TSTP Solution File: COL063-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL063-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n017.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 06:58:21 EDT 2022
% Result : Unsatisfiable 5.32s 5.51s
% Output : CNFRefutation 5.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 10 RR)
% Number of literals : 12 ( 11 equ; 9 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
file('/tmp/MaedMax_27505') ).
cnf(eq_1,axiom,
apply(X,Y) = apply(apply(t,Y),X),
file('/tmp/MaedMax_27505') ).
cnf(eq_2,negated_conjecture,
apply(apply(apply(X,f(X)),g(X)),h(X)) != apply(apply(h(X),g(X)),f(X)),
file('/tmp/MaedMax_27505') ).
cnf(eq_3,negated_conjecture,
apply(apply(apply(X,apply(Y,f(apply(apply(b,X),Y)))),g(apply(apply(b,X),Y))),h(apply(apply(b,X),Y))) != apply(apply(h(apply(apply(b,X),Y)),g(apply(apply(b,X),Y))),f(apply(apply(b,X),Y))),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_4,negated_conjecture,
apply(apply(apply(x144,apply(x145,apply(x90,f(apply(apply(b,apply(apply(b,x144),x145)),x90))))),g(apply(apply(b,apply(apply(b,x144),x145)),x90))),h(apply(apply(b,apply(apply(b,x144),x145)),x90))) != apply(apply(h(apply(apply(b,apply(apply(b,x144),x145)),x90)),g(apply(apply(b,apply(apply(b,x144),x145)),x90))),f(apply(apply(b,apply(apply(b,x144),x145)),x90))),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_5,negated_conjecture,
apply(apply(apply(x369,apply(x370,apply(x145,apply(x90,f(apply(apply(b,apply(apply(b,apply(apply(b,x369),x370)),x145)),x90)))))),g(apply(apply(b,apply(apply(b,apply(apply(b,x369),x370)),x145)),x90))),h(apply(apply(b,apply(apply(b,apply(apply(b,x369),x370)),x145)),x90))) != apply(apply(h(apply(apply(b,apply(apply(b,apply(apply(b,x369),x370)),x145)),x90)),g(apply(apply(b,apply(apply(b,apply(apply(b,x369),x370)),x145)),x90))),f(apply(apply(b,apply(apply(b,apply(apply(b,x369),x370)),x145)),x90))),
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_6,negated_conjecture,
apply(apply(apply(apply(x370,apply(x145,apply(x90,f(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x862)),x370)),x145)),x90))))),x862),g(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x862)),x370)),x145)),x90))),h(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x862)),x370)),x145)),x90))) != apply(apply(h(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x862)),x370)),x145)),x90)),g(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x862)),x370)),x145)),x90))),f(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x862)),x370)),x145)),x90))),
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_7,negated_conjecture,
apply(apply(apply(x145,apply(x90,f(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x2705)),b)),x145)),x90)))),apply(x2705,g(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x2705)),b)),x145)),x90)))),h(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x2705)),b)),x145)),x90))) != apply(apply(h(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x2705)),b)),x145)),x90)),g(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x2705)),b)),x145)),x90))),f(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x2705)),b)),x145)),x90))),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_8,negated_conjecture,
apply(apply(x90,f(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x2705)),b)),b)),x90))),apply(apply(x2705,g(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x2705)),b)),b)),x90))),h(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x2705)),b)),b)),x90)))) != apply(apply(h(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x2705)),b)),b)),x90)),g(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x2705)),b)),b)),x90))),f(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,x2705)),b)),b)),x90))),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_9,negated_conjecture,
apply(apply(x90,f(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),x90))),apply(h(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),x90)),g(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),x90)))) != apply(apply(h(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),x90)),g(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),x90))),f(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),x90))),
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_10,negated_conjecture,
apply(apply(h(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),t)),g(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),t))),f(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),t))) != apply(apply(h(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),t)),g(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),t))),f(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),t))),
inference(cp,[status(thm)],[eq_1,eq_9]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COL063-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n017.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 02:23:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.32/5.51 % SZS status Unsatisfiable
% 5.32/5.51 % SZS output start CNFRefutation for /tmp/MaedMax_27505
% See solution above
% 5.32/5.51
%------------------------------------------------------------------------------