%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO088-1 : 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 : n006.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 01:19:51 PM UTC 2026
% Result : Unsatisfiable 50.69s 21.69s
% Output : CNFRefutation 50.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 9 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 169 ( 75 ~; 94 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?; 31 :)
% 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(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(f24,axiom,
! [X0,X1] :
( end_point(X0,X1)
| part_of(ax0_sk3(X1,X0),X1)
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_15) ).
fof(f25,axiom,
! [X0,X1] :
( end_point(X0,X1)
| part_of(ax0_sk4(X1,X0),X1)
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_16) ).
fof(f26,axiom,
! [X0,X1] :
( end_point(X0,X1)
| incident_c(X0,ax0_sk3(X1,X0))
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_17) ).
fof(f27,axiom,
! [X0,X1] :
( end_point(X0,X1)
| incident_c(X0,ax0_sk4(X1,X0))
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_18) ).
fof(f28,axiom,
! [X0,X1] :
( end_point(X0,X1)
| ~ part_of(ax0_sk3(X1,X0),ax0_sk4(X1,X0))
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_19) ).
fof(f29,axiom,
! [X0,X1] :
( end_point(X0,X1)
| ~ part_of(ax0_sk4(X1,X0),ax0_sk3(X1,X0))
| ~ incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_20) ).
fof(f66,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_10_67) ).
fof(f67,negated_conjecture,
end_point(sk16,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_10_68) ).
fof(f68,negated_conjecture,
incident_c(sk16,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_10_69) ).
fof(f69,negated_conjecture,
~ end_point(sk16,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_10_70) ).
tcf(c_101,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_102,plain,
! [X0: $i,X1: $i] :
( part_of(X0,X1)
| incident_c(ax0_sk1(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( part_of(X0,X1)
| ~ incident_c(ax0_sk1(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( part_of(X2,X0)
| part_of(X0,X2)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X0)
| ~ end_point(X3,X1)
| ~ part_of(X2,X1)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] :
( end_point(X0,X1)
| part_of(ax0_sk3(X1,X0),X1)
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] :
( end_point(X0,X1)
| part_of(ax0_sk4(X1,X0),X1)
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( end_point(X0,X1)
| incident_c(X0,ax0_sk3(X1,X0))
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] :
( end_point(X0,X1)
| incident_c(X0,ax0_sk4(X1,X0))
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( end_point(X1,X0)
| ~ incident_c(X1,X0)
| ~ part_of(ax0_sk3(X0,X1),ax0_sk4(X0,X1)) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] :
( end_point(X1,X0)
| ~ incident_c(X1,X0)
| ~ part_of(ax0_sk4(X0,X1),ax0_sk3(X0,X1)) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_144,negated_conjecture,
part_of(sk15,sk14),
inference(cnf_transformation,[],[f66]) ).
tcf(c_145,negated_conjecture,
end_point(sk16,sk14),
inference(cnf_transformation,[],[f67]) ).
tcf(c_146,negated_conjecture,
incident_c(sk16,sk15),
inference(cnf_transformation,[],[f68]) ).
tcf(c_147,negated_conjecture,
~ end_point(sk16,sk15),
inference(cnf_transformation,[],[f69]) ).
tcf(c_1541,plain,
( end_point(sk16,sk15)
| part_of(ax0_sk3(sk15,sk16),sk15)
| ~ incident_c(sk16,sk15) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_1542,plain,
( end_point(sk16,sk15)
| part_of(ax0_sk4(sk15,sk16),sk15)
| ~ incident_c(sk16,sk15) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_1545,plain,
( end_point(sk16,sk15)
| incident_c(sk16,ax0_sk3(sk15,sk16))
| ~ incident_c(sk16,sk15) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_1546,plain,
( end_point(sk16,sk15)
| incident_c(sk16,ax0_sk4(sk15,sk16))
| ~ incident_c(sk16,sk15) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_1547,plain,
( end_point(sk16,sk15)
| ~ incident_c(sk16,sk15)
| ~ part_of(ax0_sk3(sk15,sk16),ax0_sk4(sk15,sk16)) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_1548,plain,
( end_point(sk16,sk15)
| ~ incident_c(sk16,sk15)
| ~ part_of(ax0_sk4(sk15,sk16),ax0_sk3(sk15,sk16)) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_1784,plain,
! [X0: $i,X1: $i] :
( part_of(ax0_sk4(sk15,sk16),ax0_sk3(sk15,sk16))
| part_of(ax0_sk3(sk15,sk16),ax0_sk4(sk15,sk16))
| ~ end_point(X1,X0)
| ~ incident_c(X1,ax0_sk4(sk15,sk16))
| ~ incident_c(X1,ax0_sk3(sk15,sk16))
| ~ part_of(ax0_sk4(sk15,sk16),X0)
| ~ part_of(ax0_sk3(sk15,sk16),X0) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_4808,plain,
! [X0: $i] :
( part_of(ax0_sk4(sk15,sk16),ax0_sk3(sk15,sk16))
| part_of(ax0_sk3(sk15,sk16),ax0_sk4(sk15,sk16))
| ~ end_point(sk16,X0)
| ~ incident_c(sk16,ax0_sk4(sk15,sk16))
| ~ incident_c(sk16,ax0_sk3(sk15,sk16))
| ~ part_of(ax0_sk4(sk15,sk16),X0)
| ~ part_of(ax0_sk3(sk15,sk16),X0) ),
inference(instantiation,[status(thm)],[c_1784]) ).
tcf(c_7534,plain,
( part_of(ax0_sk4(sk15,sk16),ax0_sk3(sk15,sk16))
| part_of(ax0_sk3(sk15,sk16),ax0_sk4(sk15,sk16))
| ~ end_point(sk16,sk14)
| ~ incident_c(sk16,ax0_sk4(sk15,sk16))
| ~ incident_c(sk16,ax0_sk3(sk15,sk16))
| ~ part_of(ax0_sk4(sk15,sk16),sk14)
| ~ part_of(ax0_sk3(sk15,sk16),sk14) ),
inference(instantiation,[status(thm)],[c_4808]) ).
tcf(c_14767,plain,
( part_of(ax0_sk3(sk15,sk16),sk14)
| ~ incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),sk14) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_14768,plain,
( part_of(ax0_sk3(sk15,sk16),sk14)
| incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),ax0_sk3(sk15,sk16)) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_23392,plain,
( part_of(ax0_sk4(sk15,sk16),sk14)
| ~ incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),sk14) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_23393,plain,
( part_of(ax0_sk4(sk15,sk16),sk14)
| incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),ax0_sk4(sk15,sk16)) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_30196,plain,
! [X0: $i] :
( incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),sk14)
| ~ part_of(X0,sk14)
| ~ incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_30197,plain,
( incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),sk14)
| ~ part_of(sk15,sk14)
| ~ incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),sk15) ),
inference(instantiation,[status(thm)],[c_30196]) ).
tcf(c_54441,plain,
! [X0: $i,X1: $i] :
( incident_c(ax0_sk1(ax0_sk4(X0,sk16),sk14),sk14)
| ~ part_of(X1,sk14)
| ~ incident_c(ax0_sk1(ax0_sk4(X0,sk16),sk14),X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_54442,plain,
( incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),sk14)
| ~ part_of(sk15,sk14)
| ~ incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),sk15) ),
inference(instantiation,[status(thm)],[c_54441]) ).
tcf(c_73412,plain,
! [X0: $i] :
( incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),X0)
| ~ part_of(ax0_sk4(sk15,sk16),X0)
| ~ incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),ax0_sk4(sk15,sk16)) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_73413,plain,
( incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),sk15)
| ~ part_of(ax0_sk4(sk15,sk16),sk15)
| ~ incident_c(ax0_sk1(ax0_sk4(sk15,sk16),sk14),ax0_sk4(sk15,sk16)) ),
inference(instantiation,[status(thm)],[c_73412]) ).
tcf(c_80470,plain,
! [X0: $i] :
( incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),X0)
| ~ part_of(ax0_sk3(sk15,sk16),X0)
| ~ incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),ax0_sk3(sk15,sk16)) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_80471,plain,
( incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),sk15)
| ~ part_of(ax0_sk3(sk15,sk16),sk15)
| ~ incident_c(ax0_sk1(ax0_sk3(sk15,sk16),sk14),ax0_sk3(sk15,sk16)) ),
inference(instantiation,[status(thm)],[c_80470]) ).
tcf(c_82305,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_80471,c_73413,c_54442,c_30197,c_23392,c_23393,c_14767,c_14768,c_7534,c_1548,c_1547,c_1546,c_1545,c_1542,c_1541,c_147,c_144,c_145,c_146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO088-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.60 % Computer : n006.cluster.edu
% 0.11/10.60 % Model : x86_64 x86_64
% 0.11/10.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.60 % Memory : 8046.5625MB
% 0.11/10.60 % OS : Linux 6.8.0-71-generic
% 0.11/10.60 % CPULimit : 300
% 0.11/10.60 % WCLimit : 300
% 0.11/10.60 % DateTime : Wed Sep 23 10:47:23 UTC 2026
% 0.11/10.60 % CPUTime :
% 0.11/10.60 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.64 Running first-order theorem proving
% 0.11/10.64 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
% 0.11/10.65
% 0.11/10.65 % ======== iProver multi-core TPTP/SMT =========
% 0.11/10.65
% 0.11/10.65 % Detected problem language: tptp
% 0.11/10.66 % Proving...
% 50.69/21.69 % SZS status Started for theBenchmark.p
% 50.69/21.69 % SZS status Unsatisfiable for theBenchmark.p
% 50.69/21.69
% 50.69/21.69 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 50.69/21.69
% 50.69/21.69 % ------ iProver source info
% 50.69/21.69
% 50.69/21.69 % git: date: 2026-07-19 20:42:38 +0200
% 50.69/21.69 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 50.69/21.69 % git: non_committed_changes: false
% 50.69/21.69
% 50.69/21.69 % ------ Parsing...% successful
% 50.69/21.69
% 50.69/21.69
% 50.69/21.69 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 50.69/21.69
% 50.69/21.69 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 50.69/21.69
% 50.69/21.69 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 50.69/21.69
% 50.69/21.69 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 50.69/21.69 % ------ Proving...
% 50.69/21.69 % ------ Problem Properties
% 50.69/21.69
% 50.69/21.69 %
% 50.69/21.69 % clauses 47
% 50.69/21.69 % conjectures 4
% 50.69/21.69 % EPR 19
% 50.69/21.69 % Horn 31
% 50.69/21.69 % unary 5
% 50.69/21.69 % binary 18
% 50.69/21.69 % lits 137
% 50.69/21.69 % lits eq 12
% 50.69/21.69 % fd_pure 0
% 50.69/21.69 % fd_pseudo 0
% 50.69/21.69 % fd_cond 0
% 50.69/21.69 % fd_pseudo_cond 7
% 50.69/21.69 % AC symbols 0
% 50.69/21.69
% 50.69/21.69 % ------ Input Options Time Limit: Unbounded
% 50.69/21.69
% 50.69/21.69
% 50.69/21.69 % ------
% 50.69/21.69 % Current options:
% 50.69/21.69 % ------
% 50.69/21.69
% 50.69/21.69
% 50.69/21.69 %
% 50.69/21.69
% 50.69/21.69 % ------ Proving...
% 50.69/21.69 %
% 50.69/21.69
% 50.69/21.69 % SZS status Unsatisfiable for theBenchmark.p
% 50.69/21.69
% 50.69/21.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.69/21.69
% 50.69/21.69
%------------------------------------------------------------------------------