%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO332+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 1.16s 0.68s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 91 ( 30 unt; 8 def)
% Number of atoms : 309 ( 118 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 375 ( 157 ~; 163 |; 43 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-8 aty)
% Number of variables : 113 ( 106 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [Vd1371] :
( rpoint(Vd1371)
& rR(Vd1371,vd1362,vd1361)
& vf(vd1362,Vd1371) = vf(vd1361,vd1363) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [Vd1371] :
( rpoint(Vd1371)
& rR(Vd1371,vd1362,vd1361)
& vf(vd1362,Vd1371) = vf(vd1361,vd1363) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
vd1361 != vd1363,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
vd1361 != vd1362,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
? [Vd1368] :
( rpoint(Vd1368)
& vd1363 = Vd1368 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
? [Vd1367] :
( rpoint(Vd1367)
& vd1362 = Vd1367 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
? [Vd1366] :
( rpoint(Vd1366)
& vd1361 = Vd1366 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [Vd761,Vd762] :
( ( ? [Vd764] :
( rpoint(Vd764)
& Vd761 = Vd764 )
& ? [Vd765] :
( rpoint(Vd765)
& Vd762 = Vd765 ) )
=> vf(Vd761,Vd762) = vf(Vd762,Vd761) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f127,plain,
! [Vd1371] :
( ~ rpoint(Vd1371)
| ~ rR(Vd1371,vd1362,vd1361)
| vf(vd1362,Vd1371) != vf(vd1361,vd1363) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f128,plain,
! [X0] :
( ~ rpoint(X0)
| ~ rR(X0,vd1362,vd1361)
| vf(vd1362,X0) != vf(vd1361,vd1363) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f133,plain,
vd1361 != vd1363,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f134,plain,
vd1361 != vd1362,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f135,plain,
( rpoint(sK0_skl)
& vd1363 = sK0_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vd1368,sK0_skl)],[f9]) ).
fof(f136,plain,
vd1363 = sK0_skl,
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f137,plain,
rpoint(sK0_skl),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f138,plain,
( rpoint(sK1_skl)
& vd1362 = sK1_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Vd1367,sK1_skl)],[f10]) ).
fof(f139,plain,
vd1362 = sK1_skl,
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f140,plain,
rpoint(sK1_skl),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f141,plain,
( rpoint(sK2_skl)
& vd1361 = sK2_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Vd1366,sK2_skl)],[f11]) ).
fof(f142,plain,
vd1361 = sK2_skl,
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
rpoint(sK2_skl),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f169,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(f170,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)],[f169]) ).
fof(f171,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(f172,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)],[f171]) ).
fof(f173,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(f174,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)],[f173]) ).
fof(f199,plain,
! [Vd761,Vd762] :
( vf(Vd761,Vd762) = vf(Vd762,Vd761)
| ! [Vd764] :
( ~ rpoint(Vd764)
| Vd761 != Vd764 )
| ! [Vd765] :
( ~ rpoint(Vd765)
| Vd762 != Vd765 ) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f200,plain,
! [X0,X1,X2,X3] :
( vf(X2,X0) = vf(X0,X2)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f713,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)],[f170]) ).
fof(f714,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)],[f172]) ).
fof(f715,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)],[f174]) ).
fof(f728,plain,
! [X0,X1] :
( vf(X1,X0) = vf(X0,X1)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f200]) ).
fof(f936,plain,
vd1361 != sK0_skl,
inference(backward_demodulation,[status(thm)],[f136,f133]) ).
fof(f938,plain,
rless(vf(vd1361,sK0_skl),vf(vd1361,vd1362)),
inference(backward_demodulation,[status(thm)],[f136,f129]) ).
fof(f939,plain,
! [X0] :
( ~ rpoint(X0)
| ~ rR(X0,vd1362,vd1361)
| vf(vd1362,X0) != vf(vd1361,sK0_skl) ),
inference(backward_demodulation,[status(thm)],[f136,f128]) ).
fof(f941,plain,
vd1361 != sK1_skl,
inference(backward_demodulation,[status(thm)],[f139,f134]) ).
fof(f942,plain,
! [X0] :
( ~ rpoint(X0)
| ~ rR(X0,vd1362,vd1361)
| vf(sK1_skl,X0) != vf(vd1361,sK0_skl) ),
inference(forward_demodulation,[status(thm)],[f139,f939]) ).
fof(f943,plain,
! [X0] :
( ~ rpoint(X0)
| ~ rR(X0,sK1_skl,vd1361)
| vf(sK1_skl,X0) != vf(vd1361,sK0_skl) ),
inference(forward_demodulation,[status(thm)],[f139,f942]) ).
fof(f945,plain,
! [X0] :
( vf(X0,sK0_skl) = vf(sK0_skl,X0)
| ~ rpoint(X0) ),
inference(resolution,[status(thm)],[f728,f137]) ).
fof(f946,plain,
! [X0] :
( vf(X0,sK1_skl) = vf(sK1_skl,X0)
| ~ rpoint(X0) ),
inference(resolution,[status(thm)],[f140,f728]) ).
fof(f947,plain,
sK2_skl != sK0_skl,
inference(backward_demodulation,[status(thm)],[f142,f936]) ).
fof(f948,plain,
! [X0] :
( ~ rpoint(X0)
| ~ rR(X0,sK1_skl,sK2_skl)
| vf(sK1_skl,X0) != vf(vd1361,sK0_skl) ),
inference(backward_demodulation,[status(thm)],[f142,f943]) ).
fof(f949,plain,
! [X0] :
( ~ rpoint(X0)
| ~ rR(X0,sK1_skl,sK2_skl)
| vf(sK1_skl,X0) != vf(sK2_skl,sK0_skl) ),
inference(forward_demodulation,[status(thm)],[f142,f948]) ).
fof(f960,plain,
sK2_skl != sK1_skl,
inference(forward_demodulation,[status(thm)],[f142,f941]) ).
fof(f999,plain,
vf(sK2_skl,sK0_skl) = vf(sK0_skl,sK2_skl),
inference(resolution,[status(thm)],[f945,f143]) ).
fof(f1003,plain,
! [X0] :
( ~ rpoint(X0)
| ~ rR(X0,sK1_skl,sK2_skl)
| vf(sK1_skl,X0) != vf(sK0_skl,sK2_skl) ),
inference(backward_demodulation,[status(thm)],[f999,f949]) ).
fof(f1021,plain,
rless(vf(sK2_skl,sK0_skl),vf(vd1361,vd1362)),
inference(forward_demodulation,[status(thm)],[f142,f938]) ).
fof(f1022,plain,
rless(vf(sK0_skl,sK2_skl),vf(vd1361,vd1362)),
inference(forward_demodulation,[status(thm)],[f999,f1021]) ).
fof(f1023,plain,
rless(vf(sK0_skl,sK2_skl),vf(sK2_skl,vd1362)),
inference(forward_demodulation,[status(thm)],[f142,f1022]) ).
fof(f1024,plain,
rless(vf(sK0_skl,sK2_skl),vf(sK2_skl,sK1_skl)),
inference(forward_demodulation,[status(thm)],[f139,f1023]) ).
fof(f1026,plain,
vf(sK2_skl,sK1_skl) = vf(sK1_skl,sK2_skl),
inference(resolution,[status(thm)],[f946,f143]) ).
fof(f1036,definition,
( sQ8_spl
<=> sK0_skl = sK2_skl ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
( ~ sQ8_spl
| sK0_skl = sK2_skl ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1039,definition,
( sQ9_spl
<=> sK2_skl = sK1_skl ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( ~ sQ9_spl
| sK2_skl = sK1_skl ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,definition,
( sQ10_spl
<=> rpoint(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( sQ10_spl
| ~ rpoint(sK2_skl) ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1045,definition,
( sQ11_spl
<=> rpoint(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
( sQ11_spl
| ~ rpoint(sK0_skl) ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1048,definition,
( sQ12_spl
<=> rpoint(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
( sQ12_spl
| ~ rpoint(sK1_skl) ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1088,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1047,f137]) ).
fof(f1089,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1088]) ).
fof(f1090,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1044,f143]) ).
fof(f1091,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f1090]) ).
fof(f1092,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1037,f947]) ).
fof(f1093,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f1092]) ).
fof(f1094,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1050,f140]) ).
fof(f1095,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1094]) ).
fof(f1101,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1040,f960]) ).
fof(f1102,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f1101]) ).
fof(f1183,plain,
rless(vf(sK0_skl,sK2_skl),vf(sK1_skl,sK2_skl)),
inference(backward_demodulation,[status(thm)],[f1026,f1024]) ).
fof(f1216,plain,
( rpoint(vskolem1120(sK1_skl,sK1_skl,sK2_skl,sK2_skl,sK0_skl,sK0_skl,sK2_skl,sK2_skl))
| ~ rpoint(sK1_skl)
| ~ rpoint(sK2_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK2_skl)
| sK1_skl = sK2_skl
| sK0_skl = sK2_skl ),
inference(resolution,[status(thm)],[f1183,f715]) ).
fof(f1217,plain,
( rR(vskolem1120(sK1_skl,sK1_skl,sK2_skl,sK2_skl,sK0_skl,sK0_skl,sK2_skl,sK2_skl),sK1_skl,sK2_skl)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK2_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK2_skl)
| sK1_skl = sK2_skl
| sK0_skl = sK2_skl ),
inference(resolution,[status(thm)],[f1183,f714]) ).
fof(f1218,plain,
( vf(sK1_skl,vskolem1120(sK1_skl,sK1_skl,sK2_skl,sK2_skl,sK0_skl,sK0_skl,sK2_skl,sK2_skl)) = vf(sK0_skl,sK2_skl)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK2_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK2_skl)
| sK1_skl = sK2_skl
| sK0_skl = sK2_skl ),
inference(resolution,[status(thm)],[f1183,f713]) ).
fof(f1219,definition,
( sQ43_spl
<=> rpoint(vskolem1120(sK1_skl,sK1_skl,sK2_skl,sK2_skl,sK0_skl,sK0_skl,sK2_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1222,plain,
( sQ43_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1216,f1036,f1039,f1042,f1045,f1048,f1219]) ).
fof(f1223,definition,
( sQ44_spl
<=> rR(vskolem1120(sK1_skl,sK1_skl,sK2_skl,sK2_skl,sK0_skl,sK0_skl,sK2_skl,sK2_skl),sK1_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1224,plain,
( ~ sQ44_spl
| rR(vskolem1120(sK1_skl,sK1_skl,sK2_skl,sK2_skl,sK0_skl,sK0_skl,sK2_skl,sK2_skl),sK1_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f1223]) ).
fof(f1226,plain,
( sQ44_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1217,f1036,f1039,f1042,f1045,f1048,f1223]) ).
fof(f1227,definition,
( sQ45_spl
<=> vf(sK1_skl,vskolem1120(sK1_skl,sK1_skl,sK2_skl,sK2_skl,sK0_skl,sK0_skl,sK2_skl,sK2_skl)) = vf(sK0_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1230,plain,
( sQ45_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1218,f1036,f1039,f1042,f1045,f1048,f1227]) ).
fof(f1336,plain,
( ~ sQ44_spl
| ~ rpoint(vskolem1120(sK1_skl,sK1_skl,sK2_skl,sK2_skl,sK0_skl,sK0_skl,sK2_skl,sK2_skl))
| vf(sK1_skl,vskolem1120(sK1_skl,sK1_skl,sK2_skl,sK2_skl,sK0_skl,sK0_skl,sK2_skl,sK2_skl)) != vf(sK0_skl,sK2_skl) ),
inference(resolution,[status(thm)],[f1224,f1003]) ).
fof(f1344,plain,
( ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1336,f1227,f1219,f1223]) ).
fof(f1376,plain,
$false,
inference(sat_refutation,[status(thm)],[f1089,f1091,f1093,f1095,f1102,f1222,f1226,f1230,f1344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO332+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 15:23:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.40 % Drodi V4.1.1
% 1.16/0.68 % Refutation found
% 1.16/0.68 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.16/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.16/0.71 % Elapsed time: 0.322128 seconds
% 1.16/0.71 % CPU time: 2.132379 seconds
% 1.16/0.71 % Total memory used: 132.259 MB
% 1.16/0.71 % Net memory used: 130.428 MB
%------------------------------------------------------------------------------