TSTP Solution File: GRP708-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP708-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n004.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 07:03:13 EDT 2022
% Result : Unsatisfiable 186.02s 186.22s
% Output : CNFRefutation 186.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of clauses : 97 ( 97 unt; 0 nHn; 13 RR)
% Number of literals : 97 ( 96 equ; 9 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 : 129 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(B,ld(B,A)),
file('/tmp/MaedMax_31187') ).
cnf(eq_1,axiom,
A = ld(B,mult(B,A)),
file('/tmp/MaedMax_31187') ).
cnf(eq_2,axiom,
A = mult(rd(A,B),B),
file('/tmp/MaedMax_31187') ).
cnf(eq_3,axiom,
A = rd(mult(A,B),B),
file('/tmp/MaedMax_31187') ).
cnf(eq_4,axiom,
A = mult(A,unit),
file('/tmp/MaedMax_31187') ).
cnf(eq_5,axiom,
A = mult(unit,A),
file('/tmp/MaedMax_31187') ).
cnf(eq_6,axiom,
mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C),
file('/tmp/MaedMax_31187') ).
cnf(eq_7,axiom,
mult(A,op_c) = mult(op_c,A),
file('/tmp/MaedMax_31187') ).
cnf(eq_8,axiom,
mult(mult(mult(op_c,op_c),A),B) = mult(mult(op_c,op_c),mult(A,B)),
file('/tmp/MaedMax_31187') ).
cnf(eq_9,negated_conjecture,
mult(mult(a,b),op_c) != mult(a,mult(b,op_c)),
file('/tmp/MaedMax_31187') ).
cnf(eq_10,plain,
ld(unit,A) = A,
inference(cp,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_11,plain,
ld(A,mult(op_c,A)) = op_c,
inference(cp,[status(thm)],[eq_7,eq_1]) ).
cnf(eq_12,plain,
mult(mult(A,A),x102) = mult(A,mult(unit,mult(A,x102))),
inference(cp,[status(thm)],[eq_5,eq_6]) ).
cnf(eq_13,plain,
mult(mult(op_c,mult(op_c,A)),x102) = mult(op_c,mult(A,mult(op_c,x102))),
inference(cp,[status(thm)],[eq_7,eq_6]) ).
cnf(eq_14,plain,
mult(mult(B,A),x102) = mult(B,mult(rd(A,B),mult(B,x102))),
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_15,plain,
rd(A,A) = unit,
inference(cp,[status(thm)],[eq_5,eq_3]) ).
cnf(eq_16,plain,
rd(A,ld(B,A)) = B,
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_17,plain,
A = mult(op_c,rd(A,op_c)),
inference(cp,[status(thm)],[eq_2,eq_7]) ).
cnf(eq_18,plain,
A = mult(ld(op_c,A),op_c),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_19,plain,
mult(A,mult(A,B)) = mult(mult(A,A),B),
inference(rw,[status(thm)],[eq_12,eq_5]) ).
cnf(eq_20,plain,
mult(A,mult(rd(B,A),mult(A,C))) = mult(mult(A,B),C),
eq_14 ).
cnf(eq_21,plain,
A = rd(B,ld(A,B)),
eq_16 ).
cnf(eq_22,plain,
mult(mult(op_c,mult(op_c,A)),B) = mult(op_c,mult(A,mult(op_c,B))),
eq_13 ).
cnf(eq_23,negated_conjecture,
mult(a,mult(op_c,b)) != mult(mult(a,b),op_c),
inference(cp,[status(thm)],[eq_7,eq_9]) ).
cnf(eq_24,negated_conjecture,
mult(mult(a,b),op_c) != mult(a,mult(op_c,b)),
eq_23 ).
cnf(eq_25,plain,
ld(mult(op_c,op_c),mult(mult(mult(op_c,op_c),A),B)) = mult(A,B),
inference(cp,[status(thm)],[eq_8,eq_1]) ).
cnf(eq_26,plain,
ld(op_c,A) = rd(A,op_c),
inference(cp,[status(thm)],[eq_17,eq_1]) ).
cnf(eq_27,plain,
mult(mult(op_c,A),x102) = mult(op_c,mult(ld(op_c,A),mult(op_c,x102))),
inference(cp,[status(thm)],[eq_18,eq_6]) ).
cnf(eq_28,plain,
mult(mult(op_c,A),B) = mult(op_c,mult(ld(op_c,A),mult(op_c,B))),
eq_27 ).
cnf(eq_29,negated_conjecture,
mult(op_c,mult(a,b)) != mult(a,mult(op_c,b)),
inference(cp,[status(thm)],[eq_7,eq_24]) ).
cnf(eq_30,plain,
ld(mult(A,A),mult(A,mult(A,B))) = B,
inference(cp,[status(thm)],[eq_19,eq_1]) ).
cnf(eq_31,plain,
mult(op_c,mult(A,mult(op_c,unit))) = mult(op_c,mult(op_c,A)),
inference(cp,[status(thm)],[eq_22,eq_4]) ).
cnf(eq_32,plain,
rd(mult(A,mult(A,B)),B) = mult(A,A),
inference(cp,[status(thm)],[eq_19,eq_3]) ).
cnf(eq_33,plain,
mult(A,x102) = mult(A,mult(rd(unit,A),mult(A,x102))),
inference(cp,[status(thm)],[eq_4,eq_20]) ).
cnf(eq_34,plain,
mult(op_c,mult(A,op_c)) = mult(op_c,mult(op_c,A)),
inference(rw,[status(thm)],[eq_31,eq_4]) ).
cnf(eq_35,plain,
A = ld(mult(B,B),mult(B,mult(B,A))),
eq_30 ).
cnf(eq_36,plain,
mult(A,B) = mult(A,mult(rd(unit,A),mult(A,B))),
eq_33 ).
cnf(eq_37,plain,
ld(mult(op_c,A),mult(op_c,mult(A,op_c))) = op_c,
inference(cp,[status(thm)],[eq_34,eq_11]) ).
cnf(eq_38,plain,
ld(A,mult(A,B)) = mult(rd(unit,A),mult(A,B)),
inference(cp,[status(thm)],[eq_36,eq_1]) ).
cnf(eq_39,plain,
ld(mult(B,B),mult(B,A)) = ld(B,A),
inference(cp,[status(thm)],[eq_0,eq_35]) ).
cnf(eq_40,plain,
mult(B,mult(rd(unit,B),A)) = mult(B,ld(B,A)),
inference(cp,[status(thm)],[eq_0,eq_36]) ).
cnf(eq_41,plain,
A = mult(rd(unit,B),mult(B,A)),
inference(rw,[status(thm)],[eq_38,eq_1]) ).
cnf(eq_42,plain,
A = mult(B,mult(rd(unit,B),A)),
inference(rw,[status(thm)],[eq_40,eq_0]) ).
cnf(eq_43,plain,
ld(A,B) = ld(mult(A,A),mult(A,B)),
eq_39 ).
cnf(eq_44,plain,
ld(B,A) = mult(rd(unit,B),A),
inference(cp,[status(thm)],[eq_42,eq_1]) ).
cnf(eq_45,plain,
ld(A,mult(op_c,mult(mult(rd(unit,op_c),A),op_c))) = op_c,
inference(cp,[status(thm)],[eq_42,eq_37]) ).
cnf(eq_46,plain,
mult(x100,rd(unit,x100)) = unit,
inference(cp,[status(thm)],[eq_4,eq_42]) ).
cnf(eq_47,plain,
mult(x100,A) = ld(rd(unit,x100),A),
inference(cp,[status(thm)],[eq_0,eq_42]) ).
cnf(eq_48,plain,
mult(rd(unit,op_c),A) = rd(A,op_c),
inference(cp,[status(thm)],[eq_17,eq_41]) ).
cnf(eq_49,plain,
rd(A,mult(B,A)) = rd(unit,B),
inference(cp,[status(thm)],[eq_41,eq_3]) ).
cnf(eq_50,plain,
mult(op_c,A) = mult(op_c,mult(mult(rd(unit,op_c),A),op_c)),
inference(cp,[status(thm)],[eq_42,eq_34]) ).
cnf(eq_51,plain,
ld(rd(unit,A),B) = mult(A,B),
eq_47 ).
cnf(eq_52,plain,
ld(A,B) = mult(rd(unit,A),B),
eq_44 ).
cnf(eq_53,plain,
ld(A,rd(A,rd(unit,op_c))) = op_c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_45,eq_20]),eq_2]),eq_4]),eq_42]) ).
cnf(eq_54,plain,
mult(A,rd(unit,A)) = unit,
eq_46 ).
cnf(eq_55,plain,
mult(op_c,A) = rd(A,rd(unit,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_20]),eq_2]),eq_4]),eq_42]) ).
cnf(eq_56,plain,
mult(op_c,A) = rd(A,ld(op_c,unit)),
inference(rw,[status(thm)],[eq_55,eq_26]) ).
cnf(eq_57,plain,
ld(A,unit) = rd(unit,A),
inference(cp,[status(thm)],[eq_54,eq_1]) ).
cnf(eq_58,plain,
rd(ld(rd(unit,A),B),B) = A,
inference(cp,[status(thm)],[eq_51,eq_3]) ).
cnf(eq_59,plain,
rd(unit,rd(unit,A)) = A,
inference(cp,[status(thm)],[eq_54,eq_3]) ).
cnf(eq_60,plain,
rd(mult(A,unit),rd(unit,A)) = mult(A,A),
inference(cp,[status(thm)],[eq_54,eq_32]) ).
cnf(eq_61,plain,
A = ld(rd(unit,B),ld(B,A)),
inference(cp,[status(thm)],[eq_0,eq_51]) ).
cnf(eq_62,plain,
rd(op_c,A) = rd(unit,ld(op_c,A)),
inference(cp,[status(thm)],[eq_18,eq_49]) ).
cnf(eq_63,plain,
rd(B,A) = rd(unit,rd(A,B)),
inference(cp,[status(thm)],[eq_2,eq_49]) ).
cnf(eq_64,plain,
rd(unit,ld(op_c,A)) = rd(op_c,A),
eq_62 ).
cnf(eq_65,plain,
mult(A,A) = rd(A,rd(unit,A)),
inference(rw,[status(thm)],[eq_60,eq_4]) ).
cnf(eq_66,plain,
rd(A,B) = rd(unit,rd(B,A)),
eq_63 ).
cnf(eq_67,plain,
A = rd(ld(op_c,A),ld(op_c,unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_26]),eq_56]) ).
cnf(eq_68,negated_conjecture,
mult(a,rd(b,ld(op_c,unit))) != rd(mult(a,b),ld(op_c,unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_56]),eq_56]) ).
cnf(eq_69,plain,
ld(rd(unit,op_c),A) = rd(A,rd(unit,op_c)),
inference(rw,[status(thm)],[eq_55,eq_51]) ).
cnf(eq_70,plain,
rd(unit,rd(A,op_c)) = rd(op_c,A),
inference(rw,[status(thm)],[eq_64,eq_26]) ).
cnf(eq_71,negated_conjecture,
ld(rd(unit,a),rd(b,rd(unit,op_c))) != rd(ld(rd(unit,a),b),rd(unit,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_68,eq_26]),eq_51]),eq_51]),eq_26]) ).
cnf(eq_72,plain,
rd(rd(A,rd(unit,op_c)),op_c) = A,
inference(cp,[status(thm)],[eq_53,eq_21]) ).
cnf(eq_73,plain,
rd(A,op_c) = ld(rd(unit,A),rd(unit,op_c)),
inference(cp,[status(thm)],[eq_58,eq_72]) ).
cnf(eq_74,plain,
rd(unit,A) = rd(op_c,rd(A,rd(unit,op_c))),
inference(cp,[status(thm)],[eq_72,eq_70]) ).
cnf(eq_75,plain,
ld(rd(unit,A),rd(unit,op_c)) = rd(A,op_c),
eq_73 ).
cnf(eq_76,plain,
A = rd(rd(A,op_c),rd(unit,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_67,eq_26]),eq_26]) ).
cnf(eq_77,plain,
rd(op_c,rd(unit,rd(rd(unit,op_c),A))) = rd(unit,A),
inference(cp,[status(thm)],[eq_66,eq_74]) ).
cnf(eq_78,negated_conjecture,
ld(rd(op_c,rd(a,rd(unit,op_c))),rd(b,rd(unit,op_c))) != rd(ld(rd(unit,a),b),rd(unit,op_c)),
inference(cp,[status(thm)],[eq_74,eq_71]) ).
cnf(eq_79,plain,
ld(ld(A,unit),ld(op_c,unit)) = ld(op_c,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_75,eq_57]),eq_57]),eq_26]) ).
cnf(eq_80,plain,
mult(A,rd(unit,op_c)) = rd(A,op_c),
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_79,eq_52]),eq_52]),eq_4]),eq_48]),eq_52]),eq_59]),eq_52]),eq_48]) ).
cnf(eq_81,plain,
mult(rd(A,B),mult(rd(B,A),x101)) = x101,
inference(cp,[status(thm)],[eq_66,eq_41]) ).
cnf(eq_82,plain,
A = mult(rd(B,C),mult(rd(C,B),A)),
eq_81 ).
cnf(eq_83,plain,
mult(x100,rd(rd(unit,x100),op_c)) = rd(unit,op_c),
inference(cp,[status(thm)],[eq_80,eq_42]) ).
cnf(eq_84,plain,
mult(A,rd(rd(unit,A),op_c)) = rd(unit,op_c),
eq_83 ).
cnf(eq_85,plain,
mult(rd(unit,A),B) = mult(rd(unit,rd(A,rd(unit,A))),mult(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_43,eq_52]),eq_65]),eq_52]) ).
cnf(eq_86,plain,
mult(rd(x100,x101),rd(unit,op_c)) = rd(rd(unit,rd(x101,x100)),op_c),
inference(cp,[status(thm)],[eq_84,eq_82]) ).
cnf(eq_87,plain,
rd(rd(A,B),op_c) = rd(rd(unit,rd(B,A)),op_c),
inference(rw,[status(thm)],[eq_86,eq_80]) ).
cnf(eq_88,plain,
ld(A,B) = ld(rd(A,rd(unit,A)),ld(rd(unit,A),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_85,eq_51]),eq_59]),eq_51]),eq_51]),eq_59]) ).
cnf(eq_89,plain,
ld(rd(unit,rd(A,rd(unit,op_c))),B) = rd(ld(rd(op_c,A),rd(B,rd(unit,op_c))),rd(unit,op_c)),
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_28,eq_51]),eq_69]),eq_51]),eq_26]),eq_51]),eq_69]),eq_51]),eq_70]),eq_51]),eq_69]) ).
cnf(eq_90,plain,
rd(rd(A,B),op_c) = rd(unit,rd(op_c,rd(unit,rd(B,A)))),
inference(cp,[status(thm)],[eq_87,eq_66]) ).
cnf(eq_91,plain,
ld(rd(B,rd(unit,B)),A) = ld(B,ld(B,A)),
inference(cp,[status(thm)],[eq_61,eq_88]) ).
cnf(eq_92,plain,
ld(A,ld(A,B)) = ld(rd(A,rd(unit,A)),B),
eq_91 ).
cnf(eq_93,plain,
ld(rd(unit,A),B) = rd(ld(rd(op_c,rd(A,rd(unit,op_c))),rd(B,rd(unit,op_c))),op_c),
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_25,eq_51]),eq_51]),eq_69]),eq_69]),eq_51]),eq_89]),eq_15]),eq_10]),eq_51]),eq_89]),eq_92]),eq_26]),eq_90]),eq_77]),eq_59]),eq_26]),eq_51]) ).
cnf(eq_94,negated_conjecture,
rd(rd(ld(rd(op_c,rd(a,rd(unit,op_c))),rd(b,rd(unit,op_c))),op_c),rd(unit,op_c)) != ld(rd(op_c,rd(a,rd(unit,op_c))),rd(b,rd(unit,op_c))),
inference(cp,[status(thm)],[eq_93,eq_78]) ).
cnf(eq_95,negated_conjecture,
ld(rd(op_c,rd(a,rd(unit,op_c))),rd(b,rd(unit,op_c))) != ld(rd(op_c,rd(a,rd(unit,op_c))),rd(b,rd(unit,op_c))),
inference(rw,[status(thm)],[eq_94,eq_76]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP708-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 04:06:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 186.02/186.22 % SZS status Unsatisfiable
% 186.02/186.22 % SZS output start CNFRefutation for /tmp/MaedMax_31187
% See solution above
% 186.02/186.22
%------------------------------------------------------------------------------