TSTP Solution File: GRP613-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP613-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n007.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 07:02:59 EDT 2022
% Result : Unsatisfiable 0.77s 0.96s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 8 RR)
% Number of literals : 35 ( 34 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 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 : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(inverse(double_divide(inverse(double_divide(B,inverse(A))),C)),double_divide(B,C)),
file('/tmp/MaedMax_10779') ).
cnf(eq_1,axiom,
inverse(double_divide(A,B)) = multiply(B,A),
file('/tmp/MaedMax_10779') ).
cnf(eq_2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_10779') ).
cnf(eq_3,negated_conjecture,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]) ).
cnf(eq_4,plain,
double_divide(inverse(A),double_divide(inverse(double_divide(B,inverse(A))),double_divide(B,inverse(x101)))) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(B,inverse(A))),C)),inverse(x101))),double_divide(B,C))),A) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
A = double_divide(inverse(B),double_divide(inverse(double_divide(C,inverse(B))),double_divide(C,inverse(A)))),
eq_4 ).
cnf(eq_7,plain,
A = double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(B,inverse(C))),x3)),inverse(A))),double_divide(B,x3))),C),
eq_5 ).
cnf(eq_8,plain,
double_divide(inverse(double_divide(inverse(A),double_divide(inverse(double_divide(inverse(double_divide(B,inverse(inverse(x103)))),x3)),double_divide(B,x3)))),A) = x103,
inference(cp,[status(thm)],[eq_7,eq_7]) ).
cnf(eq_9,plain,
A = double_divide(inverse(double_divide(inverse(B),inverse(A))),B),
inference(rw,[status(thm)],[eq_8,eq_0]) ).
cnf(eq_10,plain,
double_divide(inverse(A),double_divide(inverse(inverse(x101)),inverse(A))) = x101,
inference(cp,[status(thm)],[eq_9,eq_9]) ).
cnf(eq_11,plain,
double_divide(inverse(A),double_divide(inverse(B),B)) = A,
inference(cp,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_12,plain,
double_divide(inverse(double_divide(inverse(A),x102)),double_divide(inverse(double_divide(inverse(inverse(x101)),inverse(A))),x102)) = x101,
inference(cp,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_13,plain,
A = double_divide(inverse(B),double_divide(inverse(inverse(A)),inverse(B))),
eq_10 ).
cnf(eq_14,plain,
A = double_divide(inverse(double_divide(inverse(B),C)),double_divide(inverse(double_divide(inverse(inverse(A)),inverse(B))),C)),
eq_12 ).
cnf(eq_15,plain,
A = double_divide(inverse(double_divide(inverse(x101),x101)),inverse(A)),
inference(cp,[status(thm)],[eq_9,eq_11]) ).
cnf(eq_16,plain,
double_divide(inverse(x100),A) = double_divide(inverse(inverse(A)),inverse(x100)),
inference(cp,[status(thm)],[eq_13,eq_6]) ).
cnf(eq_17,plain,
A = double_divide(inverse(double_divide(inverse(B),B)),inverse(A)),
eq_15 ).
cnf(eq_18,plain,
double_divide(inverse(A),B) = double_divide(inverse(inverse(B)),inverse(A)),
eq_16 ).
cnf(eq_19,plain,
double_divide(inverse(A),double_divide(inverse(A),B)) = B,
inference(cp,[status(thm)],[eq_18,eq_13]) ).
cnf(eq_20,plain,
A = double_divide(inverse(B),double_divide(inverse(B),A)),
eq_19 ).
cnf(eq_21,plain,
double_divide(inverse(double_divide(inverse(A),B)),inverse(B)) = A,
inference(cp,[status(thm)],[eq_18,eq_9]) ).
cnf(eq_22,plain,
A = inverse(inverse(A)),
inference(cp,[status(thm)],[eq_14,eq_20]) ).
cnf(eq_23,plain,
double_divide(inverse(double_divide(inverse(B),B)),A) = inverse(A),
inference(cp,[status(thm)],[eq_17,eq_20]) ).
cnf(eq_24,plain,
double_divide(A,inverse(B)) = double_divide(inverse(B),A),
inference(rw,[status(thm)],[eq_18,eq_22]) ).
cnf(eq_25,plain,
double_divide(inverse(inverse(A)),inverse(A)) = double_divide(inverse(B),B),
inference(cp,[status(thm)],[eq_23,eq_21]) ).
cnf(eq_26,plain,
double_divide(A,inverse(A)) = double_divide(inverse(B),B),
inference(rw,[status(thm)],[eq_25,eq_22]) ).
cnf(eq_27,plain,
double_divide(x100,A) = double_divide(inverse(inverse(A)),x100),
inference(cp,[status(thm)],[eq_22,eq_24]) ).
cnf(eq_28,plain,
double_divide(A,B) = double_divide(B,A),
inference(rw,[status(thm)],[eq_27,eq_22]) ).
cnf(eq_29,negated_conjecture,
inverse(double_divide(inverse(B),B)) != inverse(double_divide(b1,inverse(b1))),
inference(cp,[status(thm)],[eq_26,eq_3]) ).
cnf(eq_30,negated_conjecture,
inverse(double_divide(inverse(A),A)) != inverse(double_divide(b1,inverse(b1))),
eq_29 ).
cnf(eq_31,negated_conjecture,
inverse(double_divide(B,inverse(B))) != inverse(double_divide(b1,inverse(b1))),
inference(cp,[status(thm)],[eq_28,eq_30]) ).
cnf(eq_32,negated_conjecture,
inverse(double_divide(A,inverse(A))) != inverse(double_divide(b1,inverse(b1))),
eq_31 ).
cnf(eq_33,negated_conjecture,
inverse(double_divide(A,inverse(A))) != inverse(double_divide(A,inverse(A))),
eq_32 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP613-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 26 03:55:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.77/0.96 % SZS status Unsatisfiable
% 0.77/0.96 % SZS output start CNFRefutation for /tmp/MaedMax_10779
% See solution above
% 0.77/0.96
%------------------------------------------------------------------------------