TSTP Solution File: COL033-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n020.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 06:58:16 EDT 2022
% Result : Unsatisfiable 0.94s 1.14s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 5 RR)
% Number of literals : 11 ( 10 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
file('/tmp/MaedMax_12621') ).
cnf(eq_1,axiom,
apply(X,apply(Y,Y)) = apply(apply(l,X),Y),
file('/tmp/MaedMax_12621') ).
cnf(eq_2,axiom,
apply(X,X) = apply(m,X),
file('/tmp/MaedMax_12621') ).
cnf(eq_3,negated_conjecture,
apply(X,f(X)) != apply(f(X),apply(X,f(X))),
file('/tmp/MaedMax_12621') ).
cnf(eq_4,plain,
apply(x100,apply(m,X)) = apply(apply(l,x100),X),
inference(cp,[status(thm)],[eq_2,eq_1]) ).
cnf(eq_5,plain,
apply(X,apply(m,Y)) = apply(apply(l,X),Y),
eq_4 ).
cnf(eq_6,negated_conjecture,
apply(f(apply(apply(b,X),Y)),apply(X,apply(Y,f(apply(apply(b,X),Y))))) != apply(apply(apply(b,X),Y),f(apply(apply(b,X),Y))),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_7,negated_conjecture,
apply(X,apply(Y,f(apply(apply(b,X),Y)))) != apply(f(apply(apply(b,X),Y)),apply(X,apply(Y,f(apply(apply(b,X),Y))))),
inference(rw,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_8,plain,
apply(X,apply(m,apply(l,X))) = apply(m,apply(l,X)),
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_9,negated_conjecture,
apply(m,apply(l,f(apply(apply(b,m),l)))) != apply(m,apply(l,f(apply(apply(b,m),l)))),
inference(cp,[status(thm)],[eq_8,eq_7]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COL033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.11/0.33 % Computer : n020.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 03:02:39 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.94/1.14 % SZS status Unsatisfiable
% 0.94/1.14 % SZS output start CNFRefutation for /tmp/MaedMax_12621
% See solution above
% 0.94/1.14
%------------------------------------------------------------------------------