TSTP Solution File: GRP002-3 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP002-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n029.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 07:01:48 EDT 2022
% Result : Unsatisfiable 1.94s 2.12s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of clauses : 44 ( 44 unt; 0 nHn; 7 RR)
% Number of literals : 44 ( 43 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 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 : 68 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = multiply(identity,X),
file('/tmp/MaedMax_22303') ).
cnf(eq_1,axiom,
identity = multiply(inverse(X),X),
file('/tmp/MaedMax_22303') ).
cnf(eq_2,axiom,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
file('/tmp/MaedMax_22303') ).
cnf(eq_3,axiom,
multiply(X,multiply(Y,multiply(inverse(X),inverse(Y)))) = commutator(X,Y),
file('/tmp/MaedMax_22303') ).
cnf(eq_4,axiom,
identity = multiply(X,multiply(X,X)),
file('/tmp/MaedMax_22303') ).
cnf(eq_5,negated_conjecture,
identity != commutator(commutator(a,b),b),
file('/tmp/MaedMax_22303') ).
cnf(eq_6,plain,
multiply(X,multiply(Y,multiply(multiply(X,Y),multiply(X,Y)))) = identity,
inference(cp,[status(thm)],[eq_2,eq_4]) ).
cnf(eq_7,plain,
multiply(identity,x102) = multiply(X,multiply(multiply(X,X),x102)),
inference(cp,[status(thm)],[eq_4,eq_2]) ).
cnf(eq_8,plain,
multiply(identity,x102) = multiply(inverse(X),multiply(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_9,plain,
X = multiply(Y,multiply(Y,multiply(Y,X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_0]),eq_2]) ).
cnf(eq_10,plain,
identity = multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,Y))))),
inference(rw,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_11,plain,
X = multiply(inverse(Y),multiply(Y,X)),
inference(rw,[status(thm)],[eq_8,eq_0]) ).
cnf(eq_12,plain,
X = multiply(x100,multiply(x101,multiply(multiply(x100,x101),multiply(multiply(x100,x101),X)))),
inference(cp,[status(thm)],[eq_9,eq_2]) ).
cnf(eq_13,plain,
multiply(X,identity) = X,
inference(cp,[status(thm)],[eq_4,eq_9]) ).
cnf(eq_14,plain,
multiply(X,multiply(X,identity)) = multiply(Y,multiply(X,multiply(Y,multiply(X,Y)))),
inference(cp,[status(thm)],[eq_10,eq_9]) ).
cnf(eq_15,plain,
multiply(inverse(multiply(X,Y)),multiply(X,multiply(Y,Z))) = Z,
inference(cp,[status(thm)],[eq_2,eq_11]) ).
cnf(eq_16,plain,
multiply(inverse(Y),X) = multiply(Y,multiply(Y,X)),
inference(cp,[status(thm)],[eq_9,eq_11]) ).
cnf(eq_17,plain,
multiply(inverse(X),identity) = multiply(Y,multiply(X,multiply(Y,multiply(X,Y)))),
inference(cp,[status(thm)],[eq_10,eq_11]) ).
cnf(eq_18,plain,
multiply(inverse(X),identity) = multiply(X,X),
inference(cp,[status(thm)],[eq_4,eq_11]) ).
cnf(eq_19,plain,
multiply(inverse(inverse(X)),identity) = X,
inference(cp,[status(thm)],[eq_1,eq_11]) ).
cnf(eq_20,plain,
X = multiply(Y,multiply(Z,multiply(Y,multiply(Z,multiply(Y,multiply(Z,X)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_2]),eq_2]) ).
cnf(eq_21,plain,
X = multiply(inverse(multiply(Y,Z)),multiply(Y,multiply(Z,X))),
eq_15 ).
cnf(eq_22,plain,
multiply(X,multiply(X,Y)) = multiply(inverse(X),Y),
eq_16 ).
cnf(eq_23,plain,
X = multiply(inverse(inverse(X)),identity),
eq_19 ).
cnf(eq_24,plain,
multiply(X,X) = multiply(inverse(X),identity),
eq_18 ).
cnf(eq_25,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[eq_23,eq_13]) ).
cnf(eq_26,plain,
multiply(X,X) = inverse(X),
inference(rw,[status(thm)],[eq_24,eq_13]) ).
cnf(eq_27,plain,
multiply(X,multiply(Y,multiply(X,multiply(Y,X)))) = inverse(Y),
inference(rw,[status(thm)],[eq_17,eq_13]) ).
cnf(eq_28,plain,
multiply(X,X) = multiply(Y,multiply(X,multiply(Y,multiply(X,Y)))),
inference(rw,[status(thm)],[eq_14,eq_13]) ).
cnf(eq_29,plain,
multiply(X,multiply(Y,multiply(X,Y))) = inverse(multiply(X,Y)),
inference(cp,[status(thm)],[eq_2,eq_26]) ).
cnf(eq_30,plain,
multiply(multiply(X,multiply(multiply(x100,x101),multiply(X,multiply(multiply(x100,x101),X)))),multiply(x100,multiply(x101,x102))) = x102,
inference(cp,[status(thm)],[eq_27,eq_21]) ).
cnf(eq_31,plain,
multiply(X,multiply(multiply(x100,x101),multiply(X,multiply(multiply(x100,x101),X)))) = multiply(x100,multiply(x101,multiply(x100,x101))),
inference(cp,[status(thm)],[eq_27,eq_29]) ).
cnf(eq_32,plain,
multiply(X,multiply(Y,multiply(X,Y))) = multiply(Z,multiply(X,multiply(Y,multiply(Z,multiply(X,multiply(Y,Z)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_2]),eq_2]) ).
cnf(eq_33,plain,
X = multiply(Y,multiply(Z,multiply(x3,multiply(Y,multiply(Z,multiply(x3,multiply(Y,multiply(Z,multiply(x3,X))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_30,eq_2]),eq_2]),eq_2]),eq_2]),eq_2]),eq_2]),eq_2]),eq_2]) ).
cnf(eq_34,negated_conjecture,
identity != multiply(a,multiply(b,multiply(inverse(a),multiply(inverse(b),multiply(b,multiply(inverse(multiply(a,multiply(b,multiply(inverse(a),inverse(b))))),inverse(b))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_3]),eq_3]),eq_2]),eq_2]),eq_2]) ).
cnf(eq_35,negated_conjecture,
multiply(a,multiply(b,multiply(inverse(a),multiply(inverse(multiply(a,multiply(b,multiply(inverse(a),inverse(b))))),inverse(b))))) != identity,
inference(cp,[status(thm)],[eq_11,eq_34]) ).
cnf(eq_36,plain,
multiply(Y,multiply(Y,X)) = multiply(Z,multiply(Y,multiply(Z,multiply(Y,multiply(Z,X))))),
inference(cp,[status(thm)],[eq_20,eq_9]) ).
cnf(eq_37,plain,
multiply(X,multiply(X,Y)) = multiply(Z,multiply(X,multiply(Z,multiply(X,multiply(Z,Y))))),
eq_36 ).
cnf(eq_38,plain,
multiply(Y,multiply(Z,multiply(X,multiply(Y,multiply(X,multiply(Y,multiply(X,Y))))))) = multiply(Y,Z),
inference(cp,[status(thm)],[eq_32,eq_33]) ).
cnf(eq_39,plain,
multiply(X,Y) = multiply(X,multiply(Y,multiply(X,inverse(X)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_37]),eq_26]) ).
cnf(eq_40,negated_conjecture,
multiply(a,multiply(b,multiply(inverse(a),multiply(inverse(multiply(a,multiply(b,multiply(inverse(a),inverse(b))))),multiply(inverse(b),multiply(inverse(multiply(a,multiply(b,multiply(inverse(a),inverse(b))))),inverse(inverse(multiply(a,multiply(b,multiply(inverse(a),inverse(b)))))))))))) != identity,
inference(cp,[status(thm)],[eq_39,eq_35]) ).
cnf(eq_41,negated_conjecture,
identity != multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,inverse(b)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_40,eq_22]),eq_22]),eq_22]),eq_25]),eq_22]),eq_2]),eq_2]),eq_2]),eq_2]),eq_22]),eq_2]),eq_2]),eq_2]),eq_2]),eq_22]),eq_22]),eq_22]),eq_2]),eq_2]),eq_2]),eq_2]),eq_22]),eq_9]),eq_37]),eq_33]),eq_9]),eq_2]),eq_2]),eq_2]),eq_2]),eq_22]),eq_9]),eq_37]),eq_22]),eq_9]) ).
cnf(eq_42,negated_conjecture,
identity != identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_26]),eq_32]),eq_28]),eq_4]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP002-3 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : run_maedmax %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jul 26 04:27:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.94/2.12 % SZS status Unsatisfiable
% 1.94/2.12 % SZS output start CNFRefutation for /tmp/MaedMax_22303
% See solution above
% 1.94/2.12
%------------------------------------------------------------------------------