).
tff(c_16358,plain,
! [S_819,P_820] :
( is_a_theorem(implies(implies(S_819,P_820),P_820))
| ~ is_a_theorem(S_819) ),
inference(splitRight,[status(thm)],[c_16239]) ).
tff(c_818,plain,
! [T_171,R_172,P_170,S_169] :
( is_a_theorem(implies(T_171,implies(R_172,P_170)))
| ~ is_a_theorem(implies(S_169,P_170))
| ~ is_a_theorem(implies(R_172,S_169)) ),
inference(resolution,[status(thm)],[c_792,c_2]) ).
tff(c_22133,plain,
! [T_992,R_993,P_994,S_995] :
( is_a_theorem(implies(T_992,implies(R_993,P_994)))
| ~ is_a_theorem(implies(R_993,implies(S_995,P_994)))
| ~ is_a_theorem(S_995) ),
inference(resolution,[status(thm)],[c_16358,c_818]) ).
tff(c_22425,plain,
! [T_496,S_495,S_497,T_992,T_10] :
( is_a_theorem(implies(T_992,implies(implies(implies(S_497,S_497),S_495),implies(T_496,S_495))))
| ~ is_a_theorem(T_10) ),
inference(resolution,[status(thm)],[c_5805,c_22133]) ).
tff(c_22618,plain,
! [T_10] : ~ is_a_theorem(T_10),
inference(splitLeft,[status(thm)],[c_22425]) ).
tff(c_10493,plain,
! [T_645,R_646,R_647,T_648] :
( is_a_theorem(implies(T_645,implies(R_646,implies(R_647,T_648))))
| ~ is_a_theorem(implies(R_646,T_648)) ),
inference(resolution,[status(thm)],[c_8199,c_818]) ).
tff(c_10589,plain,
! [R_646,R_647,T_648,T_645] :
( is_a_theorem(implies(R_646,implies(R_647,T_648)))
| ~ is_a_theorem(T_645)
| ~ is_a_theorem(implies(R_646,T_648)) ),
inference(resolution,[status(thm)],[c_10493,c_2]) ).
tff(c_10840,plain,
! [T_645] : ~ is_a_theorem(T_645),
inference(splitLeft,[status(thm)],[c_10589]) ).
tff(c_10935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10840,c_8262]) ).
tff(c_10938,plain,
! [R_653,R_654,T_655] :
( is_a_theorem(implies(R_653,implies(R_654,T_655)))
| ~ is_a_theorem(implies(R_653,T_655)) ),
inference(splitRight,[status(thm)],[c_10589]) ).
tff(c_11055,plain,
! [R_656,T_657,R_658] :
( is_a_theorem(implies(R_656,T_657))
| ~ is_a_theorem(R_658)
| ~ is_a_theorem(implies(R_658,T_657)) ),
inference(resolution,[status(thm)],[c_10938,c_2]) ).
tff(c_12586,plain,
! [P_725,S_721,T_720,R_722,R_723,Q_724] :
( is_a_theorem(implies(R_722,implies(implies(S_721,P_725),implies(T_720,implies(R_723,P_725)))))
| ~ is_a_theorem(implies(implies(P_725,Q_724),implies(R_723,S_721))) ),
inference(resolution,[status(thm)],[c_4,c_11055]) ).
tff(c_12814,plain,
! [P_725,S_537,T_720,R_722,T_536] : is_a_theorem(implies(R_722,implies(implies(implies(S_537,S_537),P_725),implies(T_720,implies(T_536,P_725))))),
inference(resolution,[status(thm)],[c_7211,c_12586]) ).
tff(c_22759,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22618,c_12814]) ).
tff(c_22761,plain,
! [T_1002,S_1003,S_1004,T_1005] : is_a_theorem(implies(T_1002,implies(implies(implies(S_1003,S_1003),S_1004),implies(T_1005,S_1004)))),
inference(splitRight,[status(thm)],[c_22425]) ).
tff(c_16477,plain,
! [P_820,S_819] :
( is_a_theorem(P_820)
| ~ is_a_theorem(implies(S_819,P_820))
| ~ is_a_theorem(S_819) ),
inference(resolution,[status(thm)],[c_16358,c_2]) ).
tff(c_22874,plain,
! [S_1003,S_1004,T_1005,T_1002] :
( is_a_theorem(implies(implies(implies(S_1003,S_1003),S_1004),implies(T_1005,S_1004)))
| ~ is_a_theorem(T_1002) ),
inference(resolution,[status(thm)],[c_22761,c_16477]) ).
tff(c_22930,plain,
! [T_1002] : ~ is_a_theorem(T_1002),
inference(splitLeft,[status(thm)],[c_22874]) ).
tff(c_22760,plain,
! [T_992,S_497,S_495,T_496] : is_a_theorem(implies(T_992,implies(implies(implies(S_497,S_497),S_495),implies(T_496,S_495)))),
inference(splitRight,[status(thm)],[c_22425]) ).
tff(c_23073,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22930,c_22760]) ).
tff(c_23075,plain,
! [S_1006,S_1007,T_1008] : is_a_theorem(implies(implies(implies(S_1006,S_1006),S_1007),implies(T_1008,S_1007))),
inference(splitRight,[status(thm)],[c_22874]) ).
tff(c_16467,plain,
! [T_171,R_172,P_820,S_819] :
( is_a_theorem(implies(T_171,implies(R_172,P_820)))
| ~ is_a_theorem(implies(R_172,implies(S_819,P_820)))
| ~ is_a_theorem(S_819) ),
inference(resolution,[status(thm)],[c_16358,c_818]) ).
tff(c_23164,plain,
! [T_171,S_1006,S_1007,T_1008] :
( is_a_theorem(implies(T_171,implies(implies(implies(S_1006,S_1006),S_1007),S_1007)))
| ~ is_a_theorem(T_1008) ),
inference(resolution,[status(thm)],[c_23075,c_16467]) ).
tff(c_23841,plain,
! [T_1008] : ~ is_a_theorem(T_1008),
inference(splitLeft,[status(thm)],[c_23164]) ).
tff(c_819,plain,
! [T_173,R_174,P_175,S_176] :
( is_a_theorem(implies(T_173,implies(R_174,P_175)))
| ~ is_a_theorem(implies(S_176,P_175))
| ~ is_a_theorem(implies(R_174,S_176)) ),
inference(resolution,[status(thm)],[c_792,c_2]) ).
tff(c_21190,plain,
! [R_970,Q_971,T_966,T_967,R_969,P_972,S_968] :
( is_a_theorem(implies(T_967,implies(R_970,implies(implies(S_968,P_972),implies(T_966,implies(R_969,P_972))))))
| ~ is_a_theorem(implies(R_970,implies(implies(P_972,Q_971),implies(R_969,S_968)))) ),
inference(resolution,[status(thm)],[c_4,c_819]) ).
tff(c_21576,plain,
! [S_5,T_966,T_7,T_967,P_3,R_4,Q_6] : is_a_theorem(implies(T_967,implies(implies(implies(P_3,Q_6),implies(R_4,S_5)),implies(implies(implies(R_4,P_3),S_5),implies(T_966,implies(T_7,S_5)))))),
inference(resolution,[status(thm)],[c_4,c_21190]) ).
tff(c_23986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23841,c_21576]) ).
tff(c_23988,plain,
! [T_1019,S_1020,S_1021] : is_a_theorem(implies(T_1019,implies(implies(implies(S_1020,S_1020),S_1021),S_1021))),
inference(splitRight,[status(thm)],[c_23164]) ).
tff(c_24101,plain,
! [S_1020,S_1021,T_1019] :
( is_a_theorem(implies(implies(implies(S_1020,S_1020),S_1021),S_1021))
| ~ is_a_theorem(T_1019) ),
inference(resolution,[status(thm)],[c_23988,c_16477]) ).
tff(c_24132,plain,
! [T_1019] : ~ is_a_theorem(T_1019),
inference(splitLeft,[status(thm)],[c_24101]) ).
tff(c_23987,plain,
! [T_171,S_1006,S_1007] : is_a_theorem(implies(T_171,implies(implies(implies(S_1006,S_1006),S_1007),S_1007))),
inference(splitRight,[status(thm)],[c_23164]) ).
tff(c_24278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24132,c_23987]) ).
tff(c_24433,plain,
! [S_1029,S_1030] : is_a_theorem(implies(implies(implies(S_1029,S_1029),S_1030),S_1030)),
inference(splitRight,[status(thm)],[c_24101]) ).
tff(c_24583,plain,
! [S_1031,S_1032] :
( is_a_theorem(S_1031)
| ~ is_a_theorem(implies(implies(S_1032,S_1032),S_1031)) ),
inference(resolution,[status(thm)],[c_24433,c_16477]) ).
tff(c_26884,plain,
! [T_1059,P_1060,Q_1061,R_1062] : is_a_theorem(implies(T_1059,implies(implies(implies(P_1060,Q_1061),P_1060),implies(R_1062,P_1060)))),
inference(resolution,[status(thm)],[c_14729,c_24583]) ).
tff(c_24539,plain,
! [S_1030,S_1029] :
( is_a_theorem(S_1030)
| ~ is_a_theorem(implies(implies(S_1029,S_1029),S_1030)) ),
inference(resolution,[status(thm)],[c_24433,c_16477]) ).
tff(c_27498,plain,
! [P_1072,Q_1073,R_1074] : is_a_theorem(implies(implies(implies(P_1072,Q_1073),P_1072),implies(R_1074,P_1072))),
inference(resolution,[status(thm)],[c_26884,c_24539]) ).
tff(c_27583,plain,
! [T_171,P_1072,Q_1073,R_1074] :
( is_a_theorem(implies(T_171,implies(implies(implies(P_1072,Q_1073),P_1072),P_1072)))
| ~ is_a_theorem(R_1074) ),
inference(resolution,[status(thm)],[c_27498,c_16467]) ).
tff(c_29192,plain,
! [R_1074] : ~ is_a_theorem(R_1074),
inference(splitLeft,[status(thm)],[c_27583]) ).
tff(c_3851,plain,
! [R_424,T_423,R_420,T_422,T_419,T_421] :
( is_a_theorem(implies(T_423,implies(R_424,implies(T_422,implies(T_419,implies(R_420,T_421))))))
| ~ is_a_theorem(implies(R_424,T_421)) ),
inference(resolution,[status(thm)],[c_237,c_819]) ).
tff(c_3931,plain,
! [R_424,T_423,R_420,T_422,T_419,T_421] :
( is_a_theorem(implies(R_424,implies(T_422,implies(T_419,implies(R_420,T_421)))))
| ~ is_a_theorem(T_423)
| ~ is_a_theorem(implies(R_424,T_421)) ),
inference(resolution,[status(thm)],[c_3851,c_2]) ).
tff(c_4140,plain,
! [T_423] : ~ is_a_theorem(T_423),
inference(splitLeft,[status(thm)],[c_3931]) ).
tff(c_3850,plain,
! [T_411,T_7,T_414,S_413,P_3,Q_412] : is_a_theorem(implies(T_411,implies(T_414,implies(implies(implies(P_3,Q_412),P_3),implies(T_7,implies(implies(S_413,P_3),P_3)))))),
inference(resolution,[status(thm)],[c_4,c_3740]) ).
tff(c_4301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4140,c_3850]) ).
tff(c_4303,plain,
! [T_439,R_438,T_440,R_437,T_436] :
( is_a_theorem(implies(R_437,implies(T_440,implies(T_439,implies(R_438,T_436)))))
| ~ is_a_theorem(implies(R_437,T_436)) ),
inference(splitRight,[status(thm)],[c_3931]) ).
tff(c_4388,plain,
! [R_444,T_441,R_445,T_442,T_443] :
( is_a_theorem(implies(T_441,implies(T_442,implies(R_444,T_443))))
| ~ is_a_theorem(R_445)
| ~ is_a_theorem(implies(R_445,T_443)) ),
inference(resolution,[status(thm)],[c_4303,c_2]) ).
tff(c_25335,plain,
! [Q_1043,T_1041,R_1042,S_1038,T_1037,P_1044,R_1039,T_1040] :
( is_a_theorem(implies(T_1041,implies(T_1040,implies(R_1042,implies(implies(S_1038,P_1044),implies(T_1037,implies(R_1039,P_1044)))))))
| ~ is_a_theorem(implies(implies(P_1044,Q_1043),implies(R_1039,S_1038))) ),
inference(resolution,[status(thm)],[c_4,c_4388]) ).
tff(c_25746,plain,
! [S_5,T_1041,R_1042,T_1037,T_7,T_1040,P_3,R_4,Q_6] : is_a_theorem(implies(T_1041,implies(T_1040,implies(R_1042,implies(implies(implies(T_7,implies(R_4,P_3)),implies(P_3,Q_6)),implies(T_1037,implies(implies(S_5,P_3),implies(P_3,Q_6)))))))),
inference(resolution,[status(thm)],[c_4,c_25335]) ).
tff(c_29540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29192,c_25746]) ).
tff(c_29542,plain,
! [T_1104,P_1105,Q_1106] : is_a_theorem(implies(T_1104,implies(implies(implies(P_1105,Q_1106),P_1105),P_1105))),
inference(splitRight,[status(thm)],[c_27583]) ).
tff(c_29673,plain,
! [P_1105,Q_1106] : is_a_theorem(implies(implies(implies(P_1105,Q_1106),P_1105),P_1105)),
inference(resolution,[status(thm)],[c_29542,c_24539]) ).
tff(c_16357,plain,
! [S_817,P_818] :
( is_a_theorem(implies(implies(S_817,P_818),P_818))
| ~ is_a_theorem(S_817) ),
inference(splitRight,[status(thm)],[c_16239]) ).
tff(c_22015,plain,
! [P_988,P_989,T_990,S_991] :
( is_a_theorem(implies(implies(P_988,P_989),implies(T_990,implies(implies(S_991,P_988),P_989))))
| ~ is_a_theorem(S_991) ),
inference(resolution,[status(thm)],[c_16128,c_12]) ).
tff(c_32768,plain,
! [T_1145,S_1146,P_1147,P_1148] :
( is_a_theorem(implies(T_1145,implies(implies(S_1146,P_1147),P_1148)))
| ~ is_a_theorem(implies(P_1147,P_1148))
| ~ is_a_theorem(S_1146) ),
inference(resolution,[status(thm)],[c_22015,c_16477]) ).
tff(c_32966,plain,
! [S_1149,P_1150,P_1151] :
( is_a_theorem(implies(implies(S_1149,P_1150),P_1151))
| ~ is_a_theorem(implies(P_1150,P_1151))
| ~ is_a_theorem(S_1149) ),
inference(resolution,[status(thm)],[c_32768,c_24539]) ).
tff(c_33352,plain,
! [P_1159,S_1160,P_1161] :
( is_a_theorem(P_1159)
| ~ is_a_theorem(implies(S_1160,P_1161))
| ~ is_a_theorem(implies(P_1161,P_1159))
| ~ is_a_theorem(S_1160) ),
inference(resolution,[status(thm)],[c_32966,c_16477]) ).
tff(c_34162,plain,
! [P_1165,P_1166,S_1167] :
( is_a_theorem(P_1165)
| ~ is_a_theorem(implies(P_1166,P_1165))
| ~ is_a_theorem(implies(S_1167,P_1166))
| ~ is_a_theorem(S_1167) ),
inference(resolution,[status(thm)],[c_16357,c_33352]) ).
tff(c_43550,plain,
! [P_1218,S_1219,Q_1220] :
( is_a_theorem(P_1218)
| ~ is_a_theorem(implies(S_1219,implies(implies(P_1218,Q_1220),P_1218)))
| ~ is_a_theorem(S_1219) ),
inference(resolution,[status(thm)],[c_29673,c_34162]) ).
tff(c_50159,plain,
! [T_1279,R_1280,P_1281,Q_1282] :
( is_a_theorem(implies(T_1279,implies(R_1280,P_1281)))
| ~ is_a_theorem(implies(implies(P_1281,Q_1282),implies(R_1280,implies(T_1279,implies(R_1280,P_1281))))) ),
inference(resolution,[status(thm)],[c_4,c_43550]) ).
tff(c_50653,plain,
! [S_5,P_3,R_4] : is_a_theorem(implies(implies(S_5,P_3),implies(implies(R_4,S_5),implies(R_4,P_3)))),
inference(resolution,[status(thm)],[c_10422,c_50159]) ).
tff(c_414,plain,
! [S_11,P_14,T_10,R_12] :
( is_a_theorem(implies(implies(S_11,P_14),implies(T_10,implies(R_12,P_14))))
| ~ is_a_theorem(implies(R_12,S_11)) ),
inference(resolution,[status(thm)],[c_385,c_12]) ).
tff(c_24279,plain,
! [S_1020,S_1021] : is_a_theorem(implies(implies(implies(S_1020,S_1020),S_1021),S_1021)),
inference(splitRight,[status(thm)],[c_24101]) ).
tff(c_38914,plain,
! [S_1190,S_1191,S_1192] :
( is_a_theorem(S_1190)
| ~ is_a_theorem(implies(S_1191,implies(implies(S_1192,S_1192),S_1190)))
| ~ is_a_theorem(S_1191) ),
inference(resolution,[status(thm)],[c_24279,c_34162]) ).
tff(c_44827,plain,
! [R_1230,P_1231,S_1232] :
( is_a_theorem(implies(R_1230,P_1231))
| ~ is_a_theorem(implies(S_1232,P_1231))
| ~ is_a_theorem(implies(R_1230,S_1232)) ),
inference(resolution,[status(thm)],[c_414,c_38914]) ).
tff(c_48764,plain,
! [R_1265,P_1266,Q_1267] :
( is_a_theorem(implies(R_1265,P_1266))
| ~ is_a_theorem(implies(R_1265,implies(implies(P_1266,Q_1267),P_1266))) ),
inference(resolution,[status(thm)],[c_29673,c_44827]) ).
tff(c_49380,plain,
! [S_11,P_14,R_12] :
( is_a_theorem(implies(implies(S_11,P_14),implies(R_12,P_14)))
| ~ is_a_theorem(implies(R_12,S_11)) ),
inference(resolution,[status(thm)],[c_414,c_48764]) ).
tff(c_56985,plain,
! [S_1357,P_1358,R_1359] : is_a_theorem(implies(implies(S_1357,P_1358),implies(implies(R_1359,S_1357),implies(R_1359,P_1358)))),
inference(resolution,[status(thm)],[c_10422,c_50159]) ).
tff(c_57208,plain,
! [R_1359,S_1357,P_1358] :
( is_a_theorem(implies(implies(R_1359,S_1357),implies(R_1359,P_1358)))
| ~ is_a_theorem(implies(S_1357,P_1358)) ),
inference(resolution,[status(thm)],[c_56985,c_16477]) ).
tff(c_29541,plain,
! [T_171,P_1072,Q_1073] : is_a_theorem(implies(T_171,implies(implies(implies(P_1072,Q_1073),P_1072),P_1072))),
inference(splitRight,[status(thm)],[c_27583]) ).
tff(c_50998,plain,
! [S_1286,P_1287,R_1288] :
( is_a_theorem(implies(implies(S_1286,P_1287),implies(R_1288,P_1287)))
| ~ is_a_theorem(implies(R_1288,S_1286)) ),
inference(resolution,[status(thm)],[c_414,c_48764]) ).
tff(c_34426,plain,
! [P_1105,S_1167,Q_1106] :
( is_a_theorem(P_1105)
| ~ is_a_theorem(implies(S_1167,implies(implies(P_1105,Q_1106),P_1105)))
| ~ is_a_theorem(S_1167) ),
inference(resolution,[status(thm)],[c_29673,c_34162]) ).
tff(c_67467,plain,
! [P_1443,S_1444,Q_1445] :
( is_a_theorem(P_1443)
| ~ is_a_theorem(implies(S_1444,P_1443))
| ~ is_a_theorem(implies(implies(P_1443,Q_1445),S_1444)) ),
inference(resolution,[status(thm)],[c_50998,c_34426]) ).
tff(c_74989,plain,
! [P_1492,P_1493,Q_1494] :
( is_a_theorem(P_1492)
| ~ is_a_theorem(implies(implies(implies(implies(P_1493,Q_1494),P_1493),P_1493),P_1492)) ),
inference(resolution,[status(thm)],[c_29541,c_67467]) ).
tff(c_76693,plain,
! [S_1498,R_1499,Q_1500,T_1501] : is_a_theorem(implies(implies(S_1498,implies(implies(R_1499,S_1498),Q_1500)),implies(T_1501,implies(R_1499,implies(implies(R_1499,S_1498),Q_1500))))),
inference(resolution,[status(thm)],[c_4,c_74989]) ).
tff(c_7932,plain,
! [T_240,T_238,R_237] : is_a_theorem(implies(T_240,implies(T_238,implies(R_237,T_238)))),
inference(resolution,[status(thm)],[c_7865,c_1507]) ).
tff(c_33686,plain,
! [P_1159,T_238,R_237,T_240] :
( is_a_theorem(P_1159)
| ~ is_a_theorem(implies(implies(T_238,implies(R_237,T_238)),P_1159))
| ~ is_a_theorem(T_240) ),
inference(resolution,[status(thm)],[c_7932,c_33352]) ).
tff(c_35263,plain,
! [T_240] : ~ is_a_theorem(T_240),
inference(splitLeft,[status(thm)],[c_33686]) ).
tff(c_4781,plain,
! [T_464,P_14,P_467,T_465,S_463,T_10,Q_462] : is_a_theorem(implies(implies(implies(implies(implies(P_467,Q_462),P_467),implies(T_464,implies(implies(S_463,P_467),P_467))),P_14),implies(T_10,implies(T_465,P_14)))),
inference(resolution,[status(thm)],[c_4693,c_12]) ).
tff(c_35443,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35263,c_4781]) ).
tff(c_35444,plain,
! [P_1159,T_238,R_237] :
( is_a_theorem(P_1159)
| ~ is_a_theorem(implies(implies(T_238,implies(R_237,T_238)),P_1159)) ),
inference(splitRight,[status(thm)],[c_33686]) ).
tff(c_76949,plain,
! [T_1502,R_1503,Q_1504] : is_a_theorem(implies(T_1502,implies(R_1503,implies(implies(R_1503,Q_1504),Q_1504)))),
inference(resolution,[status(thm)],[c_76693,c_35444]) ).
tff(c_51208,plain,
! [P_1287,S_1286,Q_1106] :
( is_a_theorem(P_1287)
| ~ is_a_theorem(implies(S_1286,P_1287))
| ~ is_a_theorem(implies(implies(P_1287,Q_1106),S_1286)) ),
inference(resolution,[status(thm)],[c_50998,c_34426]) ).
tff(c_110294,plain,
! [P_1790,R_1791,Q_1792] :
( is_a_theorem(P_1790)
| ~ is_a_theorem(implies(implies(R_1791,implies(implies(R_1791,Q_1792),Q_1792)),P_1790)) ),
inference(resolution,[status(thm)],[c_76949,c_51208]) ).
tff(c_113231,plain,
! [R_1810,P_1811,Q_1812] :
( is_a_theorem(implies(R_1810,P_1811))
| ~ is_a_theorem(implies(implies(implies(R_1810,Q_1812),Q_1812),P_1811)) ),
inference(resolution,[status(thm)],[c_57208,c_110294]) ).
tff(c_117071,plain,
! [R_1836,R_1837,P_1838] :
( is_a_theorem(implies(R_1836,implies(R_1837,P_1838)))
| ~ is_a_theorem(implies(R_1837,implies(R_1836,P_1838))) ),
inference(resolution,[status(thm)],[c_49380,c_113231]) ).
tff(c_117658,plain,
! [R_4,S_5,P_3] : is_a_theorem(implies(implies(R_4,S_5),implies(implies(S_5,P_3),implies(R_4,P_3)))),
inference(resolution,[status(thm)],[c_50653,c_117071]) ).
tff(c_6,plain,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_121833,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_117658,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LCL093-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 14:10:52 EDT 2023
% 0.15/0.36 % CPUTime :
% 25.85/14.85 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.85/14.88
% 25.85/14.88 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 26.18/14.96
% 26.18/14.96 Inference rules
% 26.18/14.96 ----------------------
% 26.18/14.96 #Ref : 0
% 26.18/14.96 #Sup : 26012
% 26.18/14.96 #Fact : 0
% 26.18/14.96 #Define : 0
% 26.18/14.96 #Split : 46
% 26.18/14.96 #Chain : 0
% 26.18/14.96 #Close : 0
% 26.18/14.96
% 26.18/14.96 Ordering : KBO
% 26.18/14.96
% 26.18/14.96 Simplification rules
% 26.18/14.96 ----------------------
% 26.18/14.96 #Subsume : 7025
% 26.18/14.96 #Demod : 9888
% 26.18/14.96 #Tautology : 9872
% 26.18/14.96 #SimpNegUnit : 4407
% 26.18/14.96 #BackRed : 2298
% 26.18/14.96
% 26.18/14.96 #Partial instantiations: 0
% 26.18/14.96 #Strategies tried : 1
% 26.18/14.96
% 26.18/14.96 Timing (in seconds)
% 26.18/14.96 ----------------------
% 26.18/14.96 Preprocessing : 0.39
% 26.18/14.96 Parsing : 0.22
% 26.18/14.96 CNF conversion : 0.02
% 26.18/14.96 Main loop : 13.42
% 26.18/14.96 Inferencing : 1.64
% 26.18/14.96 Reduction : 5.16
% 26.18/14.96 Demodulation : 4.53
% 26.18/14.96 BG Simplification : 0.10
% 26.18/14.96 Subsumption : 5.76
% 26.18/14.96 Abstraction : 0.17
% 26.18/14.96 MUC search : 0.00
% 26.18/14.96 Cooper : 0.00
% 26.18/14.96 Total : 13.93
% 26.18/14.96 Index Insertion : 0.00
% 26.18/14.96 Index Deletion : 0.00
% 26.18/14.96 Index Matching : 0.00
% 26.18/14.96 BG Taut test : 0.00
%------------------------------------------------------------------------------