TSTP Solution File: GRP750-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP750-1 : 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 80.31s 80.52s
% Output : CNFRefutation 80.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 7
% Syntax : Number of clauses : 64 ( 64 unt; 0 nHn; 3 RR)
% Number of literals : 64 ( 63 equ; 2 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 : 159 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(B,ld(B,A)),
file('/tmp/MaedMax_15060') ).
cnf(eq_1,axiom,
A = ld(B,mult(B,A)),
file('/tmp/MaedMax_15060') ).
cnf(eq_2,axiom,
A = mult(rd(A,B),B),
file('/tmp/MaedMax_15060') ).
cnf(eq_3,axiom,
A = rd(mult(A,B),B),
file('/tmp/MaedMax_15060') ).
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_15060') ).
cnf(eq_5,axiom,
mult(mult(A,B),mult(C,B)) = mult(mult(A,C),mult(B,B)),
file('/tmp/MaedMax_15060') ).
cnf(eq_6,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
file('/tmp/MaedMax_15060') ).
cnf(eq_7,plain,
ld(rd(A,B),A) = B,
inference(cp,[status(thm)],[eq_2,eq_1]) ).
cnf(eq_8,plain,
rd(mult(mult(A,mult(A,A)),mult(B,C)),mult(mult(A,A),C)) = mult(A,B),
inference(cp,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_9,plain,
mult(A,mult(x102,B)) = mult(mult(rd(A,B),x102),mult(B,B)),
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_10,plain,
mult(mult(x100,B),A) = mult(mult(x100,rd(A,B)),mult(B,B)),
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_11,plain,
mult(A,mult(x102,x102)) = mult(mult(rd(A,B),x102),mult(B,x102)),
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_12,plain,
mult(A,mult(B,B)) = mult(mult(rd(A,C),B),mult(C,B)),
eq_11 ).
cnf(eq_13,plain,
mult(A,mult(B,C)) = mult(mult(rd(A,C),B),mult(C,C)),
eq_9 ).
cnf(eq_14,plain,
mult(mult(A,B),C) = mult(mult(A,rd(C,B)),mult(B,B)),
eq_10 ).
cnf(eq_15,plain,
A = ld(rd(B,A),B),
eq_7 ).
cnf(eq_16,plain,
ld(mult(A,rd(C,B)),mult(mult(A,B),C)) = mult(B,B),
inference(cp,[status(thm)],[eq_14,eq_1]) ).
cnf(eq_17,plain,
rd(mult(A,mult(B,C)),mult(C,C)) = mult(rd(A,C),B),
inference(cp,[status(thm)],[eq_13,eq_3]) ).
cnf(eq_18,plain,
rd(mult(A,mult(B,B)),mult(C,B)) = mult(rd(A,C),B),
inference(cp,[status(thm)],[eq_12,eq_3]) ).
cnf(eq_19,plain,
mult(rd(A,B),C) = rd(mult(A,mult(C,B)),mult(B,B)),
eq_17 ).
cnf(eq_20,plain,
mult(rd(A,B),C) = rd(mult(A,mult(C,C)),mult(B,C)),
eq_18 ).
cnf(eq_21,plain,
ld(mult(A,rd(B,C)),mult(mult(A,C),B)) = mult(C,C),
eq_16 ).
cnf(eq_22,plain,
rd(mult(x100,A),mult(B,B)) = mult(rd(x100,B),rd(A,B)),
inference(cp,[status(thm)],[eq_2,eq_19]) ).
cnf(eq_23,plain,
rd(A,mult(x102,x101)) = mult(rd(rd(A,mult(x101,x101)),x102),x101),
inference(cp,[status(thm)],[eq_2,eq_20]) ).
cnf(eq_24,plain,
rd(mult(x100,mult(B,B)),A) = mult(rd(x100,rd(A,B)),B),
inference(cp,[status(thm)],[eq_2,eq_20]) ).
cnf(eq_25,plain,
mult(rd(A,rd(B,C)),C) = rd(mult(A,mult(C,C)),B),
eq_24 ).
cnf(eq_26,plain,
mult(rd(rd(A,mult(B,B)),C),B) = rd(A,mult(C,B)),
eq_23 ).
cnf(eq_27,plain,
mult(rd(A,B),rd(C,B)) = rd(mult(A,C),mult(B,B)),
eq_22 ).
cnf(eq_28,plain,
rd(rd(mult(A,mult(C,C)),B),C) = rd(A,rd(B,C)),
inference(cp,[status(thm)],[eq_25,eq_3]) ).
cnf(eq_29,plain,
rd(rd(A,mult(C,B)),B) = rd(rd(A,mult(B,B)),C),
inference(cp,[status(thm)],[eq_26,eq_3]) ).
cnf(eq_30,plain,
rd(mult(A,B),C) = rd(rd(mult(mult(A,mult(A,A)),mult(B,C)),mult(C,C)),mult(A,A)),
inference(cp,[status(thm)],[eq_8,eq_29]) ).
cnf(eq_31,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_30,eq_27]),eq_3]),eq_27]),eq_28]) ).
cnf(eq_32,plain,
mult(rd(B,A),rd(x102,B)) = rd(mult(B,x102),mult(A,B)),
inference(cp,[status(thm)],[eq_3,eq_31]) ).
cnf(eq_33,plain,
mult(rd(B,rd(x101,B)),A) = rd(mult(B,mult(A,B)),x101),
inference(cp,[status(thm)],[eq_3,eq_31]) ).
cnf(eq_34,plain,
mult(rd(A,rd(B,A)),C) = rd(mult(A,mult(C,A)),B),
eq_33 ).
cnf(eq_35,plain,
mult(rd(A,B),rd(C,A)) = rd(mult(A,C),mult(B,A)),
eq_32 ).
cnf(eq_36,plain,
mult(rd(B,A),x102) = rd(mult(B,mult(x102,B)),mult(A,B)),
inference(cp,[status(thm)],[eq_3,eq_34]) ).
cnf(eq_37,plain,
mult(rd(A,B),C) = rd(mult(A,mult(C,A)),mult(B,A)),
eq_36 ).
cnf(eq_38,plain,
mult(mult(rd(A,B),C),mult(B,A)) = mult(A,mult(C,A)),
inference(cp,[status(thm)],[eq_37,eq_2]) ).
cnf(eq_39,plain,
mult(rd(mult(rd(A,A),C),x102),A) = rd(mult(A,mult(C,A)),mult(x102,A)),
inference(cp,[status(thm)],[eq_37,eq_26]) ).
cnf(eq_40,plain,
mult(rd(mult(rd(A,A),B),C),A) = rd(mult(A,mult(B,A)),mult(C,A)),
eq_39 ).
cnf(eq_41,plain,
mult(A,mult(B,A)) = mult(mult(rd(A,C),B),mult(C,A)),
eq_38 ).
cnf(eq_42,plain,
mult(A,mult(x101,x100)) = mult(x100,mult(ld(rd(x100,x101),A),x100)),
inference(cp,[status(thm)],[eq_0,eq_41]) ).
cnf(eq_43,plain,
mult(rd(A,B),C) = mult(rd(mult(rd(A,A),C),B),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_40,eq_35]),eq_3]) ).
cnf(eq_44,plain,
mult(mult(rd(A,B),C),mult(B,B)) = mult(mult(rd(A,A),C),mult(A,B)),
inference(cp,[status(thm)],[eq_43,eq_13]) ).
cnf(eq_45,plain,
mult(A,mult(B,C)) = mult(mult(rd(A,A),B),mult(A,C)),
inference(rw,[status(thm)],[eq_44,eq_13]) ).
cnf(eq_46,plain,
mult(A,mult(B,C)) = mult(C,mult(ld(rd(C,B),A),C)),
eq_42 ).
cnf(eq_47,plain,
ld(mult(rd(A,A),B),mult(A,mult(B,C))) = mult(A,C),
inference(cp,[status(thm)],[eq_45,eq_1]) ).
cnf(eq_48,plain,
ld(C,mult(A,mult(B,C))) = mult(ld(rd(C,B),A),C),
inference(cp,[status(thm)],[eq_46,eq_1]) ).
cnf(eq_49,plain,
mult(mult(rd(B,B),x101),A) = mult(B,mult(x101,ld(B,A))),
inference(cp,[status(thm)],[eq_0,eq_45]) ).
cnf(eq_50,plain,
ld(A,mult(B,mult(C,A))) = mult(ld(rd(A,C),B),A),
eq_48 ).
cnf(eq_51,plain,
mult(A,mult(B,ld(A,C))) = mult(mult(rd(A,A),B),C),
eq_49 ).
cnf(eq_52,plain,
ld(mult(rd(x100,x100),B),mult(x100,A)) = mult(x100,ld(B,A)),
inference(cp,[status(thm)],[eq_0,eq_47]) ).
cnf(eq_53,plain,
ld(mult(rd(A,A),B),mult(A,C)) = mult(A,ld(B,C)),
eq_52 ).
cnf(eq_54,plain,
ld(mult(rd(B,B),x101),A) = mult(B,ld(x101,ld(B,A))),
inference(cp,[status(thm)],[eq_0,eq_53]) ).
cnf(eq_55,plain,
ld(mult(rd(A,A),B),C) = mult(A,ld(B,ld(A,C))),
eq_54 ).
cnf(eq_56,plain,
mult(C,C) = mult(x100,ld(rd(B,C),ld(x100,mult(mult(rd(x100,x100),C),B)))),
inference(cp,[status(thm)],[eq_21,eq_55]) ).
cnf(eq_57,plain,
mult(A,A) = mult(B,ld(rd(C,A),mult(A,ld(B,C)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_51]),eq_1]) ).
cnf(eq_58,plain,
mult(rd(B,A),ld(rd(B,x102),mult(x102,A))) = mult(x102,x102),
inference(cp,[status(thm)],[eq_15,eq_57]) ).
cnf(eq_59,plain,
mult(A,A) = mult(rd(B,C),ld(rd(B,A),mult(A,C))),
eq_58 ).
cnf(eq_60,plain,
mult(mult(A,A),mult(C,B)) = mult(B,mult(ld(rd(B,A),mult(A,C)),B)),
inference(cp,[status(thm)],[eq_59,eq_41]) ).
cnf(eq_61,plain,
mult(mult(A,A),mult(B,C)) = mult(mult(A,B),mult(A,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_50]),eq_0]) ).
cnf(eq_62,negated_conjecture,
mult(mult(a,b),mult(a,c)) != mult(mult(a,b),mult(a,c)),
inference(cp,[status(thm)],[eq_61,eq_6]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP750-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n006.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 04:17:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 80.31/80.52 % SZS status Unsatisfiable
% 80.31/80.52 % SZS output start CNFRefutation for /tmp/MaedMax_15060
% See solution above
% 80.31/80.52
%------------------------------------------------------------------------------