0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UA5L32CGly true 0.09/0.30 % Computer : n008.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Tue Aug 9 04:44:53 EDT 2022 0.09/0.30 % CPUTime : 0.09/0.30 % Running portfolio for 960 s 0.09/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.09/0.30 % Number of cores: 8 0.14/0.30 % Python version: Python 3.6.8 0.14/0.31 % Running in HO mode 0.15/0.52 % Total configuration time : 828 0.15/0.52 % Estimated wc time : 1656 0.15/0.52 % Estimated cpu time (8 cpus) : 207.0 0.73/0.61 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.73/0.61 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 1.04/0.62 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 1.04/0.63 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 1.12/0.67 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 1.12/0.67 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 1.12/0.67 % Solved by lams/15_e_short1.sh. 1.12/0.67 % done 0 iterations in 0.011s 1.12/0.67 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 1.12/0.67 % SZS output start Refutation 1.12/0.67 thf(subset_type, type, subset: $i > $i > $o). 1.12/0.67 thf(lam_type, type, lam: $i > $i > ($i > $i) > $i). 1.12/0.67 thf(in_type, type, in: $i > $i > $o). 1.12/0.67 thf(dpsetconstr_type, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 1.12/0.67 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 1.12/0.67 thf(cartprod_type, type, cartprod: $i > $i > $i). 1.12/0.67 thf(func_type, type, func: $i > $i > $i > $o). 1.12/0.67 thf(singleton_type, type, singleton: $i > $o). 1.12/0.67 thf(kpair_type, type, kpair: $i > $i > $i). 1.12/0.67 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 1.12/0.67 thf(ex1_type, type, ex1: $i > ($i > $o) > $o). 1.12/0.67 thf(emptyset_type, type, emptyset: $i). 1.12/0.67 thf(lamProp_type, type, lamProp: $o). 1.12/0.67 thf(breln_type, type, breln: $i > $i > $i > $o). 1.12/0.67 thf(lam, axiom,(( lam ) = 1.12/0.67 (^[A:$i,B:$i,Xf:( $i > $i )]: 1.12/0.67 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( ( Xf @ Xx ) = ( Xy ) ) ) )))). 1.12/0.67 thf('0', plain, 1.12/0.67 (( lam ) = 1.12/0.67 ( ^[A:$i,B:$i,Xf:( $i > $i )]: 1.12/0.67 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( ( Xf @ Xx ) = ( Xy ) ) ) ) )), 1.12/0.67 inference('simplify_rw_rule', [status(thm)], [lam])). 1.12/0.67 thf('1', plain, 1.12/0.67 (( lam ) = 1.12/0.67 ( ^[V_1:$i,V_2:$i,V_3:( $i > $i )]: 1.12/0.67 ( dpsetconstr @ 1.12/0.67 V_1 @ V_2 @ ( ^[V_4:$i,V_5:$i]: ( ( V_3 @ V_4 ) = ( V_5 ) ) ) ) )), 1.12/0.67 define([status(thm)])). 1.12/0.67 thf(lamProp, axiom, lamProp = 1.12/0.67 (![A:$i,B:$i,Xf:( $i > $i )]: 1.12/0.67 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( Xf @ Xx ) @ B ) ) ) => 1.12/0.67 ( func @ 1.12/0.67 A @ B @ 1.12/0.67 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( ( Xf @ Xx ) = ( Xy ) ) ) ) ) ))). 1.12/0.67 thf('2', plain, 1.12/0.67 (( lamProp ) = 1.12/0.67 ( ![X4:$i,X6:$i,X8:( $i > $i )]: 1.12/0.67 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 1.12/0.67 ( func @ 1.12/0.67 X4 @ X6 @ 1.12/0.67 ( dpsetconstr @ 1.12/0.67 X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( ( X8 @ V_1 ) = ( V_2 ) ) ) ) ) ) )), 1.12/0.67 define([status(thm)])). 1.12/0.67 thf(func, axiom,(( func ) = 1.12/0.67 (^[A:$i,B:$i,R:$i]: 1.12/0.67 ( ( breln @ A @ B @ R ) & 1.12/0.67 ( ![Xx:$i]: 1.12/0.67 ( ( in @ Xx @ A ) => 1.12/0.67 ( ex1 @ B @ ( ^[Xy:$i]: ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) )))). 1.12/0.67 thf(breln, axiom,(( breln ) = 1.12/0.67 (^[A:$i,B:$i,C:$i]: ( subset @ C @ ( cartprod @ A @ B ) )))). 1.12/0.67 thf('3', plain, 1.12/0.67 (( breln ) = ( ^[A:$i,B:$i,C:$i]: ( subset @ C @ ( cartprod @ A @ B ) ) )), 1.12/0.67 inference('simplify_rw_rule', [status(thm)], [breln])). 1.12/0.67 thf('4', plain, 1.12/0.67 (( breln ) = 1.12/0.67 ( ^[V_1:$i,V_2:$i,V_3:$i]: ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) )), 1.12/0.67 define([status(thm)])). 1.12/0.67 thf(ex1, axiom,(( ex1 ) = 1.12/0.67 (^[A:$i,Xphi:( $i > $o )]: 1.12/0.67 ( singleton @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) )))). 1.12/0.67 thf(singleton, axiom,(( singleton ) = 1.12/0.67 (^[A:$i]: 1.12/0.67 ( ?[Xx:$i]: 1.12/0.67 ( ( ( A ) = ( setadjoin @ Xx @ emptyset ) ) & ( in @ Xx @ A ) ) )))). 1.12/0.67 thf('5', plain, 1.12/0.67 (( singleton ) = 1.12/0.67 ( ^[A:$i]: 1.12/0.67 ( ?[Xx:$i]: 1.12/0.67 ( ( ( A ) = ( setadjoin @ Xx @ emptyset ) ) & ( in @ Xx @ A ) ) ) )), 1.12/0.67 inference('simplify_rw_rule', [status(thm)], [singleton])). 1.12/0.67 thf('6', plain, 1.12/0.67 (( singleton ) = 1.12/0.67 ( ^[V_1:$i]: 1.12/0.67 ( ?[X4:$i]: 1.12/0.67 ( ( ( V_1 ) = ( setadjoin @ X4 @ emptyset ) ) & ( in @ X4 @ V_1 ) ) ) )), 1.12/0.67 define([status(thm)])). 1.12/0.67 thf('7', plain, 1.12/0.67 (( ex1 ) = 1.12/0.67 ( ^[A:$i,Xphi:( $i > $o )]: 1.12/0.67 ( singleton @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) )), 1.12/0.67 inference('simplify_rw_rule', [status(thm)], [ex1, '6'])). 1.12/0.67 thf('8', plain, 1.12/0.67 (( ex1 ) = 1.12/0.67 ( ^[V_1:$i,V_2:( $i > $o )]: 1.12/0.67 ( singleton @ ( dsetconstr @ V_1 @ ( ^[V_3:$i]: ( V_2 @ V_3 ) ) ) ) )), 1.12/0.67 define([status(thm)])). 1.12/0.67 thf('9', plain, 1.12/0.67 (( func ) = 1.12/0.67 ( ^[A:$i,B:$i,R:$i]: 1.12/0.67 ( ( breln @ A @ B @ R ) & 1.12/0.67 ( ![Xx:$i]: 1.12/0.67 ( ( in @ Xx @ A ) => 1.12/0.67 ( ex1 @ B @ ( ^[Xy:$i]: ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) ) )), 1.12/0.67 inference('simplify_rw_rule', [status(thm)], [func, '4', '8', '6'])). 1.12/0.67 thf('10', plain, 1.12/0.67 (( func ) = 1.12/0.67 ( ^[V_1:$i,V_2:$i,V_3:$i]: 1.12/0.67 ( ( breln @ V_1 @ V_2 @ V_3 ) & 1.12/0.67 ( ![X4:$i]: 1.12/0.67 ( ( in @ X4 @ V_1 ) => 1.12/0.67 ( ex1 @ V_2 @ ( ^[V_4:$i]: ( in @ ( kpair @ X4 @ V_4 ) @ V_3 ) ) ) ) ) ) )), 1.12/0.67 define([status(thm)])). 1.12/0.67 thf(lamp, conjecture, 1.12/0.67 (( lamProp ) => 1.12/0.67 ( ![A:$i,B:$i,Xf:( $i > $i )]: 1.12/0.67 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( Xf @ Xx ) @ B ) ) ) => 1.12/0.67 ( func @ A @ B @ ( lam @ A @ B @ ( ^[Xx:$i]: ( Xf @ Xx ) ) ) ) ) ))). 1.12/0.67 thf(zf_stmt_0, conjecture, 1.12/0.67 (( ![X4:$i,X6:$i,X8:( $i > $i )]: 1.12/0.67 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 1.12/0.67 ( ( ![X12:$i]: 1.12/0.67 ( ( in @ X12 @ X4 ) => 1.12/0.67 ( ?[X14:$i]: 1.12/0.67 ( ( in @ 1.12/0.67 X14 @ 1.12/0.67 ( dsetconstr @ 1.12/0.67 X6 @ 1.12/0.67 ( ^[V_6:$i]: 1.12/0.67 ( in @ 1.12/0.67 ( kpair @ X12 @ V_6 ) @ 1.12/0.67 ( dpsetconstr @ 1.12/0.67 X4 @ X6 @ 1.12/0.67 ( ^[V_7:$i,V_8:$i]: ( ( X8 @ V_7 ) = ( V_8 ) ) ) ) ) ) ) ) & 1.12/0.67 ( ( dsetconstr @ 1.12/0.67 X6 @ 1.12/0.67 ( ^[V_3:$i]: 1.12/0.67 ( in @ 1.12/0.67 ( kpair @ X12 @ V_3 ) @ 1.12/0.67 ( dpsetconstr @ 1.12/0.67 X4 @ X6 @ 1.12/0.67 ( ^[V_4:$i,V_5:$i]: ( ( X8 @ V_4 ) = ( V_5 ) ) ) ) ) ) ) = 1.12/0.67 ( setadjoin @ X14 @ emptyset ) ) ) ) ) ) & 1.12/0.67 ( subset @ 1.12/0.67 ( dpsetconstr @ 1.12/0.67 X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( ( X8 @ V_1 ) = ( V_2 ) ) ) ) @ 1.12/0.67 ( cartprod @ X4 @ X6 ) ) ) ) ) => 1.12/0.67 ( ![X16:$i,X18:$i,X20:( $i > $i )]: 1.12/0.67 ( ( ![X22:$i]: ( ( in @ X22 @ X16 ) => ( in @ ( X20 @ X22 ) @ X18 ) ) ) => 1.12/0.67 ( ( ![X24:$i]: 1.12/0.67 ( ( in @ X24 @ X16 ) => 1.12/0.67 ( ?[X26:$i]: 1.12/0.67 ( ( in @ 1.12/0.67 X26 @ 1.12/0.67 ( dsetconstr @ 1.12/0.67 X18 @ 1.12/0.67 ( ^[V_14:$i]: 1.12/0.67 ( in @ 1.12/0.67 ( kpair @ X24 @ V_14 ) @ 1.12/0.67 ( dpsetconstr @ 1.12/0.67 X16 @ X18 @ 1.12/0.67 ( ^[V_15:$i,V_16:$i]: 1.12/0.67 ( ( X20 @ V_15 ) = ( V_16 ) ) ) ) ) ) ) ) & 1.12/0.67 ( ( dsetconstr @ 1.12/0.67 X18 @ 1.12/0.67 ( ^[V_11:$i]: 1.12/0.67 ( in @ 1.12/0.67 ( kpair @ X24 @ V_11 ) @ 1.12/0.67 ( dpsetconstr @ 1.12/0.67 X16 @ X18 @ 1.12/0.67 ( ^[V_12:$i,V_13:$i]: 1.12/0.67 ( ( X20 @ V_12 ) = ( V_13 ) ) ) ) ) ) ) = 1.12/0.67 ( setadjoin @ X26 @ emptyset ) ) ) ) ) ) & 1.12/0.67 ( subset @ 1.12/0.67 ( dpsetconstr @ 1.12/0.67 X16 @ X18 @ ( ^[V_9:$i,V_10:$i]: ( ( X20 @ V_9 ) = ( V_10 ) ) ) ) @ 1.12/0.67 ( cartprod @ X16 @ X18 ) ) ) ) ))). 1.12/0.67 thf(zf_stmt_1, negated_conjecture, 1.12/0.67 (~( ( ![X4:$i,X6:$i,X8:( $i > $i )]: 1.12/0.67 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 1.12/0.67 ( ( ![X12:$i]: 1.12/0.67 ( ( in @ X12 @ X4 ) => 1.12/0.67 ( ?[X14:$i]: 1.12/0.67 ( ( in @ 1.12/0.67 X14 @ 1.12/0.67 ( dsetconstr @ 1.12/0.67 X6 @ 1.12/0.67 ( ^[V_6:$i]: 1.12/0.67 ( in @ 1.12/0.67 ( kpair @ X12 @ V_6 ) @ 1.12/0.67 ( dpsetconstr @ 1.12/0.67 X4 @ X6 @ 1.12/0.67 ( ^[V_7:$i,V_8:$i]: ( ( X8 @ V_7 ) = ( V_8 ) ) ) ) ) ) ) ) & 1.12/0.67 ( ( dsetconstr @ 1.12/0.67 X6 @ 1.12/0.67 ( ^[V_3:$i]: 1.12/0.67 ( in @ 1.12/0.67 ( kpair @ X12 @ V_3 ) @ 1.12/0.67 ( dpsetconstr @ 1.12/0.67 X4 @ X6 @ 1.12/0.67 ( ^[V_4:$i,V_5:$i]: ( ( X8 @ V_4 ) = ( V_5 ) ) ) ) ) ) ) = 1.12/0.67 ( setadjoin @ X14 @ emptyset ) ) ) ) ) ) & 1.12/0.67 ( subset @ 1.12/0.67 ( dpsetconstr @ 1.12/0.67 X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( ( X8 @ V_1 ) = ( V_2 ) ) ) ) @ 1.12/0.67 ( cartprod @ X4 @ X6 ) ) ) ) ) => 1.12/0.67 ( ![X16:$i,X18:$i,X20:( $i > $i )]: 1.12/0.67 ( ( ![X22:$i]: ( ( in @ X22 @ X16 ) => ( in @ ( X20 @ X22 ) @ X18 ) ) ) => 1.12/0.67 ( ( ![X24:$i]: 1.12/0.67 ( ( in @ X24 @ X16 ) => 1.12/0.67 ( ?[X26:$i]: 1.12/0.67 ( ( in @ 1.12/0.67 X26 @ 1.12/0.67 ( dsetconstr @ 1.12/0.67 X18 @ 1.12/0.67 ( ^[V_14:$i]: 1.12/0.67 ( in @ 1.12/0.67 ( kpair @ X24 @ V_14 ) @ 1.12/0.67 ( dpsetconstr @ 1.12/0.67 X16 @ X18 @ 1.12/0.67 ( ^[V_15:$i,V_16:$i]: 1.12/0.67 ( ( X20 @ V_15 ) = ( V_16 ) ) ) ) ) ) ) ) & 1.12/0.67 ( ( dsetconstr @ 1.12/0.67 X18 @ 1.12/0.67 ( ^[V_11:$i]: 1.12/0.67 ( in @ 1.12/0.67 ( kpair @ X24 @ V_11 ) @ 1.12/0.67 ( dpsetconstr @ 1.12/0.67 X16 @ X18 @ 1.12/0.67 ( ^[V_12:$i,V_13:$i]: 1.12/0.67 ( ( X20 @ V_12 ) = ( V_13 ) ) ) ) ) ) ) = 1.12/0.67 ( setadjoin @ X26 @ emptyset ) ) ) ) ) ) & 1.12/0.67 ( subset @ 1.12/0.67 ( dpsetconstr @ 1.12/0.67 X16 @ X18 @ 1.12/0.67 ( ^[V_9:$i,V_10:$i]: ( ( X20 @ V_9 ) = ( V_10 ) ) ) ) @ 1.12/0.67 ( cartprod @ X16 @ X18 ) ) ) ) ) )), 1.12/0.67 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 1.12/0.67 thf(zip_derived_cl0, plain, 1.12/0.67 (~ (((((!!) @ (^[Y0 : $i]: 1.12/0.67 (((!!) @ (^[Y1 : $i]: 1.12/0.67 (((!!) @ (^[Y2 : $i > $i]: 1.12/0.67 (((((!!) @ (^[Y3 : $i]: 1.12/0.67 (((in @ Y3 @ 1.12/0.67 Y0) => (in @ 1.12/0.67 (Y2 @ Y3) @ Y1)))))) => 1.12/0.67 (((((!!) @ (^[Y3 : $i]: 1.12/0.67 (((in @ Y3 @ 1.12/0.67 Y0) => 1.12/0.67 (((??) @ ( 1.12/0.67 ^[Y4 : $i]: 1.12/0.67 (( 1.12/0.67 (in @ 1.12/0.67 Y4 @ 1.12/0.67 ( 1.12/0.67 dsetconstr @ 1.12/0.67 Y1 @ 1.12/0.67 ( 1.12/0.67 ^[Y5 : $i]: 1.12/0.67 (in @ 1.12/0.67 (kpair @ 1.12/0.67 Y3 @ Y5) @ 1.12/0.67 (dpsetconstr @ 1.12/0.67 Y0 @ 1.12/0.67 Y1 @ 1.12/0.67 (^[Y6 : $i, 1.12/0.67 Y7 : $i]: 1.12/0.67 (( 1.12/0.67 (Y2 @ 1.12/0.67 Y6) = 1.12/0.67 (Y7))))))))) & 1.12/0.67 (( 1.12/0.67 (dsetconstr @ 1.12/0.67 Y1 @ 1.12/0.67 ( 1.12/0.67 ^[Y5 : $i]: 1.12/0.67 (in @ 1.12/0.67 (kpair @ 1.12/0.67 Y3 @ Y5) @ 1.12/0.67 (dpsetconstr @ 1.12/0.67 Y0 @ 1.12/0.67 Y1 @ 1.12/0.67 (^[Y6 : $i, 1.12/0.67 Y7 : $i]: 1.12/0.67 (( 1.12/0.67 (Y2 @ 1.12/0.67 Y6) = 1.12/0.67 (Y7)))))))) = 1.12/0.67 (setadjoin @ 1.12/0.67 Y4 @ 1.12/0.67 emptyset))))))))))))) & 1.12/0.67 (subset @ 1.12/0.67 (dpsetconstr @ Y0 @ Y1 @ 1.12/0.67 (^[Y3 : $i,Y4 : $i]: 1.12/0.67 (((Y2 @ Y3) = (Y4))))) @ 1.12/0.67 (cartprod @ Y0 @ Y1))))))))))))))) => 1.12/0.67 (((!!) @ (^[Y0 : $i]: 1.12/0.67 (((!!) @ (^[Y1 : $i]: 1.12/0.67 (((!!) @ (^[Y2 : $i > $i]: 1.12/0.67 (((((!!) @ (^[Y3 : $i]: 1.12/0.67 (((in @ Y3 @ 1.12/0.67 Y0) => (in @ 1.12/0.67 (Y2 @ Y3) @ Y1)))))) => 1.12/0.67 (((((!!) @ (^[Y3 : $i]: 1.12/0.67 (((in @ Y3 @ 1.12/0.67 Y0) => 1.12/0.67 (((??) @ ( 1.12/0.67 ^[Y4 : $i]: 1.12/0.67 (( 1.12/0.67 (in @ 1.12/0.67 Y4 @ 1.12/0.67 ( 1.12/0.67 dsetconstr @ 1.12/0.67 Y1 @ 1.12/0.67 ( 1.12/0.67 ^[Y5 : $i]: 1.12/0.67 (in @ 1.12/0.67 (kpair @ 1.12/0.67 Y3 @ Y5) @ 1.12/0.67 (dpsetconstr @ 1.12/0.67 Y0 @ 1.12/0.67 Y1 @ 1.12/0.67 (^[Y6 : $i, 1.12/0.67 Y7 : $i]: 1.12/0.67 (( 1.12/0.67 (Y2 @ 1.12/0.67 Y6) = 1.12/0.67 (Y7))))))))) & 1.12/0.67 (( 1.12/0.67 (dsetconstr @ 1.12/0.67 Y1 @ 1.12/0.67 ( 1.12/0.67 ^[Y5 : $i]: 1.12/0.67 (in @ 1.12/0.67 (kpair @ 1.12/0.67 Y3 @ Y5) @ 1.12/0.67 (dpsetconstr @ 1.12/0.67 Y0 @ 1.12/0.67 Y1 @ 1.12/0.67 (^[Y6 : $i, 1.12/0.67 Y7 : $i]: 1.12/0.67 (( 1.12/0.67 (Y2 @ 1.12/0.67 Y6) = 1.12/0.67 (Y7)))))))) = 1.12/0.67 (setadjoin @ 1.12/0.67 Y4 @ 1.12/0.67 emptyset))))))))))))) & 1.12/0.67 (subset @ 1.12/0.67 (dpsetconstr @ Y0 @ Y1 @ 1.12/0.67 (^[Y3 : $i,Y4 : $i]: 1.12/0.67 (((Y2 @ Y3) = (Y4))))) @ 1.12/0.67 (cartprod @ Y0 @ Y1)))))))))))))))))), 1.12/0.67 inference('cnf', [status(esa)], [zf_stmt_1])). 1.12/0.67 thf(zip_derived_cl3, plain, 1.12/0.67 (~ (((((!!) @ (^[Y0 : $i]: 1.12/0.67 (((!!) @ (^[Y1 : $i]: 1.12/0.67 (((!!) @ (^[Y2 : $i > $i]: 1.12/0.67 (((((!!) @ (^[Y3 : $i]: 1.12/0.67 (((in @ Y3 @ 1.12/0.67 Y0) => (in @ 1.12/0.67 (Y2 @ Y3) @ Y1)))))) => 1.12/0.67 (((((!!) @ (^[Y3 : $i]: 1.12/0.67 (((in @ Y3 @ 1.12/0.67 Y0) => 1.12/0.67 (((??) @ ( 1.12/0.67 ^[Y4 : $i]: 1.12/0.67 (( 1.12/0.67 (in @ 1.12/0.67 Y4 @ 1.12/0.67 ( 1.12/0.67 dsetconstr @ 1.12/0.67 Y1 @ 1.12/0.67 ( 1.12/0.67 ^[Y5 : $i]: 1.12/0.67 (in @ 1.12/0.67 (kpair @ 1.12/0.67 Y3 @ Y5) @ 1.12/0.67 (dpsetconstr @ 1.12/0.67 Y0 @ 1.12/0.67 Y1 @ 1.12/0.67 (^[Y6 : $i]: 1.12/0.67 (( 1.12/0.67 ($i) = 1.12/0.67 (Y2 @ Y6))))))))) & 1.12/0.67 (( 1.12/0.67 (dsetconstr @ 1.12/0.67 Y1 @ 1.12/0.67 ( 1.12/0.67 ^[Y5 : $i]: 1.12/0.67 (in @ 1.12/0.67 (kpair @ 1.12/0.67 Y3 @ Y5) @ 1.12/0.67 (dpsetconstr @ 1.12/0.67 Y0 @ 1.12/0.67 Y1 @ 1.12/0.67 (^[Y6 : $i]: 1.12/0.67 (( 1.12/0.67 ($i) = 1.12/0.67 (Y2 @ Y6)))))))) = 1.12/0.67 (setadjoin @ 1.12/0.67 Y4 @ 1.12/0.67 emptyset))))))))))))) & 1.12/0.67 (subset @ 1.12/0.67 (dpsetconstr @ Y0 @ Y1 @ 1.12/0.67 (^[Y3 : $i]: 1.12/0.67 ((($i) = (Y2 @ Y3))))) @ 1.12/0.67 (cartprod @ Y0 @ Y1))))))))))))))) => 1.12/0.67 (((!!) @ (^[Y0 : $i]: 1.12/0.67 (((!!) @ (^[Y1 : $i]: 1.12/0.67 (((!!) @ (^[Y2 : $i > $i]: 1.12/0.67 (((((!!) @ (^[Y3 : $i]: 1.12/0.67 (((in @ Y3 @ 1.12/0.67 Y0) => (in @ 1.12/0.67 (Y2 @ Y3) @ Y1)))))) => 1.12/0.67 (((((!!) @ (^[Y3 : $i]: 1.12/0.67 (((in @ Y3 @ 1.12/0.67 Y0) => 1.12/0.67 (((??) @ ( 1.12/0.67 ^[Y4 : $i]: 1.12/0.67 (( 1.12/0.67 (in @ 1.12/0.67 Y4 @ 1.12/0.67 ( 1.12/0.67 dsetconstr @ 1.12/0.67 Y1 @ 1.12/0.67 ( 1.12/0.67 ^[Y5 : $i]: 1.12/0.67 (in @ 1.12/0.67 (kpair @ 1.12/0.67 Y3 @ Y5) @ 1.12/0.67 (dpsetconstr @ 1.12/0.67 Y0 @ 1.12/0.67 Y1 @ 1.12/0.67 (^[Y6 : $i]: 1.12/0.67 (( 1.12/0.67 ($i) = 1.12/0.67 (Y2 @ Y6))))))))) & 1.12/0.67 (( 1.12/0.67 (dsetconstr @ 1.12/0.67 Y1 @ 1.12/0.67 ( 1.12/0.67 ^[Y5 : $i]: 1.12/0.67 (in @ 1.12/0.67 (kpair @ 1.12/0.67 Y3 @ Y5) @ 1.12/0.67 (dpsetconstr @ 1.12/0.67 Y0 @ 1.12/0.67 Y1 @ 1.12/0.67 (^[Y6 : $i]: 1.12/0.67 (( 1.12/0.67 ($i) = 1.12/0.67 (Y2 @ Y6)))))))) = 1.12/0.67 (setadjoin @ 1.12/0.67 Y4 @ 1.12/0.67 emptyset))))))))))))) & 1.12/0.67 (subset @ 1.12/0.67 (dpsetconstr @ Y0 @ Y1 @ 1.12/0.67 (^[Y3 : $i]: 1.12/0.67 ((($i) = (Y2 @ Y3))))) @ 1.12/0.67 (cartprod @ Y0 @ Y1)))))))))))))))))), 1.12/0.67 inference('ho_norm', [status(thm)], [zip_derived_cl0])). 1.12/0.67 thf(zip_derived_cl4, plain, ($false), 1.12/0.67 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl3])). 1.12/0.67 1.12/0.67 % SZS output end Refutation 1.12/0.67 1.12/0.67 1.12/0.67 % Terminating... 1.23/0.77 % Runner terminated. 1.33/0.79 % Zipperpin 1.5 exiting 1.33/0.79 EOF