%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO305+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 : n005.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 0.14s 0.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 21 unt; 0 def)
% Number of atoms : 128 ( 34 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 166 ( 73 ~; 61 |; 31 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 42 ( 36 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
ron(vd1302,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ron(vd1302,vd1297),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
( rR(vd1288,vd1287,vd1299)
& rpoint(vd1303)
& rR(vd1289,vd1287,vd1302)
& vd1302 = vd1303 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
rline(vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,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(f14,axiom,
! [Vd352,Vd353,Vd354,Vd359,Vd360] :
( ( ? [Vd356] :
( rpoint(Vd356)
& Vd352 = Vd356 )
& ? [Vd357] :
( rpoint(Vd357)
& Vd353 = Vd357 )
& ? [Vd358] :
( rpoint(Vd358)
& Vd354 = Vd358 )
& rline(Vd360)
& rR(Vd353,Vd352,Vd354)
& ron(Vd352,Vd359)
& ron(Vd353,Vd359)
& Vd359 = Vd360 )
=> ron(Vd354,Vd359) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f127,plain,
~ ron(vd1302,vd1297),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f130,plain,
vd1302 = vd1303,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f131,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f132,plain,
rpoint(vd1303),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f135,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f136,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f137,plain,
rline(vd1297),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f141,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)],[f13]) ).
fof(f146,plain,
vd1289 = sK0_skl,
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f147,plain,
rpoint(sK0_skl),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f150,plain,
vd1287 = sK2_skl,
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f151,plain,
rpoint(sK2_skl),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f152,plain,
! [Vd352,Vd353,Vd354,Vd359,Vd360] :
( ron(Vd354,Vd359)
| ! [Vd356] :
( ~ rpoint(Vd356)
| Vd352 != Vd356 )
| ! [Vd357] :
( ~ rpoint(Vd357)
| Vd353 != Vd357 )
| ! [Vd358] :
( ~ rpoint(Vd358)
| Vd354 != Vd358 )
| ~ rline(Vd360)
| ~ rR(Vd353,Vd352,Vd354)
| ~ ron(Vd352,Vd359)
| ~ ron(Vd353,Vd359)
| Vd359 != Vd360 ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f153,plain,
! [Vd354,Vd359] :
( ron(Vd354,Vd359)
| ! [Vd352] :
( ! [Vd356] :
( ~ rpoint(Vd356)
| Vd352 != Vd356 )
| ! [Vd353] :
( ! [Vd357] :
( ~ rpoint(Vd357)
| Vd353 != Vd357 )
| ! [Vd358] :
( ~ rpoint(Vd358)
| Vd354 != Vd358 )
| ! [Vd360] :
( ~ rline(Vd360)
| ~ rR(Vd353,Vd352,Vd354)
| ~ ron(Vd352,Vd359)
| ~ ron(Vd353,Vd359)
| Vd359 != Vd360 ) ) ) ),
inference(miniscoping,[status(thm)],[f152]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ron(X4,X0)
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X1)
| ~ rR(X2,X3,X4)
| ~ ron(X3,X0)
| ~ ron(X2,X0)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f672,plain,
! [X0,X1,X2,X3] :
( ron(X3,X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rline(X1)
| ~ rR(X0,X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f154]) ).
fof(f907,plain,
rpoint(vd1302),
inference(forward_demodulation,[status(thm)],[f130,f132]) ).
fof(f909,plain,
rpoint(vd1289),
inference(forward_demodulation,[status(thm)],[f146,f147]) ).
fof(f911,plain,
rpoint(vd1287),
inference(forward_demodulation,[status(thm)],[f150,f151]) ).
fof(f914,plain,
! [X0] :
( ron(vd1302,X0)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1302)
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1289,X0) ),
inference(resolution,[status(thm)],[f672,f131]) ).
fof(f916,plain,
! [X0] :
( ron(vd1302,X0)
| ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1289,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f914,f907]) ).
fof(f917,plain,
! [X0] :
( ron(vd1302,X0)
| ~ rpoint(vd1287)
| ~ rline(X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1289,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f916,f909]) ).
fof(f918,plain,
( ~ rpoint(vd1287)
| ~ rline(vd1297)
| ~ ron(vd1287,vd1297)
| ~ ron(vd1289,vd1297) ),
inference(resolution,[status(thm)],[f917,f127]) ).
fof(f919,plain,
( ~ rpoint(vd1287)
| ~ rline(vd1297)
| ~ ron(vd1287,vd1297) ),
inference(forward_subsumption_resolution,[status(thm)],[f918,f135]) ).
fof(f920,plain,
( ~ rpoint(vd1287)
| ~ rline(vd1297) ),
inference(forward_subsumption_resolution,[status(thm)],[f919,f136]) ).
fof(f921,plain,
~ rpoint(vd1287),
inference(resolution,[status(thm)],[f920,f137]) ).
fof(f922,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f921,f911]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO305+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 15:21:48 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 0.14/0.43 % Refutation found
% 0.14/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.46 % Elapsed time: 0.088602 seconds
% 0.14/0.46 % CPU time: 0.248449 seconds
% 0.14/0.46 % Total memory used: 121.472 MB
% 0.14/0.46 % Net memory used: 121.065 MB
%------------------------------------------------------------------------------