%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO343+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 : n015.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 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 62 ( 21 unt; 8 def)
% Number of atoms : 232 ( 65 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 281 ( 111 ~; 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 : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 54 ( 46 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [Vdthex] :
( ( rline(Vdthex)
& ron(vd1401,Vdthex)
& ron(vd1399,Vdthex) )
=> Vdthex = vd1416 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [Vdthex] :
( ( rline(Vdthex)
& ron(vd1401,Vdthex)
& ron(vd1399,Vdthex) )
=> Vdthex = vd1416 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( rline(vd1416)
& ron(vd1401,vd1416)
& ron(vd1399,vd1416) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,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(f50,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(f127,plain,
? [Vdthex] :
( Vdthex != vd1416
& rline(Vdthex)
& ron(vd1401,Vdthex)
& ron(vd1399,Vdthex) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f128,plain,
( sK0_skl != vd1416
& rline(sK0_skl)
& ron(vd1401,sK0_skl)
& ron(vd1399,sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vdthex,sK0_skl)],[f127]) ).
fof(f129,plain,
ron(vd1399,sK0_skl),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f130,plain,
ron(vd1401,sK0_skl),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f131,plain,
rline(sK0_skl),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f132,plain,
sK0_skl != vd1416,
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f133,plain,
ron(vd1399,vd1416),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f134,plain,
ron(vd1401,vd1416),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f135,plain,
rline(vd1416),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f137,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)],[f5]) ).
fof(f143,plain,
vd1399 != vd1401,
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f145,plain,
vd1401 = sK1_skl,
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f146,plain,
rpoint(sK1_skl),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f149,plain,
vd1399 = sK3_skl,
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f150,plain,
rpoint(sK3_skl),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f300,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)],[f50]) ).
fof(f301,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)],[f300]) ).
fof(f302,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)],[f301]) ).
fof(f785,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)],[f302]) ).
fof(f954,plain,
rpoint(vd1401),
inference(forward_demodulation,[status(thm)],[f145,f146]) ).
fof(f955,plain,
! [X0,X1,X2] :
( X2 = X1
| ~ rpoint(X0)
| vd1401 = X0
| ~ rline(X2)
| ~ rline(X1)
| ~ ron(vd1401,X2)
| ~ ron(vd1401,X1)
| ~ ron(X0,X2)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f954,f785]) ).
fof(f958,plain,
rpoint(vd1399),
inference(forward_demodulation,[status(thm)],[f149,f150]) ).
fof(f964,plain,
! [X0,X1] :
( sK0_skl = X1
| ~ rpoint(X0)
| vd1401 = X0
| ~ rline(sK0_skl)
| ~ rline(X1)
| ~ ron(vd1401,X1)
| ~ ron(X0,sK0_skl)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f955,f130]) ).
fof(f969,definition,
( sQ9_spl
<=> rline(vd1416) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( sQ9_spl
| ~ rline(vd1416) ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f973,definition,
! [X0,X1] :
( sQ10_spl
<=> ( sK0_skl = X1
| ~ rpoint(X0)
| vd1401 = X0
| ~ rline(X1)
| ~ ron(vd1401,X1)
| ~ ron(X0,sK0_skl)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f974,plain,
! [X0,X1] :
( ~ sQ10_spl
| sK0_skl = X1
| ~ rpoint(X0)
| vd1401 = X0
| ~ rline(X1)
| ~ ron(vd1401,X1)
| ~ ron(X0,sK0_skl)
| ~ ron(X0,X1) ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,definition,
( sQ11_spl
<=> rline(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f978,plain,
( sQ11_spl
| ~ rline(sK0_skl) ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f979,plain,
( ~ sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f964,f973,f976]) ).
fof(f988,plain,
! [X0] :
( ~ sQ10_spl
| sK0_skl = X0
| ~ rpoint(vd1399)
| vd1401 = vd1399
| ~ rline(X0)
| ~ ron(vd1401,X0)
| ~ ron(vd1399,X0) ),
inference(resolution,[status(thm)],[f974,f129]) ).
fof(f996,definition,
! [X0] :
( sQ16_spl
<=> ( sK0_skl = X0
| ~ rline(X0)
| ~ ron(vd1401,X0)
| ~ ron(vd1399,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f997,plain,
! [X0] :
( ~ sQ16_spl
| sK0_skl = X0
| ~ rline(X0)
| ~ ron(vd1401,X0)
| ~ ron(vd1399,X0) ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,definition,
( sQ17_spl
<=> vd1401 = vd1399 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1000,plain,
( ~ sQ17_spl
| vd1401 = vd1399 ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,definition,
( sQ18_spl
<=> rpoint(vd1399) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1004,plain,
( sQ18_spl
| ~ rpoint(vd1399) ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f988,f996,f999,f1002,f973]) ).
fof(f1008,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1004,f958]) ).
fof(f1009,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f1008]) ).
fof(f1014,definition,
( sQ19_spl
<=> sK0_skl = vd1416 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
( ~ sQ19_spl
| sK0_skl = vd1416 ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1026,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f978,f131]) ).
fof(f1027,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1026]) ).
fof(f1028,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f971,f135]) ).
fof(f1029,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f1028]) ).
fof(f1030,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1015,f132]) ).
fof(f1031,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f1030]) ).
fof(f1032,plain,
( ~ sQ16_spl
| sK0_skl = vd1416
| ~ rline(vd1416)
| ~ ron(vd1399,vd1416) ),
inference(resolution,[status(thm)],[f997,f134]) ).
fof(f1035,definition,
( sQ22_spl
<=> ron(vd1399,vd1416) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
( sQ22_spl
| ~ ron(vd1399,vd1416) ),
inference(component_clause,[status(thm)],[f1035]) ).
fof(f1038,plain,
( ~ sQ16_spl
| sQ19_spl
| ~ sQ9_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1032,f1035,f969,f1014,f996]) ).
fof(f1047,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1037,f133]) ).
fof(f1048,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f1047]) ).
fof(f1049,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1000,f143]) ).
fof(f1050,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f1049]) ).
fof(f1051,plain,
$false,
inference(sat_refutation,[status(thm)],[f979,f1005,f1009,f1027,f1029,f1031,f1038,f1048,f1050]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO343+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.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 15:37:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.44 % Elapsed time: 0.076468 seconds
% 0.13/0.44 % CPU time: 0.211736 seconds
% 0.13/0.44 % Total memory used: 110.272 MB
% 0.13/0.44 % Net memory used: 109.914 MB
%------------------------------------------------------------------------------