0.14/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.14/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uoV3wcTMvl true 0.17/0.39 % Computer : n025.cluster.edu 0.17/0.39 % Model : x86_64 x86_64 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.39 % Memory : 8042.1875MB 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.39 % CPULimit : 1440 0.17/0.39 % WCLimit : 180 0.17/0.39 % DateTime : Thu Jul 4 10:50:39 EDT 2024 0.17/0.39 % CPUTime : 0.17/0.39 % Running portfolio for 1440 s 0.17/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.39 % Number of cores: 8 0.17/0.39 % Python version: Python 3.6.8 0.17/0.40 % Running in HO mode 0.51/0.73 % Total configuration time : 828 0.51/0.73 % Estimated wc time : 1656 0.51/0.73 % Estimated cpu time (8 cpus) : 207.0 0.51/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.51/0.81 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.51/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.51/0.81 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.51/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.51/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.51/0.83 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.51/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 235.64/30.65 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 316.80/41.00 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 472.80/60.85 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s 553.28/71.20 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s 627.56/80.63 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s 627.56/80.66 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s 627.92/80.85 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s 705.06/90.66 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s 705.70/90.78 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s 755.28/97.01 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s 787.39/101.09 % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 16s 808.88/103.86 % Solved by lams/33_shallow_sine.sh. 808.88/103.86 % done 2768 iterations in 23.181s 808.88/103.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 808.88/103.86 % SZS output start Refutation 808.88/103.86 thf(dsetconstrI_type, type, dsetconstrI: $o). 808.88/103.86 thf(reflwellordering_type, type, reflwellordering: $i > $i > $o). 808.88/103.86 thf(ex1_type, type, ex1: $i > ($i > $o) > $o). 808.88/103.86 thf(sk__26_type, type, sk__26: $i > ($i > $o) > $i > $i). 808.88/103.86 thf(in_type, type, in: $i > $i > $o). 808.88/103.86 thf(sk__34_type, type, sk__34: $i > $i > $i). 808.88/103.86 thf(sk__29_type, type, sk__29: $i > $i > $o). 808.88/103.86 thf(powerset_type, type, powerset: $i > $i). 808.88/103.86 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 808.88/103.86 thf(nonemptyI_type, type, nonemptyI: $o). 808.88/103.86 thf(nonempty_type, type, nonempty: $i > $o). 808.88/103.86 thf(ex1I_type, type, ex1I: $o). 808.88/103.86 thf(sk__31_type, type, sk__31: $i > $i). 808.88/103.86 thf(kpair_type, type, kpair: $i > $i > $i). 808.88/103.86 thf(refllinearorder_type, type, refllinearorder: $i > $i > $o). 808.88/103.86 thf(sk__27_type, type, sk__27: $i). 808.88/103.86 thf(sk__28_type, type, sk__28: $i). 808.88/103.86 thf(sk__32_type, type, sk__32: $i). 808.88/103.86 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 808.88/103.86 thf(reflexive_type, type, reflexive: $i > $i > $o). 808.88/103.86 thf(transitive_type, type, transitive: $i > $i > $o). 808.88/103.86 thf(powersetI_type, type, powersetI: $o). 808.88/103.86 thf(sk__33_type, type, sk__33: $i > $i). 808.88/103.86 thf(emptyset_type, type, emptyset: $i). 808.88/103.86 thf(antisymmetric_type, type, antisymmetric: $i > $i > $o). 808.88/103.86 thf('#l_lift2316_type', type, '#l_lift2316': $i > $o). 808.88/103.86 thf(sk__30_type, type, sk__30: $i). 808.88/103.86 thf(breln1Set_type, type, breln1Set: $i > $i). 808.88/103.86 thf(dsetconstrER_type, type, dsetconstrER: $o). 808.88/103.86 thf(singleton_type, type, singleton: $i > $o). 808.88/103.86 thf(reflwellordering, axiom,(( reflwellordering ) = 808.88/103.86 (^[A:$i,R:$i]: 808.88/103.86 ( ( refllinearorder @ A @ R ) & 808.88/103.86 ( ![X:$i]: 808.88/103.86 ( ( in @ X @ ( powerset @ A ) ) => 808.88/103.86 ( ( nonempty @ X ) => 808.88/103.86 ( ?[Xx:$i]: 808.88/103.86 ( ( ![Xy:$i]: 808.88/103.86 ( ( in @ Xy @ X ) => ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) & 808.88/103.86 ( in @ Xx @ X ) ) ) ) ) ) )))). 808.88/103.86 thf(refllinearorder, axiom,(( refllinearorder ) = 808.88/103.86 (^[A:$i,R:$i]: 808.88/103.86 ( ( reflexive @ A @ R ) & ( transitive @ A @ R ) & 808.88/103.86 ( antisymmetric @ A @ R ) & 808.88/103.86 ( ![Xx:$i]: 808.88/103.86 ( ( in @ Xx @ A ) => 808.88/103.86 ( ![Xy:$i]: 808.88/103.86 ( ( in @ Xy @ A ) => 808.88/103.86 ( ( in @ ( kpair @ Xx @ Xy ) @ R ) | 808.88/103.86 ( in @ ( kpair @ Xy @ Xx ) @ R ) ) ) ) ) ) )))). 808.88/103.86 thf(antisymmetric, axiom,(( antisymmetric ) = 808.88/103.86 (^[A:$i,R:$i]: 808.88/103.86 ( ![Xx:$i]: 808.88/103.86 ( ( in @ Xx @ A ) => 808.88/103.86 ( ![Xy:$i]: 808.88/103.86 ( ( in @ Xy @ A ) => 808.88/103.86 ( ( ( in @ ( kpair @ Xx @ Xy ) @ R ) & 808.88/103.86 ( in @ ( kpair @ Xy @ Xx ) @ R ) ) => 808.88/103.86 ( ( Xx ) = ( Xy ) ) ) ) ) ) )))). 808.88/103.86 thf('0', plain, 808.88/103.86 (( antisymmetric ) = 808.88/103.86 ( ^[A:$i,R:$i]: 808.88/103.86 ( ![Xx:$i]: 808.88/103.86 ( ( in @ Xx @ A ) => 808.88/103.86 ( ![Xy:$i]: 808.88/103.86 ( ( in @ Xy @ A ) => 808.88/103.86 ( ( ( in @ ( kpair @ Xx @ Xy ) @ R ) & 808.88/103.86 ( in @ ( kpair @ Xy @ Xx ) @ R ) ) => 808.88/103.86 ( ( Xx ) = ( Xy ) ) ) ) ) ) ) )), 808.88/103.86 inference('simplify_rw_rule', [status(thm)], [antisymmetric])). 808.88/103.86 thf('1', plain, 808.88/103.86 (( antisymmetric ) = 808.88/103.86 ( ^[V_1:$i,V_2:$i]: 808.88/103.86 ( ![X4:$i]: 808.88/103.86 ( ( in @ X4 @ V_1 ) => 808.88/103.86 ( ![X6:$i]: 808.88/103.86 ( ( in @ X6 @ V_1 ) => 808.88/103.86 ( ( ( in @ ( kpair @ X4 @ X6 ) @ V_2 ) & 808.88/103.86 ( in @ ( kpair @ X6 @ X4 ) @ V_2 ) ) => 808.88/103.86 ( ( X4 ) = ( X6 ) ) ) ) ) ) ) )), 808.88/103.86 define([status(thm)])). 808.88/103.86 thf('2', plain, 808.88/103.86 (( refllinearorder ) = 808.88/103.86 ( ^[A:$i,R:$i]: 808.88/103.86 ( ( reflexive @ A @ R ) & ( transitive @ A @ R ) & 808.88/103.86 ( antisymmetric @ A @ R ) & 808.88/103.86 ( ![Xx:$i]: 808.88/103.86 ( ( in @ Xx @ A ) => 808.88/103.86 ( ![Xy:$i]: 808.88/103.86 ( ( in @ Xy @ A ) => 808.88/103.86 ( ( in @ ( kpair @ Xx @ Xy ) @ R ) | 808.88/103.86 ( in @ ( kpair @ Xy @ Xx ) @ R ) ) ) ) ) ) ) )), 808.88/103.86 inference('simplify_rw_rule', [status(thm)], [refllinearorder, '1'])). 808.88/103.86 thf('3', plain, 808.88/103.86 (( refllinearorder ) = 808.88/103.86 ( ^[V_1:$i,V_2:$i]: 808.88/103.86 ( ( reflexive @ V_1 @ V_2 ) & ( transitive @ V_1 @ V_2 ) & 808.88/103.86 ( antisymmetric @ V_1 @ V_2 ) & 808.88/103.86 ( ![X4:$i]: 808.88/103.86 ( ( in @ X4 @ V_1 ) => 808.88/103.86 ( ![X6:$i]: 808.88/103.86 ( ( in @ X6 @ V_1 ) => 808.88/103.86 ( ( in @ ( kpair @ X4 @ X6 ) @ V_2 ) | 808.88/103.86 ( in @ ( kpair @ X6 @ X4 ) @ V_2 ) ) ) ) ) ) ) )), 808.88/103.86 define([status(thm)])). 808.88/103.86 thf(nonempty, axiom,(( nonempty ) = (^[Xx:$i]: ( ( Xx ) != ( emptyset ) )))). 808.88/103.86 thf('4', plain, (( nonempty ) = ( ^[Xx:$i]: ( ( Xx ) != ( emptyset ) ) )), 808.88/103.86 inference('simplify_rw_rule', [status(thm)], [nonempty])). 808.88/103.86 thf('5', plain, (( nonempty ) = ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) )), 808.88/103.86 define([status(thm)])). 808.88/103.86 thf('6', plain, 808.88/103.86 (( reflwellordering ) = 808.88/103.86 ( ^[A:$i,R:$i]: 808.88/103.86 ( ( refllinearorder @ A @ R ) & 808.88/103.86 ( ![X:$i]: 808.88/103.86 ( ( in @ X @ ( powerset @ A ) ) => 808.88/103.86 ( ( nonempty @ X ) => 808.88/103.86 ( ?[Xx:$i]: 808.88/103.86 ( ( ![Xy:$i]: 808.88/103.86 ( ( in @ Xy @ X ) => ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) & 808.88/103.86 ( in @ Xx @ X ) ) ) ) ) ) ) )), 808.88/103.86 inference('simplify_rw_rule', [status(thm)], 808.88/103.86 [reflwellordering, '3', '1', '5'])). 808.88/103.86 thf('7', plain, 808.88/103.86 (( reflwellordering ) = 808.88/103.86 ( ^[V_1:$i,V_2:$i]: 808.88/103.86 ( ( refllinearorder @ V_1 @ V_2 ) & 808.88/103.86 ( ![X4:$i]: 808.88/103.86 ( ( in @ X4 @ ( powerset @ V_1 ) ) => 808.88/103.86 ( ( nonempty @ X4 ) => 808.88/103.86 ( ?[X6:$i]: 808.88/103.86 ( ( ![X8:$i]: 808.88/103.86 ( ( in @ X8 @ X4 ) => ( in @ ( kpair @ X6 @ X8 ) @ V_2 ) ) ) & 808.88/103.86 ( in @ X6 @ X4 ) ) ) ) ) ) ) )), 808.88/103.86 define([status(thm)])). 808.88/103.86 thf(ex1I, axiom, ex1I = 808.88/103.86 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 808.88/103.86 ( ( in @ Xx @ A ) => 808.88/103.86 ( ( Xphi @ Xx ) => 808.88/103.86 ( ( ![Xy:$i]: 808.88/103.86 ( ( in @ Xy @ A ) => ( ( Xphi @ Xy ) => ( ( Xy ) = ( Xx ) ) ) ) ) => 808.88/103.86 ( ex1 @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 808.88/103.86 thf('8', plain, 808.88/103.86 (( ex1I ) = 808.88/103.86 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 808.88/103.86 ( ( in @ X8 @ X4 ) => 808.88/103.86 ( ( X6 @ X8 ) => 808.88/103.86 ( ( ![X10:$i]: 808.88/103.86 ( ( in @ X10 @ X4 ) => 808.88/103.86 ( ( X6 @ X10 ) => ( ( X10 ) = ( X8 ) ) ) ) ) => 808.88/103.86 ( ex1 @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 808.88/103.86 define([status(thm)])). 808.88/103.86 thf(ex1, axiom,(( ex1 ) = 808.88/103.86 (^[A:$i,Xphi:( $i > $o )]: 808.88/103.86 ( singleton @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) )))). 808.88/103.86 thf('9', plain, 808.88/103.86 (( ex1 ) = 808.88/103.86 ( ^[A:$i,Xphi:( $i > $o )]: 808.88/103.86 ( singleton @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) )), 808.88/103.86 inference('simplify_rw_rule', [status(thm)], [ex1])). 808.88/103.86 thf('10', plain, 808.88/103.86 (( ex1 ) = 808.88/103.86 ( ^[V_1:$i,V_2:( $i > $o )]: 808.88/103.86 ( singleton @ ( dsetconstr @ V_1 @ ( ^[V_3:$i]: ( V_2 @ V_3 ) ) ) ) )), 808.88/103.86 define([status(thm)])). 808.88/103.86 thf(powersetI, axiom, powersetI = 808.88/103.86 (![A:$i,B:$i]: 808.88/103.86 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 808.88/103.86 ( in @ B @ ( powerset @ A ) ) ))). 808.88/103.86 thf('11', plain, 808.88/103.86 (( powersetI ) = 808.88/103.86 ( ![X4:$i,X6:$i]: 808.88/103.86 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 808.88/103.86 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 808.88/103.86 define([status(thm)])). 808.88/103.86 thf(nonemptyI, axiom, nonemptyI = 808.88/103.86 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 808.88/103.86 ( ( in @ Xx @ A ) => 808.88/103.86 ( ( Xphi @ Xx ) => 808.88/103.86 ( nonempty @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 808.88/103.86 thf('12', plain, 808.88/103.86 (( nonemptyI ) = 808.88/103.86 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 808.88/103.86 ( ( in @ X8 @ X4 ) => 808.88/103.86 ( ( X6 @ X8 ) => 808.88/103.86 ( nonempty @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 808.88/103.86 define([status(thm)])). 808.88/103.86 thf(dsetconstrER, axiom, dsetconstrER = 808.88/103.86 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 808.88/103.86 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 808.88/103.86 ( Xphi @ Xx ) ))). 808.88/103.86 thf('13', plain, 808.88/103.86 (( dsetconstrER ) = 808.88/103.86 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 808.88/103.86 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 808.88/103.86 ( X6 @ X8 ) ) )), 808.88/103.86 define([status(thm)])). 808.88/103.86 thf(dsetconstrEL, axiom, dsetconstrEL = 808.88/103.86 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 808.88/103.86 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 808.88/103.86 ( in @ Xx @ A ) ))). 808.88/103.86 thf('14', plain, 808.88/103.86 (( dsetconstrEL ) = 808.88/103.86 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 808.88/103.86 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 808.88/103.86 ( in @ X8 @ X4 ) ) )), 808.88/103.86 define([status(thm)])). 808.88/103.86 thf(dsetconstrI, axiom, dsetconstrI = 808.88/103.86 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 808.88/103.86 ( ( in @ Xx @ A ) => 808.88/103.86 ( ( Xphi @ Xx ) => 808.88/103.86 ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 808.88/103.86 thf('15', plain, 808.88/103.86 (( dsetconstrI ) = 808.88/103.86 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 808.88/103.86 ( ( in @ X8 @ X4 ) => 808.88/103.86 ( ( X6 @ X8 ) => 808.88/103.86 ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 808.88/103.86 define([status(thm)])). 808.88/103.86 thf(choice2fnsingleton, conjecture, 808.88/103.86 (( dsetconstrI ) => 808.88/103.86 ( ( dsetconstrEL ) => 808.88/103.86 ( ( dsetconstrER ) => 808.88/103.86 ( ( nonemptyI ) => 808.88/103.86 ( ( powersetI ) => 808.88/103.86 ( ( ex1I ) => 808.88/103.86 ( ![A:$i,B:$i,Xphi:( $i > $i > $o )]: 808.88/103.86 ( ( ![Xx:$i]: 808.88/103.86 ( ( in @ Xx @ A ) => 808.88/103.86 ( ?[Xy:$i]: ( ( Xphi @ Xx @ Xy ) & ( in @ Xy @ B ) ) ) ) ) => 808.88/103.86 ( ![R:$i]: 808.88/103.86 ( ( in @ R @ ( breln1Set @ B ) ) => 808.88/103.86 ( ( reflwellordering @ B @ R ) => 808.88/103.86 ( ![Xx:$i]: 808.88/103.86 ( ( in @ Xx @ A ) => 808.88/103.86 ( singleton @ 808.88/103.86 ( dsetconstr @ 808.88/103.86 B @ 808.88/103.86 ( ^[Xy:$i]: 808.88/103.86 ( ( Xphi @ Xx @ Xy ) & 808.88/103.86 ( ![Xz:$i]: 808.88/103.86 ( ( in @ Xz @ B ) => 808.88/103.86 ( ( Xphi @ Xx @ Xz ) => 808.88/103.86 ( in @ ( kpair @ Xy @ Xz ) @ R ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 808.88/103.86 thf(zf_stmt_0, conjecture, 808.88/103.86 (( ![X4:$i,X6:( $i > $o ),X8:$i]: 808.88/103.86 ( ( in @ X8 @ X4 ) => 808.88/103.86 ( ( X6 @ X8 ) => 808.88/103.86 ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) ) => 808.88/103.86 ( ( ![X10:$i,X12:( $i > $o ),X14:$i]: 808.88/103.86 ( ( in @ X14 @ ( dsetconstr @ X10 @ ( ^[V_2:$i]: ( X12 @ V_2 ) ) ) ) => 808.88/103.86 ( in @ X14 @ X10 ) ) ) => 808.88/103.86 ( ( ![X16:$i,X18:( $i > $o ),X20:$i]: 808.88/103.86 ( ( in @ X20 @ ( dsetconstr @ X16 @ ( ^[V_3:$i]: ( X18 @ V_3 ) ) ) ) => 808.88/103.86 ( X18 @ X20 ) ) ) => 808.88/103.86 ( ( ![X22:$i,X24:( $i > $o ),X26:$i]: 808.88/103.86 ( ( in @ X26 @ X22 ) => 808.88/103.86 ( ( X24 @ X26 ) => 808.88/103.86 ( ( dsetconstr @ X22 @ ( ^[V_4:$i]: ( X24 @ V_4 ) ) ) != 808.88/103.86 ( emptyset ) ) ) ) ) => 808.88/103.86 ( ( ![X28:$i,X30:$i]: 808.88/103.86 ( ( ![X32:$i]: ( ( in @ X32 @ X30 ) => ( in @ X32 @ X28 ) ) ) => 808.88/103.86 ( in @ X30 @ ( powerset @ X28 ) ) ) ) => 808.88/103.86 ( ( ![X34:$i,X36:( $i > $o ),X38:$i]: 808.88/103.86 ( ( in @ X38 @ X34 ) => 808.88/103.86 ( ( X36 @ X38 ) => 808.88/103.86 ( ( ![X40:$i]: 808.88/103.86 ( ( in @ X40 @ X34 ) => 808.88/103.86 ( ( X36 @ X40 ) => ( ( X40 ) = ( X38 ) ) ) ) ) => 808.88/103.86 ( singleton @ 808.88/103.86 ( dsetconstr @ X34 @ ( ^[V_5:$i]: ( X36 @ V_5 ) ) ) ) ) ) ) ) => 808.88/103.86 ( ![X42:$i,X44:$i,X46:( $i > $i > $o )]: 808.88/103.86 ( ( ![X48:$i]: 808.88/103.86 ( ( in @ X48 @ X42 ) => 808.88/103.86 ( ?[X50:$i]: 808.88/103.86 ( ( X46 @ X48 @ X50 ) & ( in @ X50 @ X44 ) ) ) ) ) => 808.88/103.86 ( ![X52:$i]: 808.88/103.86 ( ( in @ X52 @ ( breln1Set @ X44 ) ) => 808.88/103.86 ( ( ( reflexive @ X44 @ X52 ) & 808.88/103.86 ( transitive @ X44 @ X52 ) & 808.88/103.86 ( ![X54:$i]: 808.88/103.86 ( ( in @ X54 @ X44 ) => 808.88/103.86 ( ![X56:$i]: 808.88/103.86 ( ( in @ X56 @ X44 ) => 808.88/103.86 ( ( ( in @ ( kpair @ X54 @ X56 ) @ X52 ) & 808.88/103.86 ( in @ ( kpair @ X56 @ X54 ) @ X52 ) ) => 808.88/103.86 ( ( X54 ) = ( X56 ) ) ) ) ) ) ) & 808.88/103.86 ( ![X58:$i]: 808.88/103.86 ( ( in @ X58 @ X44 ) => 808.88/103.86 ( ![X60:$i]: 808.88/103.86 ( ( in @ X60 @ X44 ) => 808.88/103.86 ( ( in @ ( kpair @ X58 @ X60 ) @ X52 ) | 808.88/103.86 ( in @ ( kpair @ X60 @ X58 ) @ X52 ) ) ) ) ) ) & 808.88/103.86 ( ![X62:$i]: 808.88/103.86 ( ( in @ X62 @ ( powerset @ X44 ) ) => 808.88/103.86 ( ( ( X62 ) != ( emptyset ) ) => 808.88/103.86 ( ?[X64:$i]: 808.88/103.86 ( ( ![X66:$i]: 808.88/103.86 ( ( in @ X66 @ X62 ) => 808.88/103.86 ( in @ ( kpair @ X64 @ X66 ) @ X52 ) ) ) & 808.88/103.86 ( in @ X64 @ X62 ) ) ) ) ) ) ) => 808.88/103.86 ( ![X68:$i]: 808.88/103.86 ( ( in @ X68 @ X42 ) => 808.88/103.86 ( singleton @ 808.88/103.86 ( dsetconstr @ 808.88/103.86 X44 @ 808.88/103.86 ( ^[V_6:$i]: 808.88/103.86 ( ( ![X70:$i]: 808.88/103.86 ( ( in @ X70 @ X44 ) => 808.88/103.86 ( ( X46 @ X68 @ X70 ) => 808.88/103.86 ( in @ ( kpair @ V_6 @ X70 ) @ X52 ) ) ) ) & 808.88/103.86 ( X46 @ X68 @ V_6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 808.88/103.86 thf(zf_stmt_1, negated_conjecture, 808.88/103.86 (~( ( ![X4:$i,X6:( $i > $o ),X8:$i]: 808.88/103.86 ( ( in @ X8 @ X4 ) => 808.88/103.86 ( ( X6 @ X8 ) => 808.88/103.86 ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) ) => 808.88/103.86 ( ( ![X10:$i,X12:( $i > $o ),X14:$i]: 808.88/103.86 ( ( in @ X14 @ ( dsetconstr @ X10 @ ( ^[V_2:$i]: ( X12 @ V_2 ) ) ) ) => 808.88/103.86 ( in @ X14 @ X10 ) ) ) => 808.88/103.86 ( ( ![X16:$i,X18:( $i > $o ),X20:$i]: 808.88/103.86 ( ( in @ 808.88/103.86 X20 @ ( dsetconstr @ X16 @ ( ^[V_3:$i]: ( X18 @ V_3 ) ) ) ) => 808.88/103.86 ( X18 @ X20 ) ) ) => 808.88/103.86 ( ( ![X22:$i,X24:( $i > $o ),X26:$i]: 808.88/103.86 ( ( in @ X26 @ X22 ) => 808.88/103.86 ( ( X24 @ X26 ) => 808.88/103.86 ( ( dsetconstr @ X22 @ ( ^[V_4:$i]: ( X24 @ V_4 ) ) ) != 808.88/103.86 ( emptyset ) ) ) ) ) => 808.88/103.86 ( ( ![X28:$i,X30:$i]: 808.88/103.86 ( ( ![X32:$i]: ( ( in @ X32 @ X30 ) => ( in @ X32 @ X28 ) ) ) => 808.88/103.86 ( in @ X30 @ ( powerset @ X28 ) ) ) ) => 808.88/103.86 ( ( ![X34:$i,X36:( $i > $o ),X38:$i]: 808.88/103.86 ( ( in @ X38 @ X34 ) => 808.88/103.86 ( ( X36 @ X38 ) => 808.88/103.86 ( ( ![X40:$i]: 808.88/103.86 ( ( in @ X40 @ X34 ) => 808.88/103.86 ( ( X36 @ X40 ) => ( ( X40 ) = ( X38 ) ) ) ) ) => 808.88/103.86 ( singleton @ 808.88/103.86 ( dsetconstr @ X34 @ ( ^[V_5:$i]: ( X36 @ V_5 ) ) ) ) ) ) ) ) => 808.88/103.86 ( ![X42:$i,X44:$i,X46:( $i > $i > $o )]: 808.88/103.86 ( ( ![X48:$i]: 808.88/103.86 ( ( in @ X48 @ X42 ) => 808.88/103.86 ( ?[X50:$i]: 808.88/103.86 ( ( X46 @ X48 @ X50 ) & ( in @ X50 @ X44 ) ) ) ) ) => 808.88/103.86 ( ![X52:$i]: 808.88/103.86 ( ( in @ X52 @ ( breln1Set @ X44 ) ) => 808.88/103.86 ( ( ( reflexive @ X44 @ X52 ) & 808.88/103.86 ( transitive @ X44 @ X52 ) & 808.88/103.86 ( ![X54:$i]: 808.88/103.86 ( ( in @ X54 @ X44 ) => 808.88/103.86 ( ![X56:$i]: 808.88/103.86 ( ( in @ X56 @ X44 ) => 808.88/103.86 ( ( ( in @ ( kpair @ X54 @ X56 ) @ X52 ) & 808.88/103.86 ( in @ ( kpair @ X56 @ X54 ) @ X52 ) ) => 808.88/103.86 ( ( X54 ) = ( X56 ) ) ) ) ) ) ) & 808.88/103.86 ( ![X58:$i]: 808.88/103.86 ( ( in @ X58 @ X44 ) => 808.88/103.86 ( ![X60:$i]: 808.88/103.86 ( ( in @ X60 @ X44 ) => 808.88/103.86 ( ( in @ ( kpair @ X58 @ X60 ) @ X52 ) | 808.88/103.86 ( in @ ( kpair @ X60 @ X58 ) @ X52 ) ) ) ) ) ) & 808.88/103.86 ( ![X62:$i]: 808.88/103.86 ( ( in @ X62 @ ( powerset @ X44 ) ) => 808.88/103.86 ( ( ( X62 ) != ( emptyset ) ) => 808.88/103.86 ( ?[X64:$i]: 808.88/103.86 ( ( ![X66:$i]: 808.88/103.86 ( ( in @ X66 @ X62 ) => 808.88/103.86 ( in @ ( kpair @ X64 @ X66 ) @ X52 ) ) ) & 808.88/103.86 ( in @ X64 @ X62 ) ) ) ) ) ) ) => 808.88/103.86 ( ![X68:$i]: 808.88/103.86 ( ( in @ X68 @ X42 ) => 808.88/103.86 ( singleton @ 808.88/103.86 ( dsetconstr @ 808.88/103.86 X44 @ 808.88/103.86 ( ^[V_6:$i]: 808.88/103.86 ( ( ![X70:$i]: 808.88/103.86 ( ( in @ X70 @ X44 ) => 808.88/103.86 ( ( X46 @ X68 @ X70 ) => 808.88/103.86 ( in @ 808.88/103.86 ( kpair @ V_6 @ X70 ) @ X52 ) ) ) ) & 808.88/103.86 ( X46 @ X68 @ V_6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 808.88/103.86 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 808.88/103.86 thf(zip_derived_cl6, plain, ( (in @ sk__32 @ sk__27)), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl6, plain, ( (in @ sk__32 @ sk__27)), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl14, plain, 808.88/103.86 (![X14 : $i]: ( (in @ (sk__33 @ X14) @ sk__28) | ~ (in @ X14 @ sk__27))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl25, plain, ( (in @ (sk__33 @ sk__32) @ sk__28)), 808.88/103.86 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl14])). 808.88/103.86 thf(zip_derived_cl13, plain, 808.88/103.86 (![X14 : $i]: ( (sk__29 @ X14 @ (sk__33 @ X14)) | ~ (in @ X14 @ sk__27))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl13781, plain, 808.88/103.86 (![X15 : $i, X16 : $i > $o, X17 : $i]: 808.88/103.86 ( (singleton @ (dsetconstr @ X15 @ X16)) 808.88/103.86 | ~ (in @ X17 @ X15) 808.88/103.86 | ((sk__26 @ X17 @ X16 @ X15) != (X17)) 808.88/103.86 | ~ (X16 @ X17))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl5, plain, 808.88/103.86 (~ (singleton @ 808.88/103.86 (dsetconstr @ sk__28 @ 808.88/103.86 (^[Y0 : $i]: 808.88/103.86 (((((!!) @ (^[Y1 : $i]: 808.88/103.86 (((in @ Y1 @ sk__28) => 808.88/103.86 (((sk__29 @ sk__32 @ Y1) => (in @ 808.88/103.86 (kpair @ Y0 @ Y1) @ sk__30)))))))) & 808.88/103.86 (sk__29 @ sk__32 @ Y0))))))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl5, plain, 808.88/103.86 (~ (singleton @ 808.88/103.86 (dsetconstr @ sk__28 @ 808.88/103.86 (^[Y0 : $i]: 808.88/103.86 (((((!!) @ (^[Y1 : $i]: 808.88/103.86 (((in @ Y1 @ sk__28) => 808.88/103.86 (((sk__29 @ sk__32 @ Y1) => (in @ 808.88/103.86 (kpair @ Y0 @ Y1) @ sk__30)))))))) & 808.88/103.86 (sk__29 @ sk__32 @ Y0))))))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl13778, plain, 808.88/103.86 (![X1 : $i]: 808.88/103.86 (('#l_lift2316' @ X1) 808.88/103.86 = (((((!!) @ (^[Y0 : $i]: 808.88/103.86 (((in @ Y0 @ sk__28) => 808.88/103.86 (((sk__29 @ sk__32 @ Y0) => (in @ 808.88/103.86 (kpair @ X1 @ Y0) @ sk__30)))))))) & 808.88/103.86 (sk__29 @ sk__32 @ X1))))), 808.88/103.86 define([status(thm)])). 808.88/103.86 thf(zip_derived_cl13779, plain, 808.88/103.86 (~ (singleton @ (dsetconstr @ sk__28 @ '#l_lift2316'))), 808.88/103.86 inference('lambda_lifting', [status(thm)], 808.88/103.86 [zip_derived_cl5, zip_derived_cl13778])). 808.88/103.86 thf(zip_derived_cl13782, plain, 808.88/103.86 (![X15 : $i, X16 : $i > $o, X17 : $i]: 808.88/103.86 ( (singleton @ (dsetconstr @ X15 @ X16)) 808.88/103.86 | ~ (in @ X17 @ X15) 808.88/103.86 | (in @ (sk__26 @ X17 @ X16 @ X15) @ X15) 808.88/103.86 | ~ (X16 @ X17))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl13780, plain, 808.88/103.86 (![X15 : $i, X16 : $i > $o, X17 : $i]: 808.88/103.86 ( (singleton @ (dsetconstr @ X15 @ X16)) 808.88/103.86 | ~ (in @ X17 @ X15) 808.88/103.86 | (X16 @ (sk__26 @ X17 @ X16 @ X15)) 808.88/103.86 | ~ (X16 @ X17))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl13778, plain, 808.88/103.86 (![X1 : $i]: 808.88/103.86 (('#l_lift2316' @ X1) 808.88/103.86 = (((((!!) @ (^[Y0 : $i]: 808.88/103.86 (((in @ Y0 @ sk__28) => 808.88/103.86 (((sk__29 @ sk__32 @ Y0) => (in @ 808.88/103.86 (kpair @ X1 @ Y0) @ sk__30)))))))) & 808.88/103.86 (sk__29 @ sk__32 @ X1))))), 808.88/103.86 define([status(thm)])). 808.88/103.86 thf(zip_derived_cl13777, plain, 808.88/103.86 (![X3 : $i > $o, X4 : $i, X5 : $i]: 808.88/103.86 ( (X3 @ X4) | ~ (in @ X4 @ (dsetconstr @ X5 @ X3)))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl7, plain, 808.88/103.86 (![X8 : $i]: 808.88/103.86 (((X8) = (emptyset)) 808.88/103.86 | (in @ (sk__31 @ X8) @ X8) 808.88/103.86 | ~ (in @ X8 @ (powerset @ sk__28)))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl13783, plain, 808.88/103.86 (![X18 : $i, X19 : $i > $o, X20 : $i]: 808.88/103.86 (((dsetconstr @ X18 @ X19) != (emptyset)) 808.88/103.86 | ~ (in @ X20 @ X18) 808.88/103.86 | ~ (X19 @ X20))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl13776, plain, 808.88/103.86 (![X0 : $i > $o, X1 : $i, X2 : $i]: 808.88/103.86 (~ (X0 @ X1) | (in @ X1 @ (dsetconstr @ X2 @ X0)) | ~ (in @ X1 @ X2))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl10, plain, 808.88/103.86 (![X12 : $i, X13 : $i]: 808.88/103.86 (~ (in @ X12 @ sk__28) 808.88/103.86 | ((X13) = (X12)) 808.88/103.86 | ~ (in @ (kpair @ X12 @ X13) @ sk__30) 808.88/103.86 | ~ (in @ (kpair @ X13 @ X12) @ sk__30) 808.88/103.86 | ~ (in @ X13 @ sk__28))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl8, plain, 808.88/103.86 (![X8 : $i, X9 : $i]: 808.88/103.86 (((X8) = (emptyset)) 808.88/103.86 | ~ (in @ X9 @ X8) 808.88/103.86 | (in @ (kpair @ (sk__31 @ X8) @ X9) @ sk__30) 808.88/103.86 | ~ (in @ X8 @ (powerset @ sk__28)))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl3, plain, 808.88/103.86 (![X6 : $i, X7 : $i]: 808.88/103.86 ( (in @ X6 @ (powerset @ X7)) | (in @ (sk__34 @ X6 @ X7) @ X6))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl2, plain, 808.88/103.86 (![X6 : $i, X7 : $i]: 808.88/103.86 ( (in @ X6 @ (powerset @ X7)) | ~ (in @ (sk__34 @ X6 @ X7) @ X7))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl13784, plain, 808.88/103.86 (![X21 : $i, X22 : $i, X23 : $i > $o]: 808.88/103.86 ( (in @ X21 @ X22) | ~ (in @ X21 @ (dsetconstr @ X22 @ X23)))), 808.88/103.86 inference('cnf', [status(esa)], [zf_stmt_1])). 808.88/103.86 thf(zip_derived_cl13802, plain, ($false), 808.88/103.86 inference('eprover', [status(thm)], 808.88/103.86 [zip_derived_cl6, zip_derived_cl25, zip_derived_cl13, 808.88/103.86 zip_derived_cl13781, zip_derived_cl13779, 808.88/103.86 zip_derived_cl13782, zip_derived_cl13780, 808.88/103.86 zip_derived_cl13778, zip_derived_cl13777, zip_derived_cl7, 808.88/103.86 zip_derived_cl13783, zip_derived_cl13776, zip_derived_cl10, 808.88/103.86 zip_derived_cl8, zip_derived_cl3, zip_derived_cl2, 808.88/103.86 zip_derived_cl13784])). 808.88/103.86 808.88/103.86 % SZS output end Refutation 808.88/103.86 808.88/103.86 808.88/103.86 % Terminating... 808.88/103.99 % Runner terminated. 808.88/104.00 % Zipperpin 1.5 exiting 808.88/104.00 EOF