%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO271+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 12:24:48 PM UTC 2026
% Result : Theorem 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 110 ( 35 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 143 ( 61 ~; 55 |; 24 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 48 ( 45 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [Vdthex] :
( ( rcircle(Vdthex)
& rcenter(vd1055,Vdthex)
& ron(vd1057,Vdthex) )
=> Vdthex = vd1061 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [Vdthex] :
( ( rcircle(Vdthex)
& rcenter(vd1055,Vdthex)
& ron(vd1057,Vdthex) )
=> Vdthex = vd1061 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( rcircle(vd1061)
& rcenter(vd1055,vd1061)
& ron(vd1057,vd1061) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( rpoint(vd1056)
& vd1055 = vd1056
& rpoint(vd1058)
& vd1055 != vd1057
& vd1057 = vd1058 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [Vd837,Vd838,Vd842,Vd843,Vd844] :
( ( ? [Vd840] :
( rpoint(Vd840)
& Vd837 = Vd840 )
& ? [Vd841] :
( rpoint(Vd841)
& Vd838 = Vd841 )
& rcenter(Vd842,Vd843)
& rcenter(Vd842,Vd844)
& ron(Vd837,Vd843)
& ron(Vd838,Vd844)
& vf(Vd842,Vd837) = vf(Vd842,Vd838) )
=> Vd843 = Vd844 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f107,plain,
? [Vdthex] :
( Vdthex != vd1061
& rcircle(Vdthex)
& rcenter(vd1055,Vdthex)
& ron(vd1057,Vdthex) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f108,plain,
( sK0_skl != vd1061
& rcircle(sK0_skl)
& rcenter(vd1055,sK0_skl)
& ron(vd1057,sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vdthex,sK0_skl)],[f107]) ).
fof(f109,plain,
ron(vd1057,sK0_skl),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f110,plain,
rcenter(vd1055,sK0_skl),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f112,plain,
sK0_skl != vd1061,
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f113,plain,
ron(vd1057,vd1061),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
rcenter(vd1055,vd1061),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
vd1057 = vd1058,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f118,plain,
rpoint(vd1058),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f174,plain,
! [Vd837,Vd838,Vd842,Vd843,Vd844] :
( Vd843 = Vd844
| ! [Vd840] :
( ~ rpoint(Vd840)
| Vd837 != Vd840 )
| ! [Vd841] :
( ~ rpoint(Vd841)
| Vd838 != Vd841 )
| ~ rcenter(Vd842,Vd843)
| ~ rcenter(Vd842,Vd844)
| ~ ron(Vd837,Vd843)
| ~ ron(Vd838,Vd844)
| vf(Vd842,Vd837) != vf(Vd842,Vd838) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f175,plain,
! [Vd843,Vd844] :
( Vd843 = Vd844
| ! [Vd837] :
( ! [Vd840] :
( ~ rpoint(Vd840)
| Vd837 != Vd840 )
| ! [Vd838] :
( ! [Vd841] :
( ~ rpoint(Vd841)
| Vd838 != Vd841 )
| ! [Vd842] :
( ~ rcenter(Vd842,Vd843)
| ~ rcenter(Vd842,Vd844)
| ~ ron(Vd837,Vd843)
| ~ ron(Vd838,Vd844)
| vf(Vd842,Vd837) != vf(Vd842,Vd838) ) ) ) ),
inference(miniscoping,[status(thm)],[f174]) ).
fof(f176,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X4 = X3
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rcenter(X0,X4)
| ~ rcenter(X0,X3)
| ~ ron(X1,X4)
| ~ ron(X2,X3)
| vf(X0,X1) != vf(X0,X2) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f629,plain,
! [X0,X1,X2,X3,X4] :
( X4 = X3
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rcenter(X0,X4)
| ~ rcenter(X0,X3)
| ~ ron(X1,X4)
| ~ ron(X2,X3)
| vf(X0,X1) != vf(X0,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f176]) ).
fof(f828,plain,
rpoint(vd1057),
inference(forward_demodulation,[status(thm)],[f116,f118]) ).
fof(f839,plain,
! [X0,X1,X2,X3] :
( X2 = X1
| ~ rpoint(X0)
| ~ rpoint(X0)
| ~ rcenter(X3,X2)
| ~ rcenter(X3,X1)
| ~ ron(X0,X2)
| ~ ron(X0,X1) ),
inference(equality_resolution,[status(thm)],[f629]) ).
fof(f842,plain,
! [X0,X1,X2,X3] :
( X2 = X1
| ~ rpoint(X0)
| ~ rcenter(X3,X2)
| ~ rcenter(X3,X1)
| ~ ron(X0,X2)
| ~ ron(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f839]) ).
fof(f843,plain,
! [X0,X1] :
( vd1061 = X0
| ~ rpoint(vd1057)
| ~ rcenter(X1,vd1061)
| ~ rcenter(X1,X0)
| ~ ron(vd1057,X0) ),
inference(resolution,[status(thm)],[f842,f113]) ).
fof(f852,plain,
! [X0,X1] :
( vd1061 = X0
| ~ rcenter(X1,vd1061)
| ~ rcenter(X1,X0)
| ~ ron(vd1057,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f843,f828]) ).
fof(f856,plain,
( vd1061 = sK0_skl
| ~ rcenter(vd1055,vd1061)
| ~ ron(vd1057,sK0_skl) ),
inference(resolution,[status(thm)],[f852,f110]) ).
fof(f859,plain,
( vd1061 = sK0_skl
| ~ rcenter(vd1055,vd1061) ),
inference(forward_subsumption_resolution,[status(thm)],[f856,f109]) ).
fof(f864,plain,
vd1061 != vd1061,
inference(backward_demodulation,[status(thm)],[f866,f112]) ).
fof(f866,plain,
vd1061 = sK0_skl,
inference(forward_subsumption_resolution,[status(thm)],[f859,f114]) ).
fof(f867,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f864]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO271+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n010.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 20 15:01:54 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.077115 seconds
% 0.14/0.43 % CPU time: 0.252358 seconds
% 0.14/0.43 % Total memory used: 117.970 MB
% 0.14/0.43 % Net memory used: 117.546 MB
%------------------------------------------------------------------------------