%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEG013^1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WHJi8i3BdC true
% Computer : n023.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 04:33:31 PM UTC 2025
% Result : Theorem 0.53s 0.81s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEG013^1 : TPTP v9.2.0. Released v4.1.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WHJi8i3BdC true
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 11:13:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.51/0.66 % Total configuration time : 828
% 0.51/0.66 % Estimated wc time : 1656
% 0.51/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.79 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.53/0.80 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.53/0.81 % Solved by lams/40_noforms.sh.
% 0.53/0.81 % done 12 iterations in 0.055s
% 0.53/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.81 % SZS output start Refutation
% 0.53/0.81 thf(reg_type, type, reg: $tType).
% 0.53/0.81 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.53/0.81 thf(a_type, type, a: $i > $i > $o).
% 0.53/0.81 thf(pp_type, type, pp: reg > reg > $o).
% 0.53/0.81 thf(eq_type, type, eq: reg > reg > $o).
% 0.53/0.81 thf(sk__22_type, type, sk__22: $i).
% 0.53/0.81 thf(ec_type, type, ec: reg > reg > $o).
% 0.53/0.81 thf(o_type, type, o: reg > reg > $o).
% 0.53/0.81 thf(zip_tseitin_0_type, type, zip_tseitin_0: reg > reg > reg > $o).
% 0.53/0.81 thf(c_type, type, c: reg > reg > $o).
% 0.53/0.81 thf(zip_tseitin_3_type, type, zip_tseitin_3: reg > reg > $o).
% 0.53/0.81 thf(sk__23_type, type, sk__23: $i).
% 0.53/0.81 thf(zip_tseitin_2_type, type, zip_tseitin_2: reg > reg > reg > $o).
% 0.53/0.81 thf(p_type, type, p: reg > reg > $o).
% 0.53/0.81 thf(catalunya_type, type, catalunya: reg).
% 0.53/0.81 thf(sk__11_type, type, sk__11: reg).
% 0.53/0.81 thf(zip_tseitin_1_type, type, zip_tseitin_1: reg > reg > $o).
% 0.53/0.81 thf(spain_type, type, spain: reg).
% 0.53/0.81 thf(tpp_type, type, tpp: reg > reg > $o).
% 0.53/0.81 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 0.53/0.81 thf(eq, axiom,(( eq ) =
% 0.53/0.81 (^[X:reg,Y:reg]: ( ( p @ X @ Y ) & ( p @ Y @ X ) )))).
% 0.53/0.81 thf(p, axiom,(( p ) =
% 0.53/0.81 (^[X:reg,Y:reg]: ( ![Z:reg]: ( ( c @ Z @ X ) => ( c @ Z @ Y ) ) )))).
% 0.53/0.81 thf('0', plain,
% 0.53/0.81 (( p ) =
% 0.53/0.81 ( ^[X:reg,Y:reg]: ( ![Z:reg]: ( ( c @ Z @ X ) => ( c @ Z @ Y ) ) ) )),
% 0.53/0.81 inference('simplify_rw_rule', [status(thm)], [p])).
% 0.53/0.81 thf('1', plain,
% 0.53/0.81 (( p ) =
% 0.53/0.81 ( ^[V_1:reg,V_2:reg]:
% 0.53/0.81 ( ![X4:reg]: ( ( c @ X4 @ V_1 ) => ( c @ X4 @ V_2 ) ) ) )),
% 0.53/0.81 define([status(thm)])).
% 0.53/0.81 thf('2', plain,
% 0.53/0.81 (( eq ) = ( ^[X:reg,Y:reg]: ( ( p @ X @ Y ) & ( p @ Y @ X ) ) )),
% 0.53/0.81 inference('simplify_rw_rule', [status(thm)], [eq, '1'])).
% 0.53/0.81 thf('3', plain,
% 0.53/0.81 (( eq ) =
% 0.53/0.81 ( ^[V_1:reg,V_2:reg]: ( ( p @ V_1 @ V_2 ) & ( p @ V_2 @ V_1 ) ) )),
% 0.53/0.81 define([status(thm)])).
% 0.53/0.81 thf(mvalid, axiom,(( mvalid ) =
% 0.53/0.81 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))).
% 0.53/0.81 thf('4', plain,
% 0.53/0.81 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )),
% 0.53/0.81 inference('simplify_rw_rule', [status(thm)], [mvalid])).
% 0.53/0.81 thf('5', plain,
% 0.53/0.81 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )),
% 0.53/0.81 define([status(thm)])).
% 0.53/0.81 thf(mbox, axiom,(( mbox ) =
% 0.53/0.81 (^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]:
% 0.53/0.81 ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) )))).
% 0.53/0.81 thf('6', plain,
% 0.53/0.81 (( mbox ) =
% 0.53/0.81 ( ^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]:
% 0.53/0.81 ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) ) )),
% 0.53/0.81 inference('simplify_rw_rule', [status(thm)], [mbox])).
% 0.53/0.81 thf('7', plain,
% 0.53/0.81 (( mbox ) =
% 0.53/0.81 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 0.53/0.81 ( ![X4:$i]: ( ( V_2 @ X4 ) | ( ~( V_1 @ V_3 @ X4 ) ) ) ) )),
% 0.53/0.81 define([status(thm)])).
% 0.53/0.81 thf(con, conjecture,
% 0.53/0.81 (mvalid @
% 0.53/0.81 ( mbox @ a @ ( ^[X:$i]: ( ?[Z:reg,Y:reg]: ( ~( eq @ Z @ Y ) ) ) ) ))).
% 0.53/0.81 thf(zf_stmt_0, conjecture,
% 0.53/0.81 (![X4:$i,X6:$i]:
% 0.53/0.81 ( ( ?[X8:reg,X10:reg]:
% 0.53/0.81 ( ~( ( ![X12:reg]: ( ( c @ X12 @ X8 ) => ( c @ X12 @ X10 ) ) ) &
% 0.53/0.81 ( ![X14:reg]: ( ( c @ X14 @ X10 ) => ( c @ X14 @ X8 ) ) ) ) ) ) |
% 0.53/0.81 ( ~( a @ X4 @ X6 ) ) ))).
% 0.53/0.81 thf(zf_stmt_1, negated_conjecture,
% 0.53/0.81 (~( ![X4:$i,X6:$i]:
% 0.53/0.81 ( ( ?[X8:reg,X10:reg]:
% 0.53/0.81 ( ~( ( ![X12:reg]: ( ( c @ X12 @ X8 ) => ( c @ X12 @ X10 ) ) ) &
% 0.53/0.81 ( ![X14:reg]: ( ( c @ X14 @ X10 ) => ( c @ X14 @ X8 ) ) ) ) ) ) |
% 0.53/0.81 ( ~( a @ X4 @ X6 ) ) ) )),
% 0.53/0.81 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 0.53/0.81 thf(zip_derived_cl37, plain, ( (a @ sk__22 @ sk__23)),
% 0.53/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.53/0.81 thf(tpp, axiom,(( tpp ) =
% 0.53/0.81 (^[X:reg,Y:reg]:
% 0.53/0.81 ( ( pp @ X @ Y ) & ( ?[Z:reg]: ( ( ec @ Z @ Y ) & ( ec @ Z @ X ) ) ) )))).
% 0.53/0.81 thf(ec, axiom,(( ec ) =
% 0.53/0.81 (^[X:reg,Y:reg]: ( ( c @ X @ Y ) & ( ~( o @ X @ Y ) ) )))).
% 0.53/0.81 thf(o, axiom,(( o ) =
% 0.53/0.81 (^[X:reg,Y:reg]: ( ?[Z:reg]: ( ( p @ Z @ Y ) & ( p @ Z @ X ) ) )))).
% 0.53/0.81 thf('8', plain,
% 0.53/0.81 (( o ) =
% 0.53/0.81 ( ^[X:reg,Y:reg]: ( ?[Z:reg]: ( ( p @ Z @ Y ) & ( p @ Z @ X ) ) ) )),
% 0.53/0.81 inference('simplify_rw_rule', [status(thm)], [o, '1'])).
% 0.53/0.81 thf('9', plain,
% 0.53/0.81 (( o ) =
% 0.53/0.81 ( ^[V_1:reg,V_2:reg]:
% 0.53/0.81 ( ?[X4:reg]: ( ( p @ X4 @ V_2 ) & ( p @ X4 @ V_1 ) ) ) )),
% 0.53/0.81 define([status(thm)])).
% 0.53/0.81 thf('10', plain,
% 0.53/0.81 (( ec ) = ( ^[X:reg,Y:reg]: ( ( c @ X @ Y ) & ( ~( o @ X @ Y ) ) ) )),
% 0.53/0.81 inference('simplify_rw_rule', [status(thm)], [ec, '9', '1'])).
% 0.53/0.81 thf('11', plain,
% 0.53/0.81 (( ec ) =
% 0.53/0.81 ( ^[V_1:reg,V_2:reg]: ( ( c @ V_1 @ V_2 ) & ( ~( o @ V_1 @ V_2 ) ) ) )),
% 0.53/0.81 define([status(thm)])).
% 0.53/0.81 thf('12', plain,
% 0.53/0.81 (( tpp ) =
% 0.53/0.81 ( ^[X:reg,Y:reg]:
% 0.53/0.81 ( ( pp @ X @ Y ) & ( ?[Z:reg]: ( ( ec @ Z @ Y ) & ( ec @ Z @ X ) ) ) ) )),
% 0.53/0.81 inference('simplify_rw_rule', [status(thm)], [tpp, '11', '9', '1'])).
% 0.53/0.81 thf('13', plain,
% 0.53/0.81 (( tpp ) =
% 0.53/0.81 ( ^[V_1:reg,V_2:reg]:
% 0.53/0.81 ( ( pp @ V_1 @ V_2 ) &
% 0.53/0.81 ( ?[X4:reg]: ( ( ec @ X4 @ V_2 ) & ( ec @ X4 @ V_1 ) ) ) ) )),
% 0.53/0.81 define([status(thm)])).
% 0.53/0.81 thf(pp, axiom,(( pp ) =
% 0.53/0.81 (^[X:reg,Y:reg]: ( ( p @ X @ Y ) & ( ~( p @ Y @ X ) ) )))).
% 0.53/0.81 thf('14', plain,
% 0.53/0.81 (( pp ) = ( ^[X:reg,Y:reg]: ( ( p @ X @ Y ) & ( ~( p @ Y @ X ) ) ) )),
% 0.53/0.81 inference('simplify_rw_rule', [status(thm)], [pp, '1'])).
% 0.53/0.81 thf('15', plain,
% 0.53/0.81 (( pp ) =
% 0.53/0.81 ( ^[V_1:reg,V_2:reg]: ( ( p @ V_1 @ V_2 ) & ( ~( p @ V_2 @ V_1 ) ) ) )),
% 0.53/0.81 define([status(thm)])).
% 0.53/0.81 thf(ax1, axiom,
% 0.53/0.81 (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( tpp @ catalunya @ spain ) ) ))).
% 0.53/0.81 thf(zf_stmt_2, axiom,
% 0.53/0.81 (![X4:$i,X6:$i]:
% 0.53/0.81 ( ( ~( a @ X4 @ X6 ) ) |
% 0.53/0.81 ( ( ?[X12:reg]:
% 0.53/0.81 ( ( ~( ?[X20:reg]:
% 0.53/0.81 ( ( ![X24:reg]: ( ( c @ X24 @ X20 ) => ( c @ X24 @ X12 ) ) ) &
% 0.53/0.81 ( ![X22:reg]:
% 0.53/0.81 ( ( c @ X22 @ X20 ) => ( c @ X22 @ catalunya ) ) ) ) ) ) &
% 0.53/0.81 ( c @ X12 @ catalunya ) &
% 0.53/0.81 ( ~( ?[X14:reg]:
% 0.53/0.81 ( ( ![X18:reg]: ( ( c @ X18 @ X14 ) => ( c @ X18 @ X12 ) ) ) &
% 0.53/0.81 ( ![X16:reg]: ( ( c @ X16 @ X14 ) => ( c @ X16 @ spain ) ) ) ) ) ) &
% 0.53/0.81 ( c @ X12 @ spain ) ) ) &
% 0.53/0.81 ( ~( ![X10:reg]: ( ( c @ X10 @ spain ) => ( c @ X10 @ catalunya ) ) ) ) &
% 0.53/0.81 ( ![X8:reg]: ( ( c @ X8 @ catalunya ) => ( c @ X8 @ spain ) ) ) ) ))).
% 0.53/0.81 thf(zf_stmt_3, type, zip_tseitin_3 : reg > reg > $o).
% 0.53/0.81 thf(zf_stmt_4, axiom,
% 0.53/0.81 (![X16:reg,X14:reg]:
% 0.53/0.81 ( ( ( c @ X16 @ X14 ) => ( c @ X16 @ spain ) ) =>
% 0.53/0.81 ( zip_tseitin_3 @ X16 @ X14 ) ))).
% 0.53/0.81 thf(zf_stmt_5, type, zip_tseitin_2 : reg > reg > reg > $o).
% 0.53/0.81 thf(zf_stmt_6, axiom,
% 0.53/0.81 (![X18:reg,X14:reg,X12:reg]:
% 0.53/0.81 ( ( ( c @ X18 @ X14 ) => ( c @ X18 @ X12 ) ) =>
% 0.53/0.81 ( zip_tseitin_2 @ X18 @ X14 @ X12 ) ))).
% 0.53/0.81 thf(zf_stmt_7, type, zip_tseitin_1 : reg > reg > $o).
% 0.53/0.81 thf(zf_stmt_8, axiom,
% 0.53/0.81 (![X22:reg,X20:reg]:
% 0.53/0.81 ( ( ( c @ X22 @ X20 ) => ( c @ X22 @ catalunya ) ) =>
% 0.53/0.81 ( zip_tseitin_1 @ X22 @ X20 ) ))).
% 0.53/0.81 thf(zf_stmt_9, type, zip_tseitin_0 : reg > reg > reg > $o).
% 0.53/0.81 thf(zf_stmt_10, axiom,
% 0.53/0.81 (![X24:reg,X20:reg,X12:reg]:
% 0.53/0.81 ( ( ( c @ X24 @ X20 ) => ( c @ X24 @ X12 ) ) =>
% 0.53/0.81 ( zip_tseitin_0 @ X24 @ X20 @ X12 ) ))).
% 0.53/0.81 thf(zf_stmt_11, axiom,
% 0.53/0.81 (![X4:$i,X6:$i]:
% 0.53/0.81 ( ( ( ![X8:reg]: ( ( c @ X8 @ catalunya ) => ( c @ X8 @ spain ) ) ) &
% 0.53/0.81 ( ~( ![X10:reg]: ( ( c @ X10 @ spain ) => ( c @ X10 @ catalunya ) ) ) ) &
% 0.53/0.81 ( ?[X12:reg]:
% 0.53/0.81 ( ( c @ X12 @ spain ) &
% 0.53/0.81 ( ~( ?[X14:reg]:
% 0.53/0.81 ( ( ![X16:reg]: ( zip_tseitin_3 @ X16 @ X14 ) ) &
% 0.53/0.81 ( ![X18:reg]: ( zip_tseitin_2 @ X18 @ X14 @ X12 ) ) ) ) ) &
% 0.53/0.81 ( c @ X12 @ catalunya ) &
% 0.53/0.81 ( ~( ?[X20:reg]:
% 0.53/0.81 ( ( ![X22:reg]: ( zip_tseitin_1 @ X22 @ X20 ) ) &
% 0.53/0.81 ( ![X24:reg]: ( zip_tseitin_0 @ X24 @ X20 @ X12 ) ) ) ) ) ) ) ) |
% 0.53/0.81 ( ~( a @ X4 @ X6 ) ) ))).
% 0.53/0.81 thf(zip_derived_cl18, plain,
% 0.53/0.81 (![X0 : $i, X1 : $i]: (~ (c @ sk__11 @ catalunya) | ~ (a @ X0 @ X1))),
% 0.53/0.81 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.53/0.81 thf(c_reflexive, axiom, (![X:reg]: ( c @ X @ X ))).
% 0.53/0.81 thf(zip_derived_cl0, plain, (![X0 : reg]: (c @ X0 @ X0)),
% 0.53/0.81 inference('cnf', [status(esa)], [c_reflexive])).
% 0.53/0.81 thf(zip_derived_cl38, plain,
% 0.53/0.81 (![X0 : reg, X1 : reg, X2 : reg]: ( (c @ X0 @ X1) | ~ (c @ X0 @ X2))),
% 0.53/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.53/0.81 thf(zip_derived_cl73, plain, (![X0 : reg, X1 : reg]: (c @ X0 @ X1)),
% 0.53/0.81 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl38])).
% 0.53/0.81 thf(zip_derived_cl82, plain, (![X0 : $i, X1 : $i]: ~ (a @ X0 @ X1)),
% 0.53/0.81 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl73])).
% 0.53/0.81 thf(zip_derived_cl84, plain, ($false),
% 0.53/0.81 inference('sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl82])).
% 0.53/0.81
% 0.53/0.81 % SZS output end Refutation
% 0.53/0.81
% 0.53/0.81
% 0.53/0.81 % Terminating...
% 1.66/0.91 % Runner terminated.
% 1.66/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------