TSTP Solution File: GRP683-11 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP683-11 : TPTP v8.1.2. Released v8.1.0.
% 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 : n024.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 10:41:55 EDT 2023
% Result : Unsatisfiable 23.17s 11.83s
% Output : CNFRefutation 23.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 14
% Syntax : Number of formulae : 128 ( 122 unt; 6 typ; 0 def)
% Number of atoms : 122 ( 121 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 294 (; 294 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ rd > mult > ld > #nlpp > x5 > x4 > x3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(ld,type,
ld: ( $i * $i ) > $i ).
tff(rd,type,
rd: ( $i * $i ) > $i ).
tff(x3,type,
x3: $i ).
tff(x4,type,
x4: $i ).
tff(x5,type,
x5: $i ).
tff(mult,type,
mult: ( $i * $i ) > $i ).
tff(f_25,axiom,
! [A] : ( ld(A,mult(A,A)) = A ),
file(unknown,unknown) ).
tff(f_33,axiom,
! [A,B,C,D] : ( ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D) ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A,B] : ( mult(A,ld(A,B)) = ld(A,mult(A,B)) ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [A,B] : ( mult(rd(A,B),B) = rd(mult(A,B),B) ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [A] : ( rd(mult(A,A),A) = A ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [A,B] : ( ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [A,B,C,D] : ( rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)) ),
file(unknown,unknown) ).
tff(f_39,axiom,
mult(rd(mult(x3,x4),x4),x5) != mult(x3,x5),
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1] : ( ld(A_1,mult(A_1,A_1)) = A_1 ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_124,plain,
! [A_27,B_28,C_29,D_30] : ( ld(ld(A_27,B_28),mult(ld(A_27,B_28),mult(C_29,D_30))) = mult(ld(A_27,mult(A_27,C_29)),D_30) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_151,plain,
! [A_1,C_29,D_30] : ( ld(A_1,mult(ld(A_1,mult(A_1,A_1)),mult(C_29,D_30))) = mult(ld(A_1,mult(A_1,C_29)),D_30) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_124]) ).
tff(c_465,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_151]) ).
tff(c_541,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_465]) ).
tff(c_6,plain,
! [A_3,B_4] : ( mult(A_3,ld(A_3,B_4)) = ld(A_3,mult(A_3,B_4)) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
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_31]) ).
tff(c_4,plain,
! [A_2] : ( rd(mult(A_2,A_2),A_2) = A_2 ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_96,plain,
! [B_25] : ( mult(rd(B_25,B_25),B_25) = B_25 ),
inference(superposition,[status(thm),theory(equality)],[c_49,c_4]) ).
tff(c_14,plain,
! [A_15,B_16] : ( rd(mult(rd(A_15,A_15),B_16),B_16) = ld(A_15,mult(A_15,ld(B_16,B_16))) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_102,plain,
! [B_25] : ( ld(B_25,mult(B_25,ld(B_25,B_25))) = rd(B_25,B_25) ),
inference(superposition,[status(thm),theory(equality)],[c_96,c_14]) ).
tff(c_110,plain,
! [B_25] : ( rd(B_25,B_25) = ld(B_25,B_25) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_102]) ).
tff(c_8,plain,
! [A_5,B_6] : ( rd(mult(A_5,B_6),B_6) = mult(rd(A_5,B_6),B_6) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_68,plain,
! [A_23,B_24] : ( rd(mult(rd(A_23,A_23),B_24),B_24) = ld(A_23,mult(A_23,ld(B_24,B_24))) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_85,plain,
! [A_23,B_6] : ( mult(rd(rd(A_23,A_23),B_6),B_6) = ld(A_23,mult(A_23,ld(B_6,B_6))) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_68]) ).
tff(c_316,plain,
! [A_23,B_6] : ( mult(rd(ld(A_23,A_23),B_6),B_6) = ld(A_23,mult(A_23,ld(B_6,B_6))) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_85]) ).
tff(c_1938,plain,
! [A_84,B_85] : ( rd(ld(A_84,mult(A_84,B_85)),ld(A_84,B_85)) = mult(rd(A_84,ld(A_84,B_85)),ld(A_84,B_85)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_49]) ).
tff(c_2151,plain,
! [A_88] : ( mult(rd(A_88,ld(A_88,A_88)),ld(A_88,A_88)) = rd(A_88,ld(A_88,A_88)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_1938]) ).
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_113,plain,
! [B_22] : ( mult(ld(B_22,B_22),B_22) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_56]) ).
tff(c_12,plain,
! [A_11,B_12,C_13,D_14] : ( rd(mult(mult(A_11,B_12),rd(C_13,D_14)),rd(C_13,D_14)) = mult(A_11,rd(mult(B_12,D_14),D_14)) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_252,plain,
! [A_35,B_36,C_37,D_38] : ( rd(mult(mult(A_35,B_36),rd(C_37,D_38)),rd(C_37,D_38)) = mult(A_35,mult(rd(B_36,D_38),D_38)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12]) ).
tff(c_300,plain,
! [A_35,B_36,A_2] : ( rd(mult(mult(A_35,B_36),A_2),rd(mult(A_2,A_2),A_2)) = mult(A_35,mult(rd(B_36,A_2),A_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_252]) ).
tff(c_350,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_300]) ).
tff(c_390,plain,
! [A_5,B_6] : ( mult(mult(rd(A_5,B_6),B_6),B_6) = mult(A_5,mult(rd(B_6,B_6),B_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_350]) ).
tff(c_406,plain,
! [A_5,B_6] : ( mult(mult(rd(A_5,B_6),B_6),B_6) = mult(A_5,B_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_113,c_110,c_390]) ).
tff(c_2187,plain,
! [A_88] : ( mult(rd(A_88,ld(A_88,A_88)),ld(A_88,A_88)) = mult(A_88,ld(A_88,A_88)) ),
inference(superposition,[status(thm),theory(equality)],[c_2151,c_406]) ).
tff(c_2232,plain,
! [A_88] : ( mult(rd(A_88,ld(A_88,A_88)),ld(A_88,A_88)) = A_88 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_2187]) ).
tff(c_2037,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_1938]) ).
tff(c_2242,plain,
! [A_1] : ( rd(A_1,ld(A_1,A_1)) = A_1 ),
inference(demodulation,[status(thm),theory(equality)],[c_2232,c_2037]) ).
tff(c_2384,plain,
! [A_91] : ( mult(A_91,ld(A_91,A_91)) = A_91 ),
inference(demodulation,[status(thm),theory(equality)],[c_2242,c_2232]) ).
tff(c_314,plain,
! [A_35,B_36,A_2] : ( mult(rd(mult(A_35,B_36),A_2),A_2) = mult(A_35,mult(rd(B_36,A_2),A_2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_4,c_300]) ).
tff(c_2429,plain,
! [A_91,A_2] : ( mult(A_91,mult(rd(ld(A_91,A_91),A_2),A_2)) = mult(rd(A_91,A_2),A_2) ),
inference(superposition,[status(thm),theory(equality)],[c_2384,c_314]) ).
tff(c_2468,plain,
! [A_91,A_2] : ( mult(rd(A_91,A_2),A_2) = mult(A_91,ld(A_2,A_2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_541,c_6,c_316,c_2429]) ).
tff(c_2479,plain,
! [A_5,B_6] : ( mult(mult(A_5,ld(B_6,B_6)),B_6) = mult(A_5,B_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_2468,c_406]) ).
tff(c_161,plain,
! [A_1,C_29,D_30] : ( mult(ld(A_1,mult(A_1,C_29)),D_30) = ld(A_1,mult(A_1,mult(C_29,D_30))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151]) ).
tff(c_148,plain,
! [A_27,B_28,A_3,B_4] : ( ld(ld(A_27,B_28),mult(ld(A_27,B_28),ld(A_3,mult(A_3,B_4)))) = mult(ld(A_27,mult(A_27,A_3)),ld(A_3,B_4)) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_124]) ).
tff(c_3547,plain,
! [A_112,B_113,A_114,B_115] : ( ld(ld(A_112,B_113),mult(ld(A_112,B_113),ld(A_114,mult(A_114,B_115)))) = ld(A_112,mult(A_112,ld(A_114,mult(A_114,B_115)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_161,c_148]) ).
tff(c_3712,plain,
! [A_112,B_113,A_1] : ( ld(ld(A_112,B_113),mult(ld(A_112,B_113),A_1)) = ld(A_112,mult(A_112,ld(A_1,mult(A_1,A_1)))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_3547]) ).
tff(c_3766,plain,
! [A_112,B_113,A_1] : ( ld(ld(A_112,B_113),mult(ld(A_112,B_113),A_1)) = ld(A_112,mult(A_112,A_1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3712]) ).
tff(c_3838,plain,
! [A_118,B_119,A_120] : ( ld(ld(A_118,B_119),mult(ld(A_118,B_119),A_120)) = ld(A_118,mult(A_118,A_120)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_3712]) ).
tff(c_3872,plain,
! [A_118,B_119] : ( ld(A_118,mult(A_118,ld(A_118,B_119))) = ld(A_118,B_119) ),
inference(superposition,[status(thm),theory(equality)],[c_3838,c_2]) ).
tff(c_3980,plain,
! [A_121,B_122] : ( ld(A_121,ld(A_121,mult(A_121,B_122))) = ld(A_121,B_122) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_3872]) ).
tff(c_3998,plain,
! [A_112,B_113,A_1] : ( ld(ld(A_112,B_113),ld(A_112,mult(A_112,A_1))) = ld(ld(A_112,B_113),A_1) ),
inference(superposition,[status(thm),theory(equality)],[c_3766,c_3980]) ).
tff(c_618,plain,
! [A_52,B_53] : ( rd(mult(ld(A_52,A_52),B_53),B_53) = ld(A_52,mult(A_52,ld(B_53,B_53))) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_14]) ).
tff(c_627,plain,
! [A_52,B_53] : ( mult(ld(A_52,mult(A_52,ld(B_53,B_53))),B_53) = mult(ld(A_52,A_52),mult(rd(B_53,B_53),B_53)) ),
inference(superposition,[status(thm),theory(equality)],[c_618,c_314]) ).
tff(c_661,plain,
! [A_52,B_53] : ( mult(ld(A_52,A_52),B_53) = ld(A_52,mult(A_52,B_53)) ),
inference(demodulation,[status(thm),theory(equality)],[c_113,c_161,c_113,c_110,c_627]) ).
tff(c_671,plain,
! [A_54,B_55] : ( mult(ld(A_54,A_54),B_55) = ld(A_54,mult(A_54,B_55)) ),
inference(demodulation,[status(thm),theory(equality)],[c_113,c_161,c_113,c_110,c_627]) ).
tff(c_709,plain,
! [A_54] : ( ld(ld(A_54,A_54),ld(A_54,mult(A_54,ld(A_54,A_54)))) = ld(A_54,A_54) ),
inference(superposition,[status(thm),theory(equality)],[c_671,c_2]) ).
tff(c_769,plain,
! [A_57] : ( ld(ld(A_57,A_57),ld(A_57,A_57)) = ld(A_57,A_57) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_709]) ).
tff(c_796,plain,
! [A_57] : ( mult(ld(A_57,A_57),ld(A_57,A_57)) = ld(A_57,A_57) ),
inference(superposition,[status(thm),theory(equality)],[c_769,c_113]) ).
tff(c_553,plain,
! [A_49,D_50] : ( ld(A_49,mult(A_49,mult(A_49,D_50))) = mult(A_49,D_50) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_465]) ).
tff(c_559,plain,
! [A_49,D_50,D_30] : ( ld(A_49,mult(A_49,mult(mult(A_49,D_50),D_30))) = mult(mult(A_49,D_50),D_30) ),
inference(superposition,[status(thm),theory(equality)],[c_553,c_161]) ).
tff(c_3868,plain,
! [A_118,B_119,A_120] : ( ld(ld(A_118,B_119),mult(ld(A_118,B_119),mult(ld(A_118,B_119),A_120))) = mult(ld(A_118,B_119),ld(A_118,mult(A_118,A_120))) ),
inference(superposition,[status(thm),theory(equality)],[c_3838,c_6]) ).
tff(c_4281,plain,
! [A_126,B_127,A_128] : ( mult(ld(A_126,B_127),ld(A_126,mult(A_126,A_128))) = mult(ld(A_126,B_127),A_128) ),
inference(demodulation,[status(thm),theory(equality)],[c_541,c_3868]) ).
tff(c_4426,plain,
! [A_1,D_48,A_128] : ( mult(ld(A_1,mult(A_1,mult(A_1,D_48))),A_128) = mult(mult(A_1,D_48),ld(A_1,mult(A_1,A_128))) ),
inference(superposition,[status(thm),theory(equality)],[c_541,c_4281]) ).
tff(c_7081,plain,
! [A_159,D_160,A_161] : ( mult(mult(A_159,D_160),ld(A_159,mult(A_159,A_161))) = mult(mult(A_159,D_160),A_161) ),
inference(demodulation,[status(thm),theory(equality)],[c_559,c_161,c_4426]) ).
tff(c_7283,plain,
! [A_57,A_161] : ( mult(ld(A_57,A_57),ld(ld(A_57,A_57),mult(ld(A_57,A_57),A_161))) = mult(mult(ld(A_57,A_57),ld(A_57,A_57)),A_161) ),
inference(superposition,[status(thm),theory(equality)],[c_796,c_7081]) ).
tff(c_7382,plain,
! [A_57,A_161] : ( ld(ld(A_57,A_57),A_161) = ld(A_57,mult(A_57,A_161)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3998,c_661,c_2,c_6,c_661,c_541,c_6,c_661,c_6,c_661,c_7283]) ).
tff(c_7316,plain,
! [B_22,A_161] : ( mult(B_22,ld(ld(B_22,B_22),mult(ld(B_22,B_22),A_161))) = mult(mult(ld(B_22,B_22),B_22),A_161) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_7081]) ).
tff(c_7391,plain,
! [B_22,A_161] : ( mult(B_22,ld(ld(B_22,B_22),A_161)) = mult(B_22,A_161) ),
inference(demodulation,[status(thm),theory(equality)],[c_3998,c_661,c_113,c_7316]) ).
tff(c_7616,plain,
! [B_22,A_161] : ( mult(B_22,ld(B_22,mult(B_22,A_161))) = mult(B_22,A_161) ),
inference(demodulation,[status(thm),theory(equality)],[c_7382,c_7391]) ).
tff(c_3925,plain,
! [A_1,D_48,A_120] : ( ld(mult(A_1,D_48),mult(ld(A_1,mult(A_1,mult(A_1,D_48))),A_120)) = ld(A_1,mult(A_1,A_120)) ),
inference(superposition,[status(thm),theory(equality)],[c_541,c_3838]) ).
tff(c_3973,plain,
! [A_1,D_48,A_120] : ( ld(mult(A_1,D_48),mult(mult(A_1,D_48),A_120)) = ld(A_1,mult(A_1,A_120)) ),
inference(demodulation,[status(thm),theory(equality)],[c_559,c_161,c_3925]) ).
tff(c_2482,plain,
! [A_5,B_6] : ( rd(mult(A_5,B_6),B_6) = mult(A_5,ld(B_6,B_6)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2468,c_8]) ).
tff(c_264,plain,
! [A_35,B_36,C_37,D_38] : ( mult(rd(mult(A_35,B_36),rd(C_37,D_38)),rd(C_37,D_38)) = mult(A_35,mult(rd(B_36,D_38),D_38)) ),
inference(superposition,[status(thm),theory(equality)],[c_252,c_8]) ).
tff(c_2412,plain,
! [A_91,C_37,D_38] : ( mult(rd(A_91,rd(C_37,D_38)),rd(C_37,D_38)) = mult(A_91,mult(rd(ld(A_91,A_91),D_38),D_38)) ),
inference(superposition,[status(thm),theory(equality)],[c_2384,c_264]) ).
tff(c_6865,plain,
! [A_156,C_157,D_158] : ( mult(rd(A_156,rd(C_157,D_158)),rd(C_157,D_158)) = mult(A_156,ld(D_158,D_158)) ),
inference(demodulation,[status(thm),theory(equality)],[c_541,c_6,c_316,c_2412]) ).
tff(c_6977,plain,
! [A_5,C_157,D_158] : ( mult(mult(A_5,ld(rd(C_157,D_158),rd(C_157,D_158))),rd(C_157,D_158)) = mult(mult(A_5,rd(C_157,D_158)),ld(D_158,D_158)) ),
inference(superposition,[status(thm),theory(equality)],[c_2482,c_6865]) ).
tff(c_18131,plain,
! [A_249,C_250,D_251] : ( mult(mult(A_249,rd(C_250,D_251)),ld(D_251,D_251)) = mult(A_249,rd(C_250,D_251)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2479,c_6977]) ).
tff(c_18323,plain,
! [A_249,C_250,D_251,D_30] : ( ld(mult(A_249,rd(C_250,D_251)),mult(mult(A_249,rd(C_250,D_251)),mult(ld(D_251,D_251),D_30))) = mult(ld(mult(A_249,rd(C_250,D_251)),mult(A_249,rd(C_250,D_251))),D_30) ),
inference(superposition,[status(thm),theory(equality)],[c_18131,c_161]) ).
tff(c_28582,plain,
! [A_311,D_312,D_313] : ( ld(A_311,mult(A_311,ld(D_312,mult(D_312,D_313)))) = ld(A_311,mult(A_311,D_313)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3973,c_3973,c_661,c_661,c_18323]) ).
tff(c_28675,plain,
! [A_311,D_312,D_313] : ( mult(A_311,ld(D_312,mult(D_312,D_313))) = mult(A_311,ld(A_311,mult(A_311,D_313))) ),
inference(superposition,[status(thm),theory(equality)],[c_28582,c_7616]) ).
tff(c_29023,plain,
! [A_311,D_312,D_313] : ( mult(A_311,ld(D_312,mult(D_312,D_313))) = mult(A_311,D_313) ),
inference(demodulation,[status(thm),theory(equality)],[c_7616,c_28675]) ).
tff(c_10846,plain,
! [A_197,B_198,A_199] : ( mult(rd(mult(A_197,B_198),A_199),A_199) = mult(A_197,mult(B_198,ld(A_199,A_199))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2468,c_314]) ).
tff(c_11085,plain,
! [A_197,B_198,A_2] : ( mult(mult(A_197,B_198),ld(A_2,A_2)) = mult(A_197,mult(B_198,ld(A_2,A_2))) ),
inference(superposition,[status(thm),theory(equality)],[c_2468,c_10846]) ).
tff(c_1537,plain,
! [A_75,D_76,D_77] : ( ld(A_75,mult(A_75,mult(mult(A_75,D_76),D_77))) = mult(mult(A_75,D_76),D_77) ),
inference(superposition,[status(thm),theory(equality)],[c_553,c_161]) ).
tff(c_1602,plain,
! [A_5,B_6] : ( ld(rd(A_5,B_6),mult(rd(A_5,B_6),mult(A_5,B_6))) = mult(mult(rd(A_5,B_6),B_6),B_6) ),
inference(superposition,[status(thm),theory(equality)],[c_406,c_1537]) ).
tff(c_1638,plain,
! [A_5,B_6] : ( ld(rd(A_5,B_6),mult(rd(A_5,B_6),mult(A_5,B_6))) = mult(A_5,B_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_1602]) ).
tff(c_11206,plain,
! [A_200,B_201] : ( ld(rd(A_200,B_201),mult(rd(A_200,B_201),mult(A_200,B_201))) = mult(A_200,B_201) ),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_1602]) ).
tff(c_11261,plain,
! [A_200,B_201,A_1] : ( ld(ld(rd(A_200,B_201),mult(rd(A_200,B_201),mult(A_200,B_201))),mult(mult(A_200,B_201),A_1)) = ld(rd(A_200,B_201),mult(rd(A_200,B_201),A_1)) ),
inference(superposition,[status(thm),theory(equality)],[c_11206,c_3766]) ).
tff(c_11588,plain,
! [A_203,B_204,A_205] : ( ld(rd(A_203,B_204),mult(rd(A_203,B_204),A_205)) = ld(A_203,mult(A_203,A_205)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3973,c_1638,c_11261]) ).
tff(c_11680,plain,
! [A_203,B_204,D_48] : ( ld(A_203,mult(A_203,mult(rd(A_203,B_204),D_48))) = mult(rd(A_203,B_204),D_48) ),
inference(superposition,[status(thm),theory(equality)],[c_11588,c_541]) ).
tff(c_733,plain,
! [A_54] : ( ld(ld(A_54,A_54),ld(A_54,A_54)) = ld(A_54,A_54) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_709]) ).
tff(c_7619,plain,
! [A_164,A_165] : ( ld(ld(A_164,A_164),A_165) = ld(A_164,mult(A_164,A_165)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3998,c_661,c_2,c_6,c_661,c_541,c_6,c_661,c_6,c_661,c_7283]) ).
tff(c_2484,plain,
! [A_92,A_93] : ( mult(rd(A_92,A_93),A_93) = mult(A_92,ld(A_93,A_93)) ),
inference(demodulation,[status(thm),theory(equality)],[c_541,c_6,c_316,c_2429]) ).
tff(c_1816,plain,
! [B_82,A_83] : ( mult(ld(B_82,B_82),mult(rd(B_82,A_83),A_83)) = mult(rd(B_82,A_83),A_83) ),
inference(superposition,[status(thm),theory(equality)],[c_113,c_350]) ).
tff(c_961,plain,
! [A_62,B_63,C_64,D_65] : ( mult(rd(mult(A_62,B_63),rd(C_64,D_65)),rd(C_64,D_65)) = mult(A_62,mult(rd(B_63,D_65),D_65)) ),
inference(superposition,[status(thm),theory(equality)],[c_252,c_8]) ).
tff(c_1053,plain,
! [A_5,C_64,D_65] : ( mult(mult(rd(A_5,rd(C_64,D_65)),rd(C_64,D_65)),rd(C_64,D_65)) = mult(A_5,mult(rd(rd(C_64,D_65),D_65),D_65)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_961]) ).
tff(c_1089,plain,
! [A_5,C_64,D_65] : ( mult(A_5,mult(rd(rd(C_64,D_65),D_65),D_65)) = mult(A_5,rd(C_64,D_65)) ),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_1053]) ).
tff(c_1838,plain,
! [C_64,A_83] : ( mult(ld(rd(C_64,A_83),rd(C_64,A_83)),rd(C_64,A_83)) = mult(rd(rd(C_64,A_83),A_83),A_83) ),
inference(superposition,[status(thm),theory(equality)],[c_1816,c_1089]) ).
tff(c_1916,plain,
! [C_64,A_83] : ( mult(rd(rd(C_64,A_83),A_83),A_83) = rd(C_64,A_83) ),
inference(demodulation,[status(thm),theory(equality)],[c_113,c_1838]) ).
tff(c_2491,plain,
! [C_64,A_93] : ( mult(rd(C_64,A_93),ld(A_93,A_93)) = rd(C_64,A_93) ),
inference(superposition,[status(thm),theory(equality)],[c_2484,c_1916]) ).
tff(c_7705,plain,
! [C_64,A_164] : ( mult(rd(C_64,ld(A_164,A_164)),ld(A_164,mult(A_164,ld(A_164,A_164)))) = rd(C_64,ld(A_164,A_164)) ),
inference(superposition,[status(thm),theory(equality)],[c_7619,c_2491]) ).
tff(c_7905,plain,
! [C_64,A_164] : ( rd(C_64,ld(A_164,A_164)) = mult(C_64,ld(A_164,A_164)) ),
inference(demodulation,[status(thm),theory(equality)],[c_733,c_2468,c_2,c_6,c_7705]) ).
tff(c_1018,plain,
! [A_35,B_36,C_64,D_65,A_2] : ( mult(rd(mult(A_35,mult(rd(B_36,A_2),A_2)),rd(C_64,D_65)),rd(C_64,D_65)) = mult(rd(mult(A_35,B_36),A_2),mult(rd(A_2,D_65),D_65)) ),
inference(superposition,[status(thm),theory(equality)],[c_314,c_961]) ).
tff(c_1083,plain,
! [A_35,B_36,A_2,D_65] : ( mult(rd(mult(A_35,B_36),A_2),mult(rd(A_2,D_65),D_65)) = mult(A_35,mult(rd(B_36,A_2),mult(rd(A_2,D_65),D_65))) ),
inference(demodulation,[status(thm),theory(equality)],[c_314,c_264,c_1018]) ).
tff(c_34849,plain,
! [A_35,B_36,A_2,D_65] : ( mult(rd(mult(A_35,B_36),A_2),mult(A_2,ld(D_65,D_65))) = mult(A_35,mult(rd(B_36,A_2),mult(A_2,ld(D_65,D_65)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_2468,c_2468,c_1083]) ).
tff(c_18,plain,
! [A_11,B_12,C_13,D_14] : ( rd(mult(mult(A_11,B_12),rd(C_13,D_14)),rd(C_13,D_14)) = mult(A_11,mult(rd(B_12,D_14),D_14)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_12]) ).
tff(c_985,plain,
! [B_63,D_14,C_64,A_62,D_65,C_13] : ( rd(mult(mult(A_62,mult(rd(B_63,D_65),D_65)),rd(C_13,D_14)),rd(C_13,D_14)) = mult(rd(mult(A_62,B_63),rd(C_64,D_65)),mult(rd(rd(C_64,D_65),D_14),D_14)) ),
inference(superposition,[status(thm),theory(equality)],[c_961,c_18]) ).
tff(c_1074,plain,
! [B_63,D_14,C_64,A_62,D_65] : ( mult(rd(mult(A_62,B_63),rd(C_64,D_65)),mult(rd(rd(C_64,D_65),D_14),D_14)) = mult(A_62,mult(rd(B_63,D_65),mult(rd(D_65,D_14),D_14))) ),
inference(demodulation,[status(thm),theory(equality)],[c_314,c_18,c_985]) ).
tff(c_46037,plain,
! [B_420,A_419,C_418,D_421,D_422] : ( mult(A_419,mult(rd(B_420,rd(C_418,D_422)),mult(rd(C_418,D_422),ld(D_421,D_421)))) = mult(A_419,mult(rd(B_420,D_422),mult(D_422,ld(D_421,D_421)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_34849,c_2468,c_2468,c_1074]) ).
tff(c_51841,plain,
! [B_444,C_445,D_446,D_447] : ( ld(mult(rd(B_444,rd(C_445,D_446)),mult(rd(C_445,D_446),ld(D_447,D_447))),mult(mult(rd(B_444,rd(C_445,D_446)),mult(rd(C_445,D_446),ld(D_447,D_447))),mult(rd(B_444,D_446),mult(D_446,ld(D_447,D_447))))) = mult(rd(B_444,rd(C_445,D_446)),mult(rd(C_445,D_446),ld(D_447,D_447))) ),
inference(superposition,[status(thm),theory(equality)],[c_46037,c_2]) ).
tff(c_52655,plain,
! [B_444,B_25,D_447] : ( ld(mult(rd(B_444,rd(B_25,B_25)),mult(rd(B_25,B_25),ld(D_447,D_447))),mult(mult(rd(B_444,rd(B_25,B_25)),mult(ld(B_25,B_25),ld(D_447,D_447))),mult(rd(B_444,B_25),mult(B_25,ld(D_447,D_447))))) = mult(rd(B_444,rd(B_25,B_25)),mult(rd(B_25,B_25),ld(D_447,D_447))) ),
inference(superposition,[status(thm),theory(equality)],[c_110,c_51841]) ).
tff(c_53185,plain,
! [B_450,B_451,D_452] : ( mult(rd(B_450,B_451),mult(B_451,ld(D_452,D_452))) = mult(B_450,ld(D_452,D_452)) ),
inference(demodulation,[status(thm),theory(equality)],[c_29023,c_661,c_11085,c_29023,c_11680,c_7905,c_3973,c_7905,c_7905,c_3973,c_661,c_661,c_661,c_110,c_110,c_110,c_110,c_110,c_52655]) ).
tff(c_409,plain,
! [A_44,B_45] : ( mult(mult(rd(A_44,B_45),B_45),B_45) = mult(A_44,B_45) ),
inference(demodulation,[status(thm),theory(equality)],[c_113,c_110,c_390]) ).
tff(c_434,plain,
! [A_35,B_36,A_2] : ( mult(mult(A_35,mult(rd(B_36,A_2),A_2)),A_2) = mult(mult(A_35,B_36),A_2) ),
inference(superposition,[status(thm),theory(equality)],[c_314,c_409]) ).
tff(c_4637,plain,
! [A_35,B_36,A_2] : ( mult(mult(A_35,mult(B_36,ld(A_2,A_2))),A_2) = mult(mult(A_35,B_36),A_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_2468,c_434]) ).
tff(c_53320,plain,
! [B_450,B_451,D_452] : ( mult(mult(rd(B_450,B_451),B_451),D_452) = mult(mult(B_450,ld(D_452,D_452)),D_452) ),
inference(superposition,[status(thm),theory(equality)],[c_53185,c_4637]) ).
tff(c_53582,plain,
! [B_450,B_451,D_452] : ( mult(mult(B_450,ld(B_451,B_451)),D_452) = mult(B_450,D_452) ),
inference(demodulation,[status(thm),theory(equality)],[c_2479,c_2468,c_53320]) ).
tff(c_16,plain,
mult(rd(mult(x3,x4),x4),x5) != mult(x3,x5),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_17,plain,
mult(mult(rd(x3,x4),x4),x5) != mult(x3,x5),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_16]) ).
tff(c_2483,plain,
mult(mult(x3,ld(x4,x4)),x5) != mult(x3,x5),
inference(demodulation,[status(thm),theory(equality)],[c_2468,c_17]) ).
tff(c_53647,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53582,c_2483]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP683-11 : TPTP v8.1.2. Released v8.1.0.
% 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
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:13:00 EDT 2023
% 0.14/0.36 % CPUTime :
% 23.17/11.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.17/11.84
% 23.17/11.84 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 23.25/11.89
% 23.25/11.89 Inference rules
% 23.25/11.89 ----------------------
% 23.25/11.89 #Ref : 0
% 23.25/11.89 #Sup : 12767
% 23.25/11.89 #Fact : 0
% 23.25/11.89 #Define : 0
% 23.25/11.89 #Split : 0
% 23.25/11.89 #Chain : 0
% 23.25/11.89 #Close : 0
% 23.25/11.89
% 23.25/11.89 Ordering : KBO
% 23.25/11.89
% 23.25/11.89 Simplification rules
% 23.25/11.89 ----------------------
% 23.25/11.89 #Subsume : 0
% 23.25/11.89 #Demod : 55326
% 23.25/11.89 #Tautology : 7266
% 23.25/11.89 #SimpNegUnit : 0
% 23.25/11.89 #BackRed : 48
% 23.25/11.89
% 23.25/11.89 #Partial instantiations: 0
% 23.25/11.89 #Strategies tried : 1
% 23.25/11.89
% 23.25/11.89 Timing (in seconds)
% 23.25/11.89 ----------------------
% 23.25/11.89 Preprocessing : 0.44
% 23.25/11.89 Parsing : 0.23
% 23.25/11.89 CNF conversion : 0.02
% 23.25/11.89 Main loop : 10.35
% 23.25/11.89 Inferencing : 1.81
% 23.25/11.89 Reduction : 7.31
% 23.25/11.89 Demodulation : 6.94
% 23.25/11.89 BG Simplification : 0.20
% 23.25/11.90 Subsumption : 0.72
% 23.25/11.90 Abstraction : 0.61
% 23.25/11.90 MUC search : 0.00
% 23.25/11.90 Cooper : 0.00
% 23.25/11.90 Total : 10.87
% 23.25/11.90 Index Insertion : 0.00
% 23.25/11.90 Index Deletion : 0.00
% 23.25/11.90 Index Matching : 0.00
% 23.25/11.90 BG Taut test : 0.00
%------------------------------------------------------------------------------