TSTP Solution File: GRP001-2 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n011.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 07:01:47 EDT 2022
% Result : Unsatisfiable 0.21s 0.51s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 5 RR)
% Number of literals : 21 ( 20 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = multiply(identity,X),
file('/tmp/MaedMax_10088') ).
cnf(eq_1,axiom,
identity = multiply(inverse(X),X),
file('/tmp/MaedMax_10088') ).
cnf(eq_2,axiom,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
file('/tmp/MaedMax_10088') ).
cnf(eq_3,axiom,
X = multiply(X,identity),
file('/tmp/MaedMax_10088') ).
cnf(eq_4,axiom,
identity = multiply(X,X),
file('/tmp/MaedMax_10088') ).
cnf(eq_5,axiom,
multiply(a,b) = c,
file('/tmp/MaedMax_10088') ).
cnf(eq_6,negated_conjecture,
multiply(b,a) != c,
file('/tmp/MaedMax_10088') ).
cnf(eq_7,plain,
multiply(X,multiply(Y,multiply(X,Y))) = identity,
inference(cp,[status(thm)],[eq_2,eq_4]) ).
cnf(eq_8,plain,
multiply(identity,x102) = multiply(X,multiply(X,x102)),
inference(cp,[status(thm)],[eq_4,eq_2]) ).
cnf(eq_9,plain,
multiply(identity,x102) = multiply(inverse(X),multiply(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_10,plain,
X = multiply(inverse(Y),multiply(Y,X)),
inference(rw,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_11,plain,
X = multiply(Y,multiply(Y,X)),
inference(rw,[status(thm)],[eq_8,eq_0]) ).
cnf(eq_12,negated_conjecture,
multiply(a,b) != multiply(b,a),
inference(rw,[status(thm)],[eq_6,eq_5]) ).
cnf(eq_13,plain,
multiply(inverse(X),identity) = X,
inference(cp,[status(thm)],[eq_1,eq_11]) ).
cnf(eq_14,plain,
multiply(inverse(X),identity) = multiply(Y,multiply(X,Y)),
inference(cp,[status(thm)],[eq_7,eq_10]) ).
cnf(eq_15,plain,
X = inverse(X),
inference(rw,[status(thm)],[eq_13,eq_3]) ).
cnf(eq_16,plain,
multiply(X,multiply(Y,X)) = inverse(Y),
inference(rw,[status(thm)],[eq_14,eq_3]) ).
cnf(eq_17,plain,
multiply(X,inverse(Y)) = multiply(Y,X),
inference(cp,[status(thm)],[eq_16,eq_11]) ).
cnf(eq_18,plain,
multiply(X,Y) = multiply(Y,X),
inference(rw,[status(thm)],[eq_17,eq_15]) ).
cnf(eq_19,negated_conjecture,
multiply(b,a) != multiply(b,a),
inference(cp,[status(thm)],[eq_18,eq_12]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Jul 26 04:11:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.51 % SZS status Unsatisfiable
% 0.21/0.51 % SZS output start CNFRefutation for /tmp/MaedMax_10088
% See solution above
% 0.21/0.51
%------------------------------------------------------------------------------