TSTP Solution File: GRP485-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP485-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n021.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 07:02:49 EDT 2022
% Result : Unsatisfiable 0.47s 0.64s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 10 RR)
% Number of literals : 35 ( 34 equ; 4 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(double_divide(B,double_divide(double_divide(double_divide(B,C),A),double_divide(C,identity))),double_divide(identity,identity)),
file('/tmp/MaedMax_9280') ).
cnf(eq_1,axiom,
double_divide(double_divide(A,B),identity) = multiply(B,A),
file('/tmp/MaedMax_9280') ).
cnf(eq_2,axiom,
double_divide(A,identity) = inverse(A),
file('/tmp/MaedMax_9280') ).
cnf(eq_3,axiom,
double_divide(A,inverse(A)) = identity,
file('/tmp/MaedMax_9280') ).
cnf(eq_4,negated_conjecture,
multiply(identity,a2) != a2,
file('/tmp/MaedMax_9280') ).
cnf(eq_5,plain,
A = double_divide(double_divide(B,double_divide(double_divide(double_divide(B,C),A),inverse(C))),inverse(identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_2]) ).
cnf(eq_6,negated_conjecture,
double_divide(double_divide(a2,identity),identity) != a2,
inference(rw,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_7,plain,
double_divide(double_divide(x100,A),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(x100,identity),C),A),double_divide(C,identity)),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_8,plain,
double_divide(double_divide(A,B),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(A,identity),C),B),double_divide(C,identity)),
eq_7 ).
cnf(eq_9,plain,
double_divide(double_divide(A,B),inverse(identity)) = double_divide(double_divide(double_divide(inverse(A),C),B),inverse(C)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_2]),eq_2]),eq_2]) ).
cnf(eq_10,negated_conjecture,
inverse(inverse(a2)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_2]),eq_2]) ).
cnf(eq_11,plain,
double_divide(double_divide(x100,double_divide(identity,inverse(x101))),inverse(identity)) = inverse(double_divide(x100,x101)),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_12,plain,
double_divide(double_divide(x100,double_divide(inverse(double_divide(x100,x101)),inverse(x101))),inverse(identity)) = identity,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_13,plain,
double_divide(double_divide(A,double_divide(double_divide(inverse(A),x102),inverse(identity))),inverse(identity)) = x102,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_14,plain,
A = double_divide(double_divide(B,double_divide(double_divide(inverse(B),A),inverse(identity))),inverse(identity)),
eq_13 ).
cnf(eq_15,plain,
double_divide(double_divide(A,double_divide(inverse(double_divide(A,B)),inverse(B))),inverse(identity)) = identity,
eq_12 ).
cnf(eq_16,plain,
double_divide(double_divide(A,double_divide(identity,inverse(B))),inverse(identity)) = inverse(double_divide(A,B)),
eq_11 ).
cnf(eq_17,plain,
double_divide(double_divide(inverse(A),double_divide(double_divide(A,B),inverse(identity))),inverse(identity)) = B,
inference(cp,[status(thm)],[eq_9,eq_5]) ).
cnf(eq_18,plain,
double_divide(double_divide(A,double_divide(inverse(identity),inverse(inverse(A)))),inverse(identity)) = identity,
inference(cp,[status(thm)],[eq_3,eq_15]) ).
cnf(eq_19,plain,
double_divide(double_divide(x100,inverse(double_divide(inverse(x100),B))),inverse(identity)) = double_divide(identity,inverse(B)),
inference(cp,[status(thm)],[eq_16,eq_14]) ).
cnf(eq_20,plain,
inverse(inverse(A)) = double_divide(double_divide(A,double_divide(identity,inverse(identity))),inverse(identity)),
inference(cp,[status(thm)],[eq_2,eq_16]) ).
cnf(eq_21,plain,
double_divide(inverse(A),inverse(identity)) = inverse(inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_3]),eq_2]) ).
cnf(eq_22,plain,
double_divide(double_divide(A,inverse(double_divide(inverse(A),B))),inverse(identity)) = double_divide(identity,inverse(B)),
eq_19 ).
cnf(eq_23,plain,
A = double_divide(double_divide(inverse(B),double_divide(double_divide(B,A),inverse(identity))),inverse(identity)),
eq_17 ).
cnf(eq_24,plain,
double_divide(double_divide(x100,identity),inverse(identity)) = double_divide(inverse(identity),inverse(inverse(inverse(x100)))),
inference(cp,[status(thm)],[eq_18,eq_14]) ).
cnf(eq_25,plain,
double_divide(double_divide(inverse(inverse(A)),double_divide(inverse(inverse(A)),inverse(identity))),inverse(identity)) = inverse(identity),
inference(cp,[status(thm)],[eq_21,eq_23]) ).
cnf(eq_26,plain,
double_divide(double_divide(inverse(A),double_divide(identity,inverse(identity))),inverse(identity)) = inverse(A),
inference(cp,[status(thm)],[eq_3,eq_23]) ).
cnf(eq_27,plain,
inverse(A) = inverse(inverse(inverse(A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_3]),eq_2]),eq_21]) ).
cnf(eq_28,plain,
identity = inverse(identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_21]),eq_3]),eq_3]) ).
cnf(eq_29,plain,
double_divide(inverse(identity),inverse(inverse(inverse(A)))) = inverse(inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_2]),eq_21]) ).
cnf(eq_30,plain,
double_divide(double_divide(x100,double_divide(double_divide(double_divide(x100,identity),x102),identity)),inverse(identity)) = x102,
inference(cp,[status(thm)],[eq_28,eq_5]) ).
cnf(eq_31,plain,
A = double_divide(identity,inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_2]),eq_2]),eq_22]) ).
cnf(eq_32,plain,
A = inverse(inverse(A)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_28]),eq_27]),eq_31]) ).
cnf(eq_33,negated_conjecture,
a2 != a2,
inference(cp,[status(thm)],[eq_32,eq_10]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP485-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n021.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 04:12:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.47/0.64 % SZS status Unsatisfiable
% 0.47/0.64 % SZS output start CNFRefutation for /tmp/MaedMax_9280
% See solution above
% 0.47/0.64
%------------------------------------------------------------------------------