%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO320+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 : n003.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 01:20:57 PM UTC 2026
% Result : Theorem 31.56s 5.34s
% Output : CNFRefutation 31.56s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f12ERROR: Could not build tree for root c_28233ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
~ rR(vd1287,vd1288,vd1329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(conjunct2(372)))') ).
fof(f186,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(f187,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,[],[f186]) ).
fof(f188,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(f189,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,[],[f188]) ).
fof(f427,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)],[f10]) ).
fof(f503,plain,
vangle(vd1289,vd1287,vd1288) != vangle(vd1289,vd1287,vd1329),
inference(cnf_transformation,[],[f179]) ).
fof(f504,plain,
~ rR(vd1287,vd1288,vd1329),
inference(cnf_transformation,[],[f3]) ).
fof(f507,plain,
rpoint(vd1329),
inference(cnf_transformation,[],[f6]) ).
fof(f514,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f427]) ).
fof(f515,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f427]) ).
fof(f516,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f427]) ).
fof(f517,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f427]) ).
fof(f518,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f427]) ).
fof(f519,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f427]) ).
fof(f525,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,[],[f187]) ).
fof(f530,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,[],[f189]) ).
fof(f532,plain,
vd1287 != vd1329,
inference(cnf_transformation,[],[f16]) ).
fof(f534,plain,
vd1289 != vd1287,
inference(cnf_transformation,[],[f18]) ).
fof(f569,plain,
vd1287 != vd1288,
inference(cnf_transformation,[],[f53]) ).
fof(f576,plain,
rline(vd1297),
inference(cnf_transformation,[],[f60]) ).
fof(f577,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f61]) ).
fof(f579,plain,
rline(vd1295),
inference(cnf_transformation,[],[f63]) ).
fof(f584,plain,
ron(vd1329,vd1295),
inference(cnf_transformation,[],[f68]) ).
fof(f586,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f70]) ).
fof(f587,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f71]) ).
fof(f824,plain,
vangle(sK1,sK3,sK2) != vangle(sK1,sK3,vd1329),
inference(definition_unfolding,[],[f503,f519,f515,f517,f519,f515]) ).
fof(f825,plain,
~ rR(sK3,sK2,vd1329),
inference(definition_unfolding,[],[f504,f515,f517]) ).
fof(f836,plain,
vd1329 != sK3,
inference(definition_unfolding,[],[f532,f515]) ).
fof(f838,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f534,f519,f515]) ).
fof(f872,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f569,f515,f517]) ).
fof(f879,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f577,f517]) ).
fof(f882,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f586,f519]) ).
fof(f883,plain,
ron(sK3,vd1297),
inference(definition_unfolding,[],[f587,f515]) ).
fof(f909,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,[],[f525]) ).
fof(f910,plain,
! [X3,X0,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X4,X0,X3)
| rR(X4,X3,X0) ),
inference(equality_resolution,[],[f909]) ).
fof(f911,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X4,X5,X3)
| rR(X4,X3,X5) ),
inference(equality_resolution,[],[f910]) ).
fof(f912,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,[],[f530]) ).
fof(f913,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,[],[f912]) ).
fof(f914,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,[],[f913]) ).
fof(f915,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,[],[f914]) ).
fof(f916,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,[],[f915]) ).
fof(f917,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,[],[f916]) ).
fof(f918,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,[],[f917]) ).
tcf(c_49,negated_conjecture,
vangle(sK1,sK3,sK2) != vangle(sK1,sK3,vd1329),
inference(cnf_transformation,[],[f824]) ).
tcf(c_50,negated_conjecture,
~ rR(sK3,sK2,vd1329),
inference(cnf_transformation,[],[f825]) ).
tcf(c_53,plain,
rpoint(vd1329),
inference(cnf_transformation,[],[f507]) ).
tcf(c_62,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f518]) ).
tcf(c_63,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f516]) ).
tcf(c_64,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f514]) ).
tcf(c_67,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X0,X1,X1) ),
inference(cnf_transformation,[],[f1664]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( rR(X0,X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[],[f911]) ).
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,[],[f918]) ).
tcf(c_73,negated_conjecture,
sK3 != vd1329,
inference(cnf_transformation,[],[f836]) ).
tcf(c_75,negated_conjecture,
sK1 != sK3,
inference(cnf_transformation,[],[f838]) ).
tcf(c_110,negated_conjecture,
sK3 != sK2,
inference(cnf_transformation,[],[f872]) ).
tcf(c_117,plain,
rline(vd1297),
inference(cnf_transformation,[],[f576]) ).
tcf(c_118,plain,
ron(sK2,vd1295),
inference(cnf_transformation,[],[f879]) ).
tcf(c_120,plain,
rline(vd1295),
inference(cnf_transformation,[],[f579]) ).
tcf(c_125,plain,
ron(vd1329,vd1295),
inference(cnf_transformation,[],[f584]) ).
tcf(c_127,plain,
ron(sK1,vd1297),
inference(cnf_transformation,[],[f882]) ).
tcf(c_128,plain,
ron(sK3,vd1297),
inference(cnf_transformation,[],[f883]) ).
tcf(c_970,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_971,negated_conjecture,
sK3 != vd1329,
inference(subtyping,[status(esa)],[c_73]) ).
tcf(c_972,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_69]) ).
tcf(c_974,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_67]) ).
tcf(c_980,negated_conjecture,
sK3 != sK2,
inference(subtyping,[status(esa)],[c_110]) ).
tcf(c_981,negated_conjecture,
sK1 != sK3,
inference(subtyping,[status(esa)],[c_75]) ).
tcf(c_992,negated_conjecture,
vangle(sK1,sK3,sK2) != vangle(sK1,sK3,vd1329),
inference(subtyping,[status(esa)],[c_49]) ).
tcf(c_994,plain,
! [X0_iProver_vg_3: iProver_vg_3] : X0_iProver_vg_3 = X0_iProver_vg_3,
theory(equality) ).
tcf(c_997,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_1285,plain,
! [X0_iProver_vg_3: iProver_vg_3] :
( ( sK1 = sK3 )
| ( sK3 != X0_iProver_vg_3 )
| ( sK1 != X0_iProver_vg_3 ) ),
inference(instantiation,[status(thm)],[c_997]) ).
tcf(c_3005,plain,
! [X0_iProver_ron_2: iProver_ron_2,X1_iProver_ron_2: iProver_ron_2] :
( rR(sK3,vd1329,sK2)
| rR(sK3,sK1,sK1)
| ( sK3 = vd1329 )
| ( sK3 = sK2 )
| ( sK3 = sK1 )
| ( sK1 = sK3 )
| ( vangle(sK1,sK3,sK2) = vangle(sK1,sK3,vd1329) )
| ~ rpoint(vd1329)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rline(X1_iProver_ron_2)
| ~ rline(X0_iProver_ron_2)
| ~ ron(vd1329,X1_iProver_ron_2)
| ~ ron(sK2,X1_iProver_ron_2)
| ~ ron(sK3,X0_iProver_ron_2)
| ~ ron(sK1,X0_iProver_ron_2) ),
inference(instantiation,[status(thm)],[c_970]) ).
tcf(c_5648,plain,
( ( sK1 = sK3 )
| ( sK3 != sK1 )
| ( sK1 != sK1 ) ),
inference(instantiation,[status(thm)],[c_1285]) ).
tcf(c_5649,plain,
sK1 = sK1,
inference(instantiation,[status(thm)],[c_994]) ).
tcf(c_10026,plain,
! [X0_iProver_ron_2: iProver_ron_2] :
( rR(sK3,vd1329,sK2)
| rR(sK3,sK1,sK1)
| ( sK3 = vd1329 )
| ( sK3 = sK2 )
| ( sK3 = sK1 )
| ( sK1 = sK3 )
| ( vangle(sK1,sK3,sK2) = vangle(sK1,sK3,vd1329) )
| ~ rline(vd1297)
| ~ rpoint(vd1329)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rline(X0_iProver_ron_2)
| ~ ron(sK3,vd1297)
| ~ ron(sK1,vd1297)
| ~ ron(vd1329,X0_iProver_ron_2)
| ~ ron(sK2,X0_iProver_ron_2) ),
inference(instantiation,[status(thm)],[c_3005]) ).
tcf(c_10027,plain,
( rR(sK3,vd1329,sK2)
| rR(sK3,sK1,sK1)
| ( sK3 = vd1329 )
| ( sK3 = sK2 )
| ( sK3 = sK1 )
| ( sK1 = sK3 )
| ( vangle(sK1,sK3,sK2) = vangle(sK1,sK3,vd1329) )
| ~ rline(vd1297)
| ~ rline(vd1295)
| ~ rpoint(vd1329)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ ron(vd1329,vd1295)
| ~ ron(sK2,vd1295)
| ~ ron(sK3,vd1297)
| ~ ron(sK1,vd1297) ),
inference(instantiation,[status(thm)],[c_10026]) ).
tcf(c_22531,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rR(sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_974]) ).
tcf(c_28232,plain,
( rR(sK3,sK2,vd1329)
| ~ rpoint(vd1329)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rR(sK3,vd1329,sK2) ),
inference(instantiation,[status(thm)],[c_972]) ).
tcf(c_28233,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_28232,c_22531,c_10027,c_5649,c_5648,c_992,c_981,c_980,c_971,c_50,c_118,c_125,c_127,c_128,c_53,c_62,c_63,c_64,c_117,c_120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO320+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 11:57:35 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 31.56/5.34 % SZS status Started for theBenchmark.p
% 31.56/5.34 % SZS status Theorem for theBenchmark.p
% 31.56/5.34
% 31.56/5.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 31.56/5.34
% 31.56/5.34 % ------ iProver source info
% 31.56/5.34
% 31.56/5.34 % git: date: 2026-07-19 20:42:38 +0200
% 31.56/5.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 31.56/5.34 % git: non_committed_changes: false
% 31.56/5.34
% 31.56/5.34 % ------ Parsing...
% 31.56/5.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 31.56/5.34
% 31.56/5.34 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e %
% 31.56/5.34
% 31.56/5.34 % ------ Preprocessing...%
% 31.56/5.34
% 31.56/5.34 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 31.56/5.34 % ------ Proving...
% 31.56/5.34 % ------ Problem Properties
% 31.56/5.34
% 31.56/5.34 %
% 31.56/5.34 % clauses 270
% 31.56/5.34 % conjectures 47
% 31.56/5.34 % EPR 69
% 31.56/5.34 % Horn 183
% 31.56/5.34 % unary 32
% 31.56/5.34 % binary 32
% 31.56/5.34 % lits 1665
% 31.56/5.34 % lits eq 270
% 31.56/5.34 % fd_pure 0
% 31.56/5.34 % fd_pseudo 0
% 31.56/5.34 % fd_cond 0
% 31.56/5.34 % fd_pseudo_cond 62
% 31.56/5.34 % AC symbols 0
% 31.56/5.34
% 31.56/5.34 % ------ Input Options Time Limit: Unbounded
% 31.56/5.34
% 31.56/5.34
% 31.56/5.34 % ------
% 31.56/5.34 % Current options:
% 31.56/5.34 % ------
% 31.56/5.34
% 31.56/5.34
% 31.56/5.34 %
% 31.56/5.34
% 31.56/5.34 % ------ Proving...
% 31.56/5.34 %
% 31.56/5.34
% 31.56/5.34 % SZS status Theorem for theBenchmark.p
% 31.56/5.34
% 31.56/5.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.56/5.34
% 31.56/5.34
%------------------------------------------------------------------------------