%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO344+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 : n002.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 12:24:56 PM UTC 2026
% Result : Theorem 0.14s 0.64s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 62 ( 21 unt; 8 def)
% Number of atoms : 232 ( 65 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 282 ( 112 ~; 111 |; 48 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 54 ( 46 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [Vdthex] :
( ( rline(Vdthex)
& ron(vd1401,Vdthex)
& ron(vd1409,Vdthex) )
=> Vdthex = vd1419 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [Vdthex] :
( ( rline(Vdthex)
& ron(vd1401,Vdthex)
& ron(vd1409,Vdthex) )
=> Vdthex = vd1419 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( rline(vd1419)
& ron(vd1401,vd1419)
& ron(vd1409,vd1419) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
vd1409 != vd1401,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
rpoint(vd1409),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( ? [Vd1403] :
( rpoint(Vd1403)
& vd1399 = Vd1403 )
& ? [Vd1404] :
( rpoint(Vd1404)
& vd1400 = Vd1404 )
& ? [Vd1405] :
( rpoint(Vd1405)
& vd1401 = Vd1405 )
& vd1399 != vd1400
& vd1399 != vd1401
& vd1400 != vd1401
& rline(vd1407)
& ron(vd1399,vd1406)
& ron(vd1400,vd1406)
& vd1406 = vd1407 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [Vd314,Vd315,Vd319,Vd320] :
( ( ? [Vd317] :
( rpoint(Vd317)
& Vd314 = Vd317 )
& ? [Vd318] :
( rpoint(Vd318)
& Vd315 = Vd318 )
& Vd314 != Vd315
& ? [Vd323] :
( rline(Vd323)
& Vd319 = Vd323 )
& ? [Vd324] :
( rline(Vd324)
& Vd320 = Vd324 )
& ron(Vd314,Vd319)
& ron(Vd314,Vd320)
& ron(Vd315,Vd319)
& ron(Vd315,Vd320) )
=> Vd319 = Vd320 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f130,plain,
? [Vdthex] :
( Vdthex != vd1419
& rline(Vdthex)
& ron(vd1401,Vdthex)
& ron(vd1409,Vdthex) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f131,plain,
( sK0_skl != vd1419
& rline(sK0_skl)
& ron(vd1401,sK0_skl)
& ron(vd1409,sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vdthex,sK0_skl)],[f130]) ).
fof(f132,plain,
ron(vd1409,sK0_skl),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
ron(vd1401,sK0_skl),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f134,plain,
rline(sK0_skl),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f135,plain,
sK0_skl != vd1419,
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f136,plain,
ron(vd1409,vd1419),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f137,plain,
ron(vd1401,vd1419),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f138,plain,
rline(vd1419),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f145,plain,
vd1409 != vd1401,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f146,plain,
rpoint(vd1409),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f147,plain,
( rpoint(sK3_skl)
& vd1399 = sK3_skl
& rpoint(sK2_skl)
& vd1400 = sK2_skl
& rpoint(sK1_skl)
& vd1401 = sK1_skl
& vd1399 != vd1400
& vd1399 != vd1401
& vd1400 != vd1401
& rline(vd1407)
& ron(vd1399,vd1406)
& ron(vd1400,vd1406)
& vd1406 = vd1407 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl]),skolemize(Vd1405,sK1_skl),skolemize(Vd1404,sK2_skl),skolemize(Vd1403,sK3_skl)],[f9]) ).
fof(f155,plain,
vd1401 = sK1_skl,
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f156,plain,
rpoint(sK1_skl),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f172,plain,
! [Vd314,Vd315,Vd319,Vd320] :
( Vd319 = Vd320
| ! [Vd317] :
( ~ rpoint(Vd317)
| Vd314 != Vd317 )
| ! [Vd318] :
( ~ rpoint(Vd318)
| Vd315 != Vd318 )
| Vd314 = Vd315
| ! [Vd323] :
( ~ rline(Vd323)
| Vd319 != Vd323 )
| ! [Vd324] :
( ~ rline(Vd324)
| Vd320 != Vd324 )
| ~ ron(Vd314,Vd319)
| ~ ron(Vd314,Vd320)
| ~ ron(Vd315,Vd319)
| ~ ron(Vd315,Vd320) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f173,plain,
! [Vd319,Vd320] :
( Vd319 = Vd320
| ! [Vd314] :
( ! [Vd317] :
( ~ rpoint(Vd317)
| Vd314 != Vd317 )
| ! [Vd315] :
( ! [Vd318] :
( ~ rpoint(Vd318)
| Vd315 != Vd318 )
| Vd314 = Vd315
| ! [Vd323] :
( ~ rline(Vd323)
| Vd319 != Vd323 )
| ! [Vd324] :
( ~ rline(Vd324)
| Vd320 != Vd324 )
| ~ ron(Vd314,Vd319)
| ~ ron(Vd314,Vd320)
| ~ ron(Vd315,Vd319)
| ~ ron(Vd315,Vd320) ) ) ),
inference(miniscoping,[status(thm)],[f172]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( X2 = X1
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X6)
| X0 != X6
| X3 = X0
| ~ rline(X5)
| X2 != X5
| ~ rline(X4)
| X1 != X4
| ~ ron(X3,X2)
| ~ ron(X3,X1)
| ~ ron(X0,X2)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f726,plain,
! [X0,X1,X2,X3] :
( X2 = X1
| ~ rpoint(X3)
| ~ rpoint(X0)
| X3 = X0
| ~ rline(X2)
| ~ rline(X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1)
| ~ ron(X0,X2)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f174]) ).
fof(f958,plain,
! [X0,X1,X2] :
( X2 = X1
| ~ rpoint(X0)
| vd1409 = X0
| ~ rline(X2)
| ~ rline(X1)
| ~ ron(vd1409,X2)
| ~ ron(vd1409,X1)
| ~ ron(X0,X2)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f726,f146]) ).
fof(f973,definition,
( sQ11_spl
<=> rline(vd1419) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f975,plain,
( sQ11_spl
| ~ rline(vd1419) ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f980,definition,
( sQ13_spl
<=> rline(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f982,plain,
( sQ13_spl
| ~ rline(sK0_skl) ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f990,definition,
( sQ15_spl
<=> vd1419 = sK0_skl ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f991,plain,
( ~ sQ15_spl
| vd1419 = sK0_skl ),
inference(component_clause,[status(thm)],[f990]) ).
fof(f994,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f975,f138]) ).
fof(f995,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f996,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f982,f134]) ).
fof(f997,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f996]) ).
fof(f998,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f991,f135]) ).
fof(f999,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f998]) ).
fof(f1005,plain,
rpoint(vd1401),
inference(forward_demodulation,[status(thm)],[f155,f156]) ).
fof(f1018,plain,
! [X0,X1] :
( sK0_skl = X1
| ~ rpoint(X0)
| vd1409 = X0
| ~ rline(sK0_skl)
| ~ rline(X1)
| ~ ron(vd1409,X1)
| ~ ron(X0,sK0_skl)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f958,f132]) ).
fof(f1023,definition,
! [X0,X1] :
( sQ20_spl
<=> ( sK0_skl = X1
| ~ rpoint(X0)
| vd1409 = X0
| ~ rline(X1)
| ~ ron(vd1409,X1)
| ~ ron(X0,sK0_skl)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1024,plain,
! [X0,X1] :
( ~ sQ20_spl
| sK0_skl = X1
| ~ rpoint(X0)
| vd1409 = X0
| ~ rline(X1)
| ~ ron(vd1409,X1)
| ~ ron(X0,sK0_skl)
| ~ ron(X0,X1) ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1026,plain,
( ~ sQ13_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1018,f1023,f980]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ20_spl
| sK0_skl = vd1419
| ~ rpoint(X0)
| vd1409 = X0
| ~ rline(vd1419)
| ~ ron(X0,sK0_skl)
| ~ ron(X0,vd1419) ),
inference(resolution,[status(thm)],[f1024,f136]) ).
fof(f1029,definition,
! [X0] :
( sQ21_spl
<=> ( ~ rpoint(X0)
| vd1409 = X0
| ~ ron(X0,sK0_skl)
| ~ ron(X0,vd1419) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
! [X0] :
( ~ sQ21_spl
| ~ rpoint(X0)
| vd1409 = X0
| ~ ron(X0,sK0_skl)
| ~ ron(X0,vd1419) ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,plain,
( ~ sQ20_spl
| sQ15_spl
| ~ sQ11_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1027,f1029,f973,f990,f1023]) ).
fof(f1041,plain,
( ~ sQ21_spl
| ~ rpoint(vd1401)
| vd1409 = vd1401
| ~ ron(vd1401,vd1419) ),
inference(resolution,[status(thm)],[f1030,f133]) ).
fof(f1043,definition,
( sQ24_spl
<=> ron(vd1401,vd1419) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1045,plain,
( sQ24_spl
| ~ ron(vd1401,vd1419) ),
inference(component_clause,[status(thm)],[f1043]) ).
fof(f1046,definition,
( sQ25_spl
<=> vd1409 = vd1401 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
( ~ sQ25_spl
| vd1409 = vd1401 ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1049,definition,
( sQ26_spl
<=> rpoint(vd1401) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1051,plain,
( sQ26_spl
| ~ rpoint(vd1401) ),
inference(component_clause,[status(thm)],[f1049]) ).
fof(f1052,plain,
( ~ sQ21_spl
| ~ sQ26_spl
| sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1041,f1043,f1046,f1049,f1029]) ).
fof(f1064,plain,
( sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1051,f1005]) ).
fof(f1065,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f1064]) ).
fof(f1066,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1047,f145]) ).
fof(f1067,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f1066]) ).
fof(f1068,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1045,f137]) ).
fof(f1069,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f1068]) ).
fof(f1070,plain,
$false,
inference(sat_refutation,[status(thm)],[f995,f997,f999,f1026,f1032,f1052,f1065,f1067,f1069]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO344+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.58 % Computer : n002.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Sun Sep 20 15:32:47 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.61 % Drodi V4.1.1
% 0.14/0.64 % Refutation found
% 0.14/0.64 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.68 % Elapsed time: 0.094808 seconds
% 0.14/0.68 % CPU time: 0.226813 seconds
% 0.14/0.68 % Total memory used: 121.863 MB
% 0.14/0.68 % Net memory used: 121.458 MB
%------------------------------------------------------------------------------