%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP464-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n023.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 07:02:47 EDT 2022
% Result : Unsatisfiable 0.40s 0.59s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 15 RR)
% Number of literals : 27 ( 26 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(B,divide(divide(divide(divide(B,B),A),C),divide(divide(identity,B),C))),
file('/tmp/MaedMax_29381') ).
cnf(eq_1,axiom,
divide(A,divide(identity,B)) = multiply(A,B),
file('/tmp/MaedMax_29381') ).
cnf(eq_2,axiom,
divide(identity,A) = inverse(A),
file('/tmp/MaedMax_29381') ).
cnf(eq_3,axiom,
divide(A,A) = identity,
file('/tmp/MaedMax_29381') ).
cnf(eq_4,negated_conjecture,
multiply(identity,a2) != a2,
file('/tmp/MaedMax_29381') ).
cnf(eq_5,plain,
A = divide(B,divide(divide(inverse(A),C),divide(inverse(B),C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_3]),eq_2]),eq_2]) ).
cnf(eq_6,plain,
inverse(identity) = identity,
inference(cp,[status(thm)],[eq_2,eq_3]) ).
cnf(eq_7,negated_conjecture,
divide(identity,divide(identity,a2)) != a2,
inference(rw,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_8,plain,
divide(x101,identity) = x101,
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_9,plain,
divide(x100,divide(divide(identity,x102),divide(inverse(x100),x102))) = identity,
inference(cp,[status(thm)],[eq_6,eq_5]) ).
cnf(eq_10,plain,
divide(A,divide(inverse(B),divide(inverse(A),B))) = identity,
inference(rw,[status(thm)],[eq_9,eq_2]) ).
cnf(eq_11,plain,
A = divide(A,identity),
eq_8 ).
cnf(eq_12,plain,
divide(x100,divide(inverse(x101),divide(inverse(x100),identity))) = x101,
inference(cp,[status(thm)],[eq_11,eq_5]) ).
cnf(eq_13,plain,
divide(x100,divide(inverse(inverse(x100)),identity)) = identity,
inference(cp,[status(thm)],[eq_3,eq_10]) ).
cnf(eq_14,plain,
A = divide(B,divide(inverse(A),divide(inverse(B),identity))),
eq_12 ).
cnf(eq_15,plain,
divide(A,divide(inverse(inverse(A)),identity)) = identity,
eq_13 ).
cnf(eq_16,negated_conjecture,
divide(identity,divide(divide(A,divide(inverse(B),divide(inverse(A),B))),a2)) != a2,
inference(cp,[status(thm)],[eq_10,eq_7]) ).
cnf(eq_17,negated_conjecture,
inverse(divide(divide(A,divide(inverse(B),divide(inverse(A),B))),a2)) != a2,
inference(rw,[status(thm)],[eq_16,eq_2]) ).
cnf(eq_18,plain,
A = divide(B,divide(divide(identity,A),divide(identity,B))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_2]),eq_2]),eq_11]) ).
cnf(eq_19,plain,
divide(A,divide(identity,divide(identity,A))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_2]),eq_2]),eq_11]) ).
cnf(eq_20,negated_conjecture,
divide(identity,divide(divide(A,divide(divide(identity,B),divide(divide(identity,A),B))),a2)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_2]),eq_2]),eq_2]) ).
cnf(eq_21,plain,
divide(divide(identity,divide(identity,x101)),identity) = x101,
inference(cp,[status(thm)],[eq_19,eq_18]) ).
cnf(eq_22,plain,
A = divide(identity,divide(identity,A)),
inference(rw,[status(thm)],[eq_21,eq_11]) ).
cnf(eq_23,negated_conjecture,
divide(identity,divide(divide(x100,divide(identity,divide(divide(identity,x100),divide(identity,divide(identity,identity))))),a2)) != a2,
inference(cp,[status(thm)],[eq_19,eq_20]) ).
cnf(eq_24,negated_conjecture,
divide(identity,divide(divide(A,divide(identity,divide(identity,A))),a2)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_23,eq_11]),eq_11]),eq_11]) ).
cnf(eq_25,negated_conjecture,
a2 != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_22]),eq_3]),eq_22]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP464-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n023.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 04:43:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.40/0.59 % SZS status Unsatisfiable
% 0.40/0.59 % SZS output start CNFRefutation for /tmp/MaedMax_29381
% See solution above
% 0.40/0.59
%------------------------------------------------------------------------------