TSTP Solution File: COL020-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL020-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n018.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 06:58:14 EDT 2022
% Result : Unsatisfiable 0.91s 1.13s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(apply(X,Y),apply(Z,Y)) = apply(apply(apply(s,X),Z),Y),
file('/tmp/MaedMax_26295') ).
cnf(eq_1,axiom,
apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
file('/tmp/MaedMax_26295') ).
cnf(eq_2,axiom,
apply(apply(X,Y),Z) = apply(apply(apply(c,X),Z),Y),
file('/tmp/MaedMax_26295') ).
cnf(eq_3,negated_conjecture,
X != apply(combinator,X),
file('/tmp/MaedMax_26295') ).
cnf(eq_4,plain,
apply(apply(apply(s,apply(c,x100)),Z),Y) = apply(apply(x100,apply(Z,Y)),Y),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_5,plain,
apply(apply(X,apply(Y,Z)),Z) = apply(apply(apply(s,apply(c,X)),Y),Z),
eq_4 ).
cnf(eq_6,negated_conjecture,
apply(apply(apply(b,combinator),Y),Z) != apply(Y,Z),
inference(cp,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_7,negated_conjecture,
apply(X,Y) != apply(combinator,apply(X,Y)),
inference(rw,[status(thm)],[eq_6,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_1,eq_7]) ).
cnf(eq_9,negated_conjecture,
apply(combinator,apply(apply(apply(s,apply(c,apply(b,x100))),Y),Z)) != apply(x100,apply(apply(Y,Z),Z)),
inference(cp,[status(thm)],[eq_5,eq_8]) ).
cnf(eq_10,negated_conjecture,
apply(X,apply(apply(Y,Z),Z)) != apply(combinator,apply(apply(apply(s,apply(c,apply(b,X))),Y),Z)),
eq_9 ).
cnf(eq_11,negated_conjecture,
apply(X,apply(apply(Y,Z),Z)) != apply(X,apply(apply(Y,Z),Z)),
eq_10 ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : COL020-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n018.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 03:13:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.91/1.13 % SZS status Unsatisfiable
% 0.91/1.13 % SZS output start CNFRefutation for /tmp/MaedMax_26295
% See solution above
% 0.91/1.13
%------------------------------------------------------------------------------