%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO305+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 : n017.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 8.58s 1.91s
% Output : CNFRefutation 8.58s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f8ERROR: Could not build tree for root c_837ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f132,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,[],[f14]) ).
fof(f133,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,[],[f132]) ).
fof(f344,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)],[f13]) ).
fof(f420,plain,
~ ron(vd1302,vd1297),
inference(cnf_transformation,[],[f127]) ).
fof(f424,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f5]) ).
fof(f425,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f5]) ).
fof(f426,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f5]) ).
fof(f428,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f7]) ).
fof(f429,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f8]) ).
fof(f430,plain,
rline(vd1297),
inference(cnf_transformation,[],[f9]) ).
fof(f434,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f344]) ).
fof(f435,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f344]) ).
fof(f438,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f344]) ).
fof(f439,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f344]) ).
fof(f444,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,[],[f133]) ).
fof(f689,plain,
~ ron(vd1303,vd1297),
inference(definition_unfolding,[],[f420,f426]) ).
fof(f691,plain,
rR(sK1,sK3,vd1303),
inference(definition_unfolding,[],[f425,f439,f435,f426]) ).
fof(f693,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f428,f439]) ).
fof(f694,plain,
ron(sK3,vd1297),
inference(definition_unfolding,[],[f429,f435]) ).
fof(f710,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,[],[f444]) ).
fof(f711,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,[],[f710]) ).
fof(f712,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,[],[f711]) ).
fof(f713,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,[],[f712]) ).
tcf(c_49,negated_conjecture,
~ ron(vd1303,vd1297),
inference(cnf_transformation,[],[f689]) ).
tcf(c_51,plain,
rR(sK1,sK3,vd1303),
inference(cnf_transformation,[],[f691]) ).
tcf(c_52,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f424]) ).
tcf(c_55,plain,
ron(sK1,vd1297),
inference(cnf_transformation,[],[f693]) ).
tcf(c_56,plain,
ron(sK3,vd1297),
inference(cnf_transformation,[],[f694]) ).
tcf(c_57,plain,
rline(vd1297),
inference(cnf_transformation,[],[f430]) ).
tcf(c_65,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f438]) ).
tcf(c_67,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f434]) ).
tcf(c_68,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,[],[f713]) ).
tcf(c_717,plain,
! [X0: $i] :
( ron(vd1303,X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0) ),
inference(superposition,[status(thm)],[c_51,c_68]) ).
tcf(c_825,plain,
! [X0: $i] :
( ron(vd1303,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) ),
inference(global_subsumption_just,[status(thm)],[c_717,c_52,c_67,c_65,c_717]) ).
tcf(c_826,plain,
! [X0: $i] :
( ron(vd1303,X0)
| ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0) ),
inference(renaming,[status(thm)],[c_825]) ).
tcf(c_836,plain,
( ron(vd1303,vd1297)
| ~ rline(vd1297)
| ~ ron(sK1,vd1297) ),
inference(superposition,[status(thm)],[c_56,c_826]) ).
tcf(c_837,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_836,c_49,c_55,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO305+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 11:47:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 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
% 0.15/0.45
% 0.15/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.45
% 0.15/0.45 % Detected problem language: tptp
% 0.15/0.46 % Proving...
% 8.58/1.91 % SZS status Started for theBenchmark.p
% 8.58/1.91 % SZS status Theorem for theBenchmark.p
% 8.58/1.91
% 8.58/1.91 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.58/1.91
% 8.58/1.91 % ------ iProver source info
% 8.58/1.91
% 8.58/1.91 % git: date: 2026-07-19 20:42:38 +0200
% 8.58/1.91 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.58/1.91 % git: non_committed_changes: false
% 8.58/1.91
% 8.58/1.91 % ------ Parsing...
% 8.58/1.91 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.58/1.91 % ------ Proving...
% 8.58/1.91 % ------ Problem Properties
% 8.58/1.91
% 8.58/1.91 %
% 8.58/1.91 % clauses 263
% 8.58/1.91 % conjectures 1
% 8.58/1.91 % EPR 65
% 8.58/1.91 % Horn 176
% 8.58/1.91 % unary 21
% 8.58/1.91 % binary 32
% 8.58/1.91 % lits 1688
% 8.58/1.91 % lits eq 265
% 8.58/1.91 % fd_pure 0
% 8.58/1.91 % fd_pseudo 0
% 8.58/1.91 % fd_cond 0
% 8.58/1.91 % fd_pseudo_cond 62
% 8.58/1.91 % AC symbols 0
% 8.58/1.91
% 8.58/1.91 % ------ Input Options Time Limit: Unbounded
% 8.58/1.91
% 8.58/1.91
% 8.58/1.91 % ------
% 8.58/1.91 % Current options:
% 8.58/1.91 % ------
% 8.58/1.91
% 8.58/1.91
% 8.58/1.91 %
% 8.58/1.91
% 8.58/1.91 % ------ Proving...
% 8.58/1.91 %
% 8.58/1.91
% 8.58/1.91 % ------ Proving...
% 8.58/1.91 %
% 8.58/1.91
% 8.58/1.91 % ------ Proving...
% 8.58/1.91 %
% 8.58/1.91
% 8.58/1.91 % ------ Proving...
% 8.58/1.91 %
% 8.58/1.91
% 8.58/1.91 % ------ Proving...
% 8.58/1.91 %
% 8.58/1.91
% 8.58/1.91 % SZS status Theorem for theBenchmark.p
% 8.58/1.91
% 8.58/1.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.58/1.91
% 8.58/1.91
%------------------------------------------------------------------------------