TSTP Solution File: ITP115^1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP115^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GVE1q1HSMj true
% Computer : n013.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 05:22:16 EDT 2023
% Result : Theorem 1.52s 1.50s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 41 ( 16 unt; 13 typ; 0 def)
% Number of atoms : 59 ( 22 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 141 ( 30 ~; 21 |; 8 &; 80 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 8 !; 2 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf(set_b_type,type,
set_b: $tType ).
thf(bot_bot_set_b_type,type,
bot_bot_set_b: set_b ).
thf(topolo1276428102open_b_type,type,
topolo1276428102open_b: set_b > $o ).
thf(a2_type,type,
a2: b ).
thf(sk__1_type,type,
sk__1: set_b ).
thf(f_type,type,
f: a > b ).
thf(inf_inf_set_b_type,type,
inf_inf_set_b: set_b > set_b > set_b ).
thf(sk__type,type,
sk_: set_b ).
thf(thesis_type,type,
thesis: $o ).
thf(x0_type,type,
x0: a ).
thf(member_b_type,type,
member_b: b > set_b > $o ).
thf(fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,axiom,
( ( ( f @ x0 )
!= a2 )
=> ? [U: set_b,V: set_b] :
( ( ( inf_inf_set_b @ U @ V )
= bot_bot_set_b )
& ( member_b @ a2 @ V )
& ( member_b @ ( f @ x0 ) @ U )
& ( topolo1276428102open_b @ V )
& ( topolo1276428102open_b @ U ) ) ) ).
thf(zip_derived_cl5,plain,
( ( ( inf_inf_set_b @ sk_ @ sk__1 )
= bot_bot_set_b )
| ( ( f @ x0 )
= a2 ) ),
inference(cnf,[status(esa)],[fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062]) ).
thf(fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062,axiom,
( a2
!= ( f @ x0 ) ) ).
thf(zip_derived_cl0,plain,
( a2
!= ( f @ x0 ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062]) ).
thf(zip_derived_cl635,plain,
( ( inf_inf_set_b @ sk_ @ sk__1 )
= bot_bot_set_b ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl1,plain,
( ( member_b @ ( f @ x0 ) @ sk_ )
| ( ( f @ x0 )
= a2 ) ),
inference(cnf,[status(esa)],[fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062]) ).
thf(zip_derived_cl0_001,plain,
( a2
!= ( f @ x0 ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062]) ).
thf(zip_derived_cl585,plain,
member_b @ ( f @ x0 ) @ sk_,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(conj_0,axiom,
! [S2: set_b,V3: set_b] :
( ( ( topolo1276428102open_b @ S2 )
& ( topolo1276428102open_b @ V3 )
& ( member_b @ ( f @ x0 ) @ S2 )
& ( member_b @ a2 @ V3 )
& ( ( inf_inf_set_b @ S2 @ V3 )
= bot_bot_set_b ) )
=> thesis ) ).
thf(zip_derived_cl559,plain,
! [X0: set_b,X1: set_b] :
( thesis
| ~ ( member_b @ ( f @ x0 ) @ X0 )
| ~ ( topolo1276428102open_b @ X0 )
| ~ ( topolo1276428102open_b @ X1 )
| ~ ( member_b @ a2 @ X1 )
| ( ( inf_inf_set_b @ X0 @ X1 )
!= bot_bot_set_b ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(conj_1,conjecture,
thesis ).
thf(zf_stmt_0,negated_conjecture,
~ thesis,
inference('cnf.neg',[status(esa)],[conj_1]) ).
thf(zip_derived_cl560,plain,
~ thesis,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2802,plain,
! [X0: set_b,X1: set_b] :
( ~ ( member_b @ ( f @ x0 ) @ X0 )
| ~ ( topolo1276428102open_b @ X0 )
| ~ ( topolo1276428102open_b @ X1 )
| ~ ( member_b @ a2 @ X1 )
| ( ( inf_inf_set_b @ X0 @ X1 )
!= bot_bot_set_b ) ),
inference(demod,[status(thm)],[zip_derived_cl559,zip_derived_cl560]) ).
thf(zip_derived_cl2807,plain,
! [X0: set_b] :
( ( ( inf_inf_set_b @ sk_ @ X0 )
!= bot_bot_set_b )
| ~ ( member_b @ a2 @ X0 )
| ~ ( topolo1276428102open_b @ X0 )
| ~ ( topolo1276428102open_b @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl585,zip_derived_cl2802]) ).
thf(zip_derived_cl2,plain,
( ( topolo1276428102open_b @ sk_ )
| ( ( f @ x0 )
= a2 ) ),
inference(cnf,[status(esa)],[fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062]) ).
thf(zip_derived_cl0_002,plain,
( a2
!= ( f @ x0 ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062]) ).
thf(zip_derived_cl594,plain,
topolo1276428102open_b @ sk_,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl2822,plain,
! [X0: set_b] :
( ( ( inf_inf_set_b @ sk_ @ X0 )
!= bot_bot_set_b )
| ~ ( member_b @ a2 @ X0 )
| ~ ( topolo1276428102open_b @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2807,zip_derived_cl594]) ).
thf(zip_derived_cl2825,plain,
( ( bot_bot_set_b != bot_bot_set_b )
| ~ ( topolo1276428102open_b @ sk__1 )
| ~ ( member_b @ a2 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl2822]) ).
thf(zip_derived_cl3,plain,
( ( topolo1276428102open_b @ sk__1 )
| ( ( f @ x0 )
= a2 ) ),
inference(cnf,[status(esa)],[fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062]) ).
thf(zip_derived_cl0_003,plain,
( a2
!= ( f @ x0 ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062]) ).
thf(zip_derived_cl603,plain,
topolo1276428102open_b @ sk__1,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
( ( member_b @ a2 @ sk__1 )
| ( ( f @ x0 )
= a2 ) ),
inference(cnf,[status(esa)],[fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062]) ).
thf(zip_derived_cl0_004,plain,
( a2
!= ( f @ x0 ) ),
inference(cnf,[status(esa)],[fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062]) ).
thf(zip_derived_cl616,plain,
member_b @ a2 @ sk__1,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl2834,plain,
bot_bot_set_b != bot_bot_set_b,
inference(demod,[status(thm)],[zip_derived_cl2825,zip_derived_cl603,zip_derived_cl616]) ).
thf(zip_derived_cl2835,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl2834]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP115^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GVE1q1HSMj true
% 0.18/0.35 % Computer : n013.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Sun Aug 27 11:20:17 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in HO mode
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.63/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.63/0.81 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 1.52/1.50 % Solved by lams/40_noforms.sh.
% 1.52/1.50 % done 451 iterations in 0.697s
% 1.52/1.50 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.52/1.50 % SZS output start Refutation
% See solution above
% 1.52/1.50
% 1.52/1.50
% 1.52/1.50 % Terminating...
% 7.51/1.60 % Runner terminated.
% 7.51/1.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------