0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jb0O05tKVG true 0.14/0.35 % Computer : n017.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 : 1440 0.14/0.35 % WCLimit : 180 0.14/0.35 % DateTime : Thu Jul 4 09:35:39 EDT 2024 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 1440 s 0.14/0.36 % 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 0.53/0.66 % Total configuration time : 828 0.53/0.66 % Estimated wc time : 1656 0.53/0.66 % Estimated cpu time (8 cpus) : 207.0 0.54/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.54/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.54/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.56/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.56/0.82 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 0.57/0.88 % Solved by lams/40_c.s.sh. 0.57/0.88 % done 46 iterations in 0.095s 0.57/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.57/0.88 % SZS output start Refutation 0.57/0.88 thf(term_type, type, term: $tType). 0.57/0.88 thf(subst_type, type, subst: $tType). 0.57/0.88 thf(axmap_type, type, axmap: $o). 0.57/0.88 thf(axclos_type, type, axclos: $o). 0.57/0.88 thf(lam_type, type, lam: term > term). 0.57/0.88 thf(lamnotap_type, type, lamnotap: $o). 0.57/0.88 thf(axvarcons_type, type, axvarcons: $o). 0.57/0.88 thf(substmonoid_type, type, substmonoid: $o). 0.57/0.88 thf(push_type, type, push: term > subst > subst). 0.57/0.88 thf(axshiftcons_type, type, axshiftcons: $o). 0.57/0.88 thf(hoasapinj1_type, type, hoasapinj1: $o). 0.57/0.88 thf(axapp_type, type, axapp: $o). 0.57/0.88 thf(shinj_type, type, shinj: $o). 0.57/0.88 thf(hoasap_type, type, hoasap: subst > term > subst > term > term). 0.57/0.88 thf(hoasinduction_lem3b_type, type, hoasinduction_lem3b: $o). 0.57/0.88 thf(hoaslaminj_type, type, hoaslaminj: $o). 0.57/0.88 thf(one_type, type, one: term). 0.57/0.88 thf(sk__171_type, type, sk__171: term). 0.57/0.88 thf(id_type, type, id: subst). 0.57/0.88 thf(comp_type, type, comp: subst > subst > subst). 0.57/0.88 thf(hoaslamnotap_type, type, hoaslamnotap: $o). 0.57/0.88 thf(induction2_type, type, induction2: $o). 0.57/0.88 thf(axvarid_type, type, axvarid: $o). 0.57/0.88 thf(axvarshift_type, type, axvarshift: $o). 0.57/0.88 thf(induction2lem_type, type, induction2lem: $o). 0.57/0.88 thf(sh_type, type, sh: subst). 0.57/0.88 thf(laminj_type, type, laminj: $o). 0.57/0.88 thf(ulamvarind_type, type, ulamvarind: $o). 0.57/0.88 thf(apinj2_type, type, apinj2: $o). 0.57/0.88 thf(ulamvarsh_type, type, ulamvarsh: $o). 0.57/0.88 thf(lamnotvar_type, type, lamnotvar: $o). 0.57/0.88 thf(apnotvar_type, type, apnotvar: $o). 0.57/0.88 thf(pushprop_type, type, pushprop: $o). 0.57/0.88 thf(sub_type, type, sub: term > subst > term). 0.57/0.88 thf(apinj1_type, type, apinj1: $o). 0.57/0.88 thf(axidl_type, type, axidl: $o). 0.57/0.88 thf(ap_type, type, ap: term > term > term). 0.57/0.88 thf(termmset_type, type, termmset: $o). 0.57/0.88 thf(hoasapinj2_type, type, hoasapinj2: $o). 0.57/0.88 thf(hoasinduction_lem1_type, type, hoasinduction_lem1: $o). 0.57/0.88 thf(hoasapnotvar_type, type, hoasapnotvar: $o). 0.57/0.88 thf(var_type, type, var: term > $o). 0.57/0.88 thf(axassoc_type, type, axassoc: $o). 0.57/0.88 thf(hoaslamnotvar_type, type, hoaslamnotvar: $o). 0.57/0.88 thf(hoaslam_type, type, hoaslam: subst > (subst > term > term) > term). 0.57/0.88 thf(hoasinduction_lem3b_gthm_type, type, hoasinduction_lem3b_gthm: $o). 0.57/0.88 thf(hoasinduction_lem2_type, type, hoasinduction_lem2: $o). 0.57/0.88 thf(axidr_type, type, axidr: $o). 0.57/0.88 thf(axabs_type, type, axabs: $o). 0.57/0.88 thf(hoasvar_type, type, hoasvar: subst > term > subst > $o). 0.57/0.88 thf(ulamvar1_type, type, ulamvar1: $o). 0.57/0.88 thf(induction_type, type, induction: $o). 0.57/0.88 thf(axscons_type, type, axscons: $o). 0.57/0.88 thf(hoasinduction_lem3b_gthm, axiom, hoasinduction_lem3b_gthm = 0.57/0.88 (( axapp ) => 0.57/0.88 ( ( axvarcons ) => 0.57/0.88 ( ( axvarid ) => 0.57/0.88 ( ( axabs ) => 0.57/0.88 ( ( axclos ) => 0.57/0.88 ( ( axidl ) => 0.57/0.88 ( ( axshiftcons ) => 0.57/0.88 ( ( axassoc ) => 0.57/0.88 ( ( axmap ) => 0.57/0.88 ( ( axidr ) => 0.57/0.88 ( ( axvarshift ) => 0.57/0.88 ( ( axscons ) => 0.57/0.88 ( ( ulamvar1 ) => 0.57/0.88 ( ( ulamvarsh ) => 0.57/0.88 ( ( ulamvarind ) => 0.57/0.88 ( ( apinj1 ) => 0.57/0.88 ( ( apinj2 ) => 0.57/0.88 ( ( laminj ) => 0.57/0.88 ( ( shinj ) => 0.57/0.88 ( ( lamnotap ) => 0.57/0.88 ( ( apnotvar ) => 0.57/0.88 ( ( lamnotvar ) => 0.57/0.88 ( ( induction ) => 0.57/0.88 ( ( pushprop ) => 0.57/0.88 ( ( induction2lem ) => 0.57/0.88 ( ( induction2 ) => 0.57/0.88 ( ( substmonoid ) => 0.57/0.88 ( ( termmset ) => 0.57/0.88 ( ( hoasapinj1 ) => 0.57/0.88 ( ( hoasapinj2 ) => 0.57/0.88 ( ( hoaslaminj ) => 0.57/0.88 ( ( hoaslamnotap ) => 0.57/0.88 ( ( 0.57/0.88 hoaslamnotvar ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 hoasapnotvar ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 hoasinduction_lem1 ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 hoasinduction_lem2 ) => 0.57/0.88 ( 0.57/0.88 hoasinduction_lem3b ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 0.57/0.88 thf('0', plain, 0.57/0.88 (( hoasinduction_lem3b_gthm ) = 0.57/0.88 ( ( axapp ) => 0.57/0.88 ( ( axvarcons ) => 0.57/0.88 ( ( axvarid ) => 0.57/0.88 ( ( axabs ) => 0.57/0.88 ( ( axclos ) => 0.57/0.88 ( ( axidl ) => 0.57/0.88 ( ( axshiftcons ) => 0.57/0.88 ( ( axassoc ) => 0.57/0.88 ( ( axmap ) => 0.57/0.88 ( ( axidr ) => 0.57/0.88 ( ( axvarshift ) => 0.57/0.88 ( ( axscons ) => 0.57/0.88 ( ( ulamvar1 ) => 0.57/0.88 ( ( ulamvarsh ) => 0.57/0.88 ( ( ulamvarind ) => 0.57/0.88 ( ( apinj1 ) => 0.57/0.88 ( ( apinj2 ) => 0.57/0.88 ( ( laminj ) => 0.57/0.88 ( ( shinj ) => 0.57/0.88 ( ( lamnotap ) => 0.57/0.88 ( ( apnotvar ) => 0.57/0.88 ( ( lamnotvar ) => 0.57/0.88 ( ( induction ) => 0.57/0.88 ( ( pushprop ) => 0.57/0.88 ( ( induction2lem ) => 0.57/0.88 ( ( induction2 ) => 0.57/0.88 ( ( substmonoid ) => 0.57/0.88 ( ( termmset ) => 0.57/0.88 ( ( hoasapinj1 ) => 0.57/0.88 ( ( hoasapinj2 ) => 0.57/0.88 ( ( 0.57/0.88 hoaslaminj ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 hoaslamnotap ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 hoaslamnotvar ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 hoasapnotvar ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 hoasinduction_lem1 ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 hoasinduction_lem2 ) => 0.57/0.88 ( 0.57/0.88 hoasinduction_lem3b ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(hoasinduction_lem3b, axiom, hoasinduction_lem3b = 0.57/0.88 (![B:term]: 0.57/0.88 ( ?[F:( subst > term > term )]: 0.57/0.88 ( ( sub @ B @ ( push @ one @ sh ) ) = ( F @ sh @ one ) ) ))). 0.57/0.88 thf('1', plain, 0.57/0.88 (( hoasinduction_lem3b ) = 0.57/0.88 ( ![X4:term]: 0.57/0.88 ( ?[X6:( subst > term > term )]: 0.57/0.88 ( ( sub @ X4 @ ( push @ one @ sh ) ) = ( X6 @ sh @ one ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(hoasinduction_lem2, axiom, hoasinduction_lem2 = 0.57/0.88 (![P:( subst > term > subst > $o )]: 0.57/0.88 ( ( ![M:subst,A:term,N:subst,K:subst]: 0.57/0.88 ( ( P @ M @ A @ ( comp @ K @ N ) ) => 0.57/0.88 ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N ) ) ) => 0.57/0.88 ( ( ![M:subst,A:term,N:subst,K:subst]: 0.57/0.88 ( ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N ) => 0.57/0.88 ( P @ M @ A @ ( comp @ K @ N ) ) ) ) => 0.57/0.88 ( ( ![A:term,B:term]: 0.57/0.88 ( ( P @ id @ A @ id ) => 0.57/0.88 ( ( P @ id @ B @ id ) => 0.57/0.88 ( P @ id @ ( hoasap @ id @ A @ id @ B ) @ id ) ) ) ) => 0.57/0.88 ( ![A:term,B:term]: 0.57/0.88 ( ( P @ id @ A @ id ) => 0.57/0.88 ( ( P @ id @ B @ id ) => ( P @ id @ ( ap @ A @ B ) @ id ) ) ) ) ) ) ))). 0.57/0.88 thf('2', plain, 0.57/0.88 (( hoasinduction_lem2 ) = 0.57/0.88 ( ![X4:( subst > term > subst > $o )]: 0.57/0.88 ( ( ![X6:subst,X8:term,X10:subst,X12:subst]: 0.57/0.88 ( ( X4 @ X6 @ X8 @ ( comp @ X12 @ X10 ) ) => 0.57/0.88 ( X4 @ ( comp @ X6 @ X12 ) @ ( sub @ X8 @ X12 ) @ X10 ) ) ) => 0.57/0.88 ( ( ![X14:subst,X16:term,X18:subst,X20:subst]: 0.57/0.88 ( ( X4 @ ( comp @ X14 @ X20 ) @ ( sub @ X16 @ X20 ) @ X18 ) => 0.57/0.88 ( X4 @ X14 @ X16 @ ( comp @ X20 @ X18 ) ) ) ) => 0.57/0.88 ( ( ![X22:term,X24:term]: 0.57/0.88 ( ( X4 @ id @ X22 @ id ) => 0.57/0.88 ( ( X4 @ id @ X24 @ id ) => 0.57/0.88 ( X4 @ id @ ( hoasap @ id @ X22 @ id @ X24 ) @ id ) ) ) ) => 0.57/0.88 ( ![X26:term,X28:term]: 0.57/0.88 ( ( X4 @ id @ X26 @ id ) => 0.57/0.88 ( ( X4 @ id @ X28 @ id ) => 0.57/0.88 ( X4 @ id @ ( ap @ X26 @ X28 ) @ id ) ) ) ) ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(hoasinduction_lem1, axiom, hoasinduction_lem1 = 0.57/0.88 (![P:( subst > term > subst > $o )]: 0.57/0.88 ( ( ![M:subst,A:term,N:subst,K:subst]: 0.57/0.88 ( ( P @ M @ A @ ( comp @ K @ N ) ) => 0.57/0.88 ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N ) ) ) => 0.57/0.88 ( ( ![M:subst,A:term,N:subst,K:subst]: 0.57/0.88 ( ( P @ ( comp @ M @ K ) @ ( sub @ A @ K ) @ N ) => 0.57/0.88 ( P @ M @ A @ ( comp @ K @ N ) ) ) ) => 0.57/0.88 ( ( ![A:term]: ( ( hoasvar @ id @ A @ id ) => ( P @ id @ A @ id ) ) ) => 0.57/0.88 ( ![A:term]: ( ( var @ A ) => ( P @ id @ A @ id ) ) ) ) ) ))). 0.57/0.88 thf('3', plain, 0.57/0.88 (( hoasinduction_lem1 ) = 0.57/0.88 ( ![X4:( subst > term > subst > $o )]: 0.57/0.88 ( ( ![X6:subst,X8:term,X10:subst,X12:subst]: 0.57/0.88 ( ( X4 @ X6 @ X8 @ ( comp @ X12 @ X10 ) ) => 0.57/0.88 ( X4 @ ( comp @ X6 @ X12 ) @ ( sub @ X8 @ X12 ) @ X10 ) ) ) => 0.57/0.88 ( ( ![X14:subst,X16:term,X18:subst,X20:subst]: 0.57/0.88 ( ( X4 @ ( comp @ X14 @ X20 ) @ ( sub @ X16 @ X20 ) @ X18 ) => 0.57/0.88 ( X4 @ X14 @ X16 @ ( comp @ X20 @ X18 ) ) ) ) => 0.57/0.88 ( ( ![X22:term]: 0.57/0.88 ( ( hoasvar @ id @ X22 @ id ) => ( X4 @ id @ X22 @ id ) ) ) => 0.57/0.88 ( ![X24:term]: ( ( var @ X24 ) => ( X4 @ id @ X24 @ id ) ) ) ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(hoasapnotvar, axiom, hoasapnotvar = 0.57/0.88 (![A:term,B:term]: 0.57/0.88 ( ~( hoasvar @ id @ ( hoasap @ id @ A @ id @ B ) @ id ) ))). 0.57/0.88 thf('4', plain, 0.57/0.88 (( hoasapnotvar ) = 0.57/0.88 ( ![X4:term,X6:term]: 0.57/0.88 ( ~( hoasvar @ id @ ( hoasap @ id @ X4 @ id @ X6 ) @ id ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(hoaslamnotvar, axiom, hoaslamnotvar = 0.57/0.88 (![F:( subst > term > term )]: 0.57/0.88 ( ( ![M:subst,A:term,N:subst]: 0.57/0.88 ( ( sub @ ( F @ M @ A ) @ N ) = 0.57/0.88 ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) ) ) => 0.57/0.88 ( ~( hoasvar @ 0.57/0.88 id @ ( hoaslam @ id @ ( ^[M:subst,A:term]: ( F @ M @ A ) ) ) @ id ) ) ))). 0.57/0.88 thf('5', plain, 0.57/0.88 (( hoaslamnotvar ) = 0.57/0.88 ( ![X4:( subst > term > term )]: 0.57/0.88 ( ( ![X6:subst,X8:term,X10:subst]: 0.57/0.88 ( ( sub @ ( X4 @ X6 @ X8 ) @ X10 ) = 0.57/0.88 ( X4 @ ( comp @ X6 @ X10 ) @ ( sub @ X8 @ X10 ) ) ) ) => 0.57/0.88 ( ~( hoasvar @ 0.57/0.88 id @ 0.57/0.88 ( hoaslam @ id @ ( ^[V_1:subst,V_2:term]: ( X4 @ V_1 @ V_2 ) ) ) @ 0.57/0.88 id ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(hoaslamnotap, axiom, hoaslamnotap = 0.57/0.88 (![F:( subst > term > term )]: 0.57/0.88 ( ( ![M:subst,A:term,N:subst]: 0.57/0.88 ( ( sub @ ( F @ M @ A ) @ N ) = 0.57/0.88 ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) ) ) => 0.57/0.88 ( ![A:term,B:term]: 0.57/0.88 ( ( hoaslam @ id @ ( ^[M:subst,C:term]: ( F @ M @ C ) ) ) != 0.57/0.88 ( hoasap @ id @ A @ id @ B ) ) ) ))). 0.57/0.88 thf('6', plain, 0.57/0.88 (( hoaslamnotap ) = 0.57/0.88 ( ![X4:( subst > term > term )]: 0.57/0.88 ( ( ![X6:subst,X8:term,X10:subst]: 0.57/0.88 ( ( sub @ ( X4 @ X6 @ X8 ) @ X10 ) = 0.57/0.88 ( X4 @ ( comp @ X6 @ X10 ) @ ( sub @ X8 @ X10 ) ) ) ) => 0.57/0.88 ( ![X12:term,X14:term]: 0.57/0.88 ( ( hoaslam @ id @ ( ^[V_1:subst,V_2:term]: ( X4 @ V_1 @ V_2 ) ) ) != 0.57/0.88 ( hoasap @ id @ X12 @ id @ X14 ) ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(hoaslaminj, axiom, hoaslaminj = 0.57/0.88 (![F:( subst > term > term )]: 0.57/0.88 ( ( ![M:subst,A:term,N:subst]: 0.57/0.88 ( ( sub @ ( F @ M @ A ) @ N ) = 0.57/0.88 ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) ) ) => 0.57/0.88 ( ![G:( subst > term > term )]: 0.57/0.88 ( ( ![M:subst,A:term,N:subst]: 0.57/0.88 ( ( sub @ ( G @ M @ A ) @ N ) = 0.57/0.88 ( G @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) ) ) => 0.57/0.88 ( ( ( hoaslam @ id @ ( ^[M:subst,A:term]: ( F @ M @ A ) ) ) = 0.57/0.88 ( hoaslam @ id @ ( ^[M:subst,A:term]: ( G @ M @ A ) ) ) ) => 0.57/0.88 ( ![M:subst,A:term]: ( ( F @ M @ A ) = ( G @ M @ A ) ) ) ) ) ) ))). 0.57/0.88 thf('7', plain, 0.57/0.88 (( hoaslaminj ) = 0.57/0.88 ( ![X4:( subst > term > term )]: 0.57/0.88 ( ( ![X6:subst,X8:term,X10:subst]: 0.57/0.88 ( ( sub @ ( X4 @ X6 @ X8 ) @ X10 ) = 0.57/0.88 ( X4 @ ( comp @ X6 @ X10 ) @ ( sub @ X8 @ X10 ) ) ) ) => 0.57/0.88 ( ![X12:( subst > term > term )]: 0.57/0.88 ( ( ![X14:subst,X16:term,X18:subst]: 0.57/0.88 ( ( sub @ ( X12 @ X14 @ X16 ) @ X18 ) = 0.57/0.88 ( X12 @ ( comp @ X14 @ X18 ) @ ( sub @ X16 @ X18 ) ) ) ) => 0.57/0.88 ( ( ( hoaslam @ 0.57/0.88 id @ ( ^[V_1:subst,V_2:term]: ( X4 @ V_1 @ V_2 ) ) ) = 0.57/0.88 ( hoaslam @ 0.57/0.88 id @ ( ^[V_3:subst,V_4:term]: ( X12 @ V_3 @ V_4 ) ) ) ) => 0.57/0.88 ( ![X20:subst,X22:term]: 0.57/0.88 ( ( X4 @ X20 @ X22 ) = ( X12 @ X20 @ X22 ) ) ) ) ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(hoasapinj2, axiom, hoasapinj2 = 0.57/0.88 (![A:term,B:term,C:term,D:term]: 0.57/0.88 ( ( ( hoasap @ id @ A @ id @ C ) = ( hoasap @ id @ B @ id @ D ) ) => 0.57/0.88 ( ( C ) = ( D ) ) ))). 0.57/0.88 thf('8', plain, 0.57/0.88 (( hoasapinj2 ) = 0.57/0.88 ( ![X4:term,X6:term,X8:term,X10:term]: 0.57/0.88 ( ( ( hoasap @ id @ X4 @ id @ X8 ) = ( hoasap @ id @ X6 @ id @ X10 ) ) => 0.57/0.88 ( ( X8 ) = ( X10 ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(hoasapinj1, axiom, hoasapinj1 = 0.57/0.88 (![A:term,B:term,C:term,D:term]: 0.57/0.88 ( ( ( hoasap @ id @ A @ id @ C ) = ( hoasap @ id @ B @ id @ D ) ) => 0.57/0.88 ( ( A ) = ( B ) ) ))). 0.57/0.88 thf('9', plain, 0.57/0.88 (( hoasapinj1 ) = 0.57/0.88 ( ![X4:term,X6:term,X8:term,X10:term]: 0.57/0.88 ( ( ( hoasap @ id @ X4 @ id @ X8 ) = ( hoasap @ id @ X6 @ id @ X10 ) ) => 0.57/0.88 ( ( X4 ) = ( X6 ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(hoasvar, axiom,(( hoasvar ) = 0.57/0.88 (^[M:subst,A:term,N:subst]: ( var @ ( sub @ A @ N ) )))). 0.57/0.88 thf('10', plain, 0.57/0.88 (( hoasvar ) = ( ^[M:subst,A:term,N:subst]: ( var @ ( sub @ A @ N ) ) )), 0.57/0.88 inference('simplify_rw_rule', [status(thm)], [hoasvar])). 0.57/0.88 thf('11', plain, 0.57/0.88 (( hoasvar ) = 0.57/0.88 ( ^[V_1:subst,V_2:term,V_3:subst]: ( var @ ( sub @ V_2 @ V_3 ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(hoaslam, axiom,(( hoaslam ) = 0.57/0.88 (^[M:subst,F:( subst > term > term )]: ( lam @ ( F @ sh @ one ) )))). 0.57/0.88 thf('12', plain, 0.57/0.88 (( hoaslam ) = 0.57/0.88 ( ^[M:subst,F:( subst > term > term )]: ( lam @ ( F @ sh @ one ) ) )), 0.57/0.88 inference('simplify_rw_rule', [status(thm)], [hoaslam])). 0.57/0.88 thf('13', plain, 0.57/0.88 (( hoaslam ) = 0.57/0.88 ( ^[V_1:subst,V_2:( subst > term > term )]: ( lam @ ( V_2 @ sh @ one ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(hoasap, axiom,(( hoasap ) = 0.57/0.88 (^[M:subst,A:term,N:subst,B:term]: ( ap @ ( sub @ A @ N ) @ B )))). 0.57/0.88 thf('14', plain, 0.57/0.88 (( hoasap ) = 0.57/0.88 ( ^[M:subst,A:term,N:subst,B:term]: ( ap @ ( sub @ A @ N ) @ B ) )), 0.57/0.88 inference('simplify_rw_rule', [status(thm)], [hoasap])). 0.57/0.88 thf('15', plain, 0.57/0.88 (( hoasap ) = 0.57/0.88 ( ^[V_1:subst,V_2:term,V_3:subst,V_4:term]: 0.57/0.88 ( ap @ ( sub @ V_2 @ V_3 ) @ V_4 ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(termmset, axiom, termmset = 0.57/0.88 (( ![A:term]: ( ( sub @ A @ id ) = ( A ) ) ) & 0.57/0.88 ( ![A:term,M:subst,N:subst]: 0.57/0.88 ( ( sub @ ( sub @ A @ M ) @ N ) = ( sub @ A @ ( comp @ M @ N ) ) ) ))). 0.57/0.88 thf('16', plain, 0.57/0.88 (( termmset ) = 0.57/0.88 ( ( ![X4:term]: ( ( sub @ X4 @ id ) = ( X4 ) ) ) & 0.57/0.88 ( ![X6:term,X8:subst,X10:subst]: 0.57/0.88 ( ( sub @ ( sub @ X6 @ X8 ) @ X10 ) = 0.57/0.88 ( sub @ X6 @ ( comp @ X8 @ X10 ) ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(substmonoid, axiom, substmonoid = 0.57/0.88 (( ![M:subst]: ( ( comp @ M @ id ) = ( M ) ) ) & 0.57/0.88 ( ![M:subst]: ( ( comp @ id @ M ) = ( M ) ) ) & 0.57/0.88 ( ![M:subst,N:subst,K:subst]: 0.57/0.88 ( ( comp @ ( comp @ M @ N ) @ K ) = ( comp @ M @ ( comp @ N @ K ) ) ) ))). 0.57/0.88 thf('17', plain, 0.57/0.88 (( substmonoid ) = 0.57/0.88 ( ( ![X4:subst]: ( ( comp @ X4 @ id ) = ( X4 ) ) ) & 0.57/0.88 ( ![X6:subst]: ( ( comp @ id @ X6 ) = ( X6 ) ) ) & 0.57/0.88 ( ![X8:subst,X10:subst,X12:subst]: 0.57/0.88 ( ( comp @ ( comp @ X8 @ X10 ) @ X12 ) = 0.57/0.88 ( comp @ X8 @ ( comp @ X10 @ X12 ) ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(induction2, axiom, induction2 = 0.57/0.88 (![P:( term > $o )]: 0.57/0.88 ( ( ![A:term]: ( ( var @ A ) => ( P @ A ) ) ) => 0.57/0.88 ( ( ![A:term,B:term]: 0.57/0.88 ( ( P @ A ) => ( ( P @ B ) => ( P @ ( ap @ A @ B ) ) ) ) ) => 0.57/0.88 ( ( ![A:term]: 0.57/0.88 ( ( ![B:term]: 0.57/0.88 ( ( P @ B ) => ( P @ ( sub @ A @ ( push @ B @ id ) ) ) ) ) => 0.57/0.88 ( P @ ( lam @ A ) ) ) ) => 0.57/0.88 ( ![A:term]: ( P @ A ) ) ) ) ))). 0.57/0.88 thf('18', plain, 0.57/0.88 (( induction2 ) = 0.57/0.88 ( ![X4:( term > $o )]: 0.57/0.88 ( ( ![X6:term]: ( ( var @ X6 ) => ( X4 @ X6 ) ) ) => 0.57/0.88 ( ( ![X8:term,X10:term]: 0.57/0.88 ( ( X4 @ X8 ) => ( ( X4 @ X10 ) => ( X4 @ ( ap @ X8 @ X10 ) ) ) ) ) => 0.57/0.88 ( ( ![X12:term]: 0.57/0.88 ( ( ![X14:term]: 0.57/0.88 ( ( X4 @ X14 ) => 0.57/0.88 ( X4 @ ( sub @ X12 @ ( push @ X14 @ id ) ) ) ) ) => 0.57/0.88 ( X4 @ ( lam @ X12 ) ) ) ) => 0.57/0.88 ( ![X16:term]: ( X4 @ X16 ) ) ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(induction2lem, axiom, induction2lem = 0.57/0.88 (![P:( term > $o )]: 0.57/0.88 ( ( ![A:term,B:term]: 0.57/0.88 ( ( P @ A ) => ( ( P @ B ) => ( P @ ( ap @ A @ B ) ) ) ) ) => 0.57/0.88 ( ( ![A:term]: 0.57/0.88 ( ( ![B:term]: 0.57/0.88 ( ( P @ B ) => ( P @ ( sub @ A @ ( push @ B @ id ) ) ) ) ) => 0.57/0.88 ( P @ ( lam @ A ) ) ) ) => 0.57/0.88 ( ![A:term,M:subst]: 0.57/0.88 ( ( ![B:term]: ( ( var @ B ) => ( P @ ( sub @ B @ M ) ) ) ) => 0.57/0.88 ( P @ ( sub @ A @ M ) ) ) ) ) ))). 0.57/0.88 thf('19', plain, 0.57/0.88 (( induction2lem ) = 0.57/0.88 ( ![X4:( term > $o )]: 0.57/0.88 ( ( ![X6:term,X8:term]: 0.57/0.88 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( X4 @ ( ap @ X6 @ X8 ) ) ) ) ) => 0.57/0.88 ( ( ![X10:term]: 0.57/0.88 ( ( ![X12:term]: 0.57/0.88 ( ( X4 @ X12 ) => 0.57/0.88 ( X4 @ ( sub @ X10 @ ( push @ X12 @ id ) ) ) ) ) => 0.57/0.88 ( X4 @ ( lam @ X10 ) ) ) ) => 0.57/0.88 ( ![X14:term,X16:subst]: 0.57/0.88 ( ( ![X18:term]: 0.57/0.88 ( ( var @ X18 ) => ( X4 @ ( sub @ X18 @ X16 ) ) ) ) => 0.57/0.88 ( X4 @ ( sub @ X14 @ X16 ) ) ) ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(pushprop, axiom, pushprop = 0.57/0.88 (![P:( term > $o ),A:term,M:subst]: 0.57/0.88 ( ( ![B:term]: ( ( var @ B ) => ( P @ ( sub @ B @ M ) ) ) ) => 0.57/0.88 ( ( P @ A ) => 0.57/0.88 ( ![B:term]: ( ( var @ B ) => ( P @ ( sub @ B @ ( push @ A @ M ) ) ) ) ) ) ))). 0.57/0.88 thf('20', plain, 0.57/0.88 (( pushprop ) = 0.57/0.88 ( ![X4:( term > $o ),X6:term,X8:subst]: 0.57/0.88 ( ( ![X10:term]: ( ( var @ X10 ) => ( X4 @ ( sub @ X10 @ X8 ) ) ) ) => 0.57/0.88 ( ( X4 @ X6 ) => 0.57/0.88 ( ![X12:term]: 0.57/0.88 ( ( var @ X12 ) => ( X4 @ ( sub @ X12 @ ( push @ X6 @ X8 ) ) ) ) ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(induction, axiom, induction = 0.57/0.88 (![P:( term > $o )]: 0.57/0.88 ( ( ![A:term]: ( ( var @ A ) => ( P @ A ) ) ) => 0.57/0.88 ( ( ![A:term,B:term]: 0.57/0.88 ( ( P @ A ) => ( ( P @ B ) => ( P @ ( ap @ A @ B ) ) ) ) ) => 0.57/0.88 ( ( ![A:term]: ( ( P @ A ) => ( P @ ( lam @ A ) ) ) ) => 0.57/0.88 ( ![A:term]: ( P @ A ) ) ) ) ))). 0.57/0.88 thf('21', plain, 0.57/0.88 (( induction ) = 0.57/0.88 ( ![X4:( term > $o )]: 0.57/0.88 ( ( ![X6:term]: ( ( var @ X6 ) => ( X4 @ X6 ) ) ) => 0.57/0.88 ( ( ![X8:term,X10:term]: 0.57/0.88 ( ( X4 @ X8 ) => ( ( X4 @ X10 ) => ( X4 @ ( ap @ X8 @ X10 ) ) ) ) ) => 0.57/0.88 ( ( ![X12:term]: ( ( X4 @ X12 ) => ( X4 @ ( lam @ X12 ) ) ) ) => 0.57/0.88 ( ![X14:term]: ( X4 @ X14 ) ) ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(lamnotvar, axiom, lamnotvar = (![A:term]: ( ~( var @ ( lam @ A ) ) ))). 0.57/0.88 thf('22', plain, 0.57/0.88 (( lamnotvar ) = ( ![X4:term]: ( ~( var @ ( lam @ X4 ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(apnotvar, axiom, apnotvar = 0.57/0.88 (![A:term,B:term]: ( ~( var @ ( ap @ A @ B ) ) ))). 0.57/0.88 thf('23', plain, 0.57/0.88 (( apnotvar ) = ( ![X4:term,X6:term]: ( ~( var @ ( ap @ X4 @ X6 ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(lamnotap, axiom, lamnotap = 0.57/0.88 (![A:term,B:term,C:term]: ( ( lam @ A ) != ( ap @ B @ C ) ))). 0.57/0.88 thf('24', plain, 0.57/0.88 (( lamnotap ) = 0.57/0.88 ( ![X4:term,X6:term,X8:term]: ( ( lam @ X4 ) != ( ap @ X6 @ X8 ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(shinj, axiom, shinj = 0.57/0.88 (![A:term,B:term]: 0.57/0.88 ( ( ( sub @ A @ sh ) = ( sub @ B @ sh ) ) => ( ( A ) = ( B ) ) ))). 0.57/0.88 thf('25', plain, 0.57/0.88 (( shinj ) = 0.57/0.88 ( ![X4:term,X6:term]: 0.57/0.88 ( ( ( sub @ X4 @ sh ) = ( sub @ X6 @ sh ) ) => ( ( X4 ) = ( X6 ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(laminj, axiom, laminj = 0.57/0.88 (![A:term,B:term]: ( ( ( lam @ A ) = ( lam @ B ) ) => ( ( A ) = ( B ) ) ))). 0.57/0.88 thf('26', plain, 0.57/0.88 (( laminj ) = 0.57/0.88 ( ![X4:term,X6:term]: 0.57/0.88 ( ( ( lam @ X4 ) = ( lam @ X6 ) ) => ( ( X4 ) = ( X6 ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(apinj2, axiom, apinj2 = 0.57/0.88 (![A:term,B:term,C:term,D:term]: 0.57/0.88 ( ( ( ap @ A @ C ) = ( ap @ B @ D ) ) => ( ( C ) = ( D ) ) ))). 0.57/0.88 thf('27', plain, 0.57/0.88 (( apinj2 ) = 0.57/0.88 ( ![X4:term,X6:term,X8:term,X10:term]: 0.57/0.88 ( ( ( ap @ X4 @ X8 ) = ( ap @ X6 @ X10 ) ) => ( ( X8 ) = ( X10 ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(apinj1, axiom, apinj1 = 0.57/0.88 (![A:term,B:term,C:term,D:term]: 0.57/0.88 ( ( ( ap @ A @ C ) = ( ap @ B @ D ) ) => ( ( A ) = ( B ) ) ))). 0.57/0.88 thf('28', plain, 0.57/0.88 (( apinj1 ) = 0.57/0.88 ( ![X4:term,X6:term,X8:term,X10:term]: 0.57/0.88 ( ( ( ap @ X4 @ X8 ) = ( ap @ X6 @ X10 ) ) => ( ( X4 ) = ( X6 ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(ulamvarind, axiom, ulamvarind = 0.57/0.88 (![P:( term > $o )]: 0.57/0.88 ( ( P @ one ) => 0.57/0.88 ( ( ![A:term]: 0.57/0.88 ( ( var @ A ) => ( ( P @ A ) => ( P @ ( sub @ A @ sh ) ) ) ) ) => 0.57/0.88 ( ![A:term]: ( ( var @ A ) => ( P @ A ) ) ) ) ))). 0.57/0.88 thf('29', plain, 0.57/0.88 (( ulamvarind ) = 0.57/0.88 ( ![X4:( term > $o )]: 0.57/0.88 ( ( X4 @ one ) => 0.57/0.88 ( ( ![X6:term]: 0.57/0.88 ( ( var @ X6 ) => ( ( X4 @ X6 ) => ( X4 @ ( sub @ X6 @ sh ) ) ) ) ) => 0.57/0.88 ( ![X8:term]: ( ( var @ X8 ) => ( X4 @ X8 ) ) ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(ulamvarsh, axiom, ulamvarsh = 0.57/0.88 (![A:term]: ( ( var @ A ) => ( var @ ( sub @ A @ sh ) ) ))). 0.57/0.88 thf('30', plain, 0.57/0.88 (( ulamvarsh ) = 0.57/0.88 ( ![X4:term]: ( ( var @ X4 ) => ( var @ ( sub @ X4 @ sh ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(ulamvar1, axiom,(( ulamvar1 ) = (var @ one))). 0.57/0.88 thf('31', plain, (( ulamvar1 ) = ( var @ one )), 0.57/0.88 inference('simplify_rw_rule', [status(thm)], [ulamvar1])). 0.57/0.88 thf('32', plain, (( ulamvar1 ) = ( var @ one )), define([status(thm)])). 0.57/0.88 thf(axscons, axiom, axscons = 0.57/0.88 (![M:subst]: ( ( push @ ( sub @ one @ M ) @ ( comp @ sh @ M ) ) = ( M ) ))). 0.57/0.88 thf('33', plain, 0.57/0.88 (( axscons ) = 0.57/0.88 ( ![X4:subst]: 0.57/0.88 ( ( push @ ( sub @ one @ X4 ) @ ( comp @ sh @ X4 ) ) = ( X4 ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(axvarshift, axiom, axvarshift = (( push @ one @ sh ) = ( id ))). 0.57/0.88 thf('34', plain, (( axvarshift ) = ( ( push @ one @ sh ) = ( id ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(axidr, axiom, axidr = (![M:subst]: ( ( comp @ M @ id ) = ( M ) ))). 0.57/0.88 thf('35', plain, 0.57/0.88 (( axidr ) = ( ![X4:subst]: ( ( comp @ X4 @ id ) = ( X4 ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(axmap, axiom, axmap = 0.57/0.88 (![A:term,M:subst,N:subst]: 0.57/0.88 ( ( comp @ ( push @ A @ M ) @ N ) = 0.57/0.88 ( push @ ( sub @ A @ N ) @ ( comp @ M @ N ) ) ))). 0.57/0.88 thf('36', plain, 0.57/0.88 (( axmap ) = 0.57/0.88 ( ![X4:term,X6:subst,X8:subst]: 0.57/0.88 ( ( comp @ ( push @ X4 @ X6 ) @ X8 ) = 0.57/0.88 ( push @ ( sub @ X4 @ X8 ) @ ( comp @ X6 @ X8 ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(axassoc, axiom, axassoc = 0.57/0.88 (![M:subst,N:subst,K:subst]: 0.57/0.88 ( ( comp @ ( comp @ M @ N ) @ K ) = ( comp @ M @ ( comp @ N @ K ) ) ))). 0.57/0.88 thf('37', plain, 0.57/0.88 (( axassoc ) = 0.57/0.88 ( ![X4:subst,X6:subst,X8:subst]: 0.57/0.88 ( ( comp @ ( comp @ X4 @ X6 ) @ X8 ) = 0.57/0.88 ( comp @ X4 @ ( comp @ X6 @ X8 ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(axshiftcons, axiom, axshiftcons = 0.57/0.88 (![A:term,M:subst]: ( ( comp @ sh @ ( push @ A @ M ) ) = ( M ) ))). 0.57/0.88 thf('38', plain, 0.57/0.88 (( axshiftcons ) = 0.57/0.88 ( ![X4:term,X6:subst]: ( ( comp @ sh @ ( push @ X4 @ X6 ) ) = ( X6 ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(axidl, axiom, axidl = (![M:subst]: ( ( comp @ id @ M ) = ( M ) ))). 0.57/0.88 thf('39', plain, 0.57/0.88 (( axidl ) = ( ![X4:subst]: ( ( comp @ id @ X4 ) = ( X4 ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(axclos, axiom, axclos = 0.57/0.88 (![A:term,M:subst,N:subst]: 0.57/0.88 ( ( sub @ ( sub @ A @ M ) @ N ) = ( sub @ A @ ( comp @ M @ N ) ) ))). 0.57/0.88 thf('40', plain, 0.57/0.88 (( axclos ) = 0.57/0.88 ( ![X4:term,X6:subst,X8:subst]: 0.57/0.88 ( ( sub @ ( sub @ X4 @ X6 ) @ X8 ) = ( sub @ X4 @ ( comp @ X6 @ X8 ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(axabs, axiom, axabs = 0.57/0.88 (![A:term,M:subst]: 0.57/0.88 ( ( sub @ ( lam @ A ) @ M ) = 0.57/0.88 ( lam @ ( sub @ A @ ( push @ one @ ( comp @ M @ sh ) ) ) ) ))). 0.57/0.88 thf('41', plain, 0.57/0.88 (( axabs ) = 0.57/0.88 ( ![X4:term,X6:subst]: 0.57/0.88 ( ( sub @ ( lam @ X4 ) @ X6 ) = 0.57/0.88 ( lam @ ( sub @ X4 @ ( push @ one @ ( comp @ X6 @ sh ) ) ) ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(axvarid, axiom, axvarid = (![A:term]: ( ( sub @ A @ id ) = ( A ) ))). 0.57/0.88 thf('42', plain, 0.57/0.88 (( axvarid ) = ( ![X4:term]: ( ( sub @ X4 @ id ) = ( X4 ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(axvarcons, axiom, axvarcons = 0.57/0.88 (![A:term,M:subst]: ( ( sub @ one @ ( push @ A @ M ) ) = ( A ) ))). 0.57/0.88 thf('43', plain, 0.57/0.88 (( axvarcons ) = 0.57/0.88 ( ![X4:term,X6:subst]: ( ( sub @ one @ ( push @ X4 @ X6 ) ) = ( X4 ) ) )), 0.57/0.88 define([status(thm)])). 0.57/0.88 thf(axapp, axiom, axapp = 0.57/0.88 (![A:term,B:term,M:subst]: 0.57/0.88 ( ( sub @ ( ap @ A @ B ) @ M ) = 0.57/0.88 ( ap @ ( sub @ A @ M ) @ ( sub @ B @ M ) ) ))). 0.57/0.88 thf('44', plain, 0.57/0.88 (( axapp ) = 0.57/0.88 ( ![X4:term,X6:term,X8:subst]: 0.57/0.88 ( ( sub @ ( ap @ X4 @ X6 ) @ X8 ) = 0.57/0.88 ( ap @ ( sub @ X4 @ X8 ) @ ( sub @ X6 @ X8 ) ) ) )), 0.57/0.88 define([status(thm)])).thf(thm, conjecture, (hoasinduction_lem3b_gthm)). 0.57/0.88 thf(zf_stmt_0, conjecture, 0.57/0.88 (( ![X4:term,X6:term,X8:subst]: 0.57/0.88 ( ( sub @ ( ap @ X4 @ X6 ) @ X8 ) = 0.57/0.88 ( ap @ ( sub @ X4 @ X8 ) @ ( sub @ X6 @ X8 ) ) ) ) => 0.57/0.88 ( ( ![X10:term,X12:subst]: 0.57/0.88 ( ( sub @ one @ ( push @ X10 @ X12 ) ) = ( X10 ) ) ) => 0.57/0.88 ( ( ![X14:term]: ( ( sub @ X14 @ id ) = ( X14 ) ) ) => 0.57/0.88 ( ( ![X16:term,X18:subst]: 0.57/0.88 ( ( sub @ ( lam @ X16 ) @ X18 ) = 0.57/0.88 ( lam @ ( sub @ X16 @ ( push @ one @ ( comp @ X18 @ sh ) ) ) ) ) ) => 0.57/0.88 ( ( ![X20:term,X22:subst,X24:subst]: 0.57/0.88 ( ( sub @ ( sub @ X20 @ X22 ) @ X24 ) = 0.57/0.88 ( sub @ X20 @ ( comp @ X22 @ X24 ) ) ) ) => 0.57/0.88 ( ( ![X26:subst]: ( ( comp @ id @ X26 ) = ( X26 ) ) ) => 0.57/0.88 ( ( ![X28:term,X30:subst]: 0.57/0.88 ( ( comp @ sh @ ( push @ X28 @ X30 ) ) = ( X30 ) ) ) => 0.57/0.88 ( ( ![X32:subst,X34:subst,X36:subst]: 0.57/0.88 ( ( comp @ ( comp @ X32 @ X34 ) @ X36 ) = 0.57/0.88 ( comp @ X32 @ ( comp @ X34 @ X36 ) ) ) ) => 0.57/0.88 ( ( ![X38:term,X40:subst,X42:subst]: 0.57/0.88 ( ( comp @ ( push @ X38 @ X40 ) @ X42 ) = 0.57/0.88 ( push @ ( sub @ X38 @ X42 ) @ ( comp @ X40 @ X42 ) ) ) ) => 0.57/0.88 ( ( ![X44:subst]: ( ( comp @ X44 @ id ) = ( X44 ) ) ) => 0.57/0.88 ( ( ( push @ one @ sh ) = ( id ) ) => 0.57/0.88 ( ( ![X46:subst]: 0.57/0.88 ( ( push @ 0.57/0.88 ( sub @ one @ X46 ) @ ( comp @ sh @ X46 ) ) = 0.57/0.88 ( X46 ) ) ) => 0.57/0.88 ( ( var @ one ) => 0.57/0.88 ( ( ![X48:term]: 0.57/0.88 ( ( var @ X48 ) => 0.57/0.88 ( var @ ( sub @ X48 @ sh ) ) ) ) => 0.57/0.88 ( ( ![X50:( term > $o )]: 0.57/0.88 ( ( X50 @ one ) => 0.57/0.88 ( ( ![X52:term]: 0.57/0.88 ( ( var @ X52 ) => 0.57/0.88 ( ( X50 @ X52 ) => 0.57/0.88 ( X50 @ ( sub @ X52 @ sh ) ) ) ) ) => 0.57/0.88 ( ![X54:term]: 0.57/0.88 ( ( var @ X54 ) => ( X50 @ X54 ) ) ) ) ) ) => 0.57/0.88 ( ( ![X56:term,X58:term,X60:term,X62:term]: 0.57/0.88 ( ( ( ap @ X56 @ X60 ) = 0.57/0.88 ( ap @ X58 @ X62 ) ) => 0.57/0.88 ( ( X56 ) = ( X58 ) ) ) ) => 0.57/0.88 ( ( ![X64:term,X66:term,X68:term,X70:term]: 0.57/0.88 ( ( ( ap @ X64 @ X68 ) = 0.57/0.88 ( ap @ X66 @ X70 ) ) => 0.57/0.88 ( ( X68 ) = ( X70 ) ) ) ) => 0.57/0.88 ( ( ![X72:term,X74:term]: 0.57/0.88 ( ( ( lam @ X72 ) = ( lam @ X74 ) ) => 0.57/0.88 ( ( X72 ) = ( X74 ) ) ) ) => 0.57/0.88 ( ( ![X76:term,X78:term]: 0.57/0.88 ( ( ( sub @ X76 @ sh ) = 0.57/0.88 ( sub @ X78 @ sh ) ) => 0.57/0.88 ( ( X76 ) = ( X78 ) ) ) ) => 0.57/0.88 ( ( ![X80:term,X82:term,X84:term]: 0.57/0.88 ( ( lam @ X80 ) != 0.57/0.88 ( ap @ X82 @ X84 ) ) ) => 0.57/0.88 ( ( ![X86:term,X88:term]: 0.57/0.88 ( ~( var @ ( ap @ X86 @ X88 ) ) ) ) => 0.57/0.88 ( ( ![X90:term]: 0.57/0.88 ( ~( var @ ( lam @ X90 ) ) ) ) => 0.57/0.88 ( ( ![X92:( term > $o )]: 0.57/0.88 ( ( ![X94:term]: 0.57/0.88 ( ( var @ X94 ) => 0.57/0.88 ( X92 @ X94 ) ) ) => 0.57/0.88 ( ( ![X96:term,X98:term]: 0.57/0.88 ( ( X92 @ X96 ) => 0.57/0.88 ( ( X92 @ X98 ) => 0.57/0.88 ( X92 @ 0.57/0.88 ( ap @ X96 @ X98 ) ) ) ) ) => 0.57/0.88 ( ( ![X100:term]: 0.57/0.88 ( ( X92 @ X100 ) => 0.57/0.88 ( X92 @ 0.57/0.88 ( lam @ X100 ) ) ) ) => 0.57/0.88 ( ![X102:term]: 0.57/0.88 ( X92 @ X102 ) ) ) ) ) ) => 0.57/0.88 ( ( ![X104:( term > $o ), 0.57/0.88 X106:term,X108:subst]: 0.57/0.88 ( ( ![X110:term]: 0.57/0.88 ( ( var @ X110 ) => 0.57/0.88 ( X104 @ 0.57/0.88 ( sub @ 0.57/0.88 X110 @ X108 ) ) ) ) => 0.57/0.88 ( ( X104 @ X106 ) => 0.57/0.88 ( ![X112:term]: 0.57/0.88 ( ( var @ X112 ) => 0.57/0.88 ( X104 @ 0.57/0.88 ( sub @ 0.57/0.88 X112 @ 0.57/0.88 ( push @ 0.57/0.88 X106 @ X108 ) ) ) ) ) ) ) ) => 0.57/0.88 ( ( ![X114:( term > $o )]: 0.57/0.88 ( ( ![X116:term, 0.57/0.88 X118:term]: 0.57/0.88 ( ( X114 @ X116 ) => 0.57/0.88 ( ( X114 @ X118 ) => 0.57/0.88 ( X114 @ 0.57/0.88 ( ap @ 0.57/0.88 X116 @ X118 ) ) ) ) ) => 0.57/0.88 ( ( ![X120:term]: 0.57/0.88 ( ( ![X122:term]: 0.57/0.88 ( ( X114 @ 0.57/0.88 X122 ) => 0.57/0.88 ( X114 @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X120 @ 0.57/0.88 ( 0.57/0.88 push @ 0.57/0.88 X122 @ id ) ) ) ) ) => 0.57/0.88 ( X114 @ 0.57/0.88 ( lam @ X120 ) ) ) ) => 0.57/0.88 ( ![X124:term, 0.57/0.88 X126:subst]: 0.57/0.88 ( ( ![X128:term]: 0.57/0.88 ( ( var @ X128 ) => 0.57/0.88 ( X114 @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X128 @ 0.57/0.88 X126 ) ) ) ) => 0.57/0.88 ( X114 @ 0.57/0.88 ( sub @ 0.57/0.88 X124 @ X126 ) ) ) ) ) ) ) => 0.57/0.88 ( ( ![X130:( term > $o )]: 0.57/0.88 ( ( ![X132:term]: 0.57/0.88 ( ( var @ X132 ) => 0.57/0.88 ( X130 @ X132 ) ) ) => 0.57/0.88 ( ( ![X134:term, 0.57/0.88 X136:term]: 0.57/0.88 ( ( X130 @ X134 ) => 0.57/0.88 ( ( X130 @ 0.57/0.88 X136 ) => 0.57/0.88 ( X130 @ 0.57/0.88 ( 0.57/0.88 ap @ 0.57/0.88 X134 @ 0.57/0.88 X136 ) ) ) ) ) => 0.57/0.88 ( ( ![X138:term]: 0.57/0.88 ( ( ![ 0.57/0.88 X140:term]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 X130 @ 0.57/0.88 X140 ) => 0.57/0.88 ( 0.57/0.88 X130 @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X138 @ 0.57/0.88 ( 0.57/0.88 push @ 0.57/0.88 X140 @ id ) ) ) ) ) => 0.57/0.88 ( X130 @ 0.57/0.88 ( 0.57/0.88 lam @ X138 ) ) ) ) => 0.57/0.88 ( ![X142:term]: 0.57/0.88 ( X130 @ X142 ) ) ) ) ) ) => 0.57/0.88 ( ( ( ![X144:subst]: 0.57/0.88 ( ( comp @ 0.57/0.88 X144 @ id ) = 0.57/0.88 ( X144 ) ) ) & 0.57/0.88 ( ![X146:subst]: 0.57/0.88 ( ( comp @ 0.57/0.88 id @ X146 ) = 0.57/0.88 ( X146 ) ) ) & 0.57/0.88 ( ![X148:subst, 0.57/0.88 X150:subst, 0.57/0.88 X152:subst]: 0.57/0.88 ( ( comp @ 0.57/0.88 ( comp @ 0.57/0.88 X148 @ X150 ) @ 0.57/0.88 X152 ) = 0.57/0.88 ( comp @ 0.57/0.88 X148 @ 0.57/0.88 ( comp @ 0.57/0.88 X150 @ X152 ) ) ) ) ) => 0.57/0.88 ( ( ( ![X154:term]: 0.57/0.88 ( ( sub @ 0.57/0.88 X154 @ id ) = 0.57/0.88 ( X154 ) ) ) & 0.57/0.88 ( ![X156:term, 0.57/0.88 X158:subst, 0.57/0.88 X160:subst]: 0.57/0.88 ( ( sub @ 0.57/0.88 ( sub @ 0.57/0.88 X156 @ 0.57/0.88 X158 ) @ 0.57/0.88 X160 ) = 0.57/0.88 ( sub @ 0.57/0.88 X156 @ 0.57/0.88 ( comp @ 0.57/0.88 X158 @ 0.57/0.88 X160 ) ) ) ) ) => 0.57/0.88 ( ( ![X162:term, 0.57/0.88 X164:term, 0.57/0.88 X166:term, 0.57/0.88 X168:term]: 0.57/0.88 ( ( ( ap @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X162 @ id ) @ 0.57/0.88 X166 ) = 0.57/0.88 ( ap @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X164 @ id ) @ 0.57/0.88 X168 ) ) => 0.57/0.88 ( ( X162 ) = 0.57/0.88 ( X164 ) ) ) ) => 0.57/0.88 ( ( ![X170:term, 0.57/0.88 X172:term, 0.57/0.88 X174:term, 0.57/0.88 X176:term]: 0.57/0.88 ( ( ( 0.57/0.88 ap @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X170 @ id ) @ 0.57/0.88 X174 ) = 0.57/0.88 ( 0.57/0.88 ap @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X172 @ id ) @ 0.57/0.88 X176 ) ) => 0.57/0.88 ( ( 0.57/0.88 X174 ) = 0.57/0.88 ( 0.57/0.88 X176 ) ) ) ) => 0.57/0.88 ( ( ![X178:( 0.57/0.88 subst > 0.57/0.88 term > 0.57/0.88 term )]: 0.57/0.88 ( ( 0.57/0.88 ![ 0.57/0.88 X180:subst, 0.57/0.88 X182:term, 0.57/0.88 X184:subst]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 ( 0.57/0.88 X178 @ 0.57/0.88 X180 @ 0.57/0.88 X182 ) @ 0.57/0.88 X184 ) = 0.57/0.88 ( 0.57/0.88 X178 @ 0.57/0.88 ( 0.57/0.88 comp @ 0.57/0.88 X180 @ 0.57/0.88 X184 ) @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X182 @ 0.57/0.88 X184 ) ) ) ) => 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X186:( 0.57/0.88 subst > 0.57/0.88 term > 0.57/0.88 term )]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X188:subst, 0.57/0.88 X190:term, 0.57/0.88 X192:subst]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 ( 0.57/0.88 X186 @ 0.57/0.88 X188 @ 0.57/0.88 X190 ) @ 0.57/0.88 X192 ) = 0.57/0.88 ( 0.57/0.88 X186 @ 0.57/0.88 ( 0.57/0.88 comp @ 0.57/0.88 X188 @ 0.57/0.88 X192 ) @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X190 @ 0.57/0.88 X192 ) ) ) ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 lam @ 0.57/0.88 ( 0.57/0.88 X178 @ 0.57/0.88 sh @ one ) ) = 0.57/0.88 ( 0.57/0.88 lam @ 0.57/0.88 ( 0.57/0.88 X186 @ 0.57/0.88 sh @ one ) ) ) => 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X194:subst, 0.57/0.88 X196:term]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 X178 @ 0.57/0.88 X194 @ 0.57/0.88 X196 ) = 0.57/0.88 ( 0.57/0.88 X186 @ 0.57/0.88 X194 @ 0.57/0.88 X196 ) ) ) ) ) ) ) ) => 0.57/0.88 ( ( ![ 0.57/0.88 X198:( 0.57/0.88 subst > 0.57/0.88 term > 0.57/0.88 term )]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X200:subst, 0.57/0.88 X202:term, 0.57/0.88 X204:subst]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 ( 0.57/0.88 X198 @ 0.57/0.88 X200 @ 0.57/0.88 X202 ) @ 0.57/0.88 X204 ) = 0.57/0.88 ( 0.57/0.88 X198 @ 0.57/0.88 ( 0.57/0.88 comp @ 0.57/0.88 X200 @ 0.57/0.88 X204 ) @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X202 @ 0.57/0.88 X204 ) ) ) ) => 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X206:term, 0.57/0.88 X208:term]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 lam @ 0.57/0.88 ( 0.57/0.88 X198 @ 0.57/0.88 sh @ one ) ) != 0.57/0.88 ( 0.57/0.88 ap @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X206 @ id ) @ 0.57/0.88 X208 ) ) ) ) ) => 0.57/0.88 ( ( 0.57/0.88 ![ 0.57/0.88 X210:( 0.57/0.88 subst > 0.57/0.88 term > 0.57/0.88 term )]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X212:subst, 0.57/0.88 X214:term, 0.57/0.88 X216:subst]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 ( 0.57/0.88 X210 @ 0.57/0.88 X212 @ 0.57/0.88 X214 ) @ 0.57/0.88 X216 ) = 0.57/0.88 ( 0.57/0.88 X210 @ 0.57/0.88 ( 0.57/0.88 comp @ 0.57/0.88 X212 @ 0.57/0.88 X216 ) @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X214 @ 0.57/0.88 X216 ) ) ) ) => 0.57/0.88 ( 0.57/0.88 ~( 0.57/0.88 var @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 ( 0.57/0.88 lam @ 0.57/0.88 ( 0.57/0.88 X210 @ 0.57/0.88 sh @ one ) ) @ 0.57/0.88 id ) ) ) ) ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X218:term, 0.57/0.88 X220:term]: 0.57/0.88 ( 0.57/0.88 ~( 0.57/0.88 var @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 ( 0.57/0.88 ap @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X218 @ id ) @ 0.57/0.88 X220 ) @ 0.57/0.88 id ) ) ) ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X222:( 0.57/0.88 subst > 0.57/0.88 term > 0.57/0.88 subst > $o )]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X224:subst, 0.57/0.88 X226:term, 0.57/0.88 X228:subst, 0.57/0.88 X230:subst]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 X222 @ 0.57/0.88 X224 @ 0.57/0.88 X226 @ 0.57/0.88 ( 0.57/0.88 comp @ 0.57/0.88 X230 @ 0.57/0.88 X228 ) ) => 0.57/0.88 ( 0.57/0.88 X222 @ 0.57/0.88 ( 0.57/0.88 comp @ 0.57/0.88 X224 @ 0.57/0.88 X230 ) @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X226 @ 0.57/0.88 X230 ) @ 0.57/0.88 X228 ) ) ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X232:subst, 0.57/0.88 X234:term, 0.57/0.88 X236:subst, 0.57/0.88 X238:subst]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 X222 @ 0.57/0.88 ( 0.57/0.88 comp @ 0.57/0.88 X232 @ 0.57/0.88 X238 ) @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X234 @ 0.57/0.88 X238 ) @ 0.57/0.88 X236 ) => 0.57/0.88 ( 0.57/0.88 X222 @ 0.57/0.88 X232 @ 0.57/0.88 X234 @ 0.57/0.88 ( 0.57/0.88 comp @ 0.57/0.88 X238 @ 0.57/0.88 X236 ) ) ) ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X240:term]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 var @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X240 @ id ) ) => 0.57/0.88 ( 0.57/0.88 X222 @ 0.57/0.88 id @ 0.57/0.88 X240 @ id ) ) ) => 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X242:term]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 var @ X242 ) => 0.57/0.88 ( 0.57/0.88 X222 @ 0.57/0.88 id @ 0.57/0.88 X242 @ id ) ) ) ) ) ) ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X244:( 0.57/0.88 subst > 0.57/0.88 term > 0.57/0.88 subst > $o )]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X246:subst, 0.57/0.88 X248:term, 0.57/0.88 X250:subst, 0.57/0.88 X252:subst]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 X244 @ 0.57/0.88 X246 @ 0.57/0.88 X248 @ 0.57/0.88 ( 0.57/0.88 comp @ 0.57/0.88 X252 @ 0.57/0.88 X250 ) ) => 0.57/0.88 ( 0.57/0.88 X244 @ 0.57/0.88 ( 0.57/0.88 comp @ 0.57/0.88 X246 @ 0.57/0.88 X252 ) @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X248 @ 0.57/0.88 X252 ) @ 0.57/0.88 X250 ) ) ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X254:subst, 0.57/0.88 X256:term, 0.57/0.88 X258:subst, 0.57/0.88 X260:subst]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 X244 @ 0.57/0.88 ( 0.57/0.88 comp @ 0.57/0.88 X254 @ 0.57/0.88 X260 ) @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X256 @ 0.57/0.88 X260 ) @ 0.57/0.88 X258 ) => 0.57/0.88 ( 0.57/0.88 X244 @ 0.57/0.88 X254 @ 0.57/0.88 X256 @ 0.57/0.88 ( 0.57/0.88 comp @ 0.57/0.88 X260 @ 0.57/0.88 X258 ) ) ) ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X262:term, 0.57/0.88 X264:term]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 X244 @ 0.57/0.88 id @ 0.57/0.88 X262 @ id ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 X244 @ 0.57/0.88 id @ 0.57/0.88 X264 @ id ) => 0.57/0.88 ( 0.57/0.88 X244 @ 0.57/0.88 id @ 0.57/0.88 ( 0.57/0.88 ap @ 0.57/0.88 ( 0.57/0.88 sub @ 0.57/0.88 X262 @ id ) @ 0.57/0.88 X264 ) @ 0.57/0.88 id ) ) ) ) => 0.57/0.88 ( 0.57/0.88 ![ 0.57/0.88 X266:term, 0.57/0.88 X268:term]: 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 X244 @ 0.57/0.88 id @ 0.57/0.88 X266 @ id ) => 0.57/0.88 ( 0.57/0.88 ( 0.57/0.88 X244 @ 0.57/0.88 id @ 0.57/0.88 X268 @ id ) => 0.57/0.88 ( 0.57/0.88 X244 @ 0.57/0.88 id @ 0.57/0.88 ( 0.57/0.88 ap @ 0.57/0.88 X266 @ 0.57/0.88 X268 ) @ 0.57/0.89 id ) ) ) ) ) ) ) ) => 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X270:term]: 0.57/0.89 ( 0.57/0.89 ?[ 0.57/0.89 X272:( 0.57/0.89 subst > 0.57/0.89 term > 0.57/0.89 term )]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X270 @ 0.57/0.89 ( 0.57/0.89 push @ 0.57/0.89 one @ sh ) ) = 0.57/0.89 ( 0.57/0.89 X272 @ 0.57/0.89 sh @ one ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 0.57/0.89 thf(zf_stmt_1, negated_conjecture, 0.57/0.89 (~( ( ![X4:term,X6:term,X8:subst]: 0.57/0.89 ( ( sub @ ( ap @ X4 @ X6 ) @ X8 ) = 0.57/0.89 ( ap @ ( sub @ X4 @ X8 ) @ ( sub @ X6 @ X8 ) ) ) ) => 0.57/0.89 ( ( ![X10:term,X12:subst]: 0.57/0.89 ( ( sub @ one @ ( push @ X10 @ X12 ) ) = ( X10 ) ) ) => 0.57/0.89 ( ( ![X14:term]: ( ( sub @ X14 @ id ) = ( X14 ) ) ) => 0.57/0.89 ( ( ![X16:term,X18:subst]: 0.57/0.89 ( ( sub @ ( lam @ X16 ) @ X18 ) = 0.57/0.89 ( lam @ ( sub @ X16 @ ( push @ one @ ( comp @ X18 @ sh ) ) ) ) ) ) => 0.57/0.89 ( ( ![X20:term,X22:subst,X24:subst]: 0.57/0.89 ( ( sub @ ( sub @ X20 @ X22 ) @ X24 ) = 0.57/0.89 ( sub @ X20 @ ( comp @ X22 @ X24 ) ) ) ) => 0.57/0.89 ( ( ![X26:subst]: ( ( comp @ id @ X26 ) = ( X26 ) ) ) => 0.57/0.89 ( ( ![X28:term,X30:subst]: 0.57/0.89 ( ( comp @ sh @ ( push @ X28 @ X30 ) ) = ( X30 ) ) ) => 0.57/0.89 ( ( ![X32:subst,X34:subst,X36:subst]: 0.57/0.89 ( ( comp @ ( comp @ X32 @ X34 ) @ X36 ) = 0.57/0.89 ( comp @ X32 @ ( comp @ X34 @ X36 ) ) ) ) => 0.57/0.89 ( ( ![X38:term,X40:subst,X42:subst]: 0.57/0.89 ( ( comp @ ( push @ X38 @ X40 ) @ X42 ) = 0.57/0.89 ( push @ ( sub @ X38 @ X42 ) @ ( comp @ X40 @ X42 ) ) ) ) => 0.57/0.89 ( ( ![X44:subst]: ( ( comp @ X44 @ id ) = ( X44 ) ) ) => 0.57/0.89 ( ( ( push @ one @ sh ) = ( id ) ) => 0.57/0.89 ( ( ![X46:subst]: 0.57/0.89 ( ( push @ 0.57/0.89 ( sub @ one @ X46 ) @ ( comp @ sh @ X46 ) ) = 0.57/0.89 ( X46 ) ) ) => 0.57/0.89 ( ( var @ one ) => 0.57/0.89 ( ( ![X48:term]: 0.57/0.89 ( ( var @ X48 ) => 0.57/0.89 ( var @ ( sub @ X48 @ sh ) ) ) ) => 0.57/0.89 ( ( ![X50:( term > $o )]: 0.57/0.89 ( ( X50 @ one ) => 0.57/0.89 ( ( ![X52:term]: 0.57/0.89 ( ( var @ X52 ) => 0.57/0.89 ( ( X50 @ X52 ) => 0.57/0.89 ( X50 @ ( sub @ X52 @ sh ) ) ) ) ) => 0.57/0.89 ( ![X54:term]: 0.57/0.89 ( ( var @ X54 ) => ( X50 @ X54 ) ) ) ) ) ) => 0.57/0.89 ( ( ![X56:term,X58:term,X60:term,X62:term]: 0.57/0.89 ( ( ( ap @ X56 @ X60 ) = 0.57/0.89 ( ap @ X58 @ X62 ) ) => 0.57/0.89 ( ( X56 ) = ( X58 ) ) ) ) => 0.57/0.89 ( ( ![X64:term,X66:term,X68:term,X70:term]: 0.57/0.89 ( ( ( ap @ X64 @ X68 ) = 0.57/0.89 ( ap @ X66 @ X70 ) ) => 0.57/0.89 ( ( X68 ) = ( X70 ) ) ) ) => 0.57/0.89 ( ( ![X72:term,X74:term]: 0.57/0.89 ( ( ( lam @ X72 ) = ( lam @ X74 ) ) => 0.57/0.89 ( ( X72 ) = ( X74 ) ) ) ) => 0.57/0.89 ( ( ![X76:term,X78:term]: 0.57/0.89 ( ( ( sub @ X76 @ sh ) = 0.57/0.89 ( sub @ X78 @ sh ) ) => 0.57/0.89 ( ( X76 ) = ( X78 ) ) ) ) => 0.57/0.89 ( ( ![X80:term,X82:term,X84:term]: 0.57/0.89 ( ( lam @ X80 ) != 0.57/0.89 ( ap @ X82 @ X84 ) ) ) => 0.57/0.89 ( ( ![X86:term,X88:term]: 0.57/0.89 ( ~( var @ ( ap @ X86 @ X88 ) ) ) ) => 0.57/0.89 ( ( ![X90:term]: 0.57/0.89 ( ~( var @ ( lam @ X90 ) ) ) ) => 0.57/0.89 ( ( ![X92:( term > $o )]: 0.57/0.89 ( ( ![X94:term]: 0.57/0.89 ( ( var @ X94 ) => 0.57/0.89 ( X92 @ X94 ) ) ) => 0.57/0.89 ( ( ![X96:term,X98:term]: 0.57/0.89 ( ( X92 @ X96 ) => 0.57/0.89 ( ( X92 @ X98 ) => 0.57/0.89 ( X92 @ 0.57/0.89 ( ap @ 0.57/0.89 X96 @ X98 ) ) ) ) ) => 0.57/0.89 ( ( ![X100:term]: 0.57/0.89 ( ( X92 @ X100 ) => 0.57/0.89 ( X92 @ 0.57/0.89 ( lam @ X100 ) ) ) ) => 0.57/0.89 ( ![X102:term]: 0.57/0.89 ( X92 @ X102 ) ) ) ) ) ) => 0.57/0.89 ( ( ![X104:( term > $o ), 0.57/0.89 X106:term,X108:subst]: 0.57/0.89 ( ( ![X110:term]: 0.57/0.89 ( ( var @ X110 ) => 0.57/0.89 ( X104 @ 0.57/0.89 ( sub @ 0.57/0.89 X110 @ X108 ) ) ) ) => 0.57/0.89 ( ( X104 @ X106 ) => 0.57/0.89 ( ![X112:term]: 0.57/0.89 ( ( var @ X112 ) => 0.57/0.89 ( X104 @ 0.57/0.89 ( sub @ 0.57/0.89 X112 @ 0.57/0.89 ( push @ 0.57/0.89 X106 @ 0.57/0.89 X108 ) ) ) ) ) ) ) ) => 0.57/0.89 ( ( ![X114:( term > $o )]: 0.57/0.89 ( ( ![X116:term, 0.57/0.89 X118:term]: 0.57/0.89 ( ( X114 @ X116 ) => 0.57/0.89 ( ( X114 @ X118 ) => 0.57/0.89 ( X114 @ 0.57/0.89 ( ap @ 0.57/0.89 X116 @ 0.57/0.89 X118 ) ) ) ) ) => 0.57/0.89 ( ( ![X120:term]: 0.57/0.89 ( ( ![X122:term]: 0.57/0.89 ( ( 0.57/0.89 X114 @ 0.57/0.89 X122 ) => 0.57/0.89 ( 0.57/0.89 X114 @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X120 @ 0.57/0.89 ( 0.57/0.89 push @ 0.57/0.89 X122 @ id ) ) ) ) ) => 0.57/0.89 ( X114 @ 0.57/0.89 ( lam @ 0.57/0.89 X120 ) ) ) ) => 0.57/0.89 ( ![X124:term, 0.57/0.89 X126:subst]: 0.57/0.89 ( ( ![X128:term]: 0.57/0.89 ( ( 0.57/0.89 var @ 0.57/0.89 X128 ) => 0.57/0.89 ( 0.57/0.89 X114 @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X128 @ 0.57/0.89 X126 ) ) ) ) => 0.57/0.89 ( X114 @ 0.57/0.89 ( sub @ 0.57/0.89 X124 @ 0.57/0.89 X126 ) ) ) ) ) ) ) => 0.57/0.89 ( ( ![X130:( term > $o )]: 0.57/0.89 ( ( ![X132:term]: 0.57/0.89 ( ( var @ X132 ) => 0.57/0.89 ( X130 @ X132 ) ) ) => 0.57/0.89 ( ( ![X134:term, 0.57/0.89 X136:term]: 0.57/0.89 ( ( X130 @ 0.57/0.89 X134 ) => 0.57/0.89 ( ( 0.57/0.89 X130 @ 0.57/0.89 X136 ) => 0.57/0.89 ( 0.57/0.89 X130 @ 0.57/0.89 ( 0.57/0.89 ap @ 0.57/0.89 X134 @ 0.57/0.89 X136 ) ) ) ) ) => 0.57/0.89 ( ( ![X138:term]: 0.57/0.89 ( ( 0.57/0.89 ![ 0.57/0.89 X140:term]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 X130 @ 0.57/0.89 X140 ) => 0.57/0.89 ( 0.57/0.89 X130 @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X138 @ 0.57/0.89 ( 0.57/0.89 push @ 0.57/0.89 X140 @ id ) ) ) ) ) => 0.57/0.89 ( 0.57/0.89 X130 @ 0.57/0.89 ( 0.57/0.89 lam @ 0.57/0.89 X138 ) ) ) ) => 0.57/0.89 ( ![X142:term]: 0.57/0.89 ( X130 @ 0.57/0.89 X142 ) ) ) ) ) ) => 0.57/0.89 ( ( ( ![X144:subst]: 0.57/0.89 ( ( comp @ 0.57/0.89 X144 @ id ) = 0.57/0.89 ( X144 ) ) ) & 0.57/0.89 ( ![X146:subst]: 0.57/0.89 ( ( comp @ 0.57/0.89 id @ X146 ) = 0.57/0.89 ( X146 ) ) ) & 0.57/0.89 ( ![X148:subst, 0.57/0.89 X150:subst, 0.57/0.89 X152:subst]: 0.57/0.89 ( ( comp @ 0.57/0.89 ( comp @ 0.57/0.89 X148 @ 0.57/0.89 X150 ) @ 0.57/0.89 X152 ) = 0.57/0.89 ( comp @ 0.57/0.89 X148 @ 0.57/0.89 ( comp @ 0.57/0.89 X150 @ 0.57/0.89 X152 ) ) ) ) ) => 0.57/0.89 ( ( ( ![X154:term]: 0.57/0.89 ( ( sub @ 0.57/0.89 X154 @ id ) = 0.57/0.89 ( X154 ) ) ) & 0.57/0.89 ( ![X156:term, 0.57/0.89 X158:subst, 0.57/0.89 X160:subst]: 0.57/0.89 ( ( sub @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X156 @ 0.57/0.89 X158 ) @ 0.57/0.89 X160 ) = 0.57/0.89 ( sub @ 0.57/0.89 X156 @ 0.57/0.89 ( 0.57/0.89 comp @ 0.57/0.89 X158 @ 0.57/0.89 X160 ) ) ) ) ) => 0.57/0.89 ( ( ![X162:term, 0.57/0.89 X164:term, 0.57/0.89 X166:term, 0.57/0.89 X168:term]: 0.57/0.89 ( ( ( 0.57/0.89 ap @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X162 @ id ) @ 0.57/0.89 X166 ) = 0.57/0.89 ( 0.57/0.89 ap @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X164 @ id ) @ 0.57/0.89 X168 ) ) => 0.57/0.89 ( ( 0.57/0.89 X162 ) = 0.57/0.89 ( 0.57/0.89 X164 ) ) ) ) => 0.57/0.89 ( ( ![X170:term, 0.57/0.89 X172:term, 0.57/0.89 X174:term, 0.57/0.89 X176:term]: 0.57/0.89 ( ( 0.57/0.89 ( 0.57/0.89 ap @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X170 @ id ) @ 0.57/0.89 X174 ) = 0.57/0.89 ( 0.57/0.89 ap @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X172 @ id ) @ 0.57/0.89 X176 ) ) => 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 X174 ) = 0.57/0.89 ( 0.57/0.89 X176 ) ) ) ) => 0.57/0.89 ( ( ![ 0.57/0.89 X178:( 0.57/0.89 subst > 0.57/0.89 term > 0.57/0.89 term )]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X180:subst, 0.57/0.89 X182:term, 0.57/0.89 X184:subst]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 ( 0.57/0.89 X178 @ 0.57/0.89 X180 @ 0.57/0.89 X182 ) @ 0.57/0.89 X184 ) = 0.57/0.89 ( 0.57/0.89 X178 @ 0.57/0.89 ( 0.57/0.89 comp @ 0.57/0.89 X180 @ 0.57/0.89 X184 ) @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X182 @ 0.57/0.89 X184 ) ) ) ) => 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X186:( 0.57/0.89 subst > 0.57/0.89 term > 0.57/0.89 term )]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X188:subst, 0.57/0.89 X190:term, 0.57/0.89 X192:subst]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 ( 0.57/0.89 X186 @ 0.57/0.89 X188 @ 0.57/0.89 X190 ) @ 0.57/0.89 X192 ) = 0.57/0.89 ( 0.57/0.89 X186 @ 0.57/0.89 ( 0.57/0.89 comp @ 0.57/0.89 X188 @ 0.57/0.89 X192 ) @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X190 @ 0.57/0.89 X192 ) ) ) ) => 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 lam @ 0.57/0.89 ( 0.57/0.89 X178 @ 0.57/0.89 sh @ one ) ) = 0.57/0.89 ( 0.57/0.89 lam @ 0.57/0.89 ( 0.57/0.89 X186 @ 0.57/0.89 sh @ one ) ) ) => 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X194:subst, 0.57/0.89 X196:term]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 X178 @ 0.57/0.89 X194 @ 0.57/0.89 X196 ) = 0.57/0.89 ( 0.57/0.89 X186 @ 0.57/0.89 X194 @ 0.57/0.89 X196 ) ) ) ) ) ) ) ) => 0.57/0.89 ( ( 0.57/0.89 ![ 0.57/0.89 X198:( 0.57/0.89 subst > 0.57/0.89 term > 0.57/0.89 term )]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X200:subst, 0.57/0.89 X202:term, 0.57/0.89 X204:subst]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 ( 0.57/0.89 X198 @ 0.57/0.89 X200 @ 0.57/0.89 X202 ) @ 0.57/0.89 X204 ) = 0.57/0.89 ( 0.57/0.89 X198 @ 0.57/0.89 ( 0.57/0.89 comp @ 0.57/0.89 X200 @ 0.57/0.89 X204 ) @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X202 @ 0.57/0.89 X204 ) ) ) ) => 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X206:term, 0.57/0.89 X208:term]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 lam @ 0.57/0.89 ( 0.57/0.89 X198 @ 0.57/0.89 sh @ one ) ) != 0.57/0.89 ( 0.57/0.89 ap @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X206 @ id ) @ 0.57/0.89 X208 ) ) ) ) ) => 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X210:( 0.57/0.89 subst > 0.57/0.89 term > 0.57/0.89 term )]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X212:subst, 0.57/0.89 X214:term, 0.57/0.89 X216:subst]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 ( 0.57/0.89 X210 @ 0.57/0.89 X212 @ 0.57/0.89 X214 ) @ 0.57/0.89 X216 ) = 0.57/0.89 ( 0.57/0.89 X210 @ 0.57/0.89 ( 0.57/0.89 comp @ 0.57/0.89 X212 @ 0.57/0.89 X216 ) @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X214 @ 0.57/0.89 X216 ) ) ) ) => 0.57/0.89 ( 0.57/0.89 ~ 0.57/0.89 ( 0.57/0.89 var @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 ( 0.57/0.89 lam @ 0.57/0.89 ( 0.57/0.89 X210 @ 0.57/0.89 sh @ one ) ) @ 0.57/0.89 id ) ) ) ) ) => 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X218:term, 0.57/0.89 X220:term]: 0.57/0.89 ( 0.57/0.89 ~ 0.57/0.89 ( 0.57/0.89 var @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 ( 0.57/0.89 ap @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X218 @ id ) @ 0.57/0.89 X220 ) @ 0.57/0.89 id ) ) ) ) => 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X222:( 0.57/0.89 subst > 0.57/0.89 term > 0.57/0.89 subst > 0.57/0.89 $o )]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X224:subst, 0.57/0.89 X226:term, 0.57/0.89 X228:subst, 0.57/0.89 X230:subst]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 X222 @ 0.57/0.89 X224 @ 0.57/0.89 X226 @ 0.57/0.89 ( 0.57/0.89 comp @ 0.57/0.89 X230 @ 0.57/0.89 X228 ) ) => 0.57/0.89 ( 0.57/0.89 X222 @ 0.57/0.89 ( 0.57/0.89 comp @ 0.57/0.89 X224 @ 0.57/0.89 X230 ) @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X226 @ 0.57/0.89 X230 ) @ 0.57/0.89 X228 ) ) ) => 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X232:subst, 0.57/0.89 X234:term, 0.57/0.89 X236:subst, 0.57/0.89 X238:subst]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 X222 @ 0.57/0.89 ( 0.57/0.89 comp @ 0.57/0.89 X232 @ 0.57/0.89 X238 ) @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X234 @ 0.57/0.89 X238 ) @ 0.57/0.89 X236 ) => 0.57/0.89 ( 0.57/0.89 X222 @ 0.57/0.89 X232 @ 0.57/0.89 X234 @ 0.57/0.89 ( 0.57/0.89 comp @ 0.57/0.89 X238 @ 0.57/0.89 X236 ) ) ) ) => 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X240:term]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 var @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X240 @ id ) ) => 0.57/0.89 ( 0.57/0.89 X222 @ 0.57/0.89 id @ 0.57/0.89 X240 @ id ) ) ) => 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X242:term]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 var @ 0.57/0.89 X242 ) => 0.57/0.89 ( 0.57/0.89 X222 @ 0.57/0.89 id @ 0.57/0.89 X242 @ id ) ) ) ) ) ) ) => 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X244:( 0.57/0.89 subst > 0.57/0.89 term > 0.57/0.89 subst > 0.57/0.89 $o )]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X246:subst, 0.57/0.89 X248:term, 0.57/0.89 X250:subst, 0.57/0.89 X252:subst]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 X244 @ 0.57/0.89 X246 @ 0.57/0.89 X248 @ 0.57/0.89 ( 0.57/0.89 comp @ 0.57/0.89 X252 @ 0.57/0.89 X250 ) ) => 0.57/0.89 ( 0.57/0.89 X244 @ 0.57/0.89 ( 0.57/0.89 comp @ 0.57/0.89 X246 @ 0.57/0.89 X252 ) @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X248 @ 0.57/0.89 X252 ) @ 0.57/0.89 X250 ) ) ) => 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X254:subst, 0.57/0.89 X256:term, 0.57/0.89 X258:subst, 0.57/0.89 X260:subst]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 X244 @ 0.57/0.89 ( 0.57/0.89 comp @ 0.57/0.89 X254 @ 0.57/0.89 X260 ) @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X256 @ 0.57/0.89 X260 ) @ 0.57/0.89 X258 ) => 0.57/0.89 ( 0.57/0.89 X244 @ 0.57/0.89 X254 @ 0.57/0.89 X256 @ 0.57/0.89 ( 0.57/0.89 comp @ 0.57/0.89 X260 @ 0.57/0.89 X258 ) ) ) ) => 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X262:term, 0.57/0.89 X264:term]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 X244 @ 0.57/0.89 id @ 0.57/0.89 X262 @ id ) => 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 X244 @ 0.57/0.89 id @ 0.57/0.89 X264 @ id ) => 0.57/0.89 ( 0.57/0.89 X244 @ 0.57/0.89 id @ 0.57/0.89 ( 0.57/0.89 ap @ 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X262 @ id ) @ 0.57/0.89 X264 ) @ 0.57/0.89 id ) ) ) ) => 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X266:term, 0.57/0.89 X268:term]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 X244 @ 0.57/0.89 id @ 0.57/0.89 X266 @ id ) => 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 X244 @ 0.57/0.89 id @ 0.57/0.89 X268 @ id ) => 0.57/0.89 ( 0.57/0.89 X244 @ 0.57/0.89 id @ 0.57/0.89 ( 0.57/0.89 ap @ 0.57/0.89 X266 @ 0.57/0.89 X268 ) @ 0.57/0.89 id ) ) ) ) ) ) ) ) => 0.57/0.89 ( 0.57/0.89 ![ 0.57/0.89 X270:term]: 0.57/0.89 ( 0.57/0.89 ?[ 0.57/0.89 X272:( 0.57/0.89 subst > 0.57/0.89 term > 0.57/0.89 term )]: 0.57/0.89 ( 0.57/0.89 ( 0.57/0.89 sub @ 0.57/0.89 X270 @ 0.57/0.89 ( 0.57/0.89 push @ 0.57/0.89 one @ sh ) ) = 0.57/0.89 ( 0.57/0.89 X272 @ 0.57/0.89 sh @ one ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 0.57/0.89 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 0.57/0.89 thf(zip_derived_cl51, plain, 0.57/0.89 (![X44 : subst > term > term]: 0.57/0.89 ((sub @ sk__171 @ (push @ one @ sh)) != (X44 @ sh @ one))), 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_1])). 0.57/0.89 thf(zip_derived_cl5, plain, (((push @ one @ sh) = (id))), 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_1])). 0.57/0.89 thf(zip_derived_cl1, plain, (![X3 : term]: ((sub @ X3 @ id) = (X3))), 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_1])). 0.57/0.89 thf(zip_derived_cl318, plain, 0.57/0.89 (![X44 : subst > term > term]: ((sk__171) != (X44 @ sh @ one))), 0.57/0.89 inference('demod', [status(thm)], 0.57/0.89 [zip_derived_cl51, zip_derived_cl5, zip_derived_cl1])). 0.57/0.89 thf(zip_derived_cl319, plain, 0.57/0.89 (![X44 : term]: 0.57/0.89 ((sk__171) != ((^[Y0 : subst,Y1 : term]: (X44)) @ sh @ one))), 0.57/0.89 inference('prune_arg_fun', [status(thm)], [zip_derived_cl318])). 0.57/0.89 thf(zip_derived_cl320, plain, (![X44 : term]: ((sk__171) != (X44))), 0.57/0.89 inference('ho_norm', [status(thm)], [zip_derived_cl319])). 0.57/0.89 thf(zip_derived_cl321, plain, ($false), 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl320])). 0.57/0.89 0.57/0.89 % SZS output end Refutation 0.57/0.89 0.57/0.89 0.57/0.89 % Terminating... 0.61/0.97 % Runner terminated. 1.91/0.99 % Zipperpin 1.5 exiting 1.91/0.99 EOF