TSTP Solution File: GRP685+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP685+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n004.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 10:41:56 EDT 2023
% Result : Theorem 38.44s 23.96s
% Output : CNFRefutation 38.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 17
% Syntax : Number of formulae : 158 ( 146 unt; 9 typ; 0 def)
% Number of atoms : 152 ( 150 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 10 ~; 2 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 352 (; 352 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rd > mult > ld > #nlpp > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(ld,type,
ld: ( $i * $i ) > $i ).
tff(rd,type,
rd: ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(f_28,axiom,
! [A] : ( ld(A,mult(A,A)) = A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
tff(f_32,axiom,
! [B,A] : ( mult(A,ld(A,B)) = ld(A,mult(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
tff(f_34,axiom,
! [B,A] : ( mult(rd(A,B),B) = rd(mult(A,B),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
tff(f_30,axiom,
! [A] : ( rd(mult(A,A),A) = A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
tff(f_40,axiom,
! [B,A] : ( ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
tff(f_38,axiom,
! [D,C,B,A] : ( rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
tff(f_36,axiom,
! [D,C,B,A] : ( ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
tff(f_45,negated_conjecture,
~ ! [X6,X7,X8] :
( ( rd(mult(X6,ld(X7,X8)),ld(X7,X8)) = rd(mult(X6,X8),X8) )
& ( rd(mult(X6,rd(X7,X8)),rd(X7,X8)) = rd(mult(X6,X8),X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tff(c_2,plain,
! [A_1] : ( ld(A_1,mult(A_1,A_1)) = A_1 ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_6,plain,
! [A_4,B_3] : ( mult(A_4,ld(A_4,B_3)) = ld(A_4,mult(A_4,B_3)) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_49,plain,
! [A_21,B_22] : ( rd(mult(A_21,B_22),B_22) = mult(rd(A_21,B_22),B_22) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_14998,plain,
! [A_286,B_287] : ( rd(ld(A_286,mult(A_286,B_287)),ld(A_286,B_287)) = mult(rd(A_286,ld(A_286,B_287)),ld(A_286,B_287)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_49]) ).
tff(c_15161,plain,
! [A_288] : ( mult(rd(A_288,ld(A_288,A_288)),ld(A_288,A_288)) = rd(A_288,ld(A_288,A_288)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_14998]) ).
tff(c_4,plain,
! [A_2] : ( rd(mult(A_2,A_2),A_2) = A_2 ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_56,plain,
! [B_22] : ( mult(rd(B_22,B_22),B_22) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_49,c_4]) ).
tff(c_80,plain,
! [A_24,B_25] : ( rd(mult(rd(A_24,A_24),B_25),B_25) = ld(A_24,mult(A_24,ld(B_25,B_25))) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_96,plain,
! [B_22] : ( ld(B_22,mult(B_22,ld(B_22,B_22))) = rd(B_22,B_22) ),
inference(superposition,[status(thm),theory(equality)],[c_56,c_80]) ).
tff(c_111,plain,
! [B_22] : ( rd(B_22,B_22) = ld(B_22,B_22) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_96]) ).
tff(c_114,plain,
! [B_22] : ( mult(ld(B_22,B_22),B_22) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_56]) ).
tff(c_8,plain,
! [A_6,B_5] : ( rd(mult(A_6,B_5),B_5) = mult(rd(A_6,B_5),B_5) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_12,plain,
! [A_14,B_13,C_12,D_11] : ( rd(mult(mult(A_14,B_13),rd(C_12,D_11)),rd(C_12,D_11)) = mult(A_14,rd(mult(B_13,D_11),D_11)) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_11861,plain,
! [A_212,B_213,C_214,D_215] : ( rd(mult(mult(A_212,B_213),rd(C_214,D_215)),rd(C_214,D_215)) = mult(A_212,mult(rd(B_213,D_215),D_215)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12]) ).
tff(c_11915,plain,
! [A_212,B_213,A_2] : ( rd(mult(mult(A_212,B_213),rd(mult(A_2,A_2),A_2)),A_2) = mult(A_212,mult(rd(B_213,A_2),A_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_11861]) ).
tff(c_11983,plain,
! [A_219,B_220,A_221] : ( mult(rd(mult(A_219,B_220),A_221),A_221) = mult(A_219,mult(rd(B_220,A_221),A_221)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_114,c_111,c_8,c_11915]) ).
tff(c_12026,plain,
! [A_6,B_5] : ( mult(mult(rd(A_6,B_5),B_5),B_5) = mult(A_6,mult(rd(B_5,B_5),B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_11983]) ).
tff(c_12042,plain,
! [A_6,B_5] : ( mult(mult(rd(A_6,B_5),B_5),B_5) = mult(A_6,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_111,c_12026]) ).
tff(c_15207,plain,
! [A_288] : ( mult(rd(A_288,ld(A_288,A_288)),ld(A_288,A_288)) = mult(A_288,ld(A_288,A_288)) ),
inference(superposition,[status(thm),theory(equality)],[c_15161,c_12042]) ).
tff(c_15255,plain,
! [A_288] : ( mult(rd(A_288,ld(A_288,A_288)),ld(A_288,A_288)) = A_288 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_15207]) ).
tff(c_15130,plain,
! [A_1] : ( mult(rd(A_1,ld(A_1,A_1)),ld(A_1,A_1)) = rd(A_1,ld(A_1,A_1)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_14998]) ).
tff(c_15264,plain,
! [A_1] : ( rd(A_1,ld(A_1,A_1)) = A_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_15255,c_15130]) ).
tff(c_12019,plain,
! [B_22,A_221] : ( mult(ld(B_22,B_22),mult(rd(B_22,A_221),A_221)) = mult(rd(B_22,A_221),A_221) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_11983]) ).
tff(c_12696,plain,
! [A_244,B_245,C_246,D_247] : ( mult(rd(mult(A_244,B_245),rd(C_246,D_247)),rd(C_246,D_247)) = mult(A_244,mult(rd(B_245,D_247),D_247)) ),
inference(superposition,[status(thm),theory(equality)],[c_11861,c_8]) ).
tff(c_12791,plain,
! [B_22,C_246,D_247] : ( mult(rd(B_22,rd(C_246,D_247)),rd(C_246,D_247)) = mult(ld(B_22,B_22),mult(rd(B_22,D_247),D_247)) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_12696]) ).
tff(c_12840,plain,
! [B_22,C_246,D_247] : ( mult(rd(B_22,rd(C_246,D_247)),rd(C_246,D_247)) = mult(rd(B_22,D_247),D_247) ),
inference(demodulation,[status(thm),theory(equality)],[c_12019,c_12791]) ).
tff(c_12154,plain,
! [A_226,B_227,C_228,D_229] : ( ld(ld(A_226,B_227),mult(ld(A_226,B_227),mult(C_228,D_229))) = mult(ld(A_226,mult(A_226,C_228)),D_229) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_12240,plain,
! [A_1,C_228,D_229] : ( ld(A_1,mult(ld(A_1,mult(A_1,A_1)),mult(C_228,D_229))) = mult(ld(A_1,mult(A_1,C_228)),D_229) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_12154]) ).
tff(c_12266,plain,
! [A_230,C_231,D_232] : ( mult(ld(A_230,mult(A_230,C_231)),D_232) = ld(A_230,mult(A_230,mult(C_231,D_232))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12240]) ).
tff(c_12363,plain,
! [A_1,D_232] : ( ld(A_1,mult(A_1,mult(A_1,D_232))) = mult(A_1,D_232) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_12266]) ).
tff(c_100,plain,
! [A_24,B_5] : ( mult(rd(rd(A_24,A_24),B_5),B_5) = ld(A_24,mult(A_24,ld(B_5,B_5))) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_80]) ).
tff(c_11930,plain,
! [A_24,B_5] : ( mult(rd(ld(A_24,A_24),B_5),B_5) = ld(A_24,mult(A_24,ld(B_5,B_5))) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_100]) ).
tff(c_15576,plain,
! [A_292] : ( mult(A_292,ld(A_292,A_292)) = A_292 ),
inference(demodulation,[status(thm),theory(equality)],[c_15264,c_15255]) ).
tff(c_11873,plain,
! [A_212,B_213,C_214,D_215] : ( mult(rd(mult(A_212,B_213),rd(C_214,D_215)),rd(C_214,D_215)) = mult(A_212,mult(rd(B_213,D_215),D_215)) ),
inference(superposition,[status(thm),theory(equality)],[c_11861,c_8]) ).
tff(c_15623,plain,
! [A_292,C_214,D_215] : ( mult(rd(A_292,rd(C_214,D_215)),rd(C_214,D_215)) = mult(A_292,mult(rd(ld(A_292,A_292),D_215),D_215)) ),
inference(superposition,[status(thm),theory(equality)],[c_15576,c_11873]) ).
tff(c_15682,plain,
! [A_292,D_215] : ( mult(rd(A_292,D_215),D_215) = mult(A_292,ld(D_215,D_215)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12840,c_12363,c_6,c_11930,c_15623]) ).
tff(c_13697,plain,
! [B_263,C_264,D_265] : ( mult(rd(B_263,rd(C_264,D_265)),rd(C_264,D_265)) = mult(rd(B_263,D_265),D_265) ),
inference(demodulation,[status(thm),theory(equality)],[c_12019,c_12791]) ).
tff(c_13735,plain,
! [B_263,D_265,C_264] : ( mult(mult(rd(B_263,D_265),D_265),rd(C_264,D_265)) = mult(B_263,rd(C_264,D_265)) ),
inference(superposition,[status(thm),theory(equality)],[c_13697,c_12042]) ).
tff(c_17545,plain,
! [B_263,D_265,C_264] : ( mult(mult(B_263,ld(D_265,D_265)),rd(C_264,D_265)) = mult(B_263,rd(C_264,D_265)) ),
inference(demodulation,[status(thm),theory(equality)],[c_15682,c_13735]) ).
tff(c_15709,plain,
! [A_6,B_5] : ( rd(mult(A_6,B_5),B_5) = mult(A_6,ld(B_5,B_5)) ),
inference(demodulation,[status(thm),theory(equality)],[c_15682,c_8]) ).
tff(c_17,plain,
! [A_14,B_13,C_12,D_11] : ( rd(mult(mult(A_14,B_13),rd(C_12,D_11)),rd(C_12,D_11)) = mult(A_14,mult(rd(B_13,D_11),D_11)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12]) ).
tff(c_15646,plain,
! [A_292,C_12,D_11] : ( rd(mult(A_292,rd(C_12,D_11)),rd(C_12,D_11)) = mult(A_292,mult(rd(ld(A_292,A_292),D_11),D_11)) ),
inference(superposition,[status(thm),theory(equality)],[c_15576,c_17]) ).
tff(c_20817,plain,
! [A_359,C_360,D_361] : ( rd(mult(A_359,rd(C_360,D_361)),rd(C_360,D_361)) = mult(A_359,ld(D_361,D_361)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12363,c_6,c_11930,c_15646]) ).
tff(c_20929,plain,
! [A_6,C_360,D_361] : ( mult(A_6,ld(rd(C_360,D_361),rd(C_360,D_361))) = mult(A_6,ld(D_361,D_361)) ),
inference(superposition,[status(thm),theory(equality)],[c_15709,c_20817]) ).
tff(c_12263,plain,
! [A_1,C_228,D_229] : ( mult(ld(A_1,mult(A_1,C_228)),D_229) = ld(A_1,mult(A_1,mult(C_228,D_229))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_12240]) ).
tff(c_10,plain,
! [A_10,B_9,C_8,D_7] : ( ld(ld(A_10,B_9),mult(ld(A_10,B_9),mult(C_8,D_7))) = mult(ld(A_10,mult(A_10,C_8)),D_7) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_13392,plain,
! [A_257,B_258,C_259,D_260] : ( ld(ld(A_257,B_258),mult(ld(A_257,B_258),mult(C_259,D_260))) = ld(A_257,mult(A_257,mult(C_259,D_260))) ),
inference(demodulation,[status(thm),theory(equality)],[c_12263,c_10]) ).
tff(c_13519,plain,
! [A_257,B_258,B_22] : ( ld(ld(A_257,B_258),mult(ld(A_257,B_258),B_22)) = ld(A_257,mult(A_257,mult(ld(B_22,B_22),B_22))) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_13392]) ).
tff(c_14189,plain,
! [A_273,B_274,B_275] : ( ld(ld(A_273,B_274),mult(ld(A_273,B_274),B_275)) = ld(A_273,mult(A_273,B_275)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_13519]) ).
tff(c_14223,plain,
! [A_273,B_274] : ( ld(A_273,mult(A_273,ld(A_273,B_274))) = ld(A_273,B_274) ),
inference(superposition,[status(thm),theory(equality)],[c_14189,c_2]) ).
tff(c_14327,plain,
! [A_273,B_274] : ( ld(A_273,ld(A_273,mult(A_273,B_274))) = ld(A_273,B_274) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_14223]) ).
tff(c_14295,plain,
! [A_1,D_232,B_275] : ( ld(ld(A_1,mult(A_1,mult(A_1,D_232))),mult(mult(A_1,D_232),B_275)) = ld(A_1,mult(A_1,B_275)) ),
inference(superposition,[status(thm),theory(equality)],[c_12363,c_14189]) ).
tff(c_14346,plain,
! [A_1,D_232,B_275] : ( ld(mult(A_1,D_232),mult(mult(A_1,D_232),B_275)) = ld(A_1,mult(A_1,B_275)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12363,c_14295]) ).
tff(c_14526,plain,
! [A_279,D_280,B_281] : ( ld(mult(A_279,D_280),mult(mult(A_279,D_280),B_281)) = ld(A_279,mult(A_279,B_281)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12363,c_14295]) ).
tff(c_14651,plain,
! [A_6,B_5,B_281] : ( ld(mult(mult(rd(A_6,B_5),B_5),B_5),mult(mult(A_6,B_5),B_281)) = ld(mult(rd(A_6,B_5),B_5),mult(mult(rd(A_6,B_5),B_5),B_281)) ),
inference(superposition,[status(thm),theory(equality)],[c_12042,c_14526]) ).
tff(c_20005,plain,
! [A_352,B_353,B_354] : ( ld(rd(A_352,B_353),mult(rd(A_352,B_353),B_354)) = ld(A_352,mult(A_352,B_354)) ),
inference(demodulation,[status(thm),theory(equality)],[c_14346,c_14346,c_12042,c_14651]) ).
tff(c_20181,plain,
! [A_352,B_353,B_3] : ( ld(rd(A_352,B_353),ld(rd(A_352,B_353),mult(rd(A_352,B_353),B_3))) = ld(A_352,mult(A_352,ld(rd(A_352,B_353),B_3))) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_20005]) ).
tff(c_32977,plain,
! [A_448,B_449,B_450] : ( ld(A_448,mult(A_448,ld(rd(A_448,B_449),B_450))) = ld(rd(A_448,B_449),B_450) ),
inference(demodulation,[status(thm),theory(equality)],[c_14327,c_20181]) ).
tff(c_33097,plain,
! [C_360,D_361] : ( ld(rd(C_360,D_361),rd(C_360,D_361)) = ld(C_360,mult(C_360,ld(D_361,D_361))) ),
inference(superposition,[status(thm),theory(equality)],[c_20929,c_32977]) ).
tff(c_38812,plain,
! [A_6,C_360,D_361] : ( mult(A_6,ld(C_360,mult(C_360,ld(D_361,D_361)))) = mult(A_6,ld(D_361,D_361)) ),
inference(demodulation,[status(thm),theory(equality)],[c_33097,c_20929]) ).
tff(c_14,plain,
! [A_16,B_15] : ( rd(mult(rd(A_16,A_16),B_15),B_15) = ld(A_16,mult(A_16,ld(B_15,B_15))) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_12103,plain,
! [A_224,B_225] : ( rd(mult(ld(A_224,A_224),B_225),B_225) = ld(A_224,mult(A_224,ld(B_225,B_225))) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_14]) ).
tff(c_11928,plain,
! [A_212,B_213,A_2] : ( mult(rd(mult(A_212,B_213),A_2),A_2) = mult(A_212,mult(rd(B_213,A_2),A_2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_114,c_111,c_8,c_11915]) ).
tff(c_12112,plain,
! [A_224,B_225] : ( mult(ld(A_224,mult(A_224,ld(B_225,B_225))),B_225) = mult(ld(A_224,A_224),mult(rd(B_225,B_225),B_225)) ),
inference(superposition,[status(thm),theory(equality)],[c_12103,c_11928]) ).
tff(c_13041,plain,
! [A_250,B_251] : ( mult(ld(A_250,mult(A_250,ld(B_251,B_251))),B_251) = mult(ld(A_250,A_250),B_251) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_111,c_12112]) ).
tff(c_13069,plain,
! [A_250,B_251] : ( ld(A_250,mult(A_250,mult(ld(B_251,B_251),B_251))) = mult(ld(A_250,A_250),B_251) ),
inference(superposition,[status(thm),theory(equality)],[c_13041,c_12263]) ).
tff(c_13136,plain,
! [A_250,B_251] : ( mult(ld(A_250,A_250),B_251) = ld(A_250,mult(A_250,B_251)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_13069]) ).
tff(c_13800,plain,
! [C_264,D_265] : ( mult(ld(rd(C_264,D_265),rd(C_264,D_265)),rd(C_264,D_265)) = mult(rd(rd(C_264,D_265),D_265),D_265) ),
inference(superposition,[status(thm),theory(equality)],[c_111,c_13697]) ).
tff(c_13848,plain,
! [C_264,D_265] : ( mult(rd(rd(C_264,D_265),D_265),D_265) = rd(C_264,D_265) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_13800]) ).
tff(c_12779,plain,
! [A_14,B_13,D_11,C_12] : ( mult(mult(A_14,mult(rd(B_13,D_11),D_11)),rd(C_12,D_11)) = mult(mult(A_14,B_13),mult(rd(rd(C_12,D_11),D_11),D_11)) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_12696]) ).
tff(c_45950,plain,
! [A_524,B_525,D_526,C_527] : ( mult(mult(A_524,mult(B_525,ld(D_526,D_526))),rd(C_527,D_526)) = mult(mult(A_524,B_525),rd(C_527,D_526)) ),
inference(demodulation,[status(thm),theory(equality)],[c_15682,c_13848,c_12779]) ).
tff(c_46301,plain,
! [A_524,A_250,D_526,C_527] : ( mult(mult(A_524,ld(A_250,mult(A_250,ld(D_526,D_526)))),rd(C_527,D_526)) = mult(mult(A_524,ld(A_250,A_250)),rd(C_527,D_526)) ),
inference(superposition,[status(thm),theory(equality)],[c_13136,c_45950]) ).
tff(c_46452,plain,
! [A_528,A_529,C_530,D_531] : ( mult(mult(A_528,ld(A_529,A_529)),rd(C_530,D_531)) = mult(A_528,rd(C_530,D_531)) ),
inference(demodulation,[status(thm),theory(equality)],[c_17545,c_38812,c_46301]) ).
tff(c_46745,plain,
! [A_528,A_529,A_1] : ( mult(mult(A_528,ld(A_529,A_529)),A_1) = mult(A_528,rd(A_1,ld(A_1,A_1))) ),
inference(superposition,[status(thm),theory(equality)],[c_15264,c_46452]) ).
tff(c_46869,plain,
! [A_528,A_529,A_1] : ( mult(mult(A_528,ld(A_529,A_529)),A_1) = mult(A_528,A_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_15264,c_46745]) ).
tff(c_12379,plain,
! [A_233,D_234] : ( ld(A_233,mult(A_233,mult(A_233,D_234))) = mult(A_233,D_234) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_12266]) ).
tff(c_12385,plain,
! [A_233,D_234,D_229] : ( ld(A_233,mult(A_233,mult(mult(A_233,D_234),D_229))) = mult(mult(A_233,D_234),D_229) ),
inference(superposition,[status(thm),theory(equality)],[c_12379,c_12263]) ).
tff(c_14219,plain,
! [A_273,B_274,B_275] : ( ld(ld(A_273,B_274),mult(ld(A_273,B_274),mult(ld(A_273,B_274),B_275))) = mult(ld(A_273,B_274),ld(A_273,mult(A_273,B_275))) ),
inference(superposition,[status(thm),theory(equality)],[c_14189,c_6]) ).
tff(c_17802,plain,
! [A_328,B_329,B_330] : ( mult(ld(A_328,B_329),ld(A_328,mult(A_328,B_330))) = mult(ld(A_328,B_329),B_330) ),
inference(demodulation,[status(thm),theory(equality)],[c_12363,c_14219]) ).
tff(c_17971,plain,
! [A_1,D_232,B_330] : ( mult(ld(A_1,mult(A_1,mult(A_1,D_232))),B_330) = mult(mult(A_1,D_232),ld(A_1,mult(A_1,B_330))) ),
inference(superposition,[status(thm),theory(equality)],[c_12363,c_17802]) ).
tff(c_18041,plain,
! [A_1,D_232,B_330] : ( mult(mult(A_1,D_232),ld(A_1,mult(A_1,B_330))) = mult(mult(A_1,D_232),B_330) ),
inference(demodulation,[status(thm),theory(equality)],[c_12385,c_12263,c_17971]) ).
tff(c_46886,plain,
! [A_532,A_533,A_534] : ( mult(mult(A_532,ld(A_533,A_533)),A_534) = mult(A_532,A_534) ),
inference(demodulation,[status(thm),theory(equality)],[c_15264,c_46745]) ).
tff(c_47286,plain,
! [A_1,A_533,B_330] : ( mult(mult(A_1,ld(A_533,A_533)),B_330) = mult(A_1,ld(A_1,mult(A_1,B_330))) ),
inference(superposition,[status(thm),theory(equality)],[c_18041,c_46886]) ).
tff(c_47450,plain,
! [A_1,B_330] : ( mult(A_1,ld(A_1,mult(A_1,B_330))) = mult(A_1,B_330) ),
inference(demodulation,[status(thm),theory(equality)],[c_46869,c_47286]) ).
tff(c_15705,plain,
! [A_6,B_5] : ( mult(mult(A_6,ld(B_5,B_5)),B_5) = mult(A_6,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_15682,c_12042]) ).
tff(c_21037,plain,
! [B_362,C_363,D_364] : ( mult(rd(B_362,rd(C_363,D_364)),rd(C_363,D_364)) = mult(B_362,ld(D_364,D_364)) ),
inference(demodulation,[status(thm),theory(equality)],[c_15682,c_12840]) ).
tff(c_21180,plain,
! [A_6,C_363,D_364] : ( mult(mult(A_6,ld(rd(C_363,D_364),rd(C_363,D_364))),rd(C_363,D_364)) = mult(mult(A_6,rd(C_363,D_364)),ld(D_364,D_364)) ),
inference(superposition,[status(thm),theory(equality)],[c_15709,c_21037]) ).
tff(c_33871,plain,
! [A_457,C_458,D_459] : ( mult(mult(A_457,rd(C_458,D_459)),ld(D_459,D_459)) = mult(A_457,rd(C_458,D_459)) ),
inference(demodulation,[status(thm),theory(equality)],[c_15705,c_21180]) ).
tff(c_34042,plain,
! [A_457,C_458,D_459,D_229] : ( ld(mult(A_457,rd(C_458,D_459)),mult(mult(A_457,rd(C_458,D_459)),mult(ld(D_459,D_459),D_229))) = mult(ld(mult(A_457,rd(C_458,D_459)),mult(A_457,rd(C_458,D_459))),D_229) ),
inference(superposition,[status(thm),theory(equality)],[c_33871,c_12263]) ).
tff(c_34222,plain,
! [A_457,D_459,D_229] : ( ld(A_457,mult(A_457,ld(D_459,mult(D_459,D_229)))) = ld(A_457,mult(A_457,D_229)) ),
inference(demodulation,[status(thm),theory(equality)],[c_14346,c_14346,c_13136,c_13136,c_34042]) ).
tff(c_47472,plain,
! [A_535,B_536] : ( mult(A_535,ld(A_535,mult(A_535,B_536))) = mult(A_535,B_536) ),
inference(demodulation,[status(thm),theory(equality)],[c_46869,c_47286]) ).
tff(c_47731,plain,
! [A_457,D_459,D_229] : ( mult(A_457,ld(D_459,mult(D_459,D_229))) = mult(A_457,ld(A_457,mult(A_457,D_229))) ),
inference(superposition,[status(thm),theory(equality)],[c_34222,c_47472]) ).
tff(c_47955,plain,
! [A_457,D_459,D_229] : ( mult(A_457,ld(D_459,mult(D_459,D_229))) = mult(A_457,D_229) ),
inference(demodulation,[status(thm),theory(equality)],[c_47450,c_47731]) ).
tff(c_35170,plain,
! [A_465,D_466,D_467] : ( ld(A_465,mult(A_465,ld(D_466,mult(D_466,D_467)))) = ld(A_465,mult(A_465,D_467)) ),
inference(demodulation,[status(thm),theory(equality)],[c_14346,c_14346,c_13136,c_13136,c_34042]) ).
tff(c_35248,plain,
! [A_465,D_466,D_467] : ( ld(A_465,ld(D_466,mult(D_466,D_467))) = ld(A_465,ld(A_465,mult(A_465,D_467))) ),
inference(superposition,[status(thm),theory(equality)],[c_35170,c_14327]) ).
tff(c_35556,plain,
! [A_465,D_466,D_467] : ( ld(A_465,ld(D_466,mult(D_466,D_467))) = ld(A_465,D_467) ),
inference(demodulation,[status(thm),theory(equality)],[c_14327,c_35248]) ).
tff(c_113,plain,
! [A_16,B_15] : ( rd(mult(ld(A_16,A_16),B_15),B_15) = ld(A_16,mult(A_16,ld(B_15,B_15))) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_14]) ).
tff(c_13147,plain,
! [A_16,B_15] : ( rd(ld(A_16,mult(A_16,B_15)),B_15) = ld(A_16,mult(A_16,ld(B_15,B_15))) ),
inference(demodulation,[status(thm),theory(equality)],[c_13136,c_113]) ).
tff(c_12029,plain,
! [A_4,B_3,A_221] : ( mult(rd(ld(A_4,mult(A_4,B_3)),A_221),A_221) = mult(A_4,mult(rd(ld(A_4,B_3),A_221),A_221)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_11983]) ).
tff(c_102204,plain,
! [A_767,B_768,A_769] : ( mult(rd(ld(A_767,mult(A_767,B_768)),A_769),A_769) = mult(A_767,mult(ld(A_767,B_768),ld(A_769,A_769))) ),
inference(demodulation,[status(thm),theory(equality)],[c_15682,c_12029]) ).
tff(c_102833,plain,
! [A_16,B_15] : ( mult(ld(A_16,mult(A_16,ld(B_15,B_15))),B_15) = mult(A_16,mult(ld(A_16,B_15),ld(B_15,B_15))) ),
inference(superposition,[status(thm),theory(equality)],[c_13147,c_102204]) ).
tff(c_103095,plain,
! [A_770,B_771] : ( mult(A_770,mult(ld(A_770,B_771),ld(B_771,B_771))) = ld(A_770,mult(A_770,B_771)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_12263,c_102833]) ).
tff(c_48945,plain,
! [A_543,C_544,C_545,D_546] : ( ld(ld(A_543,mult(A_543,C_544)),ld(A_543,mult(A_543,mult(C_544,mult(C_545,D_546))))) = ld(A_543,mult(A_543,mult(C_545,D_546))) ),
inference(superposition,[status(thm),theory(equality)],[c_12263,c_13392]) ).
tff(c_49394,plain,
! [A_543,C_544,B_22] : ( ld(ld(A_543,mult(A_543,C_544)),ld(A_543,mult(A_543,mult(C_544,B_22)))) = ld(A_543,mult(A_543,mult(ld(B_22,B_22),B_22))) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_48945]) ).
tff(c_49537,plain,
! [A_543,C_544,B_22] : ( ld(ld(A_543,mult(A_543,C_544)),ld(A_543,mult(A_543,mult(C_544,B_22)))) = ld(A_543,mult(A_543,B_22)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_49394]) ).
tff(c_103119,plain,
! [A_770,B_771] : ( ld(ld(A_770,mult(A_770,ld(A_770,B_771))),ld(A_770,ld(A_770,mult(A_770,B_771)))) = ld(A_770,mult(A_770,ld(B_771,B_771))) ),
inference(superposition,[status(thm),theory(equality)],[c_103095,c_49537]) ).
tff(c_103672,plain,
! [A_770,B_771] : ( ld(ld(A_770,B_771),ld(A_770,B_771)) = ld(A_770,mult(A_770,ld(B_771,B_771))) ),
inference(demodulation,[status(thm),theory(equality)],[c_35556,c_35556,c_6,c_103119]) ).
tff(c_274,plain,
! [A_37,B_38,C_39,D_40] : ( ld(ld(A_37,B_38),mult(ld(A_37,B_38),mult(C_39,D_40))) = mult(ld(A_37,mult(A_37,C_39)),D_40) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_334,plain,
! [A_1,C_39,D_40] : ( ld(A_1,mult(ld(A_1,mult(A_1,A_1)),mult(C_39,D_40))) = mult(ld(A_1,mult(A_1,C_39)),D_40) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_274]) ).
tff(c_466,plain,
! [A_46,C_47,D_48] : ( mult(ld(A_46,mult(A_46,C_47)),D_48) = ld(A_46,mult(A_46,mult(C_47,D_48))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_334]) ).
tff(c_542,plain,
! [A_1,D_48] : ( ld(A_1,mult(A_1,mult(A_1,D_48))) = mult(A_1,D_48) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_466]) ).
tff(c_86,plain,
! [A_24,B_25] : ( mult(rd(rd(A_24,A_24),B_25),B_25) = ld(A_24,mult(A_24,ld(B_25,B_25))) ),
inference(superposition,[status(thm),theory(equality)],[c_80,c_8]) ).
tff(c_243,plain,
! [A_24,B_25] : ( mult(rd(ld(A_24,A_24),B_25),B_25) = ld(A_24,mult(A_24,ld(B_25,B_25))) ),
inference(demodulation,[status(thm),theory(equality)],[c_111,c_86]) ).
tff(c_1798,plain,
! [A_81,B_82] : ( rd(ld(A_81,mult(A_81,B_82)),ld(A_81,B_82)) = mult(rd(A_81,ld(A_81,B_82)),ld(A_81,B_82)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_49]) ).
tff(c_1991,plain,
! [A_85] : ( mult(rd(A_85,ld(A_85,A_85)),ld(A_85,A_85)) = rd(A_85,ld(A_85,A_85)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1798]) ).
tff(c_178,plain,
! [A_31,B_32,C_33,D_34] : ( rd(mult(mult(A_31,B_32),rd(C_33,D_34)),rd(C_33,D_34)) = mult(A_31,mult(rd(B_32,D_34),D_34)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12]) ).
tff(c_226,plain,
! [A_31,B_32,A_2] : ( rd(mult(mult(A_31,B_32),A_2),rd(mult(A_2,A_2),A_2)) = mult(A_31,mult(rd(B_32,A_2),A_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_178]) ).
tff(c_352,plain,
! [A_41,B_42,A_43] : ( mult(rd(mult(A_41,B_42),A_43),A_43) = mult(A_41,mult(rd(B_42,A_43),A_43)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4,c_226]) ).
tff(c_392,plain,
! [A_6,B_5] : ( mult(mult(rd(A_6,B_5),B_5),B_5) = mult(A_6,mult(rd(B_5,B_5),B_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_352]) ).
tff(c_408,plain,
! [A_6,B_5] : ( mult(mult(rd(A_6,B_5),B_5),B_5) = mult(A_6,B_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_111,c_392]) ).
tff(c_2024,plain,
! [A_85] : ( mult(rd(A_85,ld(A_85,A_85)),ld(A_85,A_85)) = mult(A_85,ld(A_85,A_85)) ),
inference(superposition,[status(thm),theory(equality)],[c_1991,c_408]) ).
tff(c_2067,plain,
! [A_85] : ( mult(rd(A_85,ld(A_85,A_85)),ld(A_85,A_85)) = A_85 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_2024]) ).
tff(c_1891,plain,
! [A_1] : ( mult(rd(A_1,ld(A_1,A_1)),ld(A_1,A_1)) = rd(A_1,ld(A_1,A_1)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1798]) ).
tff(c_2076,plain,
! [A_1] : ( rd(A_1,ld(A_1,A_1)) = A_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_2067,c_1891]) ).
tff(c_2402,plain,
! [A_92] : ( mult(A_92,ld(A_92,A_92)) = A_92 ),
inference(demodulation,[status(thm),theory(equality)],[c_2076,c_2067]) ).
tff(c_240,plain,
! [A_31,B_32,A_2] : ( mult(rd(mult(A_31,B_32),A_2),A_2) = mult(A_31,mult(rd(B_32,A_2),A_2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4,c_226]) ).
tff(c_2444,plain,
! [A_92,A_2] : ( mult(A_92,mult(rd(ld(A_92,A_92),A_2),A_2)) = mult(rd(A_92,A_2),A_2) ),
inference(superposition,[status(thm),theory(equality)],[c_2402,c_240]) ).
tff(c_2482,plain,
! [A_92,A_2] : ( mult(rd(A_92,A_2),A_2) = mult(A_92,ld(A_2,A_2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_542,c_6,c_243,c_2444]) ).
tff(c_2498,plain,
! [A_6,B_5] : ( rd(mult(A_6,B_5),B_5) = mult(A_6,ld(B_5,B_5)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2482,c_8]) ).
tff(c_2447,plain,
! [A_92,C_12,D_11] : ( rd(mult(A_92,rd(C_12,D_11)),rd(C_12,D_11)) = mult(A_92,mult(rd(ld(A_92,A_92),D_11),D_11)) ),
inference(superposition,[status(thm),theory(equality)],[c_2402,c_17]) ).
tff(c_10948,plain,
! [A_201,C_202,D_203] : ( rd(mult(A_201,rd(C_202,D_203)),rd(C_202,D_203)) = mult(A_201,ld(D_203,D_203)) ),
inference(demodulation,[status(thm),theory(equality)],[c_542,c_6,c_243,c_2447]) ).
tff(c_11094,plain,
! [A_6,C_202,D_203] : ( mult(A_6,ld(rd(C_202,D_203),rd(C_202,D_203))) = mult(A_6,ld(D_203,D_203)) ),
inference(superposition,[status(thm),theory(equality)],[c_2498,c_10948]) ).
tff(c_16,plain,
( ( rd(mult('#skF_4',ld('#skF_5','#skF_6')),ld('#skF_5','#skF_6')) != rd(mult('#skF_4','#skF_6'),'#skF_6') )
| ( rd(mult('#skF_1',rd('#skF_2','#skF_3')),rd('#skF_2','#skF_3')) != rd(mult('#skF_1','#skF_3'),'#skF_3') ) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_18,plain,
( ( mult(rd('#skF_4',ld('#skF_5','#skF_6')),ld('#skF_5','#skF_6')) != mult(rd('#skF_4','#skF_6'),'#skF_6') )
| ( mult(rd('#skF_1',rd('#skF_2','#skF_3')),rd('#skF_2','#skF_3')) != mult(rd('#skF_1','#skF_3'),'#skF_3') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_8,c_8,c_8,c_16]) ).
tff(c_137,plain,
mult(rd('#skF_1',rd('#skF_2','#skF_3')),rd('#skF_2','#skF_3')) != mult(rd('#skF_1','#skF_3'),'#skF_3'),
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_2497,plain,
mult('#skF_1',ld(rd('#skF_2','#skF_3'),rd('#skF_2','#skF_3'))) != mult('#skF_1',ld('#skF_3','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_2482,c_2482,c_137]) ).
tff(c_11811,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11094,c_2497]) ).
tff(c_11812,plain,
mult(rd('#skF_4',ld('#skF_5','#skF_6')),ld('#skF_5','#skF_6')) != mult(rd('#skF_4','#skF_6'),'#skF_6'),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_15708,plain,
mult('#skF_4',ld(ld('#skF_5','#skF_6'),ld('#skF_5','#skF_6'))) != mult('#skF_4',ld('#skF_6','#skF_6')),
inference(demodulation,[status(thm),theory(equality)],[c_15682,c_15682,c_11812]) ).
tff(c_106995,plain,
mult('#skF_4',ld('#skF_5',mult('#skF_5',ld('#skF_6','#skF_6')))) != mult('#skF_4',ld('#skF_6','#skF_6')),
inference(demodulation,[status(thm),theory(equality)],[c_103672,c_15708]) ).
tff(c_107002,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47955,c_106995]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP685+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % 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
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 3 22:13:41 EDT 2023
% 0.14/0.34 % CPUTime :
% 38.44/23.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.44/23.98
% 38.44/23.98 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 38.73/24.03
% 38.73/24.03 Inference rules
% 38.73/24.03 ----------------------
% 38.73/24.03 #Ref : 0
% 38.73/24.03 #Sup : 25167
% 38.73/24.03 #Fact : 0
% 38.73/24.03 #Define : 0
% 38.73/24.03 #Split : 1
% 38.73/24.03 #Chain : 0
% 38.73/24.03 #Close : 0
% 38.73/24.03
% 38.73/24.03 Ordering : KBO
% 38.73/24.03
% 38.73/24.03 Simplification rules
% 38.73/24.03 ----------------------
% 38.73/24.03 #Subsume : 0
% 38.73/24.03 #Demod : 93179
% 38.73/24.03 #Tautology : 14001
% 38.73/24.03 #SimpNegUnit : 0
% 38.73/24.03 #BackRed : 87
% 38.73/24.03
% 38.73/24.03 #Partial instantiations: 0
% 38.73/24.03 #Strategies tried : 1
% 38.73/24.03
% 38.73/24.03 Timing (in seconds)
% 38.73/24.03 ----------------------
% 38.73/24.03 Preprocessing : 0.47
% 38.73/24.03 Parsing : 0.25
% 38.73/24.03 CNF conversion : 0.03
% 38.73/24.03 Main loop : 22.44
% 38.73/24.03 Inferencing : 3.00
% 38.73/24.03 Reduction : 16.72
% 38.73/24.03 Demodulation : 15.96
% 38.73/24.03 BG Simplification : 0.35
% 38.73/24.03 Subsumption : 1.70
% 38.73/24.03 Abstraction : 1.14
% 38.73/24.03 MUC search : 0.00
% 38.73/24.03 Cooper : 0.00
% 38.73/24.03 Total : 22.99
% 38.73/24.03 Index Insertion : 0.00
% 38.73/24.03 Index Deletion : 0.00
% 38.73/24.03 Index Matching : 0.00
% 38.73/24.03 BG Taut test : 0.00
%------------------------------------------------------------------------------