TSTP Solution File: COL062-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL062-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n009.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 5.68s 5.89s
% Output : CNFRefutation 5.68s
% 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 : 13 ( 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_12829') ).
cnf(eq_1,axiom,
apply(X,Y) = apply(apply(t,Y),X),
file('/tmp/MaedMax_12829') ).
cnf(eq_2,negated_conjecture,
apply(apply(apply(X,f(X)),g(X)),h(X)) != apply(apply(f(X),h(X)),g(X)),
file('/tmp/MaedMax_12829') ).
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(f(apply(apply(b,X),Y)),h(apply(apply(b,X),Y))),g(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(f(apply(apply(b,apply(apply(b,x144),x145)),x90)),h(apply(apply(b,apply(apply(b,x144),x145)),x90))),g(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(apply(x145,apply(x90,f(apply(apply(b,apply(apply(b,apply(t,x372)),x145)),x90)))),x372),g(apply(apply(b,apply(apply(b,apply(t,x372)),x145)),x90))),h(apply(apply(b,apply(apply(b,apply(t,x372)),x145)),x90))) != apply(apply(f(apply(apply(b,apply(apply(b,apply(t,x372)),x145)),x90)),h(apply(apply(b,apply(apply(b,apply(t,x372)),x145)),x90))),g(apply(apply(b,apply(apply(b,apply(t,x372)),x145)),x90))),
inference(cp,[status(thm)],[eq_1,eq_4]) ).
cnf(eq_6,negated_conjecture,
apply(apply(apply(x90,f(apply(apply(b,apply(apply(b,apply(t,x905)),b)),x90))),apply(x905,g(apply(apply(b,apply(apply(b,apply(t,x905)),b)),x90)))),h(apply(apply(b,apply(apply(b,apply(t,x905)),b)),x90))) != apply(apply(f(apply(apply(b,apply(apply(b,apply(t,x905)),b)),x90)),h(apply(apply(b,apply(apply(b,apply(t,x905)),b)),x90))),g(apply(apply(b,apply(apply(b,apply(t,x905)),b)),x90))),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_7,negated_conjecture,
apply(apply(apply(x90,f(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x3089),x3090))),b)),x90))),apply(x3089,apply(x3090,g(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x3089),x3090))),b)),x90))))),h(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x3089),x3090))),b)),x90))) != apply(apply(f(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x3089),x3090))),b)),x90)),h(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x3089),x3090))),b)),x90))),g(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x3089),x3090))),b)),x90))),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_8,negated_conjecture,
apply(apply(apply(x3089,apply(x3090,g(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x3089),x3090))),b)),t)))),f(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x3089),x3090))),b)),t))),h(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x3089),x3090))),b)),t))) != apply(apply(f(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x3089),x3090))),b)),t)),h(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x3089),x3090))),b)),t))),g(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x3089),x3090))),b)),t))),
inference(cp,[status(thm)],[eq_1,eq_7]) ).
cnf(eq_9,negated_conjecture,
apply(apply(x3090,g(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),x3090))),b)),t))),apply(f(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),x3090))),b)),t)),h(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),x3090))),b)),t)))) != apply(apply(f(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),x3090))),b)),t)),h(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),x3090))),b)),t))),g(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),x3090))),b)),t))),
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_10,negated_conjecture,
apply(apply(f(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t)),h(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t))),g(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t))) != apply(apply(f(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t)),h(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t))),g(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t))),
inference(cp,[status(thm)],[eq_1,eq_9]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL062-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run_maedmax %d %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Jul 26 03:02:51 EDT 2022
% 0.14/0.34 % CPUTime :
% 5.68/5.89 % SZS status Unsatisfiable
% 5.68/5.89 % SZS output start CNFRefutation for /tmp/MaedMax_12829
% See solution above
% 5.68/5.89
%------------------------------------------------------------------------------