0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ksZCSXteco true 0.10/0.30 % Computer : n028.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Tue Aug 9 04:49:50 EDT 2022 0.10/0.30 % CPUTime : 0.10/0.30 % Running portfolio for 960 s 0.10/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.10/0.31 % Number of cores: 8 0.10/0.31 % Python version: Python 3.6.8 0.10/0.31 % Running in HO mode 0.45/0.59 % Total configuration time : 828 0.45/0.59 % Estimated wc time : 1656 0.45/0.59 % Estimated cpu time (8 cpus) : 207.0 0.47/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.47/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.47/0.68 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.47/0.68 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.47/0.68 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.47/0.68 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.47/0.68 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.47/0.68 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.49/0.74 % Solved by lams/30_sp5.sh. 0.49/0.74 % done 0 iterations in 0.016s 0.49/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.49/0.74 % SZS output start Refutation 0.49/0.74 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 0.49/0.74 thf(ex1_type, type, ex1: $i > ($i > $o) > $o). 0.49/0.74 thf(singleton_type, type, singleton: $i > $o). 0.49/0.74 thf(breln_type, type, breln: $i > $i > $i > $o). 0.49/0.74 thf(lam_type, type, lam: $i > $i > ($i > $i) > $i). 0.49/0.74 thf(emptyset_type, type, emptyset: $i). 0.49/0.74 thf(kpair_type, type, kpair: $i > $i > $i). 0.49/0.74 thf(dpsetconstr_type, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 0.49/0.74 thf(cartprod_type, type, cartprod: $i > $i > $i). 0.49/0.74 thf(subset_type, type, subset: $i > $i > $o). 0.49/0.74 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 0.49/0.74 thf(lamProp_type, type, lamProp: $o). 0.49/0.74 thf(in_type, type, in: $i > $i > $o). 0.49/0.74 thf(func_type, type, func: $i > $i > $i > $o). 0.49/0.74 thf(lam, axiom,(( lam ) = 0.49/0.74 (^[A:$i,B:$i,Xf:( $i > $i )]: 0.49/0.74 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( ( Xf @ Xx ) = ( Xy ) ) ) )))). 0.49/0.74 thf('0', plain, 0.49/0.74 (( lam ) = 0.49/0.74 ( ^[A:$i,B:$i,Xf:( $i > $i )]: 0.49/0.74 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( ( Xf @ Xx ) = ( Xy ) ) ) ) )), 0.49/0.74 inference('simplify_rw_rule', [status(thm)], [lam])). 0.49/0.74 thf('1', plain, 0.49/0.74 (( lam ) = 0.49/0.74 ( ^[V_1:$i,V_2:$i,V_3:( $i > $i )]: 0.49/0.74 ( dpsetconstr @ 0.49/0.74 V_1 @ V_2 @ ( ^[V_4:$i,V_5:$i]: ( ( V_3 @ V_4 ) = ( V_5 ) ) ) ) )), 0.49/0.74 define([status(thm)])). 0.49/0.74 thf(lamProp, axiom, lamProp = 0.49/0.74 (![A:$i,B:$i,Xf:( $i > $i )]: 0.49/0.74 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( Xf @ Xx ) @ B ) ) ) => 0.49/0.74 ( func @ 0.49/0.74 A @ B @ 0.49/0.74 ( dpsetconstr @ A @ B @ ( ^[Xx:$i,Xy:$i]: ( ( Xf @ Xx ) = ( Xy ) ) ) ) ) ))). 0.49/0.74 thf('2', plain, 0.49/0.74 (( lamProp ) = 0.49/0.74 ( ![X4:$i,X6:$i,X8:( $i > $i )]: 0.49/0.74 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 0.49/0.74 ( func @ 0.49/0.74 X4 @ X6 @ 0.49/0.74 ( dpsetconstr @ 0.49/0.74 X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( ( X8 @ V_1 ) = ( V_2 ) ) ) ) ) ) )), 0.49/0.74 define([status(thm)])). 0.49/0.74 thf(func, axiom,(( func ) = 0.49/0.74 (^[A:$i,B:$i,R:$i]: 0.49/0.74 ( ( breln @ A @ B @ R ) & 0.49/0.74 ( ![Xx:$i]: 0.49/0.74 ( ( in @ Xx @ A ) => 0.49/0.74 ( ex1 @ B @ ( ^[Xy:$i]: ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) )))). 0.49/0.74 thf(breln, axiom,(( breln ) = 0.49/0.74 (^[A:$i,B:$i,C:$i]: ( subset @ C @ ( cartprod @ A @ B ) )))). 0.49/0.74 thf('3', plain, 0.49/0.74 (( breln ) = ( ^[A:$i,B:$i,C:$i]: ( subset @ C @ ( cartprod @ A @ B ) ) )), 0.49/0.74 inference('simplify_rw_rule', [status(thm)], [breln])). 0.49/0.74 thf('4', plain, 0.49/0.74 (( breln ) = 0.49/0.74 ( ^[V_1:$i,V_2:$i,V_3:$i]: ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) )), 0.49/0.74 define([status(thm)])). 0.49/0.74 thf(ex1, axiom,(( ex1 ) = 0.49/0.74 (^[A:$i,Xphi:( $i > $o )]: 0.49/0.74 ( singleton @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) )))). 0.49/0.74 thf(singleton, axiom,(( singleton ) = 0.49/0.74 (^[A:$i]: 0.49/0.74 ( ?[Xx:$i]: 0.49/0.74 ( ( ( A ) = ( setadjoin @ Xx @ emptyset ) ) & ( in @ Xx @ A ) ) )))). 0.49/0.74 thf('5', plain, 0.49/0.74 (( singleton ) = 0.49/0.74 ( ^[A:$i]: 0.49/0.74 ( ?[Xx:$i]: 0.49/0.74 ( ( ( A ) = ( setadjoin @ Xx @ emptyset ) ) & ( in @ Xx @ A ) ) ) )), 0.49/0.74 inference('simplify_rw_rule', [status(thm)], [singleton])). 0.49/0.74 thf('6', plain, 0.49/0.74 (( singleton ) = 0.49/0.74 ( ^[V_1:$i]: 0.49/0.74 ( ?[X4:$i]: 0.49/0.74 ( ( ( V_1 ) = ( setadjoin @ X4 @ emptyset ) ) & ( in @ X4 @ V_1 ) ) ) )), 0.49/0.74 define([status(thm)])). 0.49/0.74 thf('7', plain, 0.49/0.74 (( ex1 ) = 0.49/0.74 ( ^[A:$i,Xphi:( $i > $o )]: 0.49/0.74 ( singleton @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) )), 0.49/0.74 inference('simplify_rw_rule', [status(thm)], [ex1, '6'])). 0.49/0.74 thf('8', plain, 0.49/0.74 (( ex1 ) = 0.49/0.74 ( ^[V_1:$i,V_2:( $i > $o )]: 0.49/0.74 ( singleton @ ( dsetconstr @ V_1 @ ( ^[V_3:$i]: ( V_2 @ V_3 ) ) ) ) )), 0.49/0.74 define([status(thm)])). 0.49/0.74 thf('9', plain, 0.49/0.74 (( func ) = 0.49/0.74 ( ^[A:$i,B:$i,R:$i]: 0.49/0.74 ( ( breln @ A @ B @ R ) & 0.49/0.74 ( ![Xx:$i]: 0.49/0.74 ( ( in @ Xx @ A ) => 0.49/0.74 ( ex1 @ B @ ( ^[Xy:$i]: ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) ) )), 0.49/0.74 inference('simplify_rw_rule', [status(thm)], [func, '4', '8', '6'])). 0.49/0.74 thf('10', plain, 0.49/0.74 (( func ) = 0.49/0.74 ( ^[V_1:$i,V_2:$i,V_3:$i]: 0.49/0.74 ( ( breln @ V_1 @ V_2 @ V_3 ) & 0.49/0.74 ( ![X4:$i]: 0.49/0.74 ( ( in @ X4 @ V_1 ) => 0.49/0.74 ( ex1 @ V_2 @ ( ^[V_4:$i]: ( in @ ( kpair @ X4 @ V_4 ) @ V_3 ) ) ) ) ) ) )), 0.49/0.74 define([status(thm)])). 0.49/0.74 thf(lamp, conjecture, 0.49/0.74 (( lamProp ) => 0.49/0.74 ( ![A:$i,B:$i,Xf:( $i > $i )]: 0.49/0.74 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ ( Xf @ Xx ) @ B ) ) ) => 0.49/0.74 ( func @ A @ B @ ( lam @ A @ B @ ( ^[Xx:$i]: ( Xf @ Xx ) ) ) ) ) ))). 0.49/0.74 thf(zf_stmt_0, conjecture, 0.49/0.74 (( ![X4:$i,X6:$i,X8:( $i > $i )]: 0.49/0.74 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 0.49/0.74 ( ( ![X12:$i]: 0.49/0.74 ( ( in @ X12 @ X4 ) => 0.49/0.74 ( ?[X14:$i]: 0.49/0.74 ( ( in @ 0.49/0.74 X14 @ 0.49/0.74 ( dsetconstr @ 0.49/0.74 X6 @ 0.49/0.74 ( ^[V_6:$i]: 0.49/0.74 ( in @ 0.49/0.74 ( kpair @ X12 @ V_6 ) @ 0.49/0.74 ( dpsetconstr @ 0.49/0.74 X4 @ X6 @ 0.49/0.74 ( ^[V_7:$i,V_8:$i]: ( ( X8 @ V_7 ) = ( V_8 ) ) ) ) ) ) ) ) & 0.49/0.74 ( ( dsetconstr @ 0.49/0.74 X6 @ 0.49/0.74 ( ^[V_3:$i]: 0.49/0.74 ( in @ 0.49/0.74 ( kpair @ X12 @ V_3 ) @ 0.49/0.74 ( dpsetconstr @ 0.49/0.74 X4 @ X6 @ 0.49/0.74 ( ^[V_4:$i,V_5:$i]: ( ( X8 @ V_4 ) = ( V_5 ) ) ) ) ) ) ) = 0.49/0.74 ( setadjoin @ X14 @ emptyset ) ) ) ) ) ) & 0.49/0.74 ( subset @ 0.49/0.74 ( dpsetconstr @ 0.49/0.74 X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( ( X8 @ V_1 ) = ( V_2 ) ) ) ) @ 0.49/0.74 ( cartprod @ X4 @ X6 ) ) ) ) ) => 0.49/0.74 ( ![X16:$i,X18:$i,X20:( $i > $i )]: 0.49/0.74 ( ( ![X22:$i]: ( ( in @ X22 @ X16 ) => ( in @ ( X20 @ X22 ) @ X18 ) ) ) => 0.49/0.74 ( ( ![X24:$i]: 0.49/0.74 ( ( in @ X24 @ X16 ) => 0.49/0.74 ( ?[X26:$i]: 0.49/0.74 ( ( in @ 0.49/0.74 X26 @ 0.49/0.74 ( dsetconstr @ 0.49/0.74 X18 @ 0.49/0.74 ( ^[V_14:$i]: 0.49/0.74 ( in @ 0.49/0.74 ( kpair @ X24 @ V_14 ) @ 0.49/0.74 ( dpsetconstr @ 0.49/0.74 X16 @ X18 @ 0.49/0.74 ( ^[V_15:$i,V_16:$i]: 0.49/0.74 ( ( X20 @ V_15 ) = ( V_16 ) ) ) ) ) ) ) ) & 0.49/0.74 ( ( dsetconstr @ 0.49/0.74 X18 @ 0.49/0.74 ( ^[V_11:$i]: 0.49/0.74 ( in @ 0.49/0.74 ( kpair @ X24 @ V_11 ) @ 0.49/0.74 ( dpsetconstr @ 0.49/0.74 X16 @ X18 @ 0.49/0.74 ( ^[V_12:$i,V_13:$i]: 0.49/0.74 ( ( X20 @ V_12 ) = ( V_13 ) ) ) ) ) ) ) = 0.49/0.74 ( setadjoin @ X26 @ emptyset ) ) ) ) ) ) & 0.49/0.74 ( subset @ 0.49/0.74 ( dpsetconstr @ 0.49/0.74 X16 @ X18 @ ( ^[V_9:$i,V_10:$i]: ( ( X20 @ V_9 ) = ( V_10 ) ) ) ) @ 0.49/0.74 ( cartprod @ X16 @ X18 ) ) ) ) ))). 0.49/0.74 thf(zf_stmt_1, negated_conjecture, 0.49/0.74 (~( ( ![X4:$i,X6:$i,X8:( $i > $i )]: 0.49/0.74 ( ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( in @ ( X8 @ X10 ) @ X6 ) ) ) => 0.49/0.74 ( ( ![X12:$i]: 0.49/0.74 ( ( in @ X12 @ X4 ) => 0.49/0.74 ( ?[X14:$i]: 0.49/0.74 ( ( in @ 0.49/0.74 X14 @ 0.49/0.74 ( dsetconstr @ 0.49/0.74 X6 @ 0.49/0.74 ( ^[V_6:$i]: 0.49/0.74 ( in @ 0.49/0.74 ( kpair @ X12 @ V_6 ) @ 0.49/0.74 ( dpsetconstr @ 0.49/0.74 X4 @ X6 @ 0.49/0.74 ( ^[V_7:$i,V_8:$i]: ( ( X8 @ V_7 ) = ( V_8 ) ) ) ) ) ) ) ) & 0.49/0.74 ( ( dsetconstr @ 0.49/0.74 X6 @ 0.49/0.74 ( ^[V_3:$i]: 0.49/0.74 ( in @ 0.49/0.74 ( kpair @ X12 @ V_3 ) @ 0.49/0.74 ( dpsetconstr @ 0.49/0.74 X4 @ X6 @ 0.49/0.74 ( ^[V_4:$i,V_5:$i]: ( ( X8 @ V_4 ) = ( V_5 ) ) ) ) ) ) ) = 0.49/0.74 ( setadjoin @ X14 @ emptyset ) ) ) ) ) ) & 0.49/0.74 ( subset @ 0.49/0.74 ( dpsetconstr @ 0.49/0.74 X4 @ X6 @ ( ^[V_1:$i,V_2:$i]: ( ( X8 @ V_1 ) = ( V_2 ) ) ) ) @ 0.49/0.74 ( cartprod @ X4 @ X6 ) ) ) ) ) => 0.49/0.74 ( ![X16:$i,X18:$i,X20:( $i > $i )]: 0.49/0.74 ( ( ![X22:$i]: ( ( in @ X22 @ X16 ) => ( in @ ( X20 @ X22 ) @ X18 ) ) ) => 0.49/0.74 ( ( ![X24:$i]: 0.49/0.74 ( ( in @ X24 @ X16 ) => 0.49/0.74 ( ?[X26:$i]: 0.49/0.74 ( ( in @ 0.49/0.74 X26 @ 0.49/0.74 ( dsetconstr @ 0.49/0.74 X18 @ 0.49/0.74 ( ^[V_14:$i]: 0.49/0.74 ( in @ 0.49/0.74 ( kpair @ X24 @ V_14 ) @ 0.49/0.74 ( dpsetconstr @ 0.49/0.74 X16 @ X18 @ 0.49/0.74 ( ^[V_15:$i,V_16:$i]: 0.49/0.74 ( ( X20 @ V_15 ) = ( V_16 ) ) ) ) ) ) ) ) & 0.49/0.74 ( ( dsetconstr @ 0.49/0.74 X18 @ 0.49/0.74 ( ^[V_11:$i]: 0.49/0.74 ( in @ 0.49/0.74 ( kpair @ X24 @ V_11 ) @ 0.49/0.74 ( dpsetconstr @ 0.49/0.74 X16 @ X18 @ 0.49/0.74 ( ^[V_12:$i,V_13:$i]: 0.49/0.74 ( ( X20 @ V_12 ) = ( V_13 ) ) ) ) ) ) ) = 0.49/0.74 ( setadjoin @ X26 @ emptyset ) ) ) ) ) ) & 0.49/0.74 ( subset @ 0.49/0.74 ( dpsetconstr @ 0.49/0.74 X16 @ X18 @ 0.49/0.74 ( ^[V_9:$i,V_10:$i]: ( ( X20 @ V_9 ) = ( V_10 ) ) ) ) @ 0.49/0.74 ( cartprod @ X16 @ X18 ) ) ) ) ) )), 0.49/0.74 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 0.49/0.74 thf(zip_derived_cl0, plain, 0.49/0.74 (~ (((((!!) @ (^[Y0 : $i]: 0.49/0.74 (((!!) @ (^[Y1 : $i]: 0.49/0.74 (((!!) @ (^[Y2 : $i > $i]: 0.49/0.74 (((((!!) @ (^[Y3 : $i]: 0.49/0.74 (((in @ Y3 @ 0.49/0.74 Y0) => (in @ 0.49/0.74 (Y2 @ Y3) @ Y1)))))) => 0.49/0.74 (((((!!) @ (^[Y3 : $i]: 0.49/0.74 (((in @ Y3 @ 0.49/0.74 Y0) => 0.49/0.74 (((??) @ ( 0.49/0.74 ^[Y4 : $i]: 0.49/0.74 (( 0.49/0.74 (in @ 0.49/0.74 Y4 @ 0.49/0.74 ( 0.49/0.74 dsetconstr @ 0.49/0.74 Y1 @ 0.49/0.74 ( 0.49/0.74 ^[Y5 : $i]: 0.49/0.74 (in @ 0.49/0.74 (kpair @ 0.49/0.74 Y3 @ Y5) @ 0.49/0.74 (dpsetconstr @ 0.49/0.74 Y0 @ 0.49/0.74 Y1 @ 0.49/0.74 (^[Y6 : $i, 0.49/0.74 Y7 : $i]: 0.49/0.74 (( 0.49/0.74 (Y2 @ 0.49/0.74 Y6) = 0.49/0.74 (Y7))))))))) & 0.49/0.74 (( 0.49/0.74 (dsetconstr @ 0.49/0.74 Y1 @ 0.49/0.74 ( 0.49/0.74 ^[Y5 : $i]: 0.49/0.74 (in @ 0.49/0.74 (kpair @ 0.49/0.74 Y3 @ Y5) @ 0.49/0.74 (dpsetconstr @ 0.49/0.74 Y0 @ 0.49/0.74 Y1 @ 0.49/0.74 (^[Y6 : $i, 0.49/0.74 Y7 : $i]: 0.49/0.74 (( 0.49/0.74 (Y2 @ 0.49/0.74 Y6) = 0.49/0.74 (Y7)))))))) = 0.49/0.74 (setadjoin @ 0.49/0.74 Y4 @ 0.49/0.74 emptyset))))))))))))) & 0.49/0.74 (subset @ 0.49/0.74 (dpsetconstr @ Y0 @ Y1 @ 0.49/0.74 (^[Y3 : $i,Y4 : $i]: 0.49/0.74 (((Y2 @ Y3) = (Y4))))) @ 0.49/0.74 (cartprod @ Y0 @ Y1))))))))))))))) => 0.49/0.74 (((!!) @ (^[Y0 : $i]: 0.49/0.74 (((!!) @ (^[Y1 : $i]: 0.49/0.74 (((!!) @ (^[Y2 : $i > $i]: 0.49/0.74 (((((!!) @ (^[Y3 : $i]: 0.49/0.74 (((in @ Y3 @ 0.49/0.74 Y0) => (in @ 0.49/0.74 (Y2 @ Y3) @ Y1)))))) => 0.49/0.74 (((((!!) @ (^[Y3 : $i]: 0.49/0.74 (((in @ Y3 @ 0.49/0.74 Y0) => 0.49/0.74 (((??) @ ( 0.49/0.74 ^[Y4 : $i]: 0.49/0.74 (( 0.49/0.74 (in @ 0.49/0.74 Y4 @ 0.49/0.74 ( 0.49/0.74 dsetconstr @ 0.49/0.74 Y1 @ 0.49/0.74 ( 0.49/0.74 ^[Y5 : $i]: 0.49/0.74 (in @ 0.49/0.74 (kpair @ 0.49/0.74 Y3 @ Y5) @ 0.49/0.74 (dpsetconstr @ 0.49/0.74 Y0 @ 0.49/0.74 Y1 @ 0.49/0.74 (^[Y6 : $i, 0.49/0.74 Y7 : $i]: 0.49/0.74 (( 0.49/0.74 (Y2 @ 0.49/0.74 Y6) = 0.49/0.74 (Y7))))))))) & 0.49/0.74 (( 0.49/0.74 (dsetconstr @ 0.49/0.74 Y1 @ 0.49/0.74 ( 0.49/0.74 ^[Y5 : $i]: 0.49/0.74 (in @ 0.49/0.74 (kpair @ 0.49/0.74 Y3 @ Y5) @ 0.49/0.74 (dpsetconstr @ 0.49/0.74 Y0 @ 0.49/0.74 Y1 @ 0.49/0.74 (^[Y6 : $i, 0.49/0.74 Y7 : $i]: 0.49/0.74 (( 0.49/0.74 (Y2 @ 0.49/0.74 Y6) = 0.49/0.74 (Y7)))))))) = 0.49/0.74 (setadjoin @ 0.49/0.74 Y4 @ 0.49/0.74 emptyset))))))))))))) & 0.49/0.74 (subset @ 0.49/0.74 (dpsetconstr @ Y0 @ Y1 @ 0.49/0.74 (^[Y3 : $i,Y4 : $i]: 0.49/0.74 (((Y2 @ Y3) = (Y4))))) @ 0.49/0.74 (cartprod @ Y0 @ Y1)))))))))))))))))), 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_1])). 0.49/0.74 thf(zip_derived_cl1, plain, 0.49/0.74 (~ (((((!!) @ (^[Y0 : $i]: 0.49/0.74 (((!!) @ (^[Y1 : $i]: 0.49/0.74 (((!!) @ (^[Y2 : $i > $i]: 0.49/0.74 (((((!!) @ (^[Y3 : $i]: 0.49/0.74 (((in @ Y3 @ 0.49/0.74 Y0) => (in @ 0.49/0.74 (Y2 @ Y3) @ Y1)))))) => 0.49/0.74 (((((!!) @ (^[Y3 : $i]: 0.49/0.74 (((in @ Y3 @ 0.49/0.74 Y0) => 0.49/0.74 (((??) @ ( 0.49/0.74 ^[Y4 : $i]: 0.49/0.74 (( 0.49/0.74 (in @ 0.49/0.74 Y4 @ 0.49/0.74 ( 0.49/0.74 dsetconstr @ 0.49/0.74 Y1 @ 0.49/0.74 ( 0.49/0.74 ^[Y5 : $i]: 0.49/0.74 (in @ 0.49/0.74 (kpair @ 0.49/0.74 Y3 @ Y5) @ 0.49/0.74 (dpsetconstr @ 0.49/0.74 Y0 @ 0.49/0.74 Y1 @ 0.49/0.74 (^[Y6 : $i]: 0.49/0.74 (( 0.49/0.74 ($i) = 0.49/0.74 (Y2 @ Y6))))))))) & 0.49/0.74 (( 0.49/0.74 (dsetconstr @ 0.49/0.74 Y1 @ 0.49/0.74 ( 0.49/0.74 ^[Y5 : $i]: 0.49/0.74 (in @ 0.49/0.74 (kpair @ 0.49/0.74 Y3 @ Y5) @ 0.49/0.74 (dpsetconstr @ 0.49/0.74 Y0 @ 0.49/0.74 Y1 @ 0.49/0.74 (^[Y6 : $i]: 0.49/0.74 (( 0.49/0.74 ($i) = 0.49/0.74 (Y2 @ Y6)))))))) = 0.49/0.74 (setadjoin @ 0.49/0.74 Y4 @ 0.49/0.74 emptyset))))))))))))) & 0.49/0.74 (subset @ 0.49/0.74 (dpsetconstr @ Y0 @ Y1 @ 0.49/0.74 (^[Y3 : $i]: 0.49/0.74 ((($i) = (Y2 @ Y3))))) @ 0.49/0.74 (cartprod @ Y0 @ Y1))))))))))))))) => 0.49/0.74 (((!!) @ (^[Y0 : $i]: 0.49/0.74 (((!!) @ (^[Y1 : $i]: 0.49/0.74 (((!!) @ (^[Y2 : $i > $i]: 0.49/0.74 (((((!!) @ (^[Y3 : $i]: 0.49/0.74 (((in @ Y3 @ 0.49/0.74 Y0) => (in @ 0.49/0.74 (Y2 @ Y3) @ Y1)))))) => 0.49/0.74 (((((!!) @ (^[Y3 : $i]: 0.49/0.74 (((in @ Y3 @ 0.49/0.74 Y0) => 0.49/0.74 (((??) @ ( 0.49/0.74 ^[Y4 : $i]: 0.49/0.74 (( 0.49/0.74 (in @ 0.49/0.74 Y4 @ 0.49/0.74 ( 0.49/0.74 dsetconstr @ 0.49/0.74 Y1 @ 0.49/0.74 ( 0.49/0.74 ^[Y5 : $i]: 0.49/0.74 (in @ 0.49/0.74 (kpair @ 0.49/0.74 Y3 @ Y5) @ 0.49/0.74 (dpsetconstr @ 0.49/0.74 Y0 @ 0.49/0.74 Y1 @ 0.49/0.74 (^[Y6 : $i]: 0.49/0.74 (( 0.49/0.74 ($i) = 0.49/0.74 (Y2 @ Y6))))))))) & 0.49/0.74 (( 0.49/0.74 (dsetconstr @ 0.49/0.74 Y1 @ 0.49/0.74 ( 0.49/0.74 ^[Y5 : $i]: 0.49/0.74 (in @ 0.49/0.74 (kpair @ 0.49/0.74 Y3 @ Y5) @ 0.49/0.74 (dpsetconstr @ 0.49/0.74 Y0 @ 0.49/0.74 Y1 @ 0.49/0.74 (^[Y6 : $i]: 0.49/0.74 (( 0.49/0.74 ($i) = 0.49/0.74 (Y2 @ Y6)))))))) = 0.49/0.74 (setadjoin @ 0.49/0.74 Y4 @ 0.49/0.74 emptyset))))))))))))) & 0.49/0.74 (subset @ 0.49/0.74 (dpsetconstr @ Y0 @ Y1 @ 0.49/0.74 (^[Y3 : $i]: 0.49/0.74 ((($i) = (Y2 @ Y3))))) @ 0.49/0.74 (cartprod @ Y0 @ Y1)))))))))))))))))), 0.49/0.74 inference('ho_norm', [status(thm)], [zip_derived_cl0])). 0.49/0.74 thf(zip_derived_cl2, plain, ($false), 0.49/0.74 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl1])). 0.49/0.74 0.49/0.74 % SZS output end Refutation 0.49/0.74 0.49/0.74 0.49/0.74 % Terminating... 0.52/0.80 % Runner terminated. 0.52/0.81 % Zipperpin 1.5 exiting 0.52/0.81 EOF