%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO288+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 : n002.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 106.81s 15.46s
% Output : CNFRefutation 106.81s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f6ERROR: Could not build tree for root c_78480ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f163,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,[],[f4]) ).
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,X4,X5) = vangle(X0,X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f167,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,X4,X5) = vangle(X0,X1,X2) ),
inference(flattening,[],[f166]) ).
fof(f456,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)],[f163]) ).
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(sK8(X3,X4,X5))
& ron(X3,sK8(X3,X4,X5))
& ron(X4,sK8(X3,X4,X5))
& ron(X5,sK8(X3,X4,X5)) )
| vangle(X3,X4,X5) = vangle(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X6,sK8(X3,X4,X5))],[f167]) ).
fof(f608,plain,
vangle(vd1156,vd1157,vd1158) != vangle(vd1163,vd1164,vd1165),
inference(cnf_transformation,[],[f158]) ).
fof(f610,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f456]) ).
fof(f611,plain,
vd1156 = sK6,
inference(cnf_transformation,[],[f456]) ).
fof(f612,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f456]) ).
fof(f613,plain,
vd1157 = sK5,
inference(cnf_transformation,[],[f456]) ).
fof(f614,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f456]) ).
fof(f615,plain,
vd1158 = sK4,
inference(cnf_transformation,[],[f456]) ).
fof(f616,plain,
vd1156 != vd1157,
inference(cnf_transformation,[],[f456]) ).
fof(f617,plain,
vd1156 != vd1158,
inference(cnf_transformation,[],[f456]) ).
fof(f618,plain,
vd1157 != vd1158,
inference(cnf_transformation,[],[f456]) ).
fof(f619,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f456]) ).
fof(f620,plain,
vd1163 = sK3,
inference(cnf_transformation,[],[f456]) ).
fof(f621,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f456]) ).
fof(f622,plain,
vd1164 = sK2,
inference(cnf_transformation,[],[f456]) ).
fof(f623,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f456]) ).
fof(f624,plain,
vd1165 = sK1,
inference(cnf_transformation,[],[f456]) ).
fof(f625,plain,
vf(vd1156,vd1157) = vf(vd1163,vd1164),
inference(cnf_transformation,[],[f456]) ).
fof(f626,plain,
vf(vd1156,vd1158) = vf(vd1163,vd1165),
inference(cnf_transformation,[],[f456]) ).
fof(f627,plain,
vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
inference(cnf_transformation,[],[f456]) ).
fof(f628,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(vd1163,X0)
| ~ ron(vd1164,X0)
| ~ ron(vd1165,X0) ),
inference(cnf_transformation,[],[f456]) ).
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)
| rline(sK8(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X0,X1,X2) ),
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(X3,sK8(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X0,X1,X2) ),
inference(cnf_transformation,[],[f458]) ).
fof(f635,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,sK8(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X0,X1,X2) ),
inference(cnf_transformation,[],[f458]) ).
fof(f636,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,sK8(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X0,X1,X2) ),
inference(cnf_transformation,[],[f458]) ).
fof(f1034,plain,
vangle(sK6,sK5,sK4) != vangle(sK3,sK2,sK1),
inference(definition_unfolding,[],[f608,f611,f613,f615,f620,f622,f624]) ).
fof(f1036,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0) ),
inference(definition_unfolding,[],[f628,f624,f622,f620]) ).
fof(f1037,plain,
vangle(sK5,sK6,sK4) = vangle(sK2,sK3,sK1),
inference(definition_unfolding,[],[f627,f613,f611,f615,f622,f620,f624]) ).
fof(f1038,plain,
vf(sK6,sK4) = vf(sK3,sK1),
inference(definition_unfolding,[],[f626,f611,f615,f620,f624]) ).
fof(f1039,plain,
vf(sK6,sK5) = vf(sK3,sK2),
inference(definition_unfolding,[],[f625,f611,f613,f620,f622]) ).
fof(f1040,plain,
sK4 != sK5,
inference(definition_unfolding,[],[f618,f613,f615]) ).
fof(f1041,plain,
sK4 != sK6,
inference(definition_unfolding,[],[f617,f611,f615]) ).
fof(f1042,plain,
sK5 != sK6,
inference(definition_unfolding,[],[f616,f611,f613]) ).
fof(f1076,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,sK8(X3,X4,X7))
| vangle(X0,X1,X2) = vangle(X3,X4,X7) ),
inference(equality_resolution,[],[f636]) ).
fof(f1077,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,sK8(X3,X8,X7))
| vangle(X0,X1,X2) = vangle(X3,X8,X7) ),
inference(equality_resolution,[],[f1076]) ).
fof(f1078,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,sK8(X9,X8,X7))
| vangle(X0,X1,X2) = vangle(X9,X8,X7) ),
inference(equality_resolution,[],[f1077]) ).
fof(f1079,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,sK8(X9,X8,X7))
| vangle(X9,X8,X7) = vangle(X0,X1,X10) ),
inference(equality_resolution,[],[f1078]) ).
fof(f1080,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,sK8(X9,X8,X7))
| vangle(X9,X8,X7) = vangle(X0,X11,X10) ),
inference(equality_resolution,[],[f1079]) ).
fof(f1081,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,sK8(X9,X8,X7))
| vangle(X9,X8,X7) = vangle(X12,X11,X10) ),
inference(equality_resolution,[],[f1080]) ).
fof(f1082,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,sK8(X3,X4,X7))
| vangle(X0,X1,X2) = vangle(X3,X4,X7) ),
inference(equality_resolution,[],[f635]) ).
fof(f1083,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,sK8(X3,X8,X7))
| vangle(X0,X1,X2) = vangle(X3,X8,X7) ),
inference(equality_resolution,[],[f1082]) ).
fof(f1084,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,sK8(X9,X8,X7))
| vangle(X0,X1,X2) = vangle(X9,X8,X7) ),
inference(equality_resolution,[],[f1083]) ).
fof(f1085,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,sK8(X9,X8,X7))
| vangle(X9,X8,X7) = vangle(X0,X1,X10) ),
inference(equality_resolution,[],[f1084]) ).
fof(f1086,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,sK8(X9,X8,X7))
| vangle(X9,X8,X7) = vangle(X0,X11,X10) ),
inference(equality_resolution,[],[f1085]) ).
fof(f1087,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,sK8(X9,X8,X7))
| vangle(X9,X8,X7) = vangle(X12,X11,X10) ),
inference(equality_resolution,[],[f1086]) ).
fof(f1088,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,sK8(X3,X4,X7))
| vangle(X0,X1,X2) = vangle(X3,X4,X7) ),
inference(equality_resolution,[],[f634]) ).
fof(f1089,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,sK8(X3,X8,X7))
| vangle(X0,X1,X2) = vangle(X3,X8,X7) ),
inference(equality_resolution,[],[f1088]) ).
fof(f1090,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,sK8(X9,X8,X7))
| vangle(X0,X1,X2) = vangle(X9,X8,X7) ),
inference(equality_resolution,[],[f1089]) ).
fof(f1091,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,sK8(X9,X8,X7))
| vangle(X9,X8,X7) = vangle(X0,X1,X10) ),
inference(equality_resolution,[],[f1090]) ).
fof(f1092,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,sK8(X9,X8,X7))
| vangle(X9,X8,X7) = vangle(X0,X11,X10) ),
inference(equality_resolution,[],[f1091]) ).
fof(f1093,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,sK8(X9,X8,X7))
| vangle(X9,X8,X7) = vangle(X12,X11,X10) ),
inference(equality_resolution,[],[f1092]) ).
fof(f1094,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(sK8(X3,X4,X7))
| vangle(X0,X1,X2) = vangle(X3,X4,X7) ),
inference(equality_resolution,[],[f633]) ).
fof(f1095,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(sK8(X3,X8,X7))
| vangle(X0,X1,X2) = vangle(X3,X8,X7) ),
inference(equality_resolution,[],[f1094]) ).
fof(f1096,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(sK8(X9,X8,X7))
| vangle(X0,X1,X2) = vangle(X9,X8,X7) ),
inference(equality_resolution,[],[f1095]) ).
fof(f1097,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(sK8(X9,X8,X7))
| vangle(X9,X8,X7) = vangle(X0,X1,X10) ),
inference(equality_resolution,[],[f1096]) ).
fof(f1098,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(sK8(X9,X8,X7))
| vangle(X9,X8,X7) = vangle(X0,X11,X10) ),
inference(equality_resolution,[],[f1097]) ).
fof(f1099,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(sK8(X9,X8,X7))
| vangle(X9,X8,X7) = vangle(X12,X11,X10) ),
inference(equality_resolution,[],[f1098]) ).
tcf(c_49,negated_conjecture,
vangle(sK6,sK5,sK4) != vangle(sK3,sK2,sK1),
inference(cnf_transformation,[],[f1034]) ).
tcf(c_51,plain,
! [X0: $i] :
( ~ rline(X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0) ),
inference(cnf_transformation,[],[f1036]) ).
tcf(c_52,plain,
vangle(sK5,sK6,sK4) = vangle(sK2,sK3,sK1),
inference(cnf_transformation,[],[f1037]) ).
tcf(c_53,plain,
vf(sK6,sK4) = vf(sK3,sK1),
inference(cnf_transformation,[],[f1038]) ).
tcf(c_54,plain,
vf(sK6,sK5) = vf(sK3,sK2),
inference(cnf_transformation,[],[f1039]) ).
tcf(c_55,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f623]) ).
tcf(c_56,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f621]) ).
tcf(c_57,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f619]) ).
tcf(c_58,plain,
sK5 != sK4,
inference(cnf_transformation,[],[f1040]) ).
tcf(c_59,plain,
sK6 != sK4,
inference(cnf_transformation,[],[f1041]) ).
tcf(c_60,plain,
sK6 != sK5,
inference(cnf_transformation,[],[f1042]) ).
tcf(c_61,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f614]) ).
tcf(c_62,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f612]) ).
tcf(c_63,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f610]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ron(X2,sK8(X1,X0,X2))
| ( X4 = X5 )
| ( X3 = X5 )
| ( X3 = X4 )
| ( vangle(X1,X0,X2) = vangle(X4,X3,X5) )
| ~ 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,[],[f1081]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ron(X0,sK8(X1,X0,X2))
| ( X4 = X5 )
| ( X3 = X5 )
| ( X3 = X4 )
| ( vangle(X1,X0,X2) = vangle(X4,X3,X5) )
| ~ 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,[],[f1087]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ron(X1,sK8(X1,X0,X2))
| ( X4 = X5 )
| ( X3 = X5 )
| ( X3 = X4 )
| ( vangle(X1,X0,X2) = vangle(X4,X3,X5) )
| ~ 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,[],[f1093]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( rline(sK8(X1,X0,X2))
| ( X4 = X5 )
| ( X3 = X5 )
| ( X3 = X4 )
| ( vangle(X1,X0,X2) = vangle(X4,X3,X5) )
| ~ 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,[],[f1099]) ).
tcf(c_1090,plain,
! [X0_iProver_vg_3: iProver_vg_3,X1_iProver_vg_3: iProver_vg_3,X2_iProver_vg_3: iProver_vg_3,X3_iProver_vg_3: iProver_vg_3,X4_iProver_vg_3: iProver_vg_3,X5_iProver_vg_3: iProver_vg_3] :
( rline(sK8(X1_iProver_vg_3,X0_iProver_vg_3,X2_iProver_vg_3))
| ( X4_iProver_vg_3 = X5_iProver_vg_3 )
| ( X3_iProver_vg_3 = X5_iProver_vg_3 )
| ( X3_iProver_vg_3 = X4_iProver_vg_3 )
| ( vangle(X1_iProver_vg_3,X0_iProver_vg_3,X2_iProver_vg_3) = vangle(X4_iProver_vg_3,X3_iProver_vg_3,X5_iProver_vg_3) )
| ~ rpoint(X5_iProver_vg_3)
| ~ rpoint(X4_iProver_vg_3)
| ~ rpoint(X3_iProver_vg_3)
| ~ rpoint(X2_iProver_vg_3)
| ~ rpoint(X1_iProver_vg_3)
| ~ rpoint(X0_iProver_vg_3)
| ( vf(X1_iProver_vg_3,X2_iProver_vg_3) != vf(X4_iProver_vg_3,X5_iProver_vg_3) )
| ( vf(X1_iProver_vg_3,X0_iProver_vg_3) != vf(X4_iProver_vg_3,X3_iProver_vg_3) )
| ( vangle(X0_iProver_vg_3,X1_iProver_vg_3,X2_iProver_vg_3) != vangle(X3_iProver_vg_3,X4_iProver_vg_3,X5_iProver_vg_3) ) ),
inference(subtyping,[status(esa)],[c_71]) ).
tcf(c_1091,plain,
! [X0_iProver_vg_3: iProver_vg_3,X1_iProver_vg_3: iProver_vg_3,X2_iProver_vg_3: iProver_vg_3,X3_iProver_vg_3: iProver_vg_3,X4_iProver_vg_3: iProver_vg_3,X5_iProver_vg_3: iProver_vg_3] :
( ron(X1_iProver_vg_3,sK8(X1_iProver_vg_3,X0_iProver_vg_3,X2_iProver_vg_3))
| ( X4_iProver_vg_3 = X5_iProver_vg_3 )
| ( X3_iProver_vg_3 = X5_iProver_vg_3 )
| ( X3_iProver_vg_3 = X4_iProver_vg_3 )
| ( vangle(X1_iProver_vg_3,X0_iProver_vg_3,X2_iProver_vg_3) = vangle(X4_iProver_vg_3,X3_iProver_vg_3,X5_iProver_vg_3) )
| ~ rpoint(X5_iProver_vg_3)
| ~ rpoint(X4_iProver_vg_3)
| ~ rpoint(X3_iProver_vg_3)
| ~ rpoint(X2_iProver_vg_3)
| ~ rpoint(X1_iProver_vg_3)
| ~ rpoint(X0_iProver_vg_3)
| ( vf(X1_iProver_vg_3,X2_iProver_vg_3) != vf(X4_iProver_vg_3,X5_iProver_vg_3) )
| ( vf(X1_iProver_vg_3,X0_iProver_vg_3) != vf(X4_iProver_vg_3,X3_iProver_vg_3) )
| ( vangle(X0_iProver_vg_3,X1_iProver_vg_3,X2_iProver_vg_3) != vangle(X3_iProver_vg_3,X4_iProver_vg_3,X5_iProver_vg_3) ) ),
inference(subtyping,[status(esa)],[c_70]) ).
tcf(c_1092,plain,
! [X0_iProver_vg_3: iProver_vg_3,X1_iProver_vg_3: iProver_vg_3,X2_iProver_vg_3: iProver_vg_3,X3_iProver_vg_3: iProver_vg_3,X4_iProver_vg_3: iProver_vg_3,X5_iProver_vg_3: iProver_vg_3] :
( ron(X0_iProver_vg_3,sK8(X1_iProver_vg_3,X0_iProver_vg_3,X2_iProver_vg_3))
| ( X4_iProver_vg_3 = X5_iProver_vg_3 )
| ( X3_iProver_vg_3 = X5_iProver_vg_3 )
| ( X3_iProver_vg_3 = X4_iProver_vg_3 )
| ( vangle(X1_iProver_vg_3,X0_iProver_vg_3,X2_iProver_vg_3) = vangle(X4_iProver_vg_3,X3_iProver_vg_3,X5_iProver_vg_3) )
| ~ rpoint(X5_iProver_vg_3)
| ~ rpoint(X4_iProver_vg_3)
| ~ rpoint(X3_iProver_vg_3)
| ~ rpoint(X2_iProver_vg_3)
| ~ rpoint(X1_iProver_vg_3)
| ~ rpoint(X0_iProver_vg_3)
| ( vf(X1_iProver_vg_3,X2_iProver_vg_3) != vf(X4_iProver_vg_3,X5_iProver_vg_3) )
| ( vf(X1_iProver_vg_3,X0_iProver_vg_3) != vf(X4_iProver_vg_3,X3_iProver_vg_3) )
| ( vangle(X0_iProver_vg_3,X1_iProver_vg_3,X2_iProver_vg_3) != vangle(X3_iProver_vg_3,X4_iProver_vg_3,X5_iProver_vg_3) ) ),
inference(subtyping,[status(esa)],[c_69]) ).
tcf(c_1093,plain,
! [X0_iProver_vg_3: iProver_vg_3,X1_iProver_vg_3: iProver_vg_3,X2_iProver_vg_3: iProver_vg_3,X3_iProver_vg_3: iProver_vg_3,X4_iProver_vg_3: iProver_vg_3,X5_iProver_vg_3: iProver_vg_3] :
( ron(X2_iProver_vg_3,sK8(X1_iProver_vg_3,X0_iProver_vg_3,X2_iProver_vg_3))
| ( X4_iProver_vg_3 = X5_iProver_vg_3 )
| ( X3_iProver_vg_3 = X5_iProver_vg_3 )
| ( X3_iProver_vg_3 = X4_iProver_vg_3 )
| ( vangle(X1_iProver_vg_3,X0_iProver_vg_3,X2_iProver_vg_3) = vangle(X4_iProver_vg_3,X3_iProver_vg_3,X5_iProver_vg_3) )
| ~ rpoint(X5_iProver_vg_3)
| ~ rpoint(X4_iProver_vg_3)
| ~ rpoint(X3_iProver_vg_3)
| ~ rpoint(X2_iProver_vg_3)
| ~ rpoint(X1_iProver_vg_3)
| ~ rpoint(X0_iProver_vg_3)
| ( vf(X1_iProver_vg_3,X2_iProver_vg_3) != vf(X4_iProver_vg_3,X5_iProver_vg_3) )
| ( vf(X1_iProver_vg_3,X0_iProver_vg_3) != vf(X4_iProver_vg_3,X3_iProver_vg_3) )
| ( vangle(X0_iProver_vg_3,X1_iProver_vg_3,X2_iProver_vg_3) != vangle(X3_iProver_vg_3,X4_iProver_vg_3,X5_iProver_vg_3) ) ),
inference(subtyping,[status(esa)],[c_68]) ).
tcf(c_1101,plain,
sK6 != sK5,
inference(subtyping,[status(esa)],[c_60]) ).
tcf(c_1102,plain,
sK6 != sK4,
inference(subtyping,[status(esa)],[c_59]) ).
tcf(c_1103,plain,
sK5 != sK4,
inference(subtyping,[status(esa)],[c_58]) ).
tcf(c_1107,plain,
vf(sK6,sK5) = vf(sK3,sK2),
inference(subtyping,[status(esa)],[c_54]) ).
tcf(c_1108,plain,
vf(sK6,sK4) = vf(sK3,sK1),
inference(subtyping,[status(esa)],[c_53]) ).
tcf(c_1109,plain,
vangle(sK5,sK6,sK4) = vangle(sK2,sK3,sK1),
inference(subtyping,[status(esa)],[c_52]) ).
tcf(c_1110,plain,
! [X0_iProver_rcenter_2: iProver_rcenter_2] :
( ~ rline(X0_iProver_rcenter_2)
| ~ ron(sK1,X0_iProver_rcenter_2)
| ~ ron(sK2,X0_iProver_rcenter_2)
| ~ ron(sK3,X0_iProver_rcenter_2) ),
inference(subtyping,[status(esa)],[c_51]) ).
tcf(c_1112,negated_conjecture,
vangle(sK6,sK5,sK4) != vangle(sK3,sK2,sK1),
inference(subtyping,[status(esa)],[c_49]) ).
tcf(c_1114,plain,
! [X0_iProver_vg_3: iProver_vg_3] : X0_iProver_vg_3 = X0_iProver_vg_3,
theory(equality) ).
tcf(c_1115,plain,
! [X0_iProver_vg_0: iProver_vg_0] : X0_iProver_vg_0 = X0_iProver_vg_0,
theory(equality) ).
tcf(c_1117,plain,
! [X0_iProver_vg_3: iProver_vg_3,X1_iProver_vg_3: iProver_vg_3,X2_iProver_vg_3: iProver_vg_3] :
( ( X2_iProver_vg_3 = X0_iProver_vg_3 )
| ( X2_iProver_vg_3 != X1_iProver_vg_3 )
| ( X0_iProver_vg_3 != X1_iProver_vg_3 ) ),
theory(equality) ).
tcf(c_1118,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_1321,plain,
! [X0_iProver_vg_3: iProver_vg_3] :
( ( sK6 = sK5 )
| ( sK5 != X0_iProver_vg_3 )
| ( sK6 != X0_iProver_vg_3 ) ),
inference(instantiation,[status(thm)],[c_1117]) ).
tcf(c_1877,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_1118,c_1115]) ).
tcf(c_2287,plain,
vf(sK3,sK2) = vf(sK6,sK5),
inference(resolution,[status(thm)],[c_1877,c_1107]) ).
tcf(c_2288,plain,
vf(sK3,sK1) = vf(sK6,sK4),
inference(resolution,[status(thm)],[c_1877,c_1108]) ).
tcf(c_2289,plain,
vangle(sK2,sK3,sK1) = vangle(sK5,sK6,sK4),
inference(resolution,[status(thm)],[c_1877,c_1109]) ).
tcf(c_3682,plain,
sK6 = sK6,
inference(instantiation,[status(thm)],[c_1114]) ).
tcf(c_3903,plain,
( ( sK6 = sK5 )
| ( sK5 != sK6 )
| ( sK6 != sK6 ) ),
inference(instantiation,[status(thm)],[c_1321]) ).
tcf(c_37595,plain,
( ~ rline(sK8(sK3,sK2,sK1))
| ~ ron(sK1,sK8(sK3,sK2,sK1))
| ~ ron(sK2,sK8(sK3,sK2,sK1))
| ~ ron(sK3,sK8(sK3,sK2,sK1)) ),
inference(instantiation,[status(thm)],[c_1110]) ).
tcf(c_56152,plain,
( rline(sK8(sK3,sK2,sK1))
| ( sK5 = sK4 )
| ( sK5 = sK6 )
| ( sK6 = sK4 )
| ( vangle(sK3,sK2,sK1) = vangle(sK6,sK5,sK4) )
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ( vf(sK3,sK1) != vf(sK6,sK4) )
| ( vf(sK3,sK2) != vf(sK6,sK5) ) ),
inference(resolution,[status(thm)],[c_1090,c_2289]) ).
tcf(c_59521,plain,
( ron(sK3,sK8(sK3,sK2,sK1))
| ( sK5 = sK4 )
| ( sK5 = sK6 )
| ( sK6 = sK4 )
| ( vangle(sK3,sK2,sK1) = vangle(sK6,sK5,sK4) )
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ( vf(sK3,sK1) != vf(sK6,sK4) )
| ( vf(sK3,sK2) != vf(sK6,sK5) ) ),
inference(resolution,[status(thm)],[c_1091,c_2289]) ).
tcf(c_59834,plain,
( ron(sK2,sK8(sK3,sK2,sK1))
| ( sK5 = sK4 )
| ( sK5 = sK6 )
| ( sK6 = sK4 )
| ( vangle(sK3,sK2,sK1) = vangle(sK6,sK5,sK4) )
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ( vf(sK3,sK1) != vf(sK6,sK4) )
| ( vf(sK3,sK2) != vf(sK6,sK5) ) ),
inference(resolution,[status(thm)],[c_1092,c_2289]) ).
tcf(c_60175,plain,
( ron(sK1,sK8(sK3,sK2,sK1))
| ( sK5 = sK4 )
| ( sK5 = sK6 )
| ( sK6 = sK4 )
| ( vangle(sK3,sK2,sK1) = vangle(sK6,sK5,sK4) )
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ( vf(sK3,sK1) != vf(sK6,sK4) )
| ( vf(sK3,sK2) != vf(sK6,sK5) ) ),
inference(resolution,[status(thm)],[c_1093,c_2289]) ).
tcf(c_67461,plain,
! [X0_iProver_vg_0: iProver_vg_0] :
( ( vangle(sK6,sK5,sK4) = vangle(sK3,sK2,sK1) )
| ( vangle(sK3,sK2,sK1) != X0_iProver_vg_0 )
| ( vangle(sK6,sK5,sK4) != X0_iProver_vg_0 ) ),
inference(instantiation,[status(thm)],[c_1118]) ).
tcf(c_68692,plain,
! [X0_iProver_vg_3: iProver_vg_3,X1_iProver_vg_3: iProver_vg_3,X2_iProver_vg_3: iProver_vg_3] :
( ( vangle(sK6,sK5,sK4) = vangle(sK3,sK2,sK1) )
| ( vangle(sK3,sK2,sK1) != vangle(X0_iProver_vg_3,X1_iProver_vg_3,X2_iProver_vg_3) )
| ( vangle(sK6,sK5,sK4) != vangle(X0_iProver_vg_3,X1_iProver_vg_3,X2_iProver_vg_3) ) ),
inference(instantiation,[status(thm)],[c_67461]) ).
tcf(c_74997,plain,
! [X0_iProver_vg_3: iProver_vg_3] :
( ( vangle(sK6,sK5,sK4) = vangle(sK3,sK2,sK1) )
| ( vangle(sK3,sK2,sK1) != vangle(sK6,sK5,X0_iProver_vg_3) )
| ( vangle(sK6,sK5,sK4) != vangle(sK6,sK5,X0_iProver_vg_3) ) ),
inference(instantiation,[status(thm)],[c_68692]) ).
tcf(c_74998,plain,
( ( vangle(sK6,sK5,sK4) = vangle(sK3,sK2,sK1) )
| ( vangle(sK3,sK2,sK1) != vangle(sK6,sK5,sK4) )
| ( vangle(sK6,sK5,sK4) != vangle(sK6,sK5,sK4) ) ),
inference(instantiation,[status(thm)],[c_74997]) ).
tcf(c_78479,plain,
vangle(sK6,sK5,sK4) = vangle(sK6,sK5,sK4),
inference(instantiation,[status(thm)],[c_1115]) ).
tcf(c_78480,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_78479,c_74998,c_60175,c_59834,c_59521,c_56152,c_37595,c_3903,c_3682,c_2288,c_2287,c_1112,c_1103,c_1102,c_1101,c_55,c_56,c_57,c_61,c_62,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO288+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 11:52:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 106.81/15.46 % SZS status Started for theBenchmark.p
% 106.81/15.46 % SZS status Theorem for theBenchmark.p
% 106.81/15.46
% 106.81/15.46 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 106.81/15.46
% 106.81/15.46 % ------ iProver source info
% 106.81/15.46
% 106.81/15.46 % git: date: 2026-07-19 20:42:38 +0200
% 106.81/15.46 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 106.81/15.46 % git: non_committed_changes: false
% 106.81/15.46
% 106.81/15.46 % ------ Parsing...
% 106.81/15.46 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 106.81/15.46
% 106.81/15.46 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 106.81/15.46
% 106.81/15.46 % ------ Preprocessing...%
% 106.81/15.46
% 106.81/15.46 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 106.81/15.46 % ------ Proving...
% 106.81/15.46 % ------ Problem Properties
% 106.81/15.46
% 106.81/15.46 %
% 106.81/15.46 % clauses 407
% 106.81/15.46 % conjectures 1
% 106.81/15.46 % EPR 53
% 106.81/15.46 % Horn 168
% 106.81/15.46 % unary 16
% 106.81/15.46 % binary 32
% 106.81/15.46 % lits 5341
% 106.81/15.46 % lits eq 2061
% 106.81/15.46 % fd_pure 0
% 106.81/15.46 % fd_pseudo 0
% 106.81/15.46 % fd_cond 0
% 106.81/15.46 % fd_pseudo_cond 214
% 106.81/15.46 % AC symbols 0
% 106.81/15.46
% 106.81/15.46 % ------ Input Options Time Limit: Unbounded
% 106.81/15.46
% 106.81/15.46
% 106.81/15.46 % ------
% 106.81/15.46 % Current options:
% 106.81/15.46 % ------
% 106.81/15.46
% 106.81/15.46
% 106.81/15.46 %
% 106.81/15.46
% 106.81/15.46 % ------ Proving...
% 106.81/15.46 %
% 106.81/15.46
% 106.81/15.46 % SZS status Theorem for theBenchmark.p
% 106.81/15.46
% 106.81/15.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 106.81/15.47
% 106.81/15.47
%------------------------------------------------------------------------------