%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO307+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 : 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 01:20:56 PM UTC 2026
% Result : Theorem 28.78s 4.83s
% Output : CNFRefutation 28.78s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f1540ERROR: Could not build tree for root c_23913ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
~ rR(vd1287,vd1289,vd1306),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(conjunct2(356)))') ).
fof(f155,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,[],[f10]) ).
fof(f156,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,[],[f155]) ).
fof(f157,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,[],[f14]) ).
fof(f158,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,[],[f157]) ).
fof(f365,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)],[f8]) ).
fof(f441,plain,
vangle(vd1288,vd1287,vd1289) != vangle(vd1288,vd1287,vd1306),
inference(cnf_transformation,[],[f148]) ).
fof(f442,plain,
~ rR(vd1287,vd1289,vd1306),
inference(cnf_transformation,[],[f3]) ).
fof(f445,plain,
rpoint(vd1306),
inference(cnf_transformation,[],[f6]) ).
fof(f450,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f365]) ).
fof(f451,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f365]) ).
fof(f452,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f365]) ).
fof(f453,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f365]) ).
fof(f454,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f365]) ).
fof(f455,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f365]) ).
fof(f461,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,[],[f156]) ).
fof(f468,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,[],[f158]) ).
fof(f470,plain,
vd1287 != vd1306,
inference(cnf_transformation,[],[f16]) ).
fof(f472,plain,
vd1287 != vd1289,
inference(cnf_transformation,[],[f18]) ).
fof(f477,plain,
vd1288 != vd1287,
inference(cnf_transformation,[],[f23]) ).
fof(f482,plain,
rline(vd1297),
inference(cnf_transformation,[],[f28]) ).
fof(f485,plain,
rline(vd1295),
inference(cnf_transformation,[],[f31]) ).
fof(f491,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f37]) ).
fof(f492,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f38]) ).
fof(f493,plain,
ron(vd1306,vd1297),
inference(cnf_transformation,[],[f39]) ).
fof(f496,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f42]) ).
fof(f731,plain,
vangle(sK2,sK3,sK1) != vangle(sK2,sK3,vd1306),
inference(definition_unfolding,[],[f441,f453,f451,f455,f453,f451]) ).
fof(f732,plain,
~ rR(sK3,sK1,vd1306),
inference(definition_unfolding,[],[f442,f451,f455]) ).
fof(f743,plain,
vd1306 != sK3,
inference(definition_unfolding,[],[f470,f451]) ).
fof(f745,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f472,f451,f455]) ).
fof(f749,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f477,f453,f451]) ).
fof(f756,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f491,f455]) ).
fof(f757,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f492,f453]) ).
fof(f760,plain,
ron(sK3,vd1295),
inference(definition_unfolding,[],[f496,f451]) ).
fof(f785,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,[],[f461]) ).
fof(f786,plain,
! [X3,X0,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X4,X0,X3)
| rR(X4,X3,X0) ),
inference(equality_resolution,[],[f785]) ).
fof(f787,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X4,X5,X3)
| rR(X4,X3,X5) ),
inference(equality_resolution,[],[f786]) ).
fof(f788,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,[],[f468]) ).
fof(f789,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,[],[f788]) ).
fof(f790,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,[],[f789]) ).
fof(f791,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,[],[f790]) ).
fof(f792,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,[],[f791]) ).
fof(f793,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,[],[f792]) ).
fof(f794,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,[],[f793]) ).
tcf(c_49,negated_conjecture,
vangle(sK2,sK3,sK1) != vangle(sK2,sK3,vd1306),
inference(cnf_transformation,[],[f731]) ).
tcf(c_50,negated_conjecture,
~ rR(sK3,sK1,vd1306),
inference(cnf_transformation,[],[f732]) ).
tcf(c_53,plain,
rpoint(vd1306),
inference(cnf_transformation,[],[f445]) ).
tcf(c_61,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f454]) ).
tcf(c_62,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f452]) ).
tcf(c_63,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f450]) ).
tcf(c_66,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X0,X1,X1) ),
inference(cnf_transformation,[],[f1540]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( rR(X0,X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[],[f787]) ).
tcf(c_71,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,[],[f794]) ).
tcf(c_73,negated_conjecture,
sK3 != vd1306,
inference(cnf_transformation,[],[f743]) ).
tcf(c_75,negated_conjecture,
sK3 != sK1,
inference(cnf_transformation,[],[f745]) ).
tcf(c_80,negated_conjecture,
sK2 != sK3,
inference(cnf_transformation,[],[f749]) ).
tcf(c_85,plain,
rline(vd1297),
inference(cnf_transformation,[],[f482]) ).
tcf(c_88,plain,
rline(vd1295),
inference(cnf_transformation,[],[f485]) ).
tcf(c_94,plain,
ron(sK1,vd1297),
inference(cnf_transformation,[],[f756]) ).
tcf(c_95,plain,
ron(sK2,vd1295),
inference(cnf_transformation,[],[f757]) ).
tcf(c_96,plain,
ron(vd1306,vd1297),
inference(cnf_transformation,[],[f493]) ).
tcf(c_99,plain,
ron(sK3,vd1295),
inference(cnf_transformation,[],[f760]) ).
tcf(c_877,plain,
! [X0_iProver_vg_3: iProver_vg_3,X0_iProver_ron_2: iProver_ron_2,X1_iProver_vg_3: iProver_vg_3,X1_iProver_ron_2: iProver_ron_2,X2_iProver_vg_3: iProver_vg_3,X3_iProver_vg_3: iProver_vg_3,X4_iProver_vg_3: iProver_vg_3] :
( rR(X0_iProver_vg_3,X3_iProver_vg_3,X4_iProver_vg_3)
| rR(X0_iProver_vg_3,X1_iProver_vg_3,X2_iProver_vg_3)
| ( X2_iProver_vg_3 = X0_iProver_vg_3 )
| ( X0_iProver_vg_3 = X4_iProver_vg_3 )
| ( X0_iProver_vg_3 = X3_iProver_vg_3 )
| ( X0_iProver_vg_3 = X1_iProver_vg_3 )
| ( vangle(X2_iProver_vg_3,X0_iProver_vg_3,X4_iProver_vg_3) = vangle(X1_iProver_vg_3,X0_iProver_vg_3,X3_iProver_vg_3) )
| ~ rline(X1_iProver_ron_2)
| ~ rline(X0_iProver_ron_2)
| ~ 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)
| ~ ron(X4_iProver_vg_3,X1_iProver_ron_2)
| ~ ron(X3_iProver_vg_3,X1_iProver_ron_2)
| ~ ron(X2_iProver_vg_3,X0_iProver_ron_2)
| ~ ron(X1_iProver_vg_3,X0_iProver_ron_2)
| ~ ron(X0_iProver_vg_3,X0_iProver_ron_2) ),
inference(subtyping,[status(esa)],[c_71]) ).
tcf(c_879,negated_conjecture,
sK3 != vd1306,
inference(subtyping,[status(esa)],[c_73]) ).
tcf(c_880,plain,
! [X0_iProver_vg_3: iProver_vg_3,X1_iProver_vg_3: iProver_vg_3,X2_iProver_vg_3: iProver_vg_3] :
( rR(X0_iProver_vg_3,X2_iProver_vg_3,X1_iProver_vg_3)
| ~ rpoint(X2_iProver_vg_3)
| ~ rpoint(X1_iProver_vg_3)
| ~ rpoint(X0_iProver_vg_3)
| ~ rR(X0_iProver_vg_3,X1_iProver_vg_3,X2_iProver_vg_3) ),
inference(subtyping,[status(esa)],[c_68]) ).
tcf(c_882,negated_conjecture,
! [X0_iProver_vg_3: iProver_vg_3,X1_iProver_vg_3: iProver_vg_3] :
( ~ rpoint(X1_iProver_vg_3)
| ~ rpoint(X0_iProver_vg_3)
| ~ rR(X0_iProver_vg_3,X1_iProver_vg_3,X1_iProver_vg_3) ),
inference(subtyping,[status(esa)],[c_66]) ).
tcf(c_888,negated_conjecture,
sK2 != sK3,
inference(subtyping,[status(esa)],[c_80]) ).
tcf(c_889,negated_conjecture,
sK3 != sK1,
inference(subtyping,[status(esa)],[c_75]) ).
tcf(c_899,negated_conjecture,
vangle(sK2,sK3,sK1) != vangle(sK2,sK3,vd1306),
inference(subtyping,[status(esa)],[c_49]) ).
tcf(c_901,plain,
! [X0_iProver_vg_3: iProver_vg_3] : X0_iProver_vg_3 = X0_iProver_vg_3,
theory(equality) ).
tcf(c_904,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_1190,plain,
! [X0_iProver_vg_3: iProver_vg_3] :
( ( sK2 = sK3 )
| ( sK3 != X0_iProver_vg_3 )
| ( sK2 != X0_iProver_vg_3 ) ),
inference(instantiation,[status(thm)],[c_904]) ).
tcf(c_2939,plain,
! [X0_iProver_ron_2: iProver_ron_2,X1_iProver_ron_2: iProver_ron_2] :
( rR(sK3,vd1306,sK1)
| rR(sK3,sK2,sK2)
| ( sK3 = vd1306 )
| ( sK3 = sK1 )
| ( sK3 = sK2 )
| ( sK2 = sK3 )
| ( vangle(sK2,sK3,sK1) = vangle(sK2,sK3,vd1306) )
| ~ rpoint(vd1306)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rline(X1_iProver_ron_2)
| ~ rline(X0_iProver_ron_2)
| ~ ron(vd1306,X1_iProver_ron_2)
| ~ ron(sK1,X1_iProver_ron_2)
| ~ ron(sK3,X0_iProver_ron_2)
| ~ ron(sK2,X0_iProver_ron_2) ),
inference(instantiation,[status(thm)],[c_877]) ).
tcf(c_5512,plain,
( ( sK2 = sK3 )
| ( sK3 != sK2 )
| ( sK2 != sK2 ) ),
inference(instantiation,[status(thm)],[c_1190]) ).
tcf(c_5513,plain,
sK2 = sK2,
inference(instantiation,[status(thm)],[c_901]) ).
tcf(c_20429,plain,
( rR(sK3,sK1,vd1306)
| ~ rpoint(vd1306)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rR(sK3,vd1306,sK1) ),
inference(instantiation,[status(thm)],[c_880]) ).
tcf(c_22397,plain,
! [X0_iProver_ron_2: iProver_ron_2] :
( rR(sK3,vd1306,sK1)
| rR(sK3,sK2,sK2)
| ( sK3 = vd1306 )
| ( sK3 = sK1 )
| ( sK3 = sK2 )
| ( sK2 = sK3 )
| ( vangle(sK2,sK3,sK1) = vangle(sK2,sK3,vd1306) )
| ~ rline(vd1295)
| ~ rpoint(vd1306)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rline(X0_iProver_ron_2)
| ~ ron(sK3,vd1295)
| ~ ron(sK2,vd1295)
| ~ ron(vd1306,X0_iProver_ron_2)
| ~ ron(sK1,X0_iProver_ron_2) ),
inference(instantiation,[status(thm)],[c_2939]) ).
tcf(c_22398,plain,
( rR(sK3,vd1306,sK1)
| rR(sK3,sK2,sK2)
| ( sK3 = vd1306 )
| ( sK3 = sK1 )
| ( sK3 = sK2 )
| ( sK2 = sK3 )
| ( vangle(sK2,sK3,sK1) = vangle(sK2,sK3,vd1306) )
| ~ rline(vd1295)
| ~ rline(vd1297)
| ~ rpoint(vd1306)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ ron(vd1306,vd1297)
| ~ ron(sK1,vd1297)
| ~ ron(sK3,vd1295)
| ~ ron(sK2,vd1295) ),
inference(instantiation,[status(thm)],[c_22397]) ).
tcf(c_23912,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rR(sK3,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_882]) ).
tcf(c_23913,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_23912,c_22398,c_20429,c_5513,c_5512,c_899,c_889,c_888,c_879,c_50,c_94,c_95,c_96,c_99,c_53,c_61,c_62,c_63,c_85,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO307+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n002.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 11:55:34 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.45 % Proving...
% 28.78/4.83 % SZS status Started for theBenchmark.p
% 28.78/4.83 % SZS status Theorem for theBenchmark.p
% 28.78/4.83
% 28.78/4.83 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 28.78/4.83
% 28.78/4.83 % ------ iProver source info
% 28.78/4.83
% 28.78/4.83 % git: date: 2026-07-19 20:42:38 +0200
% 28.78/4.83 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 28.78/4.83 % git: non_committed_changes: false
% 28.78/4.83
% 28.78/4.83 % ------ Parsing...
% 28.78/4.83 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 28.78/4.83
% 28.78/4.83 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e %
% 28.78/4.83
% 28.78/4.83 % ------ Preprocessing...%
% 28.78/4.83
% 28.78/4.83 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 28.78/4.83 % ------ Proving...
% 28.78/4.83 % ------ Problem Properties
% 28.78/4.83
% 28.78/4.83 %
% 28.78/4.83 % clauses 270
% 28.78/4.83 % conjectures 46
% 28.78/4.83 % EPR 69
% 28.78/4.83 % Horn 183
% 28.78/4.83 % unary 32
% 28.78/4.83 % binary 32
% 28.78/4.83 % lits 1665
% 28.78/4.83 % lits eq 270
% 28.78/4.83 % fd_pure 0
% 28.78/4.83 % fd_pseudo 0
% 28.78/4.83 % fd_cond 0
% 28.78/4.83 % fd_pseudo_cond 62
% 28.78/4.83 % AC symbols 0
% 28.78/4.83
% 28.78/4.83 % ------ Input Options Time Limit: Unbounded
% 28.78/4.83
% 28.78/4.83
% 28.78/4.83 % ------
% 28.78/4.83 % Current options:
% 28.78/4.83 % ------
% 28.78/4.83
% 28.78/4.83
% 28.78/4.83 %
% 28.78/4.83
% 28.78/4.83 % ------ Proving...
% 28.78/4.83 %
% 28.78/4.83
% 28.78/4.83 % SZS status Theorem for theBenchmark.p
% 28.78/4.83
% 28.78/4.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.78/4.83
% 28.78/4.83
%------------------------------------------------------------------------------