%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO093-1 : 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 : n007.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 01:19:52 PM UTC 2026
% Result : Unsatisfiable 8.11s 1.73s
% Output : CNFRefutation 8.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 55 ( 20 unt; 1 def)
% Number of atoms : 160 ( 12 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 131 ( 57 ~; 74 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 8 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
fof(f2,axiom,
! [X0,X1] :
( part_of(X0,X1)
| incident_c(ax0_sk1(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).
fof(f3,axiom,
! [X0,X1] :
( part_of(X0,X1)
| ~ incident_c(ax0_sk1(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',part_of_defn_3) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( incident_c(X3,X2)
| incident_c(X3,X1)
| ~ incident_c(X3,X0)
| X0 != sum(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_4) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( incident_c(X3,X2)
| incident_c(X3,X1)
| ~ incident_c(X3,X0)
| sum(X1,X2) != X0 ),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1)
| X0 != sum(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',sum_defn_5) ).
fof(f7,plain,
! [X2,X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1)
| sum(X1,X2) != X0 ),
inference(reorient_equations,[],[f6]) ).
fof(f23,axiom,
! [X2,X3,X0,X1] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_14) ).
fof(f33,axiom,
! [X2,X0,X1] :
( incident_c(X0,X1)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',meet_defn_24) ).
fof(f44,axiom,
! [X0,X1] :
( open(X0)
| X0 = X1
| ~ part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c1_35) ).
fof(f66,negated_conjecture,
open(sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_2_67) ).
fof(f67,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_2_68) ).
fof(f68,negated_conjecture,
part_of(sk16,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_2_69) ).
fof(f69,negated_conjecture,
meet(sk17,sk15,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_2_70) ).
fof(f70,negated_conjecture,
~ open(sum(sk15,sk16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_2_71) ).
fof(f71,plain,
! [X2,X3,X1] :
( incident_c(X3,X2)
| incident_c(X3,X1)
| ~ incident_c(X3,sum(X1,X2)) ),
inference(equality_resolution,[],[f5]) ).
fof(f72,plain,
! [X2,X3,X1] :
( incident_c(X3,sum(X1,X2))
| ~ incident_c(X3,X1) ),
inference(equality_resolution,[],[f7]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( part_of(X0,X1)
| incident_c(ax0_sk1(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] :
( part_of(X0,X1)
| ~ incident_c(ax0_sk1(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_c(X0,X2)
| incident_c(X0,X1)
| ~ incident_c(X0,sum(X1,X2)) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_c(X0,sum(X1,X2))
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( part_of(X2,X0)
| part_of(X0,X2)
| ~ end_point(X3,X1)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X0)
| ~ part_of(X2,X1)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_c(X0,X1)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] :
( open(X0)
| ( X0 = X1 )
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_145,negated_conjecture,
open(sk14),
inference(cnf_transformation,[],[f66]) ).
tcf(c_146,negated_conjecture,
part_of(sk15,sk14),
inference(cnf_transformation,[],[f67]) ).
tcf(c_147,negated_conjecture,
part_of(sk16,sk14),
inference(cnf_transformation,[],[f68]) ).
tcf(c_148,negated_conjecture,
meet(sk17,sk15,sk16),
inference(cnf_transformation,[],[f69]) ).
tcf(c_149,negated_conjecture,
~ open(sum(sk15,sk16)),
inference(cnf_transformation,[],[f70]) ).
tcf(c_876,definition,
iPr_def_10 = sum(sk15,sk16),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_877,negated_conjecture,
~ open(iPr_def_10),
inference(demodulation,[status(thm)],[c_149,c_876]) ).
tcf(c_878,negated_conjecture,
meet(sk17,sk15,sk16),
inference(demodulation,[status(thm)],[c_148]) ).
tcf(c_879,negated_conjecture,
part_of(sk16,sk14),
inference(demodulation,[status(thm)],[c_147]) ).
tcf(c_880,negated_conjecture,
part_of(sk15,sk14),
inference(demodulation,[status(thm)],[c_146]) ).
tcf(c_885,plain,
! [X0: $i,X1: $i] :
( open(X0)
| ~ open(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1663,plain,
incident_c(sk17,sk15),
inference(superposition,[status(thm)],[c_878,c_122]) ).
tcf(c_1675,plain,
! [X0: $i] :
( incident_c(X0,sk14)
| ~ incident_c(X0,sk15) ),
inference(superposition,[status(thm)],[c_880,c_102]) ).
tcf(c_1676,plain,
! [X0: $i] :
( incident_c(X0,sk14)
| ~ incident_c(X0,sk16) ),
inference(superposition,[status(thm)],[c_879,c_102]) ).
tcf(c_1693,plain,
! [X0: $i] :
( incident_c(X0,iPr_def_10)
| ~ incident_c(X0,sk15) ),
inference(superposition,[status(thm)],[c_876,c_106]) ).
tcf(c_1876,plain,
! [X0: $i] :
( incident_c(X0,sk16)
| incident_c(X0,sk15)
| ~ incident_c(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_876,c_105]) ).
tcf(c_1975,plain,
! [X0: $i] :
( open(iPr_def_10)
| ~ open(X0)
| ( iPr_def_10 != X0 ) ),
inference(instantiation,[status(thm)],[c_885]) ).
tcf(c_1976,plain,
( open(iPr_def_10)
| ~ open(sk14)
| ( iPr_def_10 != sk14 ) ),
inference(instantiation,[status(thm)],[c_1975]) ).
tcf(c_2090,plain,
! [X0: $i] :
( open(iPr_def_10)
| ( iPr_def_10 = X0 )
| ~ part_of(iPr_def_10,X0) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_2091,plain,
( open(iPr_def_10)
| ( iPr_def_10 = sk14 )
| ~ part_of(iPr_def_10,sk14) ),
inference(instantiation,[status(thm)],[c_2090]) ).
tcf(c_2139,plain,
incident_c(sk17,iPr_def_10),
inference(superposition,[status(thm)],[c_1663,c_1693]) ).
tcf(c_3852,plain,
! [X0: $i,X1: $i] :
( part_of(sk15,X1)
| part_of(X1,sk15)
| ~ end_point(X0,sk14)
| ~ incident_c(X0,sk15)
| ~ part_of(X1,sk14)
| ~ incident_c(X0,X1) ),
inference(superposition,[status(thm)],[c_880,c_112]) ).
tcf(c_3957,plain,
( part_of(iPr_def_10,sk15)
| part_of(sk15,iPr_def_10)
| ~ end_point(sk17,sk14)
| ~ incident_c(sk17,sk15)
| ~ part_of(iPr_def_10,sk14) ),
inference(superposition,[status(thm)],[c_2139,c_3852]) ).
tcf(c_3973,plain,
( part_of(iPr_def_10,sk15)
| part_of(sk15,iPr_def_10)
| ~ end_point(sk17,sk14)
| ~ part_of(iPr_def_10,sk14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3957,c_1663]) ).
tcf(c_4481,plain,
~ part_of(iPr_def_10,sk14),
inference(global_subsumption_just,[status(thm)],[c_3973,c_145,c_877,c_1976,c_2091]) ).
tcf(c_10201,plain,
! [X0: $i] :
( part_of(iPr_def_10,X0)
| incident_c(ax0_sk1(iPr_def_10,X0),sk16)
| incident_c(ax0_sk1(iPr_def_10,X0),sk15) ),
inference(superposition,[status(thm)],[c_103,c_1876]) ).
tcf(c_17617,plain,
! [X0: $i] :
( part_of(iPr_def_10,X0)
| incident_c(ax0_sk1(iPr_def_10,X0),sk15)
| incident_c(ax0_sk1(iPr_def_10,X0),sk14) ),
inference(superposition,[status(thm)],[c_10201,c_1676]) ).
tcf(c_17722,plain,
! [X0: $i] :
( part_of(iPr_def_10,X0)
| incident_c(ax0_sk1(iPr_def_10,X0),sk14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17617,c_1675]) ).
tcf(c_17729,plain,
part_of(iPr_def_10,sk14),
inference(superposition,[status(thm)],[c_17722,c_104]) ).
tcf(c_17737,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_17729,c_4481]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO093-1 : 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 : n007.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 10:47:38 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 8.11/1.73 % SZS status Started for theBenchmark.p
% 8.11/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 8.11/1.73
% 8.11/1.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.11/1.73
% 8.11/1.73 % ------ iProver source info
% 8.11/1.73
% 8.11/1.73 % git: date: 2026-07-19 20:42:38 +0200
% 8.11/1.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.11/1.73 % git: non_committed_changes: false
% 8.11/1.73
% 8.11/1.73 % ------ Parsing...% successful
% 8.11/1.73
% 8.11/1.73
% 8.11/1.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.11/1.73
% 8.11/1.73 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 8.11/1.73
% 8.11/1.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.11/1.73
% 8.11/1.73 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.11/1.73 % ------ Proving...
% 8.11/1.73 % ------ Problem Properties
% 8.11/1.73
% 8.11/1.73 %
% 8.11/1.73 % clauses 49
% 8.11/1.73 % conjectures 5
% 8.11/1.73 % EPR 20
% 8.11/1.73 % Horn 33
% 8.11/1.73 % unary 7
% 8.11/1.73 % binary 18
% 8.11/1.73 % lits 139
% 8.11/1.73 % lits eq 13
% 8.11/1.73 % fd_pure 0
% 8.11/1.73 % fd_pseudo 0
% 8.11/1.73 % fd_cond 0
% 8.11/1.73 % fd_pseudo_cond 7
% 8.11/1.73 % AC symbols 0
% 8.11/1.73
% 8.11/1.73 % ------ Schedule dynamic 5 is on
% 8.11/1.73
% 8.11/1.73 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.11/1.73
% 8.11/1.73
% 8.11/1.73 % ------
% 8.11/1.73 % Current options:
% 8.11/1.73 % ------
% 8.11/1.73
% 8.11/1.73
% 8.11/1.73 %
% 8.11/1.73
% 8.11/1.73 % ------ Proving...
% 8.11/1.73 %
% 8.11/1.73
% 8.11/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 8.11/1.73
% 8.11/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.11/1.73
% 8.11/1.73
%------------------------------------------------------------------------------