TSTP Solution File: SEU264+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU264+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%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 Apr 30 20:41:45 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 54 ( 21 ~; 16 |; 9 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 55 ( 47 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f199,lemma,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> ( subset(relation_dom(C),A)
& subset(relation_rng(C),B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f210,lemma,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(relation_rng(D),B)
=> relation_of2_as_subset(D,C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f214,conjecture,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f215,negated_conjecture,
~ ! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ),
inference(negated_conjecture,[status(cth)],[f214]) ).
fof(f226,lemma,
! [A,B,C] :
( ( subset(A,B)
& subset(B,C) )
=> subset(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1106,plain,
! [A,B,C] :
( ~ relation_of2_as_subset(C,A,B)
| ( subset(relation_dom(C),A)
& subset(relation_rng(C),B) ) ),
inference(pre_NNF_transformation,[status(esa)],[f199]) ).
fof(f1108,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X0,X1,X2)
| subset(relation_rng(X0),X2) ),
inference(cnf_transformation,[status(esa)],[f1106]) ).
fof(f1146,plain,
! [A,B,C,D] :
( ~ relation_of2_as_subset(D,C,A)
| ~ subset(relation_rng(D),B)
| relation_of2_as_subset(D,C,B) ),
inference(pre_NNF_transformation,[status(esa)],[f210]) ).
fof(f1147,plain,
! [C,D] :
( ! [A] : ~ relation_of2_as_subset(D,C,A)
| ! [B] :
( ~ subset(relation_rng(D),B)
| relation_of2_as_subset(D,C,B) ) ),
inference(miniscoping,[status(esa)],[f1146]) ).
fof(f1148,plain,
! [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X0,X1,X2)
| ~ subset(relation_rng(X0),X3)
| relation_of2_as_subset(X0,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f1147]) ).
fof(f1162,plain,
? [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
& subset(A,B)
& ~ relation_of2_as_subset(D,C,B) ),
inference(pre_NNF_transformation,[status(esa)],[f215]) ).
fof(f1163,plain,
? [A,C,D] :
( relation_of2_as_subset(D,C,A)
& ? [B] :
( subset(A,B)
& ~ relation_of2_as_subset(D,C,B) ) ),
inference(miniscoping,[status(esa)],[f1162]) ).
fof(f1164,plain,
( relation_of2_as_subset(sk0_110,sk0_109,sk0_108)
& subset(sk0_108,sk0_111)
& ~ relation_of2_as_subset(sk0_110,sk0_109,sk0_111) ),
inference(skolemization,[status(esa)],[f1163]) ).
fof(f1165,plain,
relation_of2_as_subset(sk0_110,sk0_109,sk0_108),
inference(cnf_transformation,[status(esa)],[f1164]) ).
fof(f1166,plain,
subset(sk0_108,sk0_111),
inference(cnf_transformation,[status(esa)],[f1164]) ).
fof(f1167,plain,
~ relation_of2_as_subset(sk0_110,sk0_109,sk0_111),
inference(cnf_transformation,[status(esa)],[f1164]) ).
fof(f1196,plain,
! [A,B,C] :
( ~ subset(A,B)
| ~ subset(B,C)
| subset(A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f226]) ).
fof(f1197,plain,
! [A,C] :
( ! [B] :
( ~ subset(A,B)
| ~ subset(B,C) )
| subset(A,C) ),
inference(miniscoping,[status(esa)],[f1196]) ).
fof(f1198,plain,
! [X0,X1,X2] :
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1197]) ).
fof(f1695,plain,
subset(relation_rng(sk0_110),sk0_108),
inference(resolution,[status(thm)],[f1108,f1165]) ).
fof(f1709,plain,
! [X0] :
( ~ subset(X0,sk0_108)
| subset(X0,sk0_111) ),
inference(resolution,[status(thm)],[f1198,f1166]) ).
fof(f1710,plain,
subset(relation_rng(sk0_110),sk0_111),
inference(resolution,[status(thm)],[f1709,f1695]) ).
fof(f1726,plain,
! [X0] :
( ~ subset(relation_rng(sk0_110),X0)
| relation_of2_as_subset(sk0_110,sk0_109,X0) ),
inference(resolution,[status(thm)],[f1148,f1165]) ).
fof(f1727,plain,
relation_of2_as_subset(sk0_110,sk0_109,sk0_111),
inference(resolution,[status(thm)],[f1726,f1710]) ).
fof(f1728,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1727,f1167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU264+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.36 % Computer : n011.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Apr 29 19:56:01 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.39 % Drodi V3.6.0
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.051875 seconds
% 0.13/0.42 % CPU time: 0.091179 seconds
% 0.13/0.42 % Total memory used: 22.582 MB
% 0.13/0.42 % Net memory used: 22.445 MB
%------------------------------------------------------------------------------