TSTP Solution File: GRP403-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP403-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n029.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 07:02:41 EDT 2022
% Result : Unsatisfiable 1.44s 1.69s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 6 RR)
% Number of literals : 35 ( 34 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 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 : 87 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),A)),inverse(multiply(C,multiply(inverse(C),C)))))),
file('/tmp/MaedMax_8682') ).
cnf(eq_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_8682') ).
cnf(eq_2,plain,
multiply(x100,inverse(multiply(inverse(A),inverse(multiply(x101,multiply(inverse(x101),x101)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(x100,x101)),C)),A)),inverse(multiply(C,multiply(inverse(C),C))))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),x3)),B)),inverse(multiply(x3,multiply(inverse(x3),x3))))),
eq_2 ).
cnf(eq_4,plain,
multiply(inverse(multiply(A,C)),multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C))))))) = B,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_5,plain,
multiply(inverse(multiply(inverse(multiply(A,C)),x3)),inverse(multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C)))))),inverse(multiply(B,multiply(inverse(B),B)))))) = inverse(multiply(x3,multiply(inverse(x3),x3))),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_6,plain,
A = multiply(inverse(multiply(B,C)),multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,multiply(inverse(C),C))))))),
eq_4 ).
cnf(eq_7,plain,
multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(multiply(A,inverse(multiply(inverse(x3),inverse(multiply(B,multiply(inverse(B),B)))))),inverse(multiply(x3,multiply(inverse(x3),x3)))))) = inverse(multiply(C,multiply(inverse(C),C))),
eq_5 ).
cnf(eq_8,plain,
multiply(inverse(multiply(x100,x3)),multiply(x100,multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C)))))))) = multiply(inverse(multiply(inverse(multiply(A,C)),x3)),B),
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_9,plain,
multiply(inverse(multiply(inverse(multiply(B,C)),x102)),inverse(multiply(A,inverse(multiply(multiply(inverse(multiply(B,C)),A),multiply(inverse(multiply(inverse(multiply(B,C)),A)),multiply(inverse(multiply(B,C)),A))))))) = inverse(multiply(x102,multiply(inverse(x102),x102))),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_10,plain,
multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(inverse(x3),inverse(multiply(x4,multiply(inverse(x4),x4)))))))) = multiply(inverse(multiply(inverse(multiply(C,x4)),B)),x3),
eq_8 ).
cnf(eq_11,plain,
multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(x3,inverse(multiply(multiply(inverse(multiply(A,B)),x3),multiply(inverse(multiply(inverse(multiply(A,B)),x3)),multiply(inverse(multiply(A,B)),x3))))))) = inverse(multiply(C,multiply(inverse(C),C))),
eq_9 ).
cnf(eq_12,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(A,B)),inverse(x102)))),inverse(multiply(C,multiply(inverse(C),C)))) = x102,
inference(cp,[status(thm)],[eq_11,eq_6]) ).
cnf(eq_13,plain,
multiply(inverse(multiply(x100,x101)),multiply(x100,A)) = multiply(inverse(multiply(inverse(multiply(B,C)),x101)),multiply(inverse(multiply(B,C)),A)),
inference(cp,[status(thm)],[eq_0,eq_10]) ).
cnf(eq_14,plain,
A = multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),x3)),multiply(inverse(multiply(B,C)),inverse(A)))),inverse(multiply(x3,multiply(inverse(x3),x3)))),
eq_12 ).
cnf(eq_15,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(inverse(multiply(x3,x4)),B)),multiply(inverse(multiply(x3,x4)),C)),
eq_13 ).
cnf(eq_16,plain,
multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(x103)))),inverse(multiply(B,multiply(inverse(B),B)))) = x103,
inference(cp,[status(thm)],[eq_15,eq_14]) ).
cnf(eq_17,plain,
inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(B,multiply(inverse(B),B))))) = multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(x3,x4)),C)),inverse(multiply(x4,multiply(inverse(x4),x4)))))),
inference(cp,[status(thm)],[eq_15,eq_3]) ).
cnf(eq_18,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(x104,B)),multiply(x104,C)),
inference(cp,[status(thm)],[eq_15,eq_15]) ).
cnf(eq_19,plain,
A = inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,A))),inverse(multiply(C,multiply(inverse(C),C))))),
inference(rw,[status(thm)],[eq_17,eq_0]) ).
cnf(eq_20,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(x3,B)),multiply(x3,C)),
eq_18 ).
cnf(eq_21,plain,
A = multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(A)))),inverse(multiply(C,multiply(inverse(C),C)))),
eq_16 ).
cnf(eq_22,plain,
multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,A))),x102)) = multiply(inverse(multiply(x103,inverse(multiply(C,multiply(inverse(C),C))))),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_19,eq_20]) ).
cnf(eq_23,plain,
multiply(inverse(multiply(inverse(multiply(x100,multiply(x3,C))),multiply(x100,inverse(x102)))),inverse(multiply(multiply(x3,C),multiply(inverse(multiply(A,C)),multiply(A,C))))) = x102,
inference(cp,[status(thm)],[eq_20,eq_21]) ).
cnf(eq_24,plain,
multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,A))),x3)) = multiply(inverse(multiply(x4,inverse(multiply(C,multiply(inverse(C),C))))),multiply(x4,x3)),
eq_22 ).
cnf(eq_25,plain,
A = multiply(inverse(multiply(inverse(multiply(B,multiply(C,x3))),multiply(B,inverse(A)))),inverse(multiply(multiply(C,x3),multiply(inverse(multiply(x4,x3)),multiply(x4,x3))))),
eq_23 ).
cnf(eq_26,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(x104,inverse(multiply(C,multiply(inverse(C),C))))),multiply(x104,inverse(multiply(C,multiply(inverse(C),C))))),
inference(cp,[status(thm)],[eq_21,eq_24]) ).
cnf(eq_27,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,inverse(multiply(C,multiply(inverse(C),C))))),multiply(B,inverse(multiply(C,multiply(inverse(C),C))))),
eq_26 ).
cnf(eq_28,plain,
multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,multiply(x4,x3))),multiply(B,inverse(A)))),inverse(multiply(multiply(x4,x3),multiply(inverse(multiply(x4,x3)),multiply(x4,x3)))))) = multiply(inverse(x102),x102),
inference(cp,[status(thm)],[eq_25,eq_27]) ).
cnf(eq_29,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_28,eq_25]) ).
cnf(eq_30,negated_conjecture,
multiply(inverse(multiply(B,inverse(multiply(C,multiply(inverse(C),C))))),multiply(B,inverse(multiply(C,multiply(inverse(C),C))))) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_27,eq_1]) ).
cnf(eq_31,negated_conjecture,
multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(B),B))))),multiply(A,inverse(multiply(B,multiply(inverse(B),B))))) != multiply(inverse(b1),b1),
eq_30 ).
cnf(eq_32,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_29,eq_31]) ).
cnf(eq_33,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(A),A),
eq_32 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP403-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n029.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 04:33:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.44/1.69 % SZS status Unsatisfiable
% 1.44/1.69 % SZS output start CNFRefutation for /tmp/MaedMax_8682
% See solution above
% 1.44/1.69
%------------------------------------------------------------------------------