%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO274+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 : n012.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 12:24:48 PM UTC 2026
% Result : Theorem 0.12s 0.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 25 unt; 0 def)
% Number of atoms : 210 ( 88 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 269 ( 116 ~; 117 |; 30 &)
% ( 2 <=>; 4 =>; 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 : 73 ( 65 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [Vdthex] :
( ( rline(Vdthex)
& ron(vd1080,Vdthex)
& ron(vd1089,Vdthex) )
=> Vdthex = vd1092 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [Vdthex] :
( ( rline(Vdthex)
& ron(vd1080,Vdthex)
& ron(vd1089,Vdthex) )
=> Vdthex = vd1092 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( rline(vd1092)
& ron(vd1080,vd1092)
& ron(vd1089,vd1092) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
rpoint(vd1089),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
vd1085 = vd1086,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
vd1085 != vd1080,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
rpoint(vd1086),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
? [Vd1083] :
( rpoint(Vd1083)
& vd1080 = Vd1083 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,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(f67,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(f119,plain,
? [Vdthex] :
( Vdthex != vd1092
& rline(Vdthex)
& ron(vd1080,Vdthex)
& ron(vd1089,Vdthex) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f120,plain,
( sK0_skl != vd1092
& rline(sK0_skl)
& ron(vd1080,sK0_skl)
& ron(vd1089,sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vdthex,sK0_skl)],[f119]) ).
fof(f121,plain,
ron(vd1089,sK0_skl),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f122,plain,
ron(vd1080,sK0_skl),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f123,plain,
rline(sK0_skl),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f124,plain,
sK0_skl != vd1092,
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f125,plain,
ron(vd1089,vd1092),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
ron(vd1080,vd1092),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f127,plain,
rline(vd1092),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f128,plain,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
rpoint(vd1089),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f131,plain,
vd1085 = vd1086,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f132,plain,
vd1085 != vd1080,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f133,plain,
rpoint(vd1086),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f134,plain,
( rpoint(sK1_skl)
& vd1080 = sK1_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Vd1083,sK1_skl)],[f10]) ).
fof(f135,plain,
vd1080 = sK1_skl,
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
rpoint(sK1_skl),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f139,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)],[f12]) ).
fof(f140,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)],[f139]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( X2 = X0
| vf(X2,X0) != v0
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( X2 != X0
| vf(X2,X0) = v0
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f321,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)],[f67]) ).
fof(f322,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)],[f321]) ).
fof(f323,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)],[f322]) ).
fof(f634,plain,
! [X0,X1] :
( X1 = X0
| vf(X1,X0) != v0
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f141]) ).
fof(f635,plain,
! [X1] :
( vf(X1,X1) = v0
| ~ rpoint(X1)
| ~ rpoint(X1) ),
inference(destructive_equality_resolution,[status(thm)],[f142]) ).
fof(f636,plain,
! [X0] :
( vf(X0,X0) = v0
| ~ rpoint(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f635]) ).
fof(f704,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)],[f323]) ).
fof(f856,plain,
! [X0,X1] :
( vd1092 = X0
| ~ rpoint(X1)
| ~ rpoint(vd1089)
| X1 = vd1089
| ~ rline(vd1092)
| ~ rline(X0)
| ~ ron(X1,vd1092)
| ~ ron(X1,X0)
| ~ ron(vd1089,X0) ),
inference(resolution,[status(thm)],[f704,f125]) ).
fof(f874,plain,
! [X0,X1] :
( vd1092 = X0
| ~ rpoint(X1)
| ~ rpoint(vd1089)
| X1 = vd1089
| ~ rline(X0)
| ~ ron(X1,vd1092)
| ~ ron(X1,X0)
| ~ ron(vd1089,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f856,f127]) ).
fof(f890,plain,
! [X0,X1] :
( vd1092 = X0
| ~ rpoint(X1)
| X1 = vd1089
| ~ rline(X0)
| ~ ron(X1,vd1092)
| ~ ron(X1,X0)
| ~ ron(vd1089,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f874,f130]) ).
fof(f892,plain,
! [X0] :
( vd1092 = sK0_skl
| ~ rpoint(X0)
| X0 = vd1089
| ~ rline(sK0_skl)
| ~ ron(X0,vd1092)
| ~ ron(X0,sK0_skl) ),
inference(resolution,[status(thm)],[f890,f121]) ).
fof(f893,plain,
! [X0] :
( vd1092 = sK0_skl
| ~ rpoint(X0)
| X0 = vd1089
| ~ ron(X0,vd1092)
| ~ ron(X0,sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f892,f123]) ).
fof(f894,plain,
rpoint(vd1085),
inference(forward_demodulation,[status(thm)],[f131,f133]) ).
fof(f897,plain,
rpoint(vd1080),
inference(forward_demodulation,[status(thm)],[f135,f136]) ).
fof(f903,plain,
! [X0] :
( ~ rpoint(X0)
| X0 = vd1089
| ~ ron(X0,vd1092)
| ~ ron(X0,sK0_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f893,f124]) ).
fof(f904,plain,
( ~ rpoint(vd1080)
| vd1080 = vd1089
| ~ ron(vd1080,vd1092) ),
inference(resolution,[status(thm)],[f903,f122]) ).
fof(f906,plain,
( ~ rpoint(vd1080)
| vd1080 = vd1089 ),
inference(forward_subsumption_resolution,[status(thm)],[f904,f126]) ).
fof(f909,plain,
vf(vd1080,vd1080) = vf(vd1085,vd1080),
inference(backward_demodulation,[status(thm)],[f914,f128]) ).
fof(f914,plain,
vd1080 = vd1089,
inference(forward_subsumption_resolution,[status(thm)],[f906,f897]) ).
fof(f928,plain,
( vd1085 = vd1080
| vf(vd1080,vd1080) != v0
| ~ rpoint(vd1085)
| ~ rpoint(vd1080) ),
inference(paramodulation,[status(thm)],[f909,f634]) ).
fof(f930,plain,
( vd1085 = vd1080
| vf(vd1080,vd1080) != v0
| ~ rpoint(vd1085) ),
inference(forward_subsumption_resolution,[status(thm)],[f928,f897]) ).
fof(f946,plain,
( vd1085 = vd1080
| vf(vd1080,vd1080) != v0 ),
inference(forward_subsumption_resolution,[status(thm)],[f930,f894]) ).
fof(f947,plain,
( ~ rpoint(vd1080)
| vd1085 = vd1080 ),
inference(resolution,[status(thm)],[f946,f636]) ).
fof(f948,plain,
~ rpoint(vd1080),
inference(forward_subsumption_resolution,[status(thm)],[f947,f132]) ).
fof(f949,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f948,f897]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO274+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n012.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 14:59:22 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.44 % Elapsed time: 0.072572 seconds
% 0.12/0.44 % CPU time: 0.175019 seconds
% 0.12/0.44 % Total memory used: 63.884 MB
% 0.12/0.44 % Net memory used: 63.571 MB
%------------------------------------------------------------------------------