TSTP Solution File: GRP685-10 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP685-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n006.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 Jul 26 07:03:10 EDT 2022
% Result : Unsatisfiable 17.26s 17.47s
% Output : CNFRefutation 17.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 8
% Syntax : Number of clauses : 206 ( 206 unt; 0 nHn; 7 RR)
% Number of literals : 206 ( 205 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 434 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = ld(A,mult(A,A)),
file('/tmp/MaedMax_22750') ).
cnf(eq_1,axiom,
A = rd(mult(A,A),A),
file('/tmp/MaedMax_22750') ).
cnf(eq_2,axiom,
mult(A,ld(A,B)) = ld(A,mult(A,B)),
file('/tmp/MaedMax_22750') ).
cnf(eq_3,axiom,
mult(rd(A,B),B) = rd(mult(A,B),B),
file('/tmp/MaedMax_22750') ).
cnf(eq_4,axiom,
mult(ld(A,mult(A,B)),C) = ld(ld(A,D),mult(ld(A,D),mult(B,C))),
file('/tmp/MaedMax_22750') ).
cnf(eq_5,axiom,
mult(A,rd(mult(B,C),C)) = rd(mult(mult(A,B),rd(D,C)),rd(D,C)),
file('/tmp/MaedMax_22750') ).
cnf(eq_6,axiom,
ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
file('/tmp/MaedMax_22750') ).
cnf(eq_7,negated_conjecture,
rd(mult(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8),
file('/tmp/MaedMax_22750') ).
cnf(eq_8,plain,
mult(mult(A,ld(A,B)),C) = mult(ld(A,D),ld(ld(A,D),mult(B,C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_2]),eq_2]) ).
cnf(eq_9,plain,
mult(A,ld(A,ld(B,B))) = mult(rd(rd(A,A),B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_2]),eq_3]) ).
cnf(eq_10,plain,
A = mult(rd(A,A),A),
inference(rw,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_11,plain,
A = mult(A,ld(A,A)),
inference(rw,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_12,plain,
ld(A,A) = mult(A,ld(A,ld(A,A))),
inference(cp,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_13,plain,
rd(mult(A,rd(x102,x103)),rd(x102,x103)) = mult(A,rd(mult(ld(A,A),x103),x103)),
inference(cp,[status(thm)],[eq_11,eq_5]) ).
cnf(eq_14,plain,
rd(mult(mult(x100,x101),rd(mult(A,A),A)),A) = mult(x100,rd(mult(x101,A),A)),
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_15,plain,
mult(A,x102) = mult(ld(A,x103),ld(ld(A,x103),mult(A,x102))),
inference(cp,[status(thm)],[eq_11,eq_8]) ).
cnf(eq_16,plain,
mult(A,rd(mult(B,C),C)) = rd(mult(mult(A,B),C),C),
inference(rw,[status(thm)],[eq_14,eq_1]) ).
cnf(eq_17,plain,
mult(A,rd(mult(ld(A,A),B),B)) = rd(mult(A,rd(C,B)),rd(C,B)),
eq_13 ).
cnf(eq_18,plain,
mult(A,ld(A,ld(A,A))) = ld(A,A),
eq_12 ).
cnf(eq_19,plain,
mult(A,B) = mult(ld(A,C),ld(ld(A,C),mult(A,B))),
eq_15 ).
cnf(eq_20,plain,
mult(A,mult(rd(B,C),C)) = mult(rd(mult(A,B),C),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_3]),eq_3]) ).
cnf(eq_21,plain,
mult(ld(x100,x101),ld(ld(x100,x101),A)) = mult(mult(x100,ld(x100,rd(A,A))),A),
inference(cp,[status(thm)],[eq_10,eq_8]) ).
cnf(eq_22,plain,
mult(A,ld(A,ld(rd(A,A),rd(A,A)))) = rd(A,A),
inference(cp,[status(thm)],[eq_9,eq_10]) ).
cnf(eq_23,plain,
rd(A,ld(A,A)) = mult(rd(A,ld(A,A)),ld(A,A)),
inference(cp,[status(thm)],[eq_11,eq_3]) ).
cnf(eq_24,plain,
rd(A,A) = mult(rd(rd(A,A),A),A),
inference(cp,[status(thm)],[eq_10,eq_3]) ).
cnf(eq_25,plain,
ld(A,A) = rd(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_9]),eq_18]) ).
cnf(eq_26,plain,
mult(rd(A,ld(A,A)),ld(A,A)) = rd(A,ld(A,A)),
eq_23 ).
cnf(eq_27,plain,
mult(rd(rd(ld(B,B),ld(B,B)),B),B) = ld(B,B),
inference(cp,[status(thm)],[eq_9,eq_11]) ).
cnf(eq_28,plain,
mult(A,rd(A,A)) = A,
inference(cp,[status(thm)],[eq_25,eq_11]) ).
cnf(eq_29,plain,
mult(x100,ld(x100,rd(A,A))) = mult(rd(rd(x100,x100),A),A),
inference(cp,[status(thm)],[eq_25,eq_9]) ).
cnf(eq_30,plain,
mult(x100,A) = mult(rd(mult(x100,A),A),A),
inference(cp,[status(thm)],[eq_10,eq_20]) ).
cnf(eq_31,plain,
mult(rd(A,x102),x102) = mult(A,mult(rd(ld(A,A),x102),x102)),
inference(cp,[status(thm)],[eq_11,eq_20]) ).
cnf(eq_32,plain,
mult(A,B) = mult(mult(rd(A,B),B),B),
inference(rw,[status(thm)],[eq_30,eq_3]) ).
cnf(eq_33,plain,
mult(rd(rd(ld(A,A),ld(A,A)),A),A) = ld(A,A),
eq_27 ).
cnf(eq_34,plain,
mult(A,ld(A,rd(B,B))) = mult(rd(rd(A,A),B),B),
eq_29 ).
cnf(eq_35,plain,
mult(A,mult(rd(ld(A,A),B),B)) = mult(rd(A,B),B),
eq_31 ).
cnf(eq_36,plain,
mult(rd(rd(rd(A,A),rd(A,A)),A),A) = rd(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_25]),eq_25]),eq_25]) ).
cnf(eq_37,plain,
mult(mult(A,mult(rd(B,C),C)),C) = mult(mult(A,B),C),
inference(cp,[status(thm)],[eq_20,eq_32]) ).
cnf(eq_38,plain,
mult(mult(A,B),C) = mult(mult(A,mult(rd(B,C),C)),C),
eq_37 ).
cnf(eq_39,plain,
mult(A,ld(A,ld(B,B))) = mult(rd(ld(A,A),B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_25]),eq_25]) ).
cnf(eq_40,plain,
mult(A,ld(A,ld(ld(A,A),ld(A,A)))) = ld(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_25]),eq_25]),eq_25]) ).
cnf(eq_41,plain,
mult(rd(A,ld(A,A)),ld(A,A)) = mult(A,ld(A,A)),
inference(cp,[status(thm)],[eq_26,eq_32]) ).
cnf(eq_42,plain,
A = rd(A,ld(A,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_26]),eq_11]) ).
cnf(eq_43,plain,
mult(A,ld(A,rd(B,B))) = rd(mult(rd(A,A),B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_25]),eq_25]),eq_3]) ).
cnf(eq_44,plain,
rd(A,A) = rd(mult(rd(rd(A,A),rd(A,A)),A),A),
inference(rw,[status(thm)],[eq_36,eq_3]) ).
cnf(eq_45,plain,
mult(mult(A,B),C) = mult(mult(A,rd(mult(B,C),C)),C),
inference(rw,[status(thm)],[eq_38,eq_3]) ).
cnf(eq_46,plain,
A = rd(A,rd(A,A)),
inference(rw,[status(thm)],[eq_42,eq_25]) ).
cnf(eq_47,plain,
mult(A,rd(mult(rd(A,A),B),B)) = rd(mult(A,B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_25]),eq_3]),eq_3]) ).
cnf(eq_48,plain,
rd(mult(rd(mult(A,B),B),x102),x102) = mult(rd(A,B),rd(mult(B,x102),x102)),
inference(cp,[status(thm)],[eq_3,eq_16]) ).
cnf(eq_49,plain,
mult(rd(A,B),rd(mult(B,C),C)) = rd(mult(rd(mult(A,B),B),C),C),
eq_48 ).
cnf(eq_50,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(rd(A,A),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_34]),eq_32]) ).
cnf(eq_51,plain,
mult(rd(mult(A,rd(mult(x101,x102),x102)),rd(mult(x101,x102),x102)),x102) = mult(mult(rd(A,rd(mult(x101,x102),x102)),x101),x102),
inference(cp,[status(thm)],[eq_3,eq_45]) ).
cnf(eq_52,plain,
mult(rd(A,A),rd(A,A)) = rd(mult(rd(A,A),A),A),
inference(cp,[status(thm)],[eq_44,eq_47]) ).
cnf(eq_53,plain,
mult(mult(A,ld(A,B)),C) = mult(rd(A,A),mult(B,C)),
inference(cp,[status(thm)],[eq_8,eq_50]) ).
cnf(eq_54,plain,
mult(rd(A,A),ld(ld(A,A),x102)) = mult(rd(A,A),x102),
inference(cp,[status(thm)],[eq_25,eq_50]) ).
cnf(eq_55,plain,
mult(mult(A,ld(A,B)),ld(ld(A,mult(A,B)),x102)) = mult(rd(A,A),x102),
inference(cp,[status(thm)],[eq_2,eq_50]) ).
cnf(eq_56,plain,
mult(ld(x100,x101),rd(ld(x100,x101),ld(x100,x101))) = mult(rd(x100,x100),ld(x100,x101)),
inference(cp,[status(thm)],[eq_25,eq_50]) ).
cnf(eq_57,plain,
mult(rd(A,A),ld(A,B)) = ld(A,B),
inference(rw,[status(thm)],[eq_56,eq_28]) ).
cnf(eq_58,plain,
mult(rd(A,A),B) = mult(rd(A,A),ld(rd(A,A),B)),
inference(rw,[status(thm)],[eq_54,eq_25]) ).
cnf(eq_59,plain,
mult(rd(A,A),rd(A,A)) = rd(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_3]),eq_1]) ).
cnf(eq_60,negated_conjecture,
mult(x6,rd(mult(rd(x6,x6),ld(x7,x8)),ld(x7,x8))) != rd(mult(x6,x8),x8),
inference(cp,[status(thm)],[eq_47,eq_7]) ).
cnf(eq_61,plain,
rd(A,A) = rd(rd(A,A),rd(A,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_40,eq_25]),eq_25]),eq_25]),eq_43]),eq_59]),eq_25]) ).
cnf(eq_62,plain,
rd(mult(A,B),B) = rd(mult(A,rd(C,B)),rd(C,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_25]),eq_47]) ).
cnf(eq_63,plain,
mult(A,B) = mult(rd(A,A),mult(A,B)),
inference(rw,[status(thm)],[eq_19,eq_50]) ).
cnf(eq_64,plain,
ld(rd(A,A),ld(A,B)) = mult(rd(A,A),ld(rd(A,A),ld(A,B))),
inference(cp,[status(thm)],[eq_57,eq_2]) ).
cnf(eq_65,plain,
ld(A,B) = ld(rd(A,A),ld(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_58]),eq_57]) ).
cnf(eq_66,plain,
mult(rd(A,A),ld(rd(A,A),x101)) = ld(rd(A,A),x101),
inference(cp,[status(thm)],[eq_61,eq_57]) ).
cnf(eq_67,plain,
mult(rd(A,A),mult(rd(A,A),x101)) = mult(rd(A,A),x101),
inference(cp,[status(thm)],[eq_61,eq_63]) ).
cnf(eq_68,plain,
mult(rd(A,A),B) = ld(rd(A,A),B),
inference(rw,[status(thm)],[eq_66,eq_58]) ).
cnf(eq_69,plain,
mult(rd(A,A),B) = mult(rd(A,A),mult(rd(A,A),B)),
eq_67 ).
cnf(eq_70,plain,
mult(rd(A,A),mult(rd(A,A),rd(x101,x101))) = mult(rd(rd(rd(A,A),rd(A,A)),x101),x101),
inference(cp,[status(thm)],[eq_68,eq_34]) ).
cnf(eq_71,plain,
mult(mult(rd(rd(A,A),B),B),x102) = mult(rd(A,A),mult(rd(B,B),x102)),
inference(cp,[status(thm)],[eq_34,eq_53]) ).
cnf(eq_72,plain,
rd(mult(rd(C,B),B),B) = rd(C,B),
inference(cp,[status(thm)],[eq_62,eq_1]) ).
cnf(eq_73,plain,
rd(A,B) = rd(rd(mult(A,B),B),B),
inference(rw,[status(thm)],[eq_72,eq_3]) ).
cnf(eq_74,plain,
mult(rd(A,A),B) = mult(rd(A,A),mult(C,ld(mult(A,ld(A,C)),B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_2]),eq_53]) ).
cnf(eq_75,plain,
mult(rd(A,A),mult(rd(B,B),C)) = mult(rd(mult(rd(A,A),B),B),C),
inference(rw,[status(thm)],[eq_71,eq_3]) ).
cnf(eq_76,plain,
mult(A,B) = mult(mult(rd(A,rd(mult(C,B),B)),C),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_62]),eq_3]),eq_16]),eq_1]) ).
cnf(eq_77,plain,
mult(mult(rd(mult(A,B),B),x101),B) = mult(mult(A,rd(mult(x101,B),B)),B),
inference(cp,[status(thm)],[eq_62,eq_76]) ).
cnf(eq_78,plain,
rd(rd(mult(rd(mult(mult(x100,B),B),B),C),C),rd(mult(B,C),C)) = mult(rd(x100,B),rd(mult(B,rd(mult(B,C),C)),rd(mult(B,C),C))),
inference(cp,[status(thm)],[eq_49,eq_49]) ).
cnf(eq_79,plain,
rd(mult(A,rd(mult(B,C),C)),C) = rd(mult(A,B),C),
inference(cp,[status(thm)],[eq_16,eq_73]) ).
cnf(eq_80,plain,
rd(rd(mult(A,B),B),rd(C,B)) = rd(A,rd(C,B)),
inference(cp,[status(thm)],[eq_62,eq_73]) ).
cnf(eq_81,plain,
rd(A,rd(B,C)) = rd(rd(mult(A,C),C),rd(B,C)),
eq_80 ).
cnf(eq_82,plain,
mult(rd(A,B),rd(mult(B,C),C)) = rd(mult(A,C),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_78,eq_16]),eq_1]),eq_16]),eq_62]),eq_62]) ).
cnf(eq_83,plain,
mult(mult(A,B),C) = mult(mult(rd(mult(A,C),C),B),C),
inference(rw,[status(thm)],[eq_77,eq_45]) ).
cnf(eq_84,plain,
rd(mult(A,B),B) = rd(mult(rd(mult(A,C),C),B),B),
inference(rw,[status(thm)],[eq_49,eq_82]) ).
cnf(eq_85,plain,
mult(rd(mult(A,C),C),C) = mult(mult(rd(A,B),B),C),
inference(cp,[status(thm)],[eq_82,eq_45]) ).
cnf(eq_86,plain,
rd(rd(mult(A,C),C),rd(mult(B,C),C)) = rd(mult(rd(A,B),C),C),
inference(cp,[status(thm)],[eq_82,eq_62]) ).
cnf(eq_87,plain,
rd(rd(mult(A,C),C),C) = rd(mult(rd(A,B),B),C),
inference(cp,[status(thm)],[eq_82,eq_79]) ).
cnf(eq_88,plain,
mult(rd(A,A),rd(B,B)) = rd(mult(rd(A,A),B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_70,eq_69]),eq_61]),eq_3]) ).
cnf(eq_89,plain,
mult(A,B) = mult(rd(mult(A,C),C),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_85,eq_3]),eq_16]),eq_1]),eq_3]) ).
cnf(eq_90,plain,
rd(A,B) = rd(rd(mult(A,C),C),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_87,eq_73]),eq_3]) ).
cnf(eq_91,plain,
rd(A,rd(mult(B,C),C)) = rd(mult(rd(A,B),C),C),
inference(rw,[status(thm)],[eq_86,eq_81]) ).
cnf(eq_92,plain,
mult(A,B) = rd(mult(mult(A,B),B),B),
inference(cp,[status(thm)],[eq_89,eq_3]) ).
cnf(eq_93,plain,
rd(A,rd(rd(mult(A,C),C),rd(mult(A,C),C))) = rd(mult(A,C),C),
inference(cp,[status(thm)],[eq_90,eq_46]) ).
cnf(eq_94,plain,
rd(mult(x100,rd(mult(A,B),B)),B) = rd(mult(x100,rd(mult(A,C),C)),B),
inference(cp,[status(thm)],[eq_84,eq_79]) ).
cnf(eq_95,plain,
mult(mult(A,B),C) = mult(rd(mult(mult(rd(mult(A,C),C),B),x102),x102),C),
inference(cp,[status(thm)],[eq_83,eq_89]) ).
cnf(eq_96,plain,
mult(rd(mult(A,B),mult(A,B)),x102) = mult(rd(A,A),x102),
inference(cp,[status(thm)],[eq_63,eq_89]) ).
cnf(eq_97,plain,
mult(rd(rd(mult(A,C),C),rd(mult(B,C),C)),x102) = mult(rd(A,B),x102),
inference(cp,[status(thm)],[eq_82,eq_89]) ).
cnf(eq_98,plain,
rd(mult(A,B),B) = rd(mult(A,C),rd(mult(C,B),B)),
inference(cp,[status(thm)],[eq_84,eq_91]) ).
cnf(eq_99,plain,
rd(rd(mult(A,B),mult(A,B)),x102) = rd(rd(A,A),x102),
inference(cp,[status(thm)],[eq_63,eq_90]) ).
cnf(eq_100,plain,
rd(rd(rd(mult(A,C),C),rd(mult(B,C),C)),x102) = rd(rd(A,B),x102),
inference(cp,[status(thm)],[eq_82,eq_90]) ).
cnf(eq_101,plain,
rd(rd(A,B),C) = rd(rd(A,rd(mult(B,D),D)),C),
inference(rw,[status(thm)],[eq_100,eq_81]) ).
cnf(eq_102,plain,
rd(A,rd(A,rd(mult(A,B),B))) = rd(mult(A,B),B),
inference(rw,[status(thm)],[eq_93,eq_81]) ).
cnf(eq_103,plain,
mult(mult(A,B),C) = mult(mult(A,rd(mult(B,D),D)),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_95,eq_16]),eq_83]) ).
cnf(eq_104,plain,
mult(rd(A,B),C) = mult(rd(A,rd(mult(B,D),D)),C),
inference(rw,[status(thm)],[eq_97,eq_81]) ).
cnf(eq_105,plain,
rd(rd(A,A),B) = rd(rd(mult(A,C),mult(A,C)),B),
eq_99 ).
cnf(eq_106,plain,
mult(rd(A,A),B) = mult(rd(mult(A,C),mult(A,C)),B),
eq_96 ).
cnf(eq_107,plain,
rd(mult(A,B),C) = rd(mult(A,rd(mult(B,D),D)),C),
inference(rw,[status(thm)],[eq_94,eq_79]) ).
cnf(eq_108,plain,
mult(rd(A,A),rd(B,B)) = rd(A,rd(mult(A,B),B)),
inference(rw,[status(thm)],[eq_88,eq_91]) ).
cnf(eq_109,plain,
mult(rd(rd(mult(A,C),mult(A,C)),rd(A,A)),rd(rd(A,A),rd(A,A))) = rd(rd(A,A),rd(A,A)),
inference(cp,[status(thm)],[eq_105,eq_59]) ).
cnf(eq_110,plain,
rd(mult(x100,rd(mult(rd(A,A),C),ld(ld(A,B),C))),x103) = rd(mult(x100,ld(A,B)),x103),
inference(cp,[status(thm)],[eq_50,eq_107]) ).
cnf(eq_111,plain,
rd(rd(rd(mult(A,B),B),mult(rd(A,B),B)),x102) = rd(rd(rd(A,B),rd(A,B)),x102),
inference(cp,[status(thm)],[eq_3,eq_105]) ).
cnf(eq_112,plain,
rd(mult(A,ld(B,C)),D) = rd(mult(A,rd(mult(rd(B,B),x4),ld(ld(B,C),x4))),D),
eq_110 ).
cnf(eq_113,plain,
rd(A,A) = rd(mult(A,B),mult(A,rd(mult(B,A),A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_109,eq_61]),eq_3]),eq_62]),eq_91]),eq_16]),eq_61]) ).
cnf(eq_114,plain,
rd(rd(mult(rd(A,A),B),B),rd(B,B)) = rd(mult(rd(A,A),B),B),
inference(cp,[status(thm)],[eq_88,eq_62]) ).
cnf(eq_115,plain,
rd(rd(rd(mult(rd(A,A),B),B),rd(B,B)),x102) = rd(rd(A,A),x102),
inference(cp,[status(thm)],[eq_88,eq_90]) ).
cnf(eq_116,plain,
rd(A,rd(A,A)) = rd(mult(A,x102),rd(mult(x102,rd(A,A)),rd(A,A))),
inference(cp,[status(thm)],[eq_28,eq_98]) ).
cnf(eq_117,plain,
A = rd(mult(A,B),rd(mult(B,A),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_116,eq_46]),eq_62]) ).
cnf(eq_118,plain,
rd(rd(A,A),B) = rd(rd(rd(A,A),rd(C,C)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_115,eq_91]),eq_101]) ).
cnf(eq_119,plain,
rd(A,rd(mult(A,B),B)) = rd(rd(A,A),rd(B,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_114,eq_91]),eq_101]),eq_91]) ).
cnf(eq_120,plain,
mult(rd(A,A),B) = mult(rd(A,A),mult(rd(C,C),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_75,eq_91]),eq_104]) ).
cnf(eq_121,plain,
rd(rd(A,A),B) = rd(rd(rd(A,C),rd(A,C)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_111,eq_3]),eq_90]),eq_101]) ).
cnf(eq_122,plain,
mult(rd(rd(mult(A,B),B),mult(rd(A,B),B)),x102) = mult(rd(rd(A,B),rd(A,B)),x102),
inference(cp,[status(thm)],[eq_3,eq_106]) ).
cnf(eq_123,plain,
rd(mult(C,mult(A,B)),rd(mult(mult(A,rd(mult(B,D),D)),C),C)) = C,
inference(cp,[status(thm)],[eq_103,eq_117]) ).
cnf(eq_124,plain,
rd(mult(rd(B,B),rd(A,A)),rd(rd(mult(rd(A,A),B),B),rd(B,B))) = rd(B,B),
inference(cp,[status(thm)],[eq_88,eq_117]) ).
cnf(eq_125,plain,
A = rd(mult(A,mult(B,C)),mult(B,rd(mult(C,A),A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_123,eq_16]),eq_89]) ).
cnf(eq_126,plain,
rd(A,A) = rd(rd(A,A),rd(rd(B,B),rd(A,A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_124,eq_108]),eq_91]),eq_101]),eq_101]) ).
cnf(eq_127,plain,
mult(rd(A,A),B) = mult(rd(rd(A,C),rd(A,C)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_122,eq_3]),eq_90]),eq_104]) ).
cnf(eq_128,plain,
rd(rd(mult(A,B),B),mult(rd(A,B),rd(mult(B,rd(A,B)),rd(A,B)))) = rd(rd(A,B),rd(A,B)),
inference(cp,[status(thm)],[eq_3,eq_113]) ).
cnf(eq_129,plain,
rd(mult(A,A),mult(A,A)) = rd(A,A),
inference(cp,[status(thm)],[eq_1,eq_113]) ).
cnf(eq_130,plain,
rd(mult(B,rd(A,B)),mult(B,rd(rd(mult(A,B),B),B))) = rd(B,B),
inference(cp,[status(thm)],[eq_3,eq_113]) ).
cnf(eq_131,plain,
rd(A,A) = rd(mult(A,rd(B,A)),mult(A,rd(B,A))),
inference(rw,[status(thm)],[eq_130,eq_90]) ).
cnf(eq_132,plain,
mult(rd(rd(rd(A,C),rd(A,C)),rd(A,A)),rd(rd(A,A),rd(A,A))) = rd(rd(A,A),rd(A,A)),
inference(cp,[status(thm)],[eq_121,eq_59]) ).
cnf(eq_133,plain,
rd(mult(A,A),rd(A,A)) = mult(A,A),
inference(cp,[status(thm)],[eq_129,eq_46]) ).
cnf(eq_134,plain,
rd(A,A) = rd(rd(A,B),rd(A,rd(mult(B,A),A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_132,eq_61]),eq_3]),eq_62]),eq_91]),eq_91]),eq_61]) ).
cnf(eq_135,plain,
rd(A,rd(rd(A,A),rd(B,B))) = rd(mult(A,B),B),
inference(rw,[status(thm)],[eq_102,eq_119]) ).
cnf(eq_136,plain,
rd(mult(x100,mult(A,A)),rd(mult(A,A),rd(A,A))) = rd(mult(x100,rd(A,A)),rd(A,A)),
inference(cp,[status(thm)],[eq_133,eq_62]) ).
cnf(eq_137,plain,
rd(rd(A,A),rd(B,B)) = rd(rd(A,B),rd(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_128,eq_62]),eq_1]),eq_3]),eq_90]),eq_119]) ).
cnf(eq_138,plain,
rd(mult(A,B),B) = rd(mult(A,mult(B,B)),mult(B,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_136,eq_133]),eq_62]) ).
cnf(eq_139,plain,
rd(mult(rd(x100,x101),rd(x100,x101)),rd(x100,x101)) = mult(rd(x100,x100),rd(x100,x101)),
inference(cp,[status(thm)],[eq_3,eq_127]) ).
cnf(eq_140,plain,
rd(mult(A,mult(x101,A)),mult(x101,A)) = A,
inference(cp,[status(thm)],[eq_1,eq_125]) ).
cnf(eq_141,plain,
mult(rd(A,A),rd(A,B)) = rd(A,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_139,eq_62]),eq_3]),eq_90]) ).
cnf(eq_142,plain,
A = rd(mult(A,mult(B,A)),mult(B,A)),
eq_140 ).
cnf(eq_143,plain,
rd(mult(A,rd(B,A)),rd(A,A)) = mult(A,rd(B,A)),
inference(cp,[status(thm)],[eq_131,eq_46]) ).
cnf(eq_144,plain,
rd(mult(x100,rd(rd(A,B),ld(ld(A,x103),rd(A,B)))),x104) = rd(mult(x100,ld(A,x103)),x104),
inference(cp,[status(thm)],[eq_141,eq_112]) ).
cnf(eq_145,plain,
rd(rd(mult(A,mult(B,B)),mult(B,B)),rd(mult(A,B),rd(mult(B,mult(A,B)),mult(A,B)))) = rd(mult(A,B),mult(A,B)),
inference(cp,[status(thm)],[eq_138,eq_134]) ).
cnf(eq_146,plain,
rd(mult(A,B),mult(A,B)) = rd(rd(A,A),rd(B,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_145,eq_142]),eq_90]),eq_119]) ).
cnf(eq_147,plain,
rd(mult(A,ld(B,C)),D) = rd(mult(A,rd(rd(B,x4),ld(ld(B,C),rd(B,x4)))),D),
eq_144 ).
cnf(eq_148,plain,
mult(rd(A,A),rd(B,B)) = rd(A,rd(A,rd(rd(A,A),rd(B,B)))),
inference(rw,[status(thm)],[eq_108,eq_135]) ).
cnf(eq_149,plain,
rd(rd(B,B),rd(rd(A,B),rd(A,B))) = rd(B,B),
inference(cp,[status(thm)],[eq_137,eq_126]) ).
cnf(eq_150,plain,
rd(A,A) = rd(rd(A,A),rd(rd(B,A),rd(B,A))),
eq_149 ).
cnf(eq_151,plain,
A = rd(mult(A,B),mult(rd(B,A),A)),
inference(rw,[status(thm)],[eq_117,eq_3]) ).
cnf(eq_152,plain,
ld(A,B) = ld(ld(A,A),ld(A,B)),
inference(rw,[status(thm)],[eq_65,eq_25]) ).
cnf(eq_153,plain,
ld(rd(A,B),rd(A,B)) = rd(ld(A,A),ld(B,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_137,eq_25]),eq_25]),eq_25]) ).
cnf(eq_154,plain,
A = mult(rd(A,mult(B,A)),mult(B,A)),
inference(rw,[status(thm)],[eq_142,eq_3]) ).
cnf(eq_155,plain,
mult(ld(A,A),B) = ld(ld(A,A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_68,eq_25]),eq_25]) ).
cnf(eq_156,plain,
mult(ld(A,A),rd(A,B)) = rd(A,B),
inference(rw,[status(thm)],[eq_141,eq_25]) ).
cnf(eq_157,plain,
mult(A,ld(mult(A,ld(A,A)),x102)) = mult(rd(A,A),x102),
inference(cp,[status(thm)],[eq_63,eq_74]) ).
cnf(eq_158,plain,
mult(A,ld(A,B)) = mult(rd(A,A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_157,eq_25]),eq_28]) ).
cnf(eq_159,plain,
mult(A,ld(A,B)) = mult(ld(A,A),B),
inference(rw,[status(thm)],[eq_158,eq_25]) ).
cnf(eq_160,plain,
rd(mult(x100,rd(rd(A,x102),mult(ld(A,A),rd(A,x102)))),x104) = rd(mult(x100,ld(A,A)),x104),
inference(cp,[status(thm)],[eq_155,eq_147]) ).
cnf(eq_161,plain,
rd(mult(A,ld(B,B)),C) = rd(mult(A,ld(rd(B,D),rd(B,D))),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_160,eq_156]),eq_25]) ).
cnf(eq_162,plain,
rd(mult(x100,ld(rd(mult(A,B),mult(rd(B,A),A)),A)),x103) = rd(mult(x100,ld(mult(A,B),mult(A,B))),x103),
inference(cp,[status(thm)],[eq_151,eq_161]) ).
cnf(eq_163,plain,
rd(mult(A,ld(B,B)),C) = rd(mult(A,ld(mult(B,D),mult(B,D))),C),
inference(rw,[status(thm)],[eq_162,eq_151]) ).
cnf(eq_164,plain,
mult(A,mult(A,ld(A,B))) = mult(rd(A,A),mult(A,B)),
inference(cp,[status(thm)],[eq_2,eq_158]) ).
cnf(eq_165,plain,
ld(A,mult(rd(A,A),B)) = mult(A,ld(A,ld(A,B))),
inference(cp,[status(thm)],[eq_158,eq_2]) ).
cnf(eq_166,plain,
rd(mult(rd(B,B),rd(rd(A,B),rd(A,B))),rd(rd(B,B),rd(B,B))) = mult(rd(B,B),rd(rd(A,A),rd(B,B))),
inference(cp,[status(thm)],[eq_137,eq_143]) ).
cnf(eq_167,plain,
ld(A,B) = ld(A,mult(rd(A,A),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_165,eq_158]),eq_57]) ).
cnf(eq_168,plain,
mult(A,B) = mult(A,mult(rd(A,A),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_164,eq_158]),eq_63]) ).
cnf(eq_169,plain,
mult(A,mult(rd(A,A),B)) = mult(A,mult(rd(C,C),B)),
inference(cp,[status(thm)],[eq_120,eq_168]) ).
cnf(eq_170,plain,
ld(A,mult(rd(A,A),B)) = ld(A,mult(rd(C,C),B)),
inference(cp,[status(thm)],[eq_120,eq_167]) ).
cnf(eq_171,plain,
mult(A,B) = rd(mult(A,B),rd(rd(A,A),rd(B,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_92,eq_135]),eq_105]) ).
cnf(eq_172,plain,
mult(A,B) = mult(A,mult(rd(C,C),B)),
inference(rw,[status(thm)],[eq_169,eq_168]) ).
cnf(eq_173,plain,
ld(A,B) = ld(A,mult(rd(C,C),B)),
inference(rw,[status(thm)],[eq_170,eq_167]) ).
cnf(eq_174,plain,
mult(rd(A,A),rd(rd(B,B),rd(A,A))) = rd(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_166,eq_148]),eq_61]),eq_150]),eq_46]),eq_61]) ).
cnf(eq_175,plain,
mult(mult(A,B),rd(rd(A,A),rd(B,B))) = mult(A,B),
inference(cp,[status(thm)],[eq_146,eq_28]) ).
cnf(eq_176,plain,
mult(A,B) = mult(mult(A,B),rd(rd(A,A),rd(B,B))),
eq_175 ).
cnf(eq_177,plain,
mult(x100,rd(A,A)) = mult(x100,rd(rd(B,B),rd(A,A))),
inference(cp,[status(thm)],[eq_174,eq_172]) ).
cnf(eq_178,plain,
mult(A,rd(B,B)) = mult(A,rd(rd(C,C),rd(B,B))),
eq_177 ).
cnf(eq_179,plain,
rd(mult(A,rd(B,B)),C) = rd(mult(A,rd(D,D)),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_163,eq_25]),eq_25]),eq_146]),eq_178]) ).
cnf(eq_180,plain,
mult(A,B) = mult(mult(A,B),rd(B,B)),
inference(rw,[status(thm)],[eq_176,eq_178]) ).
cnf(eq_181,plain,
rd(mult(A,B),rd(B,B)) = rd(mult(A,B),rd(rd(mult(A,B),mult(A,B)),rd(rd(B,B),rd(B,B)))),
inference(cp,[status(thm)],[eq_180,eq_135]) ).
cnf(eq_182,plain,
mult(A,B) = rd(mult(A,B),rd(B,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_181,eq_146]),eq_61]),eq_118]),eq_171]) ).
cnf(eq_183,plain,
rd(mult(A,B),B) = rd(A,rd(ld(A,A),ld(B,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_135,eq_25]),eq_25]) ).
cnf(eq_184,plain,
mult(A,B) = mult(A,ld(ld(C,C),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_172,eq_25]),eq_155]) ).
cnf(eq_185,plain,
ld(A,B) = ld(A,ld(ld(C,C),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_173,eq_25]),eq_155]) ).
cnf(eq_186,plain,
rd(mult(A,ld(B,B)),C) = rd(mult(A,ld(D,D)),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_179,eq_25]),eq_25]) ).
cnf(eq_187,plain,
mult(A,B) = rd(mult(A,B),ld(B,B)),
inference(rw,[status(thm)],[eq_182,eq_25]) ).
cnf(eq_188,plain,
ld(ld(A,A),ld(B,B)) = rd(ld(ld(A,A),B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_88,eq_25]),eq_25]),eq_155]),eq_25]),eq_155]) ).
cnf(eq_189,plain,
mult(A,ld(A,B)) = ld(ld(A,A),B),
inference(rw,[status(thm)],[eq_155,eq_159]) ).
cnf(eq_190,negated_conjecture,
mult(x6,rd(mult(x6,ld(x6,ld(x7,x8))),ld(x7,x8))) != rd(x6,rd(ld(x6,x6),ld(x8,x8))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_25]),eq_159]),eq_183]) ).
cnf(eq_191,plain,
rd(A,x102) = rd(mult(A,ld(x103,x103)),x102),
inference(cp,[status(thm)],[eq_11,eq_186]) ).
cnf(eq_192,plain,
rd(A,B) = rd(mult(A,ld(C,C)),B),
eq_191 ).
cnf(eq_193,plain,
rd(A,ld(mult(B,A),mult(B,A))) = mult(rd(A,mult(B,A)),mult(B,A)),
inference(cp,[status(thm)],[eq_154,eq_187]) ).
cnf(eq_194,plain,
rd(mult(x100,ld(B,B)),ld(B,B)) = mult(x100,ld(B,B)),
inference(cp,[status(thm)],[eq_152,eq_187]) ).
cnf(eq_195,plain,
A = rd(A,ld(mult(B,A),mult(B,A))),
inference(rw,[status(thm)],[eq_193,eq_154]) ).
cnf(eq_196,plain,
mult(A,ld(B,B)) = rd(A,ld(B,B)),
inference(rw,[status(thm)],[eq_194,eq_192]) ).
cnf(eq_197,plain,
rd(A,ld(B,B)) = rd(A,ld(rd(C,B),rd(C,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_178,eq_25]),eq_196]),eq_25]),eq_25]),eq_153]),eq_196]) ).
cnf(eq_198,plain,
rd(x100,ld(A,rd(A,ld(mult(B,A),mult(B,A))))) = rd(x100,ld(ld(mult(B,A),mult(B,A)),ld(mult(B,A),mult(B,A)))),
inference(cp,[status(thm)],[eq_195,eq_197]) ).
cnf(eq_199,plain,
rd(A,ld(B,B)) = rd(A,ld(mult(C,B),mult(C,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_198,eq_195]),eq_152]) ).
cnf(eq_200,plain,
rd(x100,ld(ld(ld(A,A),B),mult(A,ld(A,B)))) = rd(x100,ld(ld(A,B),ld(A,B))),
inference(cp,[status(thm)],[eq_189,eq_199]) ).
cnf(eq_201,plain,
rd(x100,ld(mult(A,ld(ld(C,C),B)),mult(A,B))) = rd(x100,ld(ld(ld(C,C),B),ld(ld(C,C),B))),
inference(cp,[status(thm)],[eq_184,eq_199]) ).
cnf(eq_202,plain,
rd(A,ld(B,B)) = rd(A,ld(ld(ld(C,C),B),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_201,eq_184]),eq_199]),eq_185]) ).
cnf(eq_203,plain,
rd(A,ld(B,B)) = rd(A,ld(ld(C,B),ld(C,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_200,eq_189]),eq_185]),eq_202]) ).
cnf(eq_204,negated_conjecture,
rd(x6,ld(x8,x8)) != rd(x6,ld(x8,x8)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_190,eq_189]),eq_188]),eq_184]),eq_196]),eq_203]),eq_153]),eq_197]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP685-10 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 04:21:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 17.26/17.47 % SZS status Unsatisfiable
% 17.26/17.47 % SZS output start CNFRefutation for /tmp/MaedMax_22750
% See solution above
% 17.26/17.47
%------------------------------------------------------------------------------