TSTP Solution File: SET787-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET787-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:40:20 EDT 2024
% Result : Unsatisfiable 0.16s 0.38s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 11 unt; 0 def)
% Number of atoms : 88 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 79 ( 37 ~; 37 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [U,V,W] :
( ~ member(U,V)
| member(U,un(W,V)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [U,V,W] :
( ~ member(U,V)
| member(U,un(V,W)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,axiom,
! [U,V] :
( ~ member(U,cons(V,eptset))
| U = V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,axiom,
! [U,V,W] :
( ~ member(U,cons(V,W))
| U = V
| member(U,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f102,axiom,
! [U,V] :
( ~ member(U,union(V))
| member(U,unionE_sk1(U,V)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f103,axiom,
! [U,V] :
( ~ member(U,union(V))
| member(unionE_sk1(U,V),V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f148,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f149,negated_conjecture,
~ member(sk2,un(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f170,plain,
! [U,V] :
( ~ member(U,V)
| ! [W] : member(U,un(W,V)) ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f171,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| member(X0,un(X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f170]) ).
fof(f172,plain,
! [U,V] :
( ~ member(U,V)
| ! [W] : member(U,un(V,W)) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f173,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| member(X0,un(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f172]) ).
fof(f282,plain,
! [X0,X1] :
( ~ member(X0,cons(X1,eptset))
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f94]) ).
fof(f283,plain,
! [U,W] :
( ! [V] :
( ~ member(U,cons(V,W))
| U = V )
| member(U,W) ),
inference(miniscoping,[status(esa)],[f95]) ).
fof(f284,plain,
! [X0,X1,X2] :
( ~ member(X0,cons(X1,X2))
| X0 = X1
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f283]) ).
fof(f297,plain,
! [X0,X1] :
( ~ member(X0,union(X1))
| member(X0,unionE_sk1(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f102]) ).
fof(f298,plain,
! [X0,X1] :
( ~ member(X0,union(X1))
| member(unionE_sk1(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f360,plain,
member(sk2,union(cons(a,cons(b,eptset)))),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f361,plain,
~ member(sk2,un(a,b)),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f368,plain,
~ member(sk2,b),
inference(resolution,[status(thm)],[f171,f361]) ).
fof(f369,plain,
~ member(sk2,a),
inference(resolution,[status(thm)],[f173,f361]) ).
fof(f463,plain,
member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset))),
inference(resolution,[status(thm)],[f298,f360]) ).
fof(f477,plain,
( spl0_6
<=> member(sk2,a) ),
introduced(split_symbol_definition) ).
fof(f478,plain,
( member(sk2,a)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f497,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f478,f369]) ).
fof(f498,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f497]) ).
fof(f509,plain,
( spl0_9
<=> unionE_sk1(sk2,cons(a,cons(b,eptset))) = a ),
introduced(split_symbol_definition) ).
fof(f510,plain,
( unionE_sk1(sk2,cons(a,cons(b,eptset))) = a
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( spl0_10
<=> member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) ),
introduced(split_symbol_definition) ).
fof(f513,plain,
( member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( unionE_sk1(sk2,cons(a,cons(b,eptset))) = a
| member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) ),
inference(resolution,[status(thm)],[f463,f284]) ).
fof(f516,plain,
( spl0_9
| spl0_10 ),
inference(split_clause,[status(thm)],[f515,f509,f512]) ).
fof(f518,plain,
( spl0_11
<=> member(sk2,union(cons(a,cons(b,eptset)))) ),
introduced(split_symbol_definition) ).
fof(f520,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| spl0_11 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| member(sk2,a)
| ~ spl0_9 ),
inference(paramodulation,[status(thm)],[f510,f297]) ).
fof(f522,plain,
( ~ spl0_11
| spl0_6
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f521,f518,f477,f509]) ).
fof(f523,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f360]) ).
fof(f524,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f523]) ).
fof(f525,plain,
( unionE_sk1(sk2,cons(a,cons(b,eptset))) = b
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f513,f282]) ).
fof(f536,plain,
( spl0_14
<=> member(sk2,b) ),
introduced(split_symbol_definition) ).
fof(f537,plain,
( member(sk2,b)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| member(sk2,b)
| ~ spl0_10 ),
inference(paramodulation,[status(thm)],[f525,f297]) ).
fof(f540,plain,
( ~ spl0_11
| spl0_14
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f539,f518,f536,f512]) ).
fof(f541,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f537,f368]) ).
fof(f542,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f543,plain,
$false,
inference(sat_refutation,[status(thm)],[f498,f516,f522,f524,f540,f542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET787-2 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n021.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 21:45:55 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.16/0.36 % Drodi V3.6.0
% 0.16/0.38 % Refutation found
% 0.16/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.40 % Elapsed time: 0.049460 seconds
% 0.16/0.40 % CPU time: 0.187599 seconds
% 0.16/0.40 % Total memory used: 51.418 MB
% 0.16/0.40 % Net memory used: 51.211 MB
%------------------------------------------------------------------------------