TSTP Solution File: GEO336+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO336+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:17:57 EDT 2024
% Result : Theorem 0.20s 0.55s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 33
% Syntax : Number of formulae : 139 ( 42 unt; 0 def)
% Number of atoms : 430 ( 144 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 498 ( 207 ~; 207 |; 60 &)
% ( 18 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 19 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-8 aty)
% Number of variables : 144 ( 131 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [Vd1378] :
( vf(vd1363,Vd1378) = vf(vd1361,vd1362)
& rR(Vd1378,vd1361,vd1363)
& rpoint(Vd1378) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [Vd1378] :
( vf(vd1363,Vd1378) = vf(vd1361,vd1362)
& rR(Vd1378,vd1361,vd1363)
& rpoint(Vd1378) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rless(vf(vd1361,vd1362),vf(vd1361,vd1363)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :
( ( rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111))
& Vd1113 != Vd1115
& Vd1109 != Vd1111
& Vd1115 = Vd1116
& rpoint(Vd1116)
& Vd1113 = Vd1114
& rpoint(Vd1114)
& Vd1111 = Vd1112
& rpoint(Vd1112)
& Vd1109 = Vd1110
& rpoint(Vd1110) )
=> vf(Vd1109,vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116)) = vf(Vd1113,Vd1115) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :
( ( rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111))
& Vd1113 != Vd1115
& Vd1109 != Vd1111
& Vd1115 = Vd1116
& rpoint(Vd1116)
& Vd1113 = Vd1114
& rpoint(Vd1114)
& Vd1111 = Vd1112
& rpoint(Vd1112)
& Vd1109 = Vd1110
& rpoint(Vd1110) )
=> rR(vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116),Vd1109,Vd1111) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :
( ( rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111))
& Vd1113 != Vd1115
& Vd1109 != Vd1111
& Vd1115 = Vd1116
& rpoint(Vd1116)
& Vd1113 = Vd1114
& rpoint(Vd1114)
& Vd1111 = Vd1112
& rpoint(Vd1112)
& Vd1109 = Vd1110
& rpoint(Vd1110) )
=> rpoint(vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
? [Vd1367] :
( vd1362 = Vd1367
& rpoint(Vd1367) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Vd761,Vd762] :
( ( ? [Vd765] :
( Vd762 = Vd765
& rpoint(Vd765) )
& ? [Vd764] :
( Vd761 = Vd764
& rpoint(Vd764) ) )
=> vf(Vd761,Vd762) = vf(Vd762,Vd761) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Vd340,Vd341,Vd342] :
( ( rR(Vd341,Vd340,Vd342)
& ? [Vd346] :
( Vd342 = Vd346
& rpoint(Vd346) )
& ? [Vd345] :
( Vd341 = Vd345
& rpoint(Vd345) )
& ? [Vd344] :
( Vd340 = Vd344
& rpoint(Vd344) ) )
=> ( ~ rR(Vd340,Vd341,Vd342)
& Vd340 != Vd342
& Vd340 != Vd341
& rR(Vd341,Vd342,Vd340) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
vd1362 != vd1363,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
vd1361 != vd1363,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
vd1361 != vd1362,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
? [Vd1368] :
( vd1363 = Vd1368
& rpoint(Vd1368) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
? [Vd1366] :
( vd1361 = Vd1366
& rpoint(Vd1366) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f110,axiom,
! [Vd15,Vd16] :
( ( Vd15 = Vd16
& rpoint(Vd16) )
=> ? [Vd17] :
( Vd17 != Vd15
& rpoint(Vd17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f111,axiom,
rpoint(vd14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f128,plain,
! [Vd1378] :
( vf(vd1363,Vd1378) != vf(vd1361,vd1362)
| ~ rR(Vd1378,vd1361,vd1363)
| ~ rpoint(Vd1378) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f129,plain,
! [X0] :
( vf(vd1363,X0) != vf(vd1361,vd1362)
| ~ rR(X0,vd1361,vd1363)
| ~ rpoint(X0) ),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f130,plain,
rless(vf(vd1361,vd1362),vf(vd1361,vd1363)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f132,plain,
! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :
( ~ rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111))
| Vd1113 = Vd1115
| Vd1109 = Vd1111
| Vd1115 != Vd1116
| ~ rpoint(Vd1116)
| Vd1113 != Vd1114
| ~ rpoint(Vd1114)
| Vd1111 != Vd1112
| ~ rpoint(Vd1112)
| Vd1109 != Vd1110
| ~ rpoint(Vd1110)
| vf(Vd1109,vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116)) = vf(Vd1113,Vd1115) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ rless(vf(X0,X1),vf(X2,X3))
| X0 = X1
| X2 = X3
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| vf(X2,vskolem1120(X2,X7,X3,X6,X0,X5,X1,X4)) = vf(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f134,plain,
! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :
( ~ rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111))
| Vd1113 = Vd1115
| Vd1109 = Vd1111
| Vd1115 != Vd1116
| ~ rpoint(Vd1116)
| Vd1113 != Vd1114
| ~ rpoint(Vd1114)
| Vd1111 != Vd1112
| ~ rpoint(Vd1112)
| Vd1109 != Vd1110
| ~ rpoint(Vd1110)
| rR(vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116),Vd1109,Vd1111) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ rless(vf(X0,X1),vf(X2,X3))
| X0 = X1
| X2 = X3
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| rR(vskolem1120(X2,X7,X3,X6,X0,X5,X1,X4),X2,X3) ),
inference(cnf_transformation,[status(esa)],[f134]) ).
fof(f136,plain,
! [Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116] :
( ~ rless(vf(Vd1113,Vd1115),vf(Vd1109,Vd1111))
| Vd1113 = Vd1115
| Vd1109 = Vd1111
| Vd1115 != Vd1116
| ~ rpoint(Vd1116)
| Vd1113 != Vd1114
| ~ rpoint(Vd1114)
| Vd1111 != Vd1112
| ~ rpoint(Vd1112)
| Vd1109 != Vd1110
| ~ rpoint(Vd1110)
| rpoint(vskolem1120(Vd1109,Vd1110,Vd1111,Vd1112,Vd1113,Vd1114,Vd1115,Vd1116)) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ rless(vf(X0,X1),vf(X2,X3))
| X0 = X1
| X2 = X3
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7)
| rpoint(vskolem1120(X2,X7,X3,X6,X0,X5,X1,X4)) ),
inference(cnf_transformation,[status(esa)],[f136]) ).
fof(f148,plain,
( vd1362 = sk0_0
& rpoint(sk0_0) ),
inference(skolemization,[status(esa)],[f11]) ).
fof(f149,plain,
vd1362 = sk0_0,
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f150,plain,
rpoint(sk0_0),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f165,plain,
! [Vd761,Vd762] :
( ! [Vd765] :
( Vd762 != Vd765
| ~ rpoint(Vd765) )
| ! [Vd764] :
( Vd761 != Vd764
| ~ rpoint(Vd764) )
| vf(Vd761,Vd762) = vf(Vd762,Vd761) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( X0 != X1
| ~ rpoint(X1)
| X2 != X3
| ~ rpoint(X3)
| vf(X2,X0) = vf(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f165]) ).
fof(f184,plain,
! [Vd340,Vd341,Vd342] :
( ~ rR(Vd341,Vd340,Vd342)
| ! [Vd346] :
( Vd342 != Vd346
| ~ rpoint(Vd346) )
| ! [Vd345] :
( Vd341 != Vd345
| ~ rpoint(Vd345) )
| ! [Vd344] :
( Vd340 != Vd344
| ~ rpoint(Vd344) )
| ( ~ rR(Vd340,Vd341,Vd342)
& Vd340 != Vd342
& Vd340 != Vd341
& rR(Vd341,Vd342,Vd340) ) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ rR(X0,X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5)
| rR(X0,X2,X1) ),
inference(cnf_transformation,[status(esa)],[f184]) ).
fof(f268,plain,
vd1362 != vd1363,
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f269,plain,
vd1361 != vd1363,
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f270,plain,
vd1361 != vd1362,
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f271,plain,
( vd1363 = sk0_9
& rpoint(sk0_9) ),
inference(skolemization,[status(esa)],[f46]) ).
fof(f272,plain,
vd1363 = sk0_9,
inference(cnf_transformation,[status(esa)],[f271]) ).
fof(f273,plain,
rpoint(sk0_9),
inference(cnf_transformation,[status(esa)],[f271]) ).
fof(f274,plain,
( vd1361 = sk0_10
& rpoint(sk0_10) ),
inference(skolemization,[status(esa)],[f47]) ).
fof(f275,plain,
vd1361 = sk0_10,
inference(cnf_transformation,[status(esa)],[f274]) ).
fof(f276,plain,
rpoint(sk0_10),
inference(cnf_transformation,[status(esa)],[f274]) ).
fof(f564,plain,
! [Vd15,Vd16] :
( Vd15 != Vd16
| ~ rpoint(Vd16)
| ? [Vd17] :
( Vd17 != Vd15
& rpoint(Vd17) ) ),
inference(pre_NNF_transformation,[status(esa)],[f110]) ).
fof(f565,plain,
! [Vd15] :
( ! [Vd16] :
( Vd15 != Vd16
| ~ rpoint(Vd16) )
| ? [Vd17] :
( Vd17 != Vd15
& rpoint(Vd17) ) ),
inference(miniscoping,[status(esa)],[f564]) ).
fof(f566,plain,
! [Vd15] :
( ! [Vd16] :
( Vd15 != Vd16
| ~ rpoint(Vd16) )
| ( sk0_44(Vd15) != Vd15
& rpoint(sk0_44(Vd15)) ) ),
inference(skolemization,[status(esa)],[f565]) ).
fof(f567,plain,
! [X0,X1] :
( X0 != X1
| ~ rpoint(X1)
| sk0_44(X0) != X0 ),
inference(cnf_transformation,[status(esa)],[f566]) ).
fof(f568,plain,
! [X0,X1] :
( X0 != X1
| ~ rpoint(X1)
| rpoint(sk0_44(X0)) ),
inference(cnf_transformation,[status(esa)],[f566]) ).
fof(f569,plain,
rpoint(vd14),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f692,plain,
! [X0,X1,X2,X3] :
( ~ rless(vf(X0,X1),vf(X2,X3))
| X0 = X1
| X2 = X3
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X2,vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1)) = vf(X0,X1) ),
inference(destructive_equality_resolution,[status(esa)],[f133]) ).
fof(f693,plain,
! [X0,X1,X2,X3] :
( ~ rless(vf(X0,X1),vf(X2,X3))
| X0 = X1
| X2 = X3
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X2)
| rR(vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1),X2,X3) ),
inference(destructive_equality_resolution,[status(esa)],[f135]) ).
fof(f694,plain,
! [X0,X1,X2,X3] :
( ~ rless(vf(X0,X1),vf(X2,X3))
| X0 = X1
| X2 = X3
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X2)
| rpoint(vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1)) ),
inference(destructive_equality_resolution,[status(esa)],[f137]) ).
fof(f706,plain,
! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vf(X1,X0) = vf(X0,X1) ),
inference(destructive_equality_resolution,[status(esa)],[f166]) ).
fof(f720,plain,
! [X0,X1,X2] :
( ~ rR(X0,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X0,X2,X1) ),
inference(destructive_equality_resolution,[status(esa)],[f188]) ).
fof(f890,plain,
! [X0] :
( ~ rpoint(X0)
| sk0_44(X0) != X0 ),
inference(destructive_equality_resolution,[status(esa)],[f567]) ).
fof(f891,plain,
! [X0] :
( ~ rpoint(X0)
| rpoint(sk0_44(X0)) ),
inference(destructive_equality_resolution,[status(esa)],[f568]) ).
fof(f925,plain,
rpoint(vd1362),
inference(forward_demodulation,[status(thm)],[f149,f150]) ).
fof(f928,plain,
rpoint(vd1363),
inference(forward_demodulation,[status(thm)],[f272,f273]) ).
fof(f929,plain,
! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1363) = vf(vd1363,X0) ),
inference(resolution,[status(thm)],[f928,f706]) ).
fof(f930,plain,
rpoint(vd1361),
inference(forward_demodulation,[status(thm)],[f275,f276]) ).
fof(f934,plain,
sk0_44(vd1361) != vd1361,
inference(resolution,[status(thm)],[f890,f930]) ).
fof(f935,plain,
sk0_44(vd1363) != vd1363,
inference(resolution,[status(thm)],[f890,f928]) ).
fof(f936,plain,
sk0_44(vd1362) != vd1362,
inference(resolution,[status(thm)],[f890,f925]) ).
fof(f937,plain,
( spl0_8
<=> vd1361 = vd1362 ),
introduced(split_symbol_definition) ).
fof(f938,plain,
( vd1361 = vd1362
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,plain,
( spl0_9
<=> vd1361 = vd1363 ),
introduced(split_symbol_definition) ).
fof(f941,plain,
( vd1361 = vd1363
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,plain,
( spl0_10
<=> rpoint(vd1362) ),
introduced(split_symbol_definition) ).
fof(f945,plain,
( ~ rpoint(vd1362)
| spl0_10 ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f946,plain,
( spl0_11
<=> rpoint(vd1361) ),
introduced(split_symbol_definition) ).
fof(f948,plain,
( ~ rpoint(vd1361)
| spl0_11 ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f949,plain,
( spl0_12
<=> rpoint(vd1363) ),
introduced(split_symbol_definition) ).
fof(f951,plain,
( ~ rpoint(vd1363)
| spl0_12 ),
inference(component_clause,[status(thm)],[f949]) ).
fof(f957,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f951,f928]) ).
fof(f958,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f957]) ).
fof(f959,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f948,f930]) ).
fof(f960,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f959]) ).
fof(f961,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f945,f925]) ).
fof(f962,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f961]) ).
fof(f968,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f941,f269]) ).
fof(f969,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f968]) ).
fof(f970,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f938,f270]) ).
fof(f971,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f970]) ).
fof(f1202,plain,
( spl0_51
<=> rpoint(vd14) ),
introduced(split_symbol_definition) ).
fof(f1204,plain,
( ~ rpoint(vd14)
| spl0_51 ),
inference(component_clause,[status(thm)],[f1202]) ).
fof(f1232,plain,
( $false
| spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f1204,f569]) ).
fof(f1233,plain,
spl0_51,
inference(contradiction_clause,[status(thm)],[f1232]) ).
fof(f1376,plain,
( spl0_77
<=> vd1362 = vd1363 ),
introduced(split_symbol_definition) ).
fof(f1377,plain,
( vd1362 = vd1363
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f1376]) ).
fof(f1406,plain,
( $false
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f1377,f268]) ).
fof(f1407,plain,
~ spl0_77,
inference(contradiction_clause,[status(thm)],[f1406]) ).
fof(f1410,plain,
vf(vd1361,vd1363) = vf(vd1363,vd1361),
inference(resolution,[status(thm)],[f929,f930]) ).
fof(f1447,plain,
rless(vf(vd1361,vd1362),vf(vd1363,vd1361)),
inference(backward_demodulation,[status(thm)],[f1410,f130]) ).
fof(f1518,plain,
( spl0_103
<=> rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362)) ),
introduced(split_symbol_definition) ).
fof(f1521,plain,
( vd1361 = vd1362
| vd1363 = vd1361
| ~ rpoint(vd1362)
| ~ rpoint(vd1361)
| ~ rpoint(vd1361)
| ~ rpoint(vd1363)
| rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362)) ),
inference(resolution,[status(thm)],[f1447,f694]) ).
fof(f1522,plain,
( spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_103 ),
inference(split_clause,[status(thm)],[f1521,f937,f940,f943,f946,f949,f1518]) ).
fof(f1523,plain,
( spl0_104
<=> rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361) ),
introduced(split_symbol_definition) ).
fof(f1524,plain,
( rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f1523]) ).
fof(f1526,plain,
( vd1361 = vd1362
| vd1363 = vd1361
| ~ rpoint(vd1362)
| ~ rpoint(vd1361)
| ~ rpoint(vd1361)
| ~ rpoint(vd1363)
| rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361) ),
inference(resolution,[status(thm)],[f1447,f693]) ).
fof(f1527,plain,
( spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_104 ),
inference(split_clause,[status(thm)],[f1526,f937,f940,f943,f946,f949,f1523]) ).
fof(f1528,plain,
( spl0_105
<=> vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362)) = vf(vd1361,vd1362) ),
introduced(split_symbol_definition) ).
fof(f1531,plain,
( vd1361 = vd1362
| vd1363 = vd1361
| ~ rpoint(vd1362)
| ~ rpoint(vd1361)
| ~ rpoint(vd1361)
| ~ rpoint(vd1363)
| vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362)) = vf(vd1361,vd1362) ),
inference(resolution,[status(thm)],[f1447,f692]) ).
fof(f1532,plain,
( spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_105 ),
inference(split_clause,[status(thm)],[f1531,f937,f940,f943,f946,f949,f1528]) ).
fof(f1546,plain,
rpoint(sk0_44(vd1361)),
inference(resolution,[status(thm)],[f891,f930]) ).
fof(f1547,plain,
rpoint(sk0_44(vd1363)),
inference(resolution,[status(thm)],[f891,f928]) ).
fof(f1548,plain,
rpoint(sk0_44(vd1362)),
inference(resolution,[status(thm)],[f891,f925]) ).
fof(f1833,plain,
( spl0_140
<=> rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363) ),
introduced(split_symbol_definition) ).
fof(f1834,plain,
( rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)
| ~ spl0_140 ),
inference(component_clause,[status(thm)],[f1833]) ).
fof(f1836,plain,
( ~ rpoint(vd1361)
| ~ rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))
| ~ rpoint(vd1363)
| rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)
| ~ spl0_104 ),
inference(resolution,[status(thm)],[f1524,f720]) ).
fof(f1837,plain,
( ~ spl0_11
| ~ spl0_103
| ~ spl0_12
| spl0_140
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f1836,f946,f1518,f949,f1833,f1523]) ).
fof(f1892,plain,
( spl0_150
<=> sk0_44(vd1363) = vd1363 ),
introduced(split_symbol_definition) ).
fof(f1893,plain,
( sk0_44(vd1363) = vd1363
| ~ spl0_150 ),
inference(component_clause,[status(thm)],[f1892]) ).
fof(f1895,plain,
( spl0_151
<=> rpoint(sk0_44(vd1363)) ),
introduced(split_symbol_definition) ).
fof(f1897,plain,
( ~ rpoint(sk0_44(vd1363))
| spl0_151 ),
inference(component_clause,[status(thm)],[f1895]) ).
fof(f1928,plain,
( $false
| spl0_151 ),
inference(forward_subsumption_resolution,[status(thm)],[f1897,f1547]) ).
fof(f1929,plain,
spl0_151,
inference(contradiction_clause,[status(thm)],[f1928]) ).
fof(f1930,plain,
( $false
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[status(thm)],[f1893,f935]) ).
fof(f1931,plain,
~ spl0_150,
inference(contradiction_clause,[status(thm)],[f1930]) ).
fof(f2013,plain,
( spl0_173
<=> rpoint(sk0_44(vd1361)) ),
introduced(split_symbol_definition) ).
fof(f2015,plain,
( ~ rpoint(sk0_44(vd1361))
| spl0_173 ),
inference(component_clause,[status(thm)],[f2013]) ).
fof(f2043,plain,
( $false
| spl0_173 ),
inference(forward_subsumption_resolution,[status(thm)],[f2015,f1546]) ).
fof(f2044,plain,
spl0_173,
inference(contradiction_clause,[status(thm)],[f2043]) ).
fof(f2048,plain,
( spl0_180
<=> sk0_44(vd1361) = vd1361 ),
introduced(split_symbol_definition) ).
fof(f2049,plain,
( sk0_44(vd1361) = vd1361
| ~ spl0_180 ),
inference(component_clause,[status(thm)],[f2048]) ).
fof(f2078,plain,
( $false
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[status(thm)],[f2049,f934]) ).
fof(f2079,plain,
~ spl0_180,
inference(contradiction_clause,[status(thm)],[f2078]) ).
fof(f2577,plain,
( spl0_233
<=> rpoint(sk0_44(vd1362)) ),
introduced(split_symbol_definition) ).
fof(f2579,plain,
( ~ rpoint(sk0_44(vd1362))
| spl0_233 ),
inference(component_clause,[status(thm)],[f2577]) ).
fof(f2612,plain,
( $false
| spl0_233 ),
inference(forward_subsumption_resolution,[status(thm)],[f2579,f1548]) ).
fof(f2613,plain,
spl0_233,
inference(contradiction_clause,[status(thm)],[f2612]) ).
fof(f2650,plain,
( spl0_247
<=> sk0_44(vd1362) = vd1362 ),
introduced(split_symbol_definition) ).
fof(f2651,plain,
( sk0_44(vd1362) = vd1362
| ~ spl0_247 ),
inference(component_clause,[status(thm)],[f2650]) ).
fof(f2680,plain,
( $false
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[status(thm)],[f2651,f936]) ).
fof(f2681,plain,
~ spl0_247,
inference(contradiction_clause,[status(thm)],[f2680]) ).
fof(f2835,plain,
( spl0_262
<=> rless(vf(vd1361,vd1362),vf(vd1363,vd1361)) ),
introduced(split_symbol_definition) ).
fof(f2837,plain,
( ~ rless(vf(vd1361,vd1362),vf(vd1363,vd1361))
| spl0_262 ),
inference(component_clause,[status(thm)],[f2835]) ).
fof(f2843,plain,
( $false
| spl0_262 ),
inference(forward_subsumption_resolution,[status(thm)],[f2837,f1447]) ).
fof(f2844,plain,
spl0_262,
inference(contradiction_clause,[status(thm)],[f2843]) ).
fof(f3215,plain,
( vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362)) != vf(vd1361,vd1362)
| ~ rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))
| ~ spl0_140 ),
inference(resolution,[status(thm)],[f1834,f129]) ).
fof(f3216,plain,
( ~ spl0_105
| ~ spl0_103
| ~ spl0_140 ),
inference(split_clause,[status(thm)],[f3215,f1528,f1518,f1833]) ).
fof(f3252,plain,
$false,
inference(sat_refutation,[status(thm)],[f958,f960,f962,f969,f971,f1233,f1407,f1522,f1527,f1532,f1837,f1929,f1931,f2044,f2079,f2613,f2681,f2844,f3216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO336+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 02:03:32 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.39 % Drodi V3.6.0
% 0.20/0.55 % Refutation found
% 0.20/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.28/0.58 % Elapsed time: 0.210570 seconds
% 1.28/0.58 % CPU time: 1.284863 seconds
% 1.28/0.58 % Total memory used: 84.615 MB
% 1.28/0.58 % Net memory used: 84.009 MB
%------------------------------------------------------------------------------