TSTP Solution File: COL043-3 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL043-3 : TPTP v8.1.0. Bugfixed v2.3.0.
% 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 06:58:18 EDT 2022
% Result : Unsatisfiable 38.61s 38.84s
% Output : CNFRefutation 38.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 21 RR)
% Number of literals : 32 ( 31 equ; 19 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 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 : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
file('/tmp/MaedMax_20114') ).
cnf(eq_1,axiom,
apply(apply(apply(X,Y),Z),Y) = apply(apply(apply(h,X),Y),Z),
file('/tmp/MaedMax_20114') ).
cnf(eq_2,axiom,
apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b) = strong_fixed_point,
file('/tmp/MaedMax_20114') ).
cnf(eq_3,negated_conjecture,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
file('/tmp/MaedMax_20114') ).
cnf(eq_4,plain,
apply(Z,apply(Y,Z)) = apply(apply(apply(h,b),Z),Y),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_5,plain,
apply(apply(X,apply(Y,Z)),Y) = apply(apply(apply(h,apply(b,X)),Y),Z),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_6,plain,
apply(apply(apply(X,apply(Y,Z)),x102),Z) = apply(apply(apply(h,apply(apply(b,X),Y)),Z),x102),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_7,plain,
apply(X,apply(Y,X)) = apply(apply(apply(h,b),X),Y),
eq_4 ).
cnf(eq_8,plain,
apply(apply(apply(X,apply(Y,Z)),x3),Z) = apply(apply(apply(h,apply(apply(b,X),Y)),Z),x3),
eq_6 ).
cnf(eq_9,plain,
apply(X,apply(apply(Z,x102),Z)) = apply(apply(apply(h,apply(b,apply(b,X))),Z),x102),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_10,plain,
apply(apply(x101,Z),apply(Y,Z)) = apply(apply(apply(h,apply(apply(b,b),x101)),Z),Y),
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_11,plain,
apply(X,apply(apply(Y,Z),Y)) = apply(apply(apply(h,apply(b,apply(b,X))),Y),Z),
eq_9 ).
cnf(eq_12,plain,
apply(apply(X,Y),apply(Z,Y)) = apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),
eq_10 ).
cnf(eq_13,negated_conjecture,
apply(apply(apply(h,b),fixed_pt),strong_fixed_point) != apply(strong_fixed_point,fixed_pt),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_14,negated_conjecture,
apply(apply(apply(h,b),fixed_pt),apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b)) != apply(apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h),apply(b,apply(b,fixed_pt))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_2]),eq_2]),eq_0]),eq_0]) ).
cnf(eq_15,negated_conjecture,
apply(apply(apply(apply(apply(b,h),apply(b,b)),apply(apply(h,apply(apply(b,h),apply(b,b))),h)),apply(b,apply(b,fixed_pt))),h) != apply(apply(apply(h,b),fixed_pt),apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b)),
inference(cp,[status(thm)],[eq_8,eq_14]) ).
cnf(eq_16,negated_conjecture,
apply(apply(apply(h,b),fixed_pt),apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b)) != apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h),
inference(rw,[status(thm)],[eq_15,eq_0]) ).
cnf(eq_17,negated_conjecture,
apply(apply(apply(h,b),fixed_pt),strong_fixed_point) != apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h),
inference(rw,[status(thm)],[eq_16,eq_2]) ).
cnf(eq_18,negated_conjecture,
apply(apply(apply(b,apply(apply(apply(h,apply(apply(b,h),apply(b,b))),h),apply(b,apply(b,fixed_pt)))),h),apply(b,apply(b,fixed_pt))) != apply(apply(apply(h,b),fixed_pt),strong_fixed_point),
inference(cp,[status(thm)],[eq_8,eq_17]) ).
cnf(eq_19,negated_conjecture,
apply(apply(apply(apply(h,apply(apply(b,h),apply(b,b))),h),apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))) != apply(apply(apply(h,b),fixed_pt),strong_fixed_point),
inference(rw,[status(thm)],[eq_18,eq_0]) ).
cnf(eq_20,negated_conjecture,
apply(apply(apply(b,fixed_pt),strong_fixed_point),fixed_pt) != apply(apply(apply(apply(h,apply(apply(b,h),apply(b,b))),h),apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),
inference(cp,[status(thm)],[eq_1,eq_19]) ).
cnf(eq_21,negated_conjecture,
apply(apply(apply(apply(h,apply(apply(b,h),apply(b,b))),h),apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h),apply(b,apply(b,fixed_pt)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_2]),eq_0]),eq_0]),eq_0]) ).
cnf(eq_22,negated_conjecture,
apply(fixed_pt,apply(apply(apply(apply(apply(b,h),apply(b,b)),apply(apply(h,apply(apply(b,h),apply(b,b))),h)),apply(b,apply(b,fixed_pt))),h)) != apply(apply(apply(apply(h,apply(apply(b,h),apply(b,b))),h),apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),
inference(cp,[status(thm)],[eq_8,eq_21]) ).
cnf(eq_23,negated_conjecture,
apply(apply(apply(apply(h,apply(apply(b,h),apply(b,b))),h),apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h)),
inference(rw,[status(thm)],[eq_22,eq_0]) ).
cnf(eq_24,negated_conjecture,
apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h)),
inference(cp,[status(thm)],[eq_8,eq_23]) ).
cnf(eq_25,negated_conjecture,
apply(fixed_pt,apply(apply(apply(apply(h,apply(apply(b,h),apply(b,b))),h),apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt))))) != apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt)))),
inference(cp,[status(thm)],[eq_12,eq_24]) ).
cnf(eq_26,negated_conjecture,
apply(fixed_pt,apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt))))) != apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt)))),
inference(cp,[status(thm)],[eq_8,eq_25]) ).
cnf(eq_27,negated_conjecture,
apply(fixed_pt,apply(apply(apply(h,apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(h,apply(b,apply(b,fixed_pt))))) != apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt)))),
inference(cp,[status(thm)],[eq_12,eq_26]) ).
cnf(eq_28,negated_conjecture,
apply(apply(apply(h,apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(h,apply(b,apply(b,fixed_pt)))) != apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt)))),
inference(cp,[status(thm)],[eq_11,eq_27]) ).
cnf(eq_29,negated_conjecture,
apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt)))) != apply(apply(apply(h,apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(h,apply(b,apply(b,fixed_pt)))),
eq_28 ).
cnf(eq_30,negated_conjecture,
apply(apply(apply(h,apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(h,apply(b,apply(b,fixed_pt)))) != apply(apply(apply(h,apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(h,apply(b,apply(b,fixed_pt)))),
inference(cp,[status(thm)],[eq_12,eq_29]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COL043-3 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.04/0.12 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 03:04:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 38.61/38.84 % SZS status Unsatisfiable
% 38.61/38.84 % SZS output start CNFRefutation for /tmp/MaedMax_20114
% See solution above
% 38.61/38.84
%------------------------------------------------------------------------------