%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO036-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 3.05s 16.34s
% Output : CNFRefutation 3.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 15 unt; 0 def)
% Number of atoms : 35 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( X0 = X1
| ~ equidistant(X0,X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f10,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension2) ).
fof(f12,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension3) ).
fof(f19,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/sandbox2/benchmark/theBenchmark.p',prove_axioms_points_are_distinct) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ equidistant(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f5]) ).
tcf(c_77,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnf_transformation,[],[f10]) ).
tcf(c_78,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(cnf_transformation,[],[f11]) ).
tcf(c_79,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(cnf_transformation,[],[f12]) ).
tcf(c_86,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,[],[f19]) ).
tcf(c_323,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_86]) ).
tcf(c_624,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_323,c_77]) ).
tcf(c_675,plain,
! [X0: $i,X1: $i,X2: $i] : extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_72,c_70]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i] : between(X0,X1,X1),
inference(superposition,[status(thm)],[c_675,c_71]) ).
tcf(c_679,plain,
( ( lower_dimension_point_1 = lower_dimension_point_3 )
| ( lower_dimension_point_1 = lower_dimension_point_2 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_624,c_677]) ).
tcf(c_693,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_679,c_78]) ).
tcf(c_697,plain,
lower_dimension_point_1 = lower_dimension_point_2,
inference(forward_subsumption_resolution,[status(thm)],[c_693,c_677]) ).
tcf(c_698,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1),
inference(demodulation,[status(thm)],[c_79,c_697]) ).
tcf(c_701,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_698,c_677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO036-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/15.43 % CPULimit : 300
% 0.08/15.43 % WCLimit : 300
% 0.08/15.43 % DateTime : Wed Sep 23 10:35:25 UTC 2026
% 0.08/15.43 % CPUTime :
% 0.08/15.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/15.47 Running first-order theorem proving
% 0.08/15.47 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
% 0.08/15.48
% 0.08/15.48 % ======== iProver multi-core TPTP/SMT =========
% 0.08/15.48
% 0.08/15.48 % Detected problem language: tptp
% 0.08/15.49 % Proving...
% 3.05/16.34 % SZS status Started for theBenchmark.p
% 3.05/16.34 % SZS status Unsatisfiable for theBenchmark.p
% 3.05/16.34
% 3.05/16.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.05/16.34
% 3.05/16.34 % ------ iProver source info
% 3.05/16.34
% 3.05/16.34 % git: date: 2026-07-19 20:42:38 +0200
% 3.05/16.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.05/16.34 % git: non_committed_changes: false
% 3.05/16.34
% 3.05/16.34 % ------ Parsing...% successful
% 3.05/16.34
% 3.05/16.34
% 3.05/16.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.05/16.34
% 3.05/16.34 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.05/16.34
% 3.05/16.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.05/16.34
% 3.05/16.34 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.05/16.34 % ------ Proving...
% 3.05/16.34 % ------ Problem Properties
% 3.05/16.34
% 3.05/16.34 %
% 3.05/16.34 % clauses 19
% 3.05/16.34 % conjectures 1
% 3.05/16.34 % EPR 10
% 3.05/16.34 % Horn 13
% 3.05/16.34 % unary 6
% 3.05/16.34 % binary 2
% 3.05/16.34 % lits 59
% 3.05/16.34 % lits eq 10
% 3.05/16.34 % fd_pure 0
% 3.05/16.34 % fd_pseudo 0
% 3.05/16.34 % fd_cond 0
% 3.05/16.34 % fd_pseudo_cond 7
% 3.05/16.34 % AC symbols 0
% 3.05/16.34
% 3.05/16.34 % ------ Schedule dynamic 5 is on
% 3.05/16.34
% 3.05/16.34 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.05/16.34
% 3.05/16.34
% 3.05/16.34 % ------
% 3.05/16.34 % Current options:
% 3.05/16.34 % ------
% 3.05/16.34
% 3.05/16.34
% 3.05/16.34 %
% 3.05/16.34
% 3.05/16.34 % ------ Proving...
% 3.05/16.34 %
% 3.05/16.34
% 3.05/16.34 % SZS status Unsatisfiable for theBenchmark.p
% 3.05/16.34
% 3.05/16.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.05/16.34
% 3.05/16.34
%------------------------------------------------------------------------------