%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP547-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n015.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 07:02:54 EDT 2022
% Result : Unsatisfiable 0.53s 0.71s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of clauses : 55 ( 55 unt; 0 nHn; 15 RR)
% Number of literals : 55 ( 54 equ; 10 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 86 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(identity,divide(B,C)),divide(divide(C,A),B)),
file('/tmp/MaedMax_24605') ).
cnf(eq_1,axiom,
divide(A,divide(identity,B)) = multiply(A,B),
file('/tmp/MaedMax_24605') ).
cnf(eq_2,axiom,
divide(identity,A) = inverse(A),
file('/tmp/MaedMax_24605') ).
cnf(eq_3,axiom,
identity = divide(A,A),
file('/tmp/MaedMax_24605') ).
cnf(eq_4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_24605') ).
cnf(eq_5,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_6,negated_conjecture,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_7,plain,
divide(divide(identity,A),divide(divide(divide(divide(C,A),B),x102),divide(identity,divide(B,C)))) = x102,
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_8,plain,
divide(divide(identity,identity),divide(divide(A,x102),A)) = x102,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_9,plain,
divide(divide(identity,divide(divide(divide(C,A),B),identity)),A) = divide(B,C),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_10,plain,
divide(divide(identity,divide(divide(x101,x102),x101)),identity) = x102,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_11,plain,
divide(divide(identity,divide(x100,divide(identity,divide(B,C)))),divide(A,x100)) = divide(divide(C,A),B),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_12,plain,
divide(divide(identity,divide(x100,A)),divide(identity,x100)) = A,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_13,plain,
divide(A,B) = divide(divide(identity,divide(divide(divide(B,C),A),identity)),C),
eq_9 ).
cnf(eq_14,plain,
divide(divide(A,B),C) = divide(divide(identity,divide(x3,divide(identity,divide(C,A)))),divide(B,x3)),
eq_11 ).
cnf(eq_15,plain,
A = divide(divide(identity,divide(B,A)),divide(identity,B)),
eq_12 ).
cnf(eq_16,plain,
A = divide(divide(identity,divide(divide(B,A),B)),identity),
eq_10 ).
cnf(eq_17,plain,
A = divide(divide(identity,B),divide(divide(divide(divide(C,B),x3),A),divide(identity,divide(x3,C)))),
eq_7 ).
cnf(eq_18,plain,
A = divide(identity,divide(divide(B,A),B)),
inference(rw,[status(thm)],[eq_8,eq_3]) ).
cnf(eq_19,plain,
A = divide(A,identity),
inference(rw,[status(thm)],[eq_16,eq_18]) ).
cnf(eq_20,plain,
divide(identity,divide(identity,A)) = A,
inference(cp,[status(thm)],[eq_3,eq_18]) ).
cnf(eq_21,plain,
divide(divide(identity,x100),divide(divide(identity,x103),divide(identity,divide(divide(x101,x100),x101)))) = x103,
inference(cp,[status(thm)],[eq_3,eq_17]) ).
cnf(eq_22,plain,
divide(A,divide(divide(B,x102),divide(B,A))) = x102,
inference(cp,[status(thm)],[eq_18,eq_0]) ).
cnf(eq_23,plain,
divide(identity,divide(x101,x102)) = divide(divide(x102,identity),x101),
inference(cp,[status(thm)],[eq_15,eq_14]) ).
cnf(eq_24,plain,
divide(divide(identity,divide(identity,identity)),x101) = divide(divide(x100,x101),x100),
inference(cp,[status(thm)],[eq_3,eq_13]) ).
cnf(eq_25,plain,
A = divide(B,divide(divide(C,A),divide(C,B))),
eq_22 ).
cnf(eq_26,plain,
divide(identity,A) = divide(divide(B,A),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_3]),eq_3]) ).
cnf(eq_27,plain,
divide(identity,divide(A,B)) = divide(divide(B,identity),A),
eq_23 ).
cnf(eq_28,plain,
A = divide(divide(identity,B),divide(divide(identity,A),B)),
inference(rw,[status(thm)],[eq_21,eq_18]) ).
cnf(eq_29,plain,
divide(A,divide(divide(A,x102),identity)) = x102,
inference(cp,[status(thm)],[eq_20,eq_0]) ).
cnf(eq_30,plain,
divide(divide(C,divide(divide(C,A),x102)),A) = x102,
inference(cp,[status(thm)],[eq_25,eq_25]) ).
cnf(eq_31,plain,
divide(A,divide(identity,B)) = divide(identity,divide(divide(identity,A),B)),
inference(cp,[status(thm)],[eq_28,eq_26]) ).
cnf(eq_32,plain,
divide(A,B) = divide(identity,divide(divide(C,A),divide(C,B))),
inference(cp,[status(thm)],[eq_25,eq_26]) ).
cnf(eq_33,plain,
divide(A,x101) = divide(identity,divide(x101,A)),
inference(cp,[status(thm)],[eq_19,eq_27]) ).
cnf(eq_34,plain,
A = divide(divide(B,divide(divide(B,C),A)),C),
eq_30 ).
cnf(eq_35,plain,
divide(A,B) = divide(identity,divide(B,A)),
eq_33 ).
cnf(eq_36,negated_conjecture,
divide(a3,divide(identity,divide(b3,divide(divide(B,c3),B)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
inference(cp,[status(thm)],[eq_26,eq_6]) ).
cnf(eq_37,negated_conjecture,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(divide(A,c3),A)))),
eq_36 ).
cnf(eq_38,plain,
divide(divide(A,B),A) = inverse(B),
inference(rw,[status(thm)],[eq_26,eq_2]) ).
cnf(eq_39,plain,
divide(A,B) = inverse(divide(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_2]),eq_19]) ).
cnf(eq_40,plain,
A = divide(B,divide(B,A)),
inference(rw,[status(thm)],[eq_29,eq_19]) ).
cnf(eq_41,plain,
multiply(A,B) = multiply(B,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_1]),eq_35]),eq_1]) ).
cnf(eq_42,plain,
divide(A,B) = divide(divide(C,B),divide(C,A)),
inference(rw,[status(thm)],[eq_32,eq_35]) ).
cnf(eq_43,plain,
divide(A,inverse(B)) = divide(B,inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_5]),eq_5]) ).
cnf(eq_44,negated_conjecture,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_2]),eq_2]),eq_38]),eq_2]),eq_39]) ).
cnf(eq_45,plain,
divide(divide(x100,A),x101) = divide(divide(x100,x101),A),
inference(cp,[status(thm)],[eq_40,eq_34]) ).
cnf(eq_46,plain,
divide(A,divide(B,x102)) = divide(x102,divide(B,A)),
inference(cp,[status(thm)],[eq_40,eq_42]) ).
cnf(eq_47,plain,
divide(divide(A,B),C) = divide(divide(A,C),B),
eq_45 ).
cnf(eq_48,plain,
divide(A,divide(B,C)) = divide(C,divide(B,A)),
eq_46 ).
cnf(eq_49,negated_conjecture,
divide(c3,inverse(divide(a3,inverse(b3)))) != divide(a3,divide(inverse(c3),b3)),
inference(cp,[status(thm)],[eq_43,eq_44]) ).
cnf(eq_50,negated_conjecture,
divide(a3,divide(inverse(c3),b3)) != divide(c3,divide(inverse(b3),a3)),
inference(rw,[status(thm)],[eq_49,eq_39]) ).
cnf(eq_51,negated_conjecture,
divide(a3,divide(divide(identity,c3),b3)) != divide(c3,divide(divide(identity,b3),a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_2]),eq_2]) ).
cnf(eq_52,negated_conjecture,
divide(a3,divide(divide(identity,b3),c3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(cp,[status(thm)],[eq_48,eq_51]) ).
cnf(eq_53,negated_conjecture,
divide(a3,divide(divide(identity,c3),b3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(cp,[status(thm)],[eq_47,eq_52]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP547-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n015.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 04:22:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.53/0.71 % SZS status Unsatisfiable
% 0.53/0.71 % SZS output start CNFRefutation for /tmp/MaedMax_24605
% See solution above
% 0.53/0.71
%------------------------------------------------------------------------------