TSTP Solution File: COL065-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL065-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n013.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 06:58:23 EDT 2022
% Result : Unsatisfiable 9.92s 10.13s
% Output : CNFRefutation 9.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 12 RR)
% Number of literals : 14 ( 13 equ; 11 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 : 16 ( 16 usr; 11 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_15663') ).
cnf(eq_1,axiom,
apply(X,Y) = apply(apply(t,Y),X),
file('/tmp/MaedMax_15663') ).
cnf(eq_2,negated_conjecture,
apply(apply(apply(apply(X,f(X)),g(X)),h(X)),i(X)) != apply(apply(f(X),i(X)),apply(g(X),h(X))),
file('/tmp/MaedMax_15663') ).
cnf(eq_3,negated_conjecture,
apply(apply(apply(apply(X,apply(Y,f(apply(apply(b,X),Y)))),g(apply(apply(b,X),Y))),h(apply(apply(b,X),Y))),i(apply(apply(b,X),Y))) != apply(apply(f(apply(apply(b,X),Y)),i(apply(apply(b,X),Y))),apply(g(apply(apply(b,X),Y)),h(apply(apply(b,X),Y)))),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_4,negated_conjecture,
apply(apply(apply(apply(x74,apply(x359,apply(x360,f(apply(apply(b,x74),apply(apply(b,x359),x360)))))),g(apply(apply(b,x74),apply(apply(b,x359),x360)))),h(apply(apply(b,x74),apply(apply(b,x359),x360)))),i(apply(apply(b,x74),apply(apply(b,x359),x360)))) != apply(apply(f(apply(apply(b,x74),apply(apply(b,x359),x360))),i(apply(apply(b,x74),apply(apply(b,x359),x360)))),apply(g(apply(apply(b,x74),apply(apply(b,x359),x360))),h(apply(apply(b,x74),apply(apply(b,x359),x360))))),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_5,negated_conjecture,
apply(apply(apply(apply(x74,apply(x909,apply(x910,apply(x360,f(apply(apply(b,x74),apply(apply(b,apply(apply(b,x909),x910)),x360))))))),g(apply(apply(b,x74),apply(apply(b,apply(apply(b,x909),x910)),x360)))),h(apply(apply(b,x74),apply(apply(b,apply(apply(b,x909),x910)),x360)))),i(apply(apply(b,x74),apply(apply(b,apply(apply(b,x909),x910)),x360)))) != apply(apply(f(apply(apply(b,x74),apply(apply(b,apply(apply(b,x909),x910)),x360))),i(apply(apply(b,x74),apply(apply(b,apply(apply(b,x909),x910)),x360)))),apply(g(apply(apply(b,x74),apply(apply(b,apply(apply(b,x909),x910)),x360))),h(apply(apply(b,x74),apply(apply(b,apply(apply(b,x909),x910)),x360))))),
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_6,negated_conjecture,
apply(apply(apply(apply(x74,apply(apply(x910,apply(x360,f(apply(apply(b,x74),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360))))),x2402)),g(apply(apply(b,x74),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360)))),h(apply(apply(b,x74),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360)))),i(apply(apply(b,x74),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360)))) != apply(apply(f(apply(apply(b,x74),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360))),i(apply(apply(b,x74),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360)))),apply(g(apply(apply(b,x74),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360))),h(apply(apply(b,x74),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360))))),
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_7,negated_conjecture,
apply(apply(apply(apply(x910,apply(x360,f(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360))))),x2402),apply(g(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360))),h(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360))))),i(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360)))) != apply(apply(f(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360))),i(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360)))),apply(g(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360))),h(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x2402)),x910)),x360))))),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_8,negated_conjecture,
apply(apply(apply(x360,f(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x32090)),b)),x360)))),apply(x32090,apply(g(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x32090)),b)),x360))),h(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x32090)),b)),x360)))))),i(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x32090)),b)),x360)))) != apply(apply(f(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x32090)),b)),x360))),i(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x32090)),b)),x360)))),apply(g(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x32090)),b)),x360))),h(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,x32090)),b)),x360))))),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_9,negated_conjecture,
apply(apply(apply(x360,f(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),x360)))),apply(x127599,apply(x127600,apply(g(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),x360))),h(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),x360))))))),i(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),x360)))) != apply(apply(f(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),x360))),i(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),x360)))),apply(g(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),x360))),h(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),x360))))),
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_10,negated_conjecture,
apply(apply(apply(x127599,apply(x127600,apply(g(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),t))),h(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),t)))))),f(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),t)))),i(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),t)))) != apply(apply(f(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),t))),i(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),t)))),apply(g(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),t))),h(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,x127599),x127600))),b)),t))))),
inference(cp,[status(thm)],[eq_1,eq_9]) ).
cnf(eq_11,negated_conjecture,
apply(apply(x127600,apply(g(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),x127600))),b)),t))),h(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),x127600))),b)),t))))),apply(f(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),x127600))),b)),t))),i(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),x127600))),b)),t))))) != apply(apply(f(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),x127600))),b)),t))),i(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),x127600))),b)),t)))),apply(g(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),x127600))),b)),t))),h(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),x127600))),b)),t))))),
inference(cp,[status(thm)],[eq_0,eq_10]) ).
cnf(eq_12,negated_conjecture,
apply(apply(f(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t))),i(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t)))),apply(g(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t))),h(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t))))) != apply(apply(f(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t))),i(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t)))),apply(g(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t))),h(apply(apply(b,b),apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t))))),
inference(cp,[status(thm)],[eq_1,eq_11]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : COL065-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : run_maedmax %d %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Jul 26 02:56:15 EDT 2022
% 0.11/0.33 % CPUTime :
% 9.92/10.13 % SZS status Unsatisfiable
% 9.92/10.13 % SZS output start CNFRefutation for /tmp/MaedMax_15663
% See solution above
% 9.92/10.13
%------------------------------------------------------------------------------