%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO289+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 : Fri Sep 25 01:20:41 PM UTC 2026
% Result : Theorem 60.28s 17.64s
% Output : CNFRefutation 60.28s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f5ERROR: Could not build tree for root c_99998ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f164,plain,
( ? [X6] :
( rpoint(X6)
& vd1156 = X6 )
& ? [X5] :
( rpoint(X5)
& vd1157 = X5 )
& ? [X4] :
( rpoint(X4)
& vd1158 = X4 )
& vd1156 != vd1157
& vd1156 != vd1158
& vd1157 != vd1158
& ? [X3] :
( rpoint(X3)
& vd1163 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1164 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1165 = X1 )
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& ! [X0] :
( ~ rline(X0)
| ~ ron(vd1163,X0)
| ~ ron(vd1164,X0)
| ~ ron(vd1165,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4,X5] :
( ! [X12] :
( ~ rpoint(X12)
| X0 != X12 )
| ! [X11] :
( ~ rpoint(X11)
| X1 != X11 )
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X8] :
( ~ rpoint(X8)
| X4 != X8 )
| ! [X7] :
( ~ rpoint(X7)
| X5 != X7 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ? [X6] :
( rline(X6)
& ron(X3,X6)
& ron(X4,X6)
& ron(X5,X6) )
| vangle(X3,X5,X4) = vangle(X0,X2,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f166,plain,
! [X0,X1,X2,X3,X4,X5] :
( ! [X12] :
( ~ rpoint(X12)
| X0 != X12 )
| ! [X11] :
( ~ rpoint(X11)
| X1 != X11 )
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X8] :
( ~ rpoint(X8)
| X4 != X8 )
| ! [X7] :
( ~ rpoint(X7)
| X5 != X7 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ? [X6] :
( rline(X6)
& ron(X3,X6)
& ron(X4,X6)
& ron(X5,X6) )
| vangle(X3,X5,X4) = vangle(X0,X2,X1) ),
inference(flattening,[],[f165]) ).
fof(f457,plain,
( rpoint(sK6)
& vd1156 = sK6
& rpoint(sK5)
& vd1157 = sK5
& rpoint(sK4)
& vd1158 = sK4
& vd1156 != vd1157
& vd1156 != vd1158
& vd1157 != vd1158
& rpoint(sK3)
& vd1163 = sK3
& rpoint(sK2)
& vd1164 = sK2
& rpoint(sK1)
& vd1165 = sK1
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& ! [X0] :
( ~ rline(X0)
| ~ ron(vd1163,X0)
| ~ ron(vd1164,X0)
| ~ ron(vd1165,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f164]) ).
fof(f458,plain,
! [X0,X1,X2,X3,X4,X5] :
( ! [X12] :
( ~ rpoint(X12)
| X0 != X12 )
| ! [X11] :
( ~ rpoint(X11)
| X1 != X11 )
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X8] :
( ~ rpoint(X8)
| X4 != X8 )
| ! [X7] :
( ~ rpoint(X7)
| X5 != X7 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ( rline(sK7(X3,X4,X5))
& ron(X3,sK7(X3,X4,X5))
& ron(X4,sK7(X3,X4,X5))
& ron(X5,sK7(X3,X4,X5)) )
| vangle(X3,X5,X4) = vangle(X0,X2,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X6,sK7(X3,X4,X5))],[f166]) ).
fof(f609,plain,
vangle(vd1156,vd1158,vd1157) != vangle(vd1163,vd1165,vd1164),
inference(cnf_transformation,[],[f159]) ).
fof(f612,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f457]) ).
fof(f613,plain,
vd1156 = sK6,
inference(cnf_transformation,[],[f457]) ).
fof(f614,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f457]) ).
fof(f615,plain,
vd1157 = sK5,
inference(cnf_transformation,[],[f457]) ).
fof(f616,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f457]) ).
fof(f617,plain,
vd1158 = sK4,
inference(cnf_transformation,[],[f457]) ).
fof(f618,plain,
vd1156 != vd1157,
inference(cnf_transformation,[],[f457]) ).
fof(f619,plain,
vd1156 != vd1158,
inference(cnf_transformation,[],[f457]) ).
fof(f620,plain,
vd1158 != vd1157,
inference(cnf_transformation,[],[f457]) ).
fof(f621,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f457]) ).
fof(f622,plain,
vd1163 = sK3,
inference(cnf_transformation,[],[f457]) ).
fof(f623,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f457]) ).
fof(f624,plain,
vd1164 = sK2,
inference(cnf_transformation,[],[f457]) ).
fof(f625,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f457]) ).
fof(f626,plain,
vd1165 = sK1,
inference(cnf_transformation,[],[f457]) ).
fof(f627,plain,
vf(vd1156,vd1157) = vf(vd1163,vd1164),
inference(cnf_transformation,[],[f457]) ).
fof(f628,plain,
vf(vd1156,vd1158) = vf(vd1163,vd1165),
inference(cnf_transformation,[],[f457]) ).
fof(f629,plain,
vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
inference(cnf_transformation,[],[f457]) ).
fof(f630,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(vd1163,X0)
| ~ ron(vd1164,X0)
| ~ ron(vd1165,X0) ),
inference(cnf_transformation,[],[f457]) ).
fof(f631,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| rline(sK7(X3,X4,X5))
| vangle(X3,X5,X4) = vangle(X0,X2,X1) ),
inference(cnf_transformation,[],[f458]) ).
fof(f632,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X3,sK7(X3,X4,X5))
| vangle(X3,X5,X4) = vangle(X0,X2,X1) ),
inference(cnf_transformation,[],[f458]) ).
fof(f633,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X4,sK7(X3,X4,X5))
| vangle(X3,X5,X4) = vangle(X0,X2,X1) ),
inference(cnf_transformation,[],[f458]) ).
fof(f634,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X5,sK7(X3,X4,X5))
| vangle(X3,X5,X4) = vangle(X0,X2,X1) ),
inference(cnf_transformation,[],[f458]) ).
fof(f1036,plain,
vangle(sK6,sK4,sK5) != vangle(sK3,sK1,sK2),
inference(definition_unfolding,[],[f609,f613,f617,f615,f622,f626,f624]) ).
fof(f1039,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0) ),
inference(definition_unfolding,[],[f630,f626,f624,f622]) ).
fof(f1040,plain,
vangle(sK5,sK6,sK4) = vangle(sK2,sK3,sK1),
inference(definition_unfolding,[],[f629,f615,f613,f617,f624,f622,f626]) ).
fof(f1041,plain,
vf(sK6,sK4) = vf(sK3,sK1),
inference(definition_unfolding,[],[f628,f613,f617,f622,f626]) ).
fof(f1042,plain,
vf(sK6,sK5) = vf(sK3,sK2),
inference(definition_unfolding,[],[f627,f613,f615,f622,f624]) ).
fof(f1043,plain,
sK4 != sK5,
inference(definition_unfolding,[],[f620,f617,f615]) ).
fof(f1044,plain,
sK4 != sK6,
inference(definition_unfolding,[],[f619,f613,f617]) ).
fof(f1045,plain,
sK5 != sK6,
inference(definition_unfolding,[],[f618,f613,f615]) ).
fof(f1055,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X7)
| vangle(X1,X0,X2) != vangle(X4,X3,X7)
| ron(X7,sK7(X3,X4,X7))
| vangle(X0,X2,X1) = vangle(X3,X7,X4) ),
inference(equality_resolution,[],[f634]) ).
fof(f1056,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X0,X1) != vf(X3,X8)
| vf(X0,X2) != vf(X3,X7)
| vangle(X1,X0,X2) != vangle(X8,X3,X7)
| ron(X7,sK7(X3,X8,X7))
| vangle(X0,X2,X1) = vangle(X3,X7,X8) ),
inference(equality_resolution,[],[f1055]) ).
fof(f1057,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X0,X1) != vf(X9,X8)
| vf(X0,X2) != vf(X9,X7)
| vangle(X1,X0,X2) != vangle(X8,X9,X7)
| ron(X7,sK7(X9,X8,X7))
| vangle(X0,X2,X1) = vangle(X9,X7,X8) ),
inference(equality_resolution,[],[f1056]) ).
fof(f1058,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X0 = X1
| X0 = X10
| X1 = X10
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X0,X1) != vf(X9,X8)
| vf(X9,X7) != vf(X0,X10)
| vangle(X8,X9,X7) != vangle(X1,X0,X10)
| ron(X7,sK7(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X0,X10,X1) ),
inference(equality_resolution,[],[f1057]) ).
fof(f1059,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| ~ rpoint(X10)
| X0 = X11
| X0 = X10
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X9,X8) != vf(X0,X11)
| vf(X9,X7) != vf(X0,X10)
| vangle(X8,X9,X7) != vangle(X11,X0,X10)
| ron(X7,sK7(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X0,X10,X11) ),
inference(equality_resolution,[],[f1058]) ).
fof(f1060,plain,
! [X10,X11,X8,X9,X7,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X9,X8) != vf(X12,X11)
| vf(X9,X7) != vf(X12,X10)
| vangle(X8,X9,X7) != vangle(X11,X12,X10)
| ron(X7,sK7(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X12,X10,X11) ),
inference(equality_resolution,[],[f1059]) ).
fof(f1061,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X7)
| vangle(X1,X0,X2) != vangle(X4,X3,X7)
| ron(X4,sK7(X3,X4,X7))
| vangle(X0,X2,X1) = vangle(X3,X7,X4) ),
inference(equality_resolution,[],[f633]) ).
fof(f1062,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X0,X1) != vf(X3,X8)
| vf(X0,X2) != vf(X3,X7)
| vangle(X1,X0,X2) != vangle(X8,X3,X7)
| ron(X8,sK7(X3,X8,X7))
| vangle(X0,X2,X1) = vangle(X3,X7,X8) ),
inference(equality_resolution,[],[f1061]) ).
fof(f1063,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X0,X1) != vf(X9,X8)
| vf(X0,X2) != vf(X9,X7)
| vangle(X1,X0,X2) != vangle(X8,X9,X7)
| ron(X8,sK7(X9,X8,X7))
| vangle(X0,X2,X1) = vangle(X9,X7,X8) ),
inference(equality_resolution,[],[f1062]) ).
fof(f1064,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X0 = X1
| X0 = X10
| X1 = X10
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X0,X1) != vf(X9,X8)
| vf(X9,X7) != vf(X0,X10)
| vangle(X8,X9,X7) != vangle(X1,X0,X10)
| ron(X8,sK7(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X0,X10,X1) ),
inference(equality_resolution,[],[f1063]) ).
fof(f1065,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| ~ rpoint(X10)
| X0 = X11
| X0 = X10
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X9,X8) != vf(X0,X11)
| vf(X9,X7) != vf(X0,X10)
| vangle(X8,X9,X7) != vangle(X11,X0,X10)
| ron(X8,sK7(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X0,X10,X11) ),
inference(equality_resolution,[],[f1064]) ).
fof(f1066,plain,
! [X10,X11,X8,X9,X7,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X9,X8) != vf(X12,X11)
| vf(X9,X7) != vf(X12,X10)
| vangle(X8,X9,X7) != vangle(X11,X12,X10)
| ron(X8,sK7(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X12,X10,X11) ),
inference(equality_resolution,[],[f1065]) ).
fof(f1067,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X7)
| vangle(X1,X0,X2) != vangle(X4,X3,X7)
| ron(X3,sK7(X3,X4,X7))
| vangle(X0,X2,X1) = vangle(X3,X7,X4) ),
inference(equality_resolution,[],[f632]) ).
fof(f1068,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X0,X1) != vf(X3,X8)
| vf(X0,X2) != vf(X3,X7)
| vangle(X1,X0,X2) != vangle(X8,X3,X7)
| ron(X3,sK7(X3,X8,X7))
| vangle(X0,X2,X1) = vangle(X3,X7,X8) ),
inference(equality_resolution,[],[f1067]) ).
fof(f1069,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X0,X1) != vf(X9,X8)
| vf(X0,X2) != vf(X9,X7)
| vangle(X1,X0,X2) != vangle(X8,X9,X7)
| ron(X9,sK7(X9,X8,X7))
| vangle(X0,X2,X1) = vangle(X9,X7,X8) ),
inference(equality_resolution,[],[f1068]) ).
fof(f1070,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X0 = X1
| X0 = X10
| X1 = X10
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X0,X1) != vf(X9,X8)
| vf(X9,X7) != vf(X0,X10)
| vangle(X8,X9,X7) != vangle(X1,X0,X10)
| ron(X9,sK7(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X0,X10,X1) ),
inference(equality_resolution,[],[f1069]) ).
fof(f1071,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| ~ rpoint(X10)
| X0 = X11
| X0 = X10
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X9,X8) != vf(X0,X11)
| vf(X9,X7) != vf(X0,X10)
| vangle(X8,X9,X7) != vangle(X11,X0,X10)
| ron(X9,sK7(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X0,X10,X11) ),
inference(equality_resolution,[],[f1070]) ).
fof(f1072,plain,
! [X10,X11,X8,X9,X7,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X9,X8) != vf(X12,X11)
| vf(X9,X7) != vf(X12,X10)
| vangle(X8,X9,X7) != vangle(X11,X12,X10)
| ron(X9,sK7(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X12,X10,X11) ),
inference(equality_resolution,[],[f1071]) ).
fof(f1073,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X7)
| vangle(X1,X0,X2) != vangle(X4,X3,X7)
| rline(sK7(X3,X4,X7))
| vangle(X0,X2,X1) = vangle(X3,X7,X4) ),
inference(equality_resolution,[],[f631]) ).
fof(f1074,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X0,X1) != vf(X3,X8)
| vf(X0,X2) != vf(X3,X7)
| vangle(X1,X0,X2) != vangle(X8,X3,X7)
| rline(sK7(X3,X8,X7))
| vangle(X0,X2,X1) = vangle(X3,X7,X8) ),
inference(equality_resolution,[],[f1073]) ).
fof(f1075,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X0,X1) != vf(X9,X8)
| vf(X0,X2) != vf(X9,X7)
| vangle(X1,X0,X2) != vangle(X8,X9,X7)
| rline(sK7(X9,X8,X7))
| vangle(X0,X2,X1) = vangle(X9,X7,X8) ),
inference(equality_resolution,[],[f1074]) ).
fof(f1076,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X0 = X1
| X0 = X10
| X1 = X10
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X0,X1) != vf(X9,X8)
| vf(X9,X7) != vf(X0,X10)
| vangle(X8,X9,X7) != vangle(X1,X0,X10)
| rline(sK7(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X0,X10,X1) ),
inference(equality_resolution,[],[f1075]) ).
fof(f1077,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| ~ rpoint(X10)
| X0 = X11
| X0 = X10
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X9,X8) != vf(X0,X11)
| vf(X9,X7) != vf(X0,X10)
| vangle(X8,X9,X7) != vangle(X11,X0,X10)
| rline(sK7(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X0,X10,X11) ),
inference(equality_resolution,[],[f1076]) ).
fof(f1078,plain,
! [X10,X11,X8,X9,X7,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X9,X8) != vf(X12,X11)
| vf(X9,X7) != vf(X12,X10)
| vangle(X8,X9,X7) != vangle(X11,X12,X10)
| rline(sK7(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X12,X10,X11) ),
inference(equality_resolution,[],[f1077]) ).
tcf(c_49,negated_conjecture,
vangle(sK6,sK4,sK5) != vangle(sK3,sK1,sK2),
inference(cnf_transformation,[],[f1036]) ).
tcf(c_52,plain,
! [X0: $i] :
( ~ rline(X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0) ),
inference(cnf_transformation,[],[f1039]) ).
tcf(c_53,plain,
vangle(sK5,sK6,sK4) = vangle(sK2,sK3,sK1),
inference(cnf_transformation,[],[f1040]) ).
tcf(c_54,plain,
vf(sK6,sK4) = vf(sK3,sK1),
inference(cnf_transformation,[],[f1041]) ).
tcf(c_55,plain,
vf(sK6,sK5) = vf(sK3,sK2),
inference(cnf_transformation,[],[f1042]) ).
tcf(c_56,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f625]) ).
tcf(c_57,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f623]) ).
tcf(c_58,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f621]) ).
tcf(c_59,plain,
sK4 != sK5,
inference(cnf_transformation,[],[f1043]) ).
tcf(c_60,plain,
sK6 != sK4,
inference(cnf_transformation,[],[f1044]) ).
tcf(c_61,plain,
sK6 != sK5,
inference(cnf_transformation,[],[f1045]) ).
tcf(c_62,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f616]) ).
tcf(c_63,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f614]) ).
tcf(c_64,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f612]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ron(X2,sK7(X1,X0,X2))
| ( X4 = X5 )
| ( X3 = X5 )
| ( X3 = X4 )
| ( vangle(X1,X2,X0) = vangle(X4,X5,X3) )
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ( vf(X1,X2) != vf(X4,X5) )
| ( vf(X1,X0) != vf(X4,X3) )
| ( vangle(X0,X1,X2) != vangle(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f1060]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ron(X0,sK7(X1,X0,X2))
| ( X4 = X5 )
| ( X3 = X5 )
| ( X3 = X4 )
| ( vangle(X1,X2,X0) = vangle(X4,X5,X3) )
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ( vf(X1,X2) != vf(X4,X5) )
| ( vf(X1,X0) != vf(X4,X3) )
| ( vangle(X0,X1,X2) != vangle(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f1066]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ron(X1,sK7(X1,X0,X2))
| ( X4 = X5 )
| ( X3 = X5 )
| ( X3 = X4 )
| ( vangle(X1,X2,X0) = vangle(X4,X5,X3) )
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ( vf(X1,X2) != vf(X4,X5) )
| ( vf(X1,X0) != vf(X4,X3) )
| ( vangle(X0,X1,X2) != vangle(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f1072]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( rline(sK7(X1,X0,X2))
| ( X4 = X5 )
| ( X3 = X5 )
| ( X3 = X4 )
| ( vangle(X1,X2,X0) = vangle(X4,X5,X3) )
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ( vf(X1,X2) != vf(X4,X5) )
| ( vf(X1,X0) != vf(X4,X3) )
| ( vangle(X0,X1,X2) != vangle(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f1078]) ).
tcf(c_46429,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1,X3_iProver_rpoint_1: iProver_rpoint_1,X4_iProver_rpoint_1: iProver_rpoint_1,X5_iProver_rpoint_1: iProver_rpoint_1] :
( rline(sK7(X1_iProver_rpoint_1,X0_iProver_rpoint_1,X2_iProver_rpoint_1))
| ( X4_iProver_rpoint_1 = X5_iProver_rpoint_1 )
| ( X3_iProver_rpoint_1 = X5_iProver_rpoint_1 )
| ( X3_iProver_rpoint_1 = X4_iProver_rpoint_1 )
| ( vangle(X1_iProver_rpoint_1,X2_iProver_rpoint_1,X0_iProver_rpoint_1) = vangle(X4_iProver_rpoint_1,X5_iProver_rpoint_1,X3_iProver_rpoint_1) )
| ~ rpoint(X5_iProver_rpoint_1)
| ~ rpoint(X4_iProver_rpoint_1)
| ~ rpoint(X3_iProver_rpoint_1)
| ~ rpoint(X2_iProver_rpoint_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ( vf(X1_iProver_rpoint_1,X2_iProver_rpoint_1) != vf(X4_iProver_rpoint_1,X5_iProver_rpoint_1) )
| ( vf(X1_iProver_rpoint_1,X0_iProver_rpoint_1) != vf(X4_iProver_rpoint_1,X3_iProver_rpoint_1) )
| ( vangle(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) != vangle(X3_iProver_rpoint_1,X4_iProver_rpoint_1,X5_iProver_rpoint_1) ) ),
inference(subtyping,[status(esa)],[c_68]) ).
tcf(c_46430,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1,X3_iProver_rpoint_1: iProver_rpoint_1,X4_iProver_rpoint_1: iProver_rpoint_1,X5_iProver_rpoint_1: iProver_rpoint_1] :
( ron(X1_iProver_rpoint_1,sK7(X1_iProver_rpoint_1,X0_iProver_rpoint_1,X2_iProver_rpoint_1))
| ( X4_iProver_rpoint_1 = X5_iProver_rpoint_1 )
| ( X3_iProver_rpoint_1 = X5_iProver_rpoint_1 )
| ( X3_iProver_rpoint_1 = X4_iProver_rpoint_1 )
| ( vangle(X1_iProver_rpoint_1,X2_iProver_rpoint_1,X0_iProver_rpoint_1) = vangle(X4_iProver_rpoint_1,X5_iProver_rpoint_1,X3_iProver_rpoint_1) )
| ~ rpoint(X5_iProver_rpoint_1)
| ~ rpoint(X4_iProver_rpoint_1)
| ~ rpoint(X3_iProver_rpoint_1)
| ~ rpoint(X2_iProver_rpoint_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ( vf(X1_iProver_rpoint_1,X2_iProver_rpoint_1) != vf(X4_iProver_rpoint_1,X5_iProver_rpoint_1) )
| ( vf(X1_iProver_rpoint_1,X0_iProver_rpoint_1) != vf(X4_iProver_rpoint_1,X3_iProver_rpoint_1) )
| ( vangle(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) != vangle(X3_iProver_rpoint_1,X4_iProver_rpoint_1,X5_iProver_rpoint_1) ) ),
inference(subtyping,[status(esa)],[c_67]) ).
tcf(c_46431,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1,X3_iProver_rpoint_1: iProver_rpoint_1,X4_iProver_rpoint_1: iProver_rpoint_1,X5_iProver_rpoint_1: iProver_rpoint_1] :
( ron(X0_iProver_rpoint_1,sK7(X1_iProver_rpoint_1,X0_iProver_rpoint_1,X2_iProver_rpoint_1))
| ( X4_iProver_rpoint_1 = X5_iProver_rpoint_1 )
| ( X3_iProver_rpoint_1 = X5_iProver_rpoint_1 )
| ( X3_iProver_rpoint_1 = X4_iProver_rpoint_1 )
| ( vangle(X1_iProver_rpoint_1,X2_iProver_rpoint_1,X0_iProver_rpoint_1) = vangle(X4_iProver_rpoint_1,X5_iProver_rpoint_1,X3_iProver_rpoint_1) )
| ~ rpoint(X5_iProver_rpoint_1)
| ~ rpoint(X4_iProver_rpoint_1)
| ~ rpoint(X3_iProver_rpoint_1)
| ~ rpoint(X2_iProver_rpoint_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ( vf(X1_iProver_rpoint_1,X2_iProver_rpoint_1) != vf(X4_iProver_rpoint_1,X5_iProver_rpoint_1) )
| ( vf(X1_iProver_rpoint_1,X0_iProver_rpoint_1) != vf(X4_iProver_rpoint_1,X3_iProver_rpoint_1) )
| ( vangle(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) != vangle(X3_iProver_rpoint_1,X4_iProver_rpoint_1,X5_iProver_rpoint_1) ) ),
inference(subtyping,[status(esa)],[c_66]) ).
tcf(c_46432,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1,X3_iProver_rpoint_1: iProver_rpoint_1,X4_iProver_rpoint_1: iProver_rpoint_1,X5_iProver_rpoint_1: iProver_rpoint_1] :
( ron(X2_iProver_rpoint_1,sK7(X1_iProver_rpoint_1,X0_iProver_rpoint_1,X2_iProver_rpoint_1))
| ( X4_iProver_rpoint_1 = X5_iProver_rpoint_1 )
| ( X3_iProver_rpoint_1 = X5_iProver_rpoint_1 )
| ( X3_iProver_rpoint_1 = X4_iProver_rpoint_1 )
| ( vangle(X1_iProver_rpoint_1,X2_iProver_rpoint_1,X0_iProver_rpoint_1) = vangle(X4_iProver_rpoint_1,X5_iProver_rpoint_1,X3_iProver_rpoint_1) )
| ~ rpoint(X5_iProver_rpoint_1)
| ~ rpoint(X4_iProver_rpoint_1)
| ~ rpoint(X3_iProver_rpoint_1)
| ~ rpoint(X2_iProver_rpoint_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ( vf(X1_iProver_rpoint_1,X2_iProver_rpoint_1) != vf(X4_iProver_rpoint_1,X5_iProver_rpoint_1) )
| ( vf(X1_iProver_rpoint_1,X0_iProver_rpoint_1) != vf(X4_iProver_rpoint_1,X3_iProver_rpoint_1) )
| ( vangle(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) != vangle(X3_iProver_rpoint_1,X4_iProver_rpoint_1,X5_iProver_rpoint_1) ) ),
inference(subtyping,[status(esa)],[c_65]) ).
tcf(c_46436,plain,
sK6 != sK5,
inference(subtyping,[status(esa)],[c_61]) ).
tcf(c_46437,plain,
sK6 != sK4,
inference(subtyping,[status(esa)],[c_60]) ).
tcf(c_46438,plain,
sK4 != sK5,
inference(subtyping,[status(esa)],[c_59]) ).
tcf(c_46442,plain,
vf(sK6,sK5) = vf(sK3,sK2),
inference(subtyping,[status(esa)],[c_55]) ).
tcf(c_46443,plain,
vf(sK6,sK4) = vf(sK3,sK1),
inference(subtyping,[status(esa)],[c_54]) ).
tcf(c_46444,plain,
vangle(sK5,sK6,sK4) = vangle(sK2,sK3,sK1),
inference(subtyping,[status(esa)],[c_53]) ).
tcf(c_46445,plain,
! [X0_iProver_rline_1: iProver_rline_1] :
( ~ rline(X0_iProver_rline_1)
| ~ ron(sK2,X0_iProver_rline_1)
| ~ ron(sK1,X0_iProver_rline_1)
| ~ ron(sK3,X0_iProver_rline_1) ),
inference(subtyping,[status(esa)],[c_52]) ).
tcf(c_46448,negated_conjecture,
vangle(sK6,sK4,sK5) != vangle(sK3,sK1,sK2),
inference(subtyping,[status(esa)],[c_49]) ).
tcf(c_46467,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] : X0_iProver_rpoint_1 = X0_iProver_rpoint_1,
theory(equality) ).
tcf(c_46469,plain,
! [X0_iProver_vg_0: iProver_vg_0] : X0_iProver_vg_0 = X0_iProver_vg_0,
theory(equality) ).
tcf(c_46470,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1] :
( ( X2_iProver_rpoint_1 = X0_iProver_rpoint_1 )
| ( X2_iProver_rpoint_1 != X1_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 != X1_iProver_rpoint_1 ) ),
theory(equality) ).
tcf(c_46472,plain,
! [X0_iProver_vg_0: iProver_vg_0,X1_iProver_vg_0: iProver_vg_0,X2_iProver_vg_0: iProver_vg_0] :
( ( X2_iProver_vg_0 = X0_iProver_vg_0 )
| ( X2_iProver_vg_0 != X1_iProver_vg_0 )
| ( X0_iProver_vg_0 != X1_iProver_vg_0 ) ),
theory(equality) ).
tcf(c_46491,plain,
sK4 = sK4,
inference(instantiation,[status(thm)],[c_46467]) ).
tcf(c_67870,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ( sK6 = sK5 )
| ( sK5 != X0_iProver_rpoint_1 )
| ( sK6 != X0_iProver_rpoint_1 ) ),
inference(instantiation,[status(thm)],[c_46470]) ).
tcf(c_67872,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ( sK4 = sK5 )
| ( sK5 != X0_iProver_rpoint_1 )
| ( sK4 != X0_iProver_rpoint_1 ) ),
inference(instantiation,[status(thm)],[c_46470]) ).
tcf(c_67873,plain,
( ( sK4 = sK5 )
| ( sK5 != sK4 )
| ( sK4 != sK4 ) ),
inference(instantiation,[status(thm)],[c_67872]) ).
tcf(c_67874,plain,
! [X0_iProver_vg_0: iProver_vg_0] :
( ( vangle(sK6,sK4,sK5) = vangle(sK3,sK1,sK2) )
| ( vangle(sK3,sK1,sK2) != X0_iProver_vg_0 )
| ( vangle(sK6,sK4,sK5) != X0_iProver_vg_0 ) ),
inference(instantiation,[status(thm)],[c_46472]) ).
tcf(c_68980,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1] :
( ( vangle(sK6,sK4,sK5) = vangle(sK3,sK1,sK2) )
| ( vangle(sK3,sK1,sK2) != vangle(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) )
| ( vangle(sK6,sK4,sK5) != vangle(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) ) ),
inference(instantiation,[status(thm)],[c_67874]) ).
tcf(c_68981,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1] :
( ron(sK1,sK7(sK3,sK2,sK1))
| ( X1_iProver_rpoint_1 = X2_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 = X2_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 = X1_iProver_rpoint_1 )
| ( vangle(sK3,sK1,sK2) = vangle(X1_iProver_rpoint_1,X2_iProver_rpoint_1,X0_iProver_rpoint_1) )
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(X2_iProver_rpoint_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ( vf(sK3,sK2) != vf(X1_iProver_rpoint_1,X0_iProver_rpoint_1) )
| ( vf(sK3,sK1) != vf(X1_iProver_rpoint_1,X2_iProver_rpoint_1) )
| ( vangle(sK2,sK3,sK1) != vangle(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) ) ),
inference(instantiation,[status(thm)],[c_46432]) ).
tcf(c_68982,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1] :
( ron(sK2,sK7(sK3,sK2,sK1))
| ( X1_iProver_rpoint_1 = X2_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 = X2_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 = X1_iProver_rpoint_1 )
| ( vangle(sK3,sK1,sK2) = vangle(X1_iProver_rpoint_1,X2_iProver_rpoint_1,X0_iProver_rpoint_1) )
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(X2_iProver_rpoint_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ( vf(sK3,sK2) != vf(X1_iProver_rpoint_1,X0_iProver_rpoint_1) )
| ( vf(sK3,sK1) != vf(X1_iProver_rpoint_1,X2_iProver_rpoint_1) )
| ( vangle(sK2,sK3,sK1) != vangle(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) ) ),
inference(instantiation,[status(thm)],[c_46431]) ).
tcf(c_68983,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1] :
( ron(sK3,sK7(sK3,sK2,sK1))
| ( X1_iProver_rpoint_1 = X2_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 = X2_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 = X1_iProver_rpoint_1 )
| ( vangle(sK3,sK1,sK2) = vangle(X1_iProver_rpoint_1,X2_iProver_rpoint_1,X0_iProver_rpoint_1) )
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(X2_iProver_rpoint_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ( vf(sK3,sK2) != vf(X1_iProver_rpoint_1,X0_iProver_rpoint_1) )
| ( vf(sK3,sK1) != vf(X1_iProver_rpoint_1,X2_iProver_rpoint_1) )
| ( vangle(sK2,sK3,sK1) != vangle(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) ) ),
inference(instantiation,[status(thm)],[c_46430]) ).
tcf(c_68984,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1] :
( rline(sK7(sK3,sK2,sK1))
| ( X1_iProver_rpoint_1 = X2_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 = X2_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 = X1_iProver_rpoint_1 )
| ( vangle(sK3,sK1,sK2) = vangle(X1_iProver_rpoint_1,X2_iProver_rpoint_1,X0_iProver_rpoint_1) )
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(X2_iProver_rpoint_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ( vf(sK3,sK2) != vf(X1_iProver_rpoint_1,X0_iProver_rpoint_1) )
| ( vf(sK3,sK1) != vf(X1_iProver_rpoint_1,X2_iProver_rpoint_1) )
| ( vangle(sK2,sK3,sK1) != vangle(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) ) ),
inference(instantiation,[status(thm)],[c_46429]) ).
tcf(c_70951,plain,
sK6 = sK6,
inference(instantiation,[status(thm)],[c_46467]) ).
tcf(c_71121,plain,
! [X0_iProver_vg_0: iProver_vg_0,X1_iProver_vg_0: iProver_vg_0] :
( ( X1_iProver_vg_0 = X0_iProver_vg_0 )
| ( X0_iProver_vg_0 != X1_iProver_vg_0 ) ),
inference(resolution,[status(thm)],[c_46472,c_46469]) ).
tcf(c_71210,plain,
( ( sK6 = sK5 )
| ( sK5 != sK6 )
| ( sK6 != sK6 ) ),
inference(instantiation,[status(thm)],[c_67870]) ).
tcf(c_71270,plain,
vf(sK3,sK2) = vf(sK6,sK5),
inference(resolution,[status(thm)],[c_71121,c_46442]) ).
tcf(c_71271,plain,
vf(sK3,sK1) = vf(sK6,sK4),
inference(resolution,[status(thm)],[c_71121,c_46443]) ).
tcf(c_71272,plain,
vangle(sK2,sK3,sK1) = vangle(sK5,sK6,sK4),
inference(resolution,[status(thm)],[c_71121,c_46444]) ).
tcf(c_74713,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ron(sK1,sK7(sK3,sK2,sK1))
| ( sK6 = sK4 )
| ( X0_iProver_rpoint_1 = sK4 )
| ( X0_iProver_rpoint_1 = sK6 )
| ( vangle(sK3,sK1,sK2) = vangle(sK6,sK4,X0_iProver_rpoint_1) )
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(X0_iProver_rpoint_1)
| ( vf(sK3,sK2) != vf(sK6,X0_iProver_rpoint_1) )
| ( vf(sK3,sK1) != vf(sK6,sK4) )
| ( vangle(sK2,sK3,sK1) != vangle(X0_iProver_rpoint_1,sK6,sK4) ) ),
inference(instantiation,[status(thm)],[c_68981]) ).
tcf(c_74791,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ron(sK2,sK7(sK3,sK2,sK1))
| ( sK6 = sK4 )
| ( X0_iProver_rpoint_1 = sK4 )
| ( X0_iProver_rpoint_1 = sK6 )
| ( vangle(sK3,sK1,sK2) = vangle(sK6,sK4,X0_iProver_rpoint_1) )
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(X0_iProver_rpoint_1)
| ( vf(sK3,sK2) != vf(sK6,X0_iProver_rpoint_1) )
| ( vf(sK3,sK1) != vf(sK6,sK4) )
| ( vangle(sK2,sK3,sK1) != vangle(X0_iProver_rpoint_1,sK6,sK4) ) ),
inference(instantiation,[status(thm)],[c_68982]) ).
tcf(c_74897,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ron(sK3,sK7(sK3,sK2,sK1))
| ( sK6 = sK4 )
| ( X0_iProver_rpoint_1 = sK4 )
| ( X0_iProver_rpoint_1 = sK6 )
| ( vangle(sK3,sK1,sK2) = vangle(sK6,sK4,X0_iProver_rpoint_1) )
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(X0_iProver_rpoint_1)
| ( vf(sK3,sK2) != vf(sK6,X0_iProver_rpoint_1) )
| ( vf(sK3,sK1) != vf(sK6,sK4) )
| ( vangle(sK2,sK3,sK1) != vangle(X0_iProver_rpoint_1,sK6,sK4) ) ),
inference(instantiation,[status(thm)],[c_68983]) ).
tcf(c_74965,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( rline(sK7(sK3,sK2,sK1))
| ( sK6 = sK4 )
| ( X0_iProver_rpoint_1 = sK4 )
| ( X0_iProver_rpoint_1 = sK6 )
| ( vangle(sK3,sK1,sK2) = vangle(sK6,sK4,X0_iProver_rpoint_1) )
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(X0_iProver_rpoint_1)
| ( vf(sK3,sK2) != vf(sK6,X0_iProver_rpoint_1) )
| ( vf(sK3,sK1) != vf(sK6,sK4) )
| ( vangle(sK2,sK3,sK1) != vangle(X0_iProver_rpoint_1,sK6,sK4) ) ),
inference(instantiation,[status(thm)],[c_68984]) ).
tcf(c_82160,plain,
( ron(sK1,sK7(sK3,sK2,sK1))
| ( sK5 = sK4 )
| ( sK5 = sK6 )
| ( sK6 = sK4 )
| ( vangle(sK3,sK1,sK2) = vangle(sK6,sK4,sK5) )
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ( vf(sK3,sK2) != vf(sK6,sK5) )
| ( vf(sK3,sK1) != vf(sK6,sK4) )
| ( vangle(sK2,sK3,sK1) != vangle(sK5,sK6,sK4) ) ),
inference(instantiation,[status(thm)],[c_74713]) ).
tcf(c_82270,plain,
( ron(sK2,sK7(sK3,sK2,sK1))
| ( sK5 = sK4 )
| ( sK5 = sK6 )
| ( sK6 = sK4 )
| ( vangle(sK3,sK1,sK2) = vangle(sK6,sK4,sK5) )
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ( vf(sK3,sK2) != vf(sK6,sK5) )
| ( vf(sK3,sK1) != vf(sK6,sK4) )
| ( vangle(sK2,sK3,sK1) != vangle(sK5,sK6,sK4) ) ),
inference(instantiation,[status(thm)],[c_74791]) ).
tcf(c_82421,plain,
( ron(sK3,sK7(sK3,sK2,sK1))
| ( sK5 = sK4 )
| ( sK5 = sK6 )
| ( sK6 = sK4 )
| ( vangle(sK3,sK1,sK2) = vangle(sK6,sK4,sK5) )
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ( vf(sK3,sK2) != vf(sK6,sK5) )
| ( vf(sK3,sK1) != vf(sK6,sK4) )
| ( vangle(sK2,sK3,sK1) != vangle(sK5,sK6,sK4) ) ),
inference(instantiation,[status(thm)],[c_74897]) ).
tcf(c_82559,plain,
( rline(sK7(sK3,sK2,sK1))
| ( sK5 = sK4 )
| ( sK5 = sK6 )
| ( sK6 = sK4 )
| ( vangle(sK3,sK1,sK2) = vangle(sK6,sK4,sK5) )
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ( vf(sK3,sK2) != vf(sK6,sK5) )
| ( vf(sK3,sK1) != vf(sK6,sK4) )
| ( vangle(sK2,sK3,sK1) != vangle(sK5,sK6,sK4) ) ),
inference(instantiation,[status(thm)],[c_74965]) ).
tcf(c_85264,plain,
( ~ rline(sK7(sK3,sK2,sK1))
| ~ ron(sK2,sK7(sK3,sK2,sK1))
| ~ ron(sK1,sK7(sK3,sK2,sK1))
| ~ ron(sK3,sK7(sK3,sK2,sK1)) ),
inference(instantiation,[status(thm)],[c_46445]) ).
tcf(c_88936,plain,
( ( vangle(sK6,sK4,sK5) = vangle(sK3,sK1,sK2) )
| ( vangle(sK3,sK1,sK2) != vangle(sK6,sK4,sK5) )
| ( vangle(sK6,sK4,sK5) != vangle(sK6,sK4,sK5) ) ),
inference(instantiation,[status(thm)],[c_68980]) ).
tcf(c_99997,plain,
vangle(sK6,sK4,sK5) = vangle(sK6,sK4,sK5),
inference(instantiation,[status(thm)],[c_46469]) ).
tcf(c_99998,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_99997,c_88936,c_85264,c_82559,c_82421,c_82270,c_82160,c_71272,c_71271,c_71270,c_71210,c_70951,c_67873,c_46448,c_46438,c_46437,c_46436,c_46491,c_56,c_57,c_58,c_62,c_63,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO289+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.57 % Computer : n006.cluster.edu
% 0.10/5.57 % Model : x86_64 x86_64
% 0.10/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.57 % Memory : 8046.5625MB
% 0.10/5.57 % OS : Linux 6.8.0-71-generic
% 0.10/5.57 % CPULimit : 300
% 0.10/5.57 % WCLimit : 300
% 0.10/5.57 % DateTime : Wed Sep 23 11:49:37 UTC 2026
% 0.10/5.57 % CPUTime :
% 0.10/5.57 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.61 Running first-order theorem proving
% 0.15/5.61 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.62
% 0.15/5.62 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.62
% 0.15/5.63 % Detected problem language: tptp
% 0.15/5.64 % Proving...
% 60.28/17.64 % SZS status Started for theBenchmark.p
% 60.28/17.64 % SZS status Theorem for theBenchmark.p
% 60.28/17.64
% 60.28/17.64 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 60.28/17.64
% 60.28/17.64 % ------ iProver source info
% 60.28/17.64
% 60.28/17.64 % git: date: 2026-07-19 20:42:38 +0200
% 60.28/17.64 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 60.28/17.64 % git: non_committed_changes: false
% 60.28/17.64
% 60.28/17.64 % ------ Parsing...
% 60.28/17.64 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 60.28/17.64
% 60.28/17.64 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 60.28/17.64
% 60.28/17.64 % ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e %
% 60.28/17.64
% 60.28/17.64 % ------ Preprocessing... sf_s rm: 8 0s sf_e sf_s rm: 0 0s sf_e
% 60.28/17.64 % ------ Proving...
% 60.28/17.64 % ------ Problem Properties
% 60.28/17.64
% 60.28/17.64 %
% 60.28/17.64 % clauses 418
% 60.28/17.64 % conjectures 1
% 60.28/17.64 % EPR 63
% 60.28/17.64 % Horn 173
% 60.28/17.64 % unary 17
% 60.28/17.64 % binary 42
% 60.28/17.64 % lits 5356
% 60.28/17.64 % lits eq 2062
% 60.28/17.64 % fd_pure 0
% 60.28/17.64 % fd_pseudo 0
% 60.28/17.64 % fd_cond 0
% 60.28/17.64 % fd_pseudo_cond 214
% 60.28/17.64 % AC symbols 0
% 60.28/17.64
% 60.28/17.64 % ------ Input Options Time Limit: Unbounded
% 60.28/17.64
% 60.28/17.64
% 60.28/17.64 % ------
% 60.28/17.64 % Current options:
% 60.28/17.64 % ------
% 60.28/17.64
% 60.28/17.64
% 60.28/17.64 %
% 60.28/17.64
% 60.28/17.64 % ------ Proving...
% 60.28/17.64 %
% 60.28/17.64
% 60.28/17.64 % SZS status Theorem for theBenchmark.p
% 60.28/17.64
% 60.28/17.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 60.28/17.64
% 60.28/17.64
%------------------------------------------------------------------------------