TSTP Solution File: GRP752-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP752-1 : TPTP v8.1.0. Released v4.0.0.
% 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 07:03:15 EDT 2022
% Result : Unsatisfiable 74.18s 74.36s
% Output : CNFRefutation 74.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of clauses : 81 ( 81 unt; 0 nHn; 11 RR)
% Number of literals : 81 ( 80 equ; 10 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 187 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(B,ld(B,A)),
file('/tmp/MaedMax_22065') ).
cnf(eq_1,axiom,
A = ld(B,mult(B,A)),
file('/tmp/MaedMax_22065') ).
cnf(eq_2,axiom,
A = mult(rd(A,B),B),
file('/tmp/MaedMax_22065') ).
cnf(eq_3,axiom,
A = rd(mult(A,B),B),
file('/tmp/MaedMax_22065') ).
cnf(eq_4,axiom,
mult(mult(A,B),mult(mult(A,A),C)) = mult(mult(A,mult(A,A)),mult(B,C)),
file('/tmp/MaedMax_22065') ).
cnf(eq_5,axiom,
mult(mult(A,A),mult(B,C)) = mult(mult(A,B),mult(A,C)),
file('/tmp/MaedMax_22065') ).
cnf(eq_6,axiom,
mult(mult(A,B),mult(C,B)) = mult(mult(A,C),mult(B,B)),
file('/tmp/MaedMax_22065') ).
cnf(eq_7,negated_conjecture,
mult(mult(a,b),c) != mult(mult(a,c),mult(b,ld(c,c))),
file('/tmp/MaedMax_22065') ).
cnf(eq_8,plain,
rd(mult(mult(A,B),mult(C,B)),mult(B,B)) = mult(A,C),
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_9,plain,
rd(mult(mult(A,C),mult(B,B)),mult(C,B)) = mult(A,B),
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_10,plain,
rd(mult(mult(A,B),mult(A,C)),mult(B,C)) = mult(A,A),
inference(cp,[status(thm)],[eq_5,eq_3]) ).
cnf(eq_11,plain,
mult(mult(x100,x100),A) = mult(mult(x100,B),mult(x100,ld(B,A))),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_12,plain,
mult(mult(B,x101),A) = mult(mult(B,B),mult(x101,ld(B,A))),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_13,plain,
mult(A,mult(x102,ld(B,A))) = mult(mult(B,x102),mult(ld(B,A),ld(B,A))),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_14,plain,
mult(A,mult(x102,B)) = mult(mult(rd(A,B),x102),mult(B,B)),
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_15,plain,
mult(mult(x100,B),A) = mult(mult(x100,rd(A,B)),mult(B,B)),
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_16,plain,
mult(A,mult(x102,x102)) = mult(mult(B,x102),mult(ld(B,A),x102)),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_17,plain,
mult(A,mult(B,C)) = mult(mult(rd(A,C),B),mult(C,C)),
eq_14 ).
cnf(eq_18,plain,
mult(mult(A,B),C) = mult(mult(A,rd(C,B)),mult(B,B)),
eq_15 ).
cnf(eq_19,plain,
mult(mult(A,A),B) = mult(mult(A,C),mult(A,ld(C,B))),
eq_11 ).
cnf(eq_20,plain,
mult(A,B) = rd(mult(mult(A,C),mult(B,C)),mult(C,C)),
eq_8 ).
cnf(eq_21,plain,
mult(A,mult(B,B)) = mult(mult(C,B),mult(ld(C,A),B)),
eq_16 ).
cnf(eq_22,plain,
mult(A,mult(B,ld(C,A))) = mult(mult(C,B),mult(ld(C,A),ld(C,A))),
eq_13 ).
cnf(eq_23,plain,
mult(mult(A,B),C) = mult(mult(A,A),mult(B,ld(A,C))),
eq_12 ).
cnf(eq_24,plain,
ld(mult(A,C),mult(mult(A,A),B)) = mult(A,ld(C,B)),
inference(cp,[status(thm)],[eq_19,eq_1]) ).
cnf(eq_25,plain,
ld(mult(A,A),mult(mult(A,B),C)) = mult(B,ld(A,C)),
inference(cp,[status(thm)],[eq_23,eq_1]) ).
cnf(eq_26,plain,
mult(A,mult(x102,x102)) = mult(mult(rd(A,rd(x101,x102)),x102),x101),
inference(cp,[status(thm)],[eq_2,eq_18]) ).
cnf(eq_27,plain,
rd(mult(mult(A,B),C),mult(B,B)) = mult(A,rd(C,B)),
inference(cp,[status(thm)],[eq_18,eq_3]) ).
cnf(eq_28,plain,
ld(mult(A,B),mult(mult(A,A),C)) = mult(A,ld(B,C)),
eq_24 ).
cnf(eq_29,plain,
mult(A,mult(B,B)) = mult(mult(rd(A,rd(C,B)),B),C),
eq_26 ).
cnf(eq_30,plain,
mult(A,rd(B,C)) = rd(mult(mult(A,C),B),mult(C,C)),
eq_27 ).
cnf(eq_31,plain,
mult(A,mult(x101,x101)) = mult(x100,mult(ld(rd(x100,x101),A),x101)),
inference(cp,[status(thm)],[eq_0,eq_17]) ).
cnf(eq_32,plain,
mult(mult(C,B),mult(ld(C,rd(x100,mult(B,B))),B)) = x100,
inference(cp,[status(thm)],[eq_21,eq_2]) ).
cnf(eq_33,plain,
rd(mult(A,mult(x102,x102)),mult(B,x102)) = mult(rd(A,B),x102),
inference(cp,[status(thm)],[eq_2,eq_9]) ).
cnf(eq_34,plain,
rd(mult(A,mult(x102,B)),mult(B,B)) = mult(rd(A,B),x102),
inference(cp,[status(thm)],[eq_2,eq_20]) ).
cnf(eq_35,plain,
mult(rd(A,B),C) = rd(mult(A,mult(C,B)),mult(B,B)),
eq_34 ).
cnf(eq_36,plain,
mult(rd(A,B),C) = rd(mult(A,mult(C,C)),mult(B,C)),
eq_33 ).
cnf(eq_37,plain,
A = mult(mult(B,C),mult(ld(B,rd(A,mult(C,C))),C)),
eq_32 ).
cnf(eq_38,plain,
mult(A,mult(B,B)) = mult(C,mult(ld(rd(C,B),A),B)),
eq_31 ).
cnf(eq_39,plain,
rd(mult(A,mult(B,B)),C) = mult(rd(A,rd(C,B)),B),
inference(cp,[status(thm)],[eq_29,eq_3]) ).
cnf(eq_40,plain,
rd(mult(A,x102),mult(B,B)) = mult(rd(A,B),rd(x102,B)),
inference(cp,[status(thm)],[eq_2,eq_30]) ).
cnf(eq_41,plain,
mult(rd(A,rd(B,C)),C) = rd(mult(A,mult(C,C)),B),
eq_39 ).
cnf(eq_42,plain,
mult(rd(A,B),rd(C,B)) = rd(mult(A,C),mult(B,B)),
eq_40 ).
cnf(eq_43,plain,
ld(mult(A,A),mult(mult(A,C),mult(B,B))) = mult(B,ld(A,mult(C,B))),
inference(cp,[status(thm)],[eq_6,eq_25]) ).
cnf(eq_44,plain,
ld(mult(A,A),mult(mult(A,B),C)) = mult(rd(C,B),ld(A,mult(B,B))),
inference(cp,[status(thm)],[eq_18,eq_25]) ).
cnf(eq_45,plain,
mult(A,ld(B,C)) = mult(rd(C,A),ld(B,mult(A,A))),
inference(rw,[status(thm)],[eq_44,eq_25]) ).
cnf(eq_46,plain,
mult(A,ld(B,mult(C,A))) = mult(C,ld(B,mult(A,A))),
inference(rw,[status(thm)],[eq_43,eq_25]) ).
cnf(eq_47,plain,
ld(C,mult(A,mult(B,B))) = mult(ld(rd(C,B),A),B),
inference(cp,[status(thm)],[eq_38,eq_1]) ).
cnf(eq_48,plain,
rd(rd(mult(A,mult(C,B)),mult(B,B)),C) = rd(A,B),
inference(cp,[status(thm)],[eq_35,eq_3]) ).
cnf(eq_49,plain,
rd(mult(mult(A,B),mult(A,C)),mult(C,C)) = mult(rd(mult(A,A),C),B),
inference(cp,[status(thm)],[eq_5,eq_35]) ).
cnf(eq_50,plain,
rd(A,mult(x102,x101)) = mult(rd(rd(A,mult(x101,x101)),x102),x101),
inference(cp,[status(thm)],[eq_2,eq_36]) ).
cnf(eq_51,plain,
mult(rd(rd(A,mult(B,B)),C),B) = rd(A,mult(C,B)),
eq_50 ).
cnf(eq_52,plain,
ld(A,mult(B,mult(C,C))) = mult(ld(rd(A,C),B),C),
eq_47 ).
cnf(eq_53,plain,
ld(mult(B,C),A) = mult(ld(B,rd(A,mult(C,C))),C),
inference(cp,[status(thm)],[eq_37,eq_1]) ).
cnf(eq_54,plain,
rd(rd(mult(A,mult(C,C)),B),C) = rd(A,rd(B,C)),
inference(cp,[status(thm)],[eq_41,eq_3]) ).
cnf(eq_55,plain,
mult(rd(mult(A,A),B),C) = mult(rd(mult(A,C),B),A),
inference(rw,[status(thm)],[eq_49,eq_35]) ).
cnf(eq_56,plain,
ld(mult(A,B),C) = mult(ld(A,rd(C,mult(B,B))),B),
eq_53 ).
cnf(eq_57,plain,
rd(mult(mult(C,B),mult(ld(C,mult(B,x101)),ld(C,mult(B,x101)))),mult(x101,ld(C,mult(B,x101)))) = mult(B,B),
inference(cp,[status(thm)],[eq_22,eq_10]) ).
cnf(eq_58,plain,
mult(A,A) = mult(rd(mult(B,A),C),ld(B,mult(A,C))),
inference(rw,[status(thm)],[eq_57,eq_36]) ).
cnf(eq_59,negated_conjecture,
mult(mult(a,c),mult(rd(c,b),ld(c,mult(b,b)))) != mult(mult(a,b),c),
inference(cp,[status(thm)],[eq_45,eq_7]) ).
cnf(eq_60,negated_conjecture,
mult(mult(a,c),ld(mult(rd(c,b),c),mult(mult(rd(c,b),rd(c,b)),mult(b,b)))) != mult(mult(a,b),c),
inference(cp,[status(thm)],[eq_28,eq_59]) ).
cnf(eq_61,negated_conjecture,
mult(mult(a,b),c) != mult(mult(a,c),ld(mult(rd(c,b),c),mult(c,c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_17]),eq_2]) ).
cnf(eq_62,negated_conjecture,
mult(c,ld(mult(rd(c,b),c),mult(mult(a,c),c))) != mult(mult(a,b),c),
inference(cp,[status(thm)],[eq_46,eq_61]) ).
cnf(eq_63,negated_conjecture,
ld(mult(c,mult(rd(c,b),c)),mult(mult(c,c),mult(mult(a,c),c))) != mult(mult(a,b),c),
inference(cp,[status(thm)],[eq_28,eq_62]) ).
cnf(eq_64,plain,
mult(rd(A,x102),rd(A,B)) = mult(rd(mult(rd(A,B),rd(A,B)),x102),B),
inference(cp,[status(thm)],[eq_2,eq_55]) ).
cnf(eq_65,plain,
mult(rd(A,B),rd(A,C)) = mult(rd(mult(rd(A,C),rd(A,C)),B),C),
eq_64 ).
cnf(eq_66,plain,
ld(rd(mult(B,A),C),mult(A,A)) = ld(B,mult(A,C)),
inference(cp,[status(thm)],[eq_58,eq_1]) ).
cnf(eq_67,plain,
rd(ld(A,mult(B,mult(C,C))),C) = ld(rd(A,C),B),
inference(cp,[status(thm)],[eq_52,eq_3]) ).
cnf(eq_68,plain,
ld(rd(A,B),C) = rd(ld(A,mult(C,mult(B,B))),B),
eq_67 ).
cnf(eq_69,plain,
ld(A,mult(B,C)) = ld(rd(mult(A,B),C),mult(B,B)),
eq_66 ).
cnf(eq_70,plain,
mult(rd(A,B),rd(A,C)) = rd(mult(A,A),mult(B,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_65,eq_42]),eq_51]) ).
cnf(eq_71,plain,
rd(rd(mult(mult(A,mult(A,A)),mult(B,C)),mult(C,C)),mult(A,A)) = rd(mult(A,B),C),
inference(cp,[status(thm)],[eq_4,eq_48]) ).
cnf(eq_72,plain,
rd(mult(A,B),C) = rd(rd(mult(mult(A,mult(A,A)),mult(B,C)),mult(C,C)),mult(A,A)),
eq_71 ).
cnf(eq_73,plain,
mult(rd(A,rd(B,A)),rd(C,A)) = rd(mult(A,C),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_72,eq_42]),eq_3]),eq_42]),eq_54]) ).
cnf(eq_74,negated_conjecture,
ld(rd(mult(mult(c,mult(rd(c,b),c)),mult(c,c)),mult(mult(a,c),c)),mult(mult(c,c),mult(c,c))) != mult(mult(a,b),c),
inference(cp,[status(thm)],[eq_69,eq_63]) ).
cnf(eq_75,negated_conjecture,
mult(ld(rd(mult(c,mult(rd(c,b),c)),mult(a,c)),mult(c,c)),c) != mult(mult(a,b),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_36]),eq_56]),eq_10]) ).
cnf(eq_76,plain,
mult(rd(B,rd(x101,B)),A) = rd(mult(B,mult(A,B)),x101),
inference(cp,[status(thm)],[eq_3,eq_73]) ).
cnf(eq_77,plain,
mult(rd(A,rd(B,A)),C) = rd(mult(A,mult(C,A)),B),
eq_76 ).
cnf(eq_78,negated_conjecture,
mult(ld(mult(rd(c,rd(mult(a,c),c)),rd(c,b)),mult(c,c)),c) != mult(mult(a,b),c),
inference(cp,[status(thm)],[eq_77,eq_75]) ).
cnf(eq_79,negated_conjecture,
mult(mult(a,b),c) != mult(mult(a,b),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_78,eq_3]),eq_70]),eq_68]),eq_56]),eq_30]),eq_1]),eq_2]),eq_3]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP752-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % 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 04:20:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 74.18/74.36 % SZS status Unsatisfiable
% 74.18/74.36 % SZS output start CNFRefutation for /tmp/MaedMax_22065
% See solution above
% 74.18/74.36
%------------------------------------------------------------------------------