TSTP Solution File: GRP751-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP751-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n013.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 79.49s 79.69s
% Output : CNFRefutation 79.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of clauses : 55 ( 55 unt; 0 nHn; 11 RR)
% Number of literals : 55 ( 54 equ; 10 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 119 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = mult(B,ld(B,A)),
file('/tmp/MaedMax_28456') ).
cnf(eq_1,axiom,
A = ld(B,mult(B,A)),
file('/tmp/MaedMax_28456') ).
cnf(eq_2,axiom,
A = mult(rd(A,B),B),
file('/tmp/MaedMax_28456') ).
cnf(eq_3,axiom,
A = rd(mult(A,B),B),
file('/tmp/MaedMax_28456') ).
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_28456') ).
cnf(eq_5,axiom,
mult(mult(A,A),mult(B,C)) = mult(mult(A,B),mult(A,C)),
file('/tmp/MaedMax_28456') ).
cnf(eq_6,axiom,
mult(mult(A,B),mult(C,B)) = mult(mult(A,C),mult(B,B)),
file('/tmp/MaedMax_28456') ).
cnf(eq_7,negated_conjecture,
mult(mult(rd(a,a),b),mult(a,c)) != mult(a,mult(b,c)),
file('/tmp/MaedMax_28456') ).
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,
mult(mult(x100,x100),A) = mult(mult(x100,rd(A,B)),mult(x100,B)),
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_10,plain,
mult(A,mult(B,x102)) = mult(mult(B,B),mult(ld(B,A),x102)),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_11,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_12,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_13,plain,
mult(A,mult(B,C)) = mult(mult(rd(A,C),B),mult(C,C)),
eq_11 ).
cnf(eq_14,plain,
mult(mult(A,B),C) = mult(mult(A,rd(C,B)),mult(B,B)),
eq_12 ).
cnf(eq_15,plain,
mult(mult(A,A),B) = mult(mult(A,rd(B,C)),mult(A,C)),
eq_9 ).
cnf(eq_16,plain,
mult(A,B) = rd(mult(mult(A,C),mult(B,C)),mult(C,C)),
eq_8 ).
cnf(eq_17,plain,
mult(A,mult(B,C)) = mult(mult(B,B),mult(ld(B,A),C)),
eq_10 ).
cnf(eq_18,plain,
mult(A,mult(x102,x102)) = mult(mult(rd(A,rd(x101,x102)),x102),x101),
inference(cp,[status(thm)],[eq_2,eq_14]) ).
cnf(eq_19,plain,
rd(mult(mult(A,B),C),mult(B,B)) = mult(A,rd(C,B)),
inference(cp,[status(thm)],[eq_14,eq_3]) ).
cnf(eq_20,plain,
rd(mult(mult(A,A),B),mult(A,C)) = mult(A,rd(B,C)),
inference(cp,[status(thm)],[eq_15,eq_3]) ).
cnf(eq_21,plain,
mult(A,mult(B,B)) = mult(mult(rd(A,rd(C,B)),B),C),
eq_18 ).
cnf(eq_22,plain,
mult(A,rd(B,C)) = rd(mult(mult(A,C),B),mult(C,C)),
eq_19 ).
cnf(eq_23,plain,
rd(mult(A,mult(x102,B)),mult(B,B)) = mult(rd(A,B),x102),
inference(cp,[status(thm)],[eq_2,eq_16]) ).
cnf(eq_24,plain,
mult(rd(A,B),C) = rd(mult(A,mult(C,B)),mult(B,B)),
eq_23 ).
cnf(eq_25,plain,
rd(mult(A,mult(B,B)),C) = mult(rd(A,rd(C,B)),B),
inference(cp,[status(thm)],[eq_21,eq_3]) ).
cnf(eq_26,plain,
rd(A,mult(x100,x102)) = mult(x100,rd(ld(mult(x100,x100),A),x102)),
inference(cp,[status(thm)],[eq_0,eq_20]) ).
cnf(eq_27,plain,
rd(A,mult(x101,x101)) = mult(x100,rd(ld(mult(x100,x101),A),x101)),
inference(cp,[status(thm)],[eq_0,eq_22]) ).
cnf(eq_28,plain,
rd(mult(A,x102),mult(B,B)) = mult(rd(A,B),rd(x102,B)),
inference(cp,[status(thm)],[eq_2,eq_22]) ).
cnf(eq_29,plain,
mult(A,rd(ld(mult(A,B),C),B)) = rd(C,mult(B,B)),
eq_27 ).
cnf(eq_30,plain,
mult(A,rd(ld(mult(A,A),B),C)) = rd(B,mult(A,C)),
eq_26 ).
cnf(eq_31,plain,
mult(rd(A,rd(B,C)),C) = rd(mult(A,mult(C,C)),B),
eq_25 ).
cnf(eq_32,plain,
mult(rd(A,B),rd(C,B)) = rd(mult(A,C),mult(B,B)),
eq_28 ).
cnf(eq_33,plain,
rd(rd(mult(A,mult(C,B)),mult(B,B)),C) = rd(A,B),
inference(cp,[status(thm)],[eq_24,eq_3]) ).
cnf(eq_34,plain,
rd(mult(A,mult(B,C)),mult(C,C)) = mult(rd(mult(B,B),C),ld(B,A)),
inference(cp,[status(thm)],[eq_17,eq_24]) ).
cnf(eq_35,negated_conjecture,
mult(rd(mult(a,mult(b,a)),mult(a,a)),mult(a,c)) != mult(a,mult(b,c)),
inference(cp,[status(thm)],[eq_24,eq_7]) ).
cnf(eq_36,plain,
rd(rd(mult(A,mult(C,C)),B),C) = rd(A,rd(B,C)),
inference(cp,[status(thm)],[eq_31,eq_3]) ).
cnf(eq_37,plain,
mult(rd(A,B),C) = mult(rd(mult(C,C),B),ld(C,A)),
inference(rw,[status(thm)],[eq_34,eq_24]) ).
cnf(eq_38,plain,
ld(A,rd(B,mult(A,C))) = rd(ld(mult(A,A),B),C),
inference(cp,[status(thm)],[eq_30,eq_1]) ).
cnf(eq_39,plain,
mult(rd(A,B),rd(ld(A,x102),B)) = rd(x102,mult(B,B)),
inference(cp,[status(thm)],[eq_2,eq_29]) ).
cnf(eq_40,plain,
mult(rd(A,B),rd(ld(A,C),B)) = rd(C,mult(B,B)),
eq_39 ).
cnf(eq_41,negated_conjecture,
mult(mult(rd(A,a),rd(ld(A,mult(a,mult(b,a))),a)),mult(a,c)) != mult(a,mult(b,c)),
inference(cp,[status(thm)],[eq_40,eq_35]) ).
cnf(eq_42,negated_conjecture,
mult(mult(rd(mult(A,A),a),ld(A,rd(mult(a,mult(b,a)),mult(A,a)))),mult(a,c)) != mult(a,mult(b,c)),
inference(cp,[status(thm)],[eq_38,eq_41]) ).
cnf(eq_43,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_33]) ).
cnf(eq_44,plain,
rd(mult(A,B),C) = rd(rd(mult(mult(A,mult(A,A)),mult(B,C)),mult(C,C)),mult(A,A)),
eq_43 ).
cnf(eq_45,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_44,eq_32]),eq_3]),eq_32]),eq_36]) ).
cnf(eq_46,plain,
mult(rd(B,rd(x101,B)),A) = rd(mult(B,mult(A,B)),x101),
inference(cp,[status(thm)],[eq_3,eq_45]) ).
cnf(eq_47,plain,
mult(rd(A,rd(B,A)),C) = rd(mult(A,mult(C,A)),B),
eq_46 ).
cnf(eq_48,negated_conjecture,
mult(mult(rd(mult(x100,x100),a),ld(x100,mult(rd(a,rd(mult(x100,a),a)),b))),mult(a,c)) != mult(a,mult(b,c)),
inference(cp,[status(thm)],[eq_47,eq_42]) ).
cnf(eq_49,negated_conjecture,
mult(mult(rd(mult(A,A),a),ld(A,mult(rd(a,A),b))),mult(a,c)) != mult(a,mult(b,c)),
inference(rw,[status(thm)],[eq_48,eq_3]) ).
cnf(eq_50,negated_conjecture,
mult(mult(rd(mult(rd(a,C),b),a),C),mult(a,c)) != mult(a,mult(b,c)),
inference(cp,[status(thm)],[eq_37,eq_49]) ).
cnf(eq_51,negated_conjecture,
mult(mult(rd(mult(rd(a,A),b),a),A),mult(a,c)) != mult(a,mult(b,c)),
eq_50 ).
cnf(eq_52,negated_conjecture,
mult(mult(rd(mult(rd(a,c),b),a),a),mult(c,c)) != mult(a,mult(b,c)),
inference(cp,[status(thm)],[eq_6,eq_51]) ).
cnf(eq_53,negated_conjecture,
mult(a,mult(b,c)) != mult(a,mult(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_2]),eq_13]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP751-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n013.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 04:06:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 79.49/79.69 % SZS status Unsatisfiable
% 79.49/79.69 % SZS output start CNFRefutation for /tmp/MaedMax_28456
% See solution above
% 79.49/79.69
%------------------------------------------------------------------------------