TSTP Solution File: LCL119-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL119-1 : 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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n022.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 10:47:25 EDT 2023
% Result : Unsatisfiable 151.76s 127.39s
% Output : CNFRefutation 152.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 92 ( 21 unt; 5 typ; 0 def)
% Number of atoms : 196 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 226 ( 117 ~; 109 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 6 ( 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 : 225 (; 225 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_a_theorem > equivalent > #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(equivalent,type,
equivalent: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_36,axiom,
! [X,Y,Z] : is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(Z,X)),equivalent(Y,Z)))),
file(unknown,unknown) ).
tff(f_33,axiom,
! [X,Y] :
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file(unknown,unknown) ).
tff(f_39,axiom,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(c,equivalent(b,a)))),
file(unknown,unknown) ).
tff(c_4,plain,
! [X_3,Y_4,Z_5] : is_a_theorem(equivalent(X_3,equivalent(equivalent(Y_4,equivalent(Z_5,X_3)),equivalent(Y_4,Z_5)))),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_8,plain,
! [X_8,Y_9,Z_10] : is_a_theorem(equivalent(X_8,equivalent(equivalent(Y_9,equivalent(Z_10,X_8)),equivalent(Y_9,Z_10)))),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( is_a_theorem(Y_2)
| ~ is_a_theorem(X_1)
| ~ is_a_theorem(equivalent(X_1,Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_12,plain,
! [Y_9,Z_10,X_8] :
( is_a_theorem(equivalent(equivalent(Y_9,equivalent(Z_10,X_8)),equivalent(Y_9,Z_10)))
| ~ is_a_theorem(X_8) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_13,plain,
! [Y_11,Z_12,X_13] :
( is_a_theorem(equivalent(equivalent(Y_11,equivalent(Z_12,X_13)),equivalent(Y_11,Z_12)))
| ~ is_a_theorem(X_13) ),
inference(resolution,[status(thm)],[c_8,c_2]) ).
tff(c_18,plain,
! [Y_14,Z_15,X_16] :
( is_a_theorem(equivalent(Y_14,Z_15))
| ~ is_a_theorem(equivalent(Y_14,equivalent(Z_15,X_16)))
| ~ is_a_theorem(X_16) ),
inference(resolution,[status(thm)],[c_13,c_2]) ).
tff(c_27,plain,
! [Y_17,Z_18,X_19] :
( is_a_theorem(equivalent(equivalent(Y_17,equivalent(Z_18,X_19)),Y_17))
| ~ is_a_theorem(Z_18)
| ~ is_a_theorem(X_19) ),
inference(resolution,[status(thm)],[c_12,c_18]) ).
tff(c_46,plain,
! [Y_23,Z_24,X_25] :
( is_a_theorem(Y_23)
| ~ is_a_theorem(equivalent(Y_23,equivalent(Z_24,X_25)))
| ~ is_a_theorem(Z_24)
| ~ is_a_theorem(X_25) ),
inference(resolution,[status(thm)],[c_27,c_2]) ).
tff(c_81,plain,
! [X_29,Y_30,Z_31] :
( is_a_theorem(X_29)
| ~ is_a_theorem(equivalent(Y_30,equivalent(Z_31,X_29)))
| ~ is_a_theorem(equivalent(Y_30,Z_31)) ),
inference(resolution,[status(thm)],[c_4,c_46]) ).
tff(c_415,plain,
! [Y_60,Z_61,X_62] :
( is_a_theorem(equivalent(Y_60,Z_61))
| ~ is_a_theorem(equivalent(X_62,equivalent(Y_60,equivalent(Z_61,X_62)))) ),
inference(resolution,[status(thm)],[c_4,c_81]) ).
tff(c_440,plain,
! [Y_63,Z_64] : is_a_theorem(equivalent(equivalent(Y_63,equivalent(Z_64,Z_64)),Y_63)),
inference(resolution,[status(thm)],[c_4,c_415]) ).
tff(c_37,plain,
! [X_20,Y_21,Z_22] :
( is_a_theorem(equivalent(X_20,equivalent(Y_21,equivalent(Z_22,X_20))))
| ~ is_a_theorem(equivalent(Y_21,Z_22)) ),
inference(resolution,[status(thm)],[c_4,c_18]) ).
tff(c_17,plain,
! [Y_11,Z_12,X_13] :
( is_a_theorem(equivalent(Y_11,Z_12))
| ~ is_a_theorem(equivalent(Y_11,equivalent(Z_12,X_13)))
| ~ is_a_theorem(X_13) ),
inference(resolution,[status(thm)],[c_13,c_2]) ).
tff(c_44,plain,
! [X_20,Y_21,Z_22] :
( is_a_theorem(equivalent(X_20,Y_21))
| ~ is_a_theorem(equivalent(Z_22,X_20))
| ~ is_a_theorem(equivalent(Y_21,Z_22)) ),
inference(resolution,[status(thm)],[c_37,c_17]) ).
tff(c_4808,plain,
! [Y_213,Y_214,Z_215] :
( is_a_theorem(equivalent(Y_213,Y_214))
| ~ is_a_theorem(equivalent(Y_214,equivalent(Y_213,equivalent(Z_215,Z_215)))) ),
inference(resolution,[status(thm)],[c_440,c_44]) ).
tff(c_4968,plain,
! [Z_216,X_217] : is_a_theorem(equivalent(equivalent(Z_216,equivalent(Z_216,X_217)),X_217)),
inference(resolution,[status(thm)],[c_4,c_4808]) ).
tff(c_58230,plain,
! [Z_887,Z_888,X_889] :
( is_a_theorem(equivalent(equivalent(Z_887,equivalent(Z_887,equivalent(Z_888,X_889))),Z_888))
| ~ is_a_theorem(X_889) ),
inference(resolution,[status(thm)],[c_4968,c_17]) ).
tff(c_439,plain,
! [Y_4,Z_5] : is_a_theorem(equivalent(equivalent(Y_4,equivalent(Z_5,Z_5)),Y_4)),
inference(resolution,[status(thm)],[c_4,c_415]) ).
tff(c_136,plain,
! [X_34,Y_35,Z_36] :
( is_a_theorem(equivalent(X_34,Y_35))
| ~ is_a_theorem(equivalent(Z_36,X_34))
| ~ is_a_theorem(equivalent(Y_35,Z_36)) ),
inference(resolution,[status(thm)],[c_37,c_17]) ).
tff(c_1201,plain,
! [Y_94,Z_95,X_96,Y_97] :
( is_a_theorem(equivalent(equivalent(equivalent(Y_94,equivalent(Z_95,X_96)),equivalent(Y_94,Z_95)),Y_97))
| ~ is_a_theorem(equivalent(Y_97,X_96)) ),
inference(resolution,[status(thm)],[c_4,c_136]) ).
tff(c_63,plain,
! [X_3,Y_4,Z_5] :
( is_a_theorem(X_3)
| ~ is_a_theorem(equivalent(Y_4,equivalent(Z_5,X_3)))
| ~ is_a_theorem(equivalent(Y_4,Z_5)) ),
inference(resolution,[status(thm)],[c_4,c_46]) ).
tff(c_50191,plain,
! [X_807,Y_804,Z_803,Z_806,X_805] :
( is_a_theorem(X_805)
| ~ is_a_theorem(equivalent(equivalent(equivalent(Y_804,equivalent(Z_803,X_807)),equivalent(Y_804,Z_803)),Z_806))
| ~ is_a_theorem(equivalent(equivalent(Z_806,X_805),X_807)) ),
inference(resolution,[status(thm)],[c_1201,c_63]) ).
tff(c_50444,plain,
! [X_805,Z_5,X_807] :
( is_a_theorem(X_805)
| ~ is_a_theorem(equivalent(equivalent(equivalent(Z_5,equivalent(Z_5,X_807)),X_805),X_807)) ),
inference(resolution,[status(thm)],[c_439,c_50191]) ).
tff(c_150915,plain,
! [Z_1533,Z_1534,X_1535] :
( is_a_theorem(equivalent(equivalent(Z_1533,equivalent(Z_1533,Z_1534)),equivalent(Z_1534,X_1535)))
| ~ is_a_theorem(X_1535) ),
inference(resolution,[status(thm)],[c_58230,c_50444]) ).
tff(c_5107,plain,
! [X_217,Y_21,Z_216] :
( is_a_theorem(equivalent(X_217,Y_21))
| ~ is_a_theorem(equivalent(Y_21,equivalent(Z_216,equivalent(Z_216,X_217)))) ),
inference(resolution,[status(thm)],[c_4968,c_44]) ).
tff(c_151594,plain,
! [X_217,Z_1533,Z_1534] :
( is_a_theorem(equivalent(X_217,equivalent(Z_1533,equivalent(Z_1533,Z_1534))))
| ~ is_a_theorem(equivalent(Z_1534,X_217)) ),
inference(resolution,[status(thm)],[c_150915,c_5107]) ).
tff(c_924,plain,
! [Y_84,Z_85,Y_86,X_87] :
( is_a_theorem(equivalent(equivalent(Y_84,Z_85),Y_86))
| ~ is_a_theorem(equivalent(Y_86,equivalent(Y_84,equivalent(Z_85,X_87))))
| ~ is_a_theorem(X_87) ),
inference(resolution,[status(thm)],[c_12,c_136]) ).
tff(c_997,plain,
! [Y_4,Z_5,X_3] :
( is_a_theorem(equivalent(equivalent(equivalent(Y_4,equivalent(Z_5,X_3)),Y_4),X_3))
| ~ is_a_theorem(Z_5) ),
inference(resolution,[status(thm)],[c_4,c_924]) ).
tff(c_26,plain,
! [X_3,Y_4,Z_5] :
( is_a_theorem(equivalent(X_3,equivalent(Y_4,equivalent(Z_5,X_3))))
| ~ is_a_theorem(equivalent(Y_4,Z_5)) ),
inference(resolution,[status(thm)],[c_4,c_18]) ).
tff(c_616,plain,
! [Y_72,Z_73] :
( is_a_theorem(Y_72)
| ~ is_a_theorem(equivalent(Y_72,equivalent(Z_73,Z_73))) ),
inference(resolution,[status(thm)],[c_440,c_2]) ).
tff(c_671,plain,
! [X_3,Z_5] :
( is_a_theorem(X_3)
| ~ is_a_theorem(equivalent(equivalent(Z_5,X_3),Z_5)) ),
inference(resolution,[status(thm)],[c_26,c_616]) ).
tff(c_54868,plain,
! [Y_856,Z_857,X_858] :
( is_a_theorem(equivalent(Y_856,Z_857))
| ~ is_a_theorem(equivalent(equivalent(Y_856,equivalent(Z_857,X_858)),X_858)) ),
inference(resolution,[status(thm)],[c_1201,c_671]) ).
tff(c_55182,plain,
! [Z_857,X_3,Z_5] :
( is_a_theorem(equivalent(equivalent(equivalent(Z_857,X_3),equivalent(Z_5,X_3)),Z_857))
| ~ is_a_theorem(Z_5) ),
inference(resolution,[status(thm)],[c_997,c_54868]) ).
tff(c_25,plain,
! [Y_9,Z_10,X_8] :
( is_a_theorem(equivalent(equivalent(Y_9,equivalent(Z_10,X_8)),Y_9))
| ~ is_a_theorem(Z_10)
| ~ is_a_theorem(X_8) ),
inference(resolution,[status(thm)],[c_12,c_18]) ).
tff(c_64,plain,
! [Y_26,Z_27,X_28] :
( is_a_theorem(equivalent(Y_26,equivalent(Z_27,X_28)))
| ~ is_a_theorem(X_28)
| ~ is_a_theorem(equivalent(Y_26,Z_27)) ),
inference(resolution,[status(thm)],[c_37,c_2]) ).
tff(c_180,plain,
! [Z_41,X_42,Y_43] :
( is_a_theorem(equivalent(Z_41,X_42))
| ~ is_a_theorem(Y_43)
| ~ is_a_theorem(X_42)
| ~ is_a_theorem(equivalent(Y_43,Z_41)) ),
inference(resolution,[status(thm)],[c_64,c_2]) ).
tff(c_14929,plain,
! [Y_386,X_387,Z_388,X_389] :
( is_a_theorem(equivalent(Y_386,X_387))
| ~ is_a_theorem(equivalent(Y_386,equivalent(Z_388,X_389)))
| ~ is_a_theorem(X_387)
| ~ is_a_theorem(Z_388)
| ~ is_a_theorem(X_389) ),
inference(resolution,[status(thm)],[c_25,c_180]) ).
tff(c_15499,plain,
! [X_396,X_397,Y_398,Z_399] :
( is_a_theorem(equivalent(X_396,X_397))
| ~ is_a_theorem(X_397)
| ~ is_a_theorem(equivalent(Y_398,equivalent(Z_399,X_396)))
| ~ is_a_theorem(equivalent(Y_398,Z_399)) ),
inference(resolution,[status(thm)],[c_4,c_14929]) ).
tff(c_22794,plain,
! [Y_506,Z_507,X_508,X_509] :
( is_a_theorem(equivalent(equivalent(Y_506,Z_507),X_508))
| ~ is_a_theorem(X_508)
| ~ is_a_theorem(equivalent(X_509,equivalent(Y_506,equivalent(Z_507,X_509)))) ),
inference(resolution,[status(thm)],[c_4,c_15499]) ).
tff(c_22939,plain,
! [Y_4,Z_5,X_508] :
( is_a_theorem(equivalent(equivalent(equivalent(Y_4,equivalent(Z_5,Z_5)),Y_4),X_508))
| ~ is_a_theorem(X_508) ),
inference(resolution,[status(thm)],[c_4,c_22794]) ).
tff(c_199,plain,
! [Y_44,Z_45,X_46] :
( is_a_theorem(equivalent(Y_44,equivalent(Z_45,X_46)))
| ~ is_a_theorem(Y_44)
| ~ is_a_theorem(Z_45)
| ~ is_a_theorem(X_46) ),
inference(resolution,[status(thm)],[c_12,c_46]) ).
tff(c_229,plain,
! [Z_45,X_46,Y_44] :
( is_a_theorem(equivalent(Z_45,X_46))
| ~ is_a_theorem(Y_44)
| ~ is_a_theorem(Z_45)
| ~ is_a_theorem(X_46) ),
inference(resolution,[status(thm)],[c_199,c_2]) ).
tff(c_230,plain,
! [Y_44] : ~ is_a_theorem(Y_44),
inference(splitLeft,[status(thm)],[c_229]) ).
tff(c_245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_230,c_4]) ).
tff(c_246,plain,
! [Z_45,X_46] :
( is_a_theorem(equivalent(Z_45,X_46))
| ~ is_a_theorem(Z_45)
| ~ is_a_theorem(X_46) ),
inference(splitRight,[status(thm)],[c_229]) ).
tff(c_45,plain,
! [Y_21,Z_22,X_20] :
( is_a_theorem(equivalent(Y_21,equivalent(Z_22,X_20)))
| ~ is_a_theorem(X_20)
| ~ is_a_theorem(equivalent(Y_21,Z_22)) ),
inference(resolution,[status(thm)],[c_37,c_2]) ).
tff(c_36,plain,
! [Y_17,Z_18,X_19] :
( is_a_theorem(Y_17)
| ~ is_a_theorem(equivalent(Y_17,equivalent(Z_18,X_19)))
| ~ is_a_theorem(Z_18)
| ~ is_a_theorem(X_19) ),
inference(resolution,[status(thm)],[c_27,c_2]) ).
tff(c_77,plain,
! [Y_26,Z_27,X_28] :
( is_a_theorem(Y_26)
| ~ is_a_theorem(Z_27)
| ~ is_a_theorem(X_28)
| ~ is_a_theorem(equivalent(Y_26,Z_27)) ),
inference(resolution,[status(thm)],[c_64,c_36]) ).
tff(c_103,plain,
! [X_28] : ~ is_a_theorem(X_28),
inference(splitLeft,[status(thm)],[c_77]) ).
tff(c_113,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103,c_4]) ).
tff(c_115,plain,
! [Z_32,Y_33] :
( ~ is_a_theorem(Z_32)
| is_a_theorem(Y_33)
| ~ is_a_theorem(equivalent(Y_33,Z_32)) ),
inference(splitRight,[status(thm)],[c_77]) ).
tff(c_311,plain,
! [Z_52,X_53,Y_54] :
( ~ is_a_theorem(equivalent(Z_52,X_53))
| is_a_theorem(Y_54)
| ~ is_a_theorem(X_53)
| ~ is_a_theorem(equivalent(Y_54,Z_52)) ),
inference(resolution,[status(thm)],[c_45,c_115]) ).
tff(c_328,plain,
! [Y_54,Z_45,X_46] :
( is_a_theorem(Y_54)
| ~ is_a_theorem(equivalent(Y_54,Z_45))
| ~ is_a_theorem(Z_45)
| ~ is_a_theorem(X_46) ),
inference(resolution,[status(thm)],[c_246,c_311]) ).
tff(c_336,plain,
! [X_46] : ~ is_a_theorem(X_46),
inference(splitLeft,[status(thm)],[c_328]) ).
tff(c_380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_336,c_4]) ).
tff(c_381,plain,
! [Y_54,Z_45] :
( is_a_theorem(Y_54)
| ~ is_a_theorem(equivalent(Y_54,Z_45))
| ~ is_a_theorem(Z_45) ),
inference(splitRight,[status(thm)],[c_328]) ).
tff(c_476,plain,
! [Y_65,Z_66] :
( is_a_theorem(equivalent(Y_65,equivalent(Z_66,Z_66)))
| ~ is_a_theorem(Y_65) ),
inference(resolution,[status(thm)],[c_440,c_381]) ).
tff(c_513,plain,
! [Z_66,Y_65] :
( is_a_theorem(equivalent(Z_66,Z_66))
| ~ is_a_theorem(Y_65) ),
inference(resolution,[status(thm)],[c_476,c_2]) ).
tff(c_556,plain,
! [Y_65] : ~ is_a_theorem(Y_65),
inference(splitLeft,[status(thm)],[c_513]) ).
tff(c_578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_556,c_439]) ).
tff(c_579,plain,
! [Z_66] : is_a_theorem(equivalent(Z_66,Z_66)),
inference(splitRight,[status(thm)],[c_513]) ).
tff(c_48030,plain,
! [X_782,Y_780,Z_779,Y_778,Y_781] :
( is_a_theorem(equivalent(Y_780,Y_778))
| ~ is_a_theorem(equivalent(Y_778,equivalent(equivalent(Y_781,equivalent(Z_779,X_782)),equivalent(Y_781,Z_779))))
| ~ is_a_theorem(equivalent(Y_780,X_782)) ),
inference(resolution,[status(thm)],[c_1201,c_44]) ).
tff(c_185218,plain,
! [Y_1738,X_1739,X_1740,Z_1741] :
( is_a_theorem(equivalent(Y_1738,X_1739))
| ~ is_a_theorem(equivalent(Y_1738,X_1740))
| ~ is_a_theorem(equivalent(equivalent(Z_1741,equivalent(X_1739,X_1740)),Z_1741)) ),
inference(resolution,[status(thm)],[c_26,c_48030]) ).
tff(c_185759,plain,
! [Z_1742,X_1743,Z_1744] :
( is_a_theorem(equivalent(Z_1742,X_1743))
| ~ is_a_theorem(equivalent(equivalent(Z_1744,equivalent(X_1743,Z_1742)),Z_1744)) ),
inference(resolution,[status(thm)],[c_579,c_185218]) ).
tff(c_186283,plain,
! [Z_1745,X_1746,Z_1747] :
( is_a_theorem(equivalent(Z_1745,X_1746))
| ~ is_a_theorem(equivalent(equivalent(X_1746,Z_1745),equivalent(Z_1747,Z_1747))) ),
inference(resolution,[status(thm)],[c_22939,c_185759]) ).
tff(c_246110,plain,
! [Z_2043,X_2044,Z_2045] :
( is_a_theorem(equivalent(equivalent(Z_2043,X_2044),equivalent(equivalent(Z_2045,Z_2045),X_2044)))
| ~ is_a_theorem(Z_2043) ),
inference(resolution,[status(thm)],[c_55182,c_186283]) ).
tff(c_102,plain,
! [Y_4,Z_5,X_3] :
( is_a_theorem(equivalent(Y_4,Z_5))
| ~ is_a_theorem(equivalent(X_3,equivalent(Y_4,equivalent(Z_5,X_3)))) ),
inference(resolution,[status(thm)],[c_4,c_81]) ).
tff(c_504,plain,
! [Z_5,Y_65] :
( is_a_theorem(equivalent(equivalent(Z_5,Y_65),Z_5))
| ~ is_a_theorem(Y_65) ),
inference(resolution,[status(thm)],[c_476,c_102]) ).
tff(c_60888,plain,
! [Y_919,Z_920,Y_921] :
( is_a_theorem(equivalent(Y_919,equivalent(equivalent(Y_919,equivalent(Z_920,Z_920)),Y_921)))
| ~ is_a_theorem(Y_921) ),
inference(resolution,[status(thm)],[c_504,c_4808]) ).
tff(c_1256,plain,
! [Z_95,Y_94,Y_21,X_96,Y_97] :
( is_a_theorem(equivalent(Y_97,Y_21))
| ~ is_a_theorem(equivalent(Y_21,equivalent(equivalent(Y_94,equivalent(Z_95,X_96)),equivalent(Y_94,Z_95))))
| ~ is_a_theorem(equivalent(Y_97,X_96)) ),
inference(resolution,[status(thm)],[c_1201,c_44]) ).
tff(c_62745,plain,
! [Y_933,Y_934,Z_935] :
( is_a_theorem(equivalent(Y_933,Y_934))
| ~ is_a_theorem(equivalent(Y_933,Z_935))
| ~ is_a_theorem(equivalent(Y_934,Z_935)) ),
inference(resolution,[status(thm)],[c_60888,c_1256]) ).
tff(c_63012,plain,
! [X_3,Y_934,Y_4,Z_5] :
( is_a_theorem(equivalent(X_3,Y_934))
| ~ is_a_theorem(equivalent(Y_934,equivalent(equivalent(Y_4,equivalent(Z_5,X_3)),equivalent(Y_4,Z_5)))) ),
inference(resolution,[status(thm)],[c_4,c_62745]) ).
tff(c_290416,plain,
! [X_2280,Z_2281,Z_2282] :
( is_a_theorem(equivalent(X_2280,equivalent(Z_2281,equivalent(equivalent(Z_2282,X_2280),Z_2282))))
| ~ is_a_theorem(Z_2281) ),
inference(resolution,[status(thm)],[c_246110,c_63012]) ).
tff(c_367053,plain,
! [X_2595,X_2596,Z_2597] :
( is_a_theorem(equivalent(X_2595,X_2596))
| ~ is_a_theorem(equivalent(equivalent(Z_2597,X_2596),equivalent(Z_2597,X_2595))) ),
inference(resolution,[status(thm)],[c_290416,c_63012]) ).
tff(c_397020,plain,
! [Z_2696,Z_2697,X_2698] :
( is_a_theorem(equivalent(equivalent(Z_2696,Z_2697),X_2698))
| ~ is_a_theorem(equivalent(Z_2697,equivalent(Z_2696,X_2698))) ),
inference(resolution,[status(thm)],[c_151594,c_367053]) ).
tff(c_151,plain,
! [Y_4,Z_5,X_3,Y_35] :
( is_a_theorem(equivalent(equivalent(equivalent(Y_4,equivalent(Z_5,X_3)),equivalent(Y_4,Z_5)),Y_35))
| ~ is_a_theorem(equivalent(Y_35,X_3)) ),
inference(resolution,[status(thm)],[c_4,c_136]) ).
tff(c_186270,plain,
! [Z_5,Y_4,X_3] :
( is_a_theorem(equivalent(Z_5,Y_4))
| ~ is_a_theorem(equivalent(equivalent(Y_4,equivalent(Z_5,X_3)),X_3)) ),
inference(resolution,[status(thm)],[c_151,c_185759]) ).
tff(c_440407,plain,
! [Z_2832,Z_2833,X_2834] :
( is_a_theorem(equivalent(Z_2832,Z_2833))
| ~ is_a_theorem(equivalent(equivalent(Z_2832,X_2834),equivalent(Z_2833,X_2834))) ),
inference(resolution,[status(thm)],[c_397020,c_186270]) ).
tff(c_441586,plain,
! [Z_2832,Y_4,Z_5] : is_a_theorem(equivalent(Z_2832,equivalent(Y_4,equivalent(Z_5,equivalent(Z_2832,equivalent(Y_4,Z_5)))))),
inference(resolution,[status(thm)],[c_4,c_440407]) ).
tff(c_367818,plain,
! [Z_1533,Z_1534,X_2596] :
( is_a_theorem(equivalent(equivalent(Z_1533,Z_1534),X_2596))
| ~ is_a_theorem(equivalent(Z_1534,equivalent(Z_1533,X_2596))) ),
inference(resolution,[status(thm)],[c_151594,c_367053]) ).
tff(c_6,plain,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(c,equivalent(b,a)))),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_398723,plain,
~ is_a_theorem(equivalent(equivalent(b,c),equivalent(a,equivalent(c,equivalent(b,a))))),
inference(resolution,[status(thm)],[c_397020,c_6]) ).
tff(c_398778,plain,
~ is_a_theorem(equivalent(c,equivalent(b,equivalent(a,equivalent(c,equivalent(b,a)))))),
inference(resolution,[status(thm)],[c_367818,c_398723]) ).
tff(c_476645,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_441586,c_398778]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL119-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 14:12:48 EDT 2023
% 0.14/0.35 % CPUTime :
% 151.76/127.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 151.76/127.40
% 151.76/127.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 152.00/127.45
% 152.00/127.45 Inference rules
% 152.00/127.45 ----------------------
% 152.00/127.45 #Ref : 0
% 152.00/127.45 #Sup : 109836
% 152.00/127.45 #Fact : 0
% 152.00/127.45 #Define : 0
% 152.00/127.45 #Split : 28
% 152.00/127.45 #Chain : 0
% 152.00/127.45 #Close : 0
% 152.00/127.45
% 152.00/127.45 Ordering : KBO
% 152.00/127.45
% 152.00/127.45 Simplification rules
% 152.00/127.45 ----------------------
% 152.00/127.45 #Subsume : 39475
% 152.00/127.45 #Demod : 17605
% 152.00/127.45 #Tautology : 14246
% 152.00/127.45 #SimpNegUnit : 7773
% 152.00/127.45 #BackRed : 959
% 152.00/127.45
% 152.00/127.45 #Partial instantiations: 0
% 152.00/127.45 #Strategies tried : 1
% 152.00/127.45
% 152.00/127.45 Timing (in seconds)
% 152.00/127.45 ----------------------
% 152.00/127.46 Preprocessing : 0.40
% 152.00/127.46 Parsing : 0.22
% 152.00/127.46 CNF conversion : 0.02
% 152.00/127.46 Main loop : 125.87
% 152.00/127.46 Inferencing : 6.13
% 152.00/127.46 Reduction : 17.66
% 152.00/127.46 Demodulation : 14.83
% 152.00/127.46 BG Simplification : 0.44
% 152.00/127.46 Subsumption : 94.40
% 152.00/127.46 Abstraction : 0.68
% 152.00/127.46 MUC search : 0.00
% 152.00/127.46 Cooper : 0.00
% 152.00/127.46 Total : 126.36
% 152.00/127.46 Index Insertion : 0.00
% 152.00/127.46 Index Deletion : 0.00
% 152.00/127.46 Index Matching : 0.00
% 152.00/127.46 BG Taut test : 0.00
%------------------------------------------------------------------------------