TSTP Solution File: GRP415-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP415-1 : 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 07:02:42 EDT 2022
% Result : Unsatisfiable 1.31s 1.50s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of clauses : 33 ( 33 unt; 0 nHn; 6 RR)
% Number of literals : 33 ( 32 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,inverse(A)))),inverse(multiply(inverse(B),B)))))),
file('/tmp/MaedMax_12604') ).
cnf(eq_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_12604') ).
cnf(eq_2,plain,
inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(x101,x100)),multiply(x101,A))),inverse(multiply(inverse(x100),x100)))))) = multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,inverse(A)))),inverse(multiply(inverse(B),B))))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A))))) = inverse(multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,C))),inverse(multiply(inverse(x3),x3)))))),
eq_2 ).
cnf(eq_4,plain,
multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(inverse(x102))))),inverse(multiply(inverse(A),A))))) = x102,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_5,plain,
inverse(inverse(multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,C))),inverse(multiply(inverse(x3),x3))))))) = C,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_6,plain,
A = multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,inverse(inverse(A))))),inverse(multiply(inverse(B),B))))),
eq_4 ).
cnf(eq_7,plain,
A = inverse(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,A))),inverse(multiply(inverse(B),B))))))),
eq_5 ).
cnf(eq_8,plain,
inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(B,x100)),A)),inverse(multiply(inverse(x100),x100)))))) = multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,inverse(inverse(A))))),inverse(multiply(inverse(B),B))),
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_9,plain,
inverse(inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(B,x100)),A)),inverse(multiply(inverse(x100),x100))))))) = inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,inverse(inverse(A))))),inverse(multiply(inverse(B),B)))),
inference(cp,[status(thm)],[eq_6,eq_7]) ).
cnf(eq_10,plain,
multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(B),B))) = inverse(multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(B,x3)),C)),inverse(multiply(inverse(x3),x3)))))),
eq_8 ).
cnf(eq_11,plain,
inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(B),B)))) = inverse(inverse(multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(B,x3)),C)),inverse(multiply(inverse(x3),x3))))))),
eq_9 ).
cnf(eq_12,plain,
multiply(B,inverse(inverse(multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(B,x3)),C)),inverse(multiply(inverse(x3),x3)))))))) = C,
inference(cp,[status(thm)],[eq_11,eq_6]) ).
cnf(eq_13,plain,
A = multiply(inverse(multiply(inverse(multiply(x103,C)),multiply(x103,inverse(inverse(multiply(C,inverse(A))))))),inverse(multiply(inverse(C),C))),
inference(cp,[status(thm)],[eq_0,eq_10]) ).
cnf(eq_14,plain,
A = multiply(B,inverse(inverse(multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),A)),inverse(multiply(inverse(C),C)))))))),
eq_12 ).
cnf(eq_15,plain,
A = multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(A))))))),inverse(multiply(inverse(C),C))),
eq_13 ).
cnf(eq_16,plain,
multiply(x100,inverse(inverse(multiply(x101,inverse(multiply(inverse(A),inverse(multiply(inverse(x101),x101)))))))) = inverse(inverse(multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(x100,x101)),C)),A)),inverse(multiply(inverse(C),C))))))),
inference(cp,[status(thm)],[eq_14,eq_14]) ).
cnf(eq_17,plain,
inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(A))))))),x100)),A)),inverse(multiply(inverse(x100),x100)))))) = multiply(inverse(C),C),
inference(cp,[status(thm)],[eq_15,eq_0]) ).
cnf(eq_18,plain,
multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(C),inverse(multiply(inverse(B),B)))))))) = inverse(inverse(multiply(x3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),x3)),C)),inverse(multiply(inverse(x3),x3))))))),
eq_16 ).
cnf(eq_19,plain,
multiply(inverse(A),A) = inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,A)),multiply(C,inverse(inverse(multiply(A,inverse(x3))))))),B)),x3)),inverse(multiply(inverse(B),B)))))),
eq_17 ).
cnf(eq_20,plain,
inverse(multiply(inverse(multiply(inverse(C),C)),inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))) = multiply(inverse(C),C),
inference(cp,[status(thm)],[eq_15,eq_19]) ).
cnf(eq_21,plain,
multiply(inverse(A),A) = inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))),
eq_20 ).
cnf(eq_22,plain,
multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(C),inverse(multiply(inverse(B),B))))))))) = C,
inference(cp,[status(thm)],[eq_18,eq_14]) ).
cnf(eq_23,plain,
A = multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(multiply(inverse(A),inverse(multiply(inverse(C),C))))))))),
eq_22 ).
cnf(eq_24,plain,
multiply(inverse(multiply(x100,inverse(multiply(inverse(A),A)))),multiply(x100,inverse(multiply(inverse(A),A)))) = multiply(inverse(B),B),
inference(cp,[status(thm)],[eq_21,eq_23]) ).
cnf(eq_25,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C)))),
eq_24 ).
cnf(eq_26,plain,
multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(A))))))),inverse(multiply(inverse(C),C)))) = multiply(inverse(x102),x102),
inference(cp,[status(thm)],[eq_15,eq_25]) ).
cnf(eq_27,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_26,eq_15]) ).
cnf(eq_28,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_25,eq_1]) ).
cnf(eq_29,negated_conjecture,
multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(B),B)))) != multiply(inverse(b1),b1),
eq_28 ).
cnf(eq_30,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_27,eq_29]) ).
cnf(eq_31,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(A),A),
eq_30 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP415-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % 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 04:18:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.31/1.50 % SZS status Unsatisfiable
% 1.31/1.50 % SZS output start CNFRefutation for /tmp/MaedMax_12604
% See solution above
% 1.31/1.50
%------------------------------------------------------------------------------