TSTP Solution File: COL006-6 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL006-6 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n005.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 06:58:12 EDT 2022
% Result : Unsatisfiable 6.02s 6.24s
% Output : CNFRefutation 6.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 11 RR)
% Number of literals : 21 ( 20 equ; 9 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 24 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(apply(X,Y),apply(Z,Y)) = apply(apply(apply(s,X),Z),Y),
file('/tmp/MaedMax_19017') ).
cnf(eq_1,axiom,
X = apply(apply(k,X),Y),
file('/tmp/MaedMax_19017') ).
cnf(eq_2,axiom,
apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))) = strong_fixed_point,
file('/tmp/MaedMax_19017') ).
cnf(eq_3,negated_conjecture,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
file('/tmp/MaedMax_19017') ).
cnf(eq_4,plain,
X = apply(apply(apply(s,k),x102),X),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_5,plain,
apply(X,apply(x102,Y)) = apply(apply(apply(s,apply(k,X)),x102),Y),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_6,plain,
apply(apply(apply(X,Y),apply(Z,Y)),apply(x102,Y)) = apply(apply(apply(s,apply(apply(s,X),Z)),x102),Y),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_7,plain,
apply(apply(x100,Y),X) = apply(apply(apply(s,x100),apply(k,X)),Y),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_8,plain,
apply(apply(apply(X,Y),apply(Z,Y)),apply(x3,Y)) = apply(apply(apply(s,apply(apply(s,X),Z)),x3),Y),
eq_6 ).
cnf(eq_9,plain,
apply(apply(X,Y),Z) = apply(apply(apply(s,X),apply(k,Z)),Y),
eq_7 ).
cnf(eq_10,plain,
X = apply(apply(apply(s,k),Y),X),
eq_4 ).
cnf(eq_11,plain,
apply(X,apply(Y,Z)) = apply(apply(apply(s,apply(k,X)),Y),Z),
eq_5 ).
cnf(eq_12,negated_conjecture,
apply(apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))),fixed_pt) != apply(fixed_pt,apply(apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))),fixed_pt)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_3,eq_2]),eq_2]) ).
cnf(eq_13,negated_conjecture,
apply(fixed_pt,apply(apply(apply(apply(s,s),apply(s,apply(apply(s,apply(k,s)),k))),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),fixed_pt)) != apply(apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))),fixed_pt),
inference(cp,[status(thm)],[eq_0,eq_12]) ).
cnf(eq_14,negated_conjecture,
apply(apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))),fixed_pt) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(s,apply(apply(s,apply(k,s)),k))),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),fixed_pt)),
eq_13 ).
cnf(eq_15,negated_conjecture,
apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(s,apply(k,fixed_pt)),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(s,apply(apply(s,apply(k,s)),k))),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),fixed_pt)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_11]),eq_9]),eq_11]) ).
cnf(eq_16,negated_conjecture,
apply(apply(apply(k,apply(apply(s,apply(k,fixed_pt)),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(k,apply(apply(s,apply(k,fixed_pt)),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))),apply(apply(apply(s,k),k),apply(apply(s,apply(k,fixed_pt)),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(s,apply(apply(s,apply(k,s)),k))),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),fixed_pt)),
inference(cp,[status(thm)],[eq_8,eq_15]) ).
cnf(eq_17,negated_conjecture,
apply(fixed_pt,apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(s,apply(k,fixed_pt)),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(s,apply(apply(s,apply(k,s)),k))),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),fixed_pt)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_1]),eq_10]),eq_11]) ).
cnf(eq_18,negated_conjecture,
apply(fixed_pt,apply(apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))),fixed_pt)) != apply(fixed_pt,apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(s,apply(k,fixed_pt)),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))),
inference(cp,[status(thm)],[eq_0,eq_17]) ).
cnf(eq_19,negated_conjecture,
apply(fixed_pt,apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(s,apply(k,fixed_pt)),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))) != apply(fixed_pt,apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(s,apply(k,fixed_pt)),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_11]),eq_9]),eq_11]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COL006-6 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.11 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n005.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 03:04:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.02/6.24 % SZS status Unsatisfiable
% 6.02/6.24 % SZS output start CNFRefutation for /tmp/MaedMax_19017
% See solution above
% 6.02/6.24
%------------------------------------------------------------------------------