TSTP Solution File: GRP754-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP754-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n023.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 07:03:16 EDT 2022
% Result : Unsatisfiable 170.24s 170.44s
% Output : CNFRefutation 170.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of clauses : 68 ( 68 unt; 0 nHn; 5 RR)
% Number of literals : 68 ( 67 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 161 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(B,ld(B,A)),
file('/tmp/MaedMax_28743') ).
cnf(eq_1,axiom,
A = ld(B,mult(B,A)),
file('/tmp/MaedMax_28743') ).
cnf(eq_2,axiom,
A = mult(rd(A,B),B),
file('/tmp/MaedMax_28743') ).
cnf(eq_3,axiom,
A = rd(mult(A,B),B),
file('/tmp/MaedMax_28743') ).
cnf(eq_4,axiom,
mult(A,mult(B,C)) = mult(mult(rd(A,A),B),mult(A,C)),
file('/tmp/MaedMax_28743') ).
cnf(eq_5,axiom,
mult(mult(A,B),C) = mult(mult(A,C),mult(B,ld(C,C))),
file('/tmp/MaedMax_28743') ).
cnf(eq_6,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
file('/tmp/MaedMax_28743') ).
cnf(eq_7,plain,
ld(mult(rd(A,A),B),mult(A,mult(B,C))) = mult(A,C),
inference(cp,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_8,plain,
ld(mult(A,C),mult(mult(A,B),C)) = mult(B,ld(C,C)),
inference(cp,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_9,plain,
ld(rd(A,B),A) = B,
inference(cp,[status(thm)],[eq_2,eq_1]) ).
cnf(eq_10,plain,
mult(A,mult(x102,ld(B,B))) = mult(mult(rd(A,B),x102),B),
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_11,plain,
mult(mult(x100,x101),A) = mult(mult(x100,rd(A,ld(x101,x101))),x101),
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_12,plain,
mult(A,mult(x100,x102)) = mult(x100,mult(ld(rd(x100,x100),A),x102)),
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_13,plain,
mult(mult(rd(B,B),x101),A) = mult(B,mult(x101,ld(B,A))),
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_14,plain,
rd(mult(A,mult(B,C)),mult(A,C)) = mult(rd(A,A),B),
inference(cp,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_15,plain,
rd(mult(mult(A,B),C),mult(B,ld(C,C))) = mult(A,C),
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,
mult(A,B) = rd(mult(mult(A,C),B),mult(C,ld(B,B))),
eq_15 ).
cnf(eq_18,plain,
mult(mult(A,B),C) = mult(mult(A,rd(C,ld(B,B))),B),
eq_11 ).
cnf(eq_19,plain,
mult(A,mult(B,ld(A,C))) = mult(mult(rd(A,A),B),C),
eq_13 ).
cnf(eq_20,plain,
mult(A,mult(B,ld(C,C))) = mult(mult(rd(A,C),B),C),
eq_10 ).
cnf(eq_21,plain,
A = rd(B,ld(A,B)),
eq_16 ).
cnf(eq_22,plain,
mult(A,mult(B,C)) = mult(B,mult(ld(rd(B,B),A),C)),
eq_12 ).
cnf(eq_23,plain,
A = ld(rd(B,A),B),
eq_9 ).
cnf(eq_24,plain,
ld(mult(A,B),mult(mult(A,C),B)) = mult(C,ld(B,B)),
eq_8 ).
cnf(eq_25,plain,
rd(mult(A,mult(B,ld(C,C))),C) = mult(rd(A,C),B),
inference(cp,[status(thm)],[eq_20,eq_3]) ).
cnf(eq_26,plain,
ld(mult(B,x101),mult(A,x101)) = mult(ld(B,A),ld(x101,x101)),
inference(cp,[status(thm)],[eq_0,eq_24]) ).
cnf(eq_27,plain,
ld(mult(rd(x100,x100),B),mult(x100,A)) = mult(x100,ld(B,A)),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_28,plain,
mult(x100,A) = mult(mult(rd(x100,x100),rd(A,ld(x100,x102))),x102),
inference(cp,[status(thm)],[eq_2,eq_19]) ).
cnf(eq_29,plain,
rd(mult(x100,A),mult(x100,B)) = mult(rd(x100,x100),rd(A,B)),
inference(cp,[status(thm)],[eq_2,eq_14]) ).
cnf(eq_30,plain,
rd(mult(A,x102),mult(B,ld(x102,x102))) = mult(rd(A,B),x102),
inference(cp,[status(thm)],[eq_2,eq_17]) ).
cnf(eq_31,plain,
mult(rd(A,B),C) = rd(mult(A,C),mult(B,ld(C,C))),
eq_30 ).
cnf(eq_32,plain,
ld(mult(A,B),mult(C,B)) = mult(ld(A,C),ld(B,B)),
eq_26 ).
cnf(eq_33,plain,
ld(mult(rd(A,A),B),mult(A,C)) = mult(A,ld(B,C)),
eq_27 ).
cnf(eq_34,plain,
mult(A,B) = mult(mult(rd(A,A),rd(B,ld(A,C))),C),
eq_28 ).
cnf(eq_35,plain,
mult(rd(A,B),C) = rd(mult(A,mult(C,ld(B,B))),B),
eq_25 ).
cnf(eq_36,plain,
mult(rd(A,A),rd(B,C)) = rd(mult(A,B),mult(A,C)),
eq_29 ).
cnf(eq_37,negated_conjecture,
mult(mult(a,rd(mult(a,c),ld(b,b))),b) != mult(mult(a,a),mult(b,c)),
inference(cp,[status(thm)],[eq_18,eq_6]) ).
cnf(eq_38,plain,
rd(mult(B,x101),A) = mult(rd(B,B),rd(x101,ld(B,A))),
inference(cp,[status(thm)],[eq_0,eq_36]) ).
cnf(eq_39,plain,
mult(rd(A,A),rd(B,ld(A,C))) = rd(mult(A,B),C),
eq_38 ).
cnf(eq_40,plain,
rd(mult(A,mult(B,ld(x102,x102))),x102) = mult(rd(B,x102),ld(rd(B,B),A)),
inference(cp,[status(thm)],[eq_22,eq_35]) ).
cnf(eq_41,plain,
mult(rd(A,B),C) = mult(rd(C,B),ld(rd(C,C),A)),
inference(rw,[status(thm)],[eq_40,eq_35]) ).
cnf(eq_42,plain,
ld(mult(rd(A,A),C),mult(A,B)) = mult(rd(B,ld(A,C)),ld(C,C)),
inference(cp,[status(thm)],[eq_34,eq_24]) ).
cnf(eq_43,plain,
mult(A,ld(B,C)) = mult(rd(C,ld(A,B)),ld(B,B)),
inference(rw,[status(thm)],[eq_42,eq_33]) ).
cnf(eq_44,plain,
ld(rd(A,A),rd(mult(A,B),C)) = rd(B,ld(A,C)),
inference(cp,[status(thm)],[eq_39,eq_1]) ).
cnf(eq_45,plain,
mult(rd(mult(A,B),C),x102) = mult(A,mult(rd(B,ld(A,C)),ld(A,x102))),
inference(cp,[status(thm)],[eq_39,eq_19]) ).
cnf(eq_46,plain,
rd(mult(A,ld(B,C)),ld(B,B)) = rd(C,ld(A,B)),
inference(cp,[status(thm)],[eq_43,eq_3]) ).
cnf(eq_47,plain,
rd(mult(x100,B),mult(A,ld(B,C))) = mult(rd(x100,rd(C,ld(A,B))),B),
inference(cp,[status(thm)],[eq_43,eq_31]) ).
cnf(eq_48,plain,
mult(rd(x100,A),ld(B,B)) = mult(rd(B,A),ld(B,x100)),
inference(cp,[status(thm)],[eq_23,eq_43]) ).
cnf(eq_49,plain,
rd(A,ld(B,C)) = rd(mult(B,ld(C,A)),ld(C,C)),
eq_46 ).
cnf(eq_50,plain,
mult(rd(A,rd(B,ld(C,x3))),x3) = rd(mult(A,x3),mult(C,ld(x3,B))),
eq_47 ).
cnf(eq_51,plain,
mult(A,mult(rd(B,ld(A,C)),ld(A,x3))) = mult(rd(mult(A,B),C),x3),
eq_45 ).
cnf(eq_52,plain,
mult(rd(A,B),ld(A,C)) = mult(rd(C,B),ld(A,A)),
eq_48 ).
cnf(eq_53,plain,
ld(rd(B,B),rd(A,x102)) = rd(ld(B,A),ld(B,x102)),
inference(cp,[status(thm)],[eq_0,eq_44]) ).
cnf(eq_54,plain,
mult(A,ld(rd(B,B),x102)) = mult(rd(x102,ld(A,B)),B),
inference(cp,[status(thm)],[eq_21,eq_41]) ).
cnf(eq_55,plain,
mult(A,ld(rd(B,B),C)) = mult(rd(C,ld(A,B)),B),
eq_54 ).
cnf(eq_56,plain,
ld(rd(A,A),rd(B,C)) = rd(ld(A,B),ld(A,C)),
eq_53 ).
cnf(eq_57,plain,
rd(mult(x100,A),ld(B,B)) = rd(mult(B,A),ld(x100,B)),
inference(cp,[status(thm)],[eq_1,eq_49]) ).
cnf(eq_58,plain,
rd(mult(A,B),ld(C,A)) = rd(mult(C,B),ld(A,A)),
eq_57 ).
cnf(eq_59,plain,
rd(mult(B,x101),A) = rd(mult(rd(B,A),x101),ld(B,B)),
inference(cp,[status(thm)],[eq_23,eq_58]) ).
cnf(eq_60,plain,
rd(mult(A,B),C) = rd(mult(rd(A,C),B),ld(A,A)),
eq_59 ).
cnf(eq_61,negated_conjecture,
mult(mult(a,rd(mult(b,c),ld(a,b))),b) != mult(mult(a,a),mult(b,c)),
inference(cp,[status(thm)],[eq_58,eq_37]) ).
cnf(eq_62,plain,
mult(A,mult(rd(A,ld(A,x102)),ld(A,C))) = mult(rd(mult(A,C),x102),A),
inference(cp,[status(thm)],[eq_52,eq_51]) ).
cnf(eq_63,plain,
mult(rd(mult(A,A),B),C) = mult(rd(mult(A,C),B),A),
inference(rw,[status(thm)],[eq_62,eq_51]) ).
cnf(eq_64,plain,
rd(mult(rd(mult(A,C),B),A),ld(mult(A,A),mult(A,A))) = rd(mult(mult(A,A),C),B),
inference(cp,[status(thm)],[eq_63,eq_60]) ).
cnf(eq_65,plain,
mult(A,rd(B,ld(A,C))) = rd(mult(mult(A,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)],[eq_64,eq_32]),eq_50]),eq_21]),eq_55]),eq_56]),eq_1]) ).
cnf(eq_66,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,a),mult(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_61,eq_65]),eq_2]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP754-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n023.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 04:43:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 170.24/170.44 % SZS status Unsatisfiable
% 170.24/170.44 % SZS output start CNFRefutation for /tmp/MaedMax_28743
% See solution above
% 170.24/170.44
%------------------------------------------------------------------------------