TSTP Solution File: SEU217+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU217+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 : Wed May 31 12:36:18 EDT 2023
% Result : Theorem 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 75 ( 35 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 88 ( 35 ~; 31 |; 16 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 40 (; 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [A] : relation(identity_relation(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A] :
( relation(identity_relation(A))
& function(identity_relation(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,conjecture,
! [A,B] :
( in(B,A)
=> apply(identity_relation(A),B) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ ! [A,B] :
( in(B,A)
=> apply(identity_relation(A),B) = B ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,axiom,
! [A,B] :
( ( relation(B)
& function(B) )
=> ( B = identity_relation(A)
<=> ( relation_dom(B) = A
& ! [C] :
( in(C,A)
=> apply(B,C) = C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f73,plain,
( ! [A] : relation(identity_relation(A))
& ! [A] : function(identity_relation(A)) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f75,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f81,plain,
? [A,B] :
( in(B,A)
& apply(identity_relation(A),B) != B ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f82,plain,
( in(sk0_8,sk0_7)
& apply(identity_relation(sk0_7),sk0_8) != sk0_8 ),
inference(skolemization,[status(esa)],[f81]) ).
fof(f83,plain,
in(sk0_8,sk0_7),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f84,plain,
apply(identity_relation(sk0_7),sk0_8) != sk0_8,
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f85,plain,
! [A,B] :
( ~ relation(B)
| ~ function(B)
| ( B = identity_relation(A)
<=> ( relation_dom(B) = A
& ! [C] :
( ~ in(C,A)
| apply(B,C) = C ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f86,plain,
! [A,B] :
( ~ relation(B)
| ~ function(B)
| ( ( B != identity_relation(A)
| ( relation_dom(B) = A
& ! [C] :
( ~ in(C,A)
| apply(B,C) = C ) ) )
& ( B = identity_relation(A)
| relation_dom(B) != A
| ? [C] :
( in(C,A)
& apply(B,C) != C ) ) ) ),
inference(NNF_transformation,[status(esa)],[f85]) ).
fof(f87,plain,
! [B] :
( ~ relation(B)
| ~ function(B)
| ( ! [A] :
( B != identity_relation(A)
| ( relation_dom(B) = A
& ! [C] :
( ~ in(C,A)
| apply(B,C) = C ) ) )
& ! [A] :
( B = identity_relation(A)
| relation_dom(B) != A
| ? [C] :
( in(C,A)
& apply(B,C) != C ) ) ) ),
inference(miniscoping,[status(esa)],[f86]) ).
fof(f88,plain,
! [B] :
( ~ relation(B)
| ~ function(B)
| ( ! [A] :
( B != identity_relation(A)
| ( relation_dom(B) = A
& ! [C] :
( ~ in(C,A)
| apply(B,C) = C ) ) )
& ! [A] :
( B = identity_relation(A)
| relation_dom(B) != A
| ( in(sk0_9(A,B),A)
& apply(B,sk0_9(A,B)) != sk0_9(A,B) ) ) ) ),
inference(skolemization,[status(esa)],[f87]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| ~ function(X0)
| X0 != identity_relation(X1)
| ~ in(X2,X1)
| apply(X0,X2) = X2 ),
inference(cnf_transformation,[status(esa)],[f88]) ).
fof(f94,plain,
! [X0,X1] :
( ~ relation(identity_relation(X0))
| ~ function(identity_relation(X0))
| ~ in(X1,X0)
| apply(identity_relation(X0),X1) = X1 ),
inference(destructive_equality_resolution,[status(esa)],[f90]) ).
fof(f98,plain,
! [X0,X1] :
( ~ function(identity_relation(X0))
| ~ in(X1,X0)
| apply(identity_relation(X0),X1) = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f94,f69]) ).
fof(f102,plain,
! [X0,X1] :
( ~ in(X0,X1)
| apply(identity_relation(X1),X0) = X0 ),
inference(backward_subsumption_resolution,[status(thm)],[f98,f75]) ).
fof(f108,plain,
apply(identity_relation(sk0_7),sk0_8) = sk0_8,
inference(resolution,[status(thm)],[f102,f83]) ).
fof(f109,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f108,f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU217+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n013.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 May 30 09:14:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.57 % Refutation found
% 0.19/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.57 % Elapsed time: 0.012849 seconds
% 0.19/0.57 % CPU time: 0.029364 seconds
% 0.19/0.57 % Memory used: 11.627 MB
%------------------------------------------------------------------------------