TSTP Solution File: NUN062+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUN062+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 12:31:13 EDT 2023
% Result : Theorem 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 7 unt; 0 def)
% Number of atoms : 68 ( 22 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 73 ( 29 ~; 21 |; 23 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 69 (; 51 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) )
& Y5 = Y4 )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X2,X9] :
? [Y2] :
( ? [Y3] :
( ? [Y14] :
( r2(X9,Y14)
& r4(X2,Y14,Y3) )
& Y3 = Y2 )
& ? [Y6] :
( r3(Y6,X2,Y2)
& r4(X2,X9,Y6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X7,Y10] :
( ! [Y20] :
( ~ r1(Y20)
| Y20 != Y10 )
| ~ r2(X7,Y10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
! [X1] :
? [Y2,Y1] :
( ! [Y4] :
( ~ r1(Y4)
| Y1 != Y4 )
& ? [Y3] :
( r3(X1,Y1,Y3)
& Y3 = Y2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ! [X1] :
? [Y2,Y1] :
( ! [Y4] :
( ~ r1(Y4)
| Y1 != Y4 )
& ? [Y3] :
( r3(X1,Y1,Y3)
& Y3 = Y2 ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f34,plain,
! [X1,X8] :
( r2(X8,sk0_6(X8,X1))
& r3(X1,sk0_6(X8,X1),sk0_5(X8,X1))
& sk0_5(X8,X1) = sk0_4(X8,X1)
& r2(sk0_7(X8,X1),sk0_4(X8,X1))
& r3(X1,X8,sk0_7(X8,X1)) ),
inference(skolemization,[status(esa)],[f5]) ).
fof(f39,plain,
! [X0,X1] : r3(X0,X1,sk0_7(X1,X0)),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f40,plain,
! [X2,X9] :
( r2(X9,sk0_10(X9,X2))
& r4(X2,sk0_10(X9,X2),sk0_9(X9,X2))
& sk0_9(X9,X2) = sk0_8(X9,X2)
& r3(sk0_11(X9,X2),X2,sk0_8(X9,X2))
& r4(X2,X9,sk0_11(X9,X2)) ),
inference(skolemization,[status(esa)],[f6]) ).
fof(f41,plain,
! [X0,X1] : r2(X0,sk0_10(X0,X1)),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f62,plain,
! [Y10] :
( ! [Y20] :
( ~ r1(Y20)
| Y20 != Y10 )
| ! [X7] : ~ r2(X7,Y10) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ r1(X0)
| X0 != X1
| ~ r2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f64,plain,
? [X1] :
! [Y2,Y1] :
( ? [Y4] :
( r1(Y4)
& Y1 = Y4 )
| ! [Y3] :
( ~ r3(X1,Y1,Y3)
| Y3 != Y2 ) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f65,plain,
? [X1] :
! [Y1] :
( ? [Y4] :
( r1(Y4)
& Y1 = Y4 )
| ! [Y3] :
( ~ r3(X1,Y1,Y3)
| ! [Y2] : Y3 != Y2 ) ),
inference(miniscoping,[status(esa)],[f64]) ).
fof(f66,plain,
! [Y1] :
( ( r1(sk0_21(Y1))
& Y1 = sk0_21(Y1) )
| ! [Y3] :
( ~ r3(sk0_20,Y1,Y3)
| ! [Y2] : Y3 != Y2 ) ),
inference(skolemization,[status(esa)],[f65]) ).
fof(f67,plain,
! [X0,X1,X2] :
( r1(sk0_21(X0))
| ~ r3(sk0_20,X0,X1)
| X1 != X2 ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f68,plain,
! [X0,X1,X2] :
( X0 = sk0_21(X0)
| ~ r3(sk0_20,X0,X1)
| X1 != X2 ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f85,plain,
! [X0,X1] :
( ~ r1(X0)
| ~ r2(X1,X0) ),
inference(destructive_equality_resolution,[status(esa)],[f63]) ).
fof(f86,plain,
! [X0,X1] :
( r1(sk0_21(X0))
| ~ r3(sk0_20,X0,X1) ),
inference(destructive_equality_resolution,[status(esa)],[f67]) ).
fof(f87,plain,
! [X0,X1] :
( X0 = sk0_21(X0)
| ~ r3(sk0_20,X0,X1) ),
inference(destructive_equality_resolution,[status(esa)],[f68]) ).
fof(f97,plain,
! [X0,X1] : ~ r1(sk0_10(X0,X1)),
inference(resolution,[status(thm)],[f41,f85]) ).
fof(f106,plain,
! [X0] : r1(sk0_21(X0)),
inference(resolution,[status(thm)],[f39,f86]) ).
fof(f107,plain,
! [X0] : X0 = sk0_21(X0),
inference(resolution,[status(thm)],[f39,f87]) ).
fof(f110,plain,
! [X0] : r1(X0),
inference(forward_demodulation,[status(thm)],[f107,f106]) ).
fof(f111,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f97,f110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUN062+2 : TPTP v8.1.2. Released v7.3.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n009.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 10:39:46 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.37 % Refutation found
% 0.20/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.37 % Elapsed time: 0.021879 seconds
% 0.20/0.37 % CPU time: 0.031161 seconds
% 0.20/0.37 % Memory used: 14.505 MB
%------------------------------------------------------------------------------