TSTP Solution File: SEU199+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU199+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:36:13 EDT 2023
% Result : Theorem 0.20s 0.47s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 5 unt; 0 def)
% Number of atoms : 177 ( 9 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 216 ( 87 ~; 86 |; 24 &)
% ( 11 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 86 (; 76 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A,B] :
( relation(B)
=> ! [C] :
( relation(C)
=> ( C = relation_rng_restriction(A,B)
<=> ! [D,E] :
( in(ordered_pair(D,E),C)
<=> ( in(E,A)
& in(ordered_pair(D,E),B) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] :
( relation(A)
=> ! [B] :
( relation(B)
=> ( subset(A,B)
<=> ! [C,D] :
( in(ordered_pair(C,D),A)
=> in(ordered_pair(C,D),B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] :
( relation(B)
=> relation(relation_rng_restriction(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,conjecture,
! [A,B] :
( relation(B)
=> subset(relation_rng_restriction(A,B),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_rng_restriction(A,B),B) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f43,plain,
! [A,B] :
( ~ relation(B)
| ! [C] :
( ~ relation(C)
| ( C = relation_rng_restriction(A,B)
<=> ! [D,E] :
( in(ordered_pair(D,E),C)
<=> ( in(E,A)
& in(ordered_pair(D,E),B) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f44,plain,
! [A,B] :
( ~ relation(B)
| ! [C] :
( ~ relation(C)
| ( ( C != relation_rng_restriction(A,B)
| ! [D,E] :
( ( ~ in(ordered_pair(D,E),C)
| ( in(E,A)
& in(ordered_pair(D,E),B) ) )
& ( in(ordered_pair(D,E),C)
| ~ in(E,A)
| ~ in(ordered_pair(D,E),B) ) ) )
& ( C = relation_rng_restriction(A,B)
| ? [D,E] :
( ( ~ in(ordered_pair(D,E),C)
| ~ in(E,A)
| ~ in(ordered_pair(D,E),B) )
& ( in(ordered_pair(D,E),C)
| ( in(E,A)
& in(ordered_pair(D,E),B) ) ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f43]) ).
fof(f45,plain,
! [B] :
( ~ relation(B)
| ! [C] :
( ~ relation(C)
| ( ! [A] :
( C != relation_rng_restriction(A,B)
| ( ! [D,E] :
( ~ in(ordered_pair(D,E),C)
| ( in(E,A)
& in(ordered_pair(D,E),B) ) )
& ! [D,E] :
( in(ordered_pair(D,E),C)
| ~ in(E,A)
| ~ in(ordered_pair(D,E),B) ) ) )
& ! [A] :
( C = relation_rng_restriction(A,B)
| ? [D,E] :
( ( ~ in(ordered_pair(D,E),C)
| ~ in(E,A)
| ~ in(ordered_pair(D,E),B) )
& ( in(ordered_pair(D,E),C)
| ( in(E,A)
& in(ordered_pair(D,E),B) ) ) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f44]) ).
fof(f46,plain,
! [B] :
( ~ relation(B)
| ! [C] :
( ~ relation(C)
| ( ! [A] :
( C != relation_rng_restriction(A,B)
| ( ! [D,E] :
( ~ in(ordered_pair(D,E),C)
| ( in(E,A)
& in(ordered_pair(D,E),B) ) )
& ! [D,E] :
( in(ordered_pair(D,E),C)
| ~ in(E,A)
| ~ in(ordered_pair(D,E),B) ) ) )
& ! [A] :
( C = relation_rng_restriction(A,B)
| ( ( ~ in(ordered_pair(sk0_0(A,C,B),sk0_1(A,C,B)),C)
| ~ in(sk0_1(A,C,B),A)
| ~ in(ordered_pair(sk0_0(A,C,B),sk0_1(A,C,B)),B) )
& ( in(ordered_pair(sk0_0(A,C,B),sk0_1(A,C,B)),C)
| ( in(sk0_1(A,C,B),A)
& in(ordered_pair(sk0_0(A,C,B),sk0_1(A,C,B)),B) ) ) ) ) ) ) ),
inference(skolemization,[status(esa)],[f45]) ).
fof(f48,plain,
! [X0,X1,X2,X3,X4] :
( ~ relation(X0)
| ~ relation(X1)
| X1 != relation_rng_restriction(X2,X0)
| ~ in(ordered_pair(X3,X4),X1)
| in(ordered_pair(X3,X4),X0) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f53,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( ~ relation(B)
| ( subset(A,B)
<=> ! [C,D] :
( ~ in(ordered_pair(C,D),A)
| in(ordered_pair(C,D),B) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f54,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( ~ relation(B)
| ( ( ~ subset(A,B)
| ! [C,D] :
( ~ in(ordered_pair(C,D),A)
| in(ordered_pair(C,D),B) ) )
& ( subset(A,B)
| ? [C,D] :
( in(ordered_pair(C,D),A)
& ~ in(ordered_pair(C,D),B) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f53]) ).
fof(f55,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( ~ relation(B)
| ( ( ~ subset(A,B)
| ! [C,D] :
( ~ in(ordered_pair(C,D),A)
| in(ordered_pair(C,D),B) ) )
& ( subset(A,B)
| ( in(ordered_pair(sk0_2(B,A),sk0_3(B,A)),A)
& ~ in(ordered_pair(sk0_2(B,A),sk0_3(B,A)),B) ) ) ) ) ),
inference(skolemization,[status(esa)],[f54]) ).
fof(f57,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| subset(X0,X1)
| in(ordered_pair(sk0_2(X1,X0),sk0_3(X1,X0)),X0) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f58,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| subset(X0,X1)
| ~ in(ordered_pair(sk0_2(X1,X0),sk0_3(X1,X0)),X1) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f60,plain,
! [A,B] :
( ~ relation(B)
| relation(relation_rng_restriction(A,B)) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f61,plain,
! [B] :
( ~ relation(B)
| ! [A] : relation(relation_rng_restriction(A,B)) ),
inference(miniscoping,[status(esa)],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f91,plain,
? [A,B] :
( relation(B)
& ~ subset(relation_rng_restriction(A,B),B) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f92,plain,
? [B] :
( relation(B)
& ? [A] : ~ subset(relation_rng_restriction(A,B),B) ),
inference(miniscoping,[status(esa)],[f91]) ).
fof(f93,plain,
( relation(sk0_11)
& ~ subset(relation_rng_restriction(sk0_12,sk0_11),sk0_11) ),
inference(skolemization,[status(esa)],[f92]) ).
fof(f94,plain,
relation(sk0_11),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f95,plain,
~ subset(relation_rng_restriction(sk0_12,sk0_11),sk0_11),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ~ relation(X0)
| ~ relation(relation_rng_restriction(X1,X0))
| ~ in(ordered_pair(X2,X3),relation_rng_restriction(X1,X0))
| in(ordered_pair(X2,X3),X0) ),
inference(destructive_equality_resolution,[status(esa)],[f48]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ~ relation(X0)
| ~ in(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))
| in(ordered_pair(X1,X2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f119,f62]) ).
fof(f145,plain,
( spl0_1
<=> relation(sk0_11) ),
introduced(split_symbol_definition) ).
fof(f147,plain,
( ~ relation(sk0_11)
| spl0_1 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f164,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f147,f94]) ).
fof(f165,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f164]) ).
fof(f578,plain,
( spl0_51
<=> relation(relation_rng_restriction(sk0_12,sk0_11)) ),
introduced(split_symbol_definition) ).
fof(f580,plain,
( ~ relation(relation_rng_restriction(sk0_12,sk0_11))
| spl0_51 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,plain,
( spl0_52
<=> in(ordered_pair(sk0_2(sk0_11,relation_rng_restriction(sk0_12,sk0_11)),sk0_3(sk0_11,relation_rng_restriction(sk0_12,sk0_11))),relation_rng_restriction(sk0_12,sk0_11)) ),
introduced(split_symbol_definition) ).
fof(f582,plain,
( in(ordered_pair(sk0_2(sk0_11,relation_rng_restriction(sk0_12,sk0_11)),sk0_3(sk0_11,relation_rng_restriction(sk0_12,sk0_11))),relation_rng_restriction(sk0_12,sk0_11))
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( ~ relation(relation_rng_restriction(sk0_12,sk0_11))
| ~ relation(sk0_11)
| in(ordered_pair(sk0_2(sk0_11,relation_rng_restriction(sk0_12,sk0_11)),sk0_3(sk0_11,relation_rng_restriction(sk0_12,sk0_11))),relation_rng_restriction(sk0_12,sk0_11)) ),
inference(resolution,[status(thm)],[f57,f95]) ).
fof(f585,plain,
( ~ spl0_51
| ~ spl0_1
| spl0_52 ),
inference(split_clause,[status(thm)],[f584,f578,f145,f581]) ).
fof(f602,plain,
( ~ relation(sk0_11)
| spl0_51 ),
inference(resolution,[status(thm)],[f580,f62]) ).
fof(f603,plain,
( ~ spl0_1
| spl0_51 ),
inference(split_clause,[status(thm)],[f602,f145,f578]) ).
fof(f613,plain,
( spl0_53
<=> in(ordered_pair(sk0_2(sk0_11,relation_rng_restriction(sk0_12,sk0_11)),sk0_3(sk0_11,relation_rng_restriction(sk0_12,sk0_11))),sk0_11) ),
introduced(split_symbol_definition) ).
fof(f614,plain,
( in(ordered_pair(sk0_2(sk0_11,relation_rng_restriction(sk0_12,sk0_11)),sk0_3(sk0_11,relation_rng_restriction(sk0_12,sk0_11))),sk0_11)
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,plain,
( ~ relation(sk0_11)
| in(ordered_pair(sk0_2(sk0_11,relation_rng_restriction(sk0_12,sk0_11)),sk0_3(sk0_11,relation_rng_restriction(sk0_12,sk0_11))),sk0_11)
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f582,f122]) ).
fof(f617,plain,
( ~ spl0_1
| spl0_53
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f616,f145,f613,f581]) ).
fof(f637,plain,
( spl0_57
<=> subset(relation_rng_restriction(sk0_12,sk0_11),sk0_11) ),
introduced(split_symbol_definition) ).
fof(f638,plain,
( subset(relation_rng_restriction(sk0_12,sk0_11),sk0_11)
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,plain,
( ~ relation(relation_rng_restriction(sk0_12,sk0_11))
| ~ relation(sk0_11)
| subset(relation_rng_restriction(sk0_12,sk0_11),sk0_11)
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f614,f58]) ).
fof(f641,plain,
( ~ spl0_51
| ~ spl0_1
| spl0_57
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f640,f578,f145,f637,f613]) ).
fof(f653,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f95]) ).
fof(f654,plain,
~ spl0_57,
inference(contradiction_clause,[status(thm)],[f653]) ).
fof(f655,plain,
$false,
inference(sat_refutation,[status(thm)],[f165,f585,f603,f617,f641,f654]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU199+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:25:28 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.47 % Refutation found
% 0.20/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.48 % Elapsed time: 0.140729 seconds
% 0.20/0.48 % CPU time: 0.984981 seconds
% 0.20/0.48 % Memory used: 66.525 MB
%------------------------------------------------------------------------------