%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO126-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 01:19:57 PM UTC 2026
% Result : Unsatisfiable 3.76s 1.17s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 48 ( 17 unt; 0 def)
% Number of atoms : 88 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 38 ~; 40 |; 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 : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 66 ( 0 sgn 66 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0,X1] :
( incident_c(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_13) ).
fof(f30,axiom,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).
fof(f31,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).
fof(f32,axiom,
! [X0,X1] :
( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_23) ).
fof(f40,axiom,
! [X0,X1] :
( ~ end_point(X1,X0)
| ~ closed(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',closed_defn_31) ).
fof(f41,axiom,
! [X0] :
( closed(X0)
| end_point(ax0_sk6(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',closed_defn_32) ).
fof(f42,axiom,
! [X0] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',open_defn_33) ).
fof(f46,axiom,
! [X0] : inner_point(ax0_sk8(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c3_37) ).
fof(f79,axiom,
! [X2,X0,X1] :
( ordered_by(X1,X0,X2)
| ~ incident_o(X2,X1)
| X0 = X2
| ~ start_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',start_point_defn_8) ).
fof(f92,axiom,
! [X0] : open(ax2_sk3(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o2_19) ).
fof(f93,axiom,
! [X0,X1] :
( incident_c(X0,ax2_sk3(X1))
| ~ incident_o(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o2_20) ).
fof(f94,axiom,
! [X0,X1] :
( incident_o(X0,X1)
| ~ incident_c(X0,ax2_sk3(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o2_21) ).
fof(f102,axiom,
! [X0] : start_point(ax2_sk6(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o4_29) ).
fof(f124,negated_conjecture,
! [X0,X1] :
( X0 = X1
| ~ ordered_by(sk25,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_11_133) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] :
( incident_c(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i] :
( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i] :
( ~ closed(X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_174,plain,
! [X0: $i] :
( closed(X0)
| end_point(ax0_sk6(X0),X0) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_175,plain,
! [X0: $i] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_179,plain,
! [X0: $i] : inner_point(ax0_sk8(X0),X0),
inference(cnf_transformation,[],[f46]) ).
tcf(c_202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ordered_by(X1,X0,X2)
| ( X0 = X2 )
| ~ incident_o(X2,X1)
| ~ start_point(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_213,plain,
! [X0: $i] : open(ax2_sk3(X0)),
inference(cnf_transformation,[],[f92]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i] :
( incident_c(X0,ax2_sk3(X1))
| ~ incident_o(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i] :
( incident_o(X0,X1)
| ~ incident_c(X0,ax2_sk3(X1)) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_221,plain,
! [X0: $i] : start_point(ax2_sk6(X0),X0),
inference(cnf_transformation,[],[f102]) ).
tcf(c_231,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ordered_by(sk25,X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_2921,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ordered_by(sk25,X0,X1) ),
inference(demodulation,[status(thm)],[c_231]) ).
tcf(c_4805,plain,
! [X0: $i] :
( closed(X0)
| incident_c(ax0_sk6(X0),X0) ),
inference(superposition,[status(thm)],[c_174,c_155]) ).
tcf(c_4813,plain,
! [X0: $i] : incident_c(ax0_sk8(X0),X0),
inference(superposition,[status(thm)],[c_179,c_163]) ).
tcf(c_4823,plain,
! [X0: $i] :
( ~ closed(X0)
| ~ open(X0) ),
inference(superposition,[status(thm)],[c_175,c_173]) ).
tcf(c_4840,plain,
! [X0: $i] : ~ closed(ax2_sk3(X0)),
inference(superposition,[status(thm)],[c_213,c_4823]) ).
tcf(c_4864,plain,
! [X0: $i] :
( closed(X0)
| ~ inner_point(ax0_sk6(X0),X0) ),
inference(superposition,[status(thm)],[c_174,c_164]) ).
tcf(c_4908,plain,
! [X0: $i] : incident_o(ax0_sk8(ax2_sk3(X0)),X0),
inference(superposition,[status(thm)],[c_4813,c_215]) ).
tcf(c_4909,plain,
! [X0: $i] :
( closed(ax2_sk3(X0))
| incident_o(ax0_sk6(ax2_sk3(X0)),X0) ),
inference(superposition,[status(thm)],[c_4805,c_215]) ).
tcf(c_4911,plain,
! [X0: $i] : incident_o(ax0_sk6(ax2_sk3(X0)),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_4909,c_4840]) ).
tcf(c_5005,plain,
! [X0: $i,X1: $i] :
( inner_point(X0,ax2_sk3(X1))
| end_point(X0,ax2_sk3(X1))
| ~ incident_o(X0,X1) ),
inference(superposition,[status(thm)],[c_214,c_165]) ).
tcf(c_5491,plain,
! [X0: $i] :
( closed(ax2_sk3(X0))
| end_point(ax0_sk6(ax2_sk3(X0)),ax2_sk3(X0))
| ~ incident_o(ax0_sk6(ax2_sk3(X0)),X0) ),
inference(superposition,[status(thm)],[c_5005,c_4864]) ).
tcf(c_5494,plain,
! [X0: $i] : end_point(ax0_sk6(ax2_sk3(X0)),ax2_sk3(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_5491,c_4840,c_4911]) ).
tcf(c_5504,plain,
! [X0: $i] : ~ inner_point(ax0_sk6(ax2_sk3(X0)),ax2_sk3(X0)),
inference(superposition,[status(thm)],[c_5494,c_164]) ).
tcf(c_5912,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ incident_o(X1,sk25)
| ~ start_point(X0,sk25) ),
inference(superposition,[status(thm)],[c_202,c_2921]) ).
tcf(c_6096,plain,
! [X0: $i] :
( ( ax2_sk6(sk25) = X0 )
| ~ incident_o(X0,sk25) ),
inference(superposition,[status(thm)],[c_221,c_5912]) ).
tcf(c_6108,plain,
ax0_sk8(ax2_sk3(sk25)) = ax2_sk6(sk25),
inference(superposition,[status(thm)],[c_4908,c_6096]) ).
tcf(c_6109,plain,
ax0_sk6(ax2_sk3(sk25)) = ax2_sk6(sk25),
inference(superposition,[status(thm)],[c_4911,c_6096]) ).
tcf(c_6144,plain,
inner_point(ax2_sk6(sk25),ax2_sk3(sk25)),
inference(superposition,[status(thm)],[c_6108,c_179]) ).
tcf(c_6163,plain,
~ inner_point(ax2_sk6(sk25),ax2_sk3(sk25)),
inference(superposition,[status(thm)],[c_6109,c_5504]) ).
tcf(c_6167,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6163,c_6144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO126-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n018.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 11:03:47 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 3.76/1.17 % SZS status Started for theBenchmark.p
% 3.76/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.76/1.17
% 3.76/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.76/1.17
% 3.76/1.17 % ------ iProver source info
% 3.76/1.17
% 3.76/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 3.76/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.76/1.17 % git: non_committed_changes: false
% 3.76/1.17
% 3.76/1.17 % ------ Parsing...% successful
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.76/1.17
% 3.76/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.76/1.17
% 3.76/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.76/1.17
% 3.76/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.76/1.17 % ------ Proving...
% 3.76/1.17 % ------ Problem Properties
% 3.76/1.17
% 3.76/1.17 %
% 3.76/1.17 % clauses 86
% 3.76/1.17 % conjectures 1
% 3.76/1.17 % EPR 30
% 3.76/1.17 % Horn 55
% 3.76/1.17 % unary 4
% 3.76/1.17 % binary 34
% 3.76/1.17 % lits 255
% 3.76/1.17 % lits eq 25
% 3.76/1.17 % fd_pure 0
% 3.76/1.17 % fd_pseudo 0
% 3.76/1.17 % fd_cond 0
% 3.76/1.17 % fd_pseudo_cond 18
% 3.76/1.17 % AC symbols 0
% 3.76/1.17
% 3.76/1.17 % ------ Schedule dynamic 5 is on
% 3.76/1.17
% 3.76/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17 % ------
% 3.76/1.17 % Current options:
% 3.76/1.17 % ------
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17 %
% 3.76/1.17
% 3.76/1.17 % ------ Proving...
% 3.76/1.17 %
% 3.76/1.17
% 3.76/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.76/1.17
% 3.76/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.76/1.17
% 3.76/1.17
%------------------------------------------------------------------------------