TSTP Solution File: LDA001-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LDA001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n011.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 07:07:40 EDT 2022
% Result : Unsatisfiable 0.84s 1.07s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 9 RR)
% Number of literals : 14 ( 13 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)),
file('/tmp/MaedMax_15292') ).
cnf(eq_1,axiom,
f(n1,n1) = n2,
file('/tmp/MaedMax_15292') ).
cnf(eq_2,axiom,
f(n2,n1) = n3,
file('/tmp/MaedMax_15292') ).
cnf(eq_3,axiom,
f(n2,n2) = u,
file('/tmp/MaedMax_15292') ).
cnf(eq_4,negated_conjecture,
f(f(n3,n2),u) != f(f(u,u),u),
file('/tmp/MaedMax_15292') ).
cnf(eq_5,plain,
f(f(f(X,Y),x101),f(X,f(Y,Z))) = f(f(X,Y),f(x101,f(X,Z))),
inference(cp,[status(thm)],[eq_0,eq_0]) ).
cnf(eq_6,plain,
f(f(X,Y),f(Z,f(X,x3))) = f(f(f(X,Y),Z),f(X,f(Y,x3))),
eq_5 ).
cnf(eq_7,negated_conjecture,
f(f(f(n2,n1),n2),f(n2,n2)) != f(n2,f(f(n2,n2),n2)),
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_4,eq_2]),eq_3]),eq_3]),eq_3]),eq_3]),eq_0]),eq_0]) ).
cnf(eq_8,negated_conjecture,
f(f(f(f(n1,n1),n1),f(n1,n1)),f(n1,f(n1,n1))) != f(n1,f(n1,f(f(n1,n1),n1))),
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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_7,eq_1]),eq_1]),eq_1]),eq_1]),eq_0]),eq_1]),eq_1]),eq_1]),eq_1]),eq_0]),eq_0]),eq_0]) ).
cnf(eq_9,plain,
f(f(f(f(X,Y),X),x102),f(X,f(Y,Z))) = f(f(f(X,Y),X),f(x102,f(f(X,Y),Z))),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_10,plain,
f(f(f(X,Y),X),f(Z,f(f(X,Y),x3))) = f(f(f(f(X,Y),X),Z),f(X,f(Y,x3))),
eq_9 ).
cnf(eq_11,negated_conjecture,
f(f(f(n1,n1),n1),f(f(n1,n1),f(f(n1,n1),n1))) != f(n1,f(n1,f(f(n1,n1),n1))),
inference(cp,[status(thm)],[eq_10,eq_8]) ).
cnf(eq_12,negated_conjecture,
f(n1,f(n1,f(f(n1,n1),n1))) != f(n1,f(n1,f(f(n1,n1),n1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_0]),eq_0]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LDA001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n011.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 02:36:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.84/1.07 % SZS status Unsatisfiable
% 0.84/1.07 % SZS output start CNFRefutation for /tmp/MaedMax_15292
% See solution above
% 0.84/1.07
%------------------------------------------------------------------------------