TSTP Solution File: COL006-5 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL006-5 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n015.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 31.38s 31.62s
% Output : CNFRefutation 31.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 15 RR)
% Number of literals : 35 ( 34 equ; 13 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 : 50 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(apply(X,Y),apply(Z,Y)) = apply(apply(apply(s,X),Z),Y),
file('/tmp/MaedMax_32640') ).
cnf(eq_1,axiom,
X = apply(apply(k,X),Y),
file('/tmp/MaedMax_32640') ).
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(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),k))) = strong_fixed_point,
file('/tmp/MaedMax_32640') ).
cnf(eq_3,negated_conjecture,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
file('/tmp/MaedMax_32640') ).
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(apply(apply(apply(s,X),Z),Y),apply(x102,apply(Z,Y))) = apply(apply(apply(s,apply(X,Y)),x102),apply(Z,Y)),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,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_7,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_8,plain,
apply(apply(apply(apply(s,s),Z),Y),x102) = apply(apply(Y,x102),apply(apply(Z,Y),x102)),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_9,plain,
apply(apply(X,Y),apply(apply(Z,X),Y)) = apply(apply(apply(apply(s,s),Z),X),Y),
eq_8 ).
cnf(eq_10,plain,
apply(apply(apply(X,Y),apply(Z,Y)),apply(x3,Y)) = apply(apply(apply(s,apply(apply(s,X),Z)),x3),Y),
eq_7 ).
cnf(eq_11,plain,
apply(apply(apply(s,apply(X,Y)),Z),apply(x3,Y)) = apply(apply(apply(apply(s,X),x3),Y),apply(Z,apply(x3,Y))),
eq_5 ).
cnf(eq_12,plain,
X = apply(apply(apply(s,k),Y),X),
eq_4 ).
cnf(eq_13,plain,
apply(X,apply(Y,Z)) = apply(apply(apply(s,apply(k,X)),Y),Z),
eq_6 ).
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(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),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(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),k))),fixed_pt)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_3,eq_2]),eq_2]) ).
cnf(eq_15,plain,
apply(apply(Z,Y),apply(apply(X,Y),apply(Z,Y))) = apply(apply(apply(apply(s,s),apply(s,X)),Z),Y),
inference(cp,[status(thm)],[eq_0,eq_9]) ).
cnf(eq_16,plain,
apply(X,apply(x103,X)) = apply(apply(apply(s,apply(apply(s,k),x102)),x103),X),
inference(cp,[status(thm)],[eq_1,eq_10]) ).
cnf(eq_17,plain,
apply(apply(apply(apply(s,s),Z),apply(s,k)),Y) = apply(apply(Z,apply(s,k)),Y),
inference(cp,[status(thm)],[eq_9,eq_12]) ).
cnf(eq_18,plain,
apply(apply(X,apply(Y,Z)),apply(x103,apply(Y,Z))) = apply(apply(apply(s,apply(apply(k,X),Z)),x103),apply(Y,Z)),
inference(cp,[status(thm)],[eq_13,eq_11]) ).
cnf(eq_19,plain,
apply(apply(X,apply(s,k)),Y) = apply(apply(apply(apply(s,s),X),apply(s,k)),Y),
eq_17 ).
cnf(eq_20,plain,
apply(apply(X,apply(Y,Z)),apply(x3,apply(Y,Z))) = apply(apply(apply(s,X),x3),apply(Y,Z)),
inference(rw,[status(thm)],[eq_18,eq_1]) ).
cnf(eq_21,plain,
apply(apply(X,Y),apply(apply(Z,Y),apply(X,Y))) = apply(apply(apply(apply(s,s),apply(s,Z)),X),Y),
eq_15 ).
cnf(eq_22,plain,
apply(X,apply(Y,X)) = apply(apply(apply(s,apply(apply(s,k),Z)),Y),X),
eq_16 ).
cnf(eq_23,negated_conjecture,
apply(fixed_pt,apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(apply(s,apply(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),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(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),k))),fixed_pt),
inference(cp,[status(thm)],[eq_13,eq_14]) ).
cnf(eq_24,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(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),k))),fixed_pt) != apply(fixed_pt,apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(apply(s,apply(k,apply(apply(s,s),apply(s,k)))),apply(apply(s,apply(k,s)),k)),fixed_pt))),
eq_23 ).
cnf(eq_25,negated_conjecture,
apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_13]),eq_13]),eq_13]),eq_13]),eq_13]) ).
cnf(eq_26,negated_conjecture,
apply(fixed_pt,apply(apply(apply(k,apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))),apply(k,apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))))),apply(apply(apply(s,k),k),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))))) != apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))),
inference(cp,[status(thm)],[eq_10,eq_25]) ).
cnf(eq_27,negated_conjecture,
apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_1]),eq_12]) ).
cnf(eq_28,negated_conjecture,
apply(fixed_pt,apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))) != apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))),
inference(cp,[status(thm)],[eq_0,eq_27]) ).
cnf(eq_29,negated_conjecture,
apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
eq_28 ).
cnf(eq_30,negated_conjecture,
apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))),apply(apply(apply(s,k),k),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))))) != apply(fixed_pt,apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
inference(cp,[status(thm)],[eq_22,eq_29]) ).
cnf(eq_31,negated_conjecture,
apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
inference(rw,[status(thm)],[eq_30,eq_12]) ).
cnf(eq_32,negated_conjecture,
apply(apply(apply(s,apply(k,fixed_pt)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))),apply(apply(k,apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))),apply(apply(s,apply(k,fixed_pt)),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))))) != apply(fixed_pt,apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
inference(cp,[status(thm)],[eq_21,eq_31]) ).
cnf(eq_33,negated_conjecture,
apply(fixed_pt,apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_20]),eq_20]),eq_20]),eq_19]),eq_13]),eq_20]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COL006-5 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n015.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 03:12:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 31.38/31.62 % SZS status Unsatisfiable
% 31.38/31.62 % SZS output start CNFRefutation for /tmp/MaedMax_32640
% See solution above
% 31.38/31.62
%------------------------------------------------------------------------------