TSTP Solution File: GEO300+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO300+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:08:43 EDT 2023
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 65 ( 19 unt; 0 def)
% Number of atoms : 212 ( 92 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 230 ( 83 ~; 69 |; 68 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-3 aty)
% Number of variables : 55 (; 36 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vf(vd1185,vd1201) = vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rR(vd1187,vd1185,vd1201),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Vd828,Vd829,Vd830] :
( ( rR(Vd829,Vd828,Vd830)
& ? [Vd834] :
( Vd830 = Vd834
& rpoint(Vd834) )
& ? [Vd833] :
( Vd829 = Vd833
& rpoint(Vd833) )
& ? [Vd832] :
( Vd828 = Vd832
& rpoint(Vd832) ) )
=> vplus(vf(Vd828,Vd829),vf(Vd829,Vd830)) = vf(Vd828,Vd830) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
? [Vd1205] :
( vd1201 = Vd1205
& rpoint(Vd1205) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( ~ ? [Vd1195] :
( ron(vd1187,Vd1195)
& ron(vd1186,Vd1195)
& ron(vd1185,Vd1195)
& rline(Vd1195) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [Vd1191] :
( vd1187 = Vd1191
& rpoint(Vd1191) )
& ? [Vd1190] :
( vd1186 = Vd1190
& rpoint(Vd1190) )
& ? [Vd1189] :
( vd1185 = Vd1189
& rpoint(Vd1189) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [Vd1184] :
( vd1180 = Vd1184
& rpoint(Vd1184) )
& ? [Vd1183] :
( vd1179 = Vd1183
& rpoint(Vd1183) )
& ? [Vd1182] :
( vd1178 = Vd1182
& rpoint(Vd1182) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
vf(vd1199,vd1201) = vf(vd1185,vd1187),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
( vd1199 != vd1185
=> ( rR(vd1185,vd1199,vd1186)
| rR(vd1199,vd1185,vd1186) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
( vd1199 != vd1185
=> ~ rR(vd1185,vd1199,vd1186) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
( vd1199 != vd1185
=> ~ rR(vd1199,vd1185,vd1186) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,axiom,
! [Vd761,Vd762] :
( ( ? [Vd765] :
( Vd762 = Vd765
& rpoint(Vd765) )
& ? [Vd764] :
( Vd761 = Vd764
& rpoint(Vd764) ) )
=> vf(Vd761,Vd762) = vf(Vd762,Vd761) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f163,plain,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f164,plain,
rR(vd1187,vd1185,vd1201),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f167,plain,
! [Vd828,Vd829,Vd830] :
( ~ rR(Vd829,Vd828,Vd830)
| ! [Vd834] :
( Vd830 != Vd834
| ~ rpoint(Vd834) )
| ! [Vd833] :
( Vd829 != Vd833
| ~ rpoint(Vd833) )
| ! [Vd832] :
( Vd828 != Vd832
| ~ rpoint(Vd832) )
| vplus(vf(Vd828,Vd829),vf(Vd829,Vd830)) = vf(Vd828,Vd830) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f168,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ rR(X0,X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5)
| vplus(vf(X1,X0),vf(X0,X2)) = vf(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f167]) ).
fof(f170,plain,
( vd1201 = sk0_0
& rpoint(sk0_0) ),
inference(skolemization,[status(esa)],[f8]) ).
fof(f171,plain,
vd1201 = sk0_0,
inference(cnf_transformation,[status(esa)],[f170]) ).
fof(f172,plain,
rpoint(sk0_0),
inference(cnf_transformation,[status(esa)],[f170]) ).
fof(f173,plain,
( ! [Vd1195] :
( ~ ron(vd1187,Vd1195)
| ~ ron(vd1186,Vd1195)
| ~ ron(vd1185,Vd1195)
| ~ rline(Vd1195) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [Vd1191] :
( vd1187 = Vd1191
& rpoint(Vd1191) )
& ? [Vd1190] :
( vd1186 = Vd1190
& rpoint(Vd1190) )
& ? [Vd1189] :
( vd1185 = Vd1189
& rpoint(Vd1189) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [Vd1184] :
( vd1180 = Vd1184
& rpoint(Vd1184) )
& ? [Vd1183] :
( vd1179 = Vd1183
& rpoint(Vd1183) )
& ? [Vd1182] :
( vd1178 = Vd1182
& rpoint(Vd1182) ) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f174,plain,
( ! [Vd1195] :
( ~ ron(vd1187,Vd1195)
| ~ ron(vd1186,Vd1195)
| ~ ron(vd1185,Vd1195)
| ~ rline(Vd1195) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = sk0_1
& rpoint(sk0_1)
& vd1186 = sk0_2
& rpoint(sk0_2)
& vd1185 = sk0_3
& rpoint(sk0_3)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = sk0_4
& rpoint(sk0_4)
& vd1179 = sk0_5
& rpoint(sk0_5)
& vd1178 = sk0_6
& rpoint(sk0_6) ),
inference(skolemization,[status(esa)],[f173]) ).
fof(f179,plain,
vd1187 = sk0_1,
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f180,plain,
rpoint(sk0_1),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f183,plain,
vd1185 = sk0_3,
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f184,plain,
rpoint(sk0_3),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f237,plain,
vf(vd1199,vd1201) = vf(vd1185,vd1187),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f239,plain,
( vd1199 = vd1185
| rR(vd1185,vd1199,vd1186)
| rR(vd1199,vd1185,vd1186) ),
inference(pre_NNF_transformation,[status(esa)],[f32]) ).
fof(f240,plain,
( vd1199 = vd1185
| rR(vd1185,vd1199,vd1186)
| rR(vd1199,vd1185,vd1186) ),
inference(cnf_transformation,[status(esa)],[f239]) ).
fof(f241,plain,
( vd1199 = vd1185
| ~ rR(vd1185,vd1199,vd1186) ),
inference(pre_NNF_transformation,[status(esa)],[f33]) ).
fof(f242,plain,
( vd1199 = vd1185
| ~ rR(vd1185,vd1199,vd1186) ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f243,plain,
( vd1199 = vd1185
| ~ rR(vd1199,vd1185,vd1186) ),
inference(pre_NNF_transformation,[status(esa)],[f34]) ).
fof(f244,plain,
( vd1199 = vd1185
| ~ rR(vd1199,vd1185,vd1186) ),
inference(cnf_transformation,[status(esa)],[f243]) ).
fof(f323,plain,
! [Vd761,Vd762] :
( ! [Vd765] :
( Vd762 != Vd765
| ~ rpoint(Vd765) )
| ! [Vd764] :
( Vd761 != Vd764
| ~ rpoint(Vd764) )
| vf(Vd761,Vd762) = vf(Vd762,Vd761) ),
inference(pre_NNF_transformation,[status(esa)],[f69]) ).
fof(f324,plain,
! [X0,X1,X2,X3] :
( X0 != X1
| ~ rpoint(X1)
| X2 != X3
| ~ rpoint(X3)
| vf(X2,X0) = vf(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f746,plain,
( spl0_2
<=> vd1199 = vd1185 ),
introduced(split_symbol_definition) ).
fof(f747,plain,
( vd1199 = vd1185
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( spl0_3
<=> rR(vd1185,vd1199,vd1186) ),
introduced(split_symbol_definition) ).
fof(f752,plain,
( spl0_4
<=> rR(vd1199,vd1185,vd1186) ),
introduced(split_symbol_definition) ).
fof(f755,plain,
( spl0_2
| spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f240,f746,f749,f752]) ).
fof(f756,plain,
( spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f242,f746,f749]) ).
fof(f757,plain,
( spl0_2
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f244,f746,f752]) ).
fof(f800,plain,
! [X0,X1,X2] :
( ~ rR(X0,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| vplus(vf(X1,X0),vf(X0,X2)) = vf(X1,X2) ),
inference(destructive_equality_resolution,[status(esa)],[f168]) ).
fof(f840,plain,
! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vf(X1,X0) = vf(X0,X1) ),
inference(destructive_equality_resolution,[status(esa)],[f324]) ).
fof(f1019,plain,
rpoint(vd1201),
inference(forward_demodulation,[status(thm)],[f171,f172]) ).
fof(f1020,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1201,X0) = vf(X0,vd1201) ),
inference(resolution,[status(thm)],[f1019,f840]) ).
fof(f1021,plain,
! [X0,X1] :
( ~ rR(X0,X1,vd1201)
| ~ rpoint(X0)
| ~ rpoint(X1)
| vplus(vf(X1,X0),vf(X0,vd1201)) = vf(X1,vd1201) ),
inference(resolution,[status(thm)],[f1019,f800]) ).
fof(f1023,plain,
rpoint(vd1187),
inference(forward_demodulation,[status(thm)],[f179,f180]) ).
fof(f1025,plain,
vf(vd1201,vd1187) = vf(vd1187,vd1201),
inference(resolution,[status(thm)],[f1023,f1020]) ).
fof(f1033,plain,
rpoint(vd1185),
inference(forward_demodulation,[status(thm)],[f183,f184]) ).
fof(f1034,plain,
! [X0] :
( ~ rR(X0,vd1185,vd1201)
| ~ rpoint(X0)
| vplus(vf(vd1185,X0),vf(X0,vd1201)) = vf(vd1185,vd1201) ),
inference(resolution,[status(thm)],[f1033,f1021]) ).
fof(f1086,plain,
( vf(vd1185,vd1201) = vf(vd1185,vd1187)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f747,f237]) ).
fof(f1088,plain,
( vf(vd1185,vd1201) != vplus(vf(vd1185,vd1201),vf(vd1187,vd1201))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f1086,f163]) ).
fof(f1089,plain,
( vf(vd1185,vd1201) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187))
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f1025,f1088]) ).
fof(f1132,plain,
( spl0_23
<=> rpoint(vd1187) ),
introduced(split_symbol_definition) ).
fof(f1134,plain,
( ~ rpoint(vd1187)
| spl0_23 ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1135,plain,
( spl0_24
<=> vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)) = vf(vd1185,vd1201) ),
introduced(split_symbol_definition) ).
fof(f1136,plain,
( vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)) = vf(vd1185,vd1201)
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1138,plain,
( ~ rpoint(vd1187)
| vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)) = vf(vd1185,vd1201) ),
inference(resolution,[status(thm)],[f1034,f164]) ).
fof(f1139,plain,
( ~ spl0_23
| spl0_24 ),
inference(split_clause,[status(thm)],[f1138,f1132,f1135]) ).
fof(f1140,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1134,f1023]) ).
fof(f1141,plain,
spl0_23,
inference(contradiction_clause,[status(thm)],[f1140]) ).
fof(f1142,plain,
( vplus(vf(vd1185,vd1201),vf(vd1187,vd1201)) = vf(vd1185,vd1201)
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f1086,f1136]) ).
fof(f1143,plain,
( vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)) = vf(vd1185,vd1201)
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f1025,f1142]) ).
fof(f1144,plain,
( $false
| ~ spl0_2
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f1143,f1089]) ).
fof(f1145,plain,
( ~ spl0_2
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f1144]) ).
fof(f1146,plain,
$false,
inference(sat_refutation,[status(thm)],[f755,f756,f757,f1139,f1141,f1145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO300+1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n010.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 11:53:22 EDT 2023
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.39 % Elapsed time: 0.066986 seconds
% 0.14/0.39 % CPU time: 0.045947 seconds
% 0.14/0.39 % Memory used: 4.768 MB
%------------------------------------------------------------------------------