%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO147+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 01:20:01 PM UTC 2026
% Result : Theorem 3.95s 6.53s
% Output : CNFRefutation 3.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 50 ( 18 unt; 5 def)
% Number of atoms : 117 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 37 ~; 29 |; 7 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 52 !; 4 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0,X1,X2] :
( connect(X0,X1,X2)
<=> once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',connect_defn) ).
fof(f32,axiom,
! [X0,X1] :
( once(at_the_same_time(X0,X1))
=> ( once(X1)
& once(X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',conjunction_at_the_same_time) ).
fof(f33,axiom,
! [X0,X1] :
( once(at(X0,X1))
<=> incident_o(X1,trajectory_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',at_on_trajectory) ).
fof(f34,axiom,
! [X0] :
? [X1] : trajectory_of(X0) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',trajectories_are_oriented_curves) ).
fof(f37,conjecture,
! [X0,X1,X2] :
( connect(X1,X2,X0)
=> ( incident_o(X0,trajectory_of(X2))
& incident_o(X0,trajectory_of(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( connect(X1,X2,X0)
=> ( incident_o(X0,trajectory_of(X2))
& incident_o(X0,trajectory_of(X1)) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f40,plain,
! [X0,X1,X2] :
( connect(X0,X1,X2)
=> once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(unused_predicate_definition_removal,[],[f28]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ connect(X0,X1,X2)
| once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(ennf_transformation,[],[f40]) ).
fof(f69,plain,
! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| ( once(X1)
& once(X0) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f73,plain,
? [X0,X1,X2] :
( connect(X1,X2,X0)
& ( ~ incident_o(X0,trajectory_of(X2))
| ~ incident_o(X0,trajectory_of(X1)) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f123,plain,
! [X0,X1] :
( ( ~ once(at(X0,X1))
| incident_o(X1,trajectory_of(X0)) )
& ( ~ incident_o(X1,trajectory_of(X0))
| once(at(X0,X1)) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f124,plain,
! [X0] : trajectory_of(X0) = sK22(X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X1,sK22(X0))],[f34]) ).
fof(f126,plain,
( connect(sK25,sK26,sK24)
& ( ~ incident_o(sK24,trajectory_of(sK26))
| ~ incident_o(sK24,trajectory_of(sK25)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25,sK26]),skolemize(X0,sK24),skolemize(X1,sK25),skolemize(X2,sK26)],[f73]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(cnf_transformation,[],[f67]) ).
fof(f209,plain,
! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f210,plain,
! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f211,plain,
! [X0,X1] :
( ~ once(at(X0,X1))
| incident_o(X1,trajectory_of(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f213,plain,
! [X0] : trajectory_of(X0) = sK22(X0),
inference(cnf_transformation,[],[f124]) ).
fof(f216,plain,
connect(sK25,sK26,sK24),
inference(cnf_transformation,[],[f126]) ).
fof(f217,plain,
( ~ incident_o(sK24,trajectory_of(sK26))
| ~ incident_o(sK24,trajectory_of(sK25)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f219,plain,
! [X0,X1] :
( ~ once(at(X0,X1))
| incident_o(X1,sK22(X0)) ),
inference(definition_unfolding,[],[f211,f213]) ).
fof(f221,plain,
( ~ incident_o(sK24,sK22(sK26))
| ~ incident_o(sK24,sK22(sK25)) ),
inference(definition_unfolding,[],[f217,f213,f213]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( once(X0)
| ~ once(at_the_same_time(X0,X1)) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] :
( once(X1)
| ~ once(at_the_same_time(X0,X1)) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i] :
( incident_o(X1,sK22(X0))
| ~ once(at(X0,X1)) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_137,negated_conjecture,
( ~ incident_o(sK24,sK22(sK26))
| ~ incident_o(sK24,sK22(sK25)) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_138,negated_conjecture,
connect(sK25,sK26,sK24),
inference(cnf_transformation,[],[f216]) ).
tcf(c_280,plain,
! [X0: $i,X1: $i,X2: $i] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_125]) ).
tcf(c_1554,plain,
! [X0: $i,X1: $i,X2: $i] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ( X2 != sK24 )
| ( X1 != sK26 )
| ( X0 != sK25 ) ),
inference(resolution_lifted,[status(thm)],[c_280,c_138]) ).
tcf(c_1555,plain,
once(at_the_same_time(at(sK25,sK24),at(sK26,sK24))),
inference(unflattening,[status(thm)],[c_1554]) ).
tcf(c_5152,definition,
iPr_def_10 = at(sK25,sK24),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_5153,definition,
iPr_def_11 = at(sK26,sK24),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_5154,definition,
iPr_def_12 = at_the_same_time(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_5155,definition,
iPr_def_13 = sK22(sK25),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_5156,definition,
iPr_def_14 = sK22(sK26),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_5157,plain,
once(iPr_def_12),
inference(demodulation,[status(thm)],[c_1555,c_5153,c_5152,c_5154]) ).
tcf(c_5158,negated_conjecture,
( ~ incident_o(sK24,iPr_def_14)
| ~ incident_o(sK24,iPr_def_13) ),
inference(demodulation,[status(thm)],[c_137,c_5156,c_5155]) ).
tcf(c_7173,plain,
( once(iPr_def_10)
| ~ once(iPr_def_12) ),
inference(superposition,[status(thm)],[c_5154,c_131]) ).
tcf(c_7174,plain,
once(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_7173,c_5157]) ).
tcf(c_7180,plain,
( once(iPr_def_11)
| ~ once(iPr_def_12) ),
inference(superposition,[status(thm)],[c_5154,c_132]) ).
tcf(c_7181,plain,
once(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_7180,c_5157]) ).
tcf(c_7400,plain,
( incident_o(sK24,sK22(sK25))
| ~ once(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5152,c_134]) ).
tcf(c_7401,plain,
( incident_o(sK24,sK22(sK26))
| ~ once(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5153,c_134]) ).
tcf(c_7406,plain,
( incident_o(sK24,iPr_def_14)
| ~ once(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_7401,c_5156]) ).
tcf(c_7407,plain,
incident_o(sK24,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_7406,c_7181]) ).
tcf(c_7408,plain,
( incident_o(sK24,iPr_def_13)
| ~ once(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_7400,c_5155]) ).
tcf(c_7409,plain,
incident_o(sK24,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_7408,c_7174]) ).
tcf(c_7410,plain,
~ incident_o(sK24,iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_5158,c_7407]) ).
tcf(c_7411,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7410,c_7409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO147+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.44 % Computer : n020.cluster.edu
% 0.15/5.44 % Model : x86_64 x86_64
% 0.15/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.44 % Memory : 8046.5625MB
% 0.15/5.44 % OS : Linux 6.8.0-71-generic
% 0.15/5.44 % CPULimit : 300
% 0.15/5.44 % WCLimit : 300
% 0.15/5.44 % DateTime : Wed Sep 23 11:09:38 UTC 2026
% 0.15/5.44 % CPUTime :
% 0.15/5.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.20/5.50 Running first-order theorem proving
% 0.20/5.50 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
% 0.20/5.52
% 0.20/5.52 % ======== iProver multi-core TPTP/SMT =========
% 0.20/5.52
% 0.20/5.52 % Detected problem language: tptp
% 0.20/5.54 % Proving...
% 3.95/6.53 % SZS status Started for theBenchmark.p
% 3.95/6.53 % SZS status Theorem for theBenchmark.p
% 3.95/6.53
% 3.95/6.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.95/6.53
% 3.95/6.53 % ------ iProver source info
% 3.95/6.53
% 3.95/6.53 % git: date: 2026-07-19 20:42:38 +0200
% 3.95/6.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.95/6.53 % git: non_committed_changes: false
% 3.95/6.53
% 3.95/6.53 % ------ Parsing...
% 3.95/6.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.95/6.53
% 3.95/6.53 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 3.95/6.53
% 3.95/6.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.95/6.53
% 3.95/6.53 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.95/6.53 % ------ Proving...
% 3.95/6.53 % ------ Problem Properties
% 3.95/6.53
% 3.95/6.53 %
% 3.95/6.53 % clauses 92
% 3.95/6.53 % conjectures 1
% 3.95/6.53 % EPR 26
% 3.95/6.53 % Horn 64
% 3.95/6.53 % unary 10
% 3.95/6.53 % binary 38
% 3.95/6.53 % lits 256
% 3.95/6.53 % lits eq 26
% 3.95/6.53 % fd_pure 0
% 3.95/6.53 % fd_pseudo 0
% 3.95/6.53 % fd_cond 0
% 3.95/6.53 % fd_pseudo_cond 16
% 3.95/6.53 % AC symbols 0
% 3.95/6.53
% 3.95/6.53 % ------ Schedule dynamic 5 is on
% 3.95/6.53
% 3.95/6.53 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.95/6.53
% 3.95/6.53
% 3.95/6.53 % ------
% 3.95/6.53 % Current options:
% 3.95/6.53 % ------
% 3.95/6.53
% 3.95/6.53
% 3.95/6.53 %
% 3.95/6.53
% 3.95/6.53 % ------ Proving...
% 3.95/6.53 %
% 3.95/6.53
% 3.95/6.53 % SZS status Theorem for theBenchmark.p
% 3.95/6.53
% 3.95/6.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.95/6.53
% 3.95/6.53
%------------------------------------------------------------------------------