TSTP Solution File: SEU200+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU200+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:36:14 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 6 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 28 ~; 24 |; 5 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 30 (; 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [A,B] :
( relation(B)
=> relation(relation_rng_restriction(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A,B] :
( relation(B)
=> subset(relation_rng_restriction(A,B),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,conjecture,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f28,axiom,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(A,B)
=> ( subset(relation_dom(A),relation_dom(B))
& subset(relation_rng(A),relation_rng(B)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,plain,
! [A,B] :
( ~ relation(B)
| relation(relation_rng_restriction(A,B)) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f41,plain,
! [B] :
( ~ relation(B)
| ! [A] : relation(relation_rng_restriction(A,B)) ),
inference(miniscoping,[status(esa)],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f78,plain,
! [A,B] :
( ~ relation(B)
| subset(relation_rng_restriction(A,B),B) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f79,plain,
! [B] :
( ~ relation(B)
| ! [A] : subset(relation_rng_restriction(A,B),B) ),
inference(miniscoping,[status(esa)],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ~ relation(X0)
| subset(relation_rng_restriction(X1,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f81,plain,
? [A,B] :
( relation(B)
& ~ subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f82,plain,
? [B] :
( relation(B)
& ? [A] : ~ subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)) ),
inference(miniscoping,[status(esa)],[f81]) ).
fof(f83,plain,
( relation(sk0_7)
& ~ subset(relation_rng(relation_rng_restriction(sk0_8,sk0_7)),relation_rng(sk0_7)) ),
inference(skolemization,[status(esa)],[f82]) ).
fof(f84,plain,
relation(sk0_7),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f85,plain,
~ subset(relation_rng(relation_rng_restriction(sk0_8,sk0_7)),relation_rng(sk0_7)),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f88,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( ~ relation(B)
| ~ subset(A,B)
| ( subset(relation_dom(A),relation_dom(B))
& subset(relation_rng(A),relation_rng(B)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f90,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| ~ subset(X0,X1)
| subset(relation_rng(X0),relation_rng(X1)) ),
inference(cnf_transformation,[status(esa)],[f88]) ).
fof(f111,plain,
( spl0_0
<=> relation(relation_rng_restriction(sk0_8,sk0_7)) ),
introduced(split_symbol_definition) ).
fof(f113,plain,
( ~ relation(relation_rng_restriction(sk0_8,sk0_7))
| spl0_0 ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,plain,
( spl0_1
<=> relation(sk0_7) ),
introduced(split_symbol_definition) ).
fof(f116,plain,
( ~ relation(sk0_7)
| spl0_1 ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,plain,
( spl0_2
<=> subset(relation_rng_restriction(sk0_8,sk0_7),sk0_7) ),
introduced(split_symbol_definition) ).
fof(f119,plain,
( ~ subset(relation_rng_restriction(sk0_8,sk0_7),sk0_7)
| spl0_2 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( ~ relation(relation_rng_restriction(sk0_8,sk0_7))
| ~ relation(sk0_7)
| ~ subset(relation_rng_restriction(sk0_8,sk0_7),sk0_7) ),
inference(resolution,[status(thm)],[f90,f85]) ).
fof(f121,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f120,f111,f114,f117]) ).
fof(f132,plain,
( ~ relation(sk0_7)
| spl0_2 ),
inference(resolution,[status(thm)],[f119,f80]) ).
fof(f133,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f132,f84]) ).
fof(f134,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f133]) ).
fof(f135,plain,
( ~ relation(sk0_7)
| spl0_0 ),
inference(resolution,[status(thm)],[f113,f42]) ).
fof(f136,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f135,f84]) ).
fof(f137,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f136]) ).
fof(f138,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f116,f84]) ).
fof(f139,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f138]) ).
fof(f140,plain,
$false,
inference(sat_refutation,[status(thm)],[f121,f134,f137,f139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU200+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.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 09:20:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.30/0.59 % Elapsed time: 0.021876 seconds
% 0.30/0.59 % CPU time: 0.029270 seconds
% 0.30/0.59 % Memory used: 10.215 MB
%------------------------------------------------------------------------------