TSTP Solution File: ITP220_1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ITP220_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 02:29:56 EDT 2024
% Result : Theorem 41.85s 8.22s
% Output : CNFRefutation 41.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 335 ( 7 equ)
% Maximal formula atoms : 3 ( 15 avg)
% Number of connectives : 33 ( 21 ~; 10 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 302 ( 302 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 11 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 13 ( 2 sgn 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,axiom,
pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_True) ).
tff(f2,axiom,
! [X0: nat,X1: nat] :
( pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va))))
=> ( ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = X0 )
=> ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__C3_OIH_C_I1_J) ).
tff(f9993,axiom,
numeral_numeral_nat = nat_of_num,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9992_nat__of__num__numeral) ).
tff(f10453,conjecture,
~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f10454,negated_conjecture,
~ ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),y)),
inference(negated_conjecture,[],[f10453]) ).
tff(f19514,plain,
pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),y)),
inference(flattening,[],[f10454]) ).
tff(f19618,plain,
! [X0: nat,X1: nat] :
( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1))
| ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) != X0 )
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))) ),
inference(ennf_transformation,[],[f2]) ).
tff(f19619,plain,
! [X0: nat,X1: nat] :
( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1))
| ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) != X0 )
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))) ),
inference(flattening,[],[f19618]) ).
tff(f31098,plain,
pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))),
inference(cnf_transformation,[],[f1]) ).
tff(f31099,plain,
! [X0: nat,X1: nat] :
( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1))
| ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) != X0 )
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))) ),
inference(cnf_transformation,[],[f19619]) ).
tff(f47019,plain,
numeral_numeral_nat = nat_of_num,
inference(cnf_transformation,[],[f9993]) ).
tff(f47651,plain,
pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),y)),
inference(cnf_transformation,[],[f19514]) ).
tff(f47702,plain,
pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(nat_of_num,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))),
inference(definition_unfolding,[],[f31098,f47019]) ).
tff(f47703,plain,
! [X0: nat,X1: nat] :
( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1))
| ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(nat_of_num,aa_num_num(bit0,one))) != X0 )
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(nat_of_num,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))) ),
inference(definition_unfolding,[],[f31099,f47019,f47019]) ).
tff(f55969,plain,
pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(nat_of_num,aa_num_num(bit0,one))))),y)),
inference(definition_unfolding,[],[f47651,f47019]) ).
tff(f55970,plain,
! [X1: nat] :
( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(nat_of_num,aa_num_num(bit0,one))))),X1))
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(nat_of_num,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))) ),
inference(equality_resolution,[],[f47703]) ).
cnf(c_57,plain,
pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(nat_of_num,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))),
inference(cnf_transformation,[],[f47702]) ).
cnf(c_58,plain,
( ~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(nat_of_num,aa_num_num(bit0,one))))),X0_260))
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(dvd_dvd_nat,aa_num_nat(nat_of_num,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))) ),
inference(cnf_transformation,[],[f55970]) ).
cnf(c_16069,negated_conjecture,
pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(nat_of_num,aa_num_num(bit0,one))))),y)),
inference(cnf_transformation,[],[f55969]) ).
cnf(c_25619,plain,
~ pp(aa_nat_bool(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(nat_of_num,aa_num_num(bit0,one))))),X0_260)),
inference(global_subsumption_just,[status(thm)],[c_58,c_57,c_58]) ).
cnf(c_64834,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_16069,c_25619]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP220_1 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 22:22:52 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 41.85/8.22 % SZS status Started for theBenchmark.p
% 41.85/8.22 % SZS status Theorem for theBenchmark.p
% 41.85/8.22
% 41.85/8.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 41.85/8.22
% 41.85/8.22 ------ iProver source info
% 41.85/8.22
% 41.85/8.22 git: date: 2024-05-02 19:28:25 +0000
% 41.85/8.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 41.85/8.22 git: non_committed_changes: false
% 41.85/8.22
% 41.85/8.22 ------ Parsing...
% 41.85/8.22 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 41.85/8.22
% 41.85/8.22
% 41.85/8.22 ------ Preprocessing...
% 41.85/8.22
% 41.85/8.22 % SZS status Theorem for theBenchmark.p
% 41.85/8.22
% 41.85/8.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 41.85/8.22
% 41.85/8.22
%------------------------------------------------------------------------------