%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO062-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.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 3.84s 1.95s
% Output : CNFRefutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 22 unt; 2 def)
% Number of atoms : 66 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 21 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?; 17 :)
% 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/sandbox2/benchmark/Axioms/GEO002-3.ax',insertion) ).
fof(f32,axiom,
! [X2,X3,X0,X1,X4] :
( between(X1,X2,X0)
| X0 != extension(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b0) ).
fof(f33,plain,
! [X2,X3,X0,X1,X4] :
( between(X1,X2,X0)
| extension(X1,X2,X3,X4) != X0 ),
inference(reorient_equations,[],[f32]) ).
fof(f45,axiom,
! [X2,X0,X1] :
( X2 = extension(X0,X1,X1,X2)
| X0 = X1
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_1) ).
fof(f46,plain,
! [X2,X0,X1] :
( extension(X0,X1,X1,X2) = X2
| X0 = X1
| ~ between(X0,X1,X2) ),
inference(reorient_equations,[],[f45]) ).
fof(f54,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f61,axiom,
! [X2,X3,X0,X1] :
( between(X1,X2,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
fof(f69,axiom,
! [X0,X1] : X0 != extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/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(f82,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f83,negated_conjecture,
v != insertion(u,w,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_equals_insertion) ).
fof(f94,plain,
v != extension(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,u,v),
inference(definition_unfolding,[],[f83,f20]) ).
fof(f95,plain,
! [X2,X3,X1,X4] : between(X1,X2,extension(X1,X2,X3,X4)),
inference(equality_resolution,[],[f33]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f95]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( extension(X0,X1,X1,X2) = X2 )
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i,X2: $i] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X1,X2,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i] : extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2) != X1,
inference(cnf_transformation,[],[f70]) ).
tcf(c_194,plain,
between(u,v,w),
inference(cnf_transformation,[],[f82]) ).
tcf(c_195,negated_conjecture,
extension(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,u,v) != v,
inference(cnf_transformation,[],[f94]) ).
tcf(c_1538,definition,
iPr_def_10 = extension(w,u,lower_dimension_point_1,lower_dimension_point_2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1539,definition,
iPr_def_11 = extension(iPr_def_10,u,u,v),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1540,negated_conjecture,
iPr_def_11 != v,
inference(demodulation,[status(thm)],[c_195,c_1538,c_1539]) ).
tcf(c_2339,plain,
between(w,u,iPr_def_10),
inference(superposition,[status(thm)],[c_1538,c_152]) ).
tcf(c_2360,plain,
between(w,v,u),
inference(superposition,[status(thm)],[c_194,c_168]) ).
tcf(c_2370,plain,
u != iPr_def_10,
inference(superposition,[status(thm)],[c_1538,c_182]) ).
tcf(c_2856,plain,
! [X0: $i] :
( between(v,u,X0)
| ~ between(w,u,X0) ),
inference(superposition,[status(thm)],[c_2360,c_174]) ).
tcf(c_3637,plain,
between(v,u,iPr_def_10),
inference(superposition,[status(thm)],[c_2339,c_2856]) ).
tcf(c_3646,plain,
between(iPr_def_10,u,v),
inference(superposition,[status(thm)],[c_3637,c_168]) ).
tcf(c_3678,plain,
( ( u = iPr_def_10 )
| ( extension(iPr_def_10,u,u,v) = v ) ),
inference(superposition,[status(thm)],[c_3646,c_161]) ).
tcf(c_3694,plain,
( ( v = iPr_def_11 )
| ( u = iPr_def_10 ) ),
inference(light_normalisation,[status(thm)],[c_3678,c_1539]) ).
tcf(c_3695,plain,
v = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_3694,c_2370]) ).
tcf(c_3720,plain,
iPr_def_11 != iPr_def_11,
inference(demodulation,[status(thm)],[c_1540,c_3695]) ).
tcf(c_3721,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_3720]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO062-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/1.02 % Computer : n017.cluster.edu
% 0.10/1.02 % Model : x86_64 x86_64
% 0.10/1.02 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/1.02 % Memory : 8046.5625MB
% 0.10/1.02 % OS : Linux 6.8.0-71-generic
% 0.10/1.02 % CPULimit : 300
% 0.10/1.02 % WCLimit : 300
% 0.10/1.02 % DateTime : Wed Sep 23 10:34:33 UTC 2026
% 0.10/1.02 % CPUTime :
% 0.10/1.02 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/1.06 Running first-order theorem proving
% 0.13/1.06 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
% 0.13/1.07
% 0.13/1.07 % ======== iProver multi-core TPTP/SMT =========
% 0.13/1.07
% 0.13/1.07 % Detected problem language: tptp
% 0.13/1.09 % Proving...
% 3.84/1.95 % SZS status Started for theBenchmark.p
% 3.84/1.95 % SZS status Unsatisfiable for theBenchmark.p
% 3.84/1.95
% 3.84/1.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.84/1.95
% 3.84/1.95 % ------ iProver source info
% 3.84/1.95
% 3.84/1.95 % git: date: 2026-07-19 20:42:38 +0200
% 3.84/1.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.84/1.95 % git: non_committed_changes: false
% 3.84/1.95
% 3.84/1.95 % ------ Parsing...% successful
% 3.84/1.95
% 3.84/1.95
% 3.84/1.95 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.84/1.95
% 3.84/1.95 % ------ 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 %
% 3.84/1.95
% 3.84/1.95 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.84/1.95
% 3.84/1.95 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.84/1.95 % ------ Proving...
% 3.84/1.95 % ------ Problem Properties
% 3.84/1.95
% 3.84/1.95 %
% 3.84/1.95 % clauses 65
% 3.84/1.95 % conjectures 1
% 3.84/1.95 % EPR 42
% 3.84/1.95 % Horn 52
% 3.84/1.95 % unary 22
% 3.84/1.95 % binary 13
% 3.84/1.95 % lits 175
% 3.84/1.95 % lits eq 33
% 3.84/1.95 % fd_pure 0
% 3.84/1.95 % fd_pseudo 0
% 3.84/1.95 % fd_cond 0
% 3.84/1.95 % fd_pseudo_cond 17
% 3.84/1.95 % AC symbols 0
% 3.84/1.95
% 3.84/1.95 % ------ Schedule dynamic 5 is on
% 3.84/1.95
% 3.84/1.95 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.84/1.95
% 3.84/1.95
% 3.84/1.95 % ------
% 3.84/1.95 % Current options:
% 3.84/1.95 % ------
% 3.84/1.95
% 3.84/1.95
% 3.84/1.95 %
% 3.84/1.95
% 3.84/1.95 % ------ Proving...
% 3.84/1.95 %
% 3.84/1.95
% 3.84/1.95 % SZS status Unsatisfiable for theBenchmark.p
% 3.84/1.95
% 3.84/1.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.84/1.95
% 3.84/1.95
%------------------------------------------------------------------------------