TSTP Solution File: GRP487-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP487-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n006.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 0.45s 0.61s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of clauses : 40 ( 40 unt; 0 nHn; 14 RR)
% Number of literals : 40 ( 39 equ; 4 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = double_divide(B,double_divide(double_divide(double_divide(identity,double_divide(double_divide(B,identity),double_divide(C,A))),C),identity)),
file('/tmp/MaedMax_11509') ).
cnf(eq_1,axiom,
double_divide(double_divide(A,B),identity) = multiply(B,A),
file('/tmp/MaedMax_11509') ).
cnf(eq_2,axiom,
double_divide(A,identity) = inverse(A),
file('/tmp/MaedMax_11509') ).
cnf(eq_3,axiom,
identity = double_divide(A,inverse(A)),
file('/tmp/MaedMax_11509') ).
cnf(eq_4,negated_conjecture,
identity != multiply(inverse(a1),a1),
file('/tmp/MaedMax_11509') ).
cnf(eq_5,plain,
A = double_divide(B,inverse(double_divide(double_divide(identity,double_divide(inverse(B),double_divide(C,A))),C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),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,negated_conjecture,
identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_2]),eq_1]) ).
cnf(eq_8,negated_conjecture,
identity != inverse(identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_2]),eq_3]),eq_2]) ).
cnf(eq_9,plain,
double_divide(x100,inverse(inverse(double_divide(identity,double_divide(inverse(x100),double_divide(identity,x102)))))) = x102,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_10,plain,
double_divide(x100,inverse(double_divide(double_divide(identity,double_divide(inverse(x100),identity)),A))) = inverse(A),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_11,plain,
double_divide(x100,inverse(double_divide(double_divide(identity,double_divide(inverse(x100),inverse(A))),A))) = identity,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_12,plain,
double_divide(A,inverse(double_divide(double_divide(identity,inverse(inverse(A))),B))) = inverse(B),
inference(rw,[status(thm)],[eq_10,eq_2]) ).
cnf(eq_13,plain,
identity = double_divide(A,inverse(double_divide(double_divide(identity,double_divide(inverse(A),inverse(B))),B))),
eq_11 ).
cnf(eq_14,plain,
A = double_divide(B,inverse(inverse(double_divide(identity,double_divide(inverse(B),double_divide(identity,A)))))),
eq_9 ).
cnf(eq_15,plain,
double_divide(x100,inverse(double_divide(double_divide(identity,identity),inverse(x100)))) = identity,
inference(cp,[status(thm)],[eq_3,eq_13]) ).
cnf(eq_16,plain,
double_divide(x100,inverse(identity)) = inverse(inverse(double_divide(identity,inverse(inverse(x100))))),
inference(cp,[status(thm)],[eq_3,eq_12]) ).
cnf(eq_17,plain,
double_divide(x100,inverse(inverse(double_divide(identity,double_divide(inverse(x100),identity))))) = inverse(identity),
inference(cp,[status(thm)],[eq_3,eq_14]) ).
cnf(eq_18,plain,
double_divide(A,inverse(inverse(double_divide(identity,inverse(inverse(A)))))) = inverse(identity),
inference(rw,[status(thm)],[eq_17,eq_2]) ).
cnf(eq_19,plain,
identity = double_divide(A,inverse(double_divide(inverse(identity),inverse(A)))),
inference(rw,[status(thm)],[eq_15,eq_2]) ).
cnf(eq_20,plain,
double_divide(A,inverse(identity)) = inverse(inverse(double_divide(identity,inverse(inverse(A))))),
eq_16 ).
cnf(eq_21,plain,
double_divide(A,inverse(identity)) = inverse(multiply(inverse(inverse(A)),identity)),
inference(rw,[status(thm)],[eq_20,eq_6]) ).
cnf(eq_22,plain,
double_divide(A,inverse(multiply(inverse(inverse(A)),identity))) = inverse(identity),
inference(rw,[status(thm)],[eq_18,eq_6]) ).
cnf(eq_23,plain,
identity = double_divide(A,multiply(inverse(A),inverse(identity))),
inference(rw,[status(thm)],[eq_19,eq_6]) ).
cnf(eq_24,plain,
double_divide(double_divide(B,A),multiply(A,B)) = identity,
inference(cp,[status(thm)],[eq_6,eq_3]) ).
cnf(eq_25,plain,
inverse(identity) = multiply(inverse(A),A),
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_26,plain,
multiply(inverse(A),A) = inverse(identity),
eq_25 ).
cnf(eq_27,plain,
identity = double_divide(double_divide(A,B),multiply(B,A)),
eq_24 ).
cnf(eq_28,plain,
double_divide(identity,identity) = multiply(multiply(B,A),double_divide(A,B)),
inference(cp,[status(thm)],[eq_27,eq_1]) ).
cnf(eq_29,plain,
double_divide(identity,multiply(multiply(B,A),double_divide(A,B))) = identity,
inference(cp,[status(thm)],[eq_27,eq_27]) ).
cnf(eq_30,plain,
identity = double_divide(identity,multiply(multiply(A,B),double_divide(B,A))),
eq_29 ).
cnf(eq_31,plain,
double_divide(identity,identity) = multiply(multiply(A,B),double_divide(B,A)),
eq_28 ).
cnf(eq_32,plain,
multiply(multiply(A,B),double_divide(B,A)) = inverse(identity),
inference(rw,[status(thm)],[eq_31,eq_2]) ).
cnf(eq_33,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(cp,[status(thm)],[eq_26,eq_23]) ).
cnf(eq_34,plain,
identity = inverse(multiply(inverse(inverse(inverse(identity))),identity)),
inference(rw,[status(thm)],[eq_33,eq_21]) ).
cnf(eq_35,plain,
double_divide(inverse(identity),identity) = inverse(identity),
inference(cp,[status(thm)],[eq_34,eq_22]) ).
cnf(eq_36,plain,
inverse(identity) = inverse(inverse(identity)),
inference(rw,[status(thm)],[eq_35,eq_2]) ).
cnf(eq_37,plain,
identity = inverse(identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_32]),eq_21]),eq_36]),eq_26]),eq_36]) ).
cnf(eq_38,negated_conjecture,
identity != identity,
inference(cp,[status(thm)],[eq_37,eq_8]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP487-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.11/0.33 % Computer : n006.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Jul 26 04:16:47 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.45/0.61 % SZS status Unsatisfiable
% 0.45/0.61 % SZS output start CNFRefutation for /tmp/MaedMax_11509
% See solution above
% 0.45/0.61
%------------------------------------------------------------------------------