%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO063-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 01:19:44 PM UTC 2026
% Result : Unsatisfiable 2.80s 1.19s
% Output : CNFRefutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 20 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X2,X3,X0,X1] : insertion(X0,X1,X2,X3) = extension(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0,X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-3.ax',insertion) ).
fof(f47,axiom,
! [X2,X3,X0,X1,X4,X5] :
( X4 = X5
| extension(X4,X5,X0,X1) = extension(X4,X5,X2,X3)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_2) ).
fof(f69,axiom,
! [X0,X1] : X0 != extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e3_1) ).
fof(f70,plain,
! [X0,X1] : extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2) != X0,
inference(reorient_equations,[],[f69]) ).
fof(f84,axiom,
equidistant(w,x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
fof(f85,negated_conjecture,
insertion(u,v,w,x) != insertion(u,v,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality_of_insertions) ).
fof(f97,plain,
extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,w,x) != extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,y,z),
inference(definition_unfolding,[],[f85,f20,f20]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X4 = X5 )
| ( extension(X4,X5,X0,X1) = extension(X4,X5,X2,X3) )
| ~ equidistant(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i] : extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X1,
inference(cnf_transformation,[],[f70]) ).
tcf(c_196,plain,
equidistant(w,x,y,z),
inference(cnf_transformation,[],[f84]) ).
tcf(c_197,negated_conjecture,
extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,w,x) != extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,y,z),
inference(cnf_transformation,[],[f97]) ).
tcf(c_2273,plain,
( ( extension(v,u,lower_dimension_point_1,lower_dimension_point_2) = u )
| ( extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,w,x) = extension(extension(v,u,lower_dimension_point_1,lower_dimension_point_2),u,y,z) )
| ~ equidistant(w,x,y,z) ),
inference(instantiation,[status(thm)],[c_163]) ).
tcf(c_2846,plain,
extension(v,u,lower_dimension_point_1,lower_dimension_point_2) != u,
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_2847,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2846,c_2273,c_197,c_196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO063-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 10:40:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 2.80/1.19 % SZS status Started for theBenchmark.p
% 2.80/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 2.80/1.19
% 2.80/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.80/1.19
% 2.80/1.19 % ------ iProver source info
% 2.80/1.19
% 2.80/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 2.80/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.80/1.19 % git: non_committed_changes: false
% 2.80/1.19
% 2.80/1.19 % ------ Parsing...% successful
% 2.80/1.19
% 2.80/1.19
% 2.80/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.80/1.19
% 2.80/1.19 % ------ Preprocessing... sup_sim: 0 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 %
% 2.80/1.19
% 2.80/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.80/1.19
% 2.80/1.19 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.80/1.19 % ------ Proving...
% 2.80/1.19 % ------ Problem Properties
% 2.80/1.19
% 2.80/1.19 %
% 2.80/1.19 % clauses 65
% 2.80/1.19 % conjectures 1
% 2.80/1.19 % EPR 41
% 2.80/1.19 % Horn 52
% 2.80/1.19 % unary 21
% 2.80/1.19 % binary 14
% 2.80/1.19 % lits 176
% 2.80/1.19 % lits eq 32
% 2.80/1.19 % fd_pure 0
% 2.80/1.19 % fd_pseudo 0
% 2.80/1.19 % fd_cond 0
% 2.80/1.19 % fd_pseudo_cond 17
% 2.80/1.19 % AC symbols 0
% 2.80/1.19
% 2.80/1.19 % ------ Input Options Time Limit: Unbounded
% 2.80/1.19
% 2.80/1.19
% 2.80/1.19 % ------
% 2.80/1.19 % Current options:
% 2.80/1.19 % ------
% 2.80/1.19
% 2.80/1.19
% 2.80/1.19 %
% 2.80/1.19
% 2.80/1.19 % ------ Proving...
% 2.80/1.19 %
% 2.80/1.19
% 2.80/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 2.80/1.19
% 2.80/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.80/1.19
% 2.80/1.19
%------------------------------------------------------------------------------