%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP552-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n007.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 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 6 RR)
% Number of literals : 30 ( 29 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(identity,B),divide(divide(divide(C,B),A),C)),
file('/tmp/MaedMax_11980') ).
cnf(eq_1,axiom,
divide(A,divide(identity,B)) = multiply(A,B),
file('/tmp/MaedMax_11980') ).
cnf(eq_2,axiom,
divide(identity,A) = inverse(A),
file('/tmp/MaedMax_11980') ).
cnf(eq_3,axiom,
identity = divide(A,A),
file('/tmp/MaedMax_11980') ).
cnf(eq_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/tmp/MaedMax_11980') ).
cnf(eq_5,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_6,plain,
divide(identity,divide(divide(divide(x101,identity),x102),x101)) = x102,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_7,plain,
divide(divide(identity,B),divide(A,identity)) = divide(divide(divide(C,B),A),C),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_8,plain,
divide(divide(identity,x100),divide(identity,x101)) = divide(x101,x100),
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_9,plain,
divide(divide(identity,A),divide(divide(identity,x102),A)) = x102,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_10,plain,
divide(divide(identity,A),divide(B,identity)) = divide(divide(divide(C,A),B),C),
eq_7 ).
cnf(eq_11,plain,
A = divide(identity,divide(divide(divide(B,identity),A),B)),
eq_6 ).
cnf(eq_12,plain,
A = divide(divide(identity,B),divide(divide(identity,A),B)),
eq_9 ).
cnf(eq_13,plain,
divide(A,B) = divide(divide(identity,B),divide(identity,A)),
eq_8 ).
cnf(eq_14,plain,
divide(divide(divide(C,A),B),C) = divide(inverse(A),divide(B,identity)),
inference(rw,[status(thm)],[eq_10,eq_2]) ).
cnf(eq_15,plain,
A = divide(inverse(B),divide(inverse(A),B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_2]),eq_2]) ).
cnf(eq_16,plain,
A = divide(inverse(B),divide(inverse(B),divide(A,identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_14]) ).
cnf(eq_17,plain,
divide(A,B) = multiply(inverse(B),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_2]),eq_2]),eq_5]) ).
cnf(eq_18,plain,
multiply(identity,B) = inverse(inverse(B)),
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_19,plain,
multiply(identity,A) = inverse(inverse(A)),
eq_18 ).
cnf(eq_20,plain,
A = inverse(divide(divide(divide(B,identity),A),B)),
inference(rw,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_21,plain,
A = divide(A,identity),
inference(cp,[status(thm)],[eq_16,eq_15]) ).
cnf(eq_22,plain,
multiply(multiply(identity,A),x101) = divide(x101,inverse(A)),
inference(cp,[status(thm)],[eq_19,eq_17]) ).
cnf(eq_23,plain,
inverse(divide(identity,x100)) = divide(x100,identity),
inference(cp,[status(thm)],[eq_3,eq_20]) ).
cnf(eq_24,plain,
divide(A,identity) = multiply(identity,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_23,eq_2]),eq_19]) ).
cnf(eq_25,plain,
multiply(A,B) = multiply(multiply(identity,B),A),
inference(rw,[status(thm)],[eq_22,eq_5]) ).
cnf(eq_26,plain,
multiply(identity,A) = A,
inference(rw,[status(thm)],[eq_24,eq_21]) ).
cnf(eq_27,plain,
multiply(A,B) = multiply(B,A),
inference(rw,[status(thm)],[eq_25,eq_26]) ).
cnf(eq_28,negated_conjecture,
multiply(b,a) != multiply(b,a),
inference(cp,[status(thm)],[eq_27,eq_4]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP552-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n007.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 03:55:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.57 % SZS status Unsatisfiable
% 0.19/0.57 % SZS output start CNFRefutation for /tmp/MaedMax_11980
% See solution above
% 0.19/0.57
%------------------------------------------------------------------------------