TSTP Solution File: GEO089-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO089-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:16:22 EDT 2024
% Result : Unsatisfiable 27.70s 4.64s
% Output : CNFRefutation 27.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of clauses : 51 ( 8 unt; 11 nHn; 50 RR)
% Number of literals : 139 ( 0 equ; 98 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
part_of(sk16,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_11_67) ).
cnf(c_50,negated_conjecture,
inner_point(sk15,sk16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_11_68) ).
cnf(c_51,negated_conjecture,
~ inner_point(sk15,sk14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_11_69) ).
cnf(c_52,plain,
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).
cnf(c_53,plain,
( incident_c(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).
cnf(c_54,plain,
( ~ incident_c(ax0_sk1(X0,X1),X1)
| part_of(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_3) ).
cnf(c_65,plain,
( ~ part_of(X0,X1)
| ~ part_of(X2,X1)
| ~ incident_c(X3,X0)
| ~ incident_c(X3,X2)
| ~ end_point(X3,X1)
| part_of(X0,X2)
| part_of(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_14) ).
cnf(c_66,plain,
( ~ incident_c(X0,X1)
| part_of(ax0_sk3(X1,X0),X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_15) ).
cnf(c_67,plain,
( ~ incident_c(X0,X1)
| part_of(ax0_sk4(X1,X0),X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_16) ).
cnf(c_68,plain,
( ~ incident_c(X0,X1)
| incident_c(X0,ax0_sk3(X1,X0))
| end_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_17) ).
cnf(c_69,plain,
( ~ incident_c(X0,X1)
| incident_c(X0,ax0_sk4(X1,X0))
| end_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_18) ).
cnf(c_70,plain,
( ~ part_of(ax0_sk3(X0,X1),ax0_sk4(X0,X1))
| ~ incident_c(X1,X0)
| end_point(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_19) ).
cnf(c_71,plain,
( ~ part_of(ax0_sk4(X0,X1),ax0_sk3(X0,X1))
| ~ incident_c(X1,X0)
| end_point(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_20) ).
cnf(c_72,plain,
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).
cnf(c_73,plain,
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).
cnf(c_74,plain,
( ~ incident_c(X0,X1)
| inner_point(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_23) ).
cnf(c_1047,plain,
( ~ inner_point(sk15,sk16)
| incident_c(sk15,sk16) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_1067,plain,
( ~ part_of(sk16,X0)
| ~ incident_c(sk15,sk16)
| incident_c(sk15,X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_1068,plain,
( ~ part_of(sk16,sk14)
| ~ incident_c(sk15,sk16)
| incident_c(sk15,sk14) ),
inference(instantiation,[status(thm)],[c_1067]) ).
cnf(c_1079,plain,
( ~ incident_c(sk15,sk16)
| incident_c(sk15,ax0_sk4(sk16,sk15))
| end_point(sk15,sk16) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1080,plain,
( ~ incident_c(sk15,sk16)
| incident_c(sk15,ax0_sk3(sk16,sk15))
| end_point(sk15,sk16) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_1087,plain,
( ~ part_of(ax0_sk3(sk16,sk15),ax0_sk4(sk16,sk15))
| ~ incident_c(sk15,sk16)
| end_point(sk15,sk16) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1213,plain,
( ~ inner_point(sk15,sk16)
| ~ end_point(sk15,sk16) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_1277,plain,
( ~ incident_c(sk15,X0)
| inner_point(sk15,X0)
| end_point(sk15,X0) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_1278,plain,
( ~ incident_c(sk15,sk14)
| inner_point(sk15,sk14)
| end_point(sk15,sk14) ),
inference(instantiation,[status(thm)],[c_1277]) ).
cnf(c_3774,plain,
( ~ incident_c(sk15,sk14)
| end_point(sk15,sk14) ),
inference(resolution,[status(thm)],[c_51,c_74]) ).
cnf(c_3775,plain,
end_point(sk15,sk14),
inference(global_subsumption_just,[status(thm)],[c_3774,c_50,c_49,c_51,c_1047,c_1068,c_1278]) ).
cnf(c_4082,plain,
( ~ part_of(ax0_sk4(X0,X1),ax0_sk3(X0,X1))
| ~ inner_point(X1,X0)
| ~ incident_c(X1,X0) ),
inference(resolution,[status(thm)],[c_73,c_71]) ).
cnf(c_4107,plain,
( ~ part_of(ax0_sk4(X0,X1),ax0_sk3(X0,X1))
| ~ inner_point(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4082,c_72]) ).
cnf(c_4219,plain,
~ part_of(ax0_sk4(sk16,sk15),ax0_sk3(sk16,sk15)),
inference(resolution,[status(thm)],[c_4107,c_50]) ).
cnf(c_4267,plain,
( ~ part_of(ax0_sk3(sk16,sk15),X0)
| ~ part_of(ax0_sk4(sk16,sk15),X0)
| ~ incident_c(X1,ax0_sk3(sk16,sk15))
| ~ incident_c(X1,ax0_sk4(sk16,sk15))
| ~ end_point(X1,X0)
| part_of(ax0_sk3(sk16,sk15),ax0_sk4(sk16,sk15)) ),
inference(resolution,[status(thm)],[c_4219,c_65]) ).
cnf(c_4269,plain,
( ~ end_point(X1,X0)
| ~ incident_c(X1,ax0_sk4(sk16,sk15))
| ~ incident_c(X1,ax0_sk3(sk16,sk15))
| ~ part_of(ax0_sk4(sk16,sk15),X0)
| ~ part_of(ax0_sk3(sk16,sk15),X0) ),
inference(global_subsumption_just,[status(thm)],[c_4267,c_50,c_1047,c_1087,c_1213,c_4267]) ).
cnf(c_4270,plain,
( ~ part_of(ax0_sk3(sk16,sk15),X0)
| ~ part_of(ax0_sk4(sk16,sk15),X0)
| ~ incident_c(X1,ax0_sk3(sk16,sk15))
| ~ incident_c(X1,ax0_sk4(sk16,sk15))
| ~ end_point(X1,X0) ),
inference(renaming,[status(thm)],[c_4269]) ).
cnf(c_4480,plain,
( ~ part_of(ax0_sk3(sk16,sk15),sk14)
| ~ part_of(ax0_sk4(sk16,sk15),sk14)
| ~ incident_c(sk15,ax0_sk3(sk16,sk15))
| ~ incident_c(sk15,ax0_sk4(sk16,sk15)) ),
inference(resolution,[status(thm)],[c_4270,c_3775]) ).
cnf(c_4481,plain,
( ~ part_of(ax0_sk3(sk16,sk15),sk14)
| ~ part_of(ax0_sk4(sk16,sk15),sk14) ),
inference(global_subsumption_just,[status(thm)],[c_4480,c_50,c_1047,c_1080,c_1079,c_1213,c_4480]) ).
cnf(c_5093,plain,
( ~ incident_c(ax0_sk1(ax0_sk4(sk16,sk15),sk14),sk14)
| ~ part_of(ax0_sk3(sk16,sk15),sk14) ),
inference(resolution,[status(thm)],[c_4481,c_54]) ).
cnf(c_5554,plain,
( ~ incident_c(ax0_sk1(ax0_sk4(sk16,sk15),sk14),X0)
| ~ part_of(ax0_sk3(sk16,sk15),sk14)
| ~ part_of(X0,sk14) ),
inference(resolution,[status(thm)],[c_5093,c_52]) ).
cnf(c_5632,plain,
( ~ incident_c(ax0_sk1(ax0_sk4(sk16,sk15),sk14),X0)
| ~ part_of(ax0_sk3(sk16,sk15),sk14)
| ~ part_of(X0,X1)
| ~ part_of(X1,sk14) ),
inference(resolution,[status(thm)],[c_5554,c_52]) ).
cnf(c_5779,plain,
( ~ part_of(ax0_sk4(sk16,sk15),X0)
| ~ part_of(ax0_sk3(sk16,sk15),sk14)
| ~ part_of(X0,sk14)
| part_of(ax0_sk4(sk16,sk15),sk14) ),
inference(resolution,[status(thm)],[c_5632,c_53]) ).
cnf(c_5780,plain,
( ~ part_of(X0,sk14)
| ~ part_of(ax0_sk3(sk16,sk15),sk14)
| ~ part_of(ax0_sk4(sk16,sk15),X0) ),
inference(global_subsumption_just,[status(thm)],[c_5779,c_4481,c_5779]) ).
cnf(c_5781,plain,
( ~ part_of(ax0_sk4(sk16,sk15),X0)
| ~ part_of(ax0_sk3(sk16,sk15),sk14)
| ~ part_of(X0,sk14) ),
inference(renaming,[status(thm)],[c_5780]) ).
cnf(c_6177,plain,
( ~ part_of(ax0_sk3(sk16,sk15),sk14)
| ~ part_of(sk16,sk14)
| ~ incident_c(sk15,sk16)
| end_point(sk15,sk16) ),
inference(resolution,[status(thm)],[c_5781,c_67]) ).
cnf(c_6178,plain,
~ part_of(ax0_sk3(sk16,sk15),sk14),
inference(global_subsumption_just,[status(thm)],[c_6177,c_50,c_49,c_1047,c_1213,c_6177]) ).
cnf(c_6520,plain,
~ incident_c(ax0_sk1(ax0_sk3(sk16,sk15),sk14),sk14),
inference(resolution,[status(thm)],[c_6178,c_54]) ).
cnf(c_7090,plain,
( ~ incident_c(ax0_sk1(ax0_sk3(sk16,sk15),sk14),X0)
| ~ part_of(X0,sk14) ),
inference(resolution,[status(thm)],[c_6520,c_52]) ).
cnf(c_7142,plain,
( ~ incident_c(ax0_sk1(ax0_sk3(sk16,sk15),sk14),X0)
| ~ part_of(X0,X1)
| ~ part_of(X1,sk14) ),
inference(resolution,[status(thm)],[c_7090,c_52]) ).
cnf(c_7218,plain,
( ~ part_of(ax0_sk3(sk16,sk15),X0)
| ~ part_of(X0,sk14)
| part_of(ax0_sk3(sk16,sk15),sk14) ),
inference(resolution,[status(thm)],[c_7142,c_53]) ).
cnf(c_7219,plain,
( ~ part_of(X0,sk14)
| ~ part_of(ax0_sk3(sk16,sk15),X0) ),
inference(global_subsumption_just,[status(thm)],[c_7218,c_50,c_49,c_1047,c_1213,c_6177,c_7218]) ).
cnf(c_7220,plain,
( ~ part_of(ax0_sk3(sk16,sk15),X0)
| ~ part_of(X0,sk14) ),
inference(renaming,[status(thm)],[c_7219]) ).
cnf(c_7444,plain,
( ~ part_of(sk16,sk14)
| ~ incident_c(sk15,sk16)
| end_point(sk15,sk16) ),
inference(resolution,[status(thm)],[c_7220,c_66]) ).
cnf(c_7445,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7444,c_1213,c_1047,c_49,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO089-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 01:29:59 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.70/4.64 % SZS status Started for theBenchmark.p
% 27.70/4.64 % SZS status Unsatisfiable for theBenchmark.p
% 27.70/4.64
% 27.70/4.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 27.70/4.64
% 27.70/4.64 ------ iProver source info
% 27.70/4.64
% 27.70/4.64 git: date: 2024-05-02 19:28:25 +0000
% 27.70/4.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 27.70/4.64 git: non_committed_changes: false
% 27.70/4.64
% 27.70/4.64 ------ Parsing...successful
% 27.70/4.64
% 27.70/4.64
% 27.70/4.64
% 27.70/4.64 ------ Preprocessing...
% 27.70/4.64
% 27.70/4.64 ------ Preprocessing...
% 27.70/4.64
% 27.70/4.64 ------ Preprocessing...
% 27.70/4.64 ------ Proving...
% 27.70/4.64 ------ Problem Properties
% 27.70/4.64
% 27.70/4.64
% 27.70/4.64 clauses 46
% 27.70/4.64 conjectures 3
% 27.70/4.64 EPR 18
% 27.70/4.64 Horn 30
% 27.70/4.64 unary 4
% 27.70/4.64 binary 18
% 27.70/4.64 lits 136
% 27.70/4.64 lits eq 12
% 27.70/4.64 fd_pure 0
% 27.70/4.64 fd_pseudo 0
% 27.70/4.64 fd_cond 0
% 27.70/4.64 fd_pseudo_cond 7
% 27.70/4.64 AC symbols 0
% 27.70/4.64
% 27.70/4.64 ------ Input Options Time Limit: Unbounded
% 27.70/4.64
% 27.70/4.64
% 27.70/4.64 ------
% 27.70/4.64 Current options:
% 27.70/4.64 ------
% 27.70/4.64
% 27.70/4.64
% 27.70/4.64
% 27.70/4.64
% 27.70/4.64 ------ Proving...
% 27.70/4.64
% 27.70/4.64
% 27.70/4.64 % SZS status Unsatisfiable for theBenchmark.p
% 27.70/4.64
% 27.70/4.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.70/4.65
% 27.70/4.65
%------------------------------------------------------------------------------