TSTP Solution File: GRP409-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP409-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n014.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 07:02:42 EDT 2022
% Result : Unsatisfiable 0.66s 0.84s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 6 RR)
% Number of literals : 23 ( 22 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(multiply(inverse(C),C))),
file('/tmp/MaedMax_29299') ).
cnf(eq_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_29299') ).
cnf(eq_2,plain,
multiply(multiply(inverse(multiply(x100,inverse(A))),multiply(x100,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))) = multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))) = multiply(inverse(multiply(x3,inverse(multiply(B,C)))),multiply(x3,inverse(C))),
eq_2 ).
cnf(eq_4,plain,
A = multiply(inverse(multiply(x103,inverse(multiply(multiply(A,inverse(multiply(inverse(x102),x102))),x102)))),multiply(x103,inverse(x102))),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_5,plain,
multiply(inverse(multiply(x3,inverse(multiply(B,C)))),multiply(x3,inverse(C))) = multiply(inverse(multiply(x103,inverse(multiply(B,C)))),multiply(x103,inverse(C))),
inference(cp,[status(thm)],[eq_3,eq_3]) ).
cnf(eq_6,plain,
multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C))) = multiply(inverse(multiply(x3,inverse(multiply(B,C)))),multiply(x3,inverse(C))),
eq_5 ).
cnf(eq_7,plain,
A = multiply(inverse(multiply(B,inverse(multiply(multiply(A,inverse(multiply(inverse(C),C))),C)))),multiply(B,inverse(C))),
eq_4 ).
cnf(eq_8,plain,
multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(multiply(multiply(x101,inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),multiply(inverse(C),C))))),A) = x101,
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_9,plain,
multiply(inverse(multiply(x100,inverse(A))),multiply(x100,inverse(multiply(B,inverse(C))))) = multiply(inverse(multiply(x103,inverse(multiply(inverse(multiply(B,inverse(multiply(multiply(A,inverse(multiply(inverse(C),C))),C)))),multiply(B,inverse(C)))))),multiply(x103,inverse(multiply(B,inverse(C))))),
inference(cp,[status(thm)],[eq_7,eq_6]) ).
cnf(eq_10,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,inverse(x3))))) = multiply(inverse(multiply(x4,inverse(B))),multiply(x4,inverse(multiply(C,inverse(x3))))),
inference(rw,[status(thm)],[eq_9,eq_7]) ).
cnf(eq_11,plain,
A = multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(C,x3)))),multiply(B,inverse(x3))),inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(x3),x3)),multiply(inverse(x3),x3)))),multiply(inverse(x3),x3))))),C),
eq_8 ).
cnf(eq_12,plain,
multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(A,inverse(x103))))),multiply(B,inverse(inverse(x103)))),inverse(x101))),A) = multiply(inverse(multiply(x104,inverse(x101))),multiply(x104,inverse(multiply(inverse(inverse(x103)),inverse(x103))))),
inference(cp,[status(thm)],[eq_0,eq_10]) ).
cnf(eq_13,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(C)),inverse(C))))) = multiply(inverse(multiply(multiply(inverse(multiply(x3,inverse(multiply(x4,inverse(C))))),multiply(x3,inverse(inverse(C)))),inverse(B))),x4),
eq_12 ).
cnf(eq_14,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(x104,inverse(multiply(inverse(inverse(x102)),inverse(x102))))),multiply(x104,inverse(multiply(inverse(inverse(x102)),inverse(x102))))),
inference(cp,[status(thm)],[eq_0,eq_13]) ).
cnf(eq_15,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(C)),inverse(C))))),multiply(B,inverse(multiply(inverse(inverse(C)),inverse(C))))),
eq_14 ).
cnf(eq_16,plain,
multiply(inverse(A),multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(inverse(x101)),inverse(x101))),x3)))),multiply(B,inverse(x3))),inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(x3),x3)),multiply(inverse(x3),x3)))),multiply(inverse(x3),x3))))),inverse(multiply(inverse(inverse(x101)),inverse(x101))))) = multiply(inverse(x102),x102),
inference(cp,[status(thm)],[eq_11,eq_15]) ).
cnf(eq_17,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_16,eq_11]) ).
cnf(eq_18,negated_conjecture,
multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(C)),inverse(C))))),multiply(B,inverse(multiply(inverse(inverse(C)),inverse(C))))) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_15,eq_1]) ).
cnf(eq_19,negated_conjecture,
multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(B)),inverse(B))))),multiply(A,inverse(multiply(inverse(inverse(B)),inverse(B))))) != multiply(inverse(b1),b1),
eq_18 ).
cnf(eq_20,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_17,eq_19]) ).
cnf(eq_21,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(A),A),
eq_20 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP409-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : run_maedmax %d %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Jul 26 04:12:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.66/0.84 % SZS status Unsatisfiable
% 0.66/0.84 % SZS output start CNFRefutation for /tmp/MaedMax_29299
% See solution above
% 0.66/0.84
%------------------------------------------------------------------------------