%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO011-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.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 01:19:31 PM UTC 2026
% Result : Unsatisfiable 5.52s 1.73s
% Output : CNFRefutation 5.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 19 unt; 0 def)
% Number of atoms : 90 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 85 ( 39 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 76 ( 0 sgn 76 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_betweeness) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( between(X0,X1,X3)
| ~ between(X1,X3,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',transitivity_for_betweeness) ).
fof(f5,axiom,
! [X2,X0,X1] :
( X0 = X1
| ~ equidistant(X0,X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( between(X0,outer_pasch(X1,X0,X3,X4,X2),X3)
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,X1,outer_pasch(X1,X0,X3,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).
fof(f13,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
fof(f14,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
fof(f15,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',lower_dimension1) ).
fof(f16,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',lower_dimension2) ).
fof(f17,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',lower_dimension3) ).
fof(f21,axiom,
! [X2,X0,X1] :
( between(X0,X2,X1)
| between(X1,X0,X2)
| between(X0,X1,X2)
| ~ colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-1.ax',colinearity1) ).
fof(f25,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ between(X0,X1,X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X3,X0,X1)
| ~ between(X3,X0,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ equidistant(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( between(X0,outer_pasch(X1,X0,X3,X4,X2),X3)
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( between(X4,X1,outer_pasch(X1,X0,X3,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f14]) ).
tcf(c_88,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnf_transformation,[],[f15]) ).
tcf(c_89,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(cnf_transformation,[],[f16]) ).
tcf(c_90,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(cnf_transformation,[],[f17]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X1,X0,X2)
| between(X0,X2,X1)
| between(X0,X1,X2)
| ~ colinear(X0,X1,X2) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_98,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnf_transformation,[],[f25]) ).
tcf(c_403,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X1,X0,X2)
| between(X0,X2,X1)
| between(X0,X1,X2)
| ( X2 != lower_dimension_point_3 )
| ( X1 != lower_dimension_point_2 )
| ( X0 != lower_dimension_point_1 ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_94]) ).
tcf(c_404,plain,
( between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
inference(unflattening,[status(thm)],[c_403]) ).
tcf(c_405,plain,
( between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(global_subsumption_just,[status(thm)],[c_404,c_88,c_404]) ).
tcf(c_674,plain,
( between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(demodulation,[status(thm)],[c_405]) ).
tcf(c_1025,plain,
! [X0: $i,X1: $i,X2: $i] : extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_87,c_78]) ).
tcf(c_1046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( outer_pasch(X1,X0,X0,X3,X2) = X0 )
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_80,c_74]) ).
tcf(c_1066,plain,
! [X0: $i,X1: $i] : between(X0,X1,X1),
inference(superposition,[status(thm)],[c_1025,c_86]) ).
tcf(c_3837,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( outer_pasch(X1,X0,X0,X2,X1) = X0 )
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1066,c_1046]) ).
tcf(c_5348,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ( outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) = lower_dimension_point_2 ) ),
inference(superposition,[status(thm)],[c_674,c_3837]) ).
tcf(c_5811,plain,
( ( outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) = lower_dimension_point_1 )
| ( outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) = lower_dimension_point_2 ) ),
inference(superposition,[status(thm)],[c_5348,c_3837]) ).
tcf(c_5814,plain,
! [X0: $i] :
( between(X0,lower_dimension_point_1,lower_dimension_point_3)
| ( outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) = lower_dimension_point_2 )
| ~ between(X0,lower_dimension_point_1,lower_dimension_point_2) ),
inference(superposition,[status(thm)],[c_5348,c_75]) ).
tcf(c_5877,plain,
( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ( outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) = lower_dimension_point_2 )
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(superposition,[status(thm)],[c_5811,c_81]) ).
tcf(c_5879,plain,
( ( outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) = lower_dimension_point_2 )
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5877,c_89,c_1066]) ).
tcf(c_5882,plain,
outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) = lower_dimension_point_2,
inference(global_subsumption_just,[status(thm)],[c_5814,c_5348,c_5879]) ).
tcf(c_5884,plain,
( between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)
| ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1) ),
inference(superposition,[status(thm)],[c_5882,c_81]) ).
tcf(c_5886,plain,
~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3),
inference(forward_subsumption_resolution,[status(thm)],[c_5884,c_90,c_1066]) ).
tcf(c_5887,plain,
between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2),
inference(backward_subsumption_resolution,[status(thm)],[c_674,c_5886]) ).
tcf(c_5888,plain,
outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) = lower_dimension_point_1,
inference(superposition,[status(thm)],[c_5887,c_3837]) ).
tcf(c_5903,plain,
( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(superposition,[status(thm)],[c_5888,c_81]) ).
tcf(c_5905,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5903,c_89,c_1066,c_5887]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO011-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 10:19:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 0.10/0.40
% 0.10/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.40
% 0.10/0.40 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 5.52/1.73 % SZS status Started for theBenchmark.p
% 5.52/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 5.52/1.73
% 5.52/1.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.52/1.73
% 5.52/1.73 % ------ iProver source info
% 5.52/1.73
% 5.52/1.73 % git: date: 2026-07-19 20:42:38 +0200
% 5.52/1.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.52/1.73 % git: non_committed_changes: false
% 5.52/1.73
% 5.52/1.73 % ------ Parsing...% successful
% 5.52/1.73
% 5.52/1.73
% 5.52/1.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.52/1.73
% 5.52/1.73 % ------ 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 %
% 5.52/1.73
% 5.52/1.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.52/1.73
% 5.52/1.73 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 5.52/1.73 % ------ Proving...
% 5.52/1.73 % ------ Problem Properties
% 5.52/1.73
% 5.52/1.73 %
% 5.52/1.73 % clauses 21
% 5.52/1.73 % conjectures 0
% 5.52/1.73 % EPR 12
% 5.52/1.73 % Horn 14
% 5.52/1.73 % unary 6
% 5.52/1.73 % binary 3
% 5.52/1.73 % lits 66
% 5.52/1.74 % lits eq 8
% 5.52/1.74 % fd_pure 0
% 5.52/1.74 % fd_pseudo 0
% 5.52/1.74 % fd_cond 0
% 5.52/1.74 % fd_pseudo_cond 8
% 5.52/1.74 % AC symbols 0
% 5.52/1.74
% 5.52/1.74 % ------ Schedule dynamic 5 is on
% 5.52/1.74
% 5.52/1.74 % ------ no conjectures: strip conj schedule
% 5.52/1.74
% 5.52/1.74 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 5.52/1.74
% 5.52/1.74
% 5.52/1.74 % ------
% 5.52/1.74 % Current options:
% 5.52/1.74 % ------
% 5.52/1.74
% 5.52/1.74
% 5.52/1.74 %
% 5.52/1.74
% 5.52/1.74 % ------ Proving...
% 5.52/1.74 %
% 5.52/1.74
% 5.52/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 5.52/1.74
% 5.52/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.52/1.74
% 5.52/1.74
%------------------------------------------------------------------------------