%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ITP015+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% 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 00:37:42 EDT 2022
% Result : Theorem 12.96s 13.16s
% Output : Refutation 12.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 15 ( 13 unt; 2 nHn; 15 RR)
% Number of literals : 18 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
file('ITP015+1.p',unknown),
[] ).
cnf(9,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,u),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))),
file('ITP015+1.p',unknown),
[] ).
cnf(14,axiom,
equal(s(tyop_2Enum_2Enum,c_2Einteger_2ENum_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,u))))),s(tyop_2Enum_2Enum,u)),
file('ITP015+1.p',unknown),
[] ).
cnf(17,axiom,
( p(s(tyop_2Emin_2Ebool,u))
| p(s(tyop_2Emin_2Ebool,v))
| equal(s(tyop_2Emin_2Ebool,v),s(tyop_2Emin_2Ebool,u)) ),
file('ITP015+1.p',unknown),
[] ).
cnf(28,axiom,
equal(s(u,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(u,v),s(u,w))),s(u,w)),
file('ITP015+1.p',unknown),
[] ).
cnf(29,axiom,
equal(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))),
file('ITP015+1.p',unknown),
[] ).
cnf(41,axiom,
~ equal(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,skc1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,skc1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))),
file('ITP015+1.p',unknown),
[] ).
cnf(42,axiom,
equal(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))),
file('ITP015+1.p',unknown),
[] ).
cnf(52,axiom,
equal(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,u))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,v))))),s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,u),s(tyop_2Enum_2Enum,v)))),
file('ITP015+1.p',unknown),
[] ).
cnf(79,axiom,
equal(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,v),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Einteger_2ENum_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,v))))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Einteger_2ENum_2E1(s(tyop_2Einteger_2Eint,v))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,v)))),
file('ITP015+1.p',unknown),
[] ).
cnf(1833,plain,
( p(s(tyop_2Emin_2Ebool,u))
| equal(s(tyop_2Emin_2Ebool,u),s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(res,[status(thm),theory(equality)],[17,3]),
[iquote('0:Res:17.0,3.0')] ).
cnf(1933,plain,
equal(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,u),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(res,[status(thm),theory(equality)],[1833,9]),
[iquote('0:Res:1833.0,9.0')] ).
cnf(41102,plain,
equal(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Einteger_2ENum_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Einteger_2ENum_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))),
inference(spr,[status(thm),theory(equality)],[29,79]),
[iquote('0:SpR:29.0,79.0')] ).
cnf(41162,plain,
equal(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))),
inference(rew,[status(thm),theory(equality)],[28,41102,1933,52,42,14]),
[iquote('0:Rew:28.0,41102.0,1933.0,41102.0,52.0,41102.0,42.0,41102.0,14.0,41102.0')] ).
cnf(41163,plain,
$false,
inference(unc,[status(thm)],[41162,41]),
[iquote('0:UnC:41162.0,41.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP015+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.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 08:36:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 12.96/13.16
% 12.96/13.16 SPASS V 3.9
% 12.96/13.16 SPASS beiseite: Proof found.
% 12.96/13.16 % SZS status Theorem
% 12.96/13.16 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.96/13.16 SPASS derived 31210 clauses, backtracked 391 clauses, performed 16 splits and kept 2425 clauses.
% 12.96/13.16 SPASS allocated 111558 KBytes.
% 12.96/13.16 SPASS spent 0:0:11.22 on the problem.
% 12.96/13.16 0:00:00.04 for the input.
% 12.96/13.16 0:00:00.05 for the FLOTTER CNF translation.
% 12.96/13.16 0:00:00.37 for inferences.
% 12.96/13.16 0:00:00.98 for the backtracking.
% 12.96/13.16 0:00:09.73 for the reduction.
% 12.96/13.16
% 12.96/13.16
% 12.96/13.16 Here is a proof with depth 2, length 15 :
% 12.96/13.16 % SZS output start Refutation
% See solution above
% 12.96/13.16 Formulae used in the proof : reserved_2Eho_2Enotfalse thm_2Eprim__rec_2ENOT__LESS__0 thm_2Einteger_2ENUM__OF__INT reserved_2Eho_2Eboolext thm_2Ebool_2Ebool__case__thm thm_2Einteger_2EINT__NEG__0 thm_2Einteger__word_2Ei2w__0 thm_2Ewords_2EWORD__NEG__0 thm_2Einteger_2EINT__LT__CALCULATE thm_2Einteger__word_2Ei2w__def
% 12.96/13.16
%------------------------------------------------------------------------------