TSTP Solution File: NUN087+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:31:18 EDT 2023
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 14 unt; 0 def)
% Number of atoms : 75 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 29 ~; 20 |; 18 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 45 (; 34 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [Y24] :
! [X19] :
( ( ~ r1(X19)
& X19 != Y24 )
| ( r1(X19)
& X19 = Y24 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X5] :
? [Y8] :
( ? [Y17] :
( r1(Y17)
& r4(X5,Y17,Y8) )
& ? [Y18] :
( r1(Y18)
& Y8 = Y18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
? [Y1] :
( ? [Y2] :
( r1(Y2)
& r4(Y2,Y2,Y1) )
& ? [Y3] :
( r1(Y3)
& Y1 = Y3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ? [Y1] :
( ? [Y2] :
( r1(Y2)
& r4(Y2,Y2,Y1) )
& ? [Y3] :
( r1(Y3)
& Y1 = Y3 ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [Y24,X19] :
( pd0_0(X19,Y24)
=> ( ~ r1(X19)
& X19 != Y24 ) ),
introduced(predicate_definition,[f1]) ).
fof(f15,plain,
? [Y24] :
! [X19] :
( pd0_0(X19,Y24)
| ( r1(X19)
& X19 = Y24 ) ),
inference(formula_renaming,[status(thm)],[f1,f14]) ).
fof(f16,plain,
! [X19] :
( pd0_0(X19,sk0_0)
| ( r1(X19)
& X19 = sk0_0 ) ),
inference(skolemization,[status(esa)],[f15]) ).
fof(f17,plain,
! [X0] :
( pd0_0(X0,sk0_0)
| r1(X0) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f18,plain,
! [X0] :
( pd0_0(X0,sk0_0)
| X0 = sk0_0 ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f51,plain,
! [X5] :
( r1(sk0_15(X5))
& r4(X5,sk0_15(X5),sk0_14(X5))
& r1(sk0_16(X5))
& sk0_14(X5) = sk0_16(X5) ),
inference(skolemization,[status(esa)],[f9]) ).
fof(f52,plain,
! [X0] : r1(sk0_15(X0)),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f53,plain,
! [X0] : r4(X0,sk0_15(X0),sk0_14(X0)),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f54,plain,
! [X0] : r1(sk0_16(X0)),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f55,plain,
! [X0] : sk0_14(X0) = sk0_16(X0),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f64,plain,
! [Y1] :
( ! [Y2] :
( ~ r1(Y2)
| ~ r4(Y2,Y2,Y1) )
| ! [Y3] :
( ~ r1(Y3)
| Y1 != Y3 ) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ~ r1(X0)
| ~ r4(X0,X0,X1)
| ~ r1(X2)
| X1 != X2 ),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f66,plain,
! [Y24,X19] :
( ~ pd0_0(X19,Y24)
| ( ~ r1(X19)
& X19 != Y24 ) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f67,plain,
! [X0,X1] :
( ~ pd0_0(X0,X1)
| ~ r1(X0) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ~ pd0_0(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f83,plain,
! [X0,X1] :
( ~ r1(X0)
| ~ r4(X0,X0,X1)
| ~ r1(X1) ),
inference(destructive_equality_resolution,[status(esa)],[f65]) ).
fof(f84,plain,
! [X0] : ~ pd0_0(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f68]) ).
fof(f88,plain,
r1(sk0_0),
inference(resolution,[status(thm)],[f17,f84]) ).
fof(f89,plain,
! [X0] : r1(sk0_14(X0)),
inference(backward_demodulation,[status(thm)],[f55,f54]) ).
fof(f92,plain,
! [X0] :
( ~ r1(X0)
| X0 = sk0_0 ),
inference(resolution,[status(thm)],[f67,f18]) ).
fof(f93,plain,
! [X0] : sk0_14(X0) = sk0_0,
inference(resolution,[status(thm)],[f92,f89]) ).
fof(f94,plain,
! [X0] : sk0_15(X0) = sk0_0,
inference(resolution,[status(thm)],[f92,f52]) ).
fof(f103,plain,
! [X0] : r4(X0,sk0_0,sk0_14(X0)),
inference(forward_demodulation,[status(thm)],[f94,f53]) ).
fof(f104,plain,
! [X0] : r4(X0,sk0_0,sk0_0),
inference(forward_demodulation,[status(thm)],[f93,f103]) ).
fof(f105,plain,
( spl0_0
<=> r1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f107,plain,
( ~ r1(sk0_0)
| spl0_0 ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( ~ r1(sk0_0)
| ~ r1(sk0_0) ),
inference(resolution,[status(thm)],[f104,f83]) ).
fof(f109,plain,
~ spl0_0,
inference(split_clause,[status(thm)],[f108,f105]) ).
fof(f110,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f107,f88]) ).
fof(f111,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f110]) ).
fof(f112,plain,
$false,
inference(sat_refutation,[status(thm)],[f109,f111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue May 30 10:39:31 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.5.1
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.57 % Elapsed time: 0.022014 seconds
% 0.27/0.57 % CPU time: 0.034301 seconds
% 0.27/0.57 % Memory used: 18.092 MB
%------------------------------------------------------------------------------