%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP479-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n010.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 07:02:48 EDT 2022
% Result : Unsatisfiable 2.74s 2.94s
% Output : CNFRefutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of clauses : 54 ( 54 unt; 0 nHn; 3 RR)
% Number of literals : 54 ( 53 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 166 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(inverse(divide(divide(divide(B,B),C),divide(A,divide(C,D)))),D),
file('/tmp/MaedMax_29621') ).
cnf(eq_1,axiom,
divide(A,inverse(B)) = multiply(A,B),
file('/tmp/MaedMax_29621') ).
cnf(eq_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/tmp/MaedMax_29621') ).
cnf(eq_3,plain,
divide(inverse(divide(divide(divide(x100,x100),x101),A)),x103) = inverse(divide(divide(divide(B,B),C),divide(A,divide(C,divide(x101,x103))))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_4,plain,
divide(inverse(divide(divide(divide(x100,x100),inverse(divide(divide(divide(B,B),C),divide(A,divide(C,D))))),divide(x102,A))),D) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_5,plain,
A = divide(inverse(divide(multiply(divide(B,B),divide(divide(divide(C,C),D),divide(x4,divide(D,x5)))),divide(A,x4))),x5),
inference(rw,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_6,plain,
divide(inverse(divide(divide(divide(A,A),B),C)),D) = inverse(divide(divide(divide(x4,x4),x5),divide(C,divide(x5,divide(B,D))))),
eq_3 ).
cnf(eq_7,plain,
A = divide(inverse(divide(divide(divide(B,B),inverse(divide(divide(divide(C,C),D),divide(x4,divide(D,x5))))),divide(A,x4))),x5),
inference(rw,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_8,plain,
inverse(divide(divide(divide(x4,x4),x5),divide(divide(x102,divide(B,D)),divide(x5,divide(B,D))))) = x102,
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_9,plain,
divide(divide(inverse(divide(divide(divide(A,A),B),C)),D),divide(B,D)) = C,
inference(cp,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_10,plain,
divide(divide(inverse(divide(divide(divide(A,A),B),C)),D),x103) = inverse(divide(divide(divide(x104,x104),x105),divide(divide(C,divide(x5,divide(B,D))),divide(x105,divide(x5,x103))))),
inference(cp,[status(thm)],[eq_6,eq_6]) ).
cnf(eq_11,plain,
divide(divide(inverse(divide(divide(divide(A,A),B),C)),D),x4) = inverse(divide(divide(divide(x5,x5),x6),divide(divide(C,divide(x7,divide(B,D))),divide(x6,divide(x7,x4))))),
eq_10 ).
cnf(eq_12,plain,
A = inverse(divide(divide(divide(B,B),C),divide(divide(A,divide(D,x4)),divide(C,divide(D,x4))))),
eq_8 ).
cnf(eq_13,plain,
A = divide(divide(inverse(divide(divide(divide(B,B),C),A)),D),divide(C,D)),
eq_9 ).
cnf(eq_14,plain,
divide(divide(A,x103),divide(C,x103)) = divide(divide(A,divide(D,x4)),divide(C,divide(D,x4))),
inference(cp,[status(thm)],[eq_12,eq_13]) ).
cnf(eq_15,plain,
divide(divide(inverse(divide(A,x102)),x103),divide(divide(C,inverse(divide(divide(divide(B,B),C),A))),x103)) = x102,
inference(cp,[status(thm)],[eq_13,eq_13]) ).
cnf(eq_16,plain,
divide(divide(divide(inverse(divide(divide(divide(A,A),B),C)),D),x4),divide(x7,x4)) = divide(C,divide(x7,divide(B,D))),
inference(cp,[status(thm)],[eq_11,eq_0]) ).
cnf(eq_17,plain,
divide(A,divide(B,divide(C,D))) = divide(divide(divide(inverse(divide(divide(divide(x4,x4),C),A)),D),x5),divide(B,x5)),
eq_16 ).
cnf(eq_18,plain,
A = divide(divide(inverse(divide(B,A)),C),divide(divide(D,inverse(divide(divide(divide(x4,x4),D),B))),C)),
eq_15 ).
cnf(eq_19,plain,
divide(divide(A,B),divide(C,B)) = divide(divide(A,divide(D,x4)),divide(C,divide(D,x4))),
eq_14 ).
cnf(eq_20,plain,
divide(divide(A,B),divide(C,B)) = divide(divide(divide(inverse(divide(divide(divide(x104,x104),D),divide(A,divide(D,x4)))),x4),x105),divide(C,x105)),
inference(cp,[status(thm)],[eq_19,eq_17]) ).
cnf(eq_21,plain,
divide(divide(A,B),divide(C,B)) = divide(divide(A,D),divide(C,D)),
inference(rw,[status(thm)],[eq_20,eq_0]) ).
cnf(eq_22,plain,
divide(divide(inverse(divide(divide(divide(x100,x100),B),divide(C,B))),x103),divide(D,x103)) = divide(C,D),
inference(cp,[status(thm)],[eq_21,eq_13]) ).
cnf(eq_23,plain,
divide(divide(inverse(divide(divide(divide(D,B),divide(C,B)),x102)),x103),divide(divide(C,D),x103)) = x102,
inference(cp,[status(thm)],[eq_21,eq_13]) ).
cnf(eq_24,plain,
divide(A,B) = divide(divide(inverse(divide(divide(divide(C,C),D),divide(A,D))),x4),divide(B,x4)),
eq_22 ).
cnf(eq_25,plain,
A = divide(divide(inverse(divide(divide(divide(B,C),divide(D,C)),A)),x4),divide(divide(D,B),x4)),
eq_23 ).
cnf(eq_26,plain,
divide(A,divide(x103,inverse(divide(divide(divide(x104,x104),x103),divide(divide(C,C),D))))) = divide(A,D),
inference(cp,[status(thm)],[eq_24,eq_18]) ).
cnf(eq_27,plain,
divide(A,B) = divide(A,divide(C,inverse(divide(divide(divide(D,D),C),divide(divide(x4,x4),B))))),
eq_26 ).
cnf(eq_28,plain,
divide(x100,divide(D,inverse(divide(divide(divide(x102,x102),B),divide(divide(x103,x103),B))))) = divide(x100,D),
inference(cp,[status(thm)],[eq_21,eq_27]) ).
cnf(eq_29,plain,
divide(divide(inverse(divide(divide(divide(x100,x101),divide(x102,x101)),B)),x104),divide(divide(x102,x100),x104)) = divide(C,inverse(divide(divide(divide(D,D),C),divide(divide(x4,x4),B)))),
inference(cp,[status(thm)],[eq_27,eq_25]) ).
cnf(eq_30,plain,
A = divide(B,inverse(divide(divide(divide(C,C),B),divide(divide(D,D),A)))),
inference(rw,[status(thm)],[eq_29,eq_25]) ).
cnf(eq_31,plain,
divide(A,B) = divide(A,divide(B,inverse(divide(divide(divide(C,C),D),divide(divide(x4,x4),D))))),
eq_28 ).
cnf(eq_32,plain,
A = multiply(B,divide(divide(divide(C,C),B),divide(divide(D,D),A))),
inference(rw,[status(thm)],[eq_30,eq_1]) ).
cnf(eq_33,plain,
divide(x100,A) = divide(x100,inverse(divide(divide(divide(B,B),C),divide(A,divide(C,inverse(divide(divide(divide(x102,x102),x103),divide(divide(x104,x104),x103)))))))),
inference(cp,[status(thm)],[eq_0,eq_31]) ).
cnf(eq_34,plain,
divide(D,inverse(divide(divide(divide(x101,x101),B),divide(divide(x102,x102),B)))) = D,
inference(cp,[status(thm)],[eq_21,eq_30]) ).
cnf(eq_35,plain,
divide(x100,inverse(divide(divide(divide(x101,x101),x100),divide(divide(D,B),divide(C,B))))) = divide(C,D),
inference(cp,[status(thm)],[eq_21,eq_30]) ).
cnf(eq_36,plain,
divide(inverse(divide(divide(divide(x100,x100),x104),divide(x105,divide(D,D)))),x104) = x105,
inference(cp,[status(thm)],[eq_30,eq_7]) ).
cnf(eq_37,plain,
divide(A,B) = divide(A,inverse(divide(divide(divide(C,C),D),divide(B,D)))),
inference(rw,[status(thm)],[eq_33,eq_31]) ).
cnf(eq_38,plain,
divide(A,B) = divide(C,inverse(divide(divide(divide(D,D),C),divide(divide(B,x4),divide(A,x4))))),
eq_35 ).
cnf(eq_39,plain,
A = divide(A,inverse(divide(divide(divide(B,B),C),divide(divide(D,D),C)))),
eq_34 ).
cnf(eq_40,plain,
A = divide(inverse(divide(divide(divide(B,B),C),divide(A,divide(D,D)))),C),
eq_36 ).
cnf(eq_41,plain,
A = divide(A,divide(B,B)),
inference(rw,[status(thm)],[eq_39,eq_37]) ).
cnf(eq_42,plain,
divide(A,B) = divide(divide(A,x4),divide(B,x4)),
inference(cp,[status(thm)],[eq_38,eq_37]) ).
cnf(eq_43,plain,
divide(A,divide(divide(x103,inverse(divide(divide(divide(x104,x104),x103),divide(divide(B,B),C)))),C)) = divide(A,divide(D,D)),
inference(cp,[status(thm)],[eq_40,eq_18]) ).
cnf(eq_44,plain,
divide(A,B) = divide(divide(A,C),divide(B,C)),
eq_42 ).
cnf(eq_45,plain,
divide(A,divide(B,B)) = divide(A,divide(C,C)),
inference(rw,[status(thm)],[eq_43,eq_30]) ).
cnf(eq_46,plain,
multiply(x100,divide(divide(divide(x101,x101),x100),divide(divide(x102,x102),divide(B,B)))) = divide(C,C),
inference(cp,[status(thm)],[eq_45,eq_32]) ).
cnf(eq_47,plain,
divide(A,A) = divide(B,B),
inference(rw,[status(thm)],[eq_46,eq_32]) ).
cnf(eq_48,plain,
divide(divide(B,B),divide(x102,A)) = divide(A,x102),
inference(cp,[status(thm)],[eq_47,eq_44]) ).
cnf(eq_49,plain,
divide(A,B) = divide(divide(C,C),divide(B,A)),
eq_48 ).
cnf(eq_50,plain,
divide(divide(x101,x101),inverse(divide(A,divide(x102,x102)))) = A,
inference(cp,[status(thm)],[eq_49,eq_30]) ).
cnf(eq_51,plain,
A = divide(divide(B,B),inverse(A)),
inference(rw,[status(thm)],[eq_50,eq_41]) ).
cnf(eq_52,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]),eq_51]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP479-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n010.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 04:13:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.74/2.94 % SZS status Unsatisfiable
% 2.74/2.94 % SZS output start CNFRefutation for /tmp/MaedMax_29621
% See solution above
% 2.74/2.94
%------------------------------------------------------------------------------