TSTP Solution File: NUN081+2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUN081+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:36:23 EDT 2024
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 97 ( 20 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 110 ( 47 ~; 34 |; 28 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 88 ( 66 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [Y24] :
! [X19] :
( ( ~ r1(X19)
& X19 != Y24 )
| ( r1(X19)
& X19 = Y24 ) ),
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(f8,axiom,
! [X4] :
? [Y9] :
( ? [Y16] :
( r1(Y16)
& r3(X4,Y16,Y9) )
& Y9 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
? [Y1,Y2,Y3] :
( r3(Y1,Y2,Y3)
& ? [Y4] :
( Y3 = Y4
& ? [Y5] :
( r2(Y5,Y4)
& ? [Y6] :
( r2(Y6,Y5)
& ? [Y7] :
( r1(Y7)
& r2(Y7,Y6) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ? [Y1,Y2,Y3] :
( r3(Y1,Y2,Y3)
& ? [Y4] :
( Y3 = Y4
& ? [Y5] :
( r2(Y5,Y4)
& ? [Y6] :
( r2(Y6,Y5)
& ? [Y7] :
( r1(Y7)
& r2(Y7,Y6) ) ) ) ) ),
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(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(f47,plain,
! [X4] :
( r1(sk0_13(X4))
& r3(X4,sk0_13(X4),sk0_12(X4))
& sk0_12(X4) = X4 ),
inference(skolemization,[status(esa)],[f8]) ).
fof(f48,plain,
! [X0] : r1(sk0_13(X0)),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f49,plain,
! [X0] : r3(X0,sk0_13(X0),sk0_12(X0)),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f50,plain,
! [X0] : sk0_12(X0) = X0,
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f64,plain,
! [Y1,Y2,Y3] :
( ~ r3(Y1,Y2,Y3)
| ! [Y4] :
( Y3 != Y4
| ! [Y5] :
( ~ r2(Y5,Y4)
| ! [Y6] :
( ~ r2(Y6,Y5)
| ! [Y7] :
( ~ r1(Y7)
| ~ r2(Y7,Y6) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f65,plain,
! [Y3] :
( ! [Y1,Y2] : ~ r3(Y1,Y2,Y3)
| ! [Y4] :
( Y3 != Y4
| ! [Y5] :
( ~ r2(Y5,Y4)
| ! [Y6] :
( ~ r2(Y6,Y5)
| ! [Y7] :
( ~ r1(Y7)
| ~ r2(Y7,Y6) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f64]) ).
fof(f66,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ r3(X0,X1,X2)
| X2 != X3
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f67,plain,
! [Y24,X19] :
( ~ pd0_0(X19,Y24)
| ( ~ r1(X19)
& X19 != Y24 ) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f68,plain,
! [X0,X1] :
( ~ pd0_0(X0,X1)
| ~ r1(X0) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ~ pd0_0(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ r3(X0,X1,X2)
| ~ r2(X3,X2)
| ~ r2(X4,X3)
| ~ r1(X5)
| ~ r2(X5,X4) ),
inference(destructive_equality_resolution,[status(esa)],[f66]) ).
fof(f85,plain,
! [X0] : ~ pd0_0(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f69]) ).
fof(f89,plain,
r1(sk0_0),
inference(resolution,[status(thm)],[f17,f85]) ).
fof(f98,plain,
! [X0] :
( ~ r1(X0)
| X0 = sk0_0 ),
inference(resolution,[status(thm)],[f68,f18]) ).
fof(f101,plain,
! [X0] : sk0_13(X0) = sk0_0,
inference(resolution,[status(thm)],[f98,f48]) ).
fof(f110,plain,
! [X0] : r3(X0,sk0_0,sk0_12(X0)),
inference(forward_demodulation,[status(thm)],[f101,f49]) ).
fof(f111,plain,
! [X0] : r3(X0,sk0_0,X0),
inference(forward_demodulation,[status(thm)],[f50,f110]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ~ r2(X0,X1)
| ~ r2(X2,X0)
| ~ r1(X3)
| ~ r2(X3,X2) ),
inference(resolution,[status(thm)],[f111,f84]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ r2(X2,X0) ),
inference(resolution,[status(thm)],[f112,f41]) ).
fof(f116,plain,
! [X0,X1] :
( ~ r1(X0)
| ~ r2(X0,X1) ),
inference(resolution,[status(thm)],[f113,f41]) ).
fof(f119,plain,
! [X0] : ~ r1(X0),
inference(resolution,[status(thm)],[f116,f41]) ).
fof(f122,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f89,f119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN081+2 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n012.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 : Mon Apr 29 22:31:57 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 0.12/0.34 % Refutation found
% 0.12/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.36 % Elapsed time: 0.019548 seconds
% 0.12/0.36 % CPU time: 0.030189 seconds
% 0.12/0.36 % Total memory used: 12.943 MB
% 0.12/0.36 % Net memory used: 12.875 MB
%------------------------------------------------------------------------------