%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO321+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 : n010.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 36.06s 6.05s
% Output : CNFRefutation 36.06s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f14ERROR: Could not build tree for root c_29610ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
~ rR(vd1287,vd1289,vd1302),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(372))') ).
fof(f185,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,[],[f12]) ).
fof(f186,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,[],[f185]) ).
fof(f189,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,[],[f14]) ).
fof(f190,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,[],[f189]) ).
fof(f428,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)],[f11]) ).
fof(f504,plain,
vangle(vd1289,vd1287,vd1288) != vangle(vd1302,vd1287,vd1288),
inference(cnf_transformation,[],[f180]) ).
fof(f507,plain,
~ rR(vd1287,vd1289,vd1302),
inference(cnf_transformation,[],[f5]) ).
fof(f512,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f9]) ).
fof(f514,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f9]) ).
fof(f516,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f428]) ).
fof(f517,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f428]) ).
fof(f518,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f428]) ).
fof(f519,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f428]) ).
fof(f520,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f428]) ).
fof(f521,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f428]) ).
fof(f526,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,[],[f186]) ).
fof(f528,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,[],[f190]) ).
fof(f536,plain,
vd1289 != vd1287,
inference(cnf_transformation,[],[f19]) ).
fof(f537,plain,
vd1287 != vd1302,
inference(cnf_transformation,[],[f20]) ).
fof(f571,plain,
vd1287 != vd1288,
inference(cnf_transformation,[],[f54]) ).
fof(f574,plain,
ron(vd1302,vd1297),
inference(cnf_transformation,[],[f57]) ).
fof(f578,plain,
rline(vd1297),
inference(cnf_transformation,[],[f61]) ).
fof(f579,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f62]) ).
fof(f581,plain,
rline(vd1295),
inference(cnf_transformation,[],[f64]) ).
fof(f590,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f72]) ).
fof(f591,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f73]) ).
fof(f826,plain,
vangle(sK1,sK3,sK2) != vangle(vd1303,sK3,sK2),
inference(definition_unfolding,[],[f504,f521,f517,f519,f514,f517,f519]) ).
fof(f829,plain,
~ rR(sK3,sK1,vd1303),
inference(definition_unfolding,[],[f507,f517,f521,f514]) ).
fof(f841,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f536,f521,f517]) ).
fof(f842,plain,
vd1303 != sK3,
inference(definition_unfolding,[],[f537,f517,f514]) ).
fof(f875,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f571,f517,f519]) ).
fof(f878,plain,
ron(vd1303,vd1297),
inference(definition_unfolding,[],[f574,f514]) ).
fof(f882,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f579,f519]) ).
fof(f885,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f590,f521]) ).
fof(f886,plain,
ron(sK3,vd1297),
inference(definition_unfolding,[],[f591,f517]) ).
fof(f897,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,[],[f526]) ).
fof(f898,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,[],[f897]) ).
fof(f899,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,[],[f898]) ).
fof(f900,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,[],[f899]) ).
fof(f901,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,[],[f900]) ).
fof(f902,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,[],[f901]) ).
fof(f903,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,[],[f902]) ).
fof(f919,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,[],[f528]) ).
fof(f920,plain,
! [X3,X0,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X4,X0,X3)
| rR(X4,X3,X0) ),
inference(equality_resolution,[],[f919]) ).
fof(f921,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X4,X5,X3)
| rR(X4,X3,X5) ),
inference(equality_resolution,[],[f920]) ).
tcf(c_49,negated_conjecture,
vangle(sK1,sK3,sK2) != vangle(vd1303,sK3,sK2),
inference(cnf_transformation,[],[f826]) ).
tcf(c_52,negated_conjecture,
~ rR(sK3,sK1,vd1303),
inference(cnf_transformation,[],[f829]) ).
tcf(c_56,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f512]) ).
tcf(c_63,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f520]) ).
tcf(c_64,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f518]) ).
tcf(c_65,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f516]) ).
tcf(c_66,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,[],[f903]) ).
tcf(c_69,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X0,X1,X1) ),
inference(cnf_transformation,[],[f1667]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( rR(X0,X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[],[f921]) ).
tcf(c_76,negated_conjecture,
sK1 != sK3,
inference(cnf_transformation,[],[f841]) ).
tcf(c_77,negated_conjecture,
sK3 != vd1303,
inference(cnf_transformation,[],[f842]) ).
tcf(c_111,negated_conjecture,
sK3 != sK2,
inference(cnf_transformation,[],[f875]) ).
tcf(c_114,plain,
ron(vd1303,vd1297),
inference(cnf_transformation,[],[f878]) ).
tcf(c_118,plain,
rline(vd1297),
inference(cnf_transformation,[],[f578]) ).
tcf(c_119,plain,
ron(sK2,vd1295),
inference(cnf_transformation,[],[f882]) ).
tcf(c_121,plain,
rline(vd1295),
inference(cnf_transformation,[],[f581]) ).
tcf(c_130,plain,
ron(sK1,vd1297),
inference(cnf_transformation,[],[f885]) ).
tcf(c_131,plain,
ron(sK3,vd1297),
inference(cnf_transformation,[],[f886]) ).
tcf(c_970,negated_conjecture,
sK3 != vd1303,
inference(subtyping,[status(esa)],[c_77]) ).
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_71]) ).
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_69]) ).
tcf(c_977,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_66]) ).
tcf(c_981,negated_conjecture,
sK3 != sK2,
inference(subtyping,[status(esa)],[c_111]) ).
tcf(c_982,negated_conjecture,
sK1 != sK3,
inference(subtyping,[status(esa)],[c_76]) ).
tcf(c_994,negated_conjecture,
vangle(sK1,sK3,sK2) != vangle(vd1303,sK3,sK2),
inference(subtyping,[status(esa)],[c_49]) ).
tcf(c_2534,plain,
! [X0_iProver_ron_2: iProver_ron_2,X1_iProver_ron_2: iProver_ron_2] :
( rR(sK3,vd1303,sK1)
| rR(sK3,sK2,sK2)
| ( sK3 = vd1303 )
| ( sK3 = sK2 )
| ( sK1 = sK3 )
| ( vangle(sK1,sK3,sK2) = vangle(vd1303,sK3,sK2) )
| ~ rpoint(vd1303)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rline(X1_iProver_ron_2)
| ~ rline(X0_iProver_ron_2)
| ~ ron(vd1303,X0_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_977]) ).
tcf(c_9984,plain,
! [X0_iProver_ron_2: iProver_ron_2] :
( rR(sK3,vd1303,sK1)
| rR(sK3,sK2,sK2)
| ( sK3 = vd1303 )
| ( sK3 = sK2 )
| ( sK1 = sK3 )
| ( vangle(sK1,sK3,sK2) = vangle(vd1303,sK3,sK2) )
| ~ rline(vd1297)
| ~ rpoint(vd1303)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rline(X0_iProver_ron_2)
| ~ ron(vd1303,vd1297)
| ~ ron(sK3,vd1297)
| ~ ron(sK1,vd1297)
| ~ ron(sK2,X0_iProver_ron_2) ),
inference(instantiation,[status(thm)],[c_2534]) ).
tcf(c_9985,plain,
( rR(sK3,vd1303,sK1)
| rR(sK3,sK2,sK2)
| ( sK3 = vd1303 )
| ( sK3 = sK2 )
| ( sK1 = sK3 )
| ( vangle(sK1,sK3,sK2) = vangle(vd1303,sK3,sK2) )
| ~ rline(vd1297)
| ~ rline(vd1295)
| ~ rpoint(vd1303)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ ron(vd1303,vd1297)
| ~ ron(sK2,vd1295)
| ~ ron(sK3,vd1297)
| ~ ron(sK1,vd1297) ),
inference(instantiation,[status(thm)],[c_9984]) ).
tcf(c_26997,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rR(sK3,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_974]) ).
tcf(c_29609,plain,
( rR(sK3,sK1,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rR(sK3,vd1303,sK1) ),
inference(instantiation,[status(thm)],[c_972]) ).
tcf(c_29610,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_29609,c_26997,c_9985,c_994,c_982,c_981,c_970,c_52,c_114,c_119,c_130,c_131,c_56,c_63,c_64,c_65,c_118,c_121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO321+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.58 % Computer : n010.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Wed Sep 23 11:55:49 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.62 Running first-order theorem proving
% 0.10/0.62 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
% 0.14/0.63
% 0.14/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.63
% 0.14/0.63 % Detected problem language: tptp
% 0.14/0.65 % Proving...
% 36.06/6.05 % SZS status Started for theBenchmark.p
% 36.06/6.05 % SZS status Theorem for theBenchmark.p
% 36.06/6.05
% 36.06/6.05 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 36.06/6.05
% 36.06/6.05 % ------ iProver source info
% 36.06/6.05
% 36.06/6.05 % git: date: 2026-07-19 20:42:38 +0200
% 36.06/6.05 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 36.06/6.05 % git: non_committed_changes: false
% 36.06/6.05
% 36.06/6.05 % ------ Parsing...
% 36.06/6.05 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 36.06/6.05
% 36.06/6.05 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e %
% 36.06/6.05
% 36.06/6.05 % ------ Preprocessing...%
% 36.06/6.05
% 36.06/6.05 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 36.06/6.05 % ------ Proving...
% 36.06/6.05 % ------ Problem Properties
% 36.06/6.05
% 36.06/6.05 %
% 36.06/6.05 % clauses 271
% 36.06/6.05 % conjectures 47
% 36.06/6.05 % EPR 69
% 36.06/6.05 % Horn 184
% 36.06/6.05 % unary 33
% 36.06/6.05 % binary 32
% 36.06/6.05 % lits 1666
% 36.06/6.05 % lits eq 271
% 36.06/6.05 % fd_pure 0
% 36.06/6.05 % fd_pseudo 0
% 36.06/6.05 % fd_cond 0
% 36.06/6.05 % fd_pseudo_cond 62
% 36.06/6.05 % AC symbols 0
% 36.06/6.05
% 36.06/6.05 % ------ Input Options Time Limit: Unbounded
% 36.06/6.05
% 36.06/6.05
% 36.06/6.05 % ------
% 36.06/6.05 % Current options:
% 36.06/6.05 % ------
% 36.06/6.05
% 36.06/6.05
% 36.06/6.05 %
% 36.06/6.05
% 36.06/6.05 % ------ Proving...
% 36.06/6.05 %
% 36.06/6.05
% 36.06/6.05 % SZS status Theorem for theBenchmark.p
% 36.06/6.05
% 36.06/6.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 36.06/6.06
% 36.06/6.06
%------------------------------------------------------------------------------