%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP418-1 : 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 3.50s 3.68s
% Output : CNFRefutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 2
% Syntax : Number of clauses : 37 ( 37 unt; 0 nHn; 6 RR)
% Number of literals : 37 ( 36 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 17 ( 4 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 : 94 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C))),
file('/tmp/MaedMax_9282') ).
cnf(eq_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/tmp/MaedMax_9282') ).
cnf(eq_2,plain,
inverse(multiply(inverse(multiply(x100,inverse(multiply(A,inverse(multiply(x102,inverse(multiply(inverse(x102),x102)))))))),multiply(x100,x102))) = multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C)),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_3,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C))) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)),
eq_2 ).
cnf(eq_4,plain,
A = multiply(inverse(multiply(x103,inverse(multiply(inverse(inverse(A)),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_5,plain,
multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)) = multiply(inverse(multiply(x103,inverse(multiply(inverse(B),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_3,eq_3]) ).
cnf(eq_6,plain,
inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C)))) = B,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_7,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C)) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)),
eq_5 ).
cnf(eq_8,plain,
A = multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C)),
eq_4 ).
cnf(eq_9,plain,
A = inverse(inverse(multiply(inverse(multiply(B,inverse(multiply(A,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C)))),
eq_6 ).
cnf(eq_10,plain,
inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),inverse(multiply(inverse(x101),inverse(multiply(multiply(B,C),inverse(multiply(inverse(multiply(B,C)),multiply(B,C))))))))),A)) = x101,
inference(cp,[status(thm)],[eq_8,eq_0]) ).
cnf(eq_11,plain,
multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),inverse(multiply(inverse(inverse(x101)),inverse(multiply(multiply(B,C),inverse(multiply(inverse(multiply(B,C)),multiply(B,C))))))))),A) = x101,
inference(cp,[status(thm)],[eq_8,eq_8]) ).
cnf(eq_12,plain,
multiply(inverse(multiply(x100,inverse(multiply(A,inverse(multiply(x102,inverse(multiply(inverse(x102),x102)))))))),multiply(x100,x102)) = multiply(inverse(multiply(x103,inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C))),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_13,plain,
multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C)) = multiply(inverse(multiply(x3,inverse(multiply(B,inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)),
inference(rw,[status(thm)],[eq_12,eq_0]) ).
cnf(eq_14,plain,
A = inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(C)),inverse(multiply(x3,inverse(multiply(inverse(x3),x3)))))))),inverse(multiply(inverse(A),inverse(multiply(multiply(B,x3),inverse(multiply(inverse(multiply(B,x3)),multiply(B,x3))))))))),C)),
eq_10 ).
cnf(eq_15,plain,
A = multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(C)),inverse(multiply(x3,inverse(multiply(inverse(x3),x3)))))))),inverse(multiply(inverse(inverse(A)),inverse(multiply(multiply(B,x3),inverse(multiply(inverse(multiply(B,x3)),multiply(B,x3))))))))),C),
eq_11 ).
cnf(eq_16,plain,
inverse(multiply(inverse(multiply(x100,A)),multiply(x100,x102))) = multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(inverse(multiply(x102,inverse(multiply(inverse(x102),x102)))))),inverse(multiply(x3,inverse(multiply(inverse(x3),x3)))))))),inverse(multiply(inverse(A),inverse(multiply(multiply(B,x3),inverse(multiply(inverse(multiply(B,x3)),multiply(B,x3)))))))),
inference(cp,[status(thm)],[eq_14,eq_0]) ).
cnf(eq_17,plain,
inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = multiply(inverse(multiply(x3,inverse(multiply(inverse(inverse(inverse(multiply(C,inverse(multiply(inverse(C),C)))))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),inverse(multiply(inverse(B),inverse(multiply(multiply(x3,x4),inverse(multiply(inverse(multiply(x3,x4)),multiply(x3,x4)))))))),
eq_16 ).
cnf(eq_18,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(multiply(x3,inverse(multiply(inverse(inverse(inverse(multiply(C,inverse(multiply(inverse(C),C)))))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)))) = multiply(inverse(multiply(x103,inverse(multiply(inverse(inverse(B)),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_17,eq_3]) ).
cnf(eq_19,plain,
multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(multiply(x3,inverse(multiply(inverse(inverse(inverse(multiply(C,inverse(multiply(inverse(C),C)))))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4))) = multiply(inverse(multiply(x103,inverse(multiply(inverse(B),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_17,eq_13]) ).
cnf(eq_20,plain,
multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(multiply(x3,inverse(multiply(inverse(inverse(inverse(multiply(C,inverse(multiply(inverse(C),C)))))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4))) = inverse(multiply(inverse(multiply(x103,inverse(multiply(B,inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104))),
inference(cp,[status(thm)],[eq_17,eq_3]) ).
cnf(eq_21,plain,
A = inverse(multiply(inverse(inverse(multiply(inverse(multiply(B,A)),multiply(B,C)))),inverse(multiply(C,inverse(multiply(inverse(C),C)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_8]),eq_8]) ).
cnf(eq_22,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C))) = multiply(inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,x4)))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4))))),
inference(rw,[status(thm)],[eq_20,eq_8]) ).
cnf(eq_23,plain,
multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),inverse(multiply(C,inverse(multiply(inverse(C),C))))) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)),
inference(rw,[status(thm)],[eq_19,eq_8]) ).
cnf(eq_24,plain,
multiply(inverse(multiply(x100,inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C)))))),multiply(x100,x4)) = multiply(inverse(multiply(x103,inverse(multiply(inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,x4)))),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
inference(cp,[status(thm)],[eq_22,eq_13]) ).
cnf(eq_25,plain,
multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(x3,B)),multiply(x3,C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_9]),eq_8]) ).
cnf(eq_26,plain,
multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),inverse(multiply(C,inverse(multiply(inverse(C),C)))))),multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),x102)) = multiply(inverse(multiply(x103,multiply(x3,x4))),multiply(x103,x102)),
inference(cp,[status(thm)],[eq_23,eq_25]) ).
cnf(eq_27,plain,
multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),x3)) = multiply(inverse(multiply(x4,multiply(B,C))),multiply(x4,x3)),
inference(rw,[status(thm)],[eq_26,eq_21]) ).
cnf(eq_28,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(x104,multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(C)),inverse(multiply(x3,inverse(multiply(inverse(x3),x3)))))))),multiply(B,x3)))),multiply(x104,C)),
inference(cp,[status(thm)],[eq_15,eq_27]) ).
cnf(eq_29,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(B,C)),multiply(B,C)),
inference(rw,[status(thm)],[eq_28,eq_8]) ).
cnf(eq_30,plain,
multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,C))),multiply(inverse(A),A)) = multiply(inverse(x102),x102),
inference(cp,[status(thm)],[eq_29,eq_29]) ).
cnf(eq_31,plain,
multiply(inverse(A),A) = multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,C))),multiply(inverse(x3),x3)),
eq_30 ).
cnf(eq_32,negated_conjecture,
multiply(inverse(multiply(B,C)),multiply(B,C)) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_29,eq_1]) ).
cnf(eq_33,negated_conjecture,
multiply(inverse(multiply(A,B)),multiply(A,B)) != multiply(inverse(b1),b1),
eq_32 ).
cnf(eq_34,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(b1),b1),
inference(cp,[status(thm)],[eq_31,eq_33]) ).
cnf(eq_35,negated_conjecture,
multiply(inverse(A),A) != multiply(inverse(A),A),
eq_34 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP418-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.12 % 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 04:24:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.50/3.68 % SZS status Unsatisfiable
% 3.50/3.68 % SZS output start CNFRefutation for /tmp/MaedMax_9282
% See solution above
% 3.50/3.68
%------------------------------------------------------------------------------