%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUN070+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:57:12 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 76 ( 30 ~; 22 |; 24 &)
% ( 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 : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 60 ( 42 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X2,X9] :
? [Y2] :
( ? [Y6] :
( r4(X2,X9,Y6)
& r3(Y6,X2,Y2) )
& ? [Y3] :
( ? [Y14] :
( r4(X2,Y14,Y3)
& r2(X9,Y14) )
& id(Y3,Y2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X4] :
? [Y9] :
( ? [Y16] :
( r3(X4,Y16,Y9)
& r1(Y16) )
& id(Y9,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
? [Y1] :
( ? [Y3] :
( ? [Y6] :
( r2(Y6,Y3)
& r1(Y6) )
& id(Y1,Y3) )
& ? [Y2] :
( ? [Y5] :
( r2(Y5,Y2)
& r1(Y5) )
& ? [Y4] :
( r3(Y2,Y4,Y1)
& r1(Y4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ? [Y1] :
( ? [Y3] :
( ? [Y6] :
( r2(Y6,Y3)
& r1(Y6) )
& id(Y1,Y3) )
& ? [Y2] :
( ? [Y5] :
( r2(Y5,Y2)
& r1(Y5) )
& ? [Y4] :
( r3(Y2,Y4,Y1)
& r1(Y4) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f67,plain,
! [X2,X9] :
( r4(X2,X9,sK11_skl(X9,X2))
& r3(sK11_skl(X9,X2),X2,sK8_skl(X9,X2))
& r4(X2,sK10_skl(X9,X2),sK9_skl(X9,X2))
& r2(X9,sK10_skl(X9,X2))
& id(sK9_skl(X9,X2),sK8_skl(X9,X2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl,sK10_skl,sK11_skl]),skolemize(Y2,sK8_skl(X9,X2)),skolemize(Y3,sK9_skl(X9,X2)),skolemize(Y14,sK10_skl(X9,X2)),skolemize(Y6,sK11_skl(X9,X2))],[f13]) ).
fof(f69,plain,
! [X0,X1] : r2(X0,sK10_skl(X0,X1)),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f74,plain,
! [X4] :
( r3(X4,sK13_skl(X4),sK12_skl(X4))
& r1(sK13_skl(X4))
& id(sK12_skl(X4),X4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(Y9,sK12_skl(X4)),skolemize(Y16,sK13_skl(X4))],[f15]) ).
fof(f75,plain,
! [X0] : id(sK12_skl(X0),X0),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f76,plain,
! [X0] : r1(sK13_skl(X0)),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f77,plain,
! [X0] : r3(X0,sK13_skl(X0),sK12_skl(X0)),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f91,plain,
! [Y1] :
( ! [Y3] :
( ! [Y6] :
( ~ r2(Y6,Y3)
| ~ r1(Y6) )
| ~ id(Y1,Y3) )
| ! [Y2] :
( ! [Y5] :
( ~ r2(Y5,Y2)
| ~ r1(Y5) )
| ! [Y4] :
( ~ r3(Y2,Y4,Y1)
| ~ r1(Y4) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f92,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X5)
| ~ id(X2,X4)
| ~ r2(X3,X1)
| ~ r1(X3)
| ~ r3(X1,X0,X2)
| ~ r1(X0) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f139,plain,
! [X0,X1,X2,X3,X4] :
( ~ r2(sK13_skl(X3),X4)
| ~ id(X2,X4)
| ~ r2(sK13_skl(X3),X1)
| ~ r3(X1,X0,X2)
| ~ r1(X0) ),
inference(resolution,[status(thm)],[f76,f92]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ id(X2,sK10_skl(sK13_skl(X3),X4))
| ~ r2(sK13_skl(X3),X1)
| ~ r3(X1,X0,X2)
| ~ r1(X0) ),
inference(resolution,[status(thm)],[f69,f139]) ).
fof(f230,plain,
! [X0,X1,X2] :
( ~ id(sK12_skl(X0),sK10_skl(sK13_skl(X1),X2))
| ~ r2(sK13_skl(X1),X0)
| ~ r1(sK13_skl(X0)) ),
inference(resolution,[status(thm)],[f77,f160]) ).
fof(f236,plain,
! [X0,X1,X2] :
( ~ id(sK12_skl(X1),sK10_skl(sK13_skl(X0),X2))
| ~ r2(sK13_skl(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f230,f76]) ).
fof(f252,plain,
! [X0,X1,X2] : ~ id(sK12_skl(sK10_skl(sK13_skl(X0),X1)),sK10_skl(sK13_skl(X0),X2)),
inference(resolution,[status(thm)],[f236,f69]) ).
fof(f254,plain,
$false,
inference(resolution,[status(thm)],[f252,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN070+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n006.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 03:24:13 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.049860 seconds
% 0.12/0.41 % CPU time: 0.138801 seconds
% 0.12/0.41 % Total memory used: 18.797 MB
% 0.12/0.41 % Net memory used: 18.650 MB
%------------------------------------------------------------------------------