%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO148+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 2.80s 1.35s
% Output : CNFRefutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 27 unt; 8 def)
% Number of atoms : 151 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 118 ( 58 ~; 40 |; 13 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 13 ( 11 usr; 9 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn 87 !; 11 ?; 32 :)
% 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(f34,axiom,
! [X0] :
? [X1] : trajectory_of(X0) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',trajectories_are_oriented_curves) ).
fof(f35,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( once(at_the_same_time(at(X4,X2),at(X5,X3)))
& once(at_the_same_time(at(X4,X0),at(X5,X1))) )
=> ~ ( ordered_by(trajectory_of(X5),X3,X1)
& ordered_by(trajectory_of(X4),X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',homogeneous_behaviour) ).
fof(f37,conjecture,
! [X0,X1,X2] :
( connect(X1,X2,X0)
=> ! [X3,X4] :
( ( ordered_by(trajectory_of(X1),X0,X3)
& ordered_by(trajectory_of(X2),X4,X0) )
=> ~ once(at_the_same_time(at(X1,X3),at(X2,X4))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( connect(X1,X2,X0)
=> ! [X3,X4] :
( ( ordered_by(trajectory_of(X1),X0,X3)
& ordered_by(trajectory_of(X2),X4,X0) )
=> ~ once(at_the_same_time(at(X1,X3),at(X2,X4))) ) ),
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(f70,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ once(at_the_same_time(at(X4,X2),at(X5,X3)))
| ~ once(at_the_same_time(at(X4,X0),at(X5,X1)))
| ~ ordered_by(trajectory_of(X5),X3,X1)
| ~ ordered_by(trajectory_of(X4),X0,X2) ),
inference(ennf_transformation,[],[f35]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ once(at_the_same_time(at(X4,X2),at(X5,X3)))
| ~ once(at_the_same_time(at(X4,X0),at(X5,X1)))
| ~ ordered_by(trajectory_of(X5),X3,X1)
| ~ ordered_by(trajectory_of(X4),X0,X2) ),
inference(flattening,[],[f70]) ).
fof(f73,plain,
? [X0,X1,X2] :
( connect(X1,X2,X0)
& ? [X3,X4] :
( ordered_by(trajectory_of(X1),X0,X3)
& ordered_by(trajectory_of(X2),X4,X0)
& once(at_the_same_time(at(X1,X3),at(X2,X4))) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f74,plain,
? [X0,X1,X2] :
( connect(X1,X2,X0)
& ? [X3,X4] :
( ordered_by(trajectory_of(X1),X0,X3)
& ordered_by(trajectory_of(X2),X4,X0)
& once(at_the_same_time(at(X1,X3),at(X2,X4))) ) ),
inference(flattening,[],[f73]) ).
fof(f125,plain,
! [X0] : trajectory_of(X0) = sK22(X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X1,sK22(X0))],[f34]) ).
fof(f127,plain,
( connect(sK25,sK26,sK24)
& ordered_by(trajectory_of(sK25),sK24,sK27)
& ordered_by(trajectory_of(sK26),sK28,sK24)
& once(at_the_same_time(at(sK25,sK27),at(sK26,sK28))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25,sK26,sK27,sK28]),skolemize(X0,sK24),skolemize(X1,sK25),skolemize(X2,sK26),skolemize(X3,sK27),skolemize(X4,sK28)],[f74]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(cnf_transformation,[],[f67]) ).
fof(f214,plain,
! [X0] : trajectory_of(X0) = sK22(X0),
inference(cnf_transformation,[],[f125]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ once(at_the_same_time(at(X4,X2),at(X5,X3)))
| ~ once(at_the_same_time(at(X4,X0),at(X5,X1)))
| ~ ordered_by(trajectory_of(X5),X3,X1)
| ~ ordered_by(trajectory_of(X4),X0,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f217,plain,
connect(sK25,sK26,sK24),
inference(cnf_transformation,[],[f127]) ).
fof(f218,plain,
ordered_by(trajectory_of(sK25),sK24,sK27),
inference(cnf_transformation,[],[f127]) ).
fof(f219,plain,
ordered_by(trajectory_of(sK26),sK28,sK24),
inference(cnf_transformation,[],[f127]) ).
fof(f220,plain,
once(at_the_same_time(at(sK25,sK27),at(sK26,sK28))),
inference(cnf_transformation,[],[f127]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ once(at_the_same_time(at(X4,X2),at(X5,X3)))
| ~ once(at_the_same_time(at(X4,X0),at(X5,X1)))
| ~ ordered_by(sK22(X5),X3,X1)
| ~ ordered_by(sK22(X4),X0,X2) ),
inference(definition_unfolding,[],[f215,f214,f214]) ).
fof(f224,plain,
ordered_by(sK22(sK26),sK28,sK24),
inference(definition_unfolding,[],[f219,f214]) ).
fof(f225,plain,
ordered_by(sK22(sK25),sK24,sK27),
inference(definition_unfolding,[],[f218,f214]) ).
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,[],[f204]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ordered_by(sK22(X2),X5,X3)
| ~ ordered_by(sK22(X0),X1,X4)
| ~ once(at_the_same_time(at(X0,X4),at(X2,X5)))
| ~ once(at_the_same_time(at(X0,X1),at(X2,X3))) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_137,negated_conjecture,
once(at_the_same_time(at(sK25,sK27),at(sK26,sK28))),
inference(cnf_transformation,[],[f220]) ).
tcf(c_138,negated_conjecture,
ordered_by(sK22(sK26),sK28,sK24),
inference(cnf_transformation,[],[f224]) ).
tcf(c_139,negated_conjecture,
ordered_by(sK22(sK25),sK24,sK27),
inference(cnf_transformation,[],[f225]) ).
tcf(c_140,negated_conjecture,
connect(sK25,sK26,sK24),
inference(cnf_transformation,[],[f217]) ).
tcf(c_282,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_1551,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_282,c_140]) ).
tcf(c_1552,plain,
once(at_the_same_time(at(sK25,sK24),at(sK26,sK24))),
inference(unflattening,[status(thm)],[c_1551]) ).
tcf(c_7958,definition,
iPr_def_10 = at(sK25,sK24),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_7959,definition,
iPr_def_11 = at(sK26,sK24),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_7960,definition,
iPr_def_12 = at_the_same_time(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_7961,definition,
iPr_def_13 = sK22(sK25),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_7962,definition,
iPr_def_14 = sK22(sK26),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_7963,definition,
iPr_def_15 = at(sK25,sK27),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_7964,definition,
iPr_def_16 = at(sK26,sK28),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_7965,definition,
iPr_def_17 = at_the_same_time(iPr_def_15,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_7966,plain,
once(iPr_def_12),
inference(demodulation,[status(thm)],[c_1552,c_7959,c_7958,c_7960]) ).
tcf(c_7967,negated_conjecture,
ordered_by(iPr_def_13,sK24,sK27),
inference(demodulation,[status(thm)],[c_139,c_7961]) ).
tcf(c_7968,negated_conjecture,
ordered_by(iPr_def_14,sK28,sK24),
inference(demodulation,[status(thm)],[c_138,c_7962]) ).
tcf(c_7969,negated_conjecture,
once(iPr_def_17),
inference(demodulation,[status(thm)],[c_137,c_7964,c_7963,c_7965]) ).
tcf(c_14194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ordered_by(sK22(sK26),X2,sK24)
| ~ ordered_by(sK22(X0),X3,X1)
| ~ once(at_the_same_time(at(X0,X3),iPr_def_11))
| ~ once(at_the_same_time(at(X0,X1),at(sK26,X2))) ),
inference(superposition,[status(thm)],[c_7959,c_135]) ).
tcf(c_14199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ordered_by(iPr_def_14,X2,sK24)
| ~ ordered_by(sK22(X0),X3,X1)
| ~ once(at_the_same_time(at(X0,X3),iPr_def_11))
| ~ once(at_the_same_time(at(X0,X1),at(sK26,X2))) ),
inference(light_normalisation,[status(thm)],[c_14194,c_7962]) ).
tcf(c_15644,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ordered_by(iPr_def_14,sK28,sK24)
| ~ ordered_by(sK22(X0),X2,X1)
| ~ once(at_the_same_time(at(X0,X2),iPr_def_11))
| ~ once(at_the_same_time(at(X0,X1),iPr_def_16)) ),
inference(superposition,[status(thm)],[c_7964,c_14199]) ).
tcf(c_15655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ordered_by(sK22(X0),X2,X1)
| ~ once(at_the_same_time(at(X0,X2),iPr_def_11))
| ~ once(at_the_same_time(at(X0,X1),iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15644,c_7968]) ).
tcf(c_15798,plain,
! [X0: $i] :
( ~ once(at_the_same_time(iPr_def_15,iPr_def_16))
| ~ ordered_by(sK22(sK25),X0,sK27)
| ~ once(at_the_same_time(at(sK25,X0),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_7963,c_15655]) ).
tcf(c_15816,plain,
! [X0: $i] :
( ~ once(iPr_def_17)
| ~ ordered_by(iPr_def_13,X0,sK27)
| ~ once(at_the_same_time(at(sK25,X0),iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_15798,c_7961,c_7965]) ).
tcf(c_15817,plain,
! [X0: $i] :
( ~ ordered_by(iPr_def_13,X0,sK27)
| ~ once(at_the_same_time(at(sK25,X0),iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15816,c_7969]) ).
tcf(c_15877,plain,
( ~ once(at_the_same_time(iPr_def_10,iPr_def_11))
| ~ ordered_by(iPr_def_13,sK24,sK27) ),
inference(superposition,[status(thm)],[c_7958,c_15817]) ).
tcf(c_15878,plain,
( ~ once(iPr_def_12)
| ~ ordered_by(iPr_def_13,sK24,sK27) ),
inference(light_normalisation,[status(thm)],[c_15877,c_7960]) ).
tcf(c_15879,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_15878,c_7966,c_7967]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO148+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.44 % Computer : n020.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Wed Sep 23 11:09:49 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.47 Running first-order theorem proving
% 0.18/0.47 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
% 0.18/0.48
% 0.18/0.48 % ======== iProver multi-core TPTP/SMT =========
% 0.18/0.48
% 0.18/0.48 % Detected problem language: tptp
% 0.23/0.49 % Proving...
% 2.80/1.35 % SZS status Started for theBenchmark.p
% 2.80/1.35 % SZS status Theorem for theBenchmark.p
% 2.80/1.35
% 2.80/1.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.80/1.35
% 2.80/1.35 % ------ iProver source info
% 2.80/1.35
% 2.80/1.35 % git: date: 2026-07-19 20:42:38 +0200
% 2.80/1.35 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.80/1.35 % git: non_committed_changes: false
% 2.80/1.35
% 2.80/1.35 % ------ Parsing...
% 2.80/1.35 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.80/1.35
% 2.80/1.35 % ------ 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 %
% 2.80/1.35
% 2.80/1.35 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.80/1.35
% 2.80/1.35 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.80/1.35 % ------ Proving...
% 2.80/1.35 % ------ Problem Properties
% 2.80/1.35
% 2.80/1.35 %
% 2.80/1.35 % clauses 97
% 2.80/1.35 % conjectures 3
% 2.80/1.35 % EPR 28
% 2.80/1.35 % Horn 69
% 2.80/1.35 % unary 16
% 2.80/1.35 % binary 37
% 2.80/1.35 % lits 260
% 2.80/1.35 % lits eq 29
% 2.80/1.35 % fd_pure 0
% 2.80/1.35 % fd_pseudo 0
% 2.80/1.35 % fd_cond 0
% 2.80/1.35 % fd_pseudo_cond 16
% 2.80/1.35 % AC symbols 0
% 2.80/1.35
% 2.80/1.35 % ------ Schedule dynamic 5 is on
% 2.80/1.35
% 2.80/1.35 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.80/1.35
% 2.80/1.35
% 2.80/1.35 % ------
% 2.80/1.35 % Current options:
% 2.80/1.35 % ------
% 2.80/1.35
% 2.80/1.35
% 2.80/1.35 %
% 2.80/1.35
% 2.80/1.35 % ------ Proving...
% 2.80/1.35 %
% 2.80/1.35
% 2.80/1.35 % SZS status Theorem for theBenchmark.p
% 2.80/1.35
% 2.80/1.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.80/1.35
% 2.80/1.35
%------------------------------------------------------------------------------