%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO333+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 : n017.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 12:24:55 PM UTC 2026
% Result : Theorem 11.88s 2.07s
% Output : CNFRefutation 11.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 14
% Syntax : Number of formulae : 91 ( 29 unt; 0 def)
% Number of atoms : 577 ( 189 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 864 ( 378 ~; 420 |; 62 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 204 ( 184 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1371,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
vangle(vd1371,vd1362,vd1363) != vangle(vd1361,vd1363,vd1362),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
rR(vd1371,vd1362,vd1361),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
rpoint(vd1371),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
? [Vd1367] :
( rpoint(Vd1367)
& vd1362 = Vd1367 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
vangle(vd1361,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
vd1362 != vd1363,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
vd1361 != vd1363,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
vd1361 != vd1362,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
? [Vd1368] :
( rpoint(Vd1368)
& vd1363 = Vd1368 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
? [Vd1366] :
( rpoint(Vd1366)
& vd1361 = Vd1366 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [Vd362,Vd363,Vd364,Vd369,Vd370] :
( ( ? [Vd366] :
( rpoint(Vd366)
& Vd362 = Vd366 )
& ? [Vd367] :
( rpoint(Vd367)
& Vd363 = Vd367 )
& ? [Vd368] :
( rpoint(Vd368)
& Vd364 = Vd368 )
& rline(Vd370)
& rR(Vd363,Vd362,Vd364)
& ron(Vd362,Vd369)
& ron(Vd364,Vd369)
& Vd369 = Vd370 )
=> ron(Vd363,Vd369) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,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(f52,axiom,
! [Vd908,Vd909,Vd910,Vd911,Vd912,Vd919,Vd920] :
( ( ? [Vd914] :
( rpoint(Vd914)
& Vd908 = Vd914 )
& ? [Vd915] :
( rpoint(Vd915)
& Vd909 = Vd915 )
& ? [Vd916] :
( rpoint(Vd916)
& Vd910 = Vd916 )
& ? [Vd917] :
( rpoint(Vd917)
& Vd911 = Vd917 )
& ? [Vd918] :
( rpoint(Vd918)
& Vd912 = Vd918 )
& ? [Vd922] :
( rline(Vd922)
& Vd919 = Vd922 )
& ? [Vd923] :
( rline(Vd923)
& Vd920 = Vd923 )
& ron(Vd908,Vd919)
& ron(Vd909,Vd919)
& ron(Vd911,Vd919)
& ron(Vd910,Vd920)
& ron(Vd912,Vd920)
& Vd909 != Vd908
& Vd910 != Vd908
& Vd911 != Vd908
& Vd912 != Vd908
& ~ rR(Vd908,Vd909,Vd911)
& ~ rR(Vd908,Vd910,Vd912) )
=> vangle(Vd909,Vd908,Vd910) = vangle(Vd911,Vd908,Vd912) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [Vd217,Vd218] :
( ( ? [Vd220] :
( rpoint(Vd220)
& Vd217 = Vd220 )
& ? [Vd221] :
( rpoint(Vd221)
& Vd218 = Vd221 )
& Vd217 != Vd218 )
=> ? [Vd223] :
( rline(Vd223)
& ron(Vd217,Vd223)
& ron(Vd218,Vd223) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f131,plain,
vangle(vd1371,vd1362,vd1363) != vangle(vd1361,vd1363,vd1362),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f134,plain,
rR(vd1371,vd1362,vd1361),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f135,plain,
rpoint(vd1371),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f136,plain,
( rpoint(sK0_skl)
& vd1362 = sK0_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vd1367,sK0_skl)],[f7]) ).
fof(f137,plain,
vd1362 = sK0_skl,
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f138,plain,
rpoint(sK0_skl),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f141,plain,
vangle(vd1361,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f142,plain,
vd1362 != vd1363,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f143,plain,
vd1361 != vd1363,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f144,plain,
vd1361 != vd1362,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f145,plain,
( rpoint(sK1_skl)
& vd1363 = sK1_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Vd1368,sK1_skl)],[f13]) ).
fof(f146,plain,
vd1363 = sK1_skl,
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
rpoint(sK1_skl),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f148,plain,
( rpoint(sK2_skl)
& vd1361 = sK2_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Vd1366,sK2_skl)],[f14]) ).
fof(f149,plain,
vd1361 = sK2_skl,
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
rpoint(sK2_skl),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f229,plain,
! [Vd362,Vd363,Vd364,Vd369,Vd370] :
( ron(Vd363,Vd369)
| ! [Vd366] :
( ~ rpoint(Vd366)
| Vd362 != Vd366 )
| ! [Vd367] :
( ~ rpoint(Vd367)
| Vd363 != Vd367 )
| ! [Vd368] :
( ~ rpoint(Vd368)
| Vd364 != Vd368 )
| ~ rline(Vd370)
| ~ rR(Vd363,Vd362,Vd364)
| ~ ron(Vd362,Vd369)
| ~ ron(Vd364,Vd369)
| Vd369 != Vd370 ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f230,plain,
! [Vd363,Vd369] :
( ron(Vd363,Vd369)
| ! [Vd362] :
( ! [Vd366] :
( ~ rpoint(Vd366)
| Vd362 != Vd366 )
| ! [Vd367] :
( ~ rpoint(Vd367)
| Vd363 != Vd367 )
| ! [Vd364] :
( ! [Vd368] :
( ~ rpoint(Vd368)
| Vd364 != Vd368 )
| ! [Vd370] :
( ~ rline(Vd370)
| ~ rR(Vd363,Vd362,Vd364)
| ~ ron(Vd362,Vd369)
| ~ ron(Vd364,Vd369)
| Vd369 != Vd370 ) ) ) ),
inference(miniscoping,[status(thm)],[f229]) ).
fof(f231,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ron(X4,X0)
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X6)
| X4 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rline(X1)
| ~ rR(X4,X3,X2)
| ~ ron(X3,X0)
| ~ ron(X2,X0)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f232,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)],[f38]) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ rR(X1,X0,X2)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X2 != X3
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4,X5] :
( X1 != X2
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X2 != X3
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f271,plain,
! [Vd908,Vd909,Vd910,Vd911,Vd912,Vd919,Vd920] :
( vangle(Vd909,Vd908,Vd910) = vangle(Vd911,Vd908,Vd912)
| ! [Vd914] :
( ~ rpoint(Vd914)
| Vd908 != Vd914 )
| ! [Vd915] :
( ~ rpoint(Vd915)
| Vd909 != Vd915 )
| ! [Vd916] :
( ~ rpoint(Vd916)
| Vd910 != Vd916 )
| ! [Vd917] :
( ~ rpoint(Vd917)
| Vd911 != Vd917 )
| ! [Vd918] :
( ~ rpoint(Vd918)
| Vd912 != Vd918 )
| ! [Vd922] :
( ~ rline(Vd922)
| Vd919 != Vd922 )
| ! [Vd923] :
( ~ rline(Vd923)
| Vd920 != Vd923 )
| ~ ron(Vd908,Vd919)
| ~ ron(Vd909,Vd919)
| ~ ron(Vd911,Vd919)
| ~ ron(Vd910,Vd920)
| ~ ron(Vd912,Vd920)
| Vd909 = Vd908
| Vd910 = Vd908
| Vd911 = Vd908
| Vd912 = Vd908
| rR(Vd908,Vd909,Vd911)
| rR(Vd908,Vd910,Vd912) ),
inference(pre_NNF_transformation,[status(thm)],[f52]) ).
fof(f272,plain,
! [Vd908,Vd909,Vd910,Vd911,Vd912] :
( vangle(Vd909,Vd908,Vd910) = vangle(Vd911,Vd908,Vd912)
| ! [Vd914] :
( ~ rpoint(Vd914)
| Vd908 != Vd914 )
| ! [Vd915] :
( ~ rpoint(Vd915)
| Vd909 != Vd915 )
| ! [Vd916] :
( ~ rpoint(Vd916)
| Vd910 != Vd916 )
| ! [Vd917] :
( ~ rpoint(Vd917)
| Vd911 != Vd917 )
| ! [Vd918] :
( ~ rpoint(Vd918)
| Vd912 != Vd918 )
| ! [Vd919] :
( ! [Vd922] :
( ~ rline(Vd922)
| Vd919 != Vd922 )
| ! [Vd920] :
( ! [Vd923] :
( ~ rline(Vd923)
| Vd920 != Vd923 )
| ~ ron(Vd908,Vd919)
| ~ ron(Vd909,Vd919)
| ~ ron(Vd911,Vd919)
| ~ ron(Vd910,Vd920)
| ~ ron(Vd912,Vd920)
| Vd909 = Vd908
| Vd910 = Vd908
| Vd911 = Vd908
| Vd912 = Vd908
| rR(Vd908,Vd909,Vd911)
| rR(Vd908,Vd910,Vd912) ) ) ),
inference(miniscoping,[status(thm)],[f271]) ).
fof(f273,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( vangle(X3,X0,X1) = vangle(X4,X0,X2)
| ~ rpoint(X13)
| X0 != X13
| ~ rpoint(X12)
| X3 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X8)
| X6 != X8
| ~ rline(X7)
| X5 != X7
| ~ ron(X0,X6)
| ~ ron(X3,X6)
| ~ ron(X4,X6)
| ~ ron(X1,X5)
| ~ ron(X2,X5)
| X3 = X0
| X1 = X0
| X4 = X0
| X2 = X0
| rR(X0,X3,X4)
| rR(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f281,plain,
! [Vd217,Vd218] :
( ? [Vd223] :
( rline(Vd223)
& ron(Vd217,Vd223)
& ron(Vd218,Vd223) )
| ! [Vd220] :
( ~ rpoint(Vd220)
| Vd217 != Vd220 )
| ! [Vd221] :
( ~ rpoint(Vd221)
| Vd218 != Vd221 )
| Vd217 = Vd218 ),
inference(pre_NNF_transformation,[status(thm)],[f55]) ).
fof(f282,plain,
! [Vd217,Vd218] :
( ( rline(sK9_skl(Vd218,Vd217))
& ron(Vd217,sK9_skl(Vd218,Vd217))
& ron(Vd218,sK9_skl(Vd218,Vd217)) )
| ! [Vd220] :
( ~ rpoint(Vd220)
| Vd217 != Vd220 )
| ! [Vd221] :
( ~ rpoint(Vd221)
| Vd218 != Vd221 )
| Vd217 = Vd218 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(Vd223,sK9_skl(Vd218,Vd217))],[f281]) ).
fof(f283,plain,
! [X0,X1,X2,X3] :
( ron(X1,sK9_skl(X1,X0))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f284,plain,
! [X0,X1,X2,X3] :
( ron(X0,sK9_skl(X1,X0))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f285,plain,
! [X0,X1,X2,X3] :
( rline(sK9_skl(X1,X0))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f716,plain,
! [X0,X1,X2,X3] :
( ron(X3,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rline(X1)
| ~ rR(X3,X2,X0)
| ~ ron(X2,X1)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f231]) ).
fof(f717,plain,
! [X0,X1,X2] :
( ~ rR(X1,X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rR(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f233]) ).
fof(f718,plain,
! [X4,X3] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X4,X3,X3) ),
inference(destructive_equality_resolution,[status(thm)],[f234]) ).
fof(f719,plain,
! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rR(X0,X1,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f718]) ).
fof(f737,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X3,X0,X1) = vangle(X4,X0,X2)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rline(X6)
| ~ rline(X5)
| ~ ron(X0,X6)
| ~ ron(X3,X6)
| ~ ron(X4,X6)
| ~ ron(X1,X5)
| ~ ron(X2,X5)
| X3 = X0
| X1 = X0
| X4 = X0
| X2 = X0
| rR(X0,X3,X4)
| rR(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f273]) ).
fof(f742,plain,
! [X0,X1] :
( ron(X1,sK9_skl(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f283]) ).
fof(f743,plain,
! [X0,X1] :
( ron(X0,sK9_skl(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f284]) ).
fof(f744,plain,
! [X0,X1] :
( rline(sK9_skl(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f285]) ).
fof(f914,plain,
vangle(vd1371,vd1362,vd1363) != vangle(vd1361,vd1362,vd1363),
inference(backward_demodulation,[status(thm)],[f141,f131]) ).
fof(f915,plain,
rpoint(vd1362),
inference(forward_demodulation,[status(thm)],[f137,f138]) ).
fof(f916,plain,
rpoint(vd1363),
inference(forward_demodulation,[status(thm)],[f146,f147]) ).
fof(f917,plain,
rpoint(vd1361),
inference(forward_demodulation,[status(thm)],[f149,f150]) ).
fof(f1260,plain,
! [X0] :
( ron(vd1371,X0)
| ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ rline(X0)
| ~ ron(vd1362,X0)
| ~ ron(vd1361,X0) ),
inference(resolution,[status(thm)],[f716,f134]) ).
fof(f1267,plain,
! [X0] :
( ron(vd1371,X0)
| ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rline(X0)
| ~ ron(vd1362,X0)
| ~ ron(vd1361,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1260,f917]) ).
fof(f1297,plain,
! [X0] :
( ron(vd1371,X0)
| ~ rpoint(vd1362)
| ~ rline(X0)
| ~ ron(vd1362,X0)
| ~ ron(vd1361,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1267,f135]) ).
fof(f1359,plain,
( ~ rpoint(vd1371)
| ~ rpoint(vd1362)
| ~ rpoint(vd1361)
| ~ rR(vd1362,vd1371,vd1361) ),
inference(resolution,[status(thm)],[f717,f134]) ).
fof(f1367,plain,
( ~ rpoint(vd1371)
| ~ rpoint(vd1362)
| ~ rR(vd1362,vd1371,vd1361) ),
inference(forward_subsumption_resolution,[status(thm)],[f1359,f917]) ).
fof(f1711,plain,
( ~ rpoint(vd1371)
| ~ rR(vd1362,vd1371,vd1361) ),
inference(forward_subsumption_resolution,[status(thm)],[f1367,f915]) ).
fof(f2344,plain,
! [X0,X1] :
( ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1363)
| ~ rpoint(vd1361)
| ~ rpoint(vd1363)
| ~ rline(X1)
| ~ rline(X0)
| ~ ron(vd1362,X1)
| ~ ron(vd1371,X1)
| ~ ron(vd1361,X1)
| ~ ron(vd1363,X0)
| ~ ron(vd1363,X0)
| vd1371 = vd1362
| vd1363 = vd1362
| vd1361 = vd1362
| vd1363 = vd1362
| rR(vd1362,vd1371,vd1361)
| rR(vd1362,vd1363,vd1363) ),
inference(resolution,[status(thm)],[f737,f914]) ).
fof(f2348,plain,
! [X0,X1] :
( ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ rpoint(vd1363)
| ~ rline(X1)
| ~ rline(X0)
| ~ ron(vd1362,X1)
| ~ ron(vd1371,X1)
| ~ ron(vd1361,X1)
| ~ ron(vd1363,X0)
| vd1371 = vd1362
| vd1361 = vd1362
| vd1363 = vd1362
| rR(vd1362,vd1371,vd1361)
| rR(vd1362,vd1363,vd1363) ),
inference(duplicate_literals_removal,[status(thm)],[f2344]) ).
fof(f2349,plain,
! [X0,X1] :
( ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ rpoint(vd1363)
| ~ rline(X1)
| ~ rline(X0)
| ~ ron(vd1362,X1)
| ~ ron(vd1371,X1)
| ~ ron(vd1361,X1)
| ~ ron(vd1363,X0)
| vd1371 = vd1362
| vd1361 = vd1362
| vd1363 = vd1362
| rR(vd1362,vd1371,vd1361) ),
inference(forward_subsumption_resolution,[status(thm)],[f2348,f719]) ).
fof(f2354,plain,
! [X0,X1] :
( ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ rpoint(vd1363)
| ~ rline(X1)
| ~ rline(X0)
| ~ ron(vd1362,X1)
| ~ ron(vd1371,X1)
| ~ ron(vd1361,X1)
| ~ ron(vd1363,X0)
| vd1371 = vd1362
| vd1361 = vd1362
| vd1363 = vd1362 ),
inference(forward_subsumption_resolution,[status(thm)],[f2349,f1711]) ).
fof(f2357,plain,
! [X0,X1] :
( ~ rpoint(vd1362)
| ~ rline(X1)
| ~ ron(vd1362,X1)
| ~ ron(vd1361,X1)
| ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ rpoint(vd1363)
| ~ rline(X1)
| ~ rline(X0)
| ~ ron(vd1362,X1)
| ~ ron(vd1361,X1)
| ~ ron(vd1363,X0)
| vd1371 = vd1362
| vd1361 = vd1362
| vd1363 = vd1362 ),
inference(resolution,[status(thm)],[f2354,f1297]) ).
fof(f2374,plain,
! [X0,X1] :
( ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ rpoint(vd1363)
| ~ rline(X1)
| ~ rline(X0)
| ~ ron(vd1362,X1)
| ~ ron(vd1361,X1)
| ~ ron(vd1363,X0)
| vd1371 = vd1362
| vd1361 = vd1362
| vd1363 = vd1362 ),
inference(duplicate_literals_removal,[status(thm)],[f2357]) ).
fof(f2375,plain,
! [X0,X1] :
( ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ rpoint(vd1363)
| ~ rline(X1)
| ~ rline(X0)
| ~ ron(vd1362,X1)
| ~ ron(vd1361,X1)
| ~ ron(vd1363,X0)
| vd1371 = vd1362
| vd1361 = vd1362 ),
inference(forward_subsumption_resolution,[status(thm)],[f2374,f142]) ).
fof(f2400,plain,
! [X0,X1] :
( ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ rpoint(vd1363)
| ~ rline(X1)
| ~ rline(X0)
| ~ ron(vd1362,X1)
| ~ ron(vd1361,X1)
| ~ ron(vd1363,X0)
| vd1371 = vd1362 ),
inference(forward_subsumption_resolution,[status(thm)],[f2375,f144]) ).
fof(f2401,plain,
! [X0,X1] :
( ~ rpoint(vd1363)
| ~ rpoint(X1)
| vd1363 = X1
| ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ rpoint(vd1363)
| ~ rline(X0)
| ~ rline(sK9_skl(X1,vd1363))
| ~ ron(vd1362,X0)
| ~ ron(vd1361,X0)
| vd1371 = vd1362 ),
inference(resolution,[status(thm)],[f2400,f743]) ).
fof(f2413,plain,
! [X0,X1] :
( ~ rpoint(X1)
| vd1363 = X1
| ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ rpoint(vd1363)
| ~ rline(X0)
| ~ rline(sK9_skl(X1,vd1363))
| ~ ron(vd1362,X0)
| ~ ron(vd1361,X0)
| vd1371 = vd1362 ),
inference(duplicate_literals_removal,[status(thm)],[f2401]) ).
fof(f2414,plain,
! [X0,X1] :
( ~ rpoint(X1)
| vd1363 = X1
| ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ rpoint(vd1363)
| ~ rline(X0)
| ~ ron(vd1362,X0)
| ~ ron(vd1361,X0)
| vd1371 = vd1362 ),
inference(forward_subsumption_resolution,[status(thm)],[f2413,f744]) ).
fof(f2437,plain,
! [X0,X1] :
( ~ rpoint(X1)
| vd1363 = X1
| ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ rline(X0)
| ~ ron(vd1362,X0)
| ~ ron(vd1361,X0)
| vd1371 = vd1362 ),
inference(forward_subsumption_resolution,[status(thm)],[f2414,f916]) ).
fof(f2438,plain,
! [X0,X1] :
( ~ rpoint(vd1362)
| ~ rpoint(X0)
| vd1362 = X0
| ~ rpoint(X1)
| vd1363 = X1
| ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ rline(sK9_skl(X0,vd1362))
| ~ ron(vd1361,sK9_skl(X0,vd1362))
| vd1371 = vd1362 ),
inference(resolution,[status(thm)],[f2437,f743]) ).
fof(f2450,plain,
! [X0,X1] :
( ~ rpoint(X0)
| vd1362 = X0
| ~ rpoint(X1)
| vd1363 = X1
| ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ rline(sK9_skl(X0,vd1362))
| ~ ron(vd1361,sK9_skl(X0,vd1362))
| vd1371 = vd1362 ),
inference(duplicate_literals_removal,[status(thm)],[f2438]) ).
fof(f2451,plain,
! [X0,X1] :
( ~ rpoint(X0)
| vd1362 = X0
| ~ rpoint(X1)
| vd1363 = X1
| ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ rpoint(vd1361)
| ~ ron(vd1361,sK9_skl(X0,vd1362))
| vd1371 = vd1362 ),
inference(forward_subsumption_resolution,[status(thm)],[f2450,f744]) ).
fof(f2772,plain,
! [X0,X1] :
( ~ rpoint(X0)
| vd1362 = X0
| ~ rpoint(X1)
| vd1363 = X1
| ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| ~ ron(vd1361,sK9_skl(X0,vd1362))
| vd1371 = vd1362 ),
inference(forward_subsumption_resolution,[status(thm)],[f2451,f917]) ).
fof(f2773,plain,
! [X0] :
( ~ rpoint(vd1362)
| ~ rpoint(vd1361)
| vd1362 = vd1361
| ~ rpoint(vd1361)
| vd1362 = vd1361
| ~ rpoint(X0)
| vd1363 = X0
| ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| vd1371 = vd1362 ),
inference(resolution,[status(thm)],[f2772,f742]) ).
fof(f2774,plain,
! [X0] :
( ~ rpoint(vd1361)
| vd1362 = vd1361
| ~ rpoint(X0)
| vd1363 = X0
| ~ rpoint(vd1362)
| ~ rpoint(vd1371)
| vd1371 = vd1362 ),
inference(duplicate_literals_removal,[status(thm)],[f2773]) ).
fof(f2775,plain,
! [X0] :
( ~ rpoint(vd1361)
| vd1362 = vd1361
| ~ rpoint(X0)
| vd1363 = X0
| ~ rpoint(vd1362)
| vd1371 = vd1362 ),
inference(forward_subsumption_resolution,[status(thm)],[f2774,f135]) ).
fof(f2776,plain,
! [X0] :
( ~ rpoint(vd1361)
| vd1362 = vd1361
| ~ rpoint(X0)
| vd1363 = X0
| vd1371 = vd1362 ),
inference(forward_subsumption_resolution,[status(thm)],[f2775,f915]) ).
fof(f2802,plain,
( vd1362 = vd1361
| vd1363 = vd1361
| vd1371 = vd1362 ),
inference(resolution,[status(thm)],[f2776,f917]) ).
fof(f2834,plain,
( vd1362 = vd1361
| vd1371 = vd1362 ),
inference(forward_subsumption_resolution,[status(thm)],[f2802,f143]) ).
fof(f2877,plain,
( ~ rpoint(vd1362)
| ~ rR(vd1362,vd1371,vd1361) ),
inference(backward_demodulation,[status(thm)],[f2906,f1711]) ).
fof(f2903,plain,
rR(vd1362,vd1362,vd1361),
inference(backward_demodulation,[status(thm)],[f2906,f134]) ).
fof(f2906,plain,
vd1371 = vd1362,
inference(forward_subsumption_resolution,[status(thm)],[f2834,f144]) ).
fof(f2933,plain,
( ~ rpoint(vd1362)
| ~ rR(vd1362,vd1362,vd1361) ),
inference(forward_demodulation,[status(thm)],[f2906,f2877]) ).
fof(f2934,plain,
~ rR(vd1362,vd1362,vd1361),
inference(forward_subsumption_resolution,[status(thm)],[f2933,f915]) ).
fof(f2966,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2903,f2934]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO333+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.43 % Computer : n017.cluster.edu
% 0.08/0.43 % Model : x86_64 x86_64
% 0.08/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.43 % Memory : 8046.5625MB
% 0.08/0.43 % OS : Linux 6.8.0-71-generic
% 0.08/0.43 % CPULimit : 300
% 0.08/0.43 % WCLimit : 300
% 0.08/0.43 % DateTime : Sun Sep 20 15:19:41 UTC 2026
% 0.08/0.43 % CPUTime :
% 0.13/0.46 % Drodi V4.1.1
% 11.88/2.07 % Refutation found
% 11.88/2.07 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.88/2.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.88/2.10 % Elapsed time: 1.654517 seconds
% 11.88/2.10 % CPU time: 12.651406 seconds
% 11.88/2.10 % Total memory used: 180.111 MB
% 11.88/2.10 % Net memory used: 172.580 MB
%------------------------------------------------------------------------------