TSTP Solution File: SCT171_2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SCT171_2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 : Thu Aug 31 14:18:00 EDT 2023
% Result : Theorem 3.39s 1.15s
% Output : CNFRefutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 491 ( 0 equ)
% Maximal formula atoms : 4 ( 37 avg)
% Number of connectives : 14 ( 8 ~; 4 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 472 ( 472 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 41 ( 40 usr; 19 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f14,axiom,
hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_mkbot),p)),e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
tff(f15,axiom,
( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p)))
<=> hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_mkbot),p)),e)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_PW) ).
tff(f758,conjecture,
hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f759,negated_conjecture,
~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p))),
inference(negated_conjecture,[],[f758]) ).
tff(f1389,plain,
~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p))),
inference(flattening,[],[f759]) ).
tff(f2126,plain,
( ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p)))
| ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_mkbot),p)),e)))))) )
& ( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_mkbot),p)),e))))))
| ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p))) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f2560,plain,
hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_mkbot),p)),e)))))),
inference(cnf_transformation,[],[f14]) ).
tff(f2562,plain,
( hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p)))
| ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_mkbot),p)),e)))))) ),
inference(cnf_transformation,[],[f2126]) ).
tff(f3675,plain,
~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p))),
inference(cnf_transformation,[],[f1389]) ).
cnf(c_94,plain,
hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_mkbot),p)),e)))))),
inference(cnf_transformation,[],[f2560]) ).
cnf(c_95,plain,
( ~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(ord_less_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_741591990_mktop),p)),e)),cOMBS_1921392482t_bool(cOMBS_811328630t_bool(hAPP_f509814255t_bool(cOMBB_231886989e_indi(if_fun1658569689t_bool),hAPP_n924210722i_bool(hAPP_f62620517i_bool(cOMBC_922322901t_bool,hAPP_f1381130897t_bool(cOMBB_981137617e_indi(fequal_nat),h)),n)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_A102926893t_bool(hAPP_f141075873t_bool(cOMBC_1505804284t_bool,hAPP_f576849227t_bool(cOMBB_656639247e_indi(arrow_1475523868_above),p)),c)),e)),hAPP_A658738638t_bool(hAPP_f293545699t_bool(cOMBC_18834461t_bool,hAPP_f842954860t_bool(cOMBB_117136048e_indi(arrow_592884904_mkbot),p)),e))))))
| hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p))) ),
inference(cnf_transformation,[],[f2562]) ).
cnf(c_1161,negated_conjecture,
~ hBOOL(hAPP_f429946033l_bool(hAPP_P840149257l_bool(member553230100le_alt,hAPP_A1313367280le_alt(hAPP_A1485971815le_alt(produc362059031le_alt,c),d)),hAPP_f792184801t_bool(f,p))),
inference(cnf_transformation,[],[f3675]) ).
cnf(c_1519,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_95,c_94,c_1161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT171_2 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n031.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 Aug 24 15:40:06 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.39/1.15 % SZS status Started for theBenchmark.p
% 3.39/1.15 % SZS status Theorem for theBenchmark.p
% 3.39/1.15
% 3.39/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.39/1.15
% 3.39/1.15 ------ iProver source info
% 3.39/1.15
% 3.39/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.39/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.39/1.15 git: non_committed_changes: false
% 3.39/1.15 git: last_make_outside_of_git: false
% 3.39/1.15
% 3.39/1.15 ------ Parsing...
% 3.39/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 3.39/1.15
% 3.39/1.15
% 3.39/1.15 ------ Preprocessing...
% 3.39/1.15
% 3.39/1.15 % SZS status Theorem for theBenchmark.p
% 3.39/1.15
% 3.39/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.39/1.15
% 3.39/1.15
%------------------------------------------------------------------------------