TSTP Solution File: COL026-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL026-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n024.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 2.54s 2.72s
% Output : CNFRefutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 7 RR)
% Number of literals : 12 ( 11 equ; 6 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 : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
file('/tmp/MaedMax_8587') ).
cnf(eq_1,axiom,
apply(apply(X,Y),Y) = apply(apply(w1,Y),X),
file('/tmp/MaedMax_8587') ).
cnf(eq_2,negated_conjecture,
X != apply(combinator,X),
file('/tmp/MaedMax_8587') ).
cnf(eq_3,plain,
apply(apply(X,apply(Y,Z)),Z) = apply(apply(w1,Z),apply(apply(b,X),Y)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_4,negated_conjecture,
apply(apply(apply(b,combinator),Y),Z) != apply(Y,Z),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_5,negated_conjecture,
apply(X,Y) != apply(combinator,apply(X,Y)),
inference(rw,[status(thm)],[eq_4,eq_0]) ).
cnf(eq_6,plain,
apply(X,apply(apply(x101,Z),Z)) = apply(apply(w1,Z),apply(apply(b,apply(b,X)),x101)),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_7,plain,
apply(X,apply(apply(Y,Z),Z)) = apply(apply(w1,Z),apply(apply(b,apply(b,X)),Y)),
eq_6 ).
cnf(eq_8,negated_conjecture,
apply(combinator,apply(apply(w1,Z),apply(apply(b,apply(b,X)),Y))) != apply(X,apply(apply(Y,Z),Z)),
inference(cp,[status(thm)],[eq_7,eq_5]) ).
cnf(eq_9,negated_conjecture,
apply(X,apply(apply(Y,Z),Z)) != apply(combinator,apply(apply(w1,Z),apply(apply(b,apply(b,X)),Y))),
eq_8 ).
cnf(eq_10,negated_conjecture,
apply(X,apply(apply(Y,Z),Z)) != apply(X,apply(apply(Y,Z),Z)),
eq_9 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL026-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 03:07:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.54/2.72 % SZS status Unsatisfiable
% 2.54/2.72 % SZS output start CNFRefutation for /tmp/MaedMax_8587
% See solution above
% 2.54/2.72
%------------------------------------------------------------------------------