%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO306+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 : n020.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 12:24:53 PM UTC 2026
% Result : Theorem 0.13s 5.58s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 89 ( 26 unt; 0 def)
% Number of atoms : 453 ( 152 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 652 ( 288 ~; 283 |; 76 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-8 aty)
% Number of variables : 160 ( 148 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [Vd1306] :
( rpoint(Vd1306)
& rR(Vd1306,vd1287,vd1302)
& vf(vd1287,vd1299) = vf(vd1287,Vd1306) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [Vd1306] :
( rpoint(Vd1306)
& rR(Vd1306,vd1287,vd1302)
& vf(vd1287,vd1299) = vf(vd1287,Vd1306) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( rR(vd1288,vd1287,vd1299)
& rpoint(vd1303)
& rR(vd1289,vd1287,vd1302)
& vd1302 = vd1303 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ? [Vd1291] :
( rpoint(Vd1291)
& vd1287 = Vd1291 )
& ? [Vd1292] :
( rpoint(Vd1292)
& vd1288 = Vd1292 )
& ? [Vd1293] :
( rpoint(Vd1293)
& vd1289 = Vd1293 )
& vd1287 != vd1288
& vd1287 != vd1289
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :
( ( rpoint(Vd1110)
& Vd1109 = Vd1110
& rpoint(Vd1112)
& Vd1111 = Vd1112
& rpoint(Vd1114)
& Vd1113 = Vd1114
& rpoint(Vd1116)
& Vd1115 = Vd1116
& Vd1109 != Vd1111
& Vd1113 != Vd1115
& rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111)) )
=> vf(Vd1109,vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116)) = vf(Vd1113,Vd1115) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :
( ( rpoint(Vd1110)
& Vd1109 = Vd1110
& rpoint(Vd1112)
& Vd1111 = Vd1112
& rpoint(Vd1114)
& Vd1113 = Vd1114
& rpoint(Vd1116)
& Vd1115 = Vd1116
& Vd1109 != Vd1111
& Vd1113 != Vd1115
& rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111)) )
=> rR(vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116),Vd1109,Vd1111) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :
( ( rpoint(Vd1110)
& Vd1109 = Vd1110
& rpoint(Vd1112)
& Vd1111 = Vd1112
& rpoint(Vd1114)
& Vd1113 = Vd1114
& rpoint(Vd1116)
& Vd1115 = Vd1116
& Vd1109 != Vd1111
& Vd1113 != Vd1115
& rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111)) )
=> rpoint(vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,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(f76,axiom,
! [Vd408,Vd409,Vd410,Vd411] :
( ( ? [Vd413] :
( rpoint(Vd413)
& Vd408 = Vd413 )
& ? [Vd414] :
( rpoint(Vd414)
& Vd409 = Vd414 )
& ? [Vd415] :
( rpoint(Vd415)
& Vd410 = Vd415 )
& ? [Vd416] :
( rpoint(Vd416)
& Vd411 = Vd416 )
& rR(Vd409,Vd408,Vd410)
& rR(Vd409,Vd408,Vd411) )
=> ~ rR(Vd409,Vd410,Vd411) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f129,plain,
! [Vd1306] :
( ~ rpoint(Vd1306)
| ~ rR(Vd1306,vd1287,vd1302)
| vf(vd1287,vd1299) != vf(vd1287,Vd1306) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f130,plain,
! [X0] :
( ~ rpoint(X0)
| ~ rR(X0,vd1287,vd1302)
| vf(vd1287,vd1299) != vf(vd1287,X0) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,plain,
rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f134,plain,
vd1302 = vd1303,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f135,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f136,plain,
rpoint(vd1303),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f137,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f141,plain,
( rpoint(sK2_skl)
& vd1287 = sK2_skl
& rpoint(sK1_skl)
& vd1288 = sK1_skl
& rpoint(sK0_skl)
& vd1289 = sK0_skl
& vd1287 != vd1288
& vd1287 != vd1289
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Vd1293,sK0_skl),skolemize(Vd1292,sK1_skl),skolemize(Vd1291,sK2_skl)],[f10]) ).
fof(f146,plain,
vd1289 = sK0_skl,
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f147,plain,
rpoint(sK0_skl),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f148,plain,
vd1288 = sK1_skl,
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f149,plain,
rpoint(sK1_skl),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f150,plain,
vd1287 = sK2_skl,
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f151,plain,
rpoint(sK2_skl),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f155,plain,
vd1299 = vd1300,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f156,plain,
rpoint(vd1300),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f160,plain,
! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :
( vf(Vd1109,vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116)) = vf(Vd1113,Vd1115)
| ~ rpoint(Vd1110)
| Vd1109 != Vd1110
| ~ rpoint(Vd1112)
| Vd1111 != Vd1112
| ~ rpoint(Vd1114)
| Vd1113 != Vd1114
| ~ rpoint(Vd1116)
| Vd1115 != Vd1116
| Vd1109 = Vd1111
| Vd1113 = Vd1115
| ~ rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111)) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vf(X2,vskolem1120(X2,X7,X3,X6,X0,X5,X1,X4)) = vf(X0,X1)
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X6)
| X3 != X6
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| X2 = X3
| X0 = X1
| ~ rless(vf(X0,X1),vf(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :
( rR(vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116),Vd1109,Vd1111)
| ~ rpoint(Vd1110)
| Vd1109 != Vd1110
| ~ rpoint(Vd1112)
| Vd1111 != Vd1112
| ~ rpoint(Vd1114)
| Vd1113 != Vd1114
| ~ rpoint(Vd1116)
| Vd1115 != Vd1116
| Vd1109 = Vd1111
| Vd1113 = Vd1115
| ~ rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rR(vskolem1120(X2,X7,X3,X6,X0,X5,X1,X4),X2,X3)
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X6)
| X3 != X6
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| X2 = X3
| X0 = X1
| ~ rless(vf(X0,X1),vf(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :
( rpoint(vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116))
| ~ rpoint(Vd1110)
| Vd1109 != Vd1110
| ~ rpoint(Vd1112)
| Vd1111 != Vd1112
| ~ rpoint(Vd1114)
| Vd1113 != Vd1114
| ~ rpoint(Vd1116)
| Vd1115 != Vd1116
| Vd1109 = Vd1111
| Vd1113 = Vd1115
| ~ rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111)) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rpoint(vskolem1120(X2,X7,X3,X6,X0,X5,X1,X4))
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X6)
| X3 != X6
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| X2 = X3
| X0 = X1
| ~ rless(vf(X0,X1),vf(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f268,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)],[f49]) ).
fof(f272,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)],[f268]) ).
fof(f370,plain,
! [Vd408,Vd409,Vd410,Vd411] :
( ~ rR(Vd409,Vd410,Vd411)
| ! [Vd413] :
( ~ rpoint(Vd413)
| Vd408 != Vd413 )
| ! [Vd414] :
( ~ rpoint(Vd414)
| Vd409 != Vd414 )
| ! [Vd415] :
( ~ rpoint(Vd415)
| Vd410 != Vd415 )
| ! [Vd416] :
( ~ rpoint(Vd416)
| Vd411 != Vd416 )
| ~ rR(Vd409,Vd408,Vd410)
| ~ rR(Vd409,Vd408,Vd411) ),
inference(pre_NNF_transformation,[status(thm)],[f76]) ).
fof(f371,plain,
! [Vd409,Vd410,Vd411] :
( ~ rR(Vd409,Vd410,Vd411)
| ! [Vd408] :
( ! [Vd413] :
( ~ rpoint(Vd413)
| Vd408 != Vd413 )
| ! [Vd414] :
( ~ rpoint(Vd414)
| Vd409 != Vd414 )
| ! [Vd415] :
( ~ rpoint(Vd415)
| Vd410 != Vd415 )
| ! [Vd416] :
( ~ rpoint(Vd416)
| Vd411 != Vd416 )
| ~ rR(Vd409,Vd408,Vd410)
| ~ rR(Vd409,Vd408,Vd411) ) ),
inference(miniscoping,[status(thm)],[f370]) ).
fof(f372,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ rR(X0,X3,X2)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X5)
| X3 != X5
| ~ rpoint(X4)
| X2 != X4
| ~ rR(X0,X1,X3)
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f678,plain,
! [X0,X1,X2,X3] :
( vf(X2,vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1)) = vf(X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X2 = X3
| X0 = X1
| ~ rless(vf(X0,X1),vf(X2,X3)) ),
inference(destructive_equality_resolution,[status(thm)],[f161]) ).
fof(f679,plain,
! [X0,X1,X2,X3] :
( rR(vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1),X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X2 = X3
| X0 = X1
| ~ rless(vf(X0,X1),vf(X2,X3)) ),
inference(destructive_equality_resolution,[status(thm)],[f163]) ).
fof(f680,plain,
! [X0,X1,X2,X3] :
( rpoint(vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1))
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X2 = X3
| X0 = X1
| ~ rless(vf(X0,X1),vf(X2,X3)) ),
inference(destructive_equality_resolution,[status(thm)],[f165]) ).
fof(f736,plain,
! [X0,X1,X2] :
( rR(X0,X2,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rR(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f272]) ).
fof(f769,plain,
! [X0,X1,X2,X3] :
( ~ rR(X0,X3,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rR(X0,X1,X3)
| ~ rR(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f372]) ).
fof(f915,plain,
( rR(vd1288,vd1299,vd1287)
| ~ rpoint(vd1287)
| ~ rpoint(vd1288)
| ~ rpoint(vd1299) ),
inference(resolution,[status(thm)],[f736,f137]) ).
fof(f916,plain,
( rR(vd1289,vd1302,vd1287)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1302) ),
inference(resolution,[status(thm)],[f736,f135]) ).
fof(f986,plain,
( rR(vd1289,vd1302,vd1287)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289) ),
inference(backward_subsumption_resolution,[status(thm)],[f916,f988]) ).
fof(f988,plain,
rpoint(vd1302),
inference(forward_demodulation,[status(thm)],[f134,f136]) ).
fof(f989,plain,
rpoint(vd1289),
inference(forward_demodulation,[status(thm)],[f146,f147]) ).
fof(f991,plain,
( rR(vd1288,vd1299,vd1287)
| ~ rpoint(vd1287)
| ~ rpoint(vd1299) ),
inference(backward_subsumption_resolution,[status(thm)],[f915,f993]) ).
fof(f993,plain,
rpoint(vd1288),
inference(forward_demodulation,[status(thm)],[f148,f149]) ).
fof(f994,plain,
rpoint(vd1287),
inference(forward_demodulation,[status(thm)],[f150,f151]) ).
fof(f996,plain,
rpoint(vd1299),
inference(forward_demodulation,[status(thm)],[f155,f156]) ).
fof(f1076,plain,
( rR(vd1289,vd1302,vd1287)
| ~ rpoint(vd1287) ),
inference(forward_subsumption_resolution,[status(thm)],[f986,f989]) ).
fof(f1081,plain,
! [X0] :
( ~ rR(vd1289,vd1287,X0)
| ~ rpoint(vd1302)
| ~ rpoint(vd1289)
| ~ rpoint(vd1287)
| ~ rpoint(X0)
| ~ rR(vd1289,vd1302,X0)
| ~ rpoint(vd1287) ),
inference(resolution,[status(thm)],[f1076,f769]) ).
fof(f1092,plain,
! [X0] :
( ~ rR(vd1289,vd1287,X0)
| ~ rpoint(vd1302)
| ~ rpoint(vd1289)
| ~ rpoint(X0)
| ~ rR(vd1289,vd1302,X0)
| ~ rpoint(vd1287) ),
inference(duplicate_literals_removal,[status(thm)],[f1081]) ).
fof(f1093,plain,
! [X0] :
( ~ rR(vd1289,vd1287,X0)
| ~ rpoint(vd1302)
| ~ rpoint(vd1289)
| ~ rpoint(X0)
| ~ rR(vd1289,vd1302,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1092,f994]) ).
fof(f1103,plain,
( rR(vd1288,vd1299,vd1287)
| ~ rpoint(vd1287) ),
inference(forward_subsumption_resolution,[status(thm)],[f991,f996]) ).
fof(f1108,plain,
! [X0] :
( ~ rR(vd1288,vd1287,X0)
| ~ rpoint(vd1299)
| ~ rpoint(vd1288)
| ~ rpoint(vd1287)
| ~ rpoint(X0)
| ~ rR(vd1288,vd1299,X0)
| ~ rpoint(vd1287) ),
inference(resolution,[status(thm)],[f1103,f769]) ).
fof(f1119,plain,
! [X0] :
( ~ rR(vd1288,vd1287,X0)
| ~ rpoint(vd1299)
| ~ rpoint(vd1288)
| ~ rpoint(X0)
| ~ rR(vd1288,vd1299,X0)
| ~ rpoint(vd1287) ),
inference(duplicate_literals_removal,[status(thm)],[f1108]) ).
fof(f1120,plain,
! [X0] :
( ~ rR(vd1288,vd1287,X0)
| ~ rpoint(vd1299)
| ~ rpoint(vd1288)
| ~ rpoint(X0)
| ~ rR(vd1288,vd1299,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1119,f994]) ).
fof(f1139,plain,
! [X0] :
( ~ rR(vd1289,vd1287,X0)
| ~ rpoint(vd1302)
| ~ rpoint(X0)
| ~ rR(vd1289,vd1302,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1093,f989]) ).
fof(f1140,plain,
( ~ rpoint(vd1287)
| ~ rR(vd1289,vd1287,vd1287)
| ~ rpoint(vd1302)
| ~ rpoint(vd1287) ),
inference(resolution,[status(thm)],[f1139,f1076]) ).
fof(f1142,plain,
( ~ rR(vd1289,vd1287,vd1287)
| ~ rpoint(vd1302)
| ~ rpoint(vd1287) ),
inference(duplicate_literals_removal,[status(thm)],[f1140]) ).
fof(f1143,plain,
( ~ rR(vd1289,vd1287,vd1287)
| ~ rpoint(vd1302) ),
inference(forward_subsumption_resolution,[status(thm)],[f1142,f994]) ).
fof(f1146,plain,
~ rR(vd1289,vd1287,vd1287),
inference(forward_subsumption_resolution,[status(thm)],[f1143,f988]) ).
fof(f1175,plain,
! [X0] :
( ~ rpoint(vskolem1120(vd1287,vd1287,X0,X0,vd1287,vd1287,vd1299,vd1299))
| ~ rR(vskolem1120(vd1287,vd1287,X0,X0,vd1287,vd1287,vd1299,vd1299),vd1287,vd1302)
| ~ rpoint(vd1287)
| ~ rpoint(X0)
| ~ rpoint(vd1287)
| ~ rpoint(vd1299)
| vd1287 = X0
| vd1287 = vd1299
| ~ rless(vf(vd1287,vd1299),vf(vd1287,X0)) ),
inference(resolution,[status(thm)],[f678,f130]) ).
fof(f1176,plain,
! [X0] :
( ~ rpoint(vskolem1120(vd1287,vd1287,X0,X0,vd1287,vd1287,vd1299,vd1299))
| ~ rR(vskolem1120(vd1287,vd1287,X0,X0,vd1287,vd1287,vd1299,vd1299),vd1287,vd1302)
| ~ rpoint(X0)
| ~ rpoint(vd1287)
| ~ rpoint(vd1299)
| vd1287 = X0
| vd1287 = vd1299
| ~ rless(vf(vd1287,vd1299),vf(vd1287,X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f1175]) ).
fof(f1177,plain,
! [X0] :
( ~ rpoint(vskolem1120(vd1287,vd1287,X0,X0,vd1287,vd1287,vd1299,vd1299))
| ~ rR(vskolem1120(vd1287,vd1287,X0,X0,vd1287,vd1287,vd1299,vd1299),vd1287,vd1302)
| ~ rpoint(X0)
| ~ rpoint(vd1287)
| vd1287 = X0
| vd1287 = vd1299
| ~ rless(vf(vd1287,vd1299),vf(vd1287,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1176,f996]) ).
fof(f1248,plain,
! [X0] :
( ~ rpoint(vskolem1120(vd1287,vd1287,X0,X0,vd1287,vd1287,vd1299,vd1299))
| ~ rR(vskolem1120(vd1287,vd1287,X0,X0,vd1287,vd1287,vd1299,vd1299),vd1287,vd1302)
| ~ rpoint(X0)
| vd1287 = X0
| vd1287 = vd1299
| ~ rless(vf(vd1287,vd1299),vf(vd1287,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1177,f994]) ).
fof(f1249,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1302)
| ~ rpoint(vd1287)
| ~ rpoint(vd1299)
| vd1287 = vd1302
| vd1287 = vd1299
| ~ rless(vf(vd1287,vd1299),vf(vd1287,vd1302))
| ~ rpoint(vskolem1120(vd1287,vd1287,vd1302,vd1302,vd1287,vd1287,vd1299,vd1299))
| ~ rpoint(vd1302)
| vd1287 = vd1302
| vd1287 = vd1299
| ~ rless(vf(vd1287,vd1299),vf(vd1287,vd1302)) ),
inference(resolution,[status(thm)],[f1248,f679]) ).
fof(f1251,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1299)
| ~ rpoint(vskolem1120(vd1287,vd1287,vd1302,vd1302,vd1287,vd1287,vd1299,vd1299))
| ~ rpoint(vd1302)
| vd1287 = vd1302
| vd1287 = vd1299
| ~ rless(vf(vd1287,vd1299),vf(vd1287,vd1302)) ),
inference(duplicate_literals_removal,[status(thm)],[f1249]) ).
fof(f1252,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1299)
| ~ rpoint(vskolem1120(vd1287,vd1287,vd1302,vd1302,vd1287,vd1287,vd1299,vd1299))
| ~ rpoint(vd1302)
| vd1287 = vd1302
| vd1287 = vd1299 ),
inference(forward_subsumption_resolution,[status(thm)],[f1251,f131]) ).
fof(f1264,plain,
! [X0] :
( ~ rR(vd1288,vd1287,X0)
| ~ rpoint(vd1299)
| ~ rpoint(X0)
| ~ rR(vd1288,vd1299,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1120,f993]) ).
fof(f1265,plain,
( ~ rpoint(vd1287)
| ~ rR(vd1288,vd1287,vd1287)
| ~ rpoint(vd1299)
| ~ rpoint(vd1287) ),
inference(resolution,[status(thm)],[f1264,f1103]) ).
fof(f1267,plain,
( ~ rR(vd1288,vd1287,vd1287)
| ~ rpoint(vd1299)
| ~ rpoint(vd1287) ),
inference(duplicate_literals_removal,[status(thm)],[f1265]) ).
fof(f1268,plain,
( ~ rR(vd1288,vd1287,vd1287)
| ~ rpoint(vd1299) ),
inference(forward_subsumption_resolution,[status(thm)],[f1267,f994]) ).
fof(f1271,plain,
~ rR(vd1288,vd1287,vd1287),
inference(forward_subsumption_resolution,[status(thm)],[f1268,f996]) ).
fof(f1313,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1299)
| ~ rpoint(vskolem1120(vd1287,vd1287,vd1302,vd1302,vd1287,vd1287,vd1299,vd1299))
| vd1287 = vd1302
| vd1287 = vd1299 ),
inference(forward_subsumption_resolution,[status(thm)],[f1252,f988]) ).
fof(f1314,plain,
( ~ rpoint(vd1287)
| ~ rpoint(vd1302)
| ~ rpoint(vd1287)
| ~ rpoint(vd1299)
| vd1287 = vd1302
| vd1287 = vd1299
| ~ rless(vf(vd1287,vd1299),vf(vd1287,vd1302))
| ~ rpoint(vd1287)
| ~ rpoint(vd1299)
| vd1287 = vd1302
| vd1287 = vd1299 ),
inference(resolution,[status(thm)],[f1313,f680]) ).
fof(f1315,plain,
( ~ rpoint(vd1302)
| ~ rless(vf(vd1287,vd1299),vf(vd1287,vd1302))
| ~ rpoint(vd1287)
| ~ rpoint(vd1299)
| vd1287 = vd1302
| vd1287 = vd1299 ),
inference(duplicate_literals_removal,[status(thm)],[f1314]) ).
fof(f1316,plain,
( ~ rpoint(vd1302)
| ~ rless(vf(vd1287,vd1299),vf(vd1287,vd1302))
| ~ rpoint(vd1287)
| vd1287 = vd1302
| vd1287 = vd1299 ),
inference(forward_subsumption_resolution,[status(thm)],[f1315,f996]) ).
fof(f1317,plain,
( ~ rpoint(vd1302)
| ~ rless(vf(vd1287,vd1299),vf(vd1287,vd1302))
| vd1287 = vd1302
| vd1287 = vd1299 ),
inference(forward_subsumption_resolution,[status(thm)],[f1316,f994]) ).
fof(f1318,plain,
( ~ rpoint(vd1302)
| vd1287 = vd1302
| vd1287 = vd1299 ),
inference(resolution,[status(thm)],[f1317,f131]) ).
fof(f1319,plain,
( vd1287 = vd1302
| vd1287 = vd1299 ),
inference(forward_subsumption_resolution,[status(thm)],[f1318,f988]) ).
fof(f1333,plain,
( vd1287 = vd1299
| rR(vd1289,vd1287,vd1287) ),
inference(paramodulation,[status(thm)],[f1319,f135]) ).
fof(f1347,plain,
vd1287 = vd1299,
inference(forward_subsumption_resolution,[status(thm)],[f1333,f1146]) ).
fof(f1366,plain,
rR(vd1288,vd1287,vd1287),
inference(backward_demodulation,[status(thm)],[f1347,f137]) ).
fof(f1387,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1366,f1271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO306+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n020.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 15:18:38 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.13/5.40 % Drodi V4.1.1
% 0.13/5.58 % Refutation found
% 0.13/5.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.59 % Elapsed time: 0.218312 seconds
% 0.13/5.59 % CPU time: 1.380890 seconds
% 0.13/5.59 % Total memory used: 132.475 MB
% 0.13/5.59 % Net memory used: 130.747 MB
%------------------------------------------------------------------------------