TSTP Solution File: SWW473_2 by SPASS+T---2.2.22
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%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : SWW473_2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n020.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 : Thu Jul 21 01:30:16 EDT 2022
% Result : Theorem 10.51s 10.71s
% Output : Refutation 10.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 11
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 25 ( 0 equ; 14 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
pname(pn),
file('SWW473_2.p',unknown),
[] ).
cnf(3,axiom,
fun_pname_a(mgt_call),
file('SWW473_2.p',unknown),
[] ).
cnf(4,axiom,
fun_pname_bool(u),
file('SWW473_2.p',unknown),
[] ).
cnf(5,axiom,
fun_a_bool(g),
file('SWW473_2.p',unknown),
[] ).
cnf(289,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('SWW473_2.p',unknown),
[] ).
cnf(359,axiom,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
file('SWW473_2.p',unknown),
[] ).
cnf(503,axiom,
( ~ fun_pname_a(U)
| ~ pname(V)
| x_a(hAPP_pname_a(U,V)) ),
file('SWW473_2.p',unknown),
[] ).
cnf(541,axiom,
( ~ fun_pname_a(U)
| ~ fun_pname_bool(V)
| fun_a_bool(image_pname_a(U,V)) ),
file('SWW473_2.p',unknown),
[] ).
cnf(672,axiom,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
file('SWW473_2.p',unknown),
[] ).
cnf(1239,axiom,
( ~ fun_pname_a(U)
| ~ pname(V)
| ~ fun_pname_bool(W)
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,V),W))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(U,V)),image_pname_a(U,W))) ),
file('SWW473_2.p',unknown),
[] ).
cnf(1505,axiom,
( ~ x_a(U)
| ~ fun_a_bool(V)
| ~ fun_a_bool(W)
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,U),W))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,V),W))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(U,V)),W)) ),
file('SWW473_2.p',unknown),
[] ).
cnf(1820,plain,
$false,
inference(thr,[status(thm)],[1505,1239,672,541,503,359,289,5,4,3,1]),
[iquote('0:ThR:1505,1239,672,541,503,359,289,5,4,3,1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW473_2 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : spasst-tptp-script %s %d
% 0.12/0.34 % Computer : n020.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 : Mon Jun 6 05:20:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.39/0.55 % Using EUF theory
% 10.51/10.71
% 10.51/10.71
% 10.51/10.71 % SZS status Theorem for /tmp/SPASST_21412_n020.cluster.edu
% 10.51/10.71
% 10.51/10.71 SPASS V 2.2.22 in combination with yices.
% 10.51/10.71 SPASS beiseite: Proof found by SMT.
% 10.51/10.71 Problem: /tmp/SPASST_21412_n020.cluster.edu
% 10.51/10.71 SPASS derived 30 clauses, backtracked 0 clauses and kept 1401 clauses.
% 10.51/10.71 SPASS backtracked 1 times (1 times due to theory inconsistency).
% 10.51/10.71 SPASS allocated 13517 KBytes.
% 10.51/10.71 SPASS spent 0:00:00.98 on the problem.
% 10.51/10.71 0:00:00.05 for the input.
% 10.51/10.71 0:00:00.35 for the FLOTTER CNF translation.
% 10.51/10.71 0:00:00.00 for inferences.
% 10.51/10.71 0:00:00.00 for the backtracking.
% 10.51/10.71 0:00:00.32 for the reduction.
% 10.51/10.71 0:00:00.03 for interacting with the SMT procedure.
% 10.51/10.71
% 10.51/10.71
% 10.51/10.71 % SZS output start CNFRefutation for /tmp/SPASST_21412_n020.cluster.edu
% See solution above
% 10.51/10.71
% 10.51/10.71 Formulae used in the proof : fof_sy_v_pn fof_sy_v_mgt__call fof_sy_v_U fof_sy_v_G fof_conj_4 fof_conj_1 fof_sy_c_hAPP_000tc__Com__Opname_000t__a fof_sy_c_Set_Oimage_000tc__Com__Opname_000t__a fof_conj_6 fof_fact_307_imageI fof_fact_324_insert__subset
% 11.10/10.75
% 11.10/10.75 SPASS+T ended
%------------------------------------------------------------------------------