%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU826^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gFA9jYb8t0 true
% Computer : n018.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 Oct 2 04:56:41 PM UTC 2025
% Result : Theorem 0.52s 0.79s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU826^1 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gFA9jYb8t0 true
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:08:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in HO mode
% 0.50/0.64 % Total configuration time : 828
% 0.50/0.64 % Estimated wc time : 1656
% 0.50/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.79 % Solved by lams/40_c.s.sh.
% 0.52/0.79 % done 36 iterations in 0.027s
% 0.52/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.79 % SZS output start Refutation
% 0.52/0.79 thf(b_type, type, b: $i > $o).
% 0.52/0.79 thf(u_type, type, u: ($i > $o) > ($i > $o) > $i > $o).
% 0.52/0.79 thf(seteq_type, type, seteq: ($i > $o) > ($i > $o) > $o).
% 0.52/0.79 thf(n_type, type, n: ($i > $o) > ($i > $o) > $i > $o).
% 0.52/0.79 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $o).
% 0.52/0.79 thf(sk__1_type, type, sk__1: $i).
% 0.52/0.79 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $o).
% 0.52/0.79 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $o).
% 0.52/0.79 thf(a_type, type, a: $i > $o).
% 0.52/0.79 thf(c_type, type, c: $i > $o).
% 0.52/0.79 thf(n, axiom,(( n ) =
% 0.52/0.79 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) & ( Y @ U ) )))).
% 0.52/0.79 thf('0', plain,
% 0.52/0.79 (( n ) =
% 0.52/0.79 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) & ( Y @ U ) ) )),
% 0.52/0.79 inference('simplify_rw_rule', [status(thm)], [n])).
% 0.52/0.79 thf('1', plain,
% 0.52/0.79 (( n ) =
% 0.52/0.79 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 0.52/0.79 ( ( V_1 @ V_3 ) & ( V_2 @ V_3 ) ) )),
% 0.52/0.79 define([status(thm)])).
% 0.52/0.79 thf(u, axiom,(( u ) =
% 0.52/0.79 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) )))).
% 0.52/0.79 thf('2', plain,
% 0.52/0.79 (( u ) =
% 0.52/0.79 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) ) )),
% 0.52/0.79 inference('simplify_rw_rule', [status(thm)], [u])).
% 0.52/0.79 thf('3', plain,
% 0.52/0.79 (( u ) =
% 0.52/0.79 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 0.52/0.79 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )),
% 0.52/0.79 define([status(thm)])).
% 0.52/0.79 thf(seteq, axiom,(( seteq ) =
% 0.52/0.79 (^[X:( $i > $o ),Y:( $i > $o )]: ( ![U:$i]: ( ( X @ U ) <=> ( Y @ U ) ) )))).
% 0.52/0.79 thf('4', plain,
% 0.52/0.79 (( seteq ) =
% 0.52/0.79 ( ^[X:( $i > $o ),Y:( $i > $o )]:
% 0.52/0.79 ( ![U:$i]: ( ( X @ U ) <=> ( Y @ U ) ) ) )),
% 0.52/0.79 inference('simplify_rw_rule', [status(thm)], [seteq])).
% 0.52/0.79 thf('5', plain,
% 0.52/0.79 (( seteq ) =
% 0.52/0.79 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
% 0.52/0.79 ( ![X4:$i]: ( ( V_1 @ X4 ) <=> ( V_2 @ X4 ) ) ) )),
% 0.52/0.79 define([status(thm)])).
% 0.52/0.79 thf(conj, conjecture,
% 0.52/0.79 (seteq @ ( u @ a @ ( n @ b @ c ) ) @ ( n @ ( u @ a @ b ) @ ( u @ a @ c ) ))).
% 0.52/0.79 thf(zf_stmt_0, conjecture,
% 0.52/0.79 (![X4:$i]:
% 0.52/0.79 ( ( ( ( c @ X4 ) & ( b @ X4 ) ) | ( a @ X4 ) ) <=>
% 0.52/0.79 ( ( ( c @ X4 ) | ( a @ X4 ) ) & ( ( b @ X4 ) | ( a @ X4 ) ) ) ))).
% 0.52/0.79 thf(zf_stmt_1, type, zip_tseitin_2 : $i > $o).
% 0.52/0.79 thf(zf_stmt_2, axiom,
% 0.52/0.79 (![X4:$i]: ( ( zip_tseitin_2 @ X4 ) <=> ( ( a @ X4 ) | ( b @ X4 ) ) ))).
% 0.52/0.79 thf(zf_stmt_3, type, zip_tseitin_1 : $i > $o).
% 0.52/0.79 thf(zf_stmt_4, axiom,
% 0.52/0.79 (![X4:$i]: ( ( zip_tseitin_1 @ X4 ) <=> ( ( a @ X4 ) | ( c @ X4 ) ) ))).
% 0.52/0.79 thf(zf_stmt_5, type, zip_tseitin_0 : $i > $o).
% 0.52/0.79 thf(zf_stmt_6, axiom,
% 0.52/0.79 (![X4:$i]: ( ( zip_tseitin_0 @ X4 ) <=> ( ( b @ X4 ) & ( c @ X4 ) ) ))).
% 0.52/0.79 thf(zf_stmt_7, conjecture,
% 0.52/0.79 (![X4:$i]:
% 0.52/0.79 ( ( ( a @ X4 ) | ( zip_tseitin_0 @ X4 ) ) <=>
% 0.52/0.79 ( ( zip_tseitin_2 @ X4 ) & ( zip_tseitin_1 @ X4 ) ) ))).
% 0.52/0.79 thf(zf_stmt_8, negated_conjecture,
% 0.52/0.79 (~( ![X4:$i]:
% 0.52/0.79 ( ( ( a @ X4 ) | ( zip_tseitin_0 @ X4 ) ) <=>
% 0.52/0.79 ( ( zip_tseitin_2 @ X4 ) & ( zip_tseitin_1 @ X4 ) ) ) )),
% 0.52/0.79 inference('cnf.neg', [status(esa)], [zf_stmt_7])).
% 0.52/0.79 thf(zip_derived_cl11, plain,
% 0.52/0.79 ((~ (zip_tseitin_1 @ sk__1)
% 0.52/0.79 | ~ (zip_tseitin_2 @ sk__1)
% 0.52/0.79 | ~ (zip_tseitin_0 @ sk__1))),
% 0.52/0.79 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.52/0.79 thf(zip_derived_cl10, plain,
% 0.52/0.79 (( (zip_tseitin_1 @ sk__1) | (zip_tseitin_0 @ sk__1) | (a @ sk__1))),
% 0.52/0.79 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.52/0.79 thf(zip_derived_cl12, plain,
% 0.52/0.79 ((~ (zip_tseitin_1 @ sk__1) | ~ (zip_tseitin_2 @ sk__1) | ~ (a @ sk__1))),
% 0.52/0.79 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.52/0.79 thf(zip_derived_cl4, plain,
% 0.52/0.79 (![X0 : $i]: ( (zip_tseitin_1 @ X0) | ~ (a @ X0))),
% 0.52/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.52/0.79 thf(zip_derived_cl21, plain, ((~ (a @ sk__1) | ~ (zip_tseitin_2 @ sk__1))),
% 0.52/0.79 inference('clc', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 0.52/0.79 thf(zip_derived_cl7, plain,
% 0.52/0.79 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | ~ (a @ X0))),
% 0.52/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.52/0.79 thf(zip_derived_cl22, plain, (~ (a @ sk__1)),
% 0.52/0.79 inference('clc', [status(thm)], [zip_derived_cl21, zip_derived_cl7])).
% 0.52/0.79 thf(zip_derived_cl24, plain,
% 0.52/0.79 (( (zip_tseitin_1 @ sk__1) | (zip_tseitin_0 @ sk__1))),
% 0.52/0.79 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl22])).
% 0.52/0.79 thf(zip_derived_cl5, plain,
% 0.52/0.79 (![X0 : $i]: ( (zip_tseitin_1 @ X0) | ~ (c @ X0))),
% 0.52/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.52/0.79 thf(zip_derived_cl1, plain,
% 0.52/0.79 (![X0 : $i]: ( (c @ X0) | ~ (zip_tseitin_0 @ X0))),
% 0.52/0.79 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.52/0.79 thf(zip_derived_cl13, plain,
% 0.52/0.79 (![X0 : $i]: ( (zip_tseitin_1 @ X0) | ~ (zip_tseitin_0 @ X0))),
% 0.52/0.79 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 0.52/0.79 thf(zip_derived_cl41, plain, ( (zip_tseitin_1 @ sk__1)),
% 0.52/0.79 inference('clc', [status(thm)], [zip_derived_cl24, zip_derived_cl13])).
% 0.52/0.79 thf(zip_derived_cl58, plain,
% 0.52/0.79 ((~ (zip_tseitin_2 @ sk__1) | ~ (zip_tseitin_0 @ sk__1))),
% 0.52/0.79 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl41])).
% 0.52/0.79 thf(zip_derived_cl41, plain, ( (zip_tseitin_1 @ sk__1)),
% 0.52/0.79 inference('clc', [status(thm)], [zip_derived_cl24, zip_derived_cl13])).
% 0.52/0.79 thf(zip_derived_cl3, plain,
% 0.52/0.79 (![X0 : $i]: ( (c @ X0) | (a @ X0) | ~ (zip_tseitin_1 @ X0))),
% 0.52/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.52/0.79 thf(zip_derived_cl42, plain, (( (a @ sk__1) | (c @ sk__1))),
% 0.52/0.79 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl3])).
% 0.52/0.79 thf(zip_derived_cl22, plain, (~ (a @ sk__1)),
% 0.52/0.79 inference('clc', [status(thm)], [zip_derived_cl21, zip_derived_cl7])).
% 0.52/0.79 thf(zip_derived_cl44, plain, ( (c @ sk__1)),
% 0.52/0.79 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl22])).
% 0.52/0.79 thf(zip_derived_cl2, plain,
% 0.52/0.79 (![X0 : $i]: ( (zip_tseitin_0 @ X0) | ~ (c @ X0) | ~ (b @ X0))),
% 0.52/0.79 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.52/0.79 thf(zip_derived_cl47, plain, ((~ (b @ sk__1) | (zip_tseitin_0 @ sk__1))),
% 0.52/0.79 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl2])).
% 0.52/0.79 thf(zip_derived_cl9, plain,
% 0.52/0.79 (( (zip_tseitin_2 @ sk__1) | (zip_tseitin_0 @ sk__1) | (a @ sk__1))),
% 0.52/0.79 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.52/0.79 thf(zip_derived_cl22, plain, (~ (a @ sk__1)),
% 0.52/0.79 inference('clc', [status(thm)], [zip_derived_cl21, zip_derived_cl7])).
% 0.52/0.79 thf(zip_derived_cl23, plain,
% 0.52/0.79 (( (zip_tseitin_2 @ sk__1) | (zip_tseitin_0 @ sk__1))),
% 0.52/0.79 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl22])).
% 0.52/0.79 thf(zip_derived_cl6, plain,
% 0.52/0.79 (![X0 : $i]: ( (b @ X0) | (a @ X0) | ~ (zip_tseitin_2 @ X0))),
% 0.52/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.52/0.79 thf(zip_derived_cl37, plain,
% 0.52/0.79 (( (zip_tseitin_0 @ sk__1) | (a @ sk__1) | (b @ sk__1))),
% 0.52/0.79 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl6])).
% 0.52/0.79 thf(zip_derived_cl22, plain, (~ (a @ sk__1)),
% 0.52/0.79 inference('clc', [status(thm)], [zip_derived_cl21, zip_derived_cl7])).
% 0.52/0.79 thf(zip_derived_cl39, plain, (( (zip_tseitin_0 @ sk__1) | (b @ sk__1))),
% 0.52/0.79 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl22])).
% 0.52/0.79 thf(zip_derived_cl0, plain,
% 0.52/0.79 (![X0 : $i]: ( (b @ X0) | ~ (zip_tseitin_0 @ X0))),
% 0.52/0.79 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.52/0.79 thf(zip_derived_cl65, plain, ( (b @ sk__1)),
% 0.52/0.79 inference('clc', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 0.52/0.79 thf(zip_derived_cl66, plain, ( (zip_tseitin_0 @ sk__1)),
% 0.52/0.79 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl65])).
% 0.52/0.79 thf(zip_derived_cl71, plain, (~ (zip_tseitin_2 @ sk__1)),
% 0.52/0.79 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl66])).
% 0.52/0.79 thf(zip_derived_cl65, plain, ( (b @ sk__1)),
% 0.52/0.79 inference('clc', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 0.52/0.79 thf(zip_derived_cl8, plain,
% 0.52/0.79 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | ~ (b @ X0))),
% 0.52/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.52/0.79 thf(zip_derived_cl67, plain, ( (zip_tseitin_2 @ sk__1)),
% 0.52/0.79 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl8])).
% 0.52/0.79 thf(zip_derived_cl74, plain, ($false),
% 0.52/0.79 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl67])).
% 0.52/0.79
% 0.52/0.79 % SZS output end Refutation
% 0.52/0.79
% 0.52/0.79
% 0.52/0.79 % Terminating...
% 1.71/0.84 % Runner terminated.
% 1.71/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------