%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO342+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 : n020.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 01:20:59 PM UTC 2026
% Result : Theorem 10.75s 2.25s
% Output : CNFRefutation 10.75s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f36ERROR: Could not build tree for root c_26545ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f183,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| X0 = X1
| ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f184,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| X0 = X1
| ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) ) ),
inference(flattening,[],[f183]) ).
fof(f349,plain,
( rpoint(sK3)
& vd1399 = sK3
& rpoint(sK2)
& vd1400 = sK2
& rpoint(sK1)
& vd1401 = sK1
& vd1399 != vd1400
& vd1399 != vd1401
& vd1400 != vd1401
& rline(vd1407)
& ron(vd1399,vd1406)
& ron(vd1400,vd1406)
& vd1406 = vd1407 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f9]) ).
fof(f362,plain,
! [X0,X1] :
( ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1
| ? [X2] :
( rline(X2)
& ron(X0,X2)
& ron(X1,X2) ) ),
inference(rectify,[],[f184]) ).
fof(f363,plain,
! [X0,X1] :
( ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1
| ( rline(sK8(X0,X1))
& ron(X0,sK8(X0,X1))
& ron(X1,sK8(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f362]) ).
fof(f427,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(vd1401,X0)
| ~ ron(vd1399,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f434,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f349]) ).
fof(f435,plain,
vd1399 = sK3,
inference(cnf_transformation,[],[f349]) ).
fof(f438,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f349]) ).
fof(f439,plain,
vd1401 = sK1,
inference(cnf_transformation,[],[f349]) ).
fof(f441,plain,
vd1399 != vd1401,
inference(cnf_transformation,[],[f349]) ).
fof(f489,plain,
! [X3,X0,X1,X4] :
( ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X1 != X3
| X0 = X1
| rline(sK8(X0,X1)) ),
inference(cnf_transformation,[],[f363]) ).
fof(f490,plain,
! [X3,X0,X1,X4] :
( ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X1 != X3
| X0 = X1
| ron(X0,sK8(X0,X1)) ),
inference(cnf_transformation,[],[f363]) ).
fof(f491,plain,
! [X3,X0,X1,X4] :
( ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X1 != X3
| X0 = X1
| ron(X1,sK8(X0,X1)) ),
inference(cnf_transformation,[],[f363]) ).
fof(f695,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0) ),
inference(definition_unfolding,[],[f427,f435,f439]) ).
fof(f704,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f441,f435,f439]) ).
fof(f883,plain,
! [X3,X0,X4] :
( ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X0 = X3
| ron(X3,sK8(X0,X3)) ),
inference(equality_resolution,[],[f491]) ).
fof(f884,plain,
! [X3,X4] :
( ~ rpoint(X4)
| ~ rpoint(X3)
| X3 = X4
| ron(X3,sK8(X4,X3)) ),
inference(equality_resolution,[],[f883]) ).
fof(f885,plain,
! [X3,X0,X4] :
( ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X0 = X3
| ron(X0,sK8(X0,X3)) ),
inference(equality_resolution,[],[f490]) ).
fof(f886,plain,
! [X3,X4] :
( ~ rpoint(X4)
| ~ rpoint(X3)
| X3 = X4
| ron(X4,sK8(X4,X3)) ),
inference(equality_resolution,[],[f885]) ).
fof(f887,plain,
! [X3,X0,X4] :
( ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X0 = X3
| rline(sK8(X0,X3)) ),
inference(equality_resolution,[],[f489]) ).
fof(f888,plain,
! [X3,X4] :
( ~ rpoint(X4)
| ~ rpoint(X3)
| X3 = X4
| rline(sK8(X4,X3)) ),
inference(equality_resolution,[],[f887]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] :
( ~ rline(X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0) ),
inference(cnf_transformation,[],[f695]) ).
tcf(c_60,plain,
sK3 != sK1,
inference(cnf_transformation,[],[f704]) ).
tcf(c_62,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f438]) ).
tcf(c_64,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f434]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( ron(X0,sK8(X1,X0))
| ( X0 = X1 )
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f884]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( ron(X1,sK8(X1,X0))
| ( X0 = X1 )
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f886]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( rline(sK8(X1,X0))
| ( X0 = X1 )
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f888]) ).
tcf(c_16600,negated_conjecture,
! [X0: $i] :
( ~ rline(X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0) ),
inference(demodulation,[status(thm)],[c_49]) ).
tcf(c_25060,plain,
( rline(sK8(sK1,sK3))
| ( sK3 = sK1 )
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_26407,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ~ rpoint(sK3)
| ~ rpoint(X0)
| ~ rline(sK8(X0,sK3))
| ~ ron(sK1,sK8(X0,sK3)) ),
inference(superposition,[status(thm)],[c_107,c_16600]) ).
tcf(c_26417,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ~ rpoint(X0)
| ~ rline(sK8(X0,sK3))
| ~ ron(sK1,sK8(X0,sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26407,c_64]) ).
tcf(c_26543,plain,
( ( sK3 = sK1 )
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rline(sK8(sK1,sK3)) ),
inference(superposition,[status(thm)],[c_108,c_26417]) ).
tcf(c_26544,plain,
~ rline(sK8(sK1,sK3)),
inference(forward_subsumption_resolution,[status(thm)],[c_26543,c_60,c_62,c_64]) ).
tcf(c_26545,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_26544,c_25060,c_60,c_62,c_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO342+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n020.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Wed Sep 23 12:00:02 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 10.75/2.25 % SZS status Started for theBenchmark.p
% 10.75/2.25 % SZS status Theorem for theBenchmark.p
% 10.75/2.25
% 10.75/2.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.75/2.25
% 10.75/2.25 % ------ iProver source info
% 10.75/2.25
% 10.75/2.25 % git: date: 2026-07-19 20:42:38 +0200
% 10.75/2.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.75/2.25 % git: non_committed_changes: false
% 10.75/2.25
% 10.75/2.25 % ------ Parsing...
% 10.75/2.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.75/2.25
% 10.75/2.25 % ------ 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 %
% 10.75/2.25
% 10.75/2.25 % ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.75/2.25
% 10.75/2.25 % ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 10.75/2.25 % ------ Proving...
% 10.75/2.25 % ------ Problem Properties
% 10.75/2.25
% 10.75/2.25 %
% 10.75/2.25 % clauses 269
% 10.75/2.25 % conjectures 1
% 10.75/2.25 % EPR 66
% 10.75/2.25 % Horn 173
% 10.75/2.25 % unary 17
% 10.75/2.25 % binary 42
% 10.75/2.25 % lits 1699
% 10.75/2.25 % lits eq 283
% 10.75/2.25 % fd_pure 0
% 10.75/2.25 % fd_pseudo 0
% 10.75/2.25 % fd_cond 0
% 10.75/2.25 % fd_pseudo_cond 65
% 10.75/2.25 % AC symbols 0
% 10.75/2.25
% 10.75/2.25 % ------ Schedule dynamic 5 is on
% 10.75/2.25
% 10.75/2.25 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.75/2.25
% 10.75/2.25
% 10.75/2.25 % ------
% 10.75/2.25 % Current options:
% 10.75/2.25 % ------
% 10.75/2.25
% 10.75/2.25
% 10.75/2.25 %
% 10.75/2.25
% 10.75/2.25 % ------ Proving...
% 10.75/2.25 %
% 10.75/2.25
% 10.75/2.25 % SZS status Theorem for theBenchmark.p
% 10.75/2.25
% 10.75/2.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.75/2.25
% 10.75/2.25
%------------------------------------------------------------------------------