TSTP Solution File: COL006-7 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL006-7 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n026.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 36.33s 36.58s
% Output : CNFRefutation 36.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of clauses : 33 ( 33 unt; 0 nHn; 14 RR)
% Number of literals : 33 ( 32 equ; 11 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 47 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(apply(X,Y),apply(Z,Y)) = apply(apply(apply(s,X),Z),Y),
file('/tmp/MaedMax_15735') ).
cnf(eq_1,axiom,
X = apply(apply(k,X),Y),
file('/tmp/MaedMax_15735') ).
cnf(eq_2,axiom,
apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k)) = strong_fixed_point,
file('/tmp/MaedMax_15735') ).
cnf(eq_3,negated_conjecture,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
file('/tmp/MaedMax_15735') ).
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(x100,Y),apply(apply(X,Y),apply(Z,Y))) = apply(apply(apply(s,x100),apply(apply(s,X),Z)),Y),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_8,plain,
apply(strong_fixed_point,x102) = apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k)))),x102),apply(apply(apply(s,apply(k,s)),k),x102)),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_9,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_10,plain,
apply(apply(X,Y),apply(apply(Z,X),Y)) = apply(apply(apply(apply(s,s),Z),X),Y),
eq_9 ).
cnf(eq_11,plain,
apply(apply(X,Y),apply(apply(Z,Y),apply(x3,Y))) = apply(apply(apply(s,X),apply(apply(s,Z),x3)),Y),
eq_7 ).
cnf(eq_12,plain,
apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(apply(apply(s,apply(k,s)),k),X)) = apply(strong_fixed_point,X),
inference(rw,[status(thm)],[eq_8,eq_1]) ).
cnf(eq_13,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_14,plain,
X = apply(apply(apply(s,k),Y),X),
eq_4 ).
cnf(eq_15,plain,
apply(X,apply(Y,Z)) = apply(apply(apply(s,apply(k,X)),Y),Z),
eq_6 ).
cnf(eq_16,negated_conjecture,
apply(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),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(apply(s,s),apply(apply(s,k),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_17,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_10]) ).
cnf(eq_18,plain,
apply(apply(apply(apply(s,s),Z),apply(s,k)),Y) = apply(apply(Z,apply(s,k)),Y),
inference(cp,[status(thm)],[eq_10,eq_14]) ).
cnf(eq_19,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_15,eq_13]) ).
cnf(eq_20,plain,
apply(apply(X,apply(s,k)),Y) = apply(apply(apply(apply(s,s),X),apply(s,k)),Y),
eq_18 ).
cnf(eq_21,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_19,eq_1]) ).
cnf(eq_22,plain,
apply(apply(X,Y),apply(apply(Z,Y),apply(X,Y))) = apply(apply(apply(apply(s,s),apply(s,Z)),X),Y),
eq_17 ).
cnf(eq_23,negated_conjecture,
apply(fixed_pt,apply(apply(apply(s,apply(k,apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(k,apply(apply(s,s),apply(s,k))),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(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k)),fixed_pt),
inference(cp,[status(thm)],[eq_11,eq_16]) ).
cnf(eq_24,negated_conjecture,
apply(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),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,s),apply(s,k))),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k)),fixed_pt)),
inference(rw,[status(thm)],[eq_23,eq_1]) ).
cnf(eq_25,negated_conjecture,
apply(strong_fixed_point,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)],[eq_24,eq_2]),eq_15]),eq_15]) ).
cnf(eq_26,negated_conjecture,
apply(apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))),apply(apply(apply(s,apply(k,s)),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_12,eq_25]) ).
cnf(eq_27,negated_conjecture,
apply(apply(apply(apply(s,s),apply(apply(s,k),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)],[eq_26,eq_15]) ).
cnf(eq_28,negated_conjecture,
apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))),apply(apply(apply(apply(s,k),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(cp,[status(thm)],[eq_10,eq_27]) ).
cnf(eq_29,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_28,eq_14]) ).
cnf(eq_30,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_22,eq_29]) ).
cnf(eq_31,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_30,eq_21]),eq_21]),eq_21]),eq_20]),eq_15]),eq_21]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL006-7 : TPTP v8.1.0. Released v2.1.0.
% 0.00/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n026.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 03:18:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 36.33/36.58 % SZS status Unsatisfiable
% 36.33/36.58 % SZS output start CNFRefutation for /tmp/MaedMax_15735
% See solution above
% 36.33/36.58
%------------------------------------------------------------------------------