TSTP Solution File: ITP023_1 by SPASS+T---2.2.22
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%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : ITP023_1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n021.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 : 600s
% DateTime : Sun Jul 17 00:40:05 EDT 2022
% Result : Theorem 1.58s 1.70s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 32 ( 11 unt; 2 nHn; 32 RR)
% Number of literals : 67 ( 0 equ; 39 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
p(mono_2Ec_2Ebool_2ET_2E0),
file('ITP023_1.p',unknown),
[] ).
cnf(47,axiom,
mono_2Etyop_2Erealax_2Ereal(skc17),
file('ITP023_1.p',unknown),
[] ).
cnf(48,axiom,
mono_2Etyop_2Erealax_2Ereal(skc16),
file('ITP023_1.p',unknown),
[] ).
cnf(49,axiom,
~ p(mono_2Ec_2Ebool_2EF_2E0),
file('ITP023_1.p',unknown),
[] ).
cnf(92,axiom,
( ~ mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Ereala(U)
| mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(mono_2Ec_2Ereal__topology_2Ecball_2E1(U)) ),
file('ITP023_1.p',unknown),
[] ).
cnf(93,axiom,
( ~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(U)
| mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(U)) ),
file('ITP023_1.p',unknown),
[] ).
cnf(94,axiom,
( ~ mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Ereala(U)
| mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(mono_2Ec_2Ereal__topology_2Eball_2E1(U)) ),
file('ITP023_1.p',unknown),
[] ).
cnf(108,axiom,
~ p(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(mono_2Ec_2Ereal__topology_2Eball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)))),
file('ITP023_1.p',unknown),
[] ).
cnf(125,axiom,
( ~ mono_2Etyop_2Emin_2Ebool(U)
| ~ p(U)
| equal(mono_2Ec_2Ebool_2ET_2E0,U) ),
file('ITP023_1.p',unknown),
[] ).
cnf(133,axiom,
( ~ mono_2Etyop_2Emin_2Ebool(U)
| equal(U,mono_2Ec_2Ebool_2ET_2E0)
| equal(U,mono_2Ec_2Ebool_2EF_2E0) ),
file('ITP023_1.p',unknown),
[] ).
cnf(154,axiom,
( ~ mono_2Etyop_2Erealax_2Ereal(U)
| ~ mono_2Etyop_2Erealax_2Ereal(V)
| mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Ereala(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(U,V)) ),
file('ITP023_1.p',unknown),
[] ).
cnf(180,axiom,
( ~ mono_2Etyop_2Erealax_2Ereal(U)
| ~ mono_2Etyop_2Erealax_2Ereal(V)
| p(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(mono_2Ec_2Ereal__topology_2Ecball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(U,V)))) ),
file('ITP023_1.p',unknown),
[] ).
cnf(211,axiom,
( ~ mono_2Etyop_2Erealax_2Ereal(U)
| ~ mono_2Etyop_2Erealax_2Ereal(V)
| p(mono_2Ec_2Epred__set_2ESUBSET_2E2_2Emono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Ereal__topology_2Eball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(U,V)),mono_2Ec_2Ereal__topology_2Ecball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(U,V)))) ),
file('ITP023_1.p',unknown),
[] ).
cnf(226,axiom,
( ~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(U)
| ~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(V)
| ~ p(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(V))
| ~ p(mono_2Ec_2Epred__set_2ESUBSET_2E2_2Emono_2Etyop_2Erealax_2Ereal(U,V))
| p(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(U)) ),
file('ITP023_1.p',unknown),
[] ).
cnf(306,plain,
( ~ mono_2Etyop_2Erealax_2Ereal(U)
| p(mono_2Ec_2Epred__set_2ESUBSET_2E2_2Emono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Ereal__topology_2Eball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,U)),mono_2Ec_2Ereal__topology_2Ecball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,U)))) ),
inference(res,[status(thm),theory(equality)],[47,211]),
[iquote('0:Res:47.0,211.1')] ).
cnf(308,plain,
( ~ mono_2Etyop_2Erealax_2Ereal(U)
| p(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(mono_2Ec_2Ereal__topology_2Ecball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,U)))) ),
inference(res,[status(thm),theory(equality)],[47,180]),
[iquote('0:Res:47.0,180.1')] ).
cnf(309,plain,
( ~ mono_2Etyop_2Erealax_2Ereal(U)
| mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Ereala(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,U)) ),
inference(res,[status(thm),theory(equality)],[47,154]),
[iquote('0:Res:47.0,154.1')] ).
cnf(383,plain,
p(mono_2Ec_2Epred__set_2ESUBSET_2E2_2Emono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Ereal__topology_2Eball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)),mono_2Ec_2Ereal__topology_2Ecball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)))),
inference(res,[status(thm),theory(equality)],[48,306]),
[iquote('0:Res:48.0,306.0')] ).
cnf(391,plain,
p(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(mono_2Ec_2Ereal__topology_2Ecball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)))),
inference(res,[status(thm),theory(equality)],[48,308]),
[iquote('0:Res:48.0,308.0')] ).
cnf(395,plain,
mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Ereala(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)),
inference(res,[status(thm),theory(equality)],[48,309]),
[iquote('0:Res:48.0,309.0')] ).
cnf(466,plain,
( ~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(U)
| equal(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(U),mono_2Ec_2Ebool_2ET_2E0)
| equal(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(U),mono_2Ec_2Ebool_2EF_2E0) ),
inference(res,[status(thm),theory(equality)],[93,133]),
[iquote('0:Res:93.1,133.0')] ).
cnf(474,plain,
( ~ mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(mono_2Ec_2Ereal__topology_2Ecball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16))))
| equal(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(mono_2Ec_2Ereal__topology_2Ecball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16))),mono_2Ec_2Ebool_2ET_2E0) ),
inference(res,[status(thm),theory(equality)],[391,125]),
[iquote('0:Res:391.0,125.1')] ).
cnf(676,plain,
( ~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(mono_2Ec_2Ereal__topology_2Eball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)))
| ~ p(mono_2Ec_2Ebool_2ET_2E0)
| equal(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(mono_2Ec_2Ereal__topology_2Eball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16))),mono_2Ec_2Ebool_2EF_2E0) ),
inference(spl,[status(thm),theory(equality)],[466,108]),
[iquote('0:SpL:466.1,108.0')] ).
cnf(685,plain,
( ~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(mono_2Ec_2Ereal__topology_2Eball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)))
| equal(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(mono_2Ec_2Ereal__topology_2Eball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16))),mono_2Ec_2Ebool_2EF_2E0) ),
inference(mrr,[status(thm)],[676,2]),
[iquote('0:MRR:676.1,2.0')] ).
cnf(1285,plain,
( ~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(mono_2Ec_2Ereal__topology_2Ecball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)))
| equal(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(mono_2Ec_2Ereal__topology_2Ecball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16))),mono_2Ec_2Ebool_2ET_2E0) ),
inference(res,[status(thm),theory(equality)],[93,474]),
[iquote('0:Res:93.1,474.0')] ).
cnf(1957,plain,
( ~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(mono_2Ec_2Ereal__topology_2Eball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)))
| ~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(mono_2Ec_2Ereal__topology_2Ecball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)))
| ~ p(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(mono_2Ec_2Ereal__topology_2Ecball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16))))
| p(mono_2Ec_2Ereal__topology_2Ebounded__def_2E1(mono_2Ec_2Ereal__topology_2Eball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)))) ),
inference(res,[status(thm),theory(equality)],[383,226]),
[iquote('0:Res:383.0,226.3')] ).
cnf(1976,plain,
( ~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(mono_2Ec_2Ereal__topology_2Eball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)))
| ~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(mono_2Ec_2Ereal__topology_2Ecball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)))
| ~ p(mono_2Ec_2Ebool_2ET_2E0)
| p(mono_2Ec_2Ebool_2EF_2E0) ),
inference(rew,[status(thm),theory(equality)],[685,1957,1285]),
[iquote('0:Rew:685.1,1957.3,1285.1,1957.2')] ).
cnf(1977,plain,
( ~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(mono_2Ec_2Ereal__topology_2Eball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)))
| ~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(mono_2Ec_2Ereal__topology_2Ecball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16))) ),
inference(mrr,[status(thm)],[1976,2,49]),
[iquote('0:MRR:1976.2,1976.3,2.0,49.0')] ).
cnf(1989,plain,
( ~ mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Ereala(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16))
| ~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(mono_2Ec_2Ereal__topology_2Eball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16))) ),
inference(res,[status(thm),theory(equality)],[92,1977]),
[iquote('0:Res:92.1,1977.1')] ).
cnf(1990,plain,
~ mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Eb(mono_2Ec_2Ereal__topology_2Eball_2E1(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16))),
inference(mrr,[status(thm)],[1989,395]),
[iquote('0:MRR:1989.0,395.0')] ).
cnf(1991,plain,
~ mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Ereala(mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_(skc17,skc16)),
inference(res,[status(thm),theory(equality)],[94,1990]),
[iquote('0:Res:94.1,1990.0')] ).
cnf(1992,plain,
$false,
inference(mrr,[status(thm)],[1991,395]),
[iquote('0:MRR:1991.0,395.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP023_1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.10/0.12 % Command : spasst-tptp-script %s %d
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 3 23:50:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % Using EUF theory
% 1.58/1.70
% 1.58/1.70
% 1.58/1.70 % SZS status Theorem for /tmp/SPASST_15570_n021.cluster.edu
% 1.58/1.70
% 1.58/1.70 SPASS V 2.2.22 in combination with yices.
% 1.58/1.70 SPASS beiseite: Proof found by SPASS.
% 1.58/1.70 Problem: /tmp/SPASST_15570_n021.cluster.edu
% 1.58/1.70 SPASS derived 1273 clauses, backtracked 0 clauses and kept 601 clauses.
% 1.58/1.70 SPASS backtracked 1 times (0 times due to theory inconsistency).
% 1.58/1.70 SPASS allocated 8011 KBytes.
% 1.58/1.70 SPASS spent 0:00:00.21 on the problem.
% 1.58/1.70 0:00:00.01 for the input.
% 1.58/1.70 0:00:00.03 for the FLOTTER CNF translation.
% 1.58/1.70 0:00:00.02 for inferences.
% 1.58/1.70 0:00:00.00 for the backtracking.
% 1.58/1.70 0:00:00.07 for the reduction.
% 1.58/1.70 0:00:00.02 for interacting with the SMT procedure.
% 1.58/1.70
% 1.58/1.70
% 1.58/1.70 % SZS output start CNFRefutation for /tmp/SPASST_15570_n021.cluster.edu
% See solution above
% 1.58/1.70
% 1.58/1.70 Formulae used in the proof : fof_reserved_2Eho_2Etruth fof_thm_2Ereal__topology_2EBOUNDED__BALL fof_reserved_2Eho_2Enotfalse fof_mono_2Ec_2Ereal__topology_2Ecball_2E1 fof_mono_2Ec_2Ereal__topology_2Ebounded__def_2E1 fof_mono_2Ec_2Ereal__topology_2Eball_2E1 fof_thm_2Ebool_2EEQ__CLAUSES fof_reserved_2Eho_2Ebool__cases__ax fof_mono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal fof_thm_2Ereal__topology_2EBOUNDED__CBALL fof_thm_2Ereal__topology_2EBALL__SUBSET__CBALL fof_thm_2Ereal__topology_2EBOUNDED__SUBSET
% 1.58/1.73
% 1.58/1.73 SPASS+T ended
%------------------------------------------------------------------------------