TSTP Solution File: COL042-8 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : COL042-8 : 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 06:58:17 EDT 2022
% Result : Unsatisfiable 1.04s 1.20s
% Output : CNFRefutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 12 RR)
% Number of literals : 19 ( 18 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 : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
apply(X,apply(Y,Z)) = apply(apply(apply(b,X),Y),Z),
file('/tmp/MaedMax_28467') ).
cnf(eq_1,axiom,
apply(apply(X,Y),Y) = apply(apply(w1,Y),X),
file('/tmp/MaedMax_28467') ).
cnf(eq_2,axiom,
apply(apply(b,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b))),b) = strong_fixed_point,
file('/tmp/MaedMax_28467') ).
cnf(eq_3,negated_conjecture,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
file('/tmp/MaedMax_28467') ).
cnf(eq_4,plain,
apply(strong_fixed_point,x102) = apply(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b)),apply(b,x102)),
inference(cp,[status(thm)],[eq_2,eq_0]) ).
cnf(eq_5,plain,
apply(x100,apply(apply(w1,Y),X)) = apply(apply(apply(b,x100),apply(X,Y)),Y),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_6,plain,
apply(apply(X,X),X) = apply(apply(w1,X),w1),
inference(cp,[status(thm)],[eq_1,eq_1]) ).
cnf(eq_7,plain,
apply(apply(X,apply(Y,Z)),Z) = apply(apply(w1,Z),apply(apply(b,X),Y)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_8,plain,
apply(apply(w1,w1),apply(apply(b,w1),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_9,plain,
apply(X,apply(apply(Y,Z),Z)) = apply(X,apply(apply(w1,Z),Y)),
inference(rw,[status(thm)],[eq_5,eq_0]) ).
cnf(eq_10,negated_conjecture,
apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w1,w1),apply(apply(b,w1),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_11,negated_conjecture,
apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1)) != apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))),
inference(cp,[status(thm)],[eq_7,eq_10]) ).
cnf(eq_12,negated_conjecture,
apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1))) != apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))),
inference(cp,[status(thm)],[eq_9,eq_11]) ).
cnf(eq_13,negated_conjecture,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1))),
inference(rw,[status(thm)],[eq_12,eq_8]) ).
cnf(eq_14,negated_conjecture,
apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_2]),eq_0]),eq_0]),eq_0]) ).
cnf(eq_15,negated_conjecture,
apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),w1) != apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1))),
inference(cp,[status(thm)],[eq_7,eq_14]) ).
cnf(eq_16,negated_conjecture,
apply(apply(apply(apply(b,apply(b,fixed_pt)),w1),apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1)) != apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1))),
inference(cp,[status(thm)],[eq_6,eq_15]) ).
cnf(eq_17,negated_conjecture,
apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1))) != apply(fixed_pt,apply(apply(w1,apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(b,apply(b,fixed_pt)),w1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_0]),eq_0]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL042-8 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 03:10:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.04/1.20 % SZS status Unsatisfiable
% 1.04/1.20 % SZS output start CNFRefutation for /tmp/MaedMax_28467
% See solution above
% 1.04/1.20
%------------------------------------------------------------------------------