%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEG016^1 : 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.fqgxaYf26t true
% Computer : n007.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 0.55s 0.89s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.18 % Problem : GEG016^1 : TPTP v9.2.0. Released v4.1.0.
% 0.10/0.19 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fqgxaYf26t true
% 0.12/0.40 % Computer : n007.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8042.1875MB
% 0.12/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Wed Oct 1 11:14:53 EDT 2025
% 0.12/0.40 % CPUTime :
% 0.12/0.40 % Running portfolio for 300 s
% 0.12/0.40 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41 % Number of cores: 8
% 0.12/0.41 % Python version: Python 3.6.8
% 0.12/0.41 % Running in HO mode
% 0.47/0.70 % Total configuration time : 828
% 0.47/0.70 % Estimated wc time : 1656
% 0.47/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.79 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.80 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.52/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.52/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.86 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.55/0.89 % Solved by lams/40_c_ic.sh.
% 0.55/0.89 % done 123 iterations in 0.074s
% 0.55/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.89 % SZS output start Refutation
% 0.55/0.89 thf(reg_type, type, reg: $tType).
% 0.55/0.89 thf(zip_tseitin_1_type, type, zip_tseitin_1: reg > reg > $o).
% 0.55/0.89 thf(sk__9_type, type, sk__9: reg).
% 0.55/0.89 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.55/0.89 thf(sk__8_type, type, sk__8: reg).
% 0.55/0.89 thf(fool_type, type, fool: $i > $i > $o).
% 0.55/0.89 thf(france_type, type, france: reg).
% 0.55/0.89 thf(sk__10_type, type, sk__10: $i).
% 0.55/0.89 thf(ec_type, type, ec: reg > reg > $o).
% 0.55/0.89 thf(o_type, type, o: reg > reg > $o).
% 0.55/0.89 thf(sk__6_type, type, sk__6: $i).
% 0.55/0.89 thf(sk__5_type, type, sk__5: reg > reg).
% 0.55/0.89 thf(c_type, type, c: reg > reg > $o).
% 0.55/0.89 thf(zip_tseitin_0_type, type, zip_tseitin_0: reg > reg > $o).
% 0.55/0.89 thf(sk__7_type, type, sk__7: reg).
% 0.55/0.89 thf(p_type, type, p: reg > reg > $o).
% 0.55/0.89 thf(spain_type, type, spain: reg).
% 0.55/0.89 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 0.55/0.89 thf(sk__4_type, type, sk__4: reg > reg).
% 0.55/0.89 thf(o, axiom,(( o ) =
% 0.55/0.89 (^[X:reg,Y:reg]: ( ?[Z:reg]: ( ( p @ Z @ Y ) & ( p @ Z @ X ) ) )))).
% 0.55/0.89 thf(p, axiom,(( p ) =
% 0.55/0.89 (^[X:reg,Y:reg]: ( ![Z:reg]: ( ( c @ Z @ X ) => ( c @ Z @ Y ) ) )))).
% 0.55/0.89 thf('0', plain,
% 0.55/0.89 (( p ) =
% 0.55/0.89 ( ^[X:reg,Y:reg]: ( ![Z:reg]: ( ( c @ Z @ X ) => ( c @ Z @ Y ) ) ) )),
% 0.55/0.89 inference('simplify_rw_rule', [status(thm)], [p])).
% 0.55/0.89 thf('1', plain,
% 0.55/0.89 (( p ) =
% 0.55/0.89 ( ^[V_1:reg,V_2:reg]:
% 0.55/0.89 ( ![X4:reg]: ( ( c @ X4 @ V_1 ) => ( c @ X4 @ V_2 ) ) ) )),
% 0.55/0.89 define([status(thm)])).
% 0.55/0.89 thf('2', plain,
% 0.55/0.89 (( o ) =
% 0.55/0.89 ( ^[X:reg,Y:reg]: ( ?[Z:reg]: ( ( p @ Z @ Y ) & ( p @ Z @ X ) ) ) )),
% 0.55/0.89 inference('simplify_rw_rule', [status(thm)], [o, '1'])).
% 0.55/0.89 thf('3', plain,
% 0.55/0.89 (( o ) =
% 0.55/0.89 ( ^[V_1:reg,V_2:reg]:
% 0.55/0.89 ( ?[X4:reg]: ( ( p @ X4 @ V_2 ) & ( p @ X4 @ V_1 ) ) ) )),
% 0.55/0.89 define([status(thm)])).
% 0.55/0.89 thf(mvalid, axiom,(( mvalid ) =
% 0.55/0.89 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))).
% 0.55/0.89 thf('4', plain,
% 0.55/0.89 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )),
% 0.55/0.89 inference('simplify_rw_rule', [status(thm)], [mvalid])).
% 0.55/0.89 thf('5', plain,
% 0.55/0.89 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )),
% 0.55/0.89 define([status(thm)])).
% 0.55/0.89 thf(mbox, axiom,(( mbox ) =
% 0.55/0.89 (^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]:
% 0.55/0.89 ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) )))).
% 0.55/0.89 thf('6', plain,
% 0.55/0.89 (( mbox ) =
% 0.55/0.89 ( ^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]:
% 0.55/0.89 ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) ) )),
% 0.55/0.89 inference('simplify_rw_rule', [status(thm)], [mbox])).
% 0.55/0.89 thf('7', plain,
% 0.55/0.89 (( mbox ) =
% 0.55/0.89 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o ),V_3:$i]:
% 0.55/0.89 ( ![X4:$i]: ( ( V_2 @ X4 ) | ( ~( V_1 @ V_3 @ X4 ) ) ) ) )),
% 0.55/0.89 define([status(thm)])).
% 0.55/0.89 thf(con, conjecture,
% 0.55/0.89 (mvalid @
% 0.55/0.89 ( mbox @
% 0.55/0.89 fool @
% 0.55/0.89 ( ^[X:$i]:
% 0.55/0.89 ( ![Z:reg,Y:reg]:
% 0.55/0.89 ( ( ( p @ Z @ spain ) & ( p @ Y @ france ) ) => ( ~( o @ Z @ Y ) ) ) ) ) ))).
% 0.55/0.89 thf(zf_stmt_0, conjecture,
% 0.55/0.89 (![X4:$i,X6:$i]:
% 0.55/0.89 ( ( ![X8:reg,X10:reg]:
% 0.55/0.89 ( ( ( ![X12:reg]: ( ( c @ X12 @ X8 ) => ( c @ X12 @ spain ) ) ) &
% 0.55/0.89 ( ![X14:reg]: ( ( c @ X14 @ X10 ) => ( c @ X14 @ france ) ) ) ) =>
% 0.55/0.89 ( ~( ?[X16:reg]:
% 0.55/0.89 ( ( ![X18:reg]: ( ( c @ X18 @ X16 ) => ( c @ X18 @ X10 ) ) ) &
% 0.55/0.89 ( ![X20:reg]: ( ( c @ X20 @ X16 ) => ( c @ X20 @ X8 ) ) ) ) ) ) ) ) |
% 0.55/0.89 ( ~( fool @ X4 @ X6 ) ) ))).
% 0.55/0.89 thf(zf_stmt_1, negated_conjecture,
% 0.55/0.89 (~( ![X4:$i,X6:$i]:
% 0.55/0.89 ( ( ![X8:reg,X10:reg]:
% 0.55/0.89 ( ( ( ![X12:reg]: ( ( c @ X12 @ X8 ) => ( c @ X12 @ spain ) ) ) &
% 0.55/0.89 ( ![X14:reg]: ( ( c @ X14 @ X10 ) => ( c @ X14 @ france ) ) ) ) =>
% 0.55/0.89 ( ~( ?[X16:reg]:
% 0.55/0.89 ( ( ![X18:reg]: ( ( c @ X18 @ X16 ) => ( c @ X18 @ X10 ) ) ) &
% 0.55/0.89 ( ![X20:reg]: ( ( c @ X20 @ X16 ) => ( c @ X20 @ X8 ) ) ) ) ) ) ) ) |
% 0.55/0.89 ( ~( fool @ X4 @ X6 ) ) ) )),
% 0.55/0.89 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 0.55/0.89 thf(zip_derived_cl10, plain, ( (fool @ sk__6 @ sk__10)),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(ec, axiom,(( ec ) =
% 0.55/0.89 (^[X:reg,Y:reg]: ( ( c @ X @ Y ) & ( ~( o @ X @ Y ) ) )))).
% 0.55/0.89 thf('8', plain,
% 0.55/0.89 (( ec ) = ( ^[X:reg,Y:reg]: ( ( c @ X @ Y ) & ( ~( o @ X @ Y ) ) ) )),
% 0.55/0.89 inference('simplify_rw_rule', [status(thm)], [ec, '3', '1'])).
% 0.55/0.89 thf('9', plain,
% 0.55/0.89 (( ec ) =
% 0.55/0.89 ( ^[V_1:reg,V_2:reg]: ( ( c @ V_1 @ V_2 ) & ( ~( o @ V_1 @ V_2 ) ) ) )),
% 0.55/0.89 define([status(thm)])).
% 0.55/0.89 thf(ax2, axiom,
% 0.55/0.89 (mvalid @ ( mbox @ fool @ ( ^[X:$i]: ( ec @ spain @ france ) ) ))).
% 0.55/0.89 thf(zf_stmt_2, axiom,
% 0.55/0.89 (![X4:$i,X6:$i]:
% 0.55/0.89 ( ( ~( fool @ X4 @ X6 ) ) |
% 0.55/0.89 ( ( ~( ?[X8:reg]:
% 0.55/0.89 ( ( ![X12:reg]: ( ( c @ X12 @ X8 ) => ( c @ X12 @ spain ) ) ) &
% 0.55/0.89 ( ![X10:reg]: ( ( c @ X10 @ X8 ) => ( c @ X10 @ france ) ) ) ) ) ) &
% 0.55/0.89 ( c @ spain @ france ) ) ))).
% 0.55/0.89 thf(zf_stmt_3, axiom,
% 0.55/0.89 (![X10:reg,X8:reg]:
% 0.55/0.89 ( ( ( c @ X10 @ X8 ) => ( c @ X10 @ france ) ) =>
% 0.55/0.89 ( zip_tseitin_1 @ X10 @ X8 ) ))).
% 0.55/0.89 thf(zip_derived_cl5, plain,
% 0.55/0.89 (![X0 : reg, X1 : reg]:
% 0.55/0.89 ( (zip_tseitin_1 @ X0 @ X1) | ~ (c @ X0 @ france))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.89 thf(zip_derived_cl10, plain, ( (fool @ sk__6 @ sk__10)),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl10, plain, ( (fool @ sk__6 @ sk__10)),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl6, plain,
% 0.55/0.89 (![X0 : reg, X1 : reg]: ( (zip_tseitin_1 @ X0 @ X1) | (c @ X0 @ X1))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.89 thf(zip_derived_cl10, plain, ( (fool @ sk__6 @ sk__10)),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl6, plain,
% 0.55/0.89 (![X0 : reg, X1 : reg]: ( (zip_tseitin_1 @ X0 @ X1) | (c @ X0 @ X1))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.89 thf(zf_stmt_4, axiom,
% 0.55/0.89 (![X12:reg,X8:reg]:
% 0.55/0.89 ( ( ( c @ X12 @ X8 ) => ( c @ X12 @ spain ) ) =>
% 0.55/0.89 ( zip_tseitin_0 @ X12 @ X8 ) ))).
% 0.55/0.89 thf(zip_derived_cl4, plain,
% 0.55/0.89 (![X0 : reg, X1 : reg]: ( (zip_tseitin_0 @ X0 @ X1) | (c @ X0 @ X1))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/0.89 thf(zf_stmt_5, type, zip_tseitin_1 : reg > reg > $o).
% 0.55/0.89 thf(zf_stmt_6, type, zip_tseitin_0 : reg > reg > $o).
% 0.55/0.89 thf(zf_stmt_7, axiom,
% 0.55/0.89 (![X4:$i,X6:$i]:
% 0.55/0.89 ( ( ( c @ spain @ france ) &
% 0.55/0.89 ( ~( ?[X8:reg]:
% 0.55/0.89 ( ( ![X10:reg]: ( zip_tseitin_1 @ X10 @ X8 ) ) &
% 0.55/0.89 ( ![X12:reg]: ( zip_tseitin_0 @ X12 @ X8 ) ) ) ) ) ) |
% 0.55/0.89 ( ~( fool @ X4 @ X6 ) ) ))).
% 0.55/0.89 thf(zip_derived_cl8, plain,
% 0.55/0.89 (![X0 : reg, X1 : $i, X2 : $i]:
% 0.55/0.89 (~ (zip_tseitin_0 @ (sk__5 @ X0) @ X0)
% 0.55/0.89 | ~ (zip_tseitin_1 @ (sk__4 @ X0) @ X0)
% 0.55/0.89 | ~ (fool @ X1 @ X2))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.89 thf(zip_derived_cl21, plain,
% 0.55/0.89 (![X0 : reg, X1 : $i, X2 : $i]:
% 0.55/0.89 ( (c @ (sk__5 @ X0) @ X0)
% 0.55/0.89 | ~ (fool @ X2 @ X1)
% 0.55/0.89 | ~ (zip_tseitin_1 @ (sk__4 @ X0) @ X0))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl8])).
% 0.55/0.89 thf(zip_derived_cl25, plain,
% 0.55/0.89 (![X0 : reg, X1 : $i, X2 : $i]:
% 0.55/0.89 ( (c @ (sk__4 @ X0) @ X0)
% 0.55/0.89 | ~ (fool @ X2 @ X1)
% 0.55/0.89 | (c @ (sk__5 @ X0) @ X0))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl21])).
% 0.55/0.89 thf(zip_derived_cl29, plain,
% 0.55/0.89 (![X0 : reg]: ( (c @ (sk__5 @ X0) @ X0) | (c @ (sk__4 @ X0) @ X0))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl25])).
% 0.55/0.89 thf(zip_derived_cl14, plain,
% 0.55/0.89 (![X3 : reg]: ( (c @ X3 @ sk__7) | ~ (c @ X3 @ sk__9))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl32, plain,
% 0.55/0.89 (( (c @ (sk__4 @ sk__9) @ sk__9) | (c @ (sk__5 @ sk__9) @ sk__7))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl14])).
% 0.55/0.89 thf(zip_derived_cl11, plain,
% 0.55/0.89 (![X0 : reg]: ( (c @ X0 @ spain) | ~ (c @ X0 @ sk__7))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl49, plain,
% 0.55/0.89 (( (c @ (sk__4 @ sk__9) @ sk__9) | (c @ (sk__5 @ sk__9) @ spain))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl11])).
% 0.55/0.89 thf(zip_derived_cl13, plain,
% 0.55/0.89 (![X2 : reg]: ( (c @ X2 @ sk__8) | ~ (c @ X2 @ sk__9))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl80, plain,
% 0.55/0.89 (( (c @ (sk__5 @ sk__9) @ spain) | (c @ (sk__4 @ sk__9) @ sk__8))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl13])).
% 0.55/0.89 thf(zip_derived_cl12, plain,
% 0.55/0.89 (![X1 : reg]: ( (c @ X1 @ france) | ~ (c @ X1 @ sk__8))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl105, plain,
% 0.55/0.89 (( (c @ (sk__5 @ sk__9) @ spain) | (c @ (sk__4 @ sk__9) @ france))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl12])).
% 0.55/0.89 thf(zip_derived_cl3, plain,
% 0.55/0.89 (![X0 : reg, X1 : reg]: ( (zip_tseitin_0 @ X0 @ X1) | ~ (c @ X0 @ spain))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/0.89 thf(zip_derived_cl8, plain,
% 0.55/0.89 (![X0 : reg, X1 : $i, X2 : $i]:
% 0.55/0.89 (~ (zip_tseitin_0 @ (sk__5 @ X0) @ X0)
% 0.55/0.89 | ~ (zip_tseitin_1 @ (sk__4 @ X0) @ X0)
% 0.55/0.89 | ~ (fool @ X1 @ X2))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.89 thf(zip_derived_cl22, plain,
% 0.55/0.89 (![X0 : reg, X1 : $i, X2 : $i]:
% 0.55/0.89 (~ (c @ (sk__5 @ X0) @ spain)
% 0.55/0.89 | ~ (fool @ X2 @ X1)
% 0.55/0.89 | ~ (zip_tseitin_1 @ (sk__4 @ X0) @ X0))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 0.55/0.89 thf(zip_derived_cl109, plain,
% 0.55/0.89 (![X0 : $i, X1 : $i]:
% 0.55/0.89 ( (c @ (sk__4 @ sk__9) @ france)
% 0.55/0.89 | ~ (zip_tseitin_1 @ (sk__4 @ sk__9) @ sk__9)
% 0.55/0.89 | ~ (fool @ X1 @ X0))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl22])).
% 0.55/0.89 thf(zip_derived_cl111, plain,
% 0.55/0.89 (![X0 : $i, X1 : $i]:
% 0.55/0.89 ( (c @ (sk__4 @ sk__9) @ sk__9)
% 0.55/0.89 | ~ (fool @ X1 @ X0)
% 0.55/0.89 | (c @ (sk__4 @ sk__9) @ france))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl109])).
% 0.55/0.89 thf(zip_derived_cl125, plain,
% 0.55/0.89 (( (c @ (sk__4 @ sk__9) @ france) | (c @ (sk__4 @ sk__9) @ sk__9))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl111])).
% 0.55/0.89 thf(zip_derived_cl13, plain,
% 0.55/0.89 (![X2 : reg]: ( (c @ X2 @ sk__8) | ~ (c @ X2 @ sk__9))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl136, plain,
% 0.55/0.89 (( (c @ (sk__4 @ sk__9) @ france) | (c @ (sk__4 @ sk__9) @ sk__8))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl13])).
% 0.55/0.89 thf(zip_derived_cl12, plain,
% 0.55/0.89 (![X1 : reg]: ( (c @ X1 @ france) | ~ (c @ X1 @ sk__8))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl148, plain, ( (c @ (sk__4 @ sk__9) @ france)),
% 0.55/0.89 inference('clc', [status(thm)], [zip_derived_cl136, zip_derived_cl12])).
% 0.55/0.89 thf(zip_derived_cl5, plain,
% 0.55/0.89 (![X0 : reg, X1 : reg]:
% 0.55/0.89 ( (zip_tseitin_1 @ X0 @ X1) | ~ (c @ X0 @ france))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.89 thf(zip_derived_cl21, plain,
% 0.55/0.89 (![X0 : reg, X1 : $i, X2 : $i]:
% 0.55/0.89 ( (c @ (sk__5 @ X0) @ X0)
% 0.55/0.89 | ~ (fool @ X2 @ X1)
% 0.55/0.89 | ~ (zip_tseitin_1 @ (sk__4 @ X0) @ X0))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl8])).
% 0.55/0.89 thf(zip_derived_cl26, plain,
% 0.55/0.89 (![X0 : reg, X1 : $i, X2 : $i]:
% 0.55/0.89 (~ (c @ (sk__4 @ X0) @ france)
% 0.55/0.89 | ~ (fool @ X2 @ X1)
% 0.55/0.89 | (c @ (sk__5 @ X0) @ X0))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl21])).
% 0.55/0.89 thf(zip_derived_cl149, plain,
% 0.55/0.89 (![X0 : $i, X1 : $i]:
% 0.55/0.89 ( (c @ (sk__5 @ sk__9) @ sk__9) | ~ (fool @ X1 @ X0))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl26])).
% 0.55/0.89 thf(zip_derived_cl151, plain, ( (c @ (sk__5 @ sk__9) @ sk__9)),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl149])).
% 0.55/0.89 thf(zip_derived_cl14, plain,
% 0.55/0.89 (![X3 : reg]: ( (c @ X3 @ sk__7) | ~ (c @ X3 @ sk__9))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl153, plain, ( (c @ (sk__5 @ sk__9) @ sk__7)),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl14])).
% 0.55/0.89 thf(zip_derived_cl11, plain,
% 0.55/0.89 (![X0 : reg]: ( (c @ X0 @ spain) | ~ (c @ X0 @ sk__7))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl161, plain, ( (c @ (sk__5 @ sk__9) @ spain)),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl153, zip_derived_cl11])).
% 0.55/0.89 thf(zip_derived_cl22, plain,
% 0.55/0.89 (![X0 : reg, X1 : $i, X2 : $i]:
% 0.55/0.89 (~ (c @ (sk__5 @ X0) @ spain)
% 0.55/0.89 | ~ (fool @ X2 @ X1)
% 0.55/0.89 | ~ (zip_tseitin_1 @ (sk__4 @ X0) @ X0))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 0.55/0.89 thf(zip_derived_cl165, plain,
% 0.55/0.89 (![X0 : $i, X1 : $i]:
% 0.55/0.89 (~ (zip_tseitin_1 @ (sk__4 @ sk__9) @ sk__9) | ~ (fool @ X1 @ X0))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl22])).
% 0.55/0.89 thf(zip_derived_cl173, plain,
% 0.55/0.89 (![X0 : $i, X1 : $i]:
% 0.55/0.89 (~ (c @ (sk__4 @ sk__9) @ france) | ~ (fool @ X1 @ X0))),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl165])).
% 0.55/0.89 thf(zip_derived_cl148, plain, ( (c @ (sk__4 @ sk__9) @ france)),
% 0.55/0.89 inference('clc', [status(thm)], [zip_derived_cl136, zip_derived_cl12])).
% 0.55/0.89 thf(zip_derived_cl176, plain, (![X0 : $i, X1 : $i]: ~ (fool @ X1 @ X0)),
% 0.55/0.89 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl148])).
% 0.55/0.89 thf(zip_derived_cl178, plain, ($false),
% 0.55/0.89 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl176])).
% 0.55/0.89
% 0.55/0.89 % SZS output end Refutation
% 0.55/0.89
% 0.55/0.89
% 0.55/0.89 % Terminating...
% 1.71/1.04 % Runner terminated.
% 1.71/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------