TSTP Solution File: COL003-13 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL003-13 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n008.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 06:58:09 EDT 2022
% Result : Unsatisfiable 1.16s 1.37s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 12 RR)
% Number of literals : 24 ( 23 equ; 9 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
file('/tmp/MaedMax_25014') ).
cnf(eq_1,axiom,
apply(apply(X,Y),Y) = apply(apply(w,X),Y),
file('/tmp/MaedMax_25014') ).
cnf(eq_2,axiom,
apply(apply(b,apply(w,w)),apply(apply(b,apply(apply(b,w),b)),b)) = strong_fixed_point,
file('/tmp/MaedMax_25014') ).
cnf(eq_3,negated_conjecture,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
file('/tmp/MaedMax_25014') ).
cnf(eq_4,plain,
apply(strong_fixed_point,x102) = apply(apply(w,w),apply(apply(apply(b,apply(apply(b,w),b)),b),x102)),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_5,plain,
apply(apply(apply(w,b),Y),x102) = apply(Y,apply(Y,x102)),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_6,plain,
apply(x100,apply(apply(X,Y),Y)) = apply(apply(apply(b,x100),apply(w,X)),Y),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_7,plain,
apply(apply(Y,Y),Y) = apply(apply(w,w),Y),
inference(cp,[status(thm)],[eq_1,eq_1]) ).
cnf(eq_8,plain,
apply(apply(apply(X,Y),Y),Y) = apply(apply(w,apply(w,X)),Y),
inference(cp,[status(thm)],[eq_1,eq_1]) ).
cnf(eq_9,plain,
apply(apply(apply(apply(b,w),Y),Z),x101) = apply(apply(apply(Y,Z),x101),x101),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_10,plain,
apply(apply(w,w),apply(w,apply(b,apply(b,X)))) = apply(strong_fixed_point,X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_0]),eq_0]) ).
cnf(eq_11,plain,
apply(X,apply(X,Y)) = apply(apply(apply(w,b),X),Y),
eq_5 ).
cnf(eq_12,plain,
apply(apply(X,X),X) = apply(apply(w,w),X),
eq_7 ).
cnf(eq_13,plain,
apply(X,apply(apply(Y,Z),Z)) = apply(X,apply(apply(w,Y),Z)),
inference(rw,[status(thm)],[eq_6,eq_0]) ).
cnf(eq_14,plain,
apply(apply(apply(X,Y),Z),Z) = apply(apply(w,apply(X,Y)),Z),
inference(rw,[status(thm)],[eq_9,eq_0]) ).
cnf(eq_15,negated_conjecture,
apply(apply(w,w),apply(w,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w,w),apply(w,apply(b,apply(b,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_3,eq_2]),eq_0]),eq_0]),eq_0]),eq_2]),eq_0]),eq_0]),eq_0]) ).
cnf(eq_16,negated_conjecture,
apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(w,b),b),fixed_pt)))) != apply(apply(w,w),apply(w,apply(b,apply(b,fixed_pt)))),
inference(cp,[status(thm)],[eq_11,eq_15]) ).
cnf(eq_17,negated_conjecture,
apply(apply(w,w),apply(w,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(w,b),b),fixed_pt)))),
eq_16 ).
cnf(eq_18,negated_conjecture,
apply(apply(apply(w,apply(b,apply(b,fixed_pt))),apply(w,apply(b,apply(b,fixed_pt)))),apply(w,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(w,b),b),fixed_pt)))),
inference(cp,[status(thm)],[eq_12,eq_17]) ).
cnf(eq_19,negated_conjecture,
apply(apply(w,apply(w,apply(b,apply(b,fixed_pt)))),apply(w,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_14]),eq_11]),eq_10]) ).
cnf(eq_20,negated_conjecture,
apply(apply(apply(apply(b,apply(b,fixed_pt)),apply(w,apply(b,apply(b,fixed_pt)))),apply(w,apply(b,apply(b,fixed_pt)))),apply(w,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
inference(cp,[status(thm)],[eq_8,eq_19]) ).
cnf(eq_21,negated_conjecture,
apply(fixed_pt,apply(apply(w,apply(w,apply(b,apply(b,fixed_pt)))),apply(w,apply(b,apply(b,fixed_pt))))) != apply(fixed_pt,apply(apply(w,w),apply(w,apply(b,apply(b,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)],[inference(rw,[status(thm)],[eq_20,eq_0]),eq_0]),eq_14]),eq_2]),eq_0]),eq_0]),eq_0]) ).
cnf(eq_22,negated_conjecture,
apply(fixed_pt,apply(apply(w,apply(w,apply(b,apply(b,fixed_pt)))),apply(w,apply(b,apply(b,fixed_pt))))) != apply(fixed_pt,apply(apply(w,apply(w,apply(b,apply(b,fixed_pt)))),apply(w,apply(b,apply(b,fixed_pt))))),
inference(cp,[status(thm)],[eq_13,eq_21]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL003-13 : TPTP v8.1.0. Released v2.1.0.
% 0.12/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n008.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 03:10:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.16/1.37 % SZS status Unsatisfiable
% 1.16/1.37 % SZS output start CNFRefutation for /tmp/MaedMax_25014
% See solution above
% 1.16/1.37
%------------------------------------------------------------------------------