%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO307+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 : n009.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 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 28
% Syntax : Number of formulae : 120 ( 57 unt; 15 def)
% Number of atoms : 382 ( 111 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 466 ( 204 ~; 191 |; 54 &)
% ( 15 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 16 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 95 ( 82 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1288,vd1287,vd1289) = vangle(vd1288,vd1287,vd1306),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
vangle(vd1288,vd1287,vd1289) != vangle(vd1288,vd1287,vd1306),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
~ rR(vd1287,vd1289,vd1306),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
rpoint(vd1306),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
vd1306 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
ron(vd1306,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
rline(vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
rline(vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f148,plain,
vangle(vd1288,vd1287,vd1289) != vangle(vd1288,vd1287,vd1306),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f149,plain,
~ rR(vd1287,vd1289,vd1306),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f152,plain,
rpoint(vd1306),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f157,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)],[f8]) ).
fof(f160,plain,
vd1287 != vd1289,
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f161,plain,
vd1287 != vd1288,
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f162,plain,
vd1289 = sK0_skl,
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f163,plain,
rpoint(sK0_skl),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f164,plain,
vd1288 = sK1_skl,
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f165,plain,
rpoint(sK1_skl),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f166,plain,
vd1287 = sK2_skl,
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f167,plain,
rpoint(sK2_skl),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f171,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)],[f10]) ).
fof(f173,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)],[f171]) ).
fof(f176,plain,
vd1306 != vd1287,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f179,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)],[f14]) ).
fof(f180,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)],[f179]) ).
fof(f181,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)],[f180]) ).
fof(f187,plain,
ron(vd1306,vd1297),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f193,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f195,plain,
rline(vd1297),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f196,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f197,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f198,plain,
rline(vd1295),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f745,plain,
! [X4,X3] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X4,X3,X3) ),
inference(destructive_equality_resolution,[status(thm)],[f173]) ).
fof(f746,plain,
! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rR(X0,X1,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f745]) ).
fof(f750,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)],[f181]) ).
fof(f978,plain,
~ rR(vd1287,sK0_skl,vd1306),
inference(backward_demodulation,[status(thm)],[f162,f149]) ).
fof(f979,plain,
vd1287 != sK0_skl,
inference(backward_demodulation,[status(thm)],[f162,f160]) ).
fof(f981,plain,
vangle(vd1288,vd1287,sK0_skl) != vangle(vd1288,vd1287,vd1306),
inference(backward_demodulation,[status(thm)],[f162,f148]) ).
fof(f983,plain,
vd1287 != sK1_skl,
inference(backward_demodulation,[status(thm)],[f164,f161]) ).
fof(f985,plain,
vd1306 != sK2_skl,
inference(backward_demodulation,[status(thm)],[f166,f176]) ).
fof(f1009,definition,
( sQ10_spl
<=> rpoint(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1011,plain,
( sQ10_spl
| ~ rpoint(sK1_skl) ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1012,definition,
( sQ11_spl
<=> rpoint(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1014,plain,
( sQ11_spl
| ~ rpoint(sK2_skl) ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1022,definition,
( sQ14_spl
<=> rpoint(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1024,plain,
( sQ14_spl
| ~ rpoint(sK0_skl) ),
inference(component_clause,[status(thm)],[f1022]) ).
fof(f1026,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1014,f167]) ).
fof(f1027,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1026]) ).
fof(f1028,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1024,f163]) ).
fof(f1029,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f1028]) ).
fof(f1032,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1011,f165]) ).
fof(f1033,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f1032]) ).
fof(f1034,plain,
vangle(sK1_skl,vd1287,sK0_skl) != vangle(vd1288,vd1287,vd1306),
inference(forward_demodulation,[status(thm)],[f164,f981]) ).
fof(f1035,plain,
vangle(sK1_skl,sK2_skl,sK0_skl) != vangle(vd1288,vd1287,vd1306),
inference(forward_demodulation,[status(thm)],[f166,f1034]) ).
fof(f1036,plain,
vangle(sK1_skl,sK2_skl,sK0_skl) != vangle(sK1_skl,vd1287,vd1306),
inference(forward_demodulation,[status(thm)],[f164,f1035]) ).
fof(f1037,plain,
vangle(sK1_skl,sK2_skl,sK0_skl) != vangle(sK1_skl,sK2_skl,vd1306),
inference(forward_demodulation,[status(thm)],[f166,f1036]) ).
fof(f1038,plain,
sK2_skl != sK0_skl,
inference(forward_demodulation,[status(thm)],[f166,f979]) ).
fof(f1040,plain,
sK2_skl != sK1_skl,
inference(forward_demodulation,[status(thm)],[f166,f983]) ).
fof(f1044,plain,
~ rR(sK2_skl,sK0_skl,vd1306),
inference(forward_demodulation,[status(thm)],[f166,f978]) ).
fof(f1047,plain,
ron(sK0_skl,vd1297),
inference(forward_demodulation,[status(thm)],[f162,f193]) ).
fof(f1049,plain,
ron(sK1_skl,vd1295),
inference(forward_demodulation,[status(thm)],[f164,f196]) ).
fof(f1050,plain,
ron(sK2_skl,vd1295),
inference(forward_demodulation,[status(thm)],[f166,f197]) ).
fof(f1078,plain,
! [X0,X1] :
( ~ rpoint(sK2_skl)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK1_skl)
| ~ rpoint(vd1306)
| ~ rline(X1)
| ~ rline(X0)
| ~ ron(sK2_skl,X1)
| ~ ron(sK1_skl,X1)
| ~ ron(sK1_skl,X1)
| ~ ron(sK0_skl,X0)
| ~ ron(vd1306,X0)
| sK1_skl = sK2_skl
| sK0_skl = sK2_skl
| sK1_skl = sK2_skl
| vd1306 = sK2_skl
| rR(sK2_skl,sK1_skl,sK1_skl)
| rR(sK2_skl,sK0_skl,vd1306) ),
inference(resolution,[status(thm)],[f750,f1037]) ).
fof(f1080,definition,
( sQ19_spl
<=> rR(sK2_skl,sK0_skl,vd1306) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1081,plain,
( ~ sQ19_spl
| rR(sK2_skl,sK0_skl,vd1306) ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1083,definition,
( sQ20_spl
<=> rR(sK2_skl,sK1_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1084,plain,
( ~ sQ20_spl
| rR(sK2_skl,sK1_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1086,definition,
( sQ21_spl
<=> vd1306 = sK2_skl ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1087,plain,
( ~ sQ21_spl
| vd1306 = sK2_skl ),
inference(component_clause,[status(thm)],[f1086]) ).
fof(f1089,definition,
( sQ22_spl
<=> sK1_skl = sK2_skl ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1090,plain,
( ~ sQ22_spl
| sK1_skl = sK2_skl ),
inference(component_clause,[status(thm)],[f1089]) ).
fof(f1092,definition,
( sQ23_spl
<=> sK0_skl = sK2_skl ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1093,plain,
( ~ sQ23_spl
| sK0_skl = sK2_skl ),
inference(component_clause,[status(thm)],[f1092]) ).
fof(f1095,definition,
! [X0] :
( sQ24_spl
<=> ( ~ rline(X0)
| ~ ron(sK0_skl,X0)
| ~ ron(vd1306,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ24_spl
| ~ rline(X0)
| ~ ron(sK0_skl,X0)
| ~ ron(vd1306,X0) ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1098,definition,
! [X1] :
( sQ25_spl
<=> ( ~ rline(X1)
| ~ ron(sK2_skl,X1)
| ~ ron(sK1_skl,X1)
| ~ ron(sK1_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ25_spl
| ~ rline(X0)
| ~ ron(sK2_skl,X0)
| ~ ron(sK1_skl,X0)
| ~ ron(sK1_skl,X0) ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1101,definition,
( sQ26_spl
<=> rpoint(vd1306) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1103,plain,
( sQ26_spl
| ~ rpoint(vd1306) ),
inference(component_clause,[status(thm)],[f1101]) ).
fof(f1104,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ26_spl
| sQ25_spl
| sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f1078,f1080,f1083,f1086,f1089,f1092,f1095,f1098,f1101,f1009,f1022,f1012]) ).
fof(f1109,plain,
( sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1103,f152]) ).
fof(f1110,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f1109]) ).
fof(f1111,plain,
! [X0] :
( ~ sQ25_spl
| ~ rline(X0)
| ~ ron(sK2_skl,X0)
| ~ ron(sK1_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1099]) ).
fof(f1112,plain,
( ~ sQ25_spl
| ~ rline(vd1295)
| ~ ron(sK2_skl,vd1295) ),
inference(resolution,[status(thm)],[f1111,f1049]) ).
fof(f1113,definition,
( sQ28_spl
<=> ron(sK2_skl,vd1295) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1115,plain,
( sQ28_spl
| ~ ron(sK2_skl,vd1295) ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1116,definition,
( sQ29_spl
<=> rline(vd1295) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1118,plain,
( sQ29_spl
| ~ rline(vd1295) ),
inference(component_clause,[status(thm)],[f1116]) ).
fof(f1119,plain,
( ~ sQ25_spl
| ~ sQ29_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1112,f1113,f1116,f1098]) ).
fof(f1120,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1087,f985]) ).
fof(f1121,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f1120]) ).
fof(f1122,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1090,f1040]) ).
fof(f1123,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f1122]) ).
fof(f1124,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1093,f1038]) ).
fof(f1125,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f1124]) ).
fof(f1126,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1118,f198]) ).
fof(f1127,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f1126]) ).
fof(f1128,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1115,f1050]) ).
fof(f1129,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f1128]) ).
fof(f1130,plain,
( ~ sQ24_spl
| ~ rline(vd1297)
| ~ ron(sK0_skl,vd1297) ),
inference(resolution,[status(thm)],[f1096,f187]) ).
fof(f1131,definition,
( sQ30_spl
<=> ron(sK0_skl,vd1297) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( sQ30_spl
| ~ ron(sK0_skl,vd1297) ),
inference(component_clause,[status(thm)],[f1131]) ).
fof(f1134,definition,
( sQ31_spl
<=> rline(vd1297) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
( sQ31_spl
| ~ rline(vd1297) ),
inference(component_clause,[status(thm)],[f1134]) ).
fof(f1137,plain,
( ~ sQ24_spl
| ~ sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1130,f1131,f1134,f1095]) ).
fof(f1138,plain,
( sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1136,f195]) ).
fof(f1139,plain,
sQ31_spl,
inference(contradiction_clause,[status(thm)],[f1138]) ).
fof(f1140,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1133,f1047]) ).
fof(f1141,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1140]) ).
fof(f1143,plain,
( ~ sQ20_spl
| ~ rpoint(sK2_skl)
| ~ rpoint(sK1_skl) ),
inference(resolution,[status(thm)],[f1084,f746]) ).
fof(f1147,plain,
( ~ sQ20_spl
| ~ sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1143,f1009,f1012,f1083]) ).
fof(f1156,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1081,f1044]) ).
fof(f1157,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f1156]) ).
fof(f1158,plain,
$false,
inference(sat_refutation,[status(thm)],[f1027,f1029,f1033,f1104,f1110,f1119,f1121,f1123,f1125,f1127,f1129,f1137,f1139,f1141,f1147,f1157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO307+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 15:19:12 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.47 % Elapsed time: 0.093512 seconds
% 0.13/0.47 % CPU time: 0.265742 seconds
% 0.13/0.47 % Total memory used: 122.605 MB
% 0.13/0.47 % Net memory used: 122.114 MB
%------------------------------------------------------------------------------