%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO273+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 12:24:48 PM UTC 2026
% Result : Theorem 0.09s 0.43s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 20 unt; 0 def)
% Number of atoms : 182 ( 113 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 226 ( 89 ~; 105 |; 20 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-8 aty)
% Number of variables : 72 ( 64 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [Vd1078] :
( rpoint(Vd1078)
& vf(vd1069,vd1070) = vf(vd1074,Vd1078) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [Vd1078] :
( rpoint(Vd1078)
& vf(vd1069,vd1070) = vf(vd1074,Vd1078) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vd1074 = vd1075,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
vd1074 != vd1070,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
vd1074 != vd1069,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
rpoint(vd1075),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
vd1069 != vd1070,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
? [Vd1073] :
( rpoint(Vd1073)
& vd1070 = Vd1073 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
? [Vd1072] :
( rpoint(Vd1072)
& vd1069 = Vd1072 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Vd1080,Vd1081] :
( ( ? [Vd1083] :
( rpoint(Vd1083)
& Vd1080 = Vd1083 )
& ? [Vd1084] :
( rpoint(Vd1084)
& Vd1081 = Vd1084 )
& Vd1080 != Vd1081 )
=> ! [Vd1085,Vd1086] :
( ( rpoint(Vd1086)
& Vd1085 != Vd1080
& Vd1085 != Vd1081
& Vd1085 = Vd1086 )
=> ! [Vd1091] :
( Vd1091 = vskolem1092(Vd1085,Vd1086,Vd1080,Vd1081)
=> ! [Vd1094] :
( Vd1094 = vskolem1095(Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)
=> ! [Vd1098] :
( Vd1098 = vskolem1099(Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)
=> ! [Vd1101] :
( Vd1101 = vskolem1102(Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)
=> vf(Vd1080,Vd1081) = vf(Vd1085,vskolem1103(Vd1101,Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [Vd1080,Vd1081] :
( ( ? [Vd1083] :
( rpoint(Vd1083)
& Vd1080 = Vd1083 )
& ? [Vd1084] :
( rpoint(Vd1084)
& Vd1081 = Vd1084 )
& Vd1080 != Vd1081 )
=> ! [Vd1085,Vd1086] :
( ( rpoint(Vd1086)
& Vd1085 != Vd1080
& Vd1085 != Vd1081
& Vd1085 = Vd1086 )
=> ! [Vd1091] :
( Vd1091 = vskolem1092(Vd1085,Vd1086,Vd1080,Vd1081)
=> ! [Vd1094] :
( Vd1094 = vskolem1095(Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)
=> ! [Vd1098] :
( Vd1098 = vskolem1099(Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)
=> ! [Vd1101] :
( Vd1101 = vskolem1102(Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)
=> rpoint(vskolem1103(Vd1101,Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f138,plain,
! [Vd1078] :
( ~ rpoint(Vd1078)
| vf(vd1069,vd1070) != vf(vd1074,Vd1078) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f139,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1069,vd1070) != vf(vd1074,X0) ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f140,plain,
vd1074 = vd1075,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f141,plain,
vd1074 != vd1070,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f142,plain,
vd1074 != vd1069,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f143,plain,
rpoint(vd1075),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f144,plain,
vd1069 != vd1070,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f145,plain,
( rpoint(sK0_skl)
& vd1070 = sK0_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vd1073,sK0_skl)],[f8]) ).
fof(f146,plain,
vd1070 = sK0_skl,
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
rpoint(sK0_skl),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f148,plain,
( rpoint(sK1_skl)
& vd1069 = sK1_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Vd1072,sK1_skl)],[f9]) ).
fof(f149,plain,
vd1069 = sK1_skl,
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
rpoint(sK1_skl),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f151,plain,
! [Vd1080,Vd1081] :
( ! [Vd1085,Vd1086] :
( ! [Vd1091] :
( ! [Vd1094] :
( ! [Vd1098] :
( ! [Vd1101] :
( vf(Vd1080,Vd1081) = vf(Vd1085,vskolem1103(Vd1101,Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081))
| Vd1101 != vskolem1102(Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081) )
| Vd1098 != vskolem1099(Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081) )
| Vd1094 != vskolem1095(Vd1091,Vd1085,Vd1086,Vd1080,Vd1081) )
| Vd1091 != vskolem1092(Vd1085,Vd1086,Vd1080,Vd1081) )
| ~ rpoint(Vd1086)
| Vd1085 = Vd1080
| Vd1085 = Vd1081
| Vd1085 != Vd1086 )
| ! [Vd1083] :
( ~ rpoint(Vd1083)
| Vd1080 != Vd1083 )
| ! [Vd1084] :
( ~ rpoint(Vd1084)
| Vd1081 != Vd1084 )
| Vd1080 = Vd1081 ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( vf(X0,X1) = vf(X4,vskolem1103(X9,X8,X7,X6,X4,X5,X0,X1))
| X9 != vskolem1102(X8,X7,X6,X4,X5,X0,X1)
| X8 != vskolem1099(X7,X6,X4,X5,X0,X1)
| X7 != vskolem1095(X6,X4,X5,X0,X1)
| X6 != vskolem1092(X4,X5,X0,X1)
| ~ rpoint(X5)
| X4 = X0
| X4 = X1
| X4 != X5
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f166,plain,
! [Vd1080,Vd1081] :
( ! [Vd1085,Vd1086] :
( ! [Vd1091] :
( ! [Vd1094] :
( ! [Vd1098] :
( ! [Vd1101] :
( rpoint(vskolem1103(Vd1101,Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081))
| Vd1101 != vskolem1102(Vd1098,Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081) )
| Vd1098 != vskolem1099(Vd1094,Vd1091,Vd1085,Vd1086,Vd1080,Vd1081) )
| Vd1094 != vskolem1095(Vd1091,Vd1085,Vd1086,Vd1080,Vd1081) )
| Vd1091 != vskolem1092(Vd1085,Vd1086,Vd1080,Vd1081) )
| ~ rpoint(Vd1086)
| Vd1085 = Vd1080
| Vd1085 = Vd1081
| Vd1085 != Vd1086 )
| ! [Vd1083] :
( ~ rpoint(Vd1083)
| Vd1080 != Vd1083 )
| ! [Vd1084] :
( ~ rpoint(Vd1084)
| Vd1081 != Vd1084 )
| Vd1080 = Vd1081 ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f167,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( rpoint(vskolem1103(X9,X8,X7,X6,X4,X5,X0,X1))
| X9 != vskolem1102(X8,X7,X6,X4,X5,X0,X1)
| X8 != vskolem1099(X7,X6,X4,X5,X0,X1)
| X7 != vskolem1095(X6,X4,X5,X0,X1)
| X6 != vskolem1092(X4,X5,X0,X1)
| ~ rpoint(X5)
| X4 = X0
| X4 = X1
| X4 != X5
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f697,plain,
! [X0,X1,X2] :
( vf(X0,X1) = vf(X2,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1099(vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1))
| ~ rpoint(X2)
| X2 = X0
| X2 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f152]) ).
fof(f704,plain,
! [X0,X1,X2] :
( rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1099(vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1))
| ~ rpoint(X2)
| X2 = X0
| X2 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f167]) ).
fof(f946,plain,
rpoint(vd1074),
inference(forward_demodulation,[status(thm)],[f140,f143]) ).
fof(f947,plain,
rpoint(vd1070),
inference(forward_demodulation,[status(thm)],[f146,f147]) ).
fof(f948,plain,
rpoint(vd1069),
inference(forward_demodulation,[status(thm)],[f149,f150]) ).
fof(f949,plain,
( ~ rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1099(vskolem1095(vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070))
| ~ rpoint(vd1074)
| vd1074 = vd1069
| vd1074 = vd1070
| ~ rpoint(vd1069)
| ~ rpoint(vd1070)
| vd1069 = vd1070 ),
inference(resolution,[status(thm)],[f697,f139]) ).
fof(f950,plain,
( ~ rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1099(vskolem1095(vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070))
| ~ rpoint(vd1074)
| vd1074 = vd1069
| vd1074 = vd1070
| ~ rpoint(vd1069)
| ~ rpoint(vd1070) ),
inference(forward_subsumption_resolution,[status(thm)],[f949,f144]) ).
fof(f952,plain,
( ~ rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1099(vskolem1095(vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1095(vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070),vskolem1092(vd1074,vd1074,vd1069,vd1070),vd1074,vd1074,vd1069,vd1070))
| ~ rpoint(vd1074)
| vd1074 = vd1069
| vd1074 = vd1070
| ~ rpoint(vd1069) ),
inference(forward_subsumption_resolution,[status(thm)],[f950,f947]) ).
fof(f953,plain,
( ~ rpoint(vd1074)
| vd1074 = vd1069
| vd1074 = vd1070
| ~ rpoint(vd1069)
| ~ rpoint(vd1074)
| vd1074 = vd1069
| vd1074 = vd1070
| ~ rpoint(vd1069)
| ~ rpoint(vd1070)
| vd1069 = vd1070 ),
inference(resolution,[status(thm)],[f704,f952]) ).
fof(f954,plain,
( ~ rpoint(vd1074)
| vd1074 = vd1069
| vd1074 = vd1070
| ~ rpoint(vd1069)
| ~ rpoint(vd1070)
| vd1069 = vd1070 ),
inference(duplicate_literals_removal,[status(thm)],[f953]) ).
fof(f955,plain,
( ~ rpoint(vd1074)
| vd1074 = vd1069
| vd1074 = vd1070
| ~ rpoint(vd1069)
| ~ rpoint(vd1070) ),
inference(forward_subsumption_resolution,[status(thm)],[f954,f144]) ).
fof(f957,plain,
( ~ rpoint(vd1074)
| vd1074 = vd1069
| vd1074 = vd1070
| ~ rpoint(vd1069) ),
inference(forward_subsumption_resolution,[status(thm)],[f955,f947]) ).
fof(f958,plain,
( vd1074 = vd1069
| vd1074 = vd1070
| ~ rpoint(vd1069) ),
inference(resolution,[status(thm)],[f957,f946]) ).
fof(f959,plain,
( vd1074 = vd1069
| vd1074 = vd1070 ),
inference(forward_subsumption_resolution,[status(thm)],[f958,f948]) ).
fof(f963,plain,
vd1069 != vd1069,
inference(backward_demodulation,[status(thm)],[f966,f142]) ).
fof(f966,plain,
vd1074 = vd1069,
inference(forward_subsumption_resolution,[status(thm)],[f959,f141]) ).
fof(f968,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f963]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO273+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 15:06:24 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.40 % Drodi V4.1.1
% 0.09/0.43 % Refutation found
% 0.09/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.46 % Elapsed time: 0.084728 seconds
% 0.09/0.46 % CPU time: 0.245150 seconds
% 0.09/0.46 % Total memory used: 80.351 MB
% 0.09/0.46 % Net memory used: 80.021 MB
%------------------------------------------------------------------------------