TSTP Solution File: GRP424-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP424-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n019.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 07:02:43 EDT 2022
% Result : Unsatisfiable 1.06s 1.23s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 6 RR)
% Number of literals : 27 ( 26 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 15 ( 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 : 63 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C))),
file('/tmp/MaedMax_6839') ).
cnf(eq_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_6839') ).
cnf(eq_2,plain,
multiply(inverse(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(inverse(A),C)))),multiply(B,inverse(C))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C))) = multiply(inverse(multiply(inverse(multiply(x3,inverse(B))),multiply(x3,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),
eq_2 ).
cnf(eq_4,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(x101),inverse(multiply(inverse(C),C)))),C)))),multiply(A,inverse(C))) = x101,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_5,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(x3,inverse(B))),multiply(x3,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(C),C))) = B,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_6,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C))) = multiply(inverse(multiply(x103,inverse(multiply(inverse(B),C)))),multiply(x103,inverse(C))),
inference(cp,[status(thm)],[eq_3,eq_3]) ).
cnf(eq_7,plain,
A = multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(A))),multiply(B,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(C),C))),
eq_5 ).
cnf(eq_8,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C))) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),C)))),multiply(x3,inverse(C))),
eq_6 ).
cnf(eq_9,plain,
A = multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(C),C)))),C)))),multiply(B,inverse(C))),
eq_4 ).
cnf(eq_10,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(inverse(multiply(inverse(A),inverse(multiply(inverse(C),C)))),C)))),multiply(B,inverse(C)))))),multiply(x103,inverse(multiply(B,inverse(C))))),
inference(cp,[status(thm)],[eq_9,eq_8]) ).
cnf(eq_11,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_10,eq_9]) ).
cnf(eq_12,plain,
multiply(inverse(multiply(x100,inverse(x101))),multiply(x100,inverse(A))) = multiply(inverse(multiply(x104,inverse(x101))),multiply(x104,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(A))),multiply(B,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(C),C)))))),
inference(cp,[status(thm)],[eq_7,eq_11]) ).
cnf(eq_13,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))) = multiply(inverse(multiply(x3,inverse(B))),multiply(x3,inverse(C))),
inference(rw,[status(thm)],[eq_12,eq_7]) ).
cnf(eq_14,plain,
multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(x102))) = multiply(inverse(multiply(x103,inverse(multiply(inverse(C),C)))),multiply(x103,inverse(x102))),
inference(cp,[status(thm)],[eq_0,eq_13]) ).
cnf(eq_15,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(x101))),A) = multiply(inverse(multiply(x103,inverse(x101))),multiply(x103,inverse(multiply(inverse(C),C)))),
inference(cp,[status(thm)],[eq_0,eq_13]) ).
cnf(eq_16,plain,
multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(x3))) = multiply(inverse(multiply(x4,inverse(multiply(inverse(C),C)))),multiply(x4,inverse(x3))),
eq_14 ).
cnf(eq_17,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(C),C)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(x3,inverse(multiply(inverse(x4),C)))),multiply(x3,inverse(C)))),inverse(B))),x4),
eq_15 ).
cnf(eq_18,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(x104,inverse(multiply(inverse(C),C)))),multiply(x104,inverse(multiply(inverse(C),C)))),
inference(cp,[status(thm)],[eq_0,eq_16]) ).
cnf(eq_19,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C)))),
eq_18 ).
cnf(eq_20,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(x3,inverse(multiply(inverse(x4),C)))),multiply(x3,inverse(C)))),inverse(multiply(inverse(C),C)))),x4) = multiply(inverse(x102),x102),
inference(cp,[status(thm)],[eq_17,eq_19]) ).
cnf(eq_21,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_20,eq_0]) ).
cnf(eq_22,negated_conjecture,
multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C)))) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_19,eq_1]) ).
cnf(eq_23,negated_conjecture,
multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(B),B)))) != multiply(inverse(b1),b1),
eq_22 ).
cnf(eq_24,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_21,eq_23]) ).
cnf(eq_25,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(A),A),
eq_24 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP424-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n019.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 04:23:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.06/1.23 % SZS status Unsatisfiable
% 1.06/1.23 % SZS output start CNFRefutation for /tmp/MaedMax_6839
% See solution above
% 1.06/1.23
%------------------------------------------------------------------------------