TSTP Solution File: GEO336+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n004.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 : Wed May 31 12:08:47 EDT 2023
% Result : Theorem 0.10s 0.56s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 25
% Syntax : Number of formulae : 97 ( 29 unt; 0 def)
% Number of atoms : 349 ( 123 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 425 ( 173 ~; 181 |; 55 &)
% ( 11 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 12 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-8 aty)
% Number of variables : 127 (; 117 !; 10 ?)
% 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(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(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(f943,plain,
rpoint(vd1362),
inference(forward_demodulation,[status(thm)],[f149,f150]) ).
fof(f946,plain,
rpoint(vd1363),
inference(forward_demodulation,[status(thm)],[f272,f273]) ).
fof(f947,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1363,X0) = vf(X0,vd1363) ),
inference(resolution,[status(thm)],[f946,f706]) ).
fof(f948,plain,
rpoint(vd1361),
inference(forward_demodulation,[status(thm)],[f275,f276]) ).
fof(f951,plain,
( spl0_8
<=> vd1361 = vd1362 ),
introduced(split_symbol_definition) ).
fof(f952,plain,
( vd1361 = vd1362
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,plain,
( spl0_9
<=> vd1361 = vd1363 ),
introduced(split_symbol_definition) ).
fof(f955,plain,
( vd1361 = vd1363
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,plain,
( spl0_10
<=> rpoint(vd1362) ),
introduced(split_symbol_definition) ).
fof(f959,plain,
( ~ rpoint(vd1362)
| spl0_10 ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,plain,
( spl0_11
<=> rpoint(vd1361) ),
introduced(split_symbol_definition) ).
fof(f962,plain,
( ~ rpoint(vd1361)
| spl0_11 ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,plain,
( spl0_12
<=> rpoint(vd1363) ),
introduced(split_symbol_definition) ).
fof(f965,plain,
( ~ rpoint(vd1363)
| spl0_12 ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f971,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f965,f946]) ).
fof(f972,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f971]) ).
fof(f973,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f962,f948]) ).
fof(f974,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f973]) ).
fof(f975,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f959,f943]) ).
fof(f976,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f975]) ).
fof(f982,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f955,f269]) ).
fof(f983,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f982]) ).
fof(f984,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f952,f270]) ).
fof(f985,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f1236,plain,
( spl0_51
<=> rpoint(vd14) ),
introduced(split_symbol_definition) ).
fof(f1238,plain,
( ~ rpoint(vd14)
| spl0_51 ),
inference(component_clause,[status(thm)],[f1236]) ).
fof(f1266,plain,
( $false
| spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f1238,f569]) ).
fof(f1267,plain,
spl0_51,
inference(contradiction_clause,[status(thm)],[f1266]) ).
fof(f1458,plain,
( spl0_83
<=> vd1362 = vd1363 ),
introduced(split_symbol_definition) ).
fof(f1459,plain,
( vd1362 = vd1363
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f1458]) ).
fof(f1488,plain,
( $false
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f1459,f268]) ).
fof(f1489,plain,
~ spl0_83,
inference(contradiction_clause,[status(thm)],[f1488]) ).
fof(f1492,plain,
vf(vd1363,vd1361) = vf(vd1361,vd1363),
inference(resolution,[status(thm)],[f947,f948]) ).
fof(f1529,plain,
rless(vf(vd1361,vd1362),vf(vd1363,vd1361)),
inference(backward_demodulation,[status(thm)],[f1492,f130]) ).
fof(f1600,plain,
( spl0_109
<=> rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362)) ),
introduced(split_symbol_definition) ).
fof(f1603,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)],[f1529,f694]) ).
fof(f1604,plain,
( spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_109 ),
inference(split_clause,[status(thm)],[f1603,f951,f954,f957,f960,f963,f1600]) ).
fof(f1605,plain,
( spl0_110
<=> rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361) ),
introduced(split_symbol_definition) ).
fof(f1606,plain,
( rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f1605]) ).
fof(f1608,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)],[f1529,f693]) ).
fof(f1609,plain,
( spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_110 ),
inference(split_clause,[status(thm)],[f1608,f951,f954,f957,f960,f963,f1605]) ).
fof(f1610,plain,
( spl0_111
<=> vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362)) = vf(vd1361,vd1362) ),
introduced(split_symbol_definition) ).
fof(f1611,plain,
( vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362)) = vf(vd1361,vd1362)
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f1610]) ).
fof(f1613,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)],[f1529,f692]) ).
fof(f1614,plain,
( spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_111 ),
inference(split_clause,[status(thm)],[f1613,f951,f954,f957,f960,f963,f1610]) ).
fof(f2017,plain,
( spl0_145
<=> rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363) ),
introduced(split_symbol_definition) ).
fof(f2020,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_110 ),
inference(resolution,[status(thm)],[f1606,f720]) ).
fof(f2021,plain,
( ~ spl0_11
| ~ spl0_109
| ~ spl0_12
| spl0_145
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f2020,f960,f1600,f963,f2017,f1605]) ).
fof(f2237,plain,
( ~ rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)
| ~ rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))
| ~ spl0_111 ),
inference(resolution,[status(thm)],[f1611,f129]) ).
fof(f2238,plain,
( ~ spl0_145
| ~ spl0_109
| ~ spl0_111 ),
inference(split_clause,[status(thm)],[f2237,f2017,f1600,f1610]) ).
fof(f2274,plain,
$false,
inference(sat_refutation,[status(thm)],[f972,f974,f976,f983,f985,f1267,f1489,f1604,f1609,f1614,f2021,f2238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : GEO336+1 : TPTP v8.1.2. Released v4.1.0.
% 0.01/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n004.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 11:56:52 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.28 % Drodi V3.5.1
% 0.10/0.56 % Refutation found
% 0.10/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.01/0.59 % Elapsed time: 0.322838 seconds
% 1.01/0.59 % CPU time: 1.156702 seconds
% 1.01/0.59 % Memory used: 77.588 MB
%------------------------------------------------------------------------------