TSTP Solution File: GRP582-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP582-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n025.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 07:02:57 EDT 2022
% Result : Unsatisfiable 0.62s 0.80s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of clauses : 41 ( 41 unt; 0 nHn; 7 RR)
% Number of literals : 41 ( 40 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(double_divide(B,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B)))),double_divide(identity,identity)),
file('/tmp/MaedMax_4645') ).
cnf(eq_1,axiom,
double_divide(double_divide(A,B),identity) = multiply(B,A),
file('/tmp/MaedMax_4645') ).
cnf(eq_2,axiom,
double_divide(A,identity) = inverse(A),
file('/tmp/MaedMax_4645') ).
cnf(eq_3,axiom,
identity = double_divide(A,inverse(A)),
file('/tmp/MaedMax_4645') ).
cnf(eq_4,negated_conjecture,
multiply(identity,a2) != a2,
file('/tmp/MaedMax_4645') ).
cnf(eq_5,plain,
A = double_divide(double_divide(B,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B)))),inverse(identity)),
inference(rw,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_6,plain,
multiply(A,B) = inverse(double_divide(B,A)),
inference(rw,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_7,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),A)),double_divide(identity,identity)) = double_divide(B,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B)))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_8,plain,
double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),C)),double_divide(identity,identity)),
eq_7 ).
cnf(eq_9,plain,
double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))) = double_divide(double_divide(identity,double_divide(inverse(identity),C)),inverse(identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_2]),eq_2]) ).
cnf(eq_10,plain,
double_divide(double_divide(x100,double_divide(identity,double_divide(x102,double_divide(inverse(identity),x100)))),inverse(identity)) = x102,
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_11,plain,
double_divide(double_divide(inverse(A),double_divide(double_divide(identity,A),double_divide(x102,identity))),inverse(identity)) = x102,
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_12,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,A),double_divide(x102,inverse(A)))),inverse(identity)) = x102,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_13,plain,
A = double_divide(double_divide(inverse(B),double_divide(double_divide(identity,B),inverse(A))),inverse(identity)),
inference(rw,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_14,plain,
A = double_divide(double_divide(identity,double_divide(double_divide(identity,B),double_divide(A,inverse(B)))),inverse(identity)),
eq_12 ).
cnf(eq_15,plain,
A = double_divide(double_divide(B,double_divide(identity,double_divide(A,double_divide(inverse(identity),B)))),inverse(identity)),
eq_10 ).
cnf(eq_16,plain,
double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),C)),inverse(identity)),inverse(identity)) = C,
inference(cp,[status(thm)],[eq_9,eq_5]) ).
cnf(eq_17,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(x101,inverse(inverse(identity))))),inverse(identity)) = x101,
inference(cp,[status(thm)],[eq_2,eq_15]) ).
cnf(eq_18,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,A),identity)),inverse(identity)) = A,
inference(cp,[status(thm)],[eq_3,eq_14]) ).
cnf(eq_19,plain,
A = double_divide(double_divide(identity,multiply(A,identity)),inverse(identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_2]),eq_6]) ).
cnf(eq_20,plain,
A = double_divide(double_divide(identity,double_divide(identity,double_divide(A,inverse(inverse(identity))))),inverse(identity)),
eq_17 ).
cnf(eq_21,plain,
A = double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),A)),inverse(identity)),inverse(identity)),
eq_16 ).
cnf(eq_22,plain,
A = double_divide(double_divide(identity,inverse(double_divide(identity,A))),inverse(identity)),
inference(rw,[status(thm)],[eq_19,eq_6]) ).
cnf(eq_23,plain,
double_divide(double_divide(inverse(multiply(A,identity)),A),inverse(identity)) = identity,
inference(cp,[status(thm)],[eq_19,eq_13]) ).
cnf(eq_24,plain,
double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = inverse(identity),
inference(cp,[status(thm)],[eq_3,eq_20]) ).
cnf(eq_25,plain,
identity = double_divide(double_divide(inverse(multiply(A,identity)),A),inverse(identity)),
eq_23 ).
cnf(eq_26,plain,
identity = inverse(identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_2]),eq_3]),eq_3]) ).
cnf(eq_27,plain,
A = inverse(multiply(double_divide(identity,A),identity)),
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_21,eq_26]),eq_26]),eq_26]),eq_2]),eq_6]),eq_2]) ).
cnf(eq_28,plain,
A = multiply(double_divide(double_divide(identity,B),double_divide(A,double_divide(B,C))),C),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_26]),eq_2]),eq_6]) ).
cnf(eq_29,plain,
identity = multiply(A,inverse(multiply(A,identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_26]),eq_2]),eq_6]) ).
cnf(eq_30,plain,
A = multiply(multiply(A,identity),identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_6]),eq_26]),eq_2]),eq_6]) ).
cnf(eq_31,plain,
multiply(double_divide(identity,A),A) = identity,
inference(cp,[status(thm)],[eq_27,eq_29]) ).
cnf(eq_32,plain,
multiply(multiply(A,identity),inverse(A)) = identity,
inference(cp,[status(thm)],[eq_30,eq_29]) ).
cnf(eq_33,plain,
multiply(multiply(double_divide(B,A),identity),multiply(A,B)) = identity,
inference(cp,[status(thm)],[eq_6,eq_32]) ).
cnf(eq_34,plain,
identity = multiply(multiply(double_divide(A,B),identity),multiply(B,A)),
eq_33 ).
cnf(eq_35,plain,
multiply(multiply(double_divide(A,double_divide(identity,A)),identity),identity) = identity,
inference(cp,[status(thm)],[eq_31,eq_34]) ).
cnf(eq_36,plain,
identity = double_divide(A,double_divide(identity,A)),
inference(rw,[status(thm)],[eq_35,eq_30]) ).
cnf(eq_37,plain,
multiply(double_divide(double_divide(identity,identity),identity),A) = A,
inference(cp,[status(thm)],[eq_36,eq_28]) ).
cnf(eq_38,plain,
A = multiply(identity,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_2]),eq_26]),eq_2]),eq_26]) ).
cnf(eq_39,negated_conjecture,
a2 != a2,
inference(cp,[status(thm)],[eq_38,eq_4]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP582-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n025.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 04:18:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.62/0.80 % SZS status Unsatisfiable
% 0.62/0.80 % SZS output start CNFRefutation for /tmp/MaedMax_4645
% See solution above
% 0.62/0.80
%------------------------------------------------------------------------------