TSTP Solution File: GEO299+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO299+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 0.15s 0.35s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 19 unt; 0 def)
% Number of atoms : 150 ( 57 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 158 ( 50 ~; 38 |; 65 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 37 (; 20 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vf(vd1185,vd1187) = vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rR(vd1201,vd1185,vd1187),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,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(f22,axiom,
? [Vd1205] :
( vd1201 = Vd1205
& rpoint(Vd1205) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,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(f162,plain,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f163,plain,
rR(vd1201,vd1185,vd1187),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f168,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)],[f8]) ).
fof(f169,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)],[f168]) ).
fof(f188,plain,
( vd1201 = sk0_0
& rpoint(sk0_0) ),
inference(skolemization,[status(esa)],[f22]) ).
fof(f189,plain,
vd1201 = sk0_0,
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f190,plain,
rpoint(sk0_0),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f196,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)],[f26]) ).
fof(f197,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_2
& rpoint(sk0_2)
& vd1186 = sk0_3
& rpoint(sk0_3)
& vd1185 = sk0_4
& rpoint(sk0_4)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = sk0_5
& rpoint(sk0_5)
& vd1179 = sk0_6
& rpoint(sk0_6)
& vd1178 = sk0_7
& rpoint(sk0_7) ),
inference(skolemization,[status(esa)],[f196]) ).
fof(f202,plain,
vd1187 = sk0_2,
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f203,plain,
rpoint(sk0_2),
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f206,plain,
vd1185 = sk0_4,
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f207,plain,
rpoint(sk0_4),
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f737,plain,
( spl0_0
<=> rR(vd1201,vd1185,vd1187) ),
introduced(split_symbol_definition) ).
fof(f739,plain,
( ~ rR(vd1201,vd1185,vd1187)
| spl0_0 ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f798,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)],[f169]) ).
fof(f1017,plain,
( spl0_16
<=> rpoint(vd1187) ),
introduced(split_symbol_definition) ).
fof(f1019,plain,
( ~ rpoint(vd1187)
| spl0_16 ),
inference(component_clause,[status(thm)],[f1017]) ).
fof(f1020,plain,
( spl0_17
<=> rpoint(vd1201) ),
introduced(split_symbol_definition) ).
fof(f1022,plain,
( ~ rpoint(vd1201)
| spl0_17 ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1023,plain,
( spl0_18
<=> rpoint(vd1185) ),
introduced(split_symbol_definition) ).
fof(f1025,plain,
( ~ rpoint(vd1185)
| spl0_18 ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1026,plain,
( ~ rR(vd1201,vd1185,vd1187)
| ~ rpoint(vd1187)
| ~ rpoint(vd1201)
| ~ rpoint(vd1185) ),
inference(resolution,[status(thm)],[f798,f162]) ).
fof(f1027,plain,
( ~ spl0_0
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1026,f737,f1017,f1020,f1023]) ).
fof(f1072,plain,
rpoint(vd1201),
inference(forward_demodulation,[status(thm)],[f189,f190]) ).
fof(f1074,plain,
rpoint(vd1187),
inference(forward_demodulation,[status(thm)],[f202,f203]) ).
fof(f1076,plain,
rpoint(vd1185),
inference(forward_demodulation,[status(thm)],[f206,f207]) ).
fof(f1104,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f1025,f1076]) ).
fof(f1105,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f1104]) ).
fof(f1106,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f1074]) ).
fof(f1107,plain,
spl0_16,
inference(contradiction_clause,[status(thm)],[f1106]) ).
fof(f1108,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f1072]) ).
fof(f1109,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f1108]) ).
fof(f1112,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f739,f163]) ).
fof(f1113,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f1112]) ).
fof(f1114,plain,
$false,
inference(sat_refutation,[status(thm)],[f1027,f1105,f1107,f1109,f1113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO299+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n028.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 12:17:02 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.35 % Refutation found
% 0.15/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.57 % Elapsed time: 0.051236 seconds
% 0.15/0.57 % CPU time: 0.079956 seconds
% 0.15/0.57 % Memory used: 9.411 MB
%------------------------------------------------------------------------------