TSTP Solution File: SEU177+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU177+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:36:08 EDT 2023
% Result : Theorem 0.18s 0.35s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 4 unt; 0 def)
% Number of atoms : 142 ( 18 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 172 ( 64 ~; 65 |; 26 &)
% ( 11 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 92 (; 70 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_dom(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(C,D),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,conjecture,
! [A,B,C] :
( relation(C)
=> ( in(ordered_pair(A,B),C)
=> ( in(A,relation_dom(C))
& in(B,relation_rng(C)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
~ ! [A,B,C] :
( relation(C)
=> ( in(ordered_pair(A,B),C)
=> ( in(A,relation_dom(C))
& in(B,relation_rng(C)) ) ) ),
inference(negated_conjecture,[status(cth)],[f94]) ).
fof(f237,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( B = relation_dom(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(C,D),A) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f238,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( ( B != relation_dom(A)
| ! [C] :
( ( ~ in(C,B)
| ? [D] : in(ordered_pair(C,D),A) )
& ( in(C,B)
| ! [D] : ~ in(ordered_pair(C,D),A) ) ) )
& ( B = relation_dom(A)
| ? [C] :
( ( ~ in(C,B)
| ! [D] : ~ in(ordered_pair(C,D),A) )
& ( in(C,B)
| ? [D] : in(ordered_pair(C,D),A) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f237]) ).
fof(f239,plain,
! [A] :
( ~ relation(A)
| ( ! [B] :
( B != relation_dom(A)
| ( ! [C] :
( ~ in(C,B)
| ? [D] : in(ordered_pair(C,D),A) )
& ! [C] :
( in(C,B)
| ! [D] : ~ in(ordered_pair(C,D),A) ) ) )
& ! [B] :
( B = relation_dom(A)
| ? [C] :
( ( ~ in(C,B)
| ! [D] : ~ in(ordered_pair(C,D),A) )
& ( in(C,B)
| ? [D] : in(ordered_pair(C,D),A) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f238]) ).
fof(f240,plain,
! [A] :
( ~ relation(A)
| ( ! [B] :
( B != relation_dom(A)
| ( ! [C] :
( ~ in(C,B)
| in(ordered_pair(C,sk0_15(C,B,A)),A) )
& ! [C] :
( in(C,B)
| ! [D] : ~ in(ordered_pair(C,D),A) ) ) )
& ! [B] :
( B = relation_dom(A)
| ( ( ~ in(sk0_16(B,A),B)
| ! [D] : ~ in(ordered_pair(sk0_16(B,A),D),A) )
& ( in(sk0_16(B,A),B)
| in(ordered_pair(sk0_16(B,A),sk0_17(B,A)),A) ) ) ) ) ),
inference(skolemization,[status(esa)],[f239]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( ~ relation(X0)
| X1 != relation_dom(X0)
| in(X2,X1)
| ~ in(ordered_pair(X2,X3),X0) ),
inference(cnf_transformation,[status(esa)],[f240]) ).
fof(f264,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f265,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( ( B != relation_rng(A)
| ! [C] :
( ( ~ in(C,B)
| ? [D] : in(ordered_pair(D,C),A) )
& ( in(C,B)
| ! [D] : ~ in(ordered_pair(D,C),A) ) ) )
& ( B = relation_rng(A)
| ? [C] :
( ( ~ in(C,B)
| ! [D] : ~ in(ordered_pair(D,C),A) )
& ( in(C,B)
| ? [D] : in(ordered_pair(D,C),A) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f264]) ).
fof(f266,plain,
! [A] :
( ~ relation(A)
| ( ! [B] :
( B != relation_rng(A)
| ( ! [C] :
( ~ in(C,B)
| ? [D] : in(ordered_pair(D,C),A) )
& ! [C] :
( in(C,B)
| ! [D] : ~ in(ordered_pair(D,C),A) ) ) )
& ! [B] :
( B = relation_rng(A)
| ? [C] :
( ( ~ in(C,B)
| ! [D] : ~ in(ordered_pair(D,C),A) )
& ( in(C,B)
| ? [D] : in(ordered_pair(D,C),A) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f265]) ).
fof(f267,plain,
! [A] :
( ~ relation(A)
| ( ! [B] :
( B != relation_rng(A)
| ( ! [C] :
( ~ in(C,B)
| in(ordered_pair(sk0_22(C,B,A),C),A) )
& ! [C] :
( in(C,B)
| ! [D] : ~ in(ordered_pair(D,C),A) ) ) )
& ! [B] :
( B = relation_rng(A)
| ( ( ~ in(sk0_23(B,A),B)
| ! [D] : ~ in(ordered_pair(D,sk0_23(B,A)),A) )
& ( in(sk0_23(B,A),B)
| in(ordered_pair(sk0_24(B,A),sk0_23(B,A)),A) ) ) ) ) ),
inference(skolemization,[status(esa)],[f266]) ).
fof(f269,plain,
! [X0,X1,X2,X3] :
( ~ relation(X0)
| X1 != relation_rng(X0)
| in(X2,X1)
| ~ in(ordered_pair(X3,X2),X0) ),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f419,plain,
? [A,B,C] :
( relation(C)
& in(ordered_pair(A,B),C)
& ( ~ in(A,relation_dom(C))
| ~ in(B,relation_rng(C)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f95]) ).
fof(f420,plain,
? [C] :
( relation(C)
& ? [A,B] :
( in(ordered_pair(A,B),C)
& ( ~ in(A,relation_dom(C))
| ~ in(B,relation_rng(C)) ) ) ),
inference(miniscoping,[status(esa)],[f419]) ).
fof(f421,plain,
( relation(sk0_34)
& in(ordered_pair(sk0_35,sk0_36),sk0_34)
& ( ~ in(sk0_35,relation_dom(sk0_34))
| ~ in(sk0_36,relation_rng(sk0_34)) ) ),
inference(skolemization,[status(esa)],[f420]) ).
fof(f422,plain,
relation(sk0_34),
inference(cnf_transformation,[status(esa)],[f421]) ).
fof(f423,plain,
in(ordered_pair(sk0_35,sk0_36),sk0_34),
inference(cnf_transformation,[status(esa)],[f421]) ).
fof(f424,plain,
( ~ in(sk0_35,relation_dom(sk0_34))
| ~ in(sk0_36,relation_rng(sk0_34)) ),
inference(cnf_transformation,[status(esa)],[f421]) ).
fof(f561,plain,
( spl0_0
<=> in(sk0_35,relation_dom(sk0_34)) ),
introduced(split_symbol_definition) ).
fof(f564,plain,
( spl0_1
<=> in(sk0_36,relation_rng(sk0_34)) ),
introduced(split_symbol_definition) ).
fof(f567,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f424,f561,f564]) ).
fof(f592,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| in(X1,relation_dom(X0))
| ~ in(ordered_pair(X1,X2),X0) ),
inference(destructive_equality_resolution,[status(esa)],[f242]) ).
fof(f600,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| in(X1,relation_rng(X0))
| ~ in(ordered_pair(X2,X1),X0) ),
inference(destructive_equality_resolution,[status(esa)],[f269]) ).
fof(f610,plain,
( spl0_2
<=> relation(sk0_34) ),
introduced(split_symbol_definition) ).
fof(f612,plain,
( ~ relation(sk0_34)
| spl0_2 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( ~ relation(sk0_34)
| in(sk0_35,relation_dom(sk0_34)) ),
inference(resolution,[status(thm)],[f592,f423]) ).
fof(f614,plain,
( ~ spl0_2
| spl0_0 ),
inference(split_clause,[status(thm)],[f613,f610,f561]) ).
fof(f615,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f612,f422]) ).
fof(f616,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f615]) ).
fof(f617,plain,
( ~ relation(sk0_34)
| in(sk0_36,relation_rng(sk0_34)) ),
inference(resolution,[status(thm)],[f600,f423]) ).
fof(f618,plain,
( ~ spl0_2
| spl0_1 ),
inference(split_clause,[status(thm)],[f617,f610,f564]) ).
fof(f619,plain,
$false,
inference(sat_refutation,[status(thm)],[f567,f614,f616,f618]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU177+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n025.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 May 30 09:30:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.34 % Drodi V3.5.1
% 0.18/0.35 % Refutation found
% 0.18/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.37 % Elapsed time: 0.032402 seconds
% 0.18/0.37 % CPU time: 0.046930 seconds
% 0.18/0.37 % Memory used: 16.508 MB
%------------------------------------------------------------------------------