%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP543-1 : 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 07:02:54 EDT 2022
% Result : Unsatisfiable 0.62s 0.83s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of clauses : 47 ( 47 unt; 0 nHn; 13 RR)
% Number of literals : 47 ( 46 equ; 6 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(identity,divide(divide(divide(B,A),C),B)),C),
file('/tmp/MaedMax_8629') ).
cnf(eq_1,axiom,
divide(A,divide(identity,B)) = multiply(A,B),
file('/tmp/MaedMax_8629') ).
cnf(eq_2,axiom,
divide(identity,A) = inverse(A),
file('/tmp/MaedMax_8629') ).
cnf(eq_3,axiom,
identity = divide(A,A),
file('/tmp/MaedMax_8629') ).
cnf(eq_4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/tmp/MaedMax_8629') ).
cnf(eq_5,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_6,plain,
inverse(identity) = identity,
inference(cp,[status(thm)],[eq_2,eq_3]) ).
cnf(eq_7,plain,
divide(divide(identity,divide(A,identity)),C) = divide(divide(divide(B,A),C),B),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_8,plain,
divide(divide(identity,divide(identity,x100)),divide(x100,x101)) = x101,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_9,plain,
divide(divide(identity,divide(divide(identity,x102),A)),x102) = A,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_10,plain,
A = divide(divide(identity,divide(divide(identity,B),A)),B),
eq_9 ).
cnf(eq_11,plain,
divide(divide(identity,divide(A,identity)),B) = divide(divide(divide(C,A),B),C),
eq_7 ).
cnf(eq_12,plain,
A = divide(divide(identity,divide(identity,B)),divide(B,A)),
eq_8 ).
cnf(eq_13,plain,
A = divide(multiply(identity,B),divide(B,A)),
inference(rw,[status(thm)],[eq_12,eq_1]) ).
cnf(eq_14,plain,
divide(x100,identity) = multiply(x100,identity),
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_15,plain,
divide(divide(identity,divide(identity,x101)),identity) = x101,
inference(cp,[status(thm)],[eq_3,eq_10]) ).
cnf(eq_16,plain,
divide(identity,x100) = divide(divide(identity,divide(x101,identity)),divide(x100,x101)),
inference(cp,[status(thm)],[eq_3,eq_11]) ).
cnf(eq_17,plain,
divide(divide(identity,x102),A) = divide(divide(identity,divide(A,identity)),x102),
inference(cp,[status(thm)],[eq_3,eq_11]) ).
cnf(eq_18,plain,
A = divide(multiply(identity,A),identity),
inference(rw,[status(thm)],[eq_15,eq_1]) ).
cnf(eq_19,plain,
divide(divide(identity,A),B) = divide(divide(identity,divide(B,identity)),A),
eq_17 ).
cnf(eq_20,plain,
divide(A,identity) = multiply(A,identity),
eq_14 ).
cnf(eq_21,plain,
divide(identity,A) = divide(divide(identity,divide(B,identity)),divide(A,B)),
eq_16 ).
cnf(eq_22,plain,
divide(inverse(A),B) = divide(inverse(divide(B,identity)),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_2]),eq_2]) ).
cnf(eq_23,plain,
A = divide(inverse(inverse(B)),divide(B,A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_2]),eq_2]) ).
cnf(eq_24,plain,
divide(inverse(divide(A,identity)),divide(B,A)) = inverse(B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_2]),eq_2]) ).
cnf(eq_25,plain,
divide(divide(identity,identity),divide(identity,x101)) = x101,
inference(cp,[status(thm)],[eq_20,eq_13]) ).
cnf(eq_26,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_2]),eq_2]),eq_6]),eq_2]) ).
cnf(eq_27,plain,
A = divide(B,divide(B,A)),
inference(rw,[status(thm)],[eq_23,eq_26]) ).
cnf(eq_28,plain,
A = divide(A,identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_5]),eq_2]),eq_26]) ).
cnf(eq_29,plain,
divide(divide(A,x102),A) = divide(divide(identity,divide(identity,identity)),x102),
inference(cp,[status(thm)],[eq_28,eq_11]) ).
cnf(eq_30,plain,
divide(inverse(divide(inverse(divide(identity,identity)),A)),divide(x101,inverse(A))) = inverse(x101),
inference(cp,[status(thm)],[eq_22,eq_24]) ).
cnf(eq_31,plain,
divide(A,multiply(B,A)) = inverse(B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_2]),eq_5]),eq_6]),eq_6]),eq_2]),eq_26]) ).
cnf(eq_32,plain,
divide(divide(A,B),A) = inverse(B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_2]),eq_6]),eq_2]),eq_6]),eq_2]) ).
cnf(eq_33,plain,
divide(divide(A,B),inverse(B)) = A,
inference(cp,[status(thm)],[eq_32,eq_27]) ).
cnf(eq_34,plain,
divide(A,inverse(B)) = multiply(B,A),
inference(cp,[status(thm)],[eq_31,eq_27]) ).
cnf(eq_35,plain,
multiply(A,B) = multiply(B,A),
inference(rw,[status(thm)],[eq_34,eq_5]) ).
cnf(eq_36,plain,
A = multiply(divide(A,B),B),
inference(rw,[status(thm)],[eq_33,eq_5]) ).
cnf(eq_37,plain,
A = multiply(B,divide(A,B)),
inference(cp,[status(thm)],[eq_36,eq_35]) ).
cnf(eq_38,negated_conjecture,
multiply(multiply(b3,c3),a3) != multiply(multiply(a3,b3),c3),
inference(cp,[status(thm)],[eq_35,eq_4]) ).
cnf(eq_39,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(multiply(b3,c3),a3),
eq_38 ).
cnf(eq_40,plain,
A = divide(B,divide(identity,divide(A,B))),
inference(rw,[status(thm)],[eq_37,eq_1]) ).
cnf(eq_41,plain,
divide(divide(A,x102),B) = divide(divide(identity,divide(divide(identity,divide(A,B)),identity)),x102),
inference(cp,[status(thm)],[eq_40,eq_11]) ).
cnf(eq_42,plain,
divide(divide(A,B),C) = divide(divide(A,C),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_28]),eq_27]) ).
cnf(eq_43,negated_conjecture,
multiply(multiply(b3,a3),c3) != multiply(multiply(b3,c3),a3),
inference(cp,[status(thm)],[eq_35,eq_39]) ).
cnf(eq_44,negated_conjecture,
divide(divide(b3,inverse(a3)),inverse(c3)) != divide(divide(b3,inverse(c3)),inverse(a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_43,eq_5]),eq_5]),eq_5]),eq_5]) ).
cnf(eq_45,negated_conjecture,
divide(divide(b3,inverse(c3)),inverse(a3)) != divide(divide(b3,inverse(c3)),inverse(a3)),
inference(cp,[status(thm)],[eq_42,eq_44]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP543-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % 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 04:19:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.62/0.83 % SZS status Unsatisfiable
% 0.62/0.83 % SZS output start CNFRefutation for /tmp/MaedMax_8629
% See solution above
% 0.62/0.83
%------------------------------------------------------------------------------