%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO276+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 22.89s 3.46s
% Output : CNFRefutation 14.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 15
% Syntax : Number of formulae : 95 ( 34 unt; 0 def)
% Number of atoms : 497 ( 131 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 743 ( 341 ~; 345 |; 51 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-4 aty)
% Number of variables : 161 ( 150 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [Vd1096] :
( rpoint(Vd1096)
& ron(Vd1096,vd1094)
& ron(Vd1096,vd1091)
& rR(vd1080,vd1089,Vd1096) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [Vd1096] :
( rpoint(Vd1096)
& ron(Vd1096,vd1094)
& ron(Vd1096,vd1091)
& rR(vd1080,vd1089,Vd1096) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vd1094 = vskolem1095,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( rcircle(vskolem1095)
& rcenter(vd1080,vskolem1095)
& ron(vd1081,vskolem1095) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Vd340,Vd341,Vd342] :
( ( ? [Vd344] :
( rpoint(Vd344)
& Vd340 = Vd344 )
& ? [Vd345] :
( rpoint(Vd345)
& Vd341 = Vd345 )
& ? [Vd346] :
( rpoint(Vd346)
& Vd342 = Vd346 )
& rR(Vd341,Vd340,Vd342) )
=> ( rR(Vd341,Vd342,Vd340)
& Vd340 != Vd341
& Vd340 != Vd342
& ~ rR(Vd340,Vd341,Vd342) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [Vd263,Vd264,Vd265,Vd266,Vd267,Vd268,Vd269,Vd270] :
( ( rcircle(Vd264)
& Vd263 = Vd264
& rline(Vd266)
& Vd265 = Vd266
& rpoint(Vd268)
& Vd267 = Vd268
& rinside(Vd267,Vd263)
& ron(Vd267,Vd265)
& rpoint(Vd270)
& Vd269 = Vd270
& ron(Vd269,Vd265)
& Vd269 != Vd267 )
=> ? [Vd272] :
( rpoint(Vd272)
& ron(Vd272,Vd263)
& ron(Vd272,Vd265)
& rR(Vd267,Vd272,Vd269) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
vd1091 = vskolem1092,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( rline(vskolem1092)
& ron(vd1080,vskolem1092)
& ron(vd1089,vskolem1092) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
? [Vd1083] :
( rpoint(Vd1083)
& vd1080 = Vd1083 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
vf(vd1089,vd1085) = vf(vd1089,vd1080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
rpoint(vd1089),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
vd1085 = vd1086,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
vd1085 != vd1080,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
rpoint(vd1086),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [Vd334,Vd335] :
( rcenter(Vd334,Vd335)
=> rinside(Vd334,Vd335) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [Vd748,Vd749] :
( ( ? [Vd751] :
( rpoint(Vd751)
& Vd748 = Vd751 )
& ? [Vd752] :
( rpoint(Vd752)
& Vd749 = Vd752 ) )
=> ( vf(Vd748,Vd749) = v0
<=> Vd748 = Vd749 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f124,plain,
! [Vd1096] :
( ~ rpoint(Vd1096)
| ~ ron(Vd1096,vd1094)
| ~ ron(Vd1096,vd1091)
| ~ rR(vd1080,vd1089,Vd1096) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f125,plain,
! [X0] :
( ~ rpoint(X0)
| ~ ron(X0,vd1094)
| ~ ron(X0,vd1091)
| ~ rR(vd1080,vd1089,X0) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f126,plain,
vd1094 = vskolem1095,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f130,plain,
rcenter(vd1080,vskolem1095),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f131,plain,
rcircle(vskolem1095),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f132,plain,
! [Vd340,Vd341,Vd342] :
( ( rR(Vd341,Vd342,Vd340)
& Vd340 != Vd341
& Vd340 != Vd342
& ~ rR(Vd340,Vd341,Vd342) )
| ! [Vd344] :
( ~ rpoint(Vd344)
| Vd340 != Vd344 )
| ! [Vd345] :
( ~ rpoint(Vd345)
| Vd341 != Vd345 )
| ! [Vd346] :
( ~ rpoint(Vd346)
| Vd342 != Vd346 )
| ~ rR(Vd341,Vd340,Vd342) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5] :
( rR(X0,X2,X1)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X2 != X3
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f137,plain,
! [Vd263,Vd264,Vd265,Vd266,Vd267,Vd268,Vd269,Vd270] :
( ? [Vd272] :
( rpoint(Vd272)
& ron(Vd272,Vd263)
& ron(Vd272,Vd265)
& rR(Vd267,Vd272,Vd269) )
| ~ rcircle(Vd264)
| Vd263 != Vd264
| ~ rline(Vd266)
| Vd265 != Vd266
| ~ rpoint(Vd268)
| Vd267 != Vd268
| ~ rinside(Vd267,Vd263)
| ~ ron(Vd267,Vd265)
| ~ rpoint(Vd270)
| Vd269 != Vd270
| ~ ron(Vd269,Vd265)
| Vd269 = Vd267 ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f138,plain,
! [Vd263,Vd265,Vd267,Vd269] :
( ? [Vd272] :
( rpoint(Vd272)
& ron(Vd272,Vd263)
& ron(Vd272,Vd265)
& rR(Vd267,Vd272,Vd269) )
| ! [Vd264] :
( ~ rcircle(Vd264)
| Vd263 != Vd264
| ! [Vd266] :
( ~ rline(Vd266)
| Vd265 != Vd266
| ! [Vd268] :
( ~ rpoint(Vd268)
| Vd267 != Vd268
| ~ rinside(Vd267,Vd263)
| ~ ron(Vd267,Vd265)
| ! [Vd270] :
( ~ rpoint(Vd270)
| Vd269 != Vd270
| ~ ron(Vd269,Vd265)
| Vd269 = Vd267 ) ) ) ) ),
inference(miniscoping,[status(thm)],[f137]) ).
fof(f139,plain,
! [Vd263,Vd265,Vd267,Vd269] :
( ( rpoint(sK0_skl(Vd269,Vd267,Vd265,Vd263))
& ron(sK0_skl(Vd269,Vd267,Vd265,Vd263),Vd263)
& ron(sK0_skl(Vd269,Vd267,Vd265,Vd263),Vd265)
& rR(Vd267,sK0_skl(Vd269,Vd267,Vd265,Vd263),Vd269) )
| ! [Vd264] :
( ~ rcircle(Vd264)
| Vd263 != Vd264
| ! [Vd266] :
( ~ rline(Vd266)
| Vd265 != Vd266
| ! [Vd268] :
( ~ rpoint(Vd268)
| Vd267 != Vd268
| ~ rinside(Vd267,Vd263)
| ~ ron(Vd267,Vd265)
| ! [Vd270] :
( ~ rpoint(Vd270)
| Vd269 != Vd270
| ~ ron(Vd269,Vd265)
| Vd269 = Vd267 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vd272,sK0_skl(Vd269,Vd267,Vd265,Vd263))],[f138]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rR(X1,sK0_skl(X0,X1,X2,X4),X0)
| ~ rcircle(X7)
| X4 != X7
| ~ rline(X6)
| X2 != X6
| ~ rpoint(X5)
| X1 != X5
| ~ rinside(X1,X4)
| ~ ron(X1,X2)
| ~ rpoint(X3)
| X0 != X3
| ~ ron(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f141,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ron(sK0_skl(X0,X1,X2,X4),X2)
| ~ rcircle(X7)
| X4 != X7
| ~ rline(X6)
| X2 != X6
| ~ rpoint(X5)
| X1 != X5
| ~ rinside(X1,X4)
| ~ ron(X1,X2)
| ~ rpoint(X3)
| X0 != X3
| ~ ron(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ron(sK0_skl(X0,X1,X2,X4),X4)
| ~ rcircle(X7)
| X4 != X7
| ~ rline(X6)
| X2 != X6
| ~ rpoint(X5)
| X1 != X5
| ~ rinside(X1,X4)
| ~ ron(X1,X2)
| ~ rpoint(X3)
| X0 != X3
| ~ ron(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rpoint(sK0_skl(X0,X1,X2,X4))
| ~ rcircle(X7)
| X4 != X7
| ~ rline(X6)
| X2 != X6
| ~ rpoint(X5)
| X1 != X5
| ~ rinside(X1,X4)
| ~ ron(X1,X2)
| ~ rpoint(X3)
| X0 != X3
| ~ ron(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f150,plain,
vd1091 = vskolem1092,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f153,plain,
ron(vd1089,vskolem1092),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f154,plain,
ron(vd1080,vskolem1092),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f155,plain,
rline(vskolem1092),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f157,plain,
( rpoint(sK2_skl)
& vd1080 = sK2_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Vd1083,sK2_skl)],[f14]) ).
fof(f158,plain,
vd1080 = sK2_skl,
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
rpoint(sK2_skl),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f176,plain,
vf(vd1089,vd1085) = vf(vd1089,vd1080),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f177,plain,
rpoint(vd1089),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f178,plain,
vd1085 = vd1086,
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f180,plain,
vd1085 != vd1080,
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f181,plain,
rpoint(vd1086),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f190,plain,
! [Vd334,Vd335] :
( rinside(Vd334,Vd335)
| ~ rcenter(Vd334,Vd335) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f191,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f202,plain,
! [Vd748,Vd749] :
( ( vf(Vd748,Vd749) = v0
<=> Vd748 = Vd749 )
| ! [Vd751] :
( ~ rpoint(Vd751)
| Vd748 != Vd751 )
| ! [Vd752] :
( ~ rpoint(Vd752)
| Vd749 != Vd752 ) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f203,plain,
! [Vd748,Vd749] :
( ( ( Vd748 != Vd749
| vf(Vd748,Vd749) = v0 )
& ( Vd748 = Vd749
| vf(Vd748,Vd749) != v0 ) )
| ! [Vd751] :
( ~ rpoint(Vd751)
| Vd748 != Vd751 )
| ! [Vd752] :
( ~ rpoint(Vd752)
| Vd749 != Vd752 ) ),
inference(NNF_transformation,[status(thm)],[f202]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( X2 = X0
| vf(X2,X0) != v0
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( X2 != X0
| vf(X2,X0) = v0
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f648,plain,
! [X0,X1,X2] :
( rR(X0,X2,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rR(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f136]) ).
fof(f649,plain,
! [X0,X1,X2,X3] :
( rR(X1,sK0_skl(X0,X1,X2,X3),X0)
| ~ rcircle(X3)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rinside(X1,X3)
| ~ ron(X1,X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f140]) ).
fof(f650,plain,
! [X0,X1,X2,X3] :
( ron(sK0_skl(X0,X1,X2,X3),X2)
| ~ rcircle(X3)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rinside(X1,X3)
| ~ ron(X1,X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f141]) ).
fof(f651,plain,
! [X0,X1,X2,X3] :
( ron(sK0_skl(X0,X1,X2,X3),X3)
| ~ rcircle(X3)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rinside(X1,X3)
| ~ ron(X1,X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f142]) ).
fof(f652,plain,
! [X0,X1,X2,X3] :
( rpoint(sK0_skl(X0,X1,X2,X3))
| ~ rcircle(X3)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rinside(X1,X3)
| ~ ron(X1,X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f143]) ).
fof(f673,plain,
! [X0,X1] :
( X1 = X0
| vf(X1,X0) != v0
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f204]) ).
fof(f674,plain,
! [X1] :
( vf(X1,X1) = v0
| ~ rpoint(X1)
| ~ rpoint(X1) ),
inference(destructive_equality_resolution,[status(thm)],[f205]) ).
fof(f675,plain,
! [X0] :
( vf(X0,X0) = v0
| ~ rpoint(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f674]) ).
fof(f932,plain,
rcircle(vd1094),
inference(forward_demodulation,[status(thm)],[f126,f131]) ).
fof(f934,plain,
rline(vd1091),
inference(forward_demodulation,[status(thm)],[f150,f155]) ).
fof(f936,plain,
rpoint(vd1080),
inference(forward_demodulation,[status(thm)],[f158,f159]) ).
fof(f937,plain,
rpoint(vd1085),
inference(forward_demodulation,[status(thm)],[f178,f181]) ).
fof(f952,plain,
rcenter(vd1080,vd1094),
inference(forward_demodulation,[status(thm)],[f126,f130]) ).
fof(f953,plain,
ron(vd1089,vd1091),
inference(forward_demodulation,[status(thm)],[f150,f153]) ).
fof(f966,plain,
ron(vd1080,vd1091),
inference(forward_demodulation,[status(thm)],[f150,f154]) ).
fof(f991,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,sK0_skl(X0,X1,X2,X3))
| ~ rpoint(sK0_skl(X0,X1,X2,X3))
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rcircle(X3)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rinside(X1,X3)
| ~ ron(X1,X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f649,f648]) ).
fof(f1003,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,sK0_skl(X0,X1,X2,X3))
| ~ rpoint(sK0_skl(X0,X1,X2,X3))
| ~ rcircle(X3)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rinside(X1,X3)
| ~ ron(X1,X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| X0 = X1 ),
inference(duplicate_literals_removal,[status(thm)],[f991]) ).
fof(f1179,plain,
rinside(vd1080,vd1094),
inference(resolution,[status(thm)],[f191,f952]) ).
fof(f1337,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,sK0_skl(X0,X1,X2,X3))
| ~ rcircle(X3)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rinside(X1,X3)
| ~ ron(X1,X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| X0 = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1003,f652]) ).
fof(f1340,plain,
! [X0,X1] :
( ~ rpoint(sK0_skl(vd1089,vd1080,X0,X1))
| ~ ron(sK0_skl(vd1089,vd1080,X0,X1),vd1094)
| ~ ron(sK0_skl(vd1089,vd1080,X0,X1),vd1091)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rpoint(vd1080)
| ~ rinside(vd1080,X1)
| ~ ron(vd1080,X0)
| ~ rpoint(vd1089)
| ~ ron(vd1089,X0)
| vd1089 = vd1080 ),
inference(resolution,[status(thm)],[f1337,f125]) ).
fof(f1359,plain,
! [X0,X1] :
( ~ rpoint(sK0_skl(vd1089,vd1080,X0,X1))
| ~ ron(sK0_skl(vd1089,vd1080,X0,X1),vd1094)
| ~ ron(sK0_skl(vd1089,vd1080,X0,X1),vd1091)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rpoint(vd1080)
| ~ rinside(vd1080,X1)
| ~ ron(vd1080,X0)
| ~ ron(vd1089,X0)
| vd1089 = vd1080 ),
inference(forward_subsumption_resolution,[status(thm)],[f1340,f177]) ).
fof(f2181,plain,
! [X0,X1] :
( ~ rpoint(sK0_skl(vd1089,vd1080,X0,X1))
| ~ ron(sK0_skl(vd1089,vd1080,X0,X1),vd1094)
| ~ ron(sK0_skl(vd1089,vd1080,X0,X1),vd1091)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(vd1080,X1)
| ~ ron(vd1080,X0)
| ~ ron(vd1089,X0)
| vd1089 = vd1080 ),
inference(forward_subsumption_resolution,[status(thm)],[f1359,f936]) ).
fof(f2182,plain,
! [X0] :
( ~ rcircle(vd1094)
| ~ rline(X0)
| ~ rpoint(vd1080)
| ~ rinside(vd1080,vd1094)
| ~ ron(vd1080,X0)
| ~ rpoint(vd1089)
| ~ ron(vd1089,X0)
| vd1089 = vd1080
| ~ rpoint(sK0_skl(vd1089,vd1080,X0,vd1094))
| ~ ron(sK0_skl(vd1089,vd1080,X0,vd1094),vd1091)
| ~ rcircle(vd1094)
| ~ rline(X0)
| ~ rinside(vd1080,vd1094)
| ~ ron(vd1080,X0)
| ~ ron(vd1089,X0)
| vd1089 = vd1080 ),
inference(resolution,[status(thm)],[f2181,f651]) ).
fof(f2184,plain,
! [X0] :
( ~ rpoint(vd1080)
| ~ rpoint(vd1089)
| ~ rpoint(sK0_skl(vd1089,vd1080,X0,vd1094))
| ~ ron(sK0_skl(vd1089,vd1080,X0,vd1094),vd1091)
| ~ rcircle(vd1094)
| ~ rline(X0)
| ~ rinside(vd1080,vd1094)
| ~ ron(vd1080,X0)
| ~ ron(vd1089,X0)
| vd1089 = vd1080 ),
inference(duplicate_literals_removal,[status(thm)],[f2182]) ).
fof(f2185,plain,
! [X0] :
( ~ rpoint(vd1080)
| ~ rpoint(vd1089)
| ~ rpoint(sK0_skl(vd1089,vd1080,X0,vd1094))
| ~ ron(sK0_skl(vd1089,vd1080,X0,vd1094),vd1091)
| ~ rcircle(vd1094)
| ~ rline(X0)
| ~ ron(vd1080,X0)
| ~ ron(vd1089,X0)
| vd1089 = vd1080 ),
inference(forward_subsumption_resolution,[status(thm)],[f2184,f1179]) ).
fof(f2187,plain,
! [X0] :
( ~ rpoint(vd1080)
| ~ rpoint(vd1089)
| ~ rpoint(sK0_skl(vd1089,vd1080,X0,vd1094))
| ~ ron(sK0_skl(vd1089,vd1080,X0,vd1094),vd1091)
| ~ rline(X0)
| ~ ron(vd1080,X0)
| ~ ron(vd1089,X0)
| vd1089 = vd1080 ),
inference(forward_subsumption_resolution,[status(thm)],[f2185,f932]) ).
fof(f2188,plain,
( ~ rcircle(vd1094)
| ~ rline(vd1091)
| ~ rpoint(vd1080)
| ~ rinside(vd1080,vd1094)
| ~ ron(vd1080,vd1091)
| ~ rpoint(vd1089)
| ~ ron(vd1089,vd1091)
| vd1089 = vd1080
| ~ rpoint(vd1080)
| ~ rpoint(vd1089)
| ~ rpoint(sK0_skl(vd1089,vd1080,vd1091,vd1094))
| ~ rline(vd1091)
| ~ ron(vd1080,vd1091)
| ~ ron(vd1089,vd1091)
| vd1089 = vd1080 ),
inference(resolution,[status(thm)],[f2187,f650]) ).
fof(f2189,plain,
( ~ rcircle(vd1094)
| ~ rinside(vd1080,vd1094)
| ~ rpoint(vd1080)
| ~ rpoint(vd1089)
| ~ rpoint(sK0_skl(vd1089,vd1080,vd1091,vd1094))
| ~ rline(vd1091)
| ~ ron(vd1080,vd1091)
| ~ ron(vd1089,vd1091)
| vd1089 = vd1080 ),
inference(duplicate_literals_removal,[status(thm)],[f2188]) ).
fof(f2190,plain,
( ~ rcircle(vd1094)
| ~ rinside(vd1080,vd1094)
| ~ rpoint(vd1080)
| ~ rpoint(vd1089)
| ~ rpoint(sK0_skl(vd1089,vd1080,vd1091,vd1094))
| ~ rline(vd1091)
| ~ ron(vd1080,vd1091)
| vd1089 = vd1080 ),
inference(forward_subsumption_resolution,[status(thm)],[f2189,f953]) ).
fof(f2191,plain,
( ~ rcircle(vd1094)
| ~ rinside(vd1080,vd1094)
| ~ rpoint(vd1080)
| ~ rpoint(vd1089)
| ~ rpoint(sK0_skl(vd1089,vd1080,vd1091,vd1094))
| ~ rline(vd1091)
| vd1089 = vd1080 ),
inference(forward_subsumption_resolution,[status(thm)],[f2190,f966]) ).
fof(f2192,plain,
( ~ rcircle(vd1094)
| ~ rline(vd1091)
| ~ rpoint(vd1080)
| ~ rinside(vd1080,vd1094)
| ~ ron(vd1080,vd1091)
| ~ rpoint(vd1089)
| ~ ron(vd1089,vd1091)
| vd1089 = vd1080
| ~ rcircle(vd1094)
| ~ rinside(vd1080,vd1094)
| ~ rpoint(vd1080)
| ~ rpoint(vd1089)
| ~ rline(vd1091)
| vd1089 = vd1080 ),
inference(resolution,[status(thm)],[f2191,f652]) ).
fof(f2193,plain,
( ~ ron(vd1080,vd1091)
| ~ ron(vd1089,vd1091)
| ~ rcircle(vd1094)
| ~ rinside(vd1080,vd1094)
| ~ rpoint(vd1080)
| ~ rpoint(vd1089)
| ~ rline(vd1091)
| vd1089 = vd1080 ),
inference(duplicate_literals_removal,[status(thm)],[f2192]) ).
fof(f2194,plain,
( ~ ron(vd1080,vd1091)
| ~ ron(vd1089,vd1091)
| ~ rcircle(vd1094)
| ~ rinside(vd1080,vd1094)
| ~ rpoint(vd1080)
| ~ rpoint(vd1089)
| vd1089 = vd1080 ),
inference(forward_subsumption_resolution,[status(thm)],[f2193,f934]) ).
fof(f2319,plain,
( ~ ron(vd1080,vd1091)
| ~ ron(vd1089,vd1091)
| ~ rcircle(vd1094)
| ~ rinside(vd1080,vd1094)
| ~ rpoint(vd1080)
| vd1089 = vd1080 ),
inference(forward_subsumption_resolution,[status(thm)],[f2194,f177]) ).
fof(f2320,plain,
( ~ ron(vd1080,vd1091)
| ~ ron(vd1089,vd1091)
| ~ rcircle(vd1094)
| ~ rpoint(vd1080)
| vd1089 = vd1080 ),
inference(resolution,[status(thm)],[f2319,f1179]) ).
fof(f2321,plain,
( ~ ron(vd1080,vd1091)
| ~ ron(vd1089,vd1091)
| ~ rcircle(vd1094)
| vd1089 = vd1080 ),
inference(forward_subsumption_resolution,[status(thm)],[f2320,f936]) ).
fof(f2322,plain,
( ~ ron(vd1080,vd1091)
| ~ ron(vd1089,vd1091)
| vd1089 = vd1080 ),
inference(forward_subsumption_resolution,[status(thm)],[f2321,f932]) ).
fof(f2323,plain,
( ~ ron(vd1080,vd1091)
| vd1089 = vd1080 ),
inference(resolution,[status(thm)],[f2322,f953]) ).
fof(f2324,plain,
vd1089 = vd1080,
inference(forward_subsumption_resolution,[status(thm)],[f2323,f966]) ).
fof(f2338,plain,
vf(vd1089,vd1085) = vf(vd1080,vd1080),
inference(backward_demodulation,[status(thm)],[f2324,f176]) ).
fof(f2372,plain,
vf(vd1080,vd1085) = vf(vd1080,vd1080),
inference(forward_demodulation,[status(thm)],[f2324,f2338]) ).
fof(f2396,plain,
( vd1080 = vd1085
| vf(vd1080,vd1080) != v0
| ~ rpoint(vd1080)
| ~ rpoint(vd1085) ),
inference(paramodulation,[status(thm)],[f2372,f673]) ).
fof(f2402,plain,
( vd1080 = vd1085
| vf(vd1080,vd1080) != v0
| ~ rpoint(vd1080) ),
inference(forward_subsumption_resolution,[status(thm)],[f2396,f937]) ).
fof(f2416,plain,
( vd1080 = vd1085
| vf(vd1080,vd1080) != v0 ),
inference(forward_subsumption_resolution,[status(thm)],[f2402,f936]) ).
fof(f2417,plain,
( ~ rpoint(vd1080)
| vd1080 = vd1085 ),
inference(resolution,[status(thm)],[f2416,f675]) ).
fof(f2418,plain,
~ rpoint(vd1080),
inference(forward_subsumption_resolution,[status(thm)],[f2417,f180]) ).
fof(f2419,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2418,f936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO276+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 15:01:49 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.40 % Drodi V4.1.1
% 22.89/3.46 % Refutation found
% 22.89/3.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 22.89/3.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.19/3.50 % Elapsed time: 3.107923 seconds
% 14.19/3.50 % CPU time: 24.239864 seconds
% 14.19/3.50 % Total memory used: 212.364 MB
% 14.19/3.50 % Net memory used: 202.057 MB
%------------------------------------------------------------------------------