TSTP Solution File: GRP437-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP437-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n026.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 10:41:14 EDT 2023
% Result : Unsatisfiable 26.46s 12.91s
% Output : CNFRefutation 26.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 6
% Syntax : Number of formulae : 74 ( 70 unt; 4 typ; 0 def)
% Number of atoms : 70 ( 69 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 301 (; 301 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > b2 > a2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(b2,type,
b2: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(a2,type,
a2: $i ).
tff(f_23,axiom,
! [A,B,C,D] : ( multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),A))))) = D ),
file(unknown,unknown) ).
tff(f_25,axiom,
multiply(multiply(inverse(b2),b2),a2) != a2,
file(unknown,unknown) ).
tff(c_5,plain,
! [A_5,B_6,C_7,D_8] : ( multiply(A_5,inverse(multiply(B_6,multiply(C_7,multiply(multiply(inverse(C_7),inverse(multiply(D_8,B_6))),A_5))))) = D_8 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_2,plain,
! [A_1,B_2,C_3,D_4] : ( multiply(A_1,inverse(multiply(B_2,multiply(C_3,multiply(multiply(inverse(C_3),inverse(multiply(D_4,B_2))),A_1))))) = D_4 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_36,plain,
! [D_9,C_12,C_11,A_13,B_10] : ( multiply(A_13,inverse(multiply(multiply(C_11,multiply(multiply(inverse(C_11),inverse(multiply(D_9,B_10))),inverse(C_12))),multiply(C_12,multiply(D_9,A_13))))) = B_10 ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_99,plain,
! [D_15,B_14,C_19,C_16,A_18,C_17] : ( multiply(C_16,multiply(multiply(inverse(C_16),inverse(multiply(D_15,B_14))),inverse(C_19))) = multiply(A_18,inverse(multiply(multiply(C_19,multiply(D_15,inverse(C_17))),multiply(C_17,multiply(B_14,A_18))))) ),
inference(superposition,[status(thm),theory(equality)],[c_36,c_2]) ).
tff(c_12,plain,
! [B_6,C_7,D_8,C_3,A_1] : ( multiply(A_1,inverse(multiply(multiply(C_7,multiply(multiply(inverse(C_7),inverse(multiply(D_8,B_6))),inverse(C_3))),multiply(C_3,multiply(D_8,A_1))))) = B_6 ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_158,plain,
! [D_15,A_1,B_14,C_19,A_18,C_17] : ( multiply(A_1,inverse(multiply(multiply(A_18,inverse(multiply(multiply(C_19,multiply(D_15,inverse(C_17))),multiply(C_17,multiply(B_14,A_18))))),multiply(C_19,multiply(D_15,A_1))))) = B_14 ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_12]) ).
tff(c_244,plain,
! [C_16,C_7,D_8,B_6] : ( multiply(C_16,multiply(multiply(inverse(C_16),inverse(multiply(multiply(inverse(C_7),inverse(multiply(D_8,B_6))),D_8))),inverse(C_7))) = B_6 ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_99]) ).
tff(c_22,plain,
! [C_7,B_2,C_3,A_1,D_4,A_5] : ( multiply(A_5,inverse(multiply(inverse(multiply(B_2,multiply(C_3,multiply(multiply(inverse(C_3),inverse(multiply(D_4,B_2))),A_1)))),multiply(C_7,multiply(multiply(inverse(C_7),inverse(D_4)),A_5))))) = A_1 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_5]) ).
tff(c_429,plain,
! [C_26,C_27,D_28,B_29] : ( multiply(C_26,multiply(multiply(inverse(C_26),inverse(multiply(multiply(inverse(C_27),inverse(multiply(D_28,B_29))),D_28))),inverse(C_27))) = B_29 ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_99]) ).
tff(c_502,plain,
! [C_7,B_2,C_3,A_1,D_4,C_26,C_27] : ( multiply(C_7,multiply(multiply(inverse(C_7),inverse(D_4)),inverse(C_27))) = multiply(C_26,multiply(multiply(inverse(C_26),inverse(multiply(A_1,inverse(multiply(B_2,multiply(C_3,multiply(multiply(inverse(C_3),inverse(multiply(D_4,B_2))),A_1))))))),inverse(C_27))) ),
inference(superposition,[status(thm),theory(equality)],[c_22,c_429]) ).
tff(c_537,plain,
! [C_7,D_4,C_27,C_26] : ( multiply(C_7,multiply(multiply(inverse(C_7),inverse(D_4)),inverse(C_27))) = multiply(C_26,multiply(multiply(inverse(C_26),inverse(D_4)),inverse(C_27))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_502]) ).
tff(c_783,plain,
! [C_34,A_37,D_38,B_35,C_36] : ( multiply(inverse(C_36),inverse(multiply(B_35,multiply(A_37,inverse(multiply(multiply(C_36,multiply(D_38,inverse(C_34))),multiply(C_34,multiply(B_35,A_37)))))))) = D_38 ),
inference(superposition,[status(thm),theory(equality)],[c_99,c_2]) ).
tff(c_936,plain,
! [C_39,C_40,D_41,D_42] : ( multiply(inverse(C_39),inverse(multiply(multiply(inverse(C_40),inverse(multiply(D_41,multiply(C_39,multiply(D_42,inverse(C_40)))))),D_41))) = D_42 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_783]) ).
tff(c_3941,plain,
! [C_85,C_86,D_89,D_87,C_88] : ( multiply(inverse(C_85),inverse(multiply(multiply(inverse(C_86),inverse(multiply(D_89,multiply(C_88,multiply(multiply(inverse(C_88),inverse(D_87)),inverse(C_86)))))),D_89))) = multiply(inverse(C_85),inverse(D_87)) ),
inference(superposition,[status(thm),theory(equality)],[c_537,c_936]) ).
tff(c_4058,plain,
! [C_85,C_7,C_86,D_89,C_16,D_87,C_88] : ( multiply(C_16,multiply(multiply(inverse(C_16),inverse(multiply(multiply(inverse(C_7),inverse(multiply(inverse(C_85),inverse(D_87)))),inverse(C_85)))),inverse(C_7))) = inverse(multiply(multiply(inverse(C_86),inverse(multiply(D_89,multiply(C_88,multiply(multiply(inverse(C_88),inverse(D_87)),inverse(C_86)))))),D_89)) ),
inference(superposition,[status(thm),theory(equality)],[c_3941,c_244]) ).
tff(c_4865,plain,
! [C_97,D_98,C_99,D_100] : ( inverse(multiply(multiply(inverse(C_97),inverse(multiply(D_98,multiply(C_99,multiply(multiply(inverse(C_99),inverse(D_100)),inverse(C_97)))))),D_98)) = inverse(D_100) ),
inference(demodulation,[status(thm),theory(equality)],[c_244,c_4058]) ).
tff(c_6344,plain,
! [B_109,C_110,C_111,D_112] : ( inverse(multiply(B_109,multiply(C_110,multiply(multiply(inverse(C_110),inverse(multiply(multiply(inverse(C_111),inverse(D_112)),B_109))),inverse(C_111))))) = inverse(D_112) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_4865]) ).
tff(c_6785,plain,
! [C_110,C_3,D_112,D_4,C_111] : ( inverse(multiply(multiply(C_3,multiply(multiply(inverse(C_3),inverse(multiply(D_4,multiply(inverse(C_111),inverse(D_112))))),inverse(C_110))),multiply(C_110,multiply(D_4,inverse(C_111))))) = inverse(D_112) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_6344]) ).
tff(c_16836,plain,
! [B_183,C_187,D_184,C_185,A_188,B_186,C_189] : ( multiply(inverse(multiply(B_186,multiply(C_187,multiply(multiply(inverse(C_187),inverse(multiply(D_184,B_186))),A_188)))),inverse(multiply(multiply(C_185,multiply(multiply(inverse(C_185),inverse(multiply(A_188,B_183))),inverse(C_189))),multiply(C_189,D_184)))) = B_183 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_36]) ).
tff(c_17913,plain,
! [C_193,D_192,C_194,B_190,D_191] : ( multiply(inverse(multiply(B_190,multiply(C_193,multiply(multiply(inverse(C_193),inverse(multiply(multiply(D_191,inverse(C_194)),B_190))),D_191)))),inverse(D_192)) = multiply(inverse(C_194),inverse(D_192)) ),
inference(superposition,[status(thm),theory(equality)],[c_6785,c_16836]) ).
tff(c_18194,plain,
! [C_193,D_192,D_15,A_1,C_194,C_19,B_190,C_17,D_191] : ( multiply(A_1,inverse(multiply(multiply(inverse(D_192),inverse(multiply(multiply(C_19,multiply(D_15,inverse(C_17))),multiply(C_17,multiply(inverse(C_194),inverse(D_192)))))),multiply(C_19,multiply(D_15,A_1))))) = inverse(multiply(B_190,multiply(C_193,multiply(multiply(inverse(C_193),inverse(multiply(multiply(D_191,inverse(C_194)),B_190))),D_191)))) ),
inference(superposition,[status(thm),theory(equality)],[c_17913,c_158]) ).
tff(c_18870,plain,
! [B_195,C_196,D_197,C_198] : ( inverse(multiply(B_195,multiply(C_196,multiply(multiply(inverse(C_196),inverse(multiply(multiply(D_197,inverse(C_198)),B_195))),D_197)))) = inverse(C_198) ),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_18194]) ).
tff(c_19662,plain,
! [C_200,C_203,C_199,D_201,D_202] : ( inverse(multiply(multiply(C_203,multiply(multiply(inverse(C_203),inverse(multiply(D_201,multiply(D_202,inverse(C_200))))),inverse(C_199))),multiply(C_199,multiply(D_201,D_202)))) = inverse(C_200) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_18870]) ).
tff(c_95,plain,
! [C_12,C_11,B_2,C_3,A_1,B_10,D_4] : ( multiply(inverse(multiply(B_2,multiply(C_3,multiply(multiply(inverse(C_3),inverse(multiply(D_4,B_2))),A_1)))),inverse(multiply(multiply(C_11,multiply(multiply(inverse(C_11),inverse(multiply(A_1,B_10))),inverse(C_12))),multiply(C_12,D_4)))) = B_10 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_36]) ).
tff(c_20515,plain,
! [D_205,D_204,B_206,C_207,C_208] : ( multiply(inverse(multiply(B_206,multiply(C_207,multiply(multiply(inverse(C_207),inverse(multiply(multiply(D_204,D_205),B_206))),D_204)))),inverse(C_208)) = multiply(D_205,inverse(C_208)) ),
inference(superposition,[status(thm),theory(equality)],[c_19662,c_95]) ).
tff(c_20796,plain,
! [D_205,D_15,D_204,A_1,C_19,B_206,C_207,C_17,C_208] : ( multiply(A_1,inverse(multiply(multiply(inverse(C_208),inverse(multiply(multiply(C_19,multiply(D_15,inverse(C_17))),multiply(C_17,multiply(D_205,inverse(C_208)))))),multiply(C_19,multiply(D_15,A_1))))) = inverse(multiply(B_206,multiply(C_207,multiply(multiply(inverse(C_207),inverse(multiply(multiply(D_204,D_205),B_206))),D_204)))) ),
inference(superposition,[status(thm),theory(equality)],[c_20515,c_158]) ).
tff(c_21433,plain,
! [B_206,C_207,D_204,D_205] : ( inverse(multiply(B_206,multiply(C_207,multiply(multiply(inverse(C_207),inverse(multiply(multiply(D_204,D_205),B_206))),D_204)))) = D_205 ),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_20796]) ).
tff(c_21467,plain,
! [B_209,C_210,D_211,D_212] : ( inverse(multiply(B_209,multiply(C_210,multiply(multiply(inverse(C_210),inverse(multiply(multiply(D_211,D_212),B_209))),D_211)))) = D_212 ),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_20796]) ).
tff(c_21783,plain,
! [B_6,D_8,B_209,C_210,D_212,C_16,D_211] : ( multiply(C_16,multiply(multiply(inverse(C_16),inverse(multiply(multiply(D_212,inverse(multiply(D_8,B_6))),D_8))),inverse(multiply(B_209,multiply(C_210,multiply(multiply(inverse(C_210),inverse(multiply(multiply(D_211,D_212),B_209))),D_211)))))) = B_6 ),
inference(superposition,[status(thm),theory(equality)],[c_21467,c_244]) ).
tff(c_26589,plain,
! [C_233,D_234,D_235,B_236] : ( multiply(C_233,multiply(multiply(inverse(C_233),inverse(multiply(multiply(D_234,inverse(multiply(D_235,B_236))),D_235))),D_234)) = B_236 ),
inference(demodulation,[status(thm),theory(equality)],[c_21433,c_21783]) ).
tff(c_1066,plain,
! [A_46,C_43,D_45,C_44,D_47] : ( multiply(inverse(C_43),inverse(multiply(D_47,multiply(C_44,multiply(D_45,inverse(C_43)))))) = multiply(A_46,inverse(multiply(D_47,multiply(C_44,multiply(D_45,A_46))))) ),
inference(superposition,[status(thm),theory(equality)],[c_936,c_2]) ).
tff(c_1300,plain,
! [A_46,C_43,A_1,D_45,C_44,D_47] : ( multiply(A_1,inverse(multiply(multiply(C_44,multiply(D_45,inverse(C_43))),multiply(C_43,multiply(multiply(A_46,inverse(multiply(D_47,multiply(C_44,multiply(D_45,A_46))))),A_1))))) = D_47 ),
inference(superposition,[status(thm),theory(equality)],[c_1066,c_2]) ).
tff(c_22239,plain,
! [C_215,A_218,A_213,C_217,B_216,D_214,C_219] : ( multiply(A_213,inverse(multiply(multiply(C_215,multiply(multiply(inverse(C_215),inverse(D_214)),inverse(C_219))),multiply(C_219,multiply(A_218,A_213))))) = inverse(multiply(B_216,multiply(C_217,multiply(multiply(inverse(C_217),inverse(multiply(D_214,B_216))),A_218)))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_36]) ).
tff(c_23924,plain,
! [C_221,C_224,A_223,A_220,D_222] : ( multiply(A_223,multiply(A_220,inverse(multiply(multiply(C_224,multiply(multiply(inverse(C_224),inverse(D_222)),inverse(C_221))),multiply(C_221,multiply(A_223,A_220)))))) = D_222 ),
inference(superposition,[status(thm),theory(equality)],[c_22239,c_2]) ).
tff(c_24625,plain,
! [A_46,D_47,C_44,D_222] : ( multiply(multiply(A_46,inverse(multiply(D_47,multiply(C_44,multiply(multiply(inverse(C_44),inverse(D_222)),A_46))))),D_47) = D_222 ),
inference(superposition,[status(thm),theory(equality)],[c_1300,c_23924]) ).
tff(c_27402,plain,
! [D_237,D_240,B_239,D_238] : ( multiply(multiply(D_237,inverse(multiply(D_240,B_239))),D_240) = multiply(multiply(D_237,inverse(multiply(D_238,B_239))),D_238) ),
inference(superposition,[status(thm),theory(equality)],[c_26589,c_24625]) ).
tff(c_28519,plain,
! [D_238,B_239,C_3,D_240] : ( multiply(D_238,inverse(multiply(B_239,multiply(C_3,multiply(multiply(inverse(C_3),inverse(multiply(D_240,B_239))),D_240))))) = D_238 ),
inference(superposition,[status(thm),theory(equality)],[c_27402,c_2]) ).
tff(c_30758,plain,
! [D_245,B_246,C_247,D_248] : ( multiply(D_245,inverse(multiply(B_246,multiply(C_247,multiply(multiply(inverse(C_247),inverse(multiply(D_248,B_246))),D_248))))) = D_245 ),
inference(superposition,[status(thm),theory(equality)],[c_27402,c_2]) ).
tff(c_26613,plain,
! [D_234,D_47,B_236,D_235] : ( multiply(multiply(D_234,inverse(multiply(D_47,B_236))),D_47) = multiply(multiply(D_234,inverse(multiply(D_235,B_236))),D_235) ),
inference(superposition,[status(thm),theory(equality)],[c_26589,c_24625]) ).
tff(c_30791,plain,
! [D_245,D_234,D_248,C_247,D_235,B_246] : ( multiply(multiply(D_234,inverse(multiply(D_235,inverse(multiply(B_246,multiply(C_247,multiply(multiply(inverse(C_247),inverse(multiply(D_248,B_246))),D_248))))))),D_235) = multiply(multiply(D_234,inverse(D_245)),D_245) ),
inference(superposition,[status(thm),theory(equality)],[c_30758,c_26613]) ).
tff(c_33893,plain,
! [D_254,D_256,D_255] : ( multiply(multiply(D_254,inverse(D_256)),D_256) = multiply(multiply(D_254,inverse(D_255)),D_255) ),
inference(demodulation,[status(thm),theory(equality)],[c_28519,c_30791]) ).
tff(c_40268,plain,
! [D_270,B_271,C_272,D_273] : ( multiply(multiply(D_270,B_271),inverse(multiply(B_271,multiply(C_272,multiply(multiply(inverse(C_272),inverse(D_273)),D_273))))) = D_270 ),
inference(superposition,[status(thm),theory(equality)],[c_33893,c_2]) ).
tff(c_1003,plain,
! [C_39,D_41,A_1,D_42,C_40] : ( multiply(inverse(C_40),inverse(multiply(D_41,multiply(C_39,multiply(D_42,inverse(C_40)))))) = multiply(A_1,inverse(multiply(D_41,multiply(C_39,multiply(D_42,A_1))))) ),
inference(superposition,[status(thm),theory(equality)],[c_936,c_2]) ).
tff(c_1323,plain,
! [A_46,C_39,D_41,A_1,D_42] : ( multiply(A_46,inverse(multiply(D_41,multiply(C_39,multiply(D_42,A_46))))) = multiply(A_1,inverse(multiply(D_41,multiply(C_39,multiply(D_42,A_1))))) ),
inference(superposition,[status(thm),theory(equality)],[c_1003,c_1066]) ).
tff(c_5139,plain,
! [A_46,D_41,C_39,D_100] : ( inverse(multiply(multiply(A_46,inverse(multiply(D_41,multiply(C_39,multiply(multiply(inverse(C_39),inverse(D_100)),A_46))))),D_41)) = inverse(D_100) ),
inference(superposition,[status(thm),theory(equality)],[c_1323,c_4865]) ).
tff(c_21659,plain,
! [A_46,C_39,D_41,B_209,C_210,D_212,D_211] : ( inverse(multiply(multiply(A_46,inverse(multiply(D_41,multiply(C_39,multiply(multiply(inverse(C_39),D_212),A_46))))),D_41)) = inverse(multiply(B_209,multiply(C_210,multiply(multiply(inverse(C_210),inverse(multiply(multiply(D_211,D_212),B_209))),D_211)))) ),
inference(superposition,[status(thm),theory(equality)],[c_21467,c_5139]) ).
tff(c_22201,plain,
! [A_46,D_41,C_39,D_212] : ( inverse(multiply(multiply(A_46,inverse(multiply(D_41,multiply(C_39,multiply(multiply(inverse(C_39),D_212),A_46))))),D_41)) = D_212 ),
inference(demodulation,[status(thm),theory(equality)],[c_21433,c_21659]) ).
tff(c_27060,plain,
! [C_39,D_212,A_46,C_233] : ( multiply(C_39,multiply(multiply(inverse(C_39),D_212),A_46)) = multiply(C_233,multiply(multiply(inverse(C_233),D_212),A_46)) ),
inference(superposition,[status(thm),theory(equality)],[c_22201,c_26589]) ).
tff(c_30776,plain,
! [A_46,C_39,C_233,D_248,C_247,B_246] : ( multiply(C_39,multiply(inverse(C_39),A_46)) = multiply(C_233,multiply(multiply(inverse(C_233),inverse(multiply(B_246,multiply(C_247,multiply(multiply(inverse(C_247),inverse(multiply(D_248,B_246))),D_248))))),A_46)) ),
inference(superposition,[status(thm),theory(equality)],[c_30758,c_27060]) ).
tff(c_31769,plain,
! [C_251,A_250,C_249] : ( multiply(C_251,multiply(inverse(C_251),A_250)) = multiply(C_249,multiply(inverse(C_249),A_250)) ),
inference(demodulation,[status(thm),theory(equality)],[c_28519,c_30776]) ).
tff(c_32775,plain,
! [C_249,C_3,B_239,D_240,C_251] : ( multiply(C_251,inverse(C_251)) = multiply(C_249,multiply(inverse(C_249),inverse(multiply(B_239,multiply(C_3,multiply(multiply(inverse(C_3),inverse(multiply(D_240,B_239))),D_240)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_28519,c_31769]) ).
tff(c_33082,plain,
! [C_251,C_249] : ( multiply(C_251,inverse(C_251)) = multiply(C_249,inverse(C_249)) ),
inference(demodulation,[status(thm),theory(equality)],[c_28519,c_32775]) ).
tff(c_41227,plain,
! [C_276,C_274,D_275] : ( multiply(C_276,inverse(C_276)) = multiply(C_274,multiply(multiply(inverse(C_274),inverse(D_275)),D_275)) ),
inference(superposition,[status(thm),theory(equality)],[c_40268,c_33082]) ).
tff(c_41443,plain,
! [D_275,D_47,C_276] : ( multiply(multiply(D_275,inverse(multiply(D_47,multiply(C_276,inverse(C_276))))),D_47) = D_275 ),
inference(superposition,[status(thm),theory(equality)],[c_41227,c_24625]) ).
tff(c_43122,plain,
! [D_280,D_281,C_282] : ( multiply(multiply(D_280,inverse(multiply(D_281,multiply(C_282,inverse(C_282))))),D_281) = D_280 ),
inference(superposition,[status(thm),theory(equality)],[c_41227,c_24625]) ).
tff(c_43257,plain,
! [D_281,D_47,C_44,C_282] : ( multiply(multiply(D_281,inverse(multiply(D_47,multiply(C_44,inverse(C_44))))),D_47) = multiply(D_281,multiply(C_282,inverse(C_282))) ),
inference(superposition,[status(thm),theory(equality)],[c_43122,c_24625]) ).
tff(c_44006,plain,
! [D_281,C_282] : ( multiply(D_281,multiply(C_282,inverse(C_282))) = D_281 ),
inference(demodulation,[status(thm),theory(equality)],[c_41443,c_43257]) ).
tff(c_44020,plain,
! [D_275,D_47] : ( multiply(multiply(D_275,inverse(D_47)),D_47) = D_275 ),
inference(demodulation,[status(thm),theory(equality)],[c_44006,c_41443]) ).
tff(c_34865,plain,
! [D_4,B_2,C_3,D_255] : ( multiply(multiply(D_4,B_2),inverse(multiply(B_2,multiply(C_3,multiply(multiply(inverse(C_3),inverse(D_255)),D_255))))) = D_4 ),
inference(superposition,[status(thm),theory(equality)],[c_33893,c_2]) ).
tff(c_41240,plain,
! [D_4,B_2,C_276] : ( multiply(multiply(D_4,B_2),inverse(multiply(B_2,multiply(C_276,inverse(C_276))))) = D_4 ),
inference(superposition,[status(thm),theory(equality)],[c_41227,c_34865]) ).
tff(c_45443,plain,
! [D_287,B_288] : ( multiply(multiply(D_287,B_288),inverse(B_288)) = D_287 ),
inference(demodulation,[status(thm),theory(equality)],[c_44006,c_41240]) ).
tff(c_45513,plain,
! [B_288,D_41,C_39] : ( inverse(multiply(multiply(inverse(B_288),inverse(multiply(D_41,multiply(C_39,inverse(C_39))))),D_41)) = B_288 ),
inference(superposition,[status(thm),theory(equality)],[c_45443,c_22201]) ).
tff(c_45958,plain,
! [B_288] : ( inverse(inverse(B_288)) = B_288 ),
inference(demodulation,[status(thm),theory(equality)],[c_44020,c_44006,c_45513]) ).
tff(c_34905,plain,
! [C_251,D_256,C_249] : ( multiply(multiply(C_251,inverse(D_256)),D_256) = multiply(multiply(C_249,inverse(C_249)),C_251) ),
inference(superposition,[status(thm),theory(equality)],[c_33082,c_33893]) ).
tff(c_46300,plain,
! [C_290,C_291] : ( multiply(multiply(C_290,inverse(C_290)),C_291) = C_291 ),
inference(demodulation,[status(thm),theory(equality)],[c_44020,c_34905]) ).
tff(c_47133,plain,
! [B_288,C_291] : ( multiply(multiply(inverse(B_288),B_288),C_291) = C_291 ),
inference(superposition,[status(thm),theory(equality)],[c_45958,c_46300]) ).
tff(c_4,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_48934,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47133,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP437-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13 % 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
% 0.14/0.35 % Computer : n026.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 22:26:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 26.46/12.91 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.46/12.92
% 26.46/12.92 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 26.63/12.97
% 26.63/12.97 Inference rules
% 26.63/12.97 ----------------------
% 26.63/12.97 #Ref : 0
% 26.63/12.97 #Sup : 13955
% 26.63/12.97 #Fact : 0
% 26.63/12.97 #Define : 0
% 26.63/12.97 #Split : 0
% 26.63/12.97 #Chain : 0
% 26.63/12.97 #Close : 0
% 26.63/12.97
% 26.63/12.97 Ordering : KBO
% 26.63/12.97
% 26.63/12.97 Simplification rules
% 26.63/12.97 ----------------------
% 26.63/12.97 #Subsume : 508
% 26.63/12.97 #Demod : 1757
% 26.63/12.97 #Tautology : 1184
% 26.63/12.97 #SimpNegUnit : 0
% 26.63/12.97 #BackRed : 6
% 26.63/12.97
% 26.63/12.97 #Partial instantiations: 0
% 26.63/12.97 #Strategies tried : 1
% 26.63/12.97
% 26.63/12.97 Timing (in seconds)
% 26.63/12.97 ----------------------
% 26.63/12.98 Preprocessing : 0.46
% 26.63/12.98 Parsing : 0.26
% 26.63/12.98 CNF conversion : 0.02
% 26.63/12.98 Main loop : 11.31
% 26.63/12.98 Inferencing : 3.76
% 26.63/12.98 Reduction : 5.70
% 26.63/12.98 Demodulation : 5.45
% 26.63/12.98 BG Simplification : 0.68
% 26.63/12.98 Subsumption : 0.83
% 26.63/12.98 Abstraction : 0.92
% 26.63/12.98 MUC search : 0.00
% 26.63/12.98 Cooper : 0.00
% 26.63/12.98 Total : 11.85
% 26.63/12.98 Index Insertion : 0.00
% 26.63/12.98 Index Deletion : 0.00
% 26.63/12.98 Index Matching : 0.00
% 26.63/12.98 BG Taut test : 0.00
%------------------------------------------------------------------------------