TSTP Solution File: NUN070+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUN070+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:36:21 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 82 ( 30 ~; 22 |; 30 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 0 con; 1-2 aty)
% Number of variables : 68 ( 47 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( id(Y5,Y4)
& ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) ) )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X4] :
? [Y9] :
( id(Y9,X4)
& ? [Y16] :
( r1(Y16)
& r3(X4,Y16,Y9) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X5] :
? [Y8] :
( ? [Y17] :
( r1(Y17)
& r4(X5,Y17,Y8) )
& ? [Y18] :
( id(Y8,Y18)
& r1(Y18) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
? [Y1] :
( ? [Y2] :
( ? [Y4] :
( r1(Y4)
& r3(Y2,Y4,Y1) )
& ? [Y5] :
( r1(Y5)
& r2(Y5,Y2) ) )
& ? [Y3] :
( id(Y1,Y3)
& ? [Y6] :
( r1(Y6)
& r2(Y6,Y3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ? [Y1] :
( ? [Y2] :
( ? [Y4] :
( r1(Y4)
& r3(Y2,Y4,Y1) )
& ? [Y5] :
( r1(Y5)
& r2(Y5,Y2) ) )
& ? [Y3] :
( id(Y1,Y3)
& ? [Y6] :
( r1(Y6)
& r2(Y6,Y3) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f61,plain,
! [X1,X8] :
( id(sk0_5(X8,X1),sk0_4(X8,X1))
& r2(X8,sk0_6(X8,X1))
& r3(X1,sk0_6(X8,X1),sk0_5(X8,X1))
& r2(sk0_7(X8,X1),sk0_4(X8,X1))
& r3(X1,X8,sk0_7(X8,X1)) ),
inference(skolemization,[status(esa)],[f12]) ).
fof(f63,plain,
! [X0,X1] : r2(X0,sk0_6(X0,X1)),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f74,plain,
! [X4] :
( id(sk0_12(X4),X4)
& r1(sk0_13(X4))
& r3(X4,sk0_13(X4),sk0_12(X4)) ),
inference(skolemization,[status(esa)],[f15]) ).
fof(f75,plain,
! [X0] : id(sk0_12(X0),X0),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f76,plain,
! [X0] : r1(sk0_13(X0)),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f77,plain,
! [X0] : r3(X0,sk0_13(X0),sk0_12(X0)),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f78,plain,
! [X5] :
( r1(sk0_15(X5))
& r4(X5,sk0_15(X5),sk0_14(X5))
& id(sk0_14(X5),sk0_16(X5))
& r1(sk0_16(X5)) ),
inference(skolemization,[status(esa)],[f16]) ).
fof(f79,plain,
! [X0] : r1(sk0_15(X0)),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f91,plain,
! [Y1] :
( ! [Y2] :
( ! [Y4] :
( ~ r1(Y4)
| ~ r3(Y2,Y4,Y1) )
| ! [Y5] :
( ~ r1(Y5)
| ~ r2(Y5,Y2) ) )
| ! [Y3] :
( ~ id(Y1,Y3)
| ! [Y6] :
( ~ r1(Y6)
| ~ r2(Y6,Y3) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f92,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ r1(X0)
| ~ r3(X1,X0,X2)
| ~ r1(X3)
| ~ r2(X3,X1)
| ~ id(X2,X4)
| ~ r1(X5)
| ~ r2(X5,X4) ),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4] :
( ~ r1(X0)
| ~ r3(X1,X0,X2)
| ~ r2(sk0_15(X3),X1)
| ~ id(X2,X4)
| ~ r2(sk0_15(X3),X4) ),
inference(resolution,[status(thm)],[f79,f92]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4] :
( ~ r1(X0)
| ~ r3(X1,X0,X2)
| ~ r2(sk0_15(X3),X1)
| ~ id(X2,sk0_6(sk0_15(X3),X4)) ),
inference(resolution,[status(thm)],[f63,f129]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ r1(X0)
| ~ r3(sk0_6(sk0_15(X1),X2),X0,X3)
| ~ id(X3,sk0_6(sk0_15(X1),X4)) ),
inference(resolution,[status(thm)],[f140,f63]) ).
fof(f297,plain,
! [X0,X1,X2] :
( ~ r1(sk0_13(sk0_6(sk0_15(X0),X1)))
| ~ id(sk0_12(sk0_6(sk0_15(X0),X1)),sk0_6(sk0_15(X0),X2)) ),
inference(resolution,[status(thm)],[f157,f77]) ).
fof(f298,plain,
! [X0,X1,X2] : ~ id(sk0_12(sk0_6(sk0_15(X0),X1)),sk0_6(sk0_15(X0),X2)),
inference(forward_subsumption_resolution,[status(thm)],[f297,f76]) ).
fof(f300,plain,
$false,
inference(resolution,[status(thm)],[f298,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUN070+1 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:44:48 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.024868 seconds
% 0.13/0.37 % CPU time: 0.086811 seconds
% 0.13/0.37 % Total memory used: 3.224 MB
% 0.13/0.37 % Net memory used: 3.154 MB
%------------------------------------------------------------------------------