TSTP Solution File: COL023-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL023-1 : 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 1.19s 1.37s
% Output : CNFRefutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 8 RR)
% Number of literals : 13 ( 12 equ; 7 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
file('/tmp/MaedMax_6788') ).
cnf(eq_1,axiom,
apply(apply(apply(X,Y),Z),Y) = apply(apply(apply(n,X),Z),Y),
file('/tmp/MaedMax_6788') ).
cnf(eq_2,negated_conjecture,
X != apply(combinator,X),
file('/tmp/MaedMax_6788') ).
cnf(eq_3,plain,
apply(apply(apply(n,b),Z),Y) = apply(Y,apply(Z,Y)),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_4,plain,
apply(X,apply(Y,X)) = apply(apply(apply(n,b),Y),X),
eq_3 ).
cnf(eq_5,negated_conjecture,
apply(apply(apply(b,combinator),Y),Z) != apply(Y,Z),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_6,negated_conjecture,
apply(X,Y) != apply(combinator,apply(X,Y)),
inference(rw,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_7,plain,
apply(apply(X,apply(Y,X)),Y) = apply(apply(apply(n,apply(n,b)),X),Y),
inference(cp,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_8,negated_conjecture,
apply(combinator,apply(apply(apply(b,X),Y),Z)) != apply(X,apply(Y,Z)),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_9,negated_conjecture,
apply(combinator,apply(apply(apply(n,apply(n,b)),apply(b,x100)),Y)) != apply(x100,apply(apply(Y,apply(b,x100)),Y)),
inference(cp,[status(thm)],[eq_7,eq_8]) ).
cnf(eq_10,negated_conjecture,
apply(X,apply(apply(Y,apply(b,X)),Y)) != apply(combinator,apply(apply(apply(n,apply(n,b)),apply(b,X)),Y)),
eq_9 ).
cnf(eq_11,negated_conjecture,
apply(X,apply(apply(Y,apply(b,X)),Y)) != apply(X,apply(apply(Y,apply(b,X)),Y)),
eq_10 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COL023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : run_maedmax %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Jul 26 03:17:43 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.19/1.37 % SZS status Unsatisfiable
% 1.19/1.37 % SZS output start CNFRefutation for /tmp/MaedMax_6788
% See solution above
% 1.19/1.37
%------------------------------------------------------------------------------