%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO308+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.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 01:20:56 PM UTC 2026
% Result : Theorem 17.16s 4.62s
% Output : CNFRefutation 17.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f8ERROR: Could not build tree for root c_56464ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
~ rR(vd1287,vd1288,vd1299),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(356))') ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ! [X13] :
( ~ rpoint(X13)
| X0 != X13 )
| ! [X12] :
( ~ rpoint(X12)
| X1 != X12 )
| ! [X11] :
( ~ rpoint(X11)
| X2 != X11 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X9] :
( ~ rpoint(X9)
| X4 != X9 )
| ! [X8] :
( ~ rline(X8)
| X5 != X8 )
| ! [X7] :
( ~ rline(X7)
| X6 != X7 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| rR(X0,X1,X3)
| rR(X0,X2,X4)
| vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
inference(ennf_transformation,[],[f10]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ! [X13] :
( ~ rpoint(X13)
| X0 != X13 )
| ! [X12] :
( ~ rpoint(X12)
| X1 != X12 )
| ! [X11] :
( ~ rpoint(X11)
| X2 != X11 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X9] :
( ~ rpoint(X9)
| X4 != X9 )
| ! [X8] :
( ~ rline(X8)
| X5 != X8 )
| ! [X7] :
( ~ rline(X7)
| X6 != X7 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| rR(X0,X1,X3)
| rR(X0,X2,X4)
| vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
inference(flattening,[],[f154]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X3] :
( ~ rpoint(X3)
| X2 != X3 )
| ~ rR(X1,X0,X2)
| ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f159,plain,
! [X0,X1,X2] :
( ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X3] :
( ~ rpoint(X3)
| X2 != X3 )
| ~ rR(X1,X0,X2)
| ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) ) ),
inference(flattening,[],[f158]) ).
fof(f168,plain,
! [X0,X1,X2,X3,X4] :
( ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4
| ron(X1,X3) ),
inference(ennf_transformation,[],[f37]) ).
fof(f169,plain,
! [X0,X1,X2,X3,X4] :
( ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4
| ron(X1,X3) ),
inference(flattening,[],[f168]) ).
fof(f170,plain,
! [X0,X1,X2,X3,X4] :
( ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4
| ron(X2,X3) ),
inference(ennf_transformation,[],[f38]) ).
fof(f171,plain,
! [X0,X1,X2,X3,X4] :
( ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4
| ron(X2,X3) ),
inference(flattening,[],[f170]) ).
fof(f192,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f193,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
inference(flattening,[],[f192]) ).
fof(f200,plain,
! [X0,X1,X2,X3] :
( ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X4] :
( ~ rpoint(X4)
| X3 != X4 )
| ~ rR(X1,X0,X2)
| ~ rR(X3,X0,X1)
| rR(X3,X0,X2) ),
inference(ennf_transformation,[],[f59]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X4] :
( ~ rpoint(X4)
| X3 != X4 )
| ~ rR(X1,X0,X2)
| ~ rR(X3,X0,X1)
| rR(X3,X0,X2) ),
inference(flattening,[],[f200]) ).
fof(f366,plain,
( rpoint(sK3)
& vd1287 = sK3
& rpoint(sK2)
& vd1288 = sK2
& rpoint(sK1)
& vd1289 = sK1
& vd1287 != vd1288
& vd1287 != vd1289
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f9]) ).
fof(f381,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ( ( vf(X0,X1) != v0
| X0 = X1 )
& ( X0 != X1
| vf(X0,X1) = v0 ) ) ),
inference(nnf_transformation,[],[f193]) ).
fof(f442,plain,
vangle(vd1288,vd1287,vd1289) != vangle(vd1299,vd1287,vd1289),
inference(cnf_transformation,[],[f149]) ).
fof(f445,plain,
~ rR(vd1287,vd1288,vd1299),
inference(cnf_transformation,[],[f5]) ).
fof(f448,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f8]) ).
fof(f452,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f366]) ).
fof(f453,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f366]) ).
fof(f454,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f366]) ).
fof(f455,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f366]) ).
fof(f456,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f366]) ).
fof(f457,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f366]) ).
fof(f462,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ rpoint(X13)
| X0 != X13
| ~ rpoint(X12)
| X1 != X12
| ~ rpoint(X11)
| X2 != X11
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X9)
| X4 != X9
| ~ rline(X8)
| X5 != X8
| ~ rline(X7)
| X6 != X7
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| rR(X0,X1,X3)
| rR(X0,X2,X4)
| vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
inference(cnf_transformation,[],[f155]) ).
fof(f464,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| ~ rR(X1,X0,X2)
| rR(X1,X2,X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f469,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f14]) ).
fof(f470,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f15]) ).
fof(f474,plain,
vd1287 != vd1289,
inference(cnf_transformation,[],[f19]) ).
fof(f475,plain,
vd1287 != vd1299,
inference(cnf_transformation,[],[f20]) ).
fof(f479,plain,
vd1288 != vd1287,
inference(cnf_transformation,[],[f24]) ).
fof(f484,plain,
rline(vd1297),
inference(cnf_transformation,[],[f29]) ).
fof(f487,plain,
rline(vd1295),
inference(cnf_transformation,[],[f32]) ).
fof(f493,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4
| ron(X1,X3) ),
inference(cnf_transformation,[],[f169]) ).
fof(f494,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4
| ron(X2,X3) ),
inference(cnf_transformation,[],[f171]) ).
fof(f495,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f39]) ).
fof(f496,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f40]) ).
fof(f498,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f42]) ).
fof(f499,plain,
ron(vd1299,vd1295),
inference(cnf_transformation,[],[f43]) ).
fof(f500,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f44]) ).
fof(f529,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| vf(X0,X1) != v0
| X0 = X1 ),
inference(cnf_transformation,[],[f381]) ).
fof(f534,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ rR(X3,X0,X1)
| rR(X3,X0,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f543,plain,
v0 = vd684,
inference(cnf_transformation,[],[f68]) ).
fof(f733,plain,
vangle(sK2,sK3,sK1) != vangle(vd1300,sK3,sK1),
inference(definition_unfolding,[],[f442,f455,f453,f457,f469,f453,f457]) ).
fof(f736,plain,
~ rR(sK3,sK2,vd1300),
inference(definition_unfolding,[],[f445,f453,f455,f469]) ).
fof(f739,plain,
rR(sK2,sK3,vd1300),
inference(definition_unfolding,[],[f448,f455,f453,f469]) ).
fof(f748,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f474,f453,f457]) ).
fof(f749,plain,
vd1300 != sK3,
inference(definition_unfolding,[],[f475,f453,f469]) ).
fof(f752,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f479,f455,f453]) ).
fof(f759,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f495,f457]) ).
fof(f760,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f496,f455]) ).
fof(f761,plain,
ron(sK3,vd1297),
inference(definition_unfolding,[],[f498,f453]) ).
fof(f762,plain,
ron(vd1300,vd1295),
inference(definition_unfolding,[],[f499,f469]) ).
fof(f763,plain,
ron(sK3,vd1295),
inference(definition_unfolding,[],[f500,f453]) ).
fof(f768,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| vf(X0,X1) != vd684
| X0 = X1 ),
inference(definition_unfolding,[],[f529,f543]) ).
fof(f773,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12,X13] :
( ~ rpoint(X13)
| X0 != X13
| ~ rpoint(X12)
| X1 != X12
| ~ rpoint(X11)
| X2 != X11
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X9)
| X4 != X9
| ~ rline(X8)
| X5 != X8
| ~ rline(X7)
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X7)
| ~ ron(X4,X7)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| rR(X0,X1,X3)
| rR(X0,X2,X4)
| vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
inference(equality_resolution,[],[f462]) ).
fof(f774,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12,X13] :
( ~ rpoint(X13)
| X0 != X13
| ~ rpoint(X12)
| X1 != X12
| ~ rpoint(X11)
| X2 != X11
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X9)
| X4 != X9
| ~ rline(X8)
| ~ rline(X7)
| ~ ron(X0,X8)
| ~ ron(X1,X8)
| ~ ron(X3,X8)
| ~ ron(X2,X7)
| ~ ron(X4,X7)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| rR(X0,X1,X3)
| rR(X0,X2,X4)
| vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
inference(equality_resolution,[],[f773]) ).
fof(f775,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( ~ rpoint(X13)
| X0 != X13
| ~ rpoint(X12)
| X1 != X12
| ~ rpoint(X11)
| X2 != X11
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X9)
| ~ rline(X8)
| ~ rline(X7)
| ~ ron(X0,X8)
| ~ ron(X1,X8)
| ~ ron(X3,X8)
| ~ ron(X2,X7)
| ~ ron(X9,X7)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X9
| rR(X0,X1,X3)
| rR(X0,X2,X9)
| vangle(X1,X0,X2) = vangle(X3,X0,X9) ),
inference(equality_resolution,[],[f774]) ).
fof(f776,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( ~ rpoint(X13)
| X0 != X13
| ~ rpoint(X12)
| X1 != X12
| ~ rpoint(X11)
| X2 != X11
| ~ rpoint(X10)
| ~ rpoint(X9)
| ~ rline(X8)
| ~ rline(X7)
| ~ ron(X0,X8)
| ~ ron(X1,X8)
| ~ ron(X10,X8)
| ~ ron(X2,X7)
| ~ ron(X9,X7)
| X0 = X1
| X0 = X2
| X0 = X10
| X0 = X9
| rR(X0,X1,X10)
| rR(X0,X2,X9)
| vangle(X1,X0,X2) = vangle(X10,X0,X9) ),
inference(equality_resolution,[],[f775]) ).
fof(f777,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( ~ rpoint(X13)
| X0 != X13
| ~ rpoint(X12)
| X1 != X12
| ~ rpoint(X11)
| ~ rpoint(X10)
| ~ rpoint(X9)
| ~ rline(X8)
| ~ rline(X7)
| ~ ron(X0,X8)
| ~ ron(X1,X8)
| ~ ron(X10,X8)
| ~ ron(X11,X7)
| ~ ron(X9,X7)
| X0 = X1
| X0 = X11
| X0 = X10
| X0 = X9
| rR(X0,X1,X10)
| rR(X0,X11,X9)
| vangle(X10,X0,X9) = vangle(X1,X0,X11) ),
inference(equality_resolution,[],[f776]) ).
fof(f778,plain,
! [X10,X0,X11,X8,X9,X7,X12,X13] :
( ~ rpoint(X13)
| X0 != X13
| ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| ~ rpoint(X9)
| ~ rline(X8)
| ~ rline(X7)
| ~ ron(X0,X8)
| ~ ron(X12,X8)
| ~ ron(X10,X8)
| ~ ron(X11,X7)
| ~ ron(X9,X7)
| X0 = X12
| X0 = X11
| X0 = X10
| X0 = X9
| rR(X0,X12,X10)
| rR(X0,X11,X9)
| vangle(X10,X0,X9) = vangle(X12,X0,X11) ),
inference(equality_resolution,[],[f777]) ).
fof(f779,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ rpoint(X13)
| ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| ~ rpoint(X9)
| ~ rline(X8)
| ~ rline(X7)
| ~ ron(X13,X8)
| ~ ron(X12,X8)
| ~ ron(X10,X8)
| ~ ron(X11,X7)
| ~ ron(X9,X7)
| X12 = X13
| X11 = X13
| X10 = X13
| X9 = X13
| rR(X13,X12,X10)
| rR(X13,X11,X9)
| vangle(X10,X13,X9) = vangle(X12,X13,X11) ),
inference(equality_resolution,[],[f778]) ).
fof(f795,plain,
! [X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| ~ rR(X1,X0,X3)
| rR(X1,X3,X0) ),
inference(equality_resolution,[],[f464]) ).
fof(f796,plain,
! [X3,X0,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X4,X0,X3)
| rR(X4,X3,X0) ),
inference(equality_resolution,[],[f795]) ).
fof(f797,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X4,X5,X3)
| rR(X4,X3,X5) ),
inference(equality_resolution,[],[f796]) ).
fof(f820,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X4)
| ~ ron(X2,X4)
| ron(X1,X4) ),
inference(equality_resolution,[],[f493]) ).
fof(f821,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| ~ rline(X4)
| ~ rR(X1,X0,X5)
| ~ ron(X0,X4)
| ~ ron(X5,X4)
| ron(X1,X4) ),
inference(equality_resolution,[],[f820]) ).
fof(f822,plain,
! [X0,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ rline(X4)
| ~ rR(X6,X0,X5)
| ~ ron(X0,X4)
| ~ ron(X5,X4)
| ron(X6,X4) ),
inference(equality_resolution,[],[f821]) ).
fof(f823,plain,
! [X6,X7,X4,X5] :
( ~ rpoint(X7)
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ rline(X4)
| ~ rR(X6,X7,X5)
| ~ ron(X7,X4)
| ~ ron(X5,X4)
| ron(X6,X4) ),
inference(equality_resolution,[],[f822]) ).
fof(f824,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| ron(X2,X4) ),
inference(equality_resolution,[],[f494]) ).
fof(f825,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| ~ rline(X4)
| ~ rR(X1,X0,X5)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| ron(X5,X4) ),
inference(equality_resolution,[],[f824]) ).
fof(f826,plain,
! [X0,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ rline(X4)
| ~ rR(X6,X0,X5)
| ~ ron(X0,X4)
| ~ ron(X6,X4)
| ron(X5,X4) ),
inference(equality_resolution,[],[f825]) ).
fof(f827,plain,
! [X6,X7,X4,X5] :
( ~ rpoint(X7)
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ rline(X4)
| ~ rR(X6,X7,X5)
| ~ ron(X7,X4)
| ~ ron(X6,X4)
| ron(X5,X4) ),
inference(equality_resolution,[],[f826]) ).
fof(f952,plain,
! [X2,X3,X0] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| vf(X0,X2) != vd684
| X0 = X2 ),
inference(equality_resolution,[],[f768]) ).
fof(f953,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vd684 != vf(X3,X2)
| X2 = X3 ),
inference(equality_resolution,[],[f952]) ).
fof(f963,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X4)
| ~ rR(X1,X0,X2)
| ~ rR(X4,X0,X1)
| rR(X4,X0,X2) ),
inference(equality_resolution,[],[f534]) ).
fof(f964,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rR(X1,X0,X5)
| ~ rR(X4,X0,X1)
| rR(X4,X0,X5) ),
inference(equality_resolution,[],[f963]) ).
fof(f965,plain,
! [X0,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rR(X6,X0,X5)
| ~ rR(X4,X0,X6)
| rR(X4,X0,X5) ),
inference(equality_resolution,[],[f964]) ).
fof(f966,plain,
! [X6,X7,X4,X5] :
( ~ rpoint(X7)
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rR(X6,X7,X5)
| ~ rR(X4,X7,X6)
| rR(X4,X7,X5) ),
inference(equality_resolution,[],[f965]) ).
tcf(c_49,negated_conjecture,
vangle(sK2,sK3,sK1) != vangle(vd1300,sK3,sK1),
inference(cnf_transformation,[],[f733]) ).
tcf(c_52,plain,
~ rR(sK3,sK2,vd1300),
inference(cnf_transformation,[],[f736]) ).
tcf(c_57,plain,
rR(sK2,sK3,vd1300),
inference(cnf_transformation,[],[f739]) ).
tcf(c_62,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f456]) ).
tcf(c_63,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f454]) ).
tcf(c_64,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f452]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( rR(X2,X6,X3)
| rR(X2,X5,X0)
| ( X2 = X6 )
| ( X2 = X5 )
| ( X2 = X3 )
| ( X0 = X2 )
| ( vangle(X0,X2,X3) = vangle(X5,X2,X6) )
| ~ rline(X4)
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X6,X4)
| ~ ron(X5,X1)
| ~ ron(X3,X4)
| ~ ron(X2,X1)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[],[f779]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X0,X1,X1) ),
inference(cnf_transformation,[],[f1543]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( rR(X0,X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[],[f797]) ).
tcf(c_72,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f470]) ).
tcf(c_76,plain,
sK3 != sK1,
inference(cnf_transformation,[],[f748]) ).
tcf(c_77,plain,
sK3 != vd1300,
inference(cnf_transformation,[],[f749]) ).
tcf(c_81,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f752]) ).
tcf(c_86,plain,
rline(vd1297),
inference(cnf_transformation,[],[f484]) ).
tcf(c_89,plain,
rline(vd1295),
inference(cnf_transformation,[],[f487]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ron(X0,X3)
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[],[f823]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ron(X2,X3)
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[],[f827]) ).
tcf(c_97,plain,
ron(sK1,vd1297),
inference(cnf_transformation,[],[f759]) ).
tcf(c_98,plain,
ron(sK2,vd1295),
inference(cnf_transformation,[],[f760]) ).
tcf(c_100,plain,
ron(sK3,vd1297),
inference(cnf_transformation,[],[f761]) ).
tcf(c_101,plain,
ron(vd1300,vd1295),
inference(cnf_transformation,[],[f762]) ).
tcf(c_102,plain,
ron(sK3,vd1295),
inference(cnf_transformation,[],[f763]) ).
tcf(c_131,plain,
! [X0: $i] :
( ( vf(X0,X0) = vd684 )
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f1545]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ rpoint(X1)
| ~ rpoint(X0)
| ( vf(X0,X1) != vd684 ) ),
inference(cnf_transformation,[],[f953]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( rR(X3,X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X3,X1,X0)
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[],[f966]) ).
tcf(c_10076,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] :
( rR(X3_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1)
| ~ rpoint(X3_iProver_rpoint_1)
| ~ rpoint(X2_iProver_rpoint_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ rR(X3_iProver_rpoint_1,X1_iProver_rpoint_1,X0_iProver_rpoint_1)
| ~ rR(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) ),
inference(subtyping,[status(esa)],[c_136]) ).
tcf(c_10080,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( ( X0_iProver_rpoint_1 = X1_iProver_rpoint_1 )
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ( vf(X0_iProver_rpoint_1,X1_iProver_rpoint_1) != vd684 ) ),
inference(subtyping,[status(esa)],[c_132]) ).
tcf(c_10081,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ( vf(X0_iProver_rpoint_1,X0_iProver_rpoint_1) = vd684 )
| ~ rpoint(X0_iProver_rpoint_1) ),
inference(subtyping,[status(esa)],[c_131]) ).
tcf(c_10110,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1] :
( ron(X2_iProver_rpoint_1,X0_iProver_rline_1)
| ~ rline(X0_iProver_rline_1)
| ~ rpoint(X2_iProver_rpoint_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ ron(X1_iProver_rpoint_1,X0_iProver_rline_1)
| ~ ron(X0_iProver_rpoint_1,X0_iProver_rline_1)
| ~ rR(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) ),
inference(subtyping,[status(esa)],[c_96]) ).
tcf(c_10111,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1] :
( ron(X0_iProver_rpoint_1,X0_iProver_rline_1)
| ~ rline(X0_iProver_rline_1)
| ~ rpoint(X2_iProver_rpoint_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ ron(X2_iProver_rpoint_1,X0_iProver_rline_1)
| ~ ron(X1_iProver_rpoint_1,X0_iProver_rline_1)
| ~ rR(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) ),
inference(subtyping,[status(esa)],[c_95]) ).
tcf(c_10129,plain,
sK3 != vd1300,
inference(subtyping,[status(esa)],[c_77]) ).
tcf(c_10132,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1] :
( rR(X0_iProver_rpoint_1,X2_iProver_rpoint_1,X1_iProver_rpoint_1)
| ~ rpoint(X2_iProver_rpoint_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ rR(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) ),
inference(subtyping,[status(esa)],[c_70]) ).
tcf(c_10134,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ rR(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X1_iProver_rpoint_1) ),
inference(subtyping,[status(esa)],[c_68]) ).
tcf(c_10137,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1,X1_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rline_1: iProver_rline_1,X2_iProver_rpoint_1: iProver_rpoint_1,X3_iProver_rpoint_1: iProver_rpoint_1,X4_iProver_rpoint_1: iProver_rpoint_1] :
( rR(X0_iProver_rpoint_1,X3_iProver_rpoint_1,X4_iProver_rpoint_1)
| rR(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1)
| ( X2_iProver_rpoint_1 = X0_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 = X4_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 = X3_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 = X1_iProver_rpoint_1 )
| ( vangle(X2_iProver_rpoint_1,X0_iProver_rpoint_1,X4_iProver_rpoint_1) = vangle(X1_iProver_rpoint_1,X0_iProver_rpoint_1,X3_iProver_rpoint_1) )
| ~ rline(X1_iProver_rline_1)
| ~ rline(X0_iProver_rline_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)
| ~ ron(X4_iProver_rpoint_1,X1_iProver_rline_1)
| ~ ron(X3_iProver_rpoint_1,X1_iProver_rline_1)
| ~ ron(X2_iProver_rpoint_1,X0_iProver_rline_1)
| ~ ron(X1_iProver_rpoint_1,X0_iProver_rline_1)
| ~ ron(X0_iProver_rpoint_1,X0_iProver_rline_1) ),
inference(subtyping,[status(esa)],[c_65]) ).
tcf(c_10139,plain,
rpoint(sK2),
inference(subtyping,[status(esa)],[c_63]) ).
tcf(c_10141,plain,
sK2 != sK3,
inference(subtyping,[status(esa)],[c_81]) ).
tcf(c_10142,plain,
sK3 != sK1,
inference(subtyping,[status(esa)],[c_76]) ).
tcf(c_10145,plain,
rR(sK2,sK3,vd1300),
inference(subtyping,[status(esa)],[c_57]) ).
tcf(c_10153,negated_conjecture,
vangle(sK2,sK3,sK1) != vangle(vd1300,sK3,sK1),
inference(subtyping,[status(esa)],[c_49]) ).
tcf(c_10172,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] : X0_iProver_rpoint_1 = X0_iProver_rpoint_1,
theory(equality) ).
tcf(c_10175,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_10177,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_10178,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] :
( ( vangle(X0_iProver_rpoint_1,X2_iProver_rpoint_1,X4_iProver_rpoint_1) = vangle(X1_iProver_rpoint_1,X3_iProver_rpoint_1,X5_iProver_rpoint_1) )
| ( X4_iProver_rpoint_1 != X5_iProver_rpoint_1 )
| ( X2_iProver_rpoint_1 != X3_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 != X1_iProver_rpoint_1 ) ),
theory(equality) ).
tcf(c_10196,plain,
sK3 = sK3,
inference(instantiation,[status(thm)],[c_10172]) ).
tcf(c_17223,plain,
! [X0_iProver_rline_1: iProver_rline_1,X1_iProver_rline_1: iProver_rline_1] :
( rR(sK3,vd1300,sK2)
| rR(sK3,sK1,sK1)
| ( sK3 = vd1300 )
| ( sK3 = sK1 )
| ( sK2 = sK3 )
| ( vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,sK1) )
| ~ rpoint(vd1300)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rline(X1_iProver_rline_1)
| ~ rline(X0_iProver_rline_1)
| ~ ron(vd1300,X0_iProver_rline_1)
| ~ ron(sK1,X1_iProver_rline_1)
| ~ ron(sK3,X0_iProver_rline_1)
| ~ ron(sK2,X0_iProver_rline_1) ),
inference(instantiation,[status(thm)],[c_10137]) ).
tcf(c_17225,plain,
! [X0_iProver_vg_0: iProver_vg_0] :
( ( vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,sK1) )
| ( vangle(vd1300,sK3,sK1) != X0_iProver_vg_0 )
| ( vangle(sK2,sK3,sK1) != X0_iProver_vg_0 ) ),
inference(instantiation,[status(thm)],[c_10177]) ).
tcf(c_17228,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1] :
( ( vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,sK1) )
| ( vangle(vd1300,sK3,sK1) != vangle(X0_iProver_rpoint_1,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_17225]) ).
tcf(c_17291,plain,
sK1 = sK1,
inference(instantiation,[status(thm)],[c_10172]) ).
tcf(c_17370,plain,
! [X0_iProver_rline_1: iProver_rline_1] :
( rR(sK3,vd1300,sK2)
| rR(sK3,sK1,sK1)
| ( sK3 = vd1300 )
| ( sK3 = sK1 )
| ( sK2 = sK3 )
| ( vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,sK1) )
| ~ rline(vd1295)
| ~ rpoint(vd1300)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rline(X0_iProver_rline_1)
| ~ ron(vd1300,vd1295)
| ~ ron(sK3,vd1295)
| ~ ron(sK2,vd1295)
| ~ ron(sK1,X0_iProver_rline_1) ),
inference(instantiation,[status(thm)],[c_17223]) ).
tcf(c_17371,plain,
( rR(sK3,vd1300,sK2)
| rR(sK3,sK1,sK1)
| ( sK3 = vd1300 )
| ( sK3 = sK1 )
| ( sK2 = sK3 )
| ( vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,sK1) )
| ~ rline(vd1295)
| ~ rline(vd1297)
| ~ rpoint(vd1300)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ ron(vd1300,vd1295)
| ~ ron(sK1,vd1297)
| ~ ron(sK3,vd1295)
| ~ ron(sK2,vd1295) ),
inference(instantiation,[status(thm)],[c_17370]) ).
tcf(c_17397,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( ron(vd1300,X0_iProver_rline_1)
| ~ rpoint(vd1300)
| ~ rline(X0_iProver_rline_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ ron(X1_iProver_rpoint_1,X0_iProver_rline_1)
| ~ ron(X0_iProver_rpoint_1,X0_iProver_rline_1)
| ~ rR(X0_iProver_rpoint_1,X1_iProver_rpoint_1,vd1300) ),
inference(instantiation,[status(thm)],[c_10110]) ).
tcf(c_17398,plain,
( ron(vd1300,vd1297)
| ~ rline(vd1297)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ ron(sK3,vd1297)
| ~ rR(sK3,sK3,vd1300) ),
inference(instantiation,[status(thm)],[c_17397]) ).
tcf(c_17707,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( ( vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,sK1) )
| ( vangle(vd1300,sK3,sK1) != vangle(X0_iProver_rpoint_1,sK3,X1_iProver_rpoint_1) )
| ( vangle(sK2,sK3,sK1) != vangle(X0_iProver_rpoint_1,sK3,X1_iProver_rpoint_1) ) ),
inference(instantiation,[status(thm)],[c_17228]) ).
tcf(c_17787,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ~ rpoint(sK1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ rR(X0_iProver_rpoint_1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_10134]) ).
tcf(c_17788,plain,
( ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rR(sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_17787]) ).
tcf(c_19192,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ( sK2 = X0_iProver_rpoint_1 )
| ~ rpoint(sK2)
| ~ rpoint(X0_iProver_rpoint_1)
| ( vf(sK2,X0_iProver_rpoint_1) != vd684 ) ),
inference(instantiation,[status(thm)],[c_10080]) ).
tcf(c_19228,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( ( sK2 = X0_iProver_rpoint_1 )
| ( sK2 != X1_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 != X1_iProver_rpoint_1 ) ),
inference(instantiation,[status(thm)],[c_10175]) ).
tcf(c_19431,plain,
( ( vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,sK1) )
| ( vangle(vd1300,sK3,sK1) != vangle(sK2,sK3,sK1) )
| ( vangle(sK2,sK3,sK1) != vangle(sK2,sK3,sK1) ) ),
inference(instantiation,[status(thm)],[c_17707]) ).
tcf(c_19434,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( ( vangle(sK2,sK3,sK1) = vangle(X0_iProver_rpoint_1,sK3,X1_iProver_rpoint_1) )
| ( sK1 != X1_iProver_rpoint_1 )
| ( sK3 != sK3 )
| ( sK2 != X0_iProver_rpoint_1 ) ),
inference(instantiation,[status(thm)],[c_10178]) ).
tcf(c_19533,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( ron(sK2,X0_iProver_rline_1)
| ~ rpoint(sK2)
| ~ rline(X0_iProver_rline_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ ron(X1_iProver_rpoint_1,X0_iProver_rline_1)
| ~ ron(X0_iProver_rpoint_1,X0_iProver_rline_1)
| ~ rR(sK2,X0_iProver_rpoint_1,X1_iProver_rpoint_1) ),
inference(instantiation,[status(thm)],[c_10111]) ).
tcf(c_20170,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( rR(X0_iProver_rpoint_1,X1_iProver_rpoint_1,vd1300)
| ~ rpoint(vd1300)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ rR(X0_iProver_rpoint_1,vd1300,X1_iProver_rpoint_1) ),
inference(instantiation,[status(thm)],[c_10132]) ).
tcf(c_20171,plain,
( rR(sK3,sK3,vd1300)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rR(sK3,vd1300,sK3) ),
inference(instantiation,[status(thm)],[c_20170]) ).
tcf(c_21755,plain,
vf(sK2,sK2) = vd684,
inference(superposition,[status(thm)],[c_10139,c_10081]) ).
tcf(c_21887,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ( sK2 = X0_iProver_rpoint_1 )
| ( sK2 != sK2 )
| ( X0_iProver_rpoint_1 != sK2 ) ),
inference(instantiation,[status(thm)],[c_19228]) ).
tcf(c_21888,plain,
( ( sK2 = sK3 )
| ( sK3 != sK2 )
| ( sK2 != sK2 ) ),
inference(instantiation,[status(thm)],[c_21887]) ).
tcf(c_22015,plain,
! [X0_iProver_rline_1: iProver_rline_1,X1_iProver_rline_1: iProver_rline_1] :
( rR(sK3,sK1,sK1)
| rR(sK3,sK2,vd1300)
| ( vd1300 = sK3 )
| ( sK3 = sK1 )
| ( sK3 = sK2 )
| ( vangle(vd1300,sK3,sK1) = vangle(sK2,sK3,sK1) )
| ~ rpoint(vd1300)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rline(X1_iProver_rline_1)
| ~ rline(X0_iProver_rline_1)
| ~ ron(vd1300,X0_iProver_rline_1)
| ~ ron(sK1,X1_iProver_rline_1)
| ~ ron(sK3,X0_iProver_rline_1)
| ~ ron(sK2,X0_iProver_rline_1) ),
inference(instantiation,[status(thm)],[c_10137]) ).
tcf(c_22016,plain,
( rR(sK3,sK1,sK1)
| rR(sK3,sK2,vd1300)
| ( vd1300 = sK3 )
| ( sK3 = sK1 )
| ( sK3 = sK2 )
| ( vangle(vd1300,sK3,sK1) = vangle(sK2,sK3,sK1) )
| ~ rline(vd1297)
| ~ rpoint(vd1300)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ ron(vd1300,vd1297)
| ~ ron(sK1,vd1297)
| ~ ron(sK3,vd1297)
| ~ ron(sK2,vd1297) ),
inference(instantiation,[status(thm)],[c_22015]) ).
tcf(c_23488,plain,
( ( sK2 = sK2 )
| ~ rpoint(sK2)
| ( vf(sK2,sK2) != vd684 ) ),
inference(instantiation,[status(thm)],[c_19192]) ).
tcf(c_27527,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ( vangle(sK2,sK3,sK1) = vangle(sK2,sK3,X0_iProver_rpoint_1) )
| ( sK1 != X0_iProver_rpoint_1 )
| ( sK3 != sK3 )
| ( sK2 != sK2 ) ),
inference(instantiation,[status(thm)],[c_19434]) ).
tcf(c_31097,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( ( X0_iProver_rpoint_1 = vd1300 )
| ( vd1300 != X1_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 != X1_iProver_rpoint_1 ) ),
inference(instantiation,[status(thm)],[c_10175]) ).
tcf(c_31098,plain,
( ( sK3 = vd1300 )
| ( vd1300 != sK3 )
| ( sK3 != sK3 ) ),
inference(instantiation,[status(thm)],[c_31097]) ).
tcf(c_34836,plain,
( rR(sK2,vd1300,sK3)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(superposition,[status(thm)],[c_10145,c_10132]) ).
tcf(c_35055,plain,
( ( vangle(sK2,sK3,sK1) = vangle(sK2,sK3,sK1) )
| ( sK1 != sK1 )
| ( sK3 != sK3 )
| ( sK2 != sK2 ) ),
inference(instantiation,[status(thm)],[c_27527]) ).
tcf(c_47711,plain,
! [X0_iProver_rline_1: iProver_rline_1] :
( ron(sK2,X0_iProver_rline_1)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rline(X0_iProver_rline_1)
| ~ ron(vd1300,X0_iProver_rline_1)
| ~ ron(sK3,X0_iProver_rline_1)
| ~ rR(sK2,sK3,vd1300) ),
inference(instantiation,[status(thm)],[c_19533]) ).
tcf(c_47712,plain,
( ron(sK2,vd1297)
| ~ rline(vd1297)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ ron(vd1300,vd1297)
| ~ ron(sK3,vd1297)
| ~ rR(sK2,sK3,vd1300) ),
inference(instantiation,[status(thm)],[c_47711]) ).
tcf(c_53947,plain,
( rR(sK2,vd1300,sK3)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(superposition,[status(thm)],[c_10145,c_10132]) ).
tcf(c_54010,plain,
rR(sK2,vd1300,sK3),
inference(global_subsumption_just,[status(thm)],[c_53947,c_72,c_64,c_63,c_34836]) ).
tcf(c_56462,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( rR(X0_iProver_rpoint_1,vd1300,sK3)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ rR(X0_iProver_rpoint_1,vd1300,sK2) ),
inference(superposition,[status(thm)],[c_54010,c_10076]) ).
tcf(c_56463,plain,
( rR(sK3,vd1300,sK3)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rR(sK3,vd1300,sK2) ),
inference(instantiation,[status(thm)],[c_56462]) ).
tcf(c_56464,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_56463,c_47712,c_35055,c_31098,c_23488,c_22016,c_21888,c_21755,c_20171,c_19431,c_17788,c_17398,c_17371,c_17291,c_10153,c_10142,c_10141,c_10129,c_10196,c_52,c_57,c_97,c_98,c_100,c_101,c_102,c_62,c_63,c_64,c_72,c_86,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO308+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 11:59:04 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 17.16/4.62 % SZS status Started for theBenchmark.p
% 17.16/4.62 % SZS status Theorem for theBenchmark.p
% 17.16/4.62
% 17.16/4.62 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 17.16/4.62
% 17.16/4.62 % ------ iProver source info
% 17.16/4.62
% 17.16/4.62 % git: date: 2026-07-19 20:42:38 +0200
% 17.16/4.62 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 17.16/4.62 % git: non_committed_changes: false
% 17.16/4.62
% 17.16/4.62 % ------ Parsing...
% 17.16/4.62 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 17.16/4.62
% 17.16/4.62 % ------ 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 %
% 17.16/4.62
% 17.16/4.62 % ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e %
% 17.16/4.62
% 17.16/4.62 % ------ Preprocessing... sf_s rm: 11 0s sf_e sf_s rm: 0 0s sf_e
% 17.16/4.62 % ------ Proving...
% 17.16/4.62 % ------ Problem Properties
% 17.16/4.62
% 17.16/4.62 %
% 17.16/4.62 % clauses 281
% 17.16/4.62 % conjectures 1
% 17.16/4.62 % EPR 79
% 17.16/4.62 % Horn 188
% 17.16/4.62 % unary 33
% 17.16/4.62 % binary 42
% 17.16/4.62 % lits 1680
% 17.16/4.62 % lits eq 271
% 17.16/4.62 % fd_pure 0
% 17.16/4.62 % fd_pseudo 0
% 17.16/4.62 % fd_cond 0
% 17.16/4.62 % fd_pseudo_cond 62
% 17.16/4.62 % AC symbols 0
% 17.16/4.62
% 17.16/4.62 % ------ Input Options Time Limit: Unbounded
% 17.16/4.62
% 17.16/4.62
% 17.16/4.62 % ------
% 17.16/4.62 % Current options:
% 17.16/4.62 % ------
% 17.16/4.62
% 17.16/4.62
% 17.16/4.62 %
% 17.16/4.62
% 17.16/4.62 % ------ Proving...
% 17.16/4.62 %
% 17.16/4.62
% 17.16/4.62 % SZS status Theorem for theBenchmark.p
% 17.16/4.62
% 17.16/4.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.16/4.62
% 17.16/4.62
%------------------------------------------------------------------------------