TSTP Solution File: GRP412-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP412-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n011.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 1.37s 1.58s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 2
% Syntax : Number of clauses : 39 ( 39 unt; 0 nHn; 6 RR)
% Number of literals : 39 ( 38 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 : 96 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(B,inverse(C))),A))),C))),
file('/tmp/MaedMax_32431') ).
cnf(eq_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_32431') ).
cnf(eq_2,plain,
multiply(x100,inverse(multiply(multiply(multiply(inverse(x101),x101),inverse(A)),x101))) = inverse(multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(inverse(multiply(x100,inverse(x101))),inverse(C))),A))),C)),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),inverse(A))),x3))),A)) = multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),inverse(x3)),C))),
eq_2 ).
cnf(eq_4,plain,
multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),inverse(x3)),C)))) = x3,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_5,plain,
A = multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),inverse(A)),C)))),
eq_4 ).
cnf(eq_6,plain,
multiply(inverse(multiply(x100,inverse(A))),multiply(x100,multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),inverse(x3)),C))))) = multiply(inverse(multiply(inverse(multiply(B,inverse(C))),inverse(A))),x3),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_7,plain,
multiply(inverse(multiply(x100,inverse(x101))),multiply(x100,inverse(multiply(A,x101)))) = multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(multiply(inverse(x101),x101),inverse(C))),A))),C),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_8,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B)))) = multiply(multiply(multiply(inverse(x3),x3),inverse(multiply(inverse(multiply(multiply(inverse(B),B),inverse(x3))),C))),x3),
eq_7 ).
cnf(eq_9,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(C,inverse(multiply(multiply(multiply(inverse(x3),x3),inverse(x4)),x3))))) = multiply(inverse(multiply(inverse(multiply(C,inverse(x3))),inverse(B))),x4),
eq_6 ).
cnf(eq_10,plain,
multiply(multiply(multiply(inverse(x3),x3),inverse(multiply(inverse(multiply(multiply(inverse(B),B),inverse(x3))),multiply(multiply(inverse(B),B),inverse(x102))))),x3) = x102,
inference(cp,[status(thm)],[eq_8,eq_5]) ).
cnf(eq_11,plain,
multiply(inverse(multiply(x100,inverse(x3))),multiply(x100,inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))))) = multiply(inverse(multiply(multiply(inverse(B),B),inverse(x3))),C),
inference(cp,[status(thm)],[eq_8,eq_5]) ).
cnf(eq_12,plain,
multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B)))))) = C,
inference(cp,[status(thm)],[eq_8,eq_0]) ).
cnf(eq_13,plain,
multiply(inverse(multiply(x100,inverse(x101))),multiply(x100,A)) = multiply(inverse(multiply(inverse(multiply(B,inverse(C))),inverse(x101))),multiply(inverse(multiply(B,inverse(C))),A)),
inference(cp,[status(thm)],[eq_0,eq_9]) ).
cnf(eq_14,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(multiply(C,inverse(x3))),multiply(C,inverse(multiply(x4,x3))))))) = multiply(inverse(multiply(multiply(inverse(x3),x3),inverse(B))),x4),
eq_11 ).
cnf(eq_15,plain,
A = multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(C),C),inverse(B))),multiply(multiply(inverse(C),C),inverse(A))))),B),
eq_10 ).
cnf(eq_16,plain,
A = multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(multiply(A,B)))))),
eq_12 ).
cnf(eq_17,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) = multiply(inverse(multiply(inverse(multiply(x3,inverse(x4))),inverse(B))),multiply(inverse(multiply(x3,inverse(x4))),C)),
eq_13 ).
cnf(eq_18,plain,
inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,C)))),B)) = multiply(x3,inverse(multiply(multiply(multiply(inverse(x4),x4),inverse(multiply(inverse(multiply(x3,inverse(x4))),C))),x4))),
inference(cp,[status(thm)],[eq_17,eq_3]) ).
cnf(eq_19,plain,
multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(multiply(C,inverse(x3))),multiply(C,inverse(multiply(multiply(multiply(inverse(x3),x3),inverse(x102)),x3))))))))),B) = x102,
inference(cp,[status(thm)],[eq_14,eq_15]) ).
cnf(eq_20,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) = multiply(inverse(multiply(x104,inverse(B))),multiply(x104,C)),
inference(cp,[status(thm)],[eq_17,eq_17]) ).
cnf(eq_21,plain,
A = inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,A)))),B)),
inference(rw,[status(thm)],[eq_18,eq_0]) ).
cnf(eq_22,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) = multiply(inverse(multiply(x3,inverse(B))),multiply(x3,C)),
eq_20 ).
cnf(eq_23,plain,
A = multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(A))))),B),
inference(rw,[status(thm)],[eq_19,eq_5]) ).
cnf(eq_24,plain,
multiply(inverse(A),multiply(multiply(inverse(B),B),x102)) = multiply(inverse(multiply(x103,inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(multiply(A,B))))))),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_16,eq_22]) ).
cnf(eq_25,plain,
multiply(inverse(multiply(x100,A)),multiply(x100,x102)) = multiply(inverse(multiply(x103,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,A)))),B)))),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_21,eq_22]) ).
cnf(eq_26,plain,
multiply(inverse(A),multiply(multiply(inverse(B),B),C)) = multiply(inverse(multiply(x3,inverse(multiply(inverse(multiply(x4,inverse(B))),multiply(x4,inverse(multiply(A,B))))))),multiply(x3,C)),
eq_24 ).
cnf(eq_27,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(x3,B)),multiply(x3,C)),
inference(rw,[status(thm)],[eq_25,eq_21]) ).
cnf(eq_28,plain,
multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,A)))),x102)) = multiply(inverse(multiply(x103,B)),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_21,eq_27]) ).
cnf(eq_29,plain,
multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,A)))),x3)) = multiply(inverse(multiply(x4,B)),multiply(x4,x3)),
eq_28 ).
cnf(eq_30,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(x104,B)),multiply(x104,B)),
inference(cp,[status(thm)],[eq_23,eq_29]) ).
cnf(eq_31,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,C)),multiply(B,C)),
eq_30 ).
cnf(eq_32,plain,
multiply(inverse(A),A) = multiply(inverse(x103),multiply(multiply(inverse(x102),x102),inverse(multiply(inverse(multiply(x101,inverse(x102))),multiply(x101,inverse(multiply(x103,x102))))))),
inference(cp,[status(thm)],[eq_31,eq_26]) ).
cnf(eq_33,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_32,eq_16]) ).
cnf(eq_34,negated_conjecture,
multiply(inverse(multiply(B,C)),multiply(B,C)) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_31,eq_1]) ).
cnf(eq_35,negated_conjecture,
multiply(inverse(multiply(A,B)),multiply(A,B)) != multiply(inverse(b1),b1),
eq_34 ).
cnf(eq_36,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_33,eq_35]) ).
cnf(eq_37,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(A),A),
eq_36 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP412-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n011.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 04:19:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.37/1.58 % SZS status Unsatisfiable
% 1.37/1.58 % SZS output start CNFRefutation for /tmp/MaedMax_32431
% See solution above
% 1.37/1.58
%------------------------------------------------------------------------------