TSTP Solution File: GRP684-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP684-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n017.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 3.71s 3.95s
% Output : CNFRefutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 8
% Syntax : Number of clauses : 136 ( 136 unt; 0 nHn; 10 RR)
% Number of literals : 136 ( 135 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 242 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = ld(A,mult(A,A)),
file('/tmp/MaedMax_11378') ).
cnf(eq_1,axiom,
A = rd(mult(A,A),A),
file('/tmp/MaedMax_11378') ).
cnf(eq_2,axiom,
mult(A,ld(A,B)) = ld(A,mult(A,B)),
file('/tmp/MaedMax_11378') ).
cnf(eq_3,axiom,
mult(rd(A,B),B) = rd(mult(A,B),B),
file('/tmp/MaedMax_11378') ).
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_11378') ).
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_11378') ).
cnf(eq_6,axiom,
ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
file('/tmp/MaedMax_11378') ).
cnf(eq_7,negated_conjecture,
rd(mult(a,mult(b,c)),mult(b,c)) != rd(mult(a,c),c),
file('/tmp/MaedMax_11378') ).
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,
mult(A,mult(rd(B,C),C)) = mult(rd(mult(A,B),rd(D,C)),rd(D,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_3]),eq_3]) ).
cnf(eq_12,plain,
A = mult(A,ld(A,A)),
inference(rw,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_13,negated_conjecture,
mult(rd(a,mult(b,c)),mult(b,c)) != mult(rd(a,c),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_3]),eq_3]) ).
cnf(eq_14,plain,
ld(A,A) = mult(A,ld(A,ld(A,A))),
inference(cp,[status(thm)],[eq_12,eq_2]) ).
cnf(eq_15,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_16,plain,
mult(ld(x100,x101),ld(ld(x100,x101),A)) = mult(mult(x100,ld(x100,A)),ld(A,A)),
inference(cp,[status(thm)],[eq_12,eq_8]) ).
cnf(eq_17,plain,
mult(A,rd(mult(B,C),C)) = rd(mult(mult(A,B),C),C),
inference(rw,[status(thm)],[eq_15,eq_1]) ).
cnf(eq_18,plain,
mult(A,ld(A,ld(A,A))) = ld(A,A),
eq_14 ).
cnf(eq_19,plain,
mult(mult(A,ld(A,B)),ld(B,B)) = mult(ld(A,C),ld(ld(A,C),B)),
eq_16 ).
cnf(eq_20,plain,
mult(rd(rd(A,A),A),A) = ld(A,A),
inference(rw,[status(thm)],[eq_18,eq_9]) ).
cnf(eq_21,plain,
mult(A,mult(rd(B,C),C)) = mult(rd(mult(A,B),C),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_3]),eq_3]) ).
cnf(eq_22,plain,
ld(x101,x101) = mult(rd(rd(ld(x101,x101),ld(x101,x101)),x101),x101),
inference(cp,[status(thm)],[eq_12,eq_9]) ).
cnf(eq_23,plain,
mult(rd(A,rd(x102,x103)),rd(x102,x103)) = mult(rd(A,A),mult(rd(A,x103),x103)),
inference(cp,[status(thm)],[eq_10,eq_11]) ).
cnf(eq_24,plain,
ld(rd(A,A),A) = mult(rd(A,A),ld(rd(A,A),A)),
inference(cp,[status(thm)],[eq_10,eq_2]) ).
cnf(eq_25,plain,
rd(A,ld(A,A)) = mult(rd(A,ld(A,A)),ld(A,A)),
inference(cp,[status(thm)],[eq_12,eq_3]) ).
cnf(eq_26,plain,
rd(A,A) = mult(rd(rd(A,A),A),A),
inference(cp,[status(thm)],[eq_10,eq_3]) ).
cnf(eq_27,plain,
mult(rd(A,A),mult(rd(A,B),B)) = mult(rd(A,rd(C,B)),rd(C,B)),
eq_23 ).
cnf(eq_28,plain,
mult(rd(rd(A,A),A),A) = rd(A,A),
eq_26 ).
cnf(eq_29,plain,
mult(rd(A,A),ld(rd(A,A),A)) = ld(rd(A,A),A),
eq_24 ).
cnf(eq_30,plain,
mult(rd(rd(ld(A,A),ld(A,A)),A),A) = ld(A,A),
eq_22 ).
cnf(eq_31,plain,
mult(rd(A,ld(A,A)),ld(A,A)) = rd(A,ld(A,A)),
eq_25 ).
cnf(eq_32,plain,
ld(A,A) = rd(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_9]),eq_18]) ).
cnf(eq_33,plain,
mult(x100,A) = mult(rd(mult(x100,A),A),A),
inference(cp,[status(thm)],[eq_10,eq_21]) ).
cnf(eq_34,plain,
mult(A,mult(rd(B,C),C)) = mult(A,mult(rd(B,rd(D,C)),rd(D,C))),
inference(cp,[status(thm)],[eq_11,eq_21]) ).
cnf(eq_35,plain,
mult(rd(A,x102),x102) = mult(A,mult(rd(ld(A,A),x102),x102)),
inference(cp,[status(thm)],[eq_12,eq_21]) ).
cnf(eq_36,plain,
mult(rd(A,x102),x102) = mult(rd(A,A),mult(rd(A,x102),x102)),
inference(cp,[status(thm)],[eq_10,eq_21]) ).
cnf(eq_37,plain,
mult(A,B) = mult(mult(rd(A,B),B),B),
inference(rw,[status(thm)],[eq_33,eq_3]) ).
cnf(eq_38,plain,
mult(rd(A,B),B) = mult(rd(A,A),mult(rd(A,B),B)),
eq_36 ).
cnf(eq_39,plain,
mult(A,mult(rd(ld(A,A),B),B)) = mult(rd(A,B),B),
eq_35 ).
cnf(eq_40,plain,
mult(A,ld(A,ld(B,B))) = mult(rd(ld(A,A),B),B),
inference(rw,[status(thm)],[eq_9,eq_32]) ).
cnf(eq_41,plain,
mult(rd(ld(ld(A,A),ld(A,A)),A),A) = ld(A,A),
inference(rw,[status(thm)],[eq_30,eq_32]) ).
cnf(eq_42,plain,
mult(rd(ld(A,A),A),A) = ld(A,A),
inference(rw,[status(thm)],[eq_20,eq_32]) ).
cnf(eq_43,plain,
A = mult(ld(A,A),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_1,eq_3]),eq_32]) ).
cnf(eq_44,plain,
mult(rd(A,ld(A,A)),ld(A,A)) = mult(A,ld(A,A)),
inference(cp,[status(thm)],[eq_31,eq_37]) ).
cnf(eq_45,plain,
A = rd(A,ld(A,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_44,eq_31]),eq_12]) ).
cnf(eq_46,plain,
mult(A,rd(mult(B,C),C)) = mult(A,rd(mult(B,rd(D,C)),rd(D,C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_3]),eq_3]),eq_17]) ).
cnf(eq_47,plain,
mult(A,ld(A,rd(B,B))) = rd(mult(rd(A,A),B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_32]),eq_3]) ).
cnf(eq_48,plain,
A = mult(A,rd(A,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_32]) ).
cnf(eq_49,plain,
mult(rd(A,A),rd(mult(A,B),B)) = rd(mult(A,B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_3]),eq_3]) ).
cnf(eq_50,plain,
A = rd(A,rd(A,A)),
inference(rw,[status(thm)],[eq_45,eq_32]) ).
cnf(eq_51,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_39,eq_32]),eq_3]),eq_3]) ).
cnf(eq_52,plain,
mult(rd(A,A),ld(ld(A,A),mult(x102,x103))) = mult(mult(A,ld(A,x102)),x103),
inference(cp,[status(thm)],[eq_32,eq_8]) ).
cnf(eq_53,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_17]) ).
cnf(eq_54,plain,
mult(rd(A,B),rd(mult(B,C),C)) = rd(mult(rd(mult(A,B),B),C),C),
eq_53 ).
cnf(eq_55,plain,
mult(mult(A,ld(A,B)),C) = mult(rd(A,A),ld(rd(A,A),mult(B,C))),
inference(rw,[status(thm)],[eq_52,eq_32]) ).
cnf(eq_56,plain,
mult(ld(A,A),ld(A,A)) = mult(rd(ld(A,A),A),A),
inference(cp,[status(thm)],[eq_41,eq_39]) ).
cnf(eq_57,plain,
mult(ld(x100,x101),ld(ld(x100,x101),A)) = mult(mult(x100,ld(x100,ld(A,A))),A),
inference(cp,[status(thm)],[eq_43,eq_8]) ).
cnf(eq_58,plain,
mult(ld(A,A),ld(A,A)) = ld(A,A),
inference(rw,[status(thm)],[eq_56,eq_42]) ).
cnf(eq_59,plain,
mult(mult(A,ld(A,ld(B,B))),B) = mult(ld(A,C),ld(ld(A,C),B)),
eq_57 ).
cnf(eq_60,plain,
mult(rd(A,A),rd(A,A)) = rd(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_32]),eq_32]),eq_32]) ).
cnf(eq_61,plain,
mult(ld(x100,x101),ld(ld(x100,x101),A)) = mult(mult(x100,ld(x100,A)),rd(A,A)),
inference(cp,[status(thm)],[eq_48,eq_8]) ).
cnf(eq_62,plain,
mult(mult(A,ld(A,B)),rd(B,B)) = mult(ld(A,C),ld(ld(A,C),B)),
eq_61 ).
cnf(eq_63,plain,
mult(mult(A,ld(A,ld(B,B))),B) = mult(ld(A,A),B),
inference(cp,[status(thm)],[eq_40,eq_37]) ).
cnf(eq_64,plain,
rd(ld(A,A),ld(A,A)) = mult(rd(ld(A,A),ld(A,A)),ld(A,A)),
inference(cp,[status(thm)],[eq_58,eq_3]) ).
cnf(eq_65,plain,
ld(A,A) = ld(ld(A,A),ld(A,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_32]),eq_32]),eq_43]) ).
cnf(eq_66,plain,
mult(mult(A,ld(A,rd(B,B))),B) = mult(rd(A,A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_63,eq_32]),eq_32]) ).
cnf(eq_67,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)],[eq_65,eq_32]),eq_32]),eq_32]),eq_32]) ).
cnf(eq_68,plain,
mult(rd(B,B),rd(mult(B,rd(D,C)),rd(D,C))) = rd(mult(B,C),C),
inference(cp,[status(thm)],[eq_46,eq_49]) ).
cnf(eq_69,plain,
mult(x100,rd(x102,x103)) = mult(x100,rd(mult(rd(x102,x103),x103),x103)),
inference(cp,[status(thm)],[eq_1,eq_46]) ).
cnf(eq_70,plain,
mult(mult(A,mult(rd(rd(A,A),A),A)),x102) = mult(rd(A,A),ld(rd(A,A),mult(A,x102))),
inference(cp,[status(thm)],[eq_20,eq_55]) ).
cnf(eq_71,plain,
mult(mult(A,mult(rd(rd(A,A),A),A)),rd(A,A)) = mult(ld(A,x102),ld(ld(A,x102),A)),
inference(cp,[status(thm)],[eq_20,eq_62]) ).
cnf(eq_72,plain,
mult(rd(x100,x100),ld(rd(x100,x100),rd(A,A))) = mult(mult(x100,ld(x100,rd(A,A))),rd(A,A)),
inference(cp,[status(thm)],[eq_60,eq_55]) ).
cnf(eq_73,plain,
mult(rd(x100,A),rd(A,rd(A,A))) = rd(mult(rd(mult(x100,A),A),rd(A,A)),rd(A,A)),
inference(cp,[status(thm)],[eq_48,eq_54]) ).
cnf(eq_74,plain,
rd(mult(A,B),B) = rd(mult(A,rd(C,B)),rd(C,B)),
inference(rw,[status(thm)],[eq_68,eq_49]) ).
cnf(eq_75,plain,
A = mult(ld(A,B),ld(ld(A,B),A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_71,eq_3]),eq_3]),eq_1]),eq_48]),eq_48]) ).
cnf(eq_76,plain,
mult(A,rd(B,C)) = mult(A,rd(rd(mult(B,C),C),C)),
inference(rw,[status(thm)],[eq_69,eq_3]) ).
cnf(eq_77,plain,
rd(mult(A,B),B) = rd(mult(rd(mult(A,B),B),rd(B,B)),rd(B,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_73,eq_50]),eq_3]) ).
cnf(eq_78,plain,
mult(A,B) = mult(rd(A,A),ld(rd(A,A),mult(A,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_70,eq_3]),eq_3]),eq_1]),eq_48]) ).
cnf(eq_79,plain,
mult(rd(mult(A,B),B),rd(C,B)) = rd(mult(mult(A,rd(C,B)),rd(C,B)),rd(C,B)),
inference(cp,[status(thm)],[eq_74,eq_3]) ).
cnf(eq_80,plain,
rd(x101,x102) = rd(mult(rd(x101,x102),x102),x102),
inference(cp,[status(thm)],[eq_1,eq_74]) ).
cnf(eq_81,plain,
rd(rd(mult(A,B),B),rd(mult(rd(A,A),B),B)) = rd(mult(A,B),B),
inference(cp,[status(thm)],[eq_51,eq_74]) ).
cnf(eq_82,plain,
rd(rd(mult(A,B),B),rd(mult(A,B),B)) = rd(mult(rd(A,A),B),B),
inference(cp,[status(thm)],[eq_49,eq_74]) ).
cnf(eq_83,plain,
rd(A,B) = rd(rd(mult(A,B),B),B),
inference(rw,[status(thm)],[eq_80,eq_3]) ).
cnf(eq_84,plain,
mult(A,rd(B,C)) = mult(rd(mult(A,C),C),rd(B,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_79,eq_74]),eq_17]),eq_3]),eq_76]) ).
cnf(eq_85,plain,
rd(rd(mult(rd(mult(A,C),C),rd(B,C)),rd(B,C)),rd(B,C)) = rd(A,rd(B,C)),
inference(cp,[status(thm)],[eq_84,eq_83]) ).
cnf(eq_86,plain,
rd(A,rd(B,C)) = rd(rd(mult(A,C),C),rd(B,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_85,eq_74]),eq_3]),eq_17]),eq_1]) ).
cnf(eq_87,plain,
rd(A,rd(mult(A,B),B)) = rd(mult(rd(A,A),B),B),
inference(rw,[status(thm)],[eq_82,eq_86]) ).
cnf(eq_88,plain,
rd(A,rd(mult(rd(A,A),B),B)) = rd(mult(A,B),B),
inference(rw,[status(thm)],[eq_81,eq_86]) ).
cnf(eq_89,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)],[inference(rw,[status(thm)],[eq_72,eq_47]),eq_67]),eq_47]),eq_84]) ).
cnf(eq_90,plain,
mult(A,rd(rd(mult(rd(A,A),B),B),rd(B,B))) = rd(mult(A,rd(B,B)),rd(B,B)),
inference(cp,[status(thm)],[eq_89,eq_51]) ).
cnf(eq_91,plain,
mult(rd(A,rd(mult(rd(A,A),B),B)),B) = rd(mult(mult(A,B),B),B),
inference(cp,[status(thm)],[eq_88,eq_3]) ).
cnf(eq_92,plain,
rd(A,rd(rd(mult(rd(A,A),B),B),rd(B,B))) = rd(mult(A,rd(B,B)),rd(B,B)),
inference(cp,[status(thm)],[eq_89,eq_88]) ).
cnf(eq_93,plain,
mult(rd(A,A),rd(B,B)) = rd(A,rd(mult(A,B),B)),
inference(cp,[status(thm)],[eq_89,eq_87]) ).
cnf(eq_94,plain,
rd(rd(mult(rd(A,A),B),B),rd(B,B)) = rd(A,rd(mult(A,rd(B,B)),rd(B,B))),
inference(cp,[status(thm)],[eq_89,eq_87]) ).
cnf(eq_95,plain,
mult(A,rd(rd(A,A),rd(B,B))) = rd(mult(A,B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_90,eq_86]),eq_74]) ).
cnf(eq_96,plain,
rd(A,rd(rd(A,A),rd(B,B))) = rd(mult(A,B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_92,eq_86]),eq_74]) ).
cnf(eq_97,plain,
mult(A,B) = mult(rd(A,rd(mult(rd(A,A),B),B)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_91,eq_17]),eq_1]) ).
cnf(eq_98,plain,
rd(A,rd(mult(A,B),B)) = rd(rd(A,A),rd(B,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_94,eq_86]),eq_74]) ).
cnf(eq_99,plain,
mult(mult(A,ld(A,B)),rd(B,B)) = mult(rd(A,A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_32]),eq_66]),eq_62]) ).
cnf(eq_100,plain,
rd(A,rd(B,C)) = rd(rd(A,rd(rd(A,A),rd(C,C))),rd(B,C)),
inference(rw,[status(thm)],[eq_86,eq_96]) ).
cnf(eq_101,plain,
mult(A,rd(rd(A,A),rd(B,B))) = rd(A,rd(rd(A,A),rd(B,B))),
inference(rw,[status(thm)],[eq_95,eq_96]) ).
cnf(eq_102,plain,
rd(A,rd(A,rd(rd(A,A),rd(B,B)))) = rd(rd(A,A),rd(B,B)),
inference(rw,[status(thm)],[eq_98,eq_96]) ).
cnf(eq_103,plain,
mult(rd(A,B),B) = rd(A,rd(rd(A,A),rd(B,B))),
inference(rw,[status(thm)],[eq_3,eq_96]) ).
cnf(eq_104,plain,
mult(x100,rd(x102,x103)) = mult(x100,mult(rd(rd(x102,x103),x103),x103)),
inference(cp,[status(thm)],[eq_10,eq_34]) ).
cnf(eq_105,plain,
mult(rd(x100,x100),ld(rd(x100,x100),A)) = mult(mult(x100,ld(x100,rd(A,A))),A),
inference(cp,[status(thm)],[eq_10,eq_55]) ).
cnf(eq_106,plain,
mult(rd(A,B),B) = mult(rd(A,rd(C,B)),rd(C,B)),
inference(rw,[status(thm)],[eq_27,eq_38]) ).
cnf(eq_107,plain,
mult(A,mult(rd(rd(B,C),C),C)) = mult(A,rd(B,C)),
eq_104 ).
cnf(eq_108,plain,
mult(rd(rd(B,C),rd(B,C)),mult(rd(rd(B,C),C),C)) = rd(B,C),
inference(cp,[status(thm)],[eq_107,eq_10]) ).
cnf(eq_109,plain,
mult(rd(A,rd(rd(A,A),rd(B,B))),B) = rd(mult(A,B),rd(rd(mult(A,B),mult(A,B)),rd(B,B))),
inference(cp,[status(thm)],[eq_96,eq_103]) ).
cnf(eq_110,plain,
mult(rd(rd(A,B),B),B) = rd(A,B),
inference(rw,[status(thm)],[eq_108,eq_38]) ).
cnf(eq_111,plain,
mult(rd(A,A),B) = mult(rd(A,A),ld(rd(A,A),B)),
inference(rw,[status(thm)],[eq_105,eq_66]) ).
cnf(eq_112,negated_conjecture,
mult(rd(a,rd(C,c)),rd(C,c)) != mult(rd(a,mult(b,c)),mult(b,c)),
inference(cp,[status(thm)],[eq_106,eq_13]) ).
cnf(eq_113,negated_conjecture,
mult(rd(a,mult(b,c)),mult(b,c)) != mult(rd(a,rd(A,c)),rd(A,c)),
eq_112 ).
cnf(eq_114,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(rd(A,A),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_32]),eq_99]) ).
cnf(eq_115,plain,
mult(rd(A,A),ld(ld(A,A),A)) = A,
inference(cp,[status(thm)],[eq_32,eq_75]) ).
cnf(eq_116,plain,
A = ld(rd(A,A),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_115,eq_32]),eq_29]) ).
cnf(eq_117,plain,
mult(A,ld(ld(rd(A,A),A),x102)) = mult(rd(rd(A,A),rd(A,A)),x102),
inference(cp,[status(thm)],[eq_116,eq_114]) ).
cnf(eq_118,plain,
mult(A,B) = mult(rd(A,A),mult(A,B)),
inference(rw,[status(thm)],[eq_78,eq_111]) ).
cnf(eq_119,plain,
mult(A,ld(A,B)) = mult(rd(A,A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_117,eq_116]),eq_67]) ).
cnf(eq_120,plain,
mult(A,B) = mult(A,ld(A,mult(A,B))),
inference(cp,[status(thm)],[eq_118,eq_119]) ).
cnf(eq_121,plain,
mult(A,B) = mult(A,mult(A,ld(A,B))),
inference(rw,[status(thm)],[eq_120,eq_2]) ).
cnf(eq_122,plain,
mult(A,B) = mult(A,mult(rd(A,A),B)),
inference(rw,[status(thm)],[eq_121,eq_119]) ).
cnf(eq_123,plain,
mult(A,rd(A,rd(mult(A,B),B))) = mult(A,rd(B,B)),
inference(cp,[status(thm)],[eq_93,eq_122]) ).
cnf(eq_124,plain,
mult(A,rd(B,B)) = rd(A,rd(rd(A,A),rd(B,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_123,eq_96]),eq_102]),eq_101]) ).
cnf(eq_125,plain,
rd(A,rd(B,B)) = rd(A,rd(rd(A,A),rd(B,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_77,eq_96]),eq_96]),eq_124]),eq_100]),eq_100]) ).
cnf(eq_126,plain,
mult(rd(A,B),B) = rd(A,rd(B,B)),
inference(rw,[status(thm)],[eq_103,eq_125]) ).
cnf(eq_127,plain,
rd(mult(A,B),B) = rd(A,rd(B,B)),
inference(rw,[status(thm)],[eq_96,eq_125]) ).
cnf(eq_128,plain,
rd(A,rd(B,B)) = rd(A,rd(rd(C,B),rd(C,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_127]),eq_127]) ).
cnf(eq_129,plain,
mult(A,B) = mult(rd(A,rd(B,B)),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_97,eq_127]),eq_125]) ).
cnf(eq_130,plain,
rd(A,B) = rd(rd(A,B),rd(B,B)),
inference(rw,[status(thm)],[eq_110,eq_126]) ).
cnf(eq_131,plain,
mult(A,B) = rd(mult(A,B),rd(B,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_109,eq_125]),eq_129]),eq_125]) ).
cnf(eq_132,plain,
rd(x100,rd(rd(mult(A,B),rd(B,B)),mult(A,B))) = rd(x100,rd(rd(B,B),rd(B,B))),
inference(cp,[status(thm)],[eq_131,eq_128]) ).
cnf(eq_133,plain,
rd(A,rd(B,B)) = rd(A,rd(mult(C,B),mult(C,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_132,eq_131]),eq_130]) ).
cnf(eq_134,negated_conjecture,
rd(a,rd(c,c)) != rd(a,rd(c,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_113,eq_126]),eq_133]),eq_126]),eq_128]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP684-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n017.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 03:34:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.71/3.95 % SZS status Unsatisfiable
% 3.71/3.95 % SZS output start CNFRefutation for /tmp/MaedMax_11378
% See solution above
% 3.71/3.95
%------------------------------------------------------------------------------