%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO036-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 01:19:38 PM UTC 2026
% Result : Unsatisfiable 2.81s 6.50s
% Output : CNFRefutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 27 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension1) ).
fof(f11,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension2) ).
fof(f51,axiom,
! [X0,X1] : between(X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
fof(f54,axiom,
! [X0,X1] : between(X0,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).
fof(f65,negated_conjecture,
( lower_dimension_point_1 = lower_dimension_point_3
| lower_dimension_point_2 = lower_dimension_point_3
| lower_dimension_point_1 = lower_dimension_point_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_axioms_points_are_distinct) ).
tcf(c_116,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnf_transformation,[],[f10]) ).
tcf(c_117,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(cnf_transformation,[],[f11]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] : between(X0,X1,X1),
inference(cnf_transformation,[],[f51]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] : between(X0,X0,X1),
inference(cnf_transformation,[],[f54]) ).
tcf(c_162,negated_conjecture,
( ( lower_dimension_point_2 = lower_dimension_point_3 )
| ( lower_dimension_point_1 = lower_dimension_point_3 )
| ( lower_dimension_point_1 = lower_dimension_point_2 ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_1176,negated_conjecture,
( ( lower_dimension_point_2 = lower_dimension_point_3 )
| ( lower_dimension_point_1 = lower_dimension_point_3 )
| ( lower_dimension_point_1 = lower_dimension_point_2 ) ),
inference(demodulation,[status(thm)],[c_162]) ).
tcf(c_1771,plain,
( ( lower_dimension_point_1 = lower_dimension_point_3 )
| ( lower_dimension_point_1 = lower_dimension_point_2 )
| ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2) ),
inference(superposition,[status(thm)],[c_1176,c_116]) ).
tcf(c_1772,plain,
( ( lower_dimension_point_1 = lower_dimension_point_3 )
| ( lower_dimension_point_1 = lower_dimension_point_2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1771,c_149]) ).
tcf(c_1784,plain,
( ( lower_dimension_point_1 = lower_dimension_point_2 )
| ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1) ),
inference(superposition,[status(thm)],[c_1772,c_117]) ).
tcf(c_1785,plain,
lower_dimension_point_1 = lower_dimension_point_2,
inference(forward_subsumption_resolution,[status(thm)],[c_1784,c_149]) ).
tcf(c_1787,plain,
~ between(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_3),
inference(demodulation,[status(thm)],[c_116,c_1785]) ).
tcf(c_1788,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1787,c_152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.59 % Computer : n001.cluster.edu
% 0.11/5.59 % Model : x86_64 x86_64
% 0.11/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.59 % Memory : 8046.5625MB
% 0.11/5.59 % OS : Linux 6.8.0-71-generic
% 0.11/5.59 % CPULimit : 300
% 0.11/5.59 % WCLimit : 300
% 0.11/5.59 % DateTime : Wed Sep 23 10:36:09 UTC 2026
% 0.11/5.59 % CPUTime :
% 0.11/5.59 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.63 Running first-order theorem proving
% 0.15/5.63 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
% 0.15/5.64
% 0.15/5.64 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.64
% 0.15/5.64 % Detected problem language: tptp
% 0.15/5.66 % Proving...
% 2.81/6.50 % SZS status Started for theBenchmark.p
% 2.81/6.50 % SZS status Unsatisfiable for theBenchmark.p
% 2.81/6.50
% 2.81/6.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.81/6.50
% 2.81/6.50 % ------ iProver source info
% 2.81/6.50
% 2.81/6.50 % git: date: 2026-07-19 20:42:38 +0200
% 2.81/6.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.81/6.50 % git: non_committed_changes: false
% 2.81/6.50
% 2.81/6.50 % ------ Parsing...% successful
% 2.81/6.50
% 2.81/6.50
% 2.81/6.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.81/6.50
% 2.81/6.50 % ------ Preprocessing... sup_sim: 1 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 %
% 2.81/6.50
% 2.81/6.50 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.81/6.50
% 2.81/6.50 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.81/6.50 % ------ Proving...
% 2.81/6.50 % ------ Problem Properties
% 2.81/6.50
% 2.81/6.50 %
% 2.81/6.50 % clauses 48
% 2.81/6.50 % conjectures 1
% 2.81/6.50 % EPR 33
% 2.81/6.50 % Horn 36
% 2.81/6.50 % unary 12
% 2.81/6.50 % binary 13
% 2.81/6.50 % lits 129
% 2.81/6.50 % lits eq 26
% 2.81/6.50 % fd_pure 0
% 2.81/6.50 % fd_pseudo 0
% 2.81/6.50 % fd_cond 0
% 2.81/6.50 % fd_pseudo_cond 15
% 2.81/6.50 % AC symbols 0
% 2.81/6.50
% 2.81/6.50 % ------ Schedule dynamic 5 is on
% 2.81/6.50
% 2.81/6.50 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.81/6.50
% 2.81/6.50
% 2.81/6.50 % ------
% 2.81/6.50 % Current options:
% 2.81/6.50 % ------
% 2.81/6.50
% 2.81/6.50
% 2.81/6.50 %
% 2.81/6.50
% 2.81/6.50 % ------ Proving...
% 2.81/6.50 %
% 2.81/6.50
% 2.81/6.50 % SZS status Unsatisfiable for theBenchmark.p
% 2.81/6.50
% 2.81/6.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.81/6.50
% 2.81/6.50
%------------------------------------------------------------------------------