TSTP Solution File: COL024-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL024-1 : 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 06:58:15 EDT 2022
% Result : Unsatisfiable 0.60s 0.82s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 6 RR)
% Number of literals : 10 ( 9 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
file('/tmp/MaedMax_1341') ).
cnf(eq_1,axiom,
apply(X,X) = apply(m,X),
file('/tmp/MaedMax_1341') ).
cnf(eq_2,negated_conjecture,
X != apply(combinator,X),
file('/tmp/MaedMax_1341') ).
cnf(eq_3,plain,
apply(x100,apply(m,X)) = apply(apply(apply(b,x100),X),X),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_4,plain,
apply(X,apply(Y,Y)) = apply(X,apply(m,Y)),
inference(rw,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_5,negated_conjecture,
apply(combinator,apply(m,Y)) != apply(Y,Y),
inference(cp,[status(thm)],[eq_4,eq_2]) ).
cnf(eq_6,negated_conjecture,
apply(X,X) != apply(combinator,apply(m,X)),
eq_5 ).
cnf(eq_7,negated_conjecture,
apply(X,apply(Y,apply(apply(b,X),Y))) != apply(combinator,apply(m,apply(apply(b,X),Y))),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_8,negated_conjecture,
apply(X,apply(Y,apply(apply(b,X),Y))) != apply(X,apply(Y,apply(apply(b,X),Y))),
eq_7 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL024-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 03:12:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.60/0.82 % SZS status Unsatisfiable
% 0.60/0.82 % SZS output start CNFRefutation for /tmp/MaedMax_1341
% See solution above
% 0.60/0.82
%------------------------------------------------------------------------------