%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO277+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 : n026.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 12:24:49 PM UTC 2026
% Result : Theorem 0.25s 0.62s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 66 ( 29 unt; 0 def)
% Number of atoms : 233 ( 101 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 294 ( 127 ~; 127 |; 33 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 87 ( 77 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [Vdthex] :
( ( rline(Vdthex)
& ron(vd1089,Vdthex)
& ron(vd1085,Vdthex) )
=> Vdthex = vd1099 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [Vdthex] :
( ( rline(Vdthex)
& ron(vd1089,Vdthex)
& ron(vd1085,Vdthex) )
=> Vdthex = vd1099 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( rline(vd1099)
& ron(vd1089,vd1099)
& ron(vd1085,vd1099) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
rpoint(vd1089),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
vd1085 = vd1086,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
rpoint(vd1086),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
vf(vd1089,vd1085) = vf(vd1089,vd1080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
vd1085 != vd1080,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
? [Vd1083] :
( rpoint(Vd1083)
& vd1080 = Vd1083 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [Vd761,Vd762] :
( ( ? [Vd764] :
( rpoint(Vd764)
& Vd761 = Vd764 )
& ? [Vd765] :
( rpoint(Vd765)
& Vd762 = Vd765 ) )
=> vf(Vd761,Vd762) = vf(Vd762,Vd761) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [Vd748,Vd749] :
( ( ? [Vd751] :
( rpoint(Vd751)
& Vd748 = Vd751 )
& ? [Vd752] :
( rpoint(Vd752)
& Vd749 = Vd752 ) )
=> ( vf(Vd748,Vd749) = v0
<=> Vd748 = Vd749 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,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(f129,plain,
? [Vdthex] :
( Vdthex != vd1099
& rline(Vdthex)
& ron(vd1089,Vdthex)
& ron(vd1085,Vdthex) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f130,plain,
( sK0_skl != vd1099
& rline(sK0_skl)
& ron(vd1089,sK0_skl)
& ron(vd1085,sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vdthex,sK0_skl)],[f129]) ).
fof(f131,plain,
ron(vd1085,sK0_skl),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f132,plain,
ron(vd1089,sK0_skl),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f133,plain,
rline(sK0_skl),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f134,plain,
sK0_skl != vd1099,
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f135,plain,
ron(vd1085,vd1099),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f136,plain,
ron(vd1089,vd1099),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f137,plain,
rline(vd1099),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f145,plain,
rpoint(vd1089),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f146,plain,
vd1085 = vd1086,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f147,plain,
rpoint(vd1086),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f154,plain,
vf(vd1089,vd1085) = vf(vd1089,vd1080),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f156,plain,
vd1085 != vd1080,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f170,plain,
( rpoint(sK3_skl)
& vd1080 = sK3_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Vd1083,sK3_skl)],[f24]) ).
fof(f171,plain,
vd1080 = sK3_skl,
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
rpoint(sK3_skl),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f179,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)],[f28]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( vf(X2,X0) = vf(X0,X2)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f219,plain,
! [Vd748,Vd749] :
( ( vf(Vd748,Vd749) = v0
<=> Vd748 = Vd749 )
| ! [Vd751] :
( ~ rpoint(Vd751)
| Vd748 != Vd751 )
| ! [Vd752] :
( ~ rpoint(Vd752)
| Vd749 != Vd752 ) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f220,plain,
! [Vd748,Vd749] :
( ( ( Vd748 != Vd749
| vf(Vd748,Vd749) = v0 )
& ( Vd748 = Vd749
| vf(Vd748,Vd749) != v0 ) )
| ! [Vd751] :
( ~ rpoint(Vd751)
| Vd748 != Vd751 )
| ! [Vd752] :
( ~ rpoint(Vd752)
| Vd749 != Vd752 ) ),
inference(NNF_transformation,[status(thm)],[f219]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
( X2 = X0
| vf(X2,X0) != v0
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( X2 != X0
| vf(X2,X0) = v0
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f226,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)],[f38]) ).
fof(f227,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)],[f226]) ).
fof(f228,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)],[f227]) ).
fof(f665,plain,
! [X0,X1] :
( vf(X1,X0) = vf(X0,X1)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f180]) ).
fof(f687,plain,
! [X0,X1] :
( X1 = X0
| vf(X1,X0) != v0
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f221]) ).
fof(f688,plain,
! [X1] :
( vf(X1,X1) = v0
| ~ rpoint(X1)
| ~ rpoint(X1) ),
inference(destructive_equality_resolution,[status(thm)],[f222]) ).
fof(f689,plain,
! [X0] :
( vf(X0,X0) = v0
| ~ rpoint(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f688]) ).
fof(f691,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)],[f228]) ).
fof(f880,plain,
! [X0,X1] :
( sK0_skl = X0
| ~ rpoint(X1)
| ~ rpoint(vd1089)
| X1 = vd1089
| ~ rline(sK0_skl)
| ~ rline(X0)
| ~ ron(X1,sK0_skl)
| ~ ron(X1,X0)
| ~ ron(vd1089,X0) ),
inference(resolution,[status(thm)],[f691,f132]) ).
fof(f899,plain,
! [X0,X1] :
( sK0_skl = X0
| ~ rpoint(X1)
| ~ rpoint(vd1089)
| X1 = vd1089
| ~ rline(X0)
| ~ ron(X1,sK0_skl)
| ~ ron(X1,X0)
| ~ ron(vd1089,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f880,f133]) ).
fof(f910,plain,
rpoint(vd1085),
inference(forward_demodulation,[status(thm)],[f146,f147]) ).
fof(f931,plain,
! [X0,X1] :
( sK0_skl = X0
| ~ rpoint(X1)
| X1 = vd1089
| ~ rline(X0)
| ~ ron(X1,sK0_skl)
| ~ ron(X1,X0)
| ~ ron(vd1089,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f899,f145]) ).
fof(f932,plain,
! [X0] :
( sK0_skl = vd1099
| ~ rpoint(X0)
| X0 = vd1089
| ~ rline(vd1099)
| ~ ron(X0,sK0_skl)
| ~ ron(X0,vd1099) ),
inference(resolution,[status(thm)],[f931,f136]) ).
fof(f934,plain,
! [X0] :
( sK0_skl = vd1099
| ~ rpoint(X0)
| X0 = vd1089
| ~ ron(X0,sK0_skl)
| ~ ron(X0,vd1099) ),
inference(forward_subsumption_resolution,[status(thm)],[f932,f137]) ).
fof(f935,plain,
! [X0] :
( ~ rpoint(X0)
| X0 = vd1089
| ~ ron(X0,sK0_skl)
| ~ ron(X0,vd1099) ),
inference(forward_subsumption_resolution,[status(thm)],[f934,f134]) ).
fof(f937,plain,
( ~ rpoint(vd1085)
| vd1085 = vd1089
| ~ ron(vd1085,vd1099) ),
inference(resolution,[status(thm)],[f935,f131]) ).
fof(f938,plain,
( ~ rpoint(vd1085)
| vd1085 = vd1089 ),
inference(forward_subsumption_resolution,[status(thm)],[f937,f135]) ).
fof(f942,plain,
vf(vd1089,vd1089) = vf(vd1089,vd1080),
inference(backward_demodulation,[status(thm)],[f947,f154]) ).
fof(f945,plain,
vd1089 != vd1080,
inference(backward_demodulation,[status(thm)],[f947,f156]) ).
fof(f947,plain,
vd1085 = vd1089,
inference(forward_subsumption_resolution,[status(thm)],[f938,f910]) ).
fof(f958,plain,
rpoint(vd1080),
inference(forward_demodulation,[status(thm)],[f171,f172]) ).
fof(f1130,plain,
( vf(vd1089,vd1080) = v0
| ~ rpoint(vd1089) ),
inference(paramodulation,[status(thm)],[f942,f689]) ).
fof(f1131,plain,
vf(vd1089,vd1080) = v0,
inference(forward_subsumption_resolution,[status(thm)],[f1130,f145]) ).
fof(f1133,plain,
( vf(vd1080,vd1089) = v0
| ~ rpoint(vd1080)
| ~ rpoint(vd1089) ),
inference(paramodulation,[status(thm)],[f1131,f665]) ).
fof(f1135,plain,
( vf(vd1080,vd1089) = v0
| ~ rpoint(vd1080) ),
inference(forward_subsumption_resolution,[status(thm)],[f1133,f145]) ).
fof(f1140,plain,
vf(vd1080,vd1089) = v0,
inference(forward_subsumption_resolution,[status(thm)],[f1135,f958]) ).
fof(f1394,plain,
( vd1080 = vd1089
| ~ rpoint(vd1080)
| ~ rpoint(vd1089) ),
inference(resolution,[status(thm)],[f687,f1140]) ).
fof(f1401,plain,
( vd1080 = vd1089
| ~ rpoint(vd1080) ),
inference(forward_subsumption_resolution,[status(thm)],[f1394,f145]) ).
fof(f1434,plain,
vd1080 != vd1080,
inference(backward_demodulation,[status(thm)],[f1444,f945]) ).
fof(f1444,plain,
vd1080 = vd1089,
inference(forward_subsumption_resolution,[status(thm)],[f1401,f958]) ).
fof(f1491,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO277+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n026.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 20 15:05:21 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.48 % Drodi V4.1.1
% 0.25/0.62 % Refutation found
% 0.25/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.25/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.66 % Elapsed time: 0.205455 seconds
% 0.25/0.66 % CPU time: 1.045286 seconds
% 0.25/0.66 % Total memory used: 122.261 MB
% 0.25/0.66 % Net memory used: 121.117 MB
%------------------------------------------------------------------------------