TSTP Solution File: GRP410-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP410-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n023.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 6.23s 6.45s
% Output : CNFRefutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 2
% Syntax : Number of clauses : 55 ( 55 unt; 0 nHn; 7 RR)
% Number of literals : 55 ( 54 equ; 6 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 : 127 ( 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_5940') ).
cnf(eq_1,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_5940') ).
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(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(multiply(x101,multiply(inverse(C),C))))),A),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))) = x101,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,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_5,plain,
A = multiply(multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(C,x3)))),multiply(B,inverse(x3))),inverse(multiply(A,multiply(inverse(x3),x3))))),C),inverse(multiply(inverse(multiply(inverse(x3),x3)),multiply(inverse(x3),x3)))),
eq_3 ).
cnf(eq_6,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_4]) ).
cnf(eq_7,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_4,eq_4]) ).
cnf(eq_8,plain,
multiply(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))))),inverse(multiply(inverse(C),C))) = B,
inference(cp,[status(thm)],[eq_4,eq_0]) ).
cnf(eq_9,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_7 ).
cnf(eq_10,plain,
A = multiply(inverse(multiply(B,inverse(multiply(multiply(A,inverse(multiply(inverse(C),C))),C)))),multiply(B,inverse(C))),
eq_6 ).
cnf(eq_11,plain,
A = multiply(multiply(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_8 ).
cnf(eq_12,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_10]) ).
cnf(eq_13,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_10,eq_9]) ).
cnf(eq_14,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_13,eq_10]) ).
cnf(eq_15,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_12 ).
cnf(eq_16,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_14]) ).
cnf(eq_17,plain,
multiply(inverse(multiply(x100,inverse(x101))),multiply(x100,inverse(A))) = multiply(inverse(multiply(x104,inverse(x101))),multiply(x104,inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(C,x3)))),multiply(B,inverse(x3))),inverse(multiply(A,multiply(inverse(x3),x3))))),C),inverse(multiply(inverse(multiply(inverse(x3),x3)),multiply(inverse(x3),x3))))))),
inference(cp,[status(thm)],[eq_5,eq_14]) ).
cnf(eq_18,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_17,eq_5]) ).
cnf(eq_19,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_16 ).
cnf(eq_20,plain,
multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(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_18]) ).
cnf(eq_21,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_19]) ).
cnf(eq_22,plain,
multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(C),C)))) = multiply(inverse(multiply(multiply(inverse(multiply(x3,inverse(multiply(x4,C)))),multiply(x3,inverse(C))),inverse(B))),x4),
eq_20 ).
cnf(eq_23,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_21 ).
cnf(eq_24,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_15,eq_23]) ).
cnf(eq_25,plain,
multiply(inverse(A),A) = multiply(inverse(B),B),
inference(rw,[status(thm)],[eq_24,eq_15]) ).
cnf(eq_26,negated_conjecture,
multiply(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(C)),inverse(C))))),multiply(B,inverse(multiply(inverse(inverse(C)),inverse(C))))),a2) != a2,
inference(cp,[status(thm)],[eq_23,eq_1]) ).
cnf(eq_27,negated_conjecture,
multiply(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(B)),inverse(B))))),multiply(A,inverse(multiply(inverse(inverse(B)),inverse(B))))),a2) != a2,
eq_26 ).
cnf(eq_28,plain,
multiply(multiply(inverse(multiply(x100,inverse(multiply(x101,B)))),multiply(x100,inverse(B))),inverse(multiply(inverse(A),A))) = x101,
inference(cp,[status(thm)],[eq_25,eq_0]) ).
cnf(eq_29,plain,
multiply(inverse(multiply(x100,inverse(multiply(multiply(x101,inverse(multiply(inverse(A),A))),B)))),multiply(x100,inverse(B))) = x101,
inference(cp,[status(thm)],[eq_25,eq_10]) ).
cnf(eq_30,plain,
multiply(inverse(multiply(inverse(inverse(x102)),inverse(multiply(multiply(x101,inverse(multiply(inverse(x102),x102))),x102)))),multiply(inverse(A),A)) = x101,
inference(cp,[status(thm)],[eq_25,eq_10]) ).
cnf(eq_31,plain,
A = multiply(inverse(multiply(B,inverse(multiply(multiply(A,inverse(multiply(inverse(C),C))),x3)))),multiply(B,inverse(x3))),
eq_29 ).
cnf(eq_32,plain,
A = multiply(inverse(multiply(inverse(inverse(B)),inverse(multiply(multiply(A,inverse(multiply(inverse(B),B))),B)))),multiply(inverse(C),C)),
eq_30 ).
cnf(eq_33,plain,
A = multiply(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(multiply(inverse(x3),x3))),
eq_28 ).
cnf(eq_34,negated_conjecture,
multiply(multiply(inverse(A),A),a2) != a2,
inference(cp,[status(thm)],[eq_25,eq_27]) ).
cnf(eq_35,plain,
multiply(multiply(inverse(multiply(x100,inverse(multiply(inverse(A),A)))),multiply(x100,inverse(B))),inverse(multiply(inverse(x103),x103))) = inverse(B),
inference(cp,[status(thm)],[eq_25,eq_33]) ).
cnf(eq_36,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(x104,inverse(multiply(inverse(x3),x3)))),multiply(x104,inverse(multiply(inverse(C),C)))),
inference(cp,[status(thm)],[eq_33,eq_22]) ).
cnf(eq_37,plain,
multiply(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(C))),inverse(multiply(inverse(x3),x3))) = inverse(C),
eq_35 ).
cnf(eq_38,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(x3),x3)))),
eq_36 ).
cnf(eq_39,plain,
multiply(multiply(inverse(A),A),inverse(multiply(inverse(x103),x103))) = inverse(multiply(inverse(x3),x3)),
inference(cp,[status(thm)],[eq_38,eq_33]) ).
cnf(eq_40,plain,
multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),B))) = inverse(multiply(inverse(C),C)),
eq_39 ).
cnf(eq_41,plain,
multiply(inverse(multiply(inverse(C),C)),inverse(multiply(inverse(x102),x102))) = inverse(multiply(inverse(x102),x102)),
inference(cp,[status(thm)],[eq_40,eq_11]) ).
cnf(eq_42,plain,
multiply(inverse(multiply(x100,inverse(multiply(inverse(multiply(inverse(C),C)),x103)))),multiply(x100,inverse(x103))) = multiply(inverse(A),A),
inference(cp,[status(thm)],[eq_40,eq_31]) ).
cnf(eq_43,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(C),C)),x3)))),multiply(B,inverse(x3))),
eq_42 ).
cnf(eq_44,plain,
multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),B))) = inverse(multiply(inverse(B),B)),
eq_41 ).
cnf(eq_45,plain,
multiply(inverse(multiply(inverse(inverse(B)),inverse(multiply(inverse(multiply(inverse(B),B)),B)))),multiply(inverse(x102),x102)) = inverse(multiply(inverse(A),A)),
inference(cp,[status(thm)],[eq_44,eq_32]) ).
cnf(eq_46,plain,
multiply(inverse(multiply(inverse(inverse(A)),inverse(multiply(inverse(multiply(inverse(A),A)),A)))),multiply(inverse(B),B)) = inverse(multiply(inverse(C),C)),
eq_45 ).
cnf(eq_47,plain,
multiply(multiply(inverse(multiply(x100,inverse(multiply(inverse(A),A)))),multiply(x100,inverse(multiply(B,inverse(x3))))),inverse(multiply(inverse(x103),x103))) = inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(C),C)),x3)))),
inference(cp,[status(thm)],[eq_43,eq_33]) ).
cnf(eq_48,plain,
inverse(multiply(A,inverse(B))) = inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(C),C)),B)))),
inference(rw,[status(thm)],[eq_47,eq_37]) ).
cnf(eq_49,plain,
multiply(multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(x102),x102))))),inverse(multiply(inverse(inverse(multiply(inverse(x102),x102))),inverse(multiply(inverse(x102),x102))))),inverse(multiply(inverse(x102),x102))) = multiply(inverse(multiply(inverse(C),C)),B),
inference(cp,[status(thm)],[eq_48,eq_11]) ).
cnf(eq_50,plain,
A = multiply(inverse(multiply(inverse(B),B)),A),
inference(rw,[status(thm)],[eq_49,eq_11]) ).
cnf(eq_51,plain,
multiply(inverse(A),A) = inverse(multiply(inverse(B),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_50]),eq_50]) ).
cnf(eq_52,negated_conjecture,
multiply(inverse(multiply(inverse(B),B)),a2) != a2,
inference(cp,[status(thm)],[eq_51,eq_34]) ).
cnf(eq_53,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[eq_52,eq_50]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP410-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n023.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 04:29:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.23/6.45 % SZS status Unsatisfiable
% 6.23/6.45 % SZS output start CNFRefutation for /tmp/MaedMax_5940
% See solution above
% 6.23/6.45
%------------------------------------------------------------------------------