%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ITP013+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 00:37:40 EDT 2022
% Result : Theorem 33.57s 33.81s
% Output : Refutation 33.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 10 unt; 0 nHn; 11 RR)
% Number of literals : 12 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,skc4),s(tyop_2Enum_2Enum,skc3)))),
file('ITP013+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ p(s(tyop_2Emin_2Ebool,u))
| equal(s(tyop_2Emin_2Ebool,u),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
file('ITP013+1.p',unknown),
[] ).
cnf(32,axiom,
equal(s(u,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(u,v),s(u,w))),s(u,v)),
file('ITP013+1.p',unknown),
[] ).
cnf(72,axiom,
equal(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),v),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),w))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),v),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),w)))),
file('ITP013+1.p',unknown),
[] ).
cnf(73,axiom,
~ equal(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,skc5),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,skc5),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,skc3))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,skc5),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,skc4))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,skc5),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,skc3),s(tyop_2Enum_2Enum,skc4)))))),
file('ITP013+1.p',unknown),
[] ).
cnf(82,axiom,
equal(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,v),s(tyop_2Enum_2Enum,w))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,w),s(tyop_2Enum_2Enum,v))))),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_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,v),s(tyop_2Enum_2Enum,w))))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,w))),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,v)))))))),
file('ITP013+1.p',unknown),
[] ).
cnf(87,plain,
equal(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,v),s(tyop_2Enum_2Enum,w))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,w),s(tyop_2Enum_2Enum,v))))),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_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,v),s(tyop_2Enum_2Enum,w))))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,w))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,v)))))),
inference(rew,[status(thm),theory(equality)],[72,82]),
[iquote('0:Rew:72.0,82.0')] ).
cnf(107,plain,
equal(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,skc4),s(tyop_2Enum_2Enum,skc3))),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(res,[status(thm),theory(equality)],[7,16]),
[iquote('0:Res:7.0,16.0')] ).
cnf(55763,plain,
equal(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,skc3),s(tyop_2Enum_2Enum,skc4))))),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_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,skc4),s(tyop_2Enum_2Enum,skc3))))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,skc3))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,skc4)))))),
inference(spr,[status(thm),theory(equality)],[107,87]),
[iquote('0:SpR:107.0,87.0')] ).
cnf(55771,plain,
equal(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,skc3))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,skc4))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,u),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,skc3),s(tyop_2Enum_2Enum,skc4)))))),
inference(rew,[status(thm),theory(equality)],[32,55763]),
[iquote('0:Rew:32.0,55763.0')] ).
cnf(55772,plain,
$false,
inference(unc,[status(thm)],[55771,73]),
[iquote('0:UnC:55771.0,73.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP013+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jun 3 13:47:06 EDT 2022
% 0.14/0.35 % CPUTime :
% 33.57/33.81
% 33.57/33.81 SPASS V 3.9
% 33.57/33.81 SPASS beiseite: Proof found.
% 33.57/33.81 % SZS status Theorem
% 33.57/33.81 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.57/33.81 SPASS derived 37266 clauses, backtracked 1214 clauses, performed 18 splits and kept 2113 clauses.
% 33.57/33.81 SPASS allocated 116022 KBytes.
% 33.57/33.81 SPASS spent 0:0:21.73 on the problem.
% 33.57/33.81 0:00:00.04 for the input.
% 33.57/33.81 0:00:00.05 for the FLOTTER CNF translation.
% 33.57/33.81 0:00:00.68 for inferences.
% 33.57/33.81 0:00:00.95 for the backtracking.
% 33.57/33.81 0:0:19.96 for the reduction.
% 33.57/33.81
% 33.57/33.81
% 33.57/33.81 Here is a proof with depth 2, length 11 :
% 33.57/33.81 % SZS output start Refutation
% See solution above
% 33.57/33.81 Formulae used in the proof : thm_2Ewords_2En2w__sub thm_2Ebool_2EEQ__CLAUSES thm_2Ebool_2Ebool__case__thm thm_2Ewords_2Eword__sub__def thm_2Ewords_2EWORD__LITERAL__ADD
% 33.57/33.81
%------------------------------------------------------------------------------