TSTP Solution File: GRP002-2 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP002-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n017.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 0.60s 0.82s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 46 ( 46 unt; 0 nHn; 15 RR)
% Number of literals : 46 ( 45 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 : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = multiply(identity,X),
file('/tmp/MaedMax_7216') ).
cnf(eq_1,axiom,
identity = multiply(inverse(X),X),
file('/tmp/MaedMax_7216') ).
cnf(eq_2,axiom,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
file('/tmp/MaedMax_7216') ).
cnf(eq_3,axiom,
X = multiply(X,identity),
file('/tmp/MaedMax_7216') ).
cnf(eq_4,axiom,
identity = multiply(X,inverse(X)),
file('/tmp/MaedMax_7216') ).
cnf(eq_5,axiom,
identity = multiply(X,multiply(X,X)),
file('/tmp/MaedMax_7216') ).
cnf(eq_6,axiom,
multiply(a,b) = c,
file('/tmp/MaedMax_7216') ).
cnf(eq_7,axiom,
multiply(c,inverse(a)) = d,
file('/tmp/MaedMax_7216') ).
cnf(eq_8,axiom,
multiply(d,inverse(b)) = h,
file('/tmp/MaedMax_7216') ).
cnf(eq_9,axiom,
multiply(h,b) = j,
file('/tmp/MaedMax_7216') ).
cnf(eq_10,axiom,
multiply(j,inverse(h)) = k,
file('/tmp/MaedMax_7216') ).
cnf(eq_11,negated_conjecture,
identity != multiply(k,inverse(b)),
file('/tmp/MaedMax_7216') ).
cnf(eq_12,plain,
multiply(a,multiply(b,inverse(a))) = d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_6]),eq_2]) ).
cnf(eq_13,plain,
multiply(X,multiply(Y,inverse(multiply(X,Y)))) = identity,
inference(cp,[status(thm)],[eq_2,eq_4]) ).
cnf(eq_14,plain,
multiply(identity,x102) = multiply(X,multiply(multiply(X,X),x102)),
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_15,plain,
multiply(identity,x102) = multiply(X,multiply(inverse(X),x102)),
inference(cp,[status(thm)],[eq_4,eq_2]) ).
cnf(eq_16,plain,
multiply(identity,x102) = multiply(inverse(X),multiply(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_17,plain,
X = multiply(Y,multiply(Y,multiply(Y,X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_0]),eq_2]) ).
cnf(eq_18,plain,
X = multiply(Y,multiply(inverse(Y),X)),
inference(rw,[status(thm)],[eq_15,eq_0]) ).
cnf(eq_19,plain,
X = multiply(inverse(Y),multiply(Y,X)),
inference(rw,[status(thm)],[eq_16,eq_0]) ).
cnf(eq_20,plain,
multiply(j,inverse(multiply(d,inverse(b)))) = k,
inference(rw,[status(thm)],[eq_10,eq_8]) ).
cnf(eq_21,plain,
d = j,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_8]),eq_2]),eq_1]),eq_3]) ).
cnf(eq_22,plain,
multiply(Y,multiply(Y,X)) = multiply(inverse(Y),X),
inference(cp,[status(thm)],[eq_18,eq_17]) ).
cnf(eq_23,plain,
multiply(X,multiply(X,identity)) = inverse(X),
inference(cp,[status(thm)],[eq_4,eq_17]) ).
cnf(eq_24,plain,
multiply(x100,identity) = inverse(inverse(x100)),
inference(cp,[status(thm)],[eq_4,eq_18]) ).
cnf(eq_25,plain,
X = inverse(inverse(X)),
inference(rw,[status(thm)],[eq_24,eq_3]) ).
cnf(eq_26,plain,
multiply(X,X) = inverse(X),
inference(rw,[status(thm)],[eq_23,eq_3]) ).
cnf(eq_27,plain,
multiply(X,multiply(X,Y)) = multiply(inverse(X),Y),
eq_22 ).
cnf(eq_28,plain,
multiply(X,multiply(Y,multiply(X,Y))) = inverse(multiply(X,Y)),
inference(cp,[status(thm)],[eq_2,eq_26]) ).
cnf(eq_29,plain,
multiply(inverse(X),identity) = multiply(Y,inverse(multiply(X,Y))),
inference(cp,[status(thm)],[eq_13,eq_19]) ).
cnf(eq_30,plain,
multiply(multiply(X,Y),multiply(X,multiply(Y,Z))) = multiply(inverse(multiply(X,Y)),Z),
inference(cp,[status(thm)],[eq_2,eq_27]) ).
cnf(eq_31,plain,
multiply(X,inverse(multiply(Y,X))) = inverse(Y),
inference(rw,[status(thm)],[eq_29,eq_3]) ).
cnf(eq_32,plain,
multiply(d,inverse(multiply(d,inverse(b)))) = k,
inference(rw,[status(thm)],[eq_20,eq_21]) ).
cnf(eq_33,negated_conjecture,
multiply(multiply(d,inverse(multiply(d,inverse(b)))),inverse(b)) != identity,
inference(cp,[status(thm)],[eq_32,eq_11]) ).
cnf(eq_34,negated_conjecture,
identity != multiply(d,multiply(inverse(multiply(d,inverse(b))),inverse(b))),
inference(rw,[status(thm)],[eq_33,eq_2]) ).
cnf(eq_35,plain,
multiply(inverse(multiply(Y,X)),inverse(inverse(Y))) = inverse(X),
inference(cp,[status(thm)],[eq_31,eq_31]) ).
cnf(eq_36,plain,
multiply(inverse(X),inverse(Y)) = inverse(multiply(Y,X)),
inference(cp,[status(thm)],[eq_31,eq_19]) ).
cnf(eq_37,plain,
multiply(inverse(multiply(X,Y)),X) = inverse(Y),
inference(rw,[status(thm)],[eq_35,eq_25]) ).
cnf(eq_38,plain,
multiply(inverse(inverse(multiply(X,Y))),X) = inverse(multiply(Y,multiply(X,Y))),
inference(cp,[status(thm)],[eq_28,eq_37]) ).
cnf(eq_39,plain,
multiply(X,multiply(Y,X)) = inverse(multiply(Y,multiply(X,Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_25]),eq_2]) ).
cnf(eq_40,plain,
multiply(X,multiply(Y,X)) = multiply(inverse(Y),multiply(inverse(X),inverse(Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_36]),eq_36]),eq_2]) ).
cnf(eq_41,plain,
multiply(X,multiply(Y,multiply(X,multiply(Y,Z)))) = multiply(inverse(Y),multiply(inverse(X),Z)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_2]),eq_36]),eq_2]) ).
cnf(eq_42,plain,
multiply(multiply(X,Y),multiply(inverse(X),Y)) = multiply(inverse(X),multiply(inverse(multiply(X,Y)),inverse(X))),
inference(cp,[status(thm)],[eq_27,eq_40]) ).
cnf(eq_43,plain,
multiply(X,multiply(Y,multiply(inverse(X),Y))) = multiply(inverse(X),multiply(inverse(Y),X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_2]),eq_36]),eq_2]),eq_26]),eq_25]) ).
cnf(eq_44,negated_conjecture,
identity != 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)],[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_34,eq_12]),eq_12]),eq_2]),eq_2]),eq_36]),eq_36]),eq_36]),eq_25]),eq_25]),eq_2]),eq_2]),eq_2]),eq_2]),eq_2]),eq_2]),eq_43]),eq_25]),eq_2]),eq_2]),eq_41]),eq_25]),eq_26]),eq_18]),eq_4]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP002-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 26 03:32:47 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.60/0.82 % SZS status Unsatisfiable
% 0.60/0.82 % SZS output start CNFRefutation for /tmp/MaedMax_7216
% See solution above
% 0.60/0.82
%------------------------------------------------------------------------------