TSTP Solution File: ITP019_2 by SPASS+T---2.2.22
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%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : ITP019_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n027.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 00:39:59 EDT 2022
% Result : Theorem 0.43s 1.17s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 10 RR)
% Number of literals : 15 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(32,axiom,
tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(skc6),
file('ITP019_2.p',unknown),
[] ).
cnf(41,axiom,
equal(inj__ty_2Enum_2Enum(fo__c_2Enum_2E0),c_2Enum_2E0),
file('ITP019_2.p',unknown),
[] ).
cnf(56,axiom,
~ equal(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),skc6),
file('ITP019_2.p',unknown),
[] ).
cnf(71,axiom,
equal(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(skc6)))),
file('ITP019_2.p',unknown),
[] ).
cnf(91,axiom,
( ~ equal(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U))),surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
| ~ tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U)
| equal(U,surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0)))) ),
file('ITP019_2.p',unknown),
[] ).
cnf(96,plain,
~ equal(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)),skc6),
inference(rew,[status(thm),theory(equality)],[41,56]),
[iquote('0:Rew:41.0,56.0')] ).
cnf(97,plain,
equal(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(skc6))),surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0))),
inference(rew,[status(thm),theory(equality)],[41,71]),
[iquote('0:Rew:41.0,71.0')] ).
cnf(98,plain,
( ~ tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U)
| ~ equal(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(U))),surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)))
| equal(U,surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0))) ),
inference(rew,[status(thm),theory(equality)],[41,91]),
[iquote('0:Rew:41.0,91.2,41.0,91.0')] ).
cnf(115,plain,
( ~ tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(skc6)
| equal(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)),skc6) ),
inference(res,[status(thm),theory(equality)],[97,98]),
[iquote('0:Res:97.0,98.0')] ).
cnf(119,plain,
$false,
inference(mrr,[status(thm)],[115,32,96]),
[iquote('0:MRR:115.0,115.1,32.0,96.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP019_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.13 % Command : spasst-tptp-script %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 3 11:56:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % Using EUF theory
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 % SZS status Theorem for /tmp/SPASST_23081_n027.cluster.edu
% 0.43/1.17
% 0.43/1.17 SPASS V 2.2.22 in combination with yices.
% 0.43/1.17 SPASS beiseite: Proof found by SPASS.
% 0.43/1.17 Problem: /tmp/SPASST_23081_n027.cluster.edu
% 0.43/1.17 SPASS derived 13 clauses, backtracked 0 clauses and kept 81 clauses.
% 0.43/1.17 SPASS backtracked 0 times (0 times due to theory inconsistency).
% 0.43/1.17 SPASS allocated 6762 KBytes.
% 0.43/1.17 SPASS spent 0:00:00.03 on the problem.
% 0.43/1.17 0:00:00.00 for the input.
% 0.43/1.17 0:00:00.02 for the FLOTTER CNF translation.
% 0.43/1.17 0:00:00.00 for inferences.
% 0.43/1.17 0:00:00.00 for the backtracking.
% 0.43/1.17 0:00:00.00 for the reduction.
% 0.43/1.17 0:00:00.00 for interacting with the SMT procedure.
% 0.43/1.17
% 0.43/1.17
% 0.43/1.17 % SZS output start CNFRefutation for /tmp/SPASST_23081_n027.cluster.edu
% See solution above
% 0.43/1.17
% 0.43/1.17 Formulae used in the proof : fof_conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ fof_stp_eq_fo_c_2Enum_2E0 fof_conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0
% 0.92/1.19
% 0.92/1.19 SPASS+T ended
%------------------------------------------------------------------------------