TSTP Solution File: GRP682-10 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP682-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n010.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 07:03:09 EDT 2022
% Result : Unsatisfiable 2.73s 2.90s
% Output : CNFRefutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of clauses : 106 ( 106 unt; 0 nHn; 10 RR)
% Number of literals : 106 ( 105 equ; 6 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 : 186 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = ld(A,mult(A,A)),
file('/tmp/MaedMax_8523') ).
cnf(eq_1,axiom,
A = rd(mult(A,A),A),
file('/tmp/MaedMax_8523') ).
cnf(eq_2,axiom,
mult(A,ld(A,B)) = ld(A,mult(A,B)),
file('/tmp/MaedMax_8523') ).
cnf(eq_3,axiom,
mult(rd(A,B),B) = rd(mult(A,B),B),
file('/tmp/MaedMax_8523') ).
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_8523') ).
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_8523') ).
cnf(eq_6,axiom,
ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
file('/tmp/MaedMax_8523') ).
cnf(eq_7,negated_conjecture,
ld(ld(x0,x1),mult(ld(x0,x1),x2)) != ld(x0,mult(x0,x2)),
file('/tmp/MaedMax_8523') ).
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(ld(x0,x1),ld(ld(x0,x1),x2)) != mult(x0,ld(x0,x2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_2]),eq_2]) ).
cnf(eq_14,plain,
mult(A,ld(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
inference(rw,[status(thm)],[eq_9,eq_3]) ).
cnf(eq_15,plain,
ld(A,A) = mult(A,ld(A,ld(A,A))),
inference(cp,[status(thm)],[eq_12,eq_2]) ).
cnf(eq_16,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_17,plain,
mult(A,x102) = mult(ld(A,x103),ld(ld(A,x103),mult(A,x102))),
inference(cp,[status(thm)],[eq_12,eq_8]) ).
cnf(eq_18,plain,
mult(A,rd(mult(B,C),C)) = rd(mult(mult(A,B),C),C),
inference(rw,[status(thm)],[eq_16,eq_1]) ).
cnf(eq_19,plain,
mult(A,ld(A,ld(A,A))) = ld(A,A),
eq_15 ).
cnf(eq_20,plain,
mult(A,B) = mult(ld(A,C),ld(ld(A,C),mult(A,B))),
eq_17 ).
cnf(eq_21,plain,
mult(rd(rd(A,A),A),A) = ld(A,A),
inference(rw,[status(thm)],[eq_19,eq_9]) ).
cnf(eq_22,plain,
mult(A,mult(rd(B,C),C)) = mult(rd(mult(A,B),C),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_3]),eq_3]) ).
cnf(eq_23,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_24,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_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(rd(A,A),A),A) = rd(A,A),
eq_26 ).
cnf(eq_28,plain,
mult(rd(rd(ld(A,A),ld(A,A)),A),A) = ld(A,A),
eq_23 ).
cnf(eq_29,plain,
mult(rd(A,ld(A,A)),ld(A,A)) = rd(A,ld(A,A)),
eq_25 ).
cnf(eq_30,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_18]) ).
cnf(eq_31,plain,
ld(A,A) = rd(A,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_14]),eq_3]),eq_1]) ).
cnf(eq_32,plain,
ld(A,A) = rd(mult(rd(ld(A,A),ld(A,A)),A),A),
inference(rw,[status(thm)],[eq_28,eq_3]) ).
cnf(eq_33,plain,
mult(mult(A,rd(mult(B,C),C)),C) = rd(mult(mult(mult(A,B),C),C),C),
inference(cp,[status(thm)],[eq_18,eq_3]) ).
cnf(eq_34,plain,
rd(mult(A,x102),x102) = mult(A,rd(mult(ld(A,A),x102),x102)),
inference(cp,[status(thm)],[eq_12,eq_18]) ).
cnf(eq_35,plain,
mult(A,rd(mult(ld(A,A),B),B)) = rd(mult(A,B),B),
eq_34 ).
cnf(eq_36,plain,
mult(mult(A,B),C) = mult(mult(A,rd(mult(B,C),C)),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_18]),eq_1]) ).
cnf(eq_37,plain,
mult(mult(A,B),C) = mult(mult(A,mult(rd(B,C),C)),C),
inference(rw,[status(thm)],[eq_36,eq_3]) ).
cnf(eq_38,plain,
mult(rd(A,rd(A,A)),rd(A,A)) = rd(A,rd(A,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_31]),eq_31]),eq_31]) ).
cnf(eq_39,plain,
A = mult(A,rd(A,A)),
inference(rw,[status(thm)],[eq_12,eq_31]) ).
cnf(eq_40,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)],[inference(rw,[status(thm)],[eq_32,eq_31]),eq_31]),eq_31]),eq_3]) ).
cnf(eq_41,plain,
mult(A,ld(A,rd(B,B))) = mult(rd(rd(A,A),B),B),
inference(rw,[status(thm)],[eq_9,eq_31]) ).
cnf(eq_42,plain,
mult(A,mult(rd(rd(A,A),B),B)) = mult(rd(A,B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_31]),eq_3]),eq_3]) ).
cnf(eq_43,plain,
mult(mult(rd(A,B),B),B) = mult(A,mult(rd(B,B),B)),
inference(cp,[status(thm)],[eq_3,eq_22]) ).
cnf(eq_44,plain,
mult(rd(A,x102),x102) = mult(rd(A,A),mult(rd(A,x102),x102)),
inference(cp,[status(thm)],[eq_10,eq_22]) ).
cnf(eq_45,plain,
mult(A,B) = mult(mult(rd(A,B),B),B),
inference(rw,[status(thm)],[eq_43,eq_10]) ).
cnf(eq_46,plain,
mult(rd(A,B),B) = mult(rd(A,A),mult(rd(A,B),B)),
eq_44 ).
cnf(eq_47,plain,
mult(rd(A,rd(A,A)),rd(A,A)) = mult(A,rd(A,A)),
inference(cp,[status(thm)],[eq_38,eq_45]) ).
cnf(eq_48,plain,
A = rd(A,rd(A,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_38]),eq_39]) ).
cnf(eq_49,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(rd(A,A),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_41]),eq_45]) ).
cnf(eq_50,plain,
mult(mult(A,ld(A,B)),C) = mult(rd(A,A),mult(B,C)),
inference(cp,[status(thm)],[eq_8,eq_49]) ).
cnf(eq_51,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_49]) ).
cnf(eq_52,plain,
mult(ld(x100,x101),mult(rd(rd(ld(x100,x101),ld(x100,x101)),ld(x100,x101)),ld(x100,x101))) = mult(rd(x100,x100),ld(x100,x101)),
inference(cp,[status(thm)],[eq_21,eq_49]) ).
cnf(eq_53,plain,
mult(ld(A,A),ld(mult(rd(rd(A,A),A),A),x102)) = mult(rd(A,A),x102),
inference(cp,[status(thm)],[eq_21,eq_49]) ).
cnf(eq_54,plain,
rd(A,A) = mult(rd(A,A),mult(rd(rd(rd(A,A),rd(A,A)),A),A)),
inference(cp,[status(thm)],[eq_27,eq_42]) ).
cnf(eq_55,plain,
mult(rd(A,A),ld(A,B)) = ld(A,B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_27]),eq_39]) ).
cnf(eq_56,plain,
mult(rd(A,A),rd(A,A)) = rd(A,A),
inference(rw,[status(thm)],[eq_54,eq_40]) ).
cnf(eq_57,plain,
mult(rd(A,A),B) = mult(rd(A,A),ld(rd(A,A),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_31]),eq_27]) ).
cnf(eq_58,negated_conjecture,
mult(rd(x0,x0),x2) != mult(x0,ld(x0,x2)),
inference(cp,[status(thm)],[eq_49,eq_13]) ).
cnf(eq_59,plain,
mult(A,ld(A,rd(B,B))) = rd(mult(rd(A,A),B),B),
inference(rw,[status(thm)],[eq_41,eq_3]) ).
cnf(eq_60,plain,
mult(A,B) = mult(rd(A,A),mult(A,B)),
inference(rw,[status(thm)],[eq_20,eq_49]) ).
cnf(eq_61,plain,
mult(A,rd(mult(rd(A,A),B),B)) = rd(mult(A,B),B),
inference(rw,[status(thm)],[eq_35,eq_31]) ).
cnf(eq_62,plain,
mult(rd(A,A),rd(mult(A,B),B)) = rd(mult(A,B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_3]),eq_3]) ).
cnf(eq_63,plain,
rd(rd(A,A),rd(A,A)) = rd(A,A),
inference(cp,[status(thm)],[eq_56,eq_1]) ).
cnf(eq_64,plain,
mult(mult(rd(x101,B),B),B) = mult(mult(rd(rd(x101,B),rd(x101,B)),x101),B),
inference(cp,[status(thm)],[eq_60,eq_37]) ).
cnf(eq_65,plain,
mult(rd(A,A),ld(rd(A,A),x101)) = ld(rd(A,A),x101),
inference(cp,[status(thm)],[eq_63,eq_55]) ).
cnf(eq_66,plain,
mult(rd(A,A),mult(rd(A,A),x101)) = mult(rd(A,A),x101),
inference(cp,[status(thm)],[eq_63,eq_60]) ).
cnf(eq_67,plain,
mult(rd(A,A),B) = mult(rd(A,A),mult(rd(A,A),B)),
eq_66 ).
cnf(eq_68,plain,
mult(rd(A,A),B) = ld(rd(A,A),B),
inference(rw,[status(thm)],[eq_65,eq_57]) ).
cnf(eq_69,plain,
mult(A,B) = mult(mult(rd(rd(A,B),rd(A,B)),A),B),
inference(rw,[status(thm)],[eq_64,eq_45]) ).
cnf(eq_70,plain,
mult(mult(A,mult(A,ld(A,B))),x102) = mult(rd(A,A),mult(mult(A,B),x102)),
inference(cp,[status(thm)],[eq_2,eq_50]) ).
cnf(eq_71,plain,
mult(mult(rd(A,A),mult(rd(A,A),B)),x102) = mult(rd(rd(A,A),rd(A,A)),mult(B,x102)),
inference(cp,[status(thm)],[eq_68,eq_50]) ).
cnf(eq_72,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_51,eq_2]),eq_50]) ).
cnf(eq_73,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_41]) ).
cnf(eq_74,plain,
mult(x100,rd(x102,x103)) = mult(x100,rd(mult(rd(x102,x103),x103),x103)),
inference(cp,[status(thm)],[eq_1,eq_30]) ).
cnf(eq_75,plain,
mult(rd(B,B),rd(mult(B,C),C)) = rd(mult(B,rd(D,C)),rd(D,C)),
inference(cp,[status(thm)],[eq_30,eq_62]) ).
cnf(eq_76,plain,
mult(rd(rd(A,B),rd(A,B)),rd(rd(mult(A,B),B),B)) = rd(mult(rd(A,B),B),B),
inference(cp,[status(thm)],[eq_3,eq_62]) ).
cnf(eq_77,plain,
mult(A,rd(B,C)) = mult(A,rd(rd(mult(B,C),C),C)),
inference(rw,[status(thm)],[eq_74,eq_3]) ).
cnf(eq_78,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_73,eq_67]),eq_63]),eq_3]) ).
cnf(eq_79,plain,
rd(A,B) = rd(rd(mult(A,B),B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_76,eq_77]),eq_3]),eq_1]),eq_3]) ).
cnf(eq_80,plain,
rd(mult(A,B),B) = rd(mult(A,rd(C,B)),rd(C,B)),
inference(rw,[status(thm)],[eq_75,eq_62]) ).
cnf(eq_81,plain,
mult(mult(rd(A,A),B),C) = mult(rd(A,A),mult(B,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_71,eq_67]),eq_63]) ).
cnf(eq_82,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_78,eq_61]) ).
cnf(eq_83,plain,
mult(A,B) = mult(rd(rd(A,B),rd(A,B)),mult(A,B)),
inference(cp,[status(thm)],[eq_69,eq_81]) ).
cnf(eq_84,plain,
mult(mult(A,B),x102) = mult(rd(A,A),mult(mult(A,B),x102)),
inference(cp,[status(thm)],[eq_60,eq_81]) ).
cnf(eq_85,plain,
rd(rd(mult(rd(A,A),B),B),rd(B,B)) = rd(mult(rd(A,A),B),B),
inference(cp,[status(thm)],[eq_78,eq_80]) ).
cnf(eq_86,plain,
rd(mult(x100,A),rd(A,rd(A,A))) = rd(mult(x100,rd(A,A)),rd(A,A)),
inference(cp,[status(thm)],[eq_48,eq_80]) ).
cnf(eq_87,plain,
rd(rd(mult(A,B),B),rd(C,B)) = rd(A,rd(C,B)),
inference(cp,[status(thm)],[eq_80,eq_79]) ).
cnf(eq_88,plain,
rd(mult(A,B),B) = rd(mult(A,rd(B,B)),rd(B,B)),
inference(rw,[status(thm)],[eq_86,eq_48]) ).
cnf(eq_89,plain,
mult(mult(A,B),C) = mult(rd(A,A),mult(mult(A,B),C)),
eq_84 ).
cnf(eq_90,plain,
rd(A,rd(B,C)) = rd(rd(mult(A,C),C),rd(B,C)),
eq_87 ).
cnf(eq_91,negated_conjecture,
mult(mult(rd(rd(rd(x0,x0),x2),rd(rd(x0,x0),x2)),rd(x0,x0)),x2) != mult(x0,ld(x0,x2)),
inference(cp,[status(thm)],[eq_69,eq_58]) ).
cnf(eq_92,plain,
rd(mult(rd(A,A),B),B) = rd(rd(A,A),rd(B,B)),
inference(rw,[status(thm)],[eq_85,eq_90]) ).
cnf(eq_93,plain,
mult(A,rd(rd(A,A),rd(B,B))) = rd(mult(A,B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_82,eq_90]),eq_80]) ).
cnf(eq_94,negated_conjecture,
mult(rd(rd(rd(x0,x0),x2),rd(rd(x0,x0),x2)),mult(rd(x0,x0),x2)) != mult(x0,ld(x0,x2)),
inference(rw,[status(thm)],[eq_91,eq_81]) ).
cnf(eq_95,plain,
mult(mult(A,B),C) = mult(mult(A,mult(A,ld(A,B))),C),
inference(rw,[status(thm)],[eq_70,eq_89]) ).
cnf(eq_96,plain,
mult(mult(A,rd(mult(rd(A,A),B),B)),x102) = mult(mult(A,rd(B,B)),x102),
inference(cp,[status(thm)],[eq_59,eq_95]) ).
cnf(eq_97,plain,
mult(mult(A,rd(B,B)),C) = mult(rd(mult(A,B),B),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_96,eq_92]),eq_93]) ).
cnf(eq_98,plain,
rd(mult(mult(A,rd(B,B)),rd(mult(A,B),B)),rd(mult(A,B),B)) = rd(mult(A,B),B),
inference(cp,[status(thm)],[eq_97,eq_1]) ).
cnf(eq_99,plain,
mult(A,rd(B,B)) = rd(mult(A,B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_98,eq_80]),eq_18]),eq_3]),eq_1]) ).
cnf(eq_100,plain,
rd(A,rd(B,B)) = rd(mult(A,B),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_88,eq_99]),eq_90]) ).
cnf(eq_101,plain,
mult(A,rd(B,B)) = rd(A,rd(B,B)),
inference(rw,[status(thm)],[eq_99,eq_100]) ).
cnf(eq_102,plain,
mult(A,ld(mult(A,ld(A,A)),x102)) = mult(rd(A,A),x102),
inference(cp,[status(thm)],[eq_60,eq_72]) ).
cnf(eq_103,plain,
mult(A,ld(A,B)) = mult(rd(A,A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_102,eq_31]),eq_101]),eq_48]) ).
cnf(eq_104,negated_conjecture,
mult(rd(x0,x0),x2) != mult(rd(x0,x0),x2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_94,eq_83]),eq_103]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP682-10 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n010.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 04:04:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.73/2.90 % SZS status Unsatisfiable
% 2.73/2.90 % SZS output start CNFRefutation for /tmp/MaedMax_8523
% See solution above
% 2.73/2.90
%------------------------------------------------------------------------------