TSTP Solution File: GRP669-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP669-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n022.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 3.69s 3.86s
% Output : CNFRefutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% Syntax : Number of clauses : 92 ( 92 unt; 0 nHn; 7 RR)
% Number of literals : 92 ( 91 equ; 5 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 166 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(B,ld(B,A)),
file('/tmp/MaedMax_19697') ).
cnf(eq_1,axiom,
A = ld(B,mult(B,A)),
file('/tmp/MaedMax_19697') ).
cnf(eq_2,axiom,
A = mult(rd(A,B),B),
file('/tmp/MaedMax_19697') ).
cnf(eq_3,axiom,
A = rd(mult(A,B),B),
file('/tmp/MaedMax_19697') ).
cnf(eq_4,axiom,
A = mult(A,unit),
file('/tmp/MaedMax_19697') ).
cnf(eq_5,axiom,
A = mult(unit,A),
file('/tmp/MaedMax_19697') ).
cnf(eq_6,axiom,
mult(A,mult(B,mult(A,C))) = mult(mult(mult(A,B),A),C),
file('/tmp/MaedMax_19697') ).
cnf(eq_7,axiom,
mult(A,mult(B,mult(C,B))) = mult(mult(mult(A,B),C),B),
file('/tmp/MaedMax_19697') ).
cnf(eq_8,axiom,
mult(A,mult(mult(B,C),A)) = mult(mult(A,B),mult(C,A)),
file('/tmp/MaedMax_19697') ).
cnf(eq_9,negated_conjecture,
mult(mult(mult(a,mult(b,c)),a),b) != mult(mult(a,b),mult(c,mult(a,b))),
file('/tmp/MaedMax_19697') ).
cnf(eq_10,plain,
ld(unit,A) = A,
inference(cp,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_11,plain,
ld(rd(A,B),A) = B,
inference(cp,[status(thm)],[eq_2,eq_1]) ).
cnf(eq_12,plain,
mult(A,mult(B,mult(A,unit))) = mult(mult(A,B),A),
inference(cp,[status(thm)],[eq_6,eq_4]) ).
cnf(eq_13,plain,
mult(A,mult(x102,B)) = mult(B,mult(mult(ld(B,A),x102),B)),
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_14,plain,
mult(mult(A,A),x102) = mult(A,mult(unit,mult(A,x102))),
inference(cp,[status(thm)],[eq_4,eq_6]) ).
cnf(eq_15,plain,
mult(mult(A,B),x102) = mult(B,mult(ld(B,A),mult(B,x102))),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_16,plain,
mult(mult(x100,x101),x101) = mult(x100,mult(x101,mult(unit,x101))),
inference(cp,[status(thm)],[eq_4,eq_7]) ).
cnf(eq_17,plain,
rd(A,A) = unit,
inference(cp,[status(thm)],[eq_5,eq_3]) ).
cnf(eq_18,plain,
rd(mult(A,mult(B,mult(C,B))),B) = mult(mult(A,B),C),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_19,plain,
mult(A,mult(B,A)) = mult(mult(A,B),A),
inference(rw,[status(thm)],[eq_12,eq_4]) ).
cnf(eq_20,plain,
mult(A,mult(B,C)) = mult(C,mult(mult(ld(C,A),B),C)),
eq_13 ).
cnf(eq_21,plain,
A = ld(rd(B,A),B),
eq_11 ).
cnf(eq_22,plain,
mult(A,mult(A,B)) = mult(mult(A,A),B),
inference(rw,[status(thm)],[eq_14,eq_5]) ).
cnf(eq_23,plain,
mult(A,mult(ld(A,B),mult(A,C))) = mult(mult(B,A),C),
eq_15 ).
cnf(eq_24,plain,
mult(A,mult(B,B)) = mult(mult(A,B),B),
inference(rw,[status(thm)],[eq_16,eq_5]) ).
cnf(eq_25,plain,
ld(A,mult(mult(A,B),mult(C,A))) = mult(mult(B,C),A),
inference(cp,[status(thm)],[eq_8,eq_1]) ).
cnf(eq_26,plain,
rd(mult(A,mult(B,A)),A) = mult(A,B),
inference(cp,[status(thm)],[eq_19,eq_3]) ).
cnf(eq_27,plain,
rd(mult(A,mult(A,B)),B) = mult(A,A),
inference(cp,[status(thm)],[eq_22,eq_3]) ).
cnf(eq_28,plain,
mult(A,B) = mult(B,mult(ld(B,A),B)),
inference(cp,[status(thm)],[eq_0,eq_19]) ).
cnf(eq_29,plain,
mult(A,B) = mult(rd(A,B),mult(B,B)),
inference(cp,[status(thm)],[eq_2,eq_24]) ).
cnf(eq_30,plain,
rd(A,x101) = mult(mult(rd(A,mult(x101,mult(x102,x101))),x101),x102),
inference(cp,[status(thm)],[eq_2,eq_18]) ).
cnf(eq_31,plain,
rd(mult(x100,mult(B,A)),B) = mult(mult(x100,B),rd(A,B)),
inference(cp,[status(thm)],[eq_2,eq_18]) ).
cnf(eq_32,plain,
mult(mult(A,B),rd(C,B)) = rd(mult(A,mult(B,C)),B),
eq_31 ).
cnf(eq_33,plain,
mult(mult(rd(A,mult(B,mult(C,B))),B),C) = rd(A,B),
eq_30 ).
cnf(eq_34,plain,
ld(B,mult(A,B)) = mult(ld(B,A),B),
inference(cp,[status(thm)],[eq_28,eq_1]) ).
cnf(eq_35,plain,
ld(rd(A,B),mult(A,B)) = mult(B,B),
inference(cp,[status(thm)],[eq_29,eq_1]) ).
cnf(eq_36,plain,
rd(mult(B,A),ld(B,A)) = mult(B,B),
inference(cp,[status(thm)],[eq_0,eq_27]) ).
cnf(eq_37,plain,
rd(mult(B,A),B) = mult(B,rd(A,B)),
inference(cp,[status(thm)],[eq_2,eq_26]) ).
cnf(eq_38,plain,
mult(A,A) = rd(mult(A,B),ld(A,B)),
eq_36 ).
cnf(eq_39,plain,
ld(A,mult(B,A)) = mult(ld(A,B),A),
eq_34 ).
cnf(eq_40,plain,
mult(A,rd(B,A)) = rd(mult(A,B),A),
eq_37 ).
cnf(eq_41,plain,
ld(ld(A,B),ld(A,mult(B,A))) = A,
inference(cp,[status(thm)],[eq_39,eq_1]) ).
cnf(eq_42,plain,
ld(rd(unit,A),A) = mult(A,A),
inference(cp,[status(thm)],[eq_5,eq_35]) ).
cnf(eq_43,plain,
rd(A,ld(A,unit)) = mult(A,A),
inference(cp,[status(thm)],[eq_4,eq_38]) ).
cnf(eq_44,plain,
ld(mult(A,A),A) = ld(A,unit),
inference(cp,[status(thm)],[eq_43,eq_21]) ).
cnf(eq_45,plain,
ld(mult(A,A),ld(rd(unit,A),mult(A,rd(unit,A)))) = rd(unit,A),
inference(cp,[status(thm)],[eq_42,eq_41]) ).
cnf(eq_46,plain,
ld(A,unit) = rd(unit,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_45,eq_40]),eq_4]),eq_17]),eq_21]),eq_44]) ).
cnf(eq_47,plain,
mult(C,mult(mult(ld(C,unit),B),C)) = mult(B,C),
inference(cp,[status(thm)],[eq_20,eq_5]) ).
cnf(eq_48,plain,
mult(A,mult(rd(unit,A),mult(A,x102))) = mult(mult(unit,A),x102),
inference(cp,[status(thm)],[eq_46,eq_23]) ).
cnf(eq_49,plain,
rd(mult(x100,A),A) = mult(mult(x100,A),rd(unit,A)),
inference(cp,[status(thm)],[eq_4,eq_32]) ).
cnf(eq_50,plain,
mult(A,B) = mult(B,mult(mult(rd(unit,B),A),B)),
inference(rw,[status(thm)],[eq_47,eq_46]) ).
cnf(eq_51,plain,
mult(A,B) = mult(A,mult(rd(unit,A),mult(A,B))),
inference(rw,[status(thm)],[eq_48,eq_5]) ).
cnf(eq_52,plain,
A = mult(mult(A,B),rd(unit,B)),
inference(rw,[status(thm)],[eq_49,eq_3]) ).
cnf(eq_53,plain,
ld(A,mult(A,B)) = mult(rd(unit,A),mult(A,B)),
inference(cp,[status(thm)],[eq_51,eq_1]) ).
cnf(eq_54,plain,
rd(mult(A,B),B) = mult(B,mult(rd(unit,B),A)),
inference(cp,[status(thm)],[eq_50,eq_26]) ).
cnf(eq_55,plain,
A = mult(rd(unit,B),mult(B,A)),
inference(rw,[status(thm)],[eq_53,eq_1]) ).
cnf(eq_56,plain,
A = mult(B,mult(rd(unit,B),A)),
inference(rw,[status(thm)],[eq_54,eq_3]) ).
cnf(eq_57,plain,
A = mult(ld(B,unit),mult(B,A)),
inference(rw,[status(thm)],[eq_55,eq_46]) ).
cnf(eq_58,plain,
A = mult(mult(A,B),ld(B,unit)),
inference(rw,[status(thm)],[eq_52,eq_46]) ).
cnf(eq_59,plain,
A = mult(B,mult(ld(B,unit),A)),
inference(rw,[status(thm)],[eq_56,eq_46]) ).
cnf(eq_60,plain,
ld(mult(A,B),A) = ld(B,unit),
inference(cp,[status(thm)],[eq_58,eq_1]) ).
cnf(eq_61,plain,
ld(B,A) = mult(ld(B,unit),A),
inference(cp,[status(thm)],[eq_59,eq_1]) ).
cnf(eq_62,plain,
ld(ld(B,unit),A) = mult(B,A),
inference(cp,[status(thm)],[eq_57,eq_1]) ).
cnf(eq_63,plain,
mult(A,ld(B,unit)) = rd(A,B),
inference(cp,[status(thm)],[eq_2,eq_58]) ).
cnf(eq_64,plain,
mult(mult(rd(x100,ld(B,unit)),ld(B,unit)),B) = rd(x100,ld(B,unit)),
inference(cp,[status(thm)],[eq_57,eq_33]) ).
cnf(eq_65,plain,
rd(A,mult(B,A)) = ld(B,unit),
inference(cp,[status(thm)],[eq_57,eq_3]) ).
cnf(eq_66,plain,
mult(A,B) = rd(A,ld(B,unit)),
inference(rw,[status(thm)],[eq_64,eq_2]) ).
cnf(eq_67,plain,
ld(A,unit) = ld(mult(B,A),B),
eq_60 ).
cnf(eq_68,plain,
ld(ld(A,unit),B) = mult(A,B),
eq_62 ).
cnf(eq_69,plain,
ld(A,B) = mult(ld(A,unit),B),
eq_61 ).
cnf(eq_70,plain,
ld(A,unit) = rd(B,mult(A,B)),
eq_65 ).
cnf(eq_71,plain,
ld(A,B) = ld(ld(B,A),unit),
inference(cp,[status(thm)],[eq_0,eq_67]) ).
cnf(eq_72,plain,
A = rd(B,ld(ld(B,A),unit)),
inference(cp,[status(thm)],[eq_0,eq_66]) ).
cnf(eq_73,plain,
ld(A,ld(x101,unit)) = rd(ld(A,unit),x101),
inference(cp,[status(thm)],[eq_69,eq_63]) ).
cnf(eq_74,plain,
rd(ld(B,A),A) = ld(B,unit),
inference(cp,[status(thm)],[eq_0,eq_70]) ).
cnf(eq_75,plain,
ld(A,unit) = rd(ld(A,B),B),
eq_74 ).
cnf(eq_76,plain,
ld(A,ld(B,unit)) = rd(ld(A,unit),B),
eq_73 ).
cnf(eq_77,plain,
rd(A,ld(rd(ld(A,B),B),unit)) = unit,
inference(cp,[status(thm)],[eq_75,eq_72]) ).
cnf(eq_78,plain,
mult(A,mult(ld(A,B),ld(B,unit))) = unit,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_77,eq_63]),eq_63]),eq_71]),eq_10]) ).
cnf(eq_79,plain,
ld(A,ld(B,unit)) = mult(ld(A,unit),ld(B,unit)),
inference(rw,[status(thm)],[eq_76,eq_63]) ).
cnf(eq_80,plain,
ld(ld(A,B),x101) = mult(ld(B,A),x101),
inference(cp,[status(thm)],[eq_71,eq_68]) ).
cnf(eq_81,plain,
ld(ld(A,B),C) = mult(ld(B,A),C),
eq_80 ).
cnf(eq_82,plain,
mult(mult(B,A),mult(ld(A,unit),ld(B,unit))) = unit,
inference(cp,[status(thm)],[eq_67,eq_78]) ).
cnf(eq_83,plain,
mult(mult(A,B),mult(ld(B,unit),ld(A,unit))) = unit,
eq_82 ).
cnf(eq_84,plain,
ld(mult(ld(A,unit),B),x102) = mult(ld(B,A),x102),
inference(cp,[status(thm)],[eq_69,eq_81]) ).
cnf(eq_85,plain,
ld(mult(ld(A,unit),B),C) = mult(ld(B,A),C),
eq_84 ).
cnf(eq_86,negated_conjecture,
ld(b,mult(mult(b,mult(a,mult(b,c))),mult(a,b))) != mult(mult(a,b),mult(c,mult(a,b))),
inference(cp,[status(thm)],[eq_25,eq_9]) ).
cnf(eq_87,negated_conjecture,
mult(ld(b,unit),mult(mult(b,mult(a,mult(b,c))),mult(a,b))) != mult(mult(a,b),mult(c,mult(a,b))),
inference(cp,[status(thm)],[eq_69,eq_86]) ).
cnf(eq_88,plain,
ld(mult(A,B),unit) = mult(ld(B,unit),ld(A,unit)),
inference(cp,[status(thm)],[eq_83,eq_1]) ).
cnf(eq_89,negated_conjecture,
ld(ld(b,ld(a,unit)),ld(ld(c,unit),ld(ld(a,unit),b))) != ld(b,ld(ld(ld(ld(a,unit),ld(ld(b,unit),c)),ld(b,unit)),ld(ld(a,unit),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)],[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)],[inference(rw,[status(thm)],[eq_87,eq_68]),eq_68]),eq_68]),eq_68]),eq_68]),eq_71]),eq_68]),eq_71]),eq_10]),eq_68]),eq_68]),eq_68]),eq_68]),eq_71]) ).
cnf(eq_90,negated_conjecture,
mult(mult(a,b),mult(c,mult(a,b))) != mult(mult(a,b),mult(c,mult(a,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)],[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)],[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)],[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_89,eq_79]),eq_81]),eq_10]),eq_81]),eq_10]),eq_85]),eq_81]),eq_10]),eq_81]),eq_81]),eq_10]),eq_10]),eq_81]),eq_10]),eq_79]),eq_88]),eq_88]),eq_7]),eq_85]),eq_85]),eq_85]),eq_81]),eq_10]),eq_19]),eq_7]),eq_1]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP669-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : run_maedmax %d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Jul 26 04:23:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 3.69/3.86 % SZS status Unsatisfiable
% 3.69/3.86 % SZS output start CNFRefutation for /tmp/MaedMax_19697
% See solution above
% 3.69/3.87
%------------------------------------------------------------------------------