%------------------------------------------------------------------------------
% 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 : n009.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 : Unsatisfiable 2.68s 1.40s
% Output : CNFRefutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 16 unt; 5 def)
% Number of atoms : 85 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 51 ( 28 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 27 ( 0 sgn 27 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f124,axiom,
! [X2,X0,X1] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-3.ax',connect_defn_1) ).
fof(f131,axiom,
! [X0,X1] :
( once(X0)
| ~ once(at_the_same_time(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-3.ax',conjunction_at_the_same_time_8) ).
fof(f132,axiom,
! [X0,X1] :
( once(X1)
| ~ once(at_the_same_time(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-3.ax',conjunction_at_the_same_time_9) ).
fof(f133,axiom,
! [X0,X1] :
( incident_o(X1,trajectory_of(X0))
| ~ once(at(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-3.ax',at_on_trajectory_10) ).
fof(f135,axiom,
! [X0] : trajectory_of(X0) = ax3_sk1(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-3.ax',trajectories_are_oriented_curves_12) ).
fof(f138,negated_conjecture,
connect(sk28,sk29,sk27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_156) ).
fof(f139,negated_conjecture,
( ~ incident_o(sk27,trajectory_of(sk29))
| ~ incident_o(sk27,trajectory_of(sk28)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_157) ).
fof(f140,plain,
! [X0,X1] :
( incident_o(X1,ax3_sk1(X0))
| ~ once(at(X0,X1)) ),
inference(definition_unfolding,[],[f133,f135]) ).
fof(f143,plain,
( ~ incident_o(sk27,ax3_sk1(sk29))
| ~ incident_o(sk27,ax3_sk1(sk28)) ),
inference(definition_unfolding,[],[f139,f135,f135]) ).
tcf(c_246,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,[],[f124]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i] :
( once(X0)
| ~ once(at_the_same_time(X0,X1)) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_254,plain,
! [X0: $i,X1: $i] :
( once(X1)
| ~ once(at_the_same_time(X0,X1)) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_255,plain,
! [X0: $i,X1: $i] :
( incident_o(X1,ax3_sk1(X0))
| ~ once(at(X0,X1)) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_259,negated_conjecture,
connect(sk28,sk29,sk27),
inference(cnf_transformation,[],[f138]) ).
tcf(c_260,negated_conjecture,
( ~ incident_o(sk27,ax3_sk1(sk29))
| ~ incident_o(sk27,ax3_sk1(sk28)) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_346,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_246]) ).
tcf(c_1823,plain,
! [X0: $i,X1: $i,X2: $i] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ( X2 != sk27 )
| ( X1 != sk29 )
| ( X0 != sk28 ) ),
inference(resolution_lifted,[status(thm)],[c_259,c_346]) ).
tcf(c_1824,plain,
once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))),
inference(unflattening,[status(thm)],[c_1823]) ).
tcf(c_5892,definition,
iPr_def_10 = at(sk28,sk27),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_5893,definition,
iPr_def_11 = at(sk29,sk27),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_5894,definition,
iPr_def_12 = at_the_same_time(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_5895,definition,
iPr_def_13 = ax3_sk1(sk28),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_5896,definition,
iPr_def_14 = ax3_sk1(sk29),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_5897,plain,
once(iPr_def_12),
inference(demodulation,[status(thm)],[c_1824,c_5893,c_5892,c_5894]) ).
tcf(c_5898,negated_conjecture,
( ~ incident_o(sk27,iPr_def_14)
| ~ incident_o(sk27,iPr_def_13) ),
inference(demodulation,[status(thm)],[c_260,c_5896,c_5895]) ).
tcf(c_8139,plain,
( once(iPr_def_10)
| ~ once(iPr_def_12) ),
inference(superposition,[status(thm)],[c_5894,c_253]) ).
tcf(c_8140,plain,
once(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_8139,c_5897]) ).
tcf(c_8146,plain,
( once(iPr_def_11)
| ~ once(iPr_def_12) ),
inference(superposition,[status(thm)],[c_5894,c_254]) ).
tcf(c_8147,plain,
once(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_8146,c_5897]) ).
tcf(c_8298,plain,
( incident_o(sk27,ax3_sk1(sk28))
| ~ once(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5892,c_255]) ).
tcf(c_8299,plain,
( incident_o(sk27,ax3_sk1(sk29))
| ~ once(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5893,c_255]) ).
tcf(c_8300,plain,
( incident_o(sk27,iPr_def_14)
| ~ once(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_8299,c_5896]) ).
tcf(c_8301,plain,
incident_o(sk27,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_8300,c_8147]) ).
tcf(c_8302,plain,
( incident_o(sk27,iPr_def_13)
| ~ once(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_8298,c_5895]) ).
tcf(c_8303,plain,
incident_o(sk27,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_8302,c_8140]) ).
tcf(c_8304,plain,
~ incident_o(sk27,iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_5898,c_8301]) ).
tcf(c_8305,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8304,c_8303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO147-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.42 % Computer : n009.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.43 % DateTime : Wed Sep 23 11:09:00 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.49 Running first-order theorem proving
% 0.16/0.49 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
% 0.25/0.51
% 0.25/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.51
% 0.25/0.51 % Detected problem language: tptp
% 0.25/0.52 % Proving...
% 2.68/1.40 % SZS status Started for theBenchmark.p
% 2.68/1.40 % SZS status Unsatisfiable for theBenchmark.p
% 2.68/1.40
% 2.68/1.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.68/1.40
% 2.68/1.40 % ------ iProver source info
% 2.68/1.40
% 2.68/1.40 % git: date: 2026-07-19 20:42:38 +0200
% 2.68/1.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.68/1.40 % git: non_committed_changes: false
% 2.68/1.40
% 2.68/1.40 % ------ Parsing...% successful
% 2.68/1.40
% 2.68/1.40
% 2.68/1.40 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.68/1.40
% 2.68/1.40 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.68/1.40
% 2.68/1.40 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.68/1.40
% 2.68/1.40 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.68/1.40 % ------ Proving...
% 2.68/1.40 % ------ Problem Properties
% 2.68/1.40
% 2.68/1.40 %
% 2.68/1.40 % clauses 102
% 2.68/1.40 % conjectures 1
% 2.68/1.40 % EPR 31
% 2.68/1.40 % Horn 71
% 2.68/1.40 % unary 10
% 2.68/1.40 % binary 43
% 2.68/1.40 % lits 283
% 2.68/1.40 % lits eq 29
% 2.68/1.40 % fd_pure 0
% 2.68/1.40 % fd_pseudo 0
% 2.68/1.40 % fd_cond 0
% 2.68/1.40 % fd_pseudo_cond 17
% 2.68/1.40 % AC symbols 0
% 2.68/1.40
% 2.68/1.40 % ------ Schedule dynamic 5 is on
% 2.68/1.40
% 2.68/1.40 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.68/1.40
% 2.68/1.40
% 2.68/1.40 % ------
% 2.68/1.40 % Current options:
% 2.68/1.40 % ------
% 2.68/1.40
% 2.68/1.40
% 2.68/1.40 %
% 2.68/1.40
% 2.68/1.40 % ------ Proving...
% 2.68/1.40 %
% 2.68/1.40
% 2.68/1.40 % SZS status Unsatisfiable for theBenchmark.p
% 2.68/1.40
% 2.68/1.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.68/1.40
% 2.68/1.40
%------------------------------------------------------------------------------