TSTP Solution File: GRP458-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP458-1 : TPTP v8.1.0. Released v2.6.0.
% 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 07:02:46 EDT 2022
% Result : Unsatisfiable 0.19s 0.59s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 9 RR)
% Number of literals : 27 ( 26 equ; 3 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = divide(divide(divide(B,B),divide(B,divide(A,divide(divide(identity,B),C)))),C),
file('/tmp/MaedMax_29862') ).
cnf(eq_1,axiom,
divide(A,divide(identity,B)) = multiply(A,B),
file('/tmp/MaedMax_29862') ).
cnf(eq_2,axiom,
divide(identity,A) = inverse(A),
file('/tmp/MaedMax_29862') ).
cnf(eq_3,axiom,
divide(A,A) = identity,
file('/tmp/MaedMax_29862') ).
cnf(eq_4,negated_conjecture,
multiply(identity,a2) != a2,
file('/tmp/MaedMax_29862') ).
cnf(eq_5,plain,
A = divide(inverse(divide(B,divide(A,divide(inverse(B),C)))),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,
divide(A,inverse(B)) = multiply(A,B),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_7,plain,
inverse(identity) = identity,
inference(cp,[status(thm)],[eq_2,eq_3]) ).
cnf(eq_8,negated_conjecture,
divide(identity,divide(identity,a2)) != a2,
inference(rw,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_9,plain,
divide(inverse(divide(x100,identity)),x102) = divide(inverse(x100),x102),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_10,plain,
divide(inverse(divide(divide(B,divide(A,divide(inverse(B),C))),divide(x101,A))),C) = x101,
inference(cp,[status(thm)],[eq_5,eq_5]) ).
cnf(eq_11,plain,
divide(inverse(divide(identity,divide(x101,divide(identity,x102)))),x102) = x101,
inference(cp,[status(thm)],[eq_7,eq_5]) ).
cnf(eq_12,plain,
A = divide(inverse(inverse(multiply(A,B))),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_2]),eq_6]),eq_2]) ).
cnf(eq_13,plain,
divide(inverse(A),B) = divide(inverse(divide(A,identity)),B),
eq_9 ).
cnf(eq_14,plain,
A = divide(inverse(divide(divide(B,divide(C,divide(inverse(B),x3))),divide(A,C))),x3),
eq_10 ).
cnf(eq_15,plain,
divide(inverse(divide(x100,divide(inverse(divide(A,identity)),divide(inverse(x100),x102)))),x102) = inverse(A),
inference(cp,[status(thm)],[eq_13,eq_5]) ).
cnf(eq_16,plain,
divide(inverse(divide(divide(identity,divide(x101,divide(identity,x102))),divide(x103,x101))),x102) = x103,
inference(cp,[status(thm)],[eq_7,eq_14]) ).
cnf(eq_17,plain,
A = divide(inverse(divide(inverse(divide(B,inverse(C))),divide(A,B))),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_2]),eq_2]) ).
cnf(eq_18,plain,
inverse(A) = inverse(divide(A,identity)),
inference(rw,[status(thm)],[eq_15,eq_5]) ).
cnf(eq_19,plain,
A = divide(divide(identity,divide(identity,divide(A,divide(identity,B)))),B),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_1]),eq_2]),eq_2]) ).
cnf(eq_20,plain,
A = divide(divide(identity,divide(divide(identity,divide(B,divide(identity,C))),divide(A,B))),C),
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(identity,A) = divide(identity,divide(A,identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_2]),eq_2]) ).
cnf(eq_22,plain,
divide(divide(identity,identity),divide(identity,divide(x102,identity))) = x102,
inference(cp,[status(thm)],[eq_19,eq_20]) ).
cnf(eq_23,plain,
A = divide(identity,divide(identity,divide(A,identity))),
inference(rw,[status(thm)],[eq_22,eq_3]) ).
cnf(eq_24,plain,
A = divide(identity,divide(identity,A)),
inference(rw,[status(thm)],[eq_23,eq_21]) ).
cnf(eq_25,negated_conjecture,
a2 != a2,
inference(cp,[status(thm)],[eq_24,eq_8]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP458-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 26 04:04:30 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.59 % SZS status Unsatisfiable
% 0.19/0.59 % SZS output start CNFRefutation for /tmp/MaedMax_29862
% See solution above
% 0.42/0.59
%------------------------------------------------------------------------------