0.09/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5FBCI23gGw true 0.14/0.36 % Computer : n005.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 960 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Aug 9 03:14:04 EDT 2022 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 960 s 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.37 % Running in HO mode 0.55/0.69 % Total configuration time : 828 0.55/0.69 % Estimated wc time : 1656 0.55/0.69 % Estimated cpu time (8 cpus) : 207.0 0.57/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.57/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.57/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.57/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.57/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.57/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.57/0.82 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 57.52/10.40 % Solved by lams/20_acsne_simpl.sh. 57.52/10.40 % done 127 iterations in 9.409s 57.52/10.40 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 57.52/10.40 % SZS output start Refutation 57.52/10.40 thf(p_type, type, p: $o). 57.52/10.40 thf('#form380_type', type, '#form380': (($i > $o) > ($i > $o) > $i > $o) > 57.52/10.40 (($i > $o) > ($i > $o) > $i > $o) > $o). 57.52/10.40 thf('#sk507_type', type, '#sk507': (($i > $o) > ($i > $o) > $i > $o) > 57.52/10.40 (($i > $o) > ($i > $o) > $i > $o) > $i). 57.52/10.40 thf('#sk105_type', type, '#sk105': (($i > $o) > ($i > $o) > $i > $o) > 57.52/10.40 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 57.52/10.40 thf('#sk381_type', type, '#sk381': (($i > $o) > ($i > $o) > $i > $o) > 57.52/10.40 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 57.52/10.40 thf('#sk148_type', type, '#sk148': (($i > $o) > ($i > $o) > $i > $o) > 57.52/10.40 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 57.52/10.40 thf('#sk211_type', type, '#sk211': (($i > $o) > ($i > $o) > $i > $o) > 57.52/10.40 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 57.52/10.40 thf('#sk474_type', type, '#sk474': (($i > $o) > ($i > $o) > $i > $o) > 57.52/10.40 (($i > $o) > ($i > $o) > $i > $o) > $i). 57.52/10.40 thf(cTHM120E_pme, conjecture, 57.52/10.40 (?[Xr_28:( ( $i > $o ) > ( $i > $o ) > $i > $o ), 57.52/10.40 Xr_27:( ( $i > $o ) > ( $i > $o ) > $i > $o )]: 57.52/10.40 ( ( ~( ![Xw_2:$i]: 57.52/10.40 ( ( Xr_28 @ 57.52/10.40 ( ^[Xx:$i]: ( ( p ) | ( ~( p ) ) ) ) @ 57.52/10.40 ( ^[Xx:$i]: ( ( ~( p ) ) & ( p ) ) ) @ Xw_2 ) | 57.52/10.40 ( Xr_27 @ 57.52/10.40 ( ^[Xx:$i]: ( ( ~( p ) ) | ( p ) ) ) @ 57.52/10.40 ( ^[Xx:$i]: ( ( ~( p ) ) & ( p ) ) ) @ Xw_2 ) ) ) ) & 57.52/10.40 ( ![Xx:( $i > $o ),Xy:( $i > $o ),Xz:( $i > $o )]: 57.52/10.40 ( ( ( ![Xw_2:$i]: 57.52/10.40 ( ( Xr_27 @ Xy @ Xz @ Xw_2 ) | ( Xr_28 @ Xy @ Xz @ Xw_2 ) ) ) & 57.52/10.40 ( ![Xw_2:$i]: 57.52/10.40 ( ( Xr_28 @ Xx @ Xy @ Xw_2 ) | ( Xr_27 @ Xx @ Xy @ Xw_2 ) ) ) ) => 57.52/10.40 ( ![Xw_2:$i]: 57.52/10.40 ( ( Xr_27 @ Xx @ Xz @ Xw_2 ) | ( Xr_28 @ Xx @ Xz @ Xw_2 ) ) ) ) ) & 57.52/10.40 ( ![Xx:( $i > $o ),Xw_2:$i]: 57.52/10.40 ( ( Xr_28 @ Xx @ Xx @ Xw_2 ) | ( Xr_27 @ Xx @ Xx @ Xw_2 ) ) ) ))). 57.52/10.40 thf(zf_stmt_0, negated_conjecture, 57.52/10.40 (~( ?[Xr_28:( ( $i > $o ) > ( $i > $o ) > $i > $o ), 57.52/10.40 Xr_27:( ( $i > $o ) > ( $i > $o ) > $i > $o )]: 57.52/10.40 ( ( ~( ![Xw_2:$i]: 57.52/10.40 ( ( Xr_28 @ 57.52/10.40 ( ^[Xx:$i]: ( ( p ) | ( ~( p ) ) ) ) @ 57.52/10.40 ( ^[Xx:$i]: ( ( ~( p ) ) & ( p ) ) ) @ Xw_2 ) | 57.52/10.40 ( Xr_27 @ 57.52/10.40 ( ^[Xx:$i]: ( ( ~( p ) ) | ( p ) ) ) @ 57.52/10.40 ( ^[Xx:$i]: ( ( ~( p ) ) & ( p ) ) ) @ Xw_2 ) ) ) ) & 57.52/10.40 ( ![Xx:( $i > $o ),Xy:( $i > $o ),Xz:( $i > $o )]: 57.52/10.40 ( ( ( ![Xw_2:$i]: 57.52/10.40 ( ( Xr_27 @ Xy @ Xz @ Xw_2 ) | ( Xr_28 @ Xy @ Xz @ Xw_2 ) ) ) & 57.52/10.40 ( ![Xw_2:$i]: 57.52/10.40 ( ( Xr_28 @ Xx @ Xy @ Xw_2 ) | ( Xr_27 @ Xx @ Xy @ Xw_2 ) ) ) ) => 57.52/10.40 ( ![Xw_2:$i]: 57.52/10.40 ( ( Xr_27 @ Xx @ Xz @ Xw_2 ) | ( Xr_28 @ Xx @ Xz @ Xw_2 ) ) ) ) ) & 57.52/10.40 ( ![Xx:( $i > $o ),Xw_2:$i]: 57.52/10.40 ( ( Xr_28 @ Xx @ Xx @ Xw_2 ) | ( Xr_27 @ Xx @ Xx @ Xw_2 ) ) ) ) )), 57.52/10.40 inference('cnf.neg', [status(esa)], [cTHM120E_pme])). 57.52/10.40 thf(zip_derived_cl0, plain, 57.52/10.40 (~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 (((??) @ (^[Y1 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 (((((~) @ (((!!) @ (^[Y2 : $i]: 57.52/10.40 (((Y0 @ 57.52/10.40 (^[Y3 : $i]: 57.52/10.40 (((p) | (((~) @ p))))) @ 57.52/10.40 (^[Y3 : $i]: 57.52/10.40 (((((~) @ p)) & (p)))) @ 57.52/10.40 Y2) | (Y1 @ 57.52/10.40 (^[Y3 : $i]: 57.52/10.40 (((((~) @ p)) | (p)))) @ 57.52/10.40 (^[Y3 : $i]: 57.52/10.40 (((((~) @ p)) & (p)))) @ 57.52/10.40 Y2)))))))) & 57.52/10.40 (((!!) @ (^[Y2 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y3 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y4 : $i > $o]: 57.52/10.40 (( 57.52/10.40 (( 57.52/10.40 (( 57.52/10.40 (!!) @ ( 57.52/10.40 ^[Y5 : $i]: 57.52/10.40 (( 57.52/10.40 (Y1 @ 57.52/10.40 Y3 @ 57.52/10.40 Y4 @ 57.52/10.40 Y5) | 57.52/10.40 (Y0 @ 57.52/10.40 Y3 @ 57.52/10.40 Y4 @ Y5)))))) & 57.52/10.40 (( 57.52/10.40 (!!) @ ( 57.52/10.40 ^[Y5 : $i]: 57.52/10.40 (( 57.52/10.40 (Y0 @ 57.52/10.40 Y2 @ 57.52/10.40 Y3 @ 57.52/10.40 Y5) | 57.52/10.40 (Y1 @ 57.52/10.40 Y2 @ 57.52/10.40 Y3 @ Y5)))))))) => 57.52/10.40 (( 57.52/10.40 (!!) @ ( 57.52/10.40 ^[Y5 : $i]: 57.52/10.40 (( 57.52/10.40 (Y1 @ 57.52/10.40 Y2 @ 57.52/10.40 Y4 @ 57.52/10.40 Y5) | 57.52/10.40 (Y0 @ 57.52/10.40 Y2 @ 57.52/10.40 Y4 @ Y5))))))))))))))))) & 57.52/10.40 (((!!) @ (^[Y2 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y3 : $i]: 57.52/10.40 (((Y0 @ Y2 @ Y2 @ 57.52/10.40 Y3) | (Y1 @ Y2 @ 57.52/10.40 Y2 @ Y3)))))))))))))))))), 57.52/10.40 inference('cnf', [status(esa)], [zf_stmt_0])). 57.52/10.40 thf(zip_derived_cl1, plain, 57.52/10.40 (~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 (((??) @ (^[Y1 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 (((((~) @ (((!!) @ (^[Y2 : $i]: 57.52/10.40 (((Y0 @ 57.52/10.40 (^[Y3 : $i]: ($true)) @ 57.52/10.40 (^[Y3 : $i]: ($false)) @ 57.52/10.40 Y2) | (Y1 @ 57.52/10.40 (^[Y3 : $i]: ($true)) @ 57.52/10.40 (^[Y3 : $i]: ($false)) @ 57.52/10.40 Y2)))))))) & 57.52/10.40 (((!!) @ (^[Y2 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y3 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y4 : $i > $o]: 57.52/10.40 (( 57.52/10.40 (( 57.52/10.40 (( 57.52/10.40 (!!) @ ( 57.52/10.40 ^[Y5 : $i]: 57.52/10.40 (( 57.52/10.40 (Y1 @ 57.52/10.40 Y3 @ 57.52/10.40 Y4 @ 57.52/10.40 Y5) | 57.52/10.40 (Y0 @ 57.52/10.40 Y3 @ 57.52/10.40 Y4 @ Y5)))))) & 57.52/10.40 (( 57.52/10.40 (!!) @ ( 57.52/10.40 ^[Y5 : $i]: 57.52/10.40 (( 57.52/10.40 (Y0 @ 57.52/10.40 Y2 @ 57.52/10.40 Y3 @ 57.52/10.40 Y5) | 57.52/10.40 (Y1 @ 57.52/10.40 Y2 @ 57.52/10.40 Y3 @ Y5)))))))) => 57.52/10.40 (( 57.52/10.40 (!!) @ ( 57.52/10.40 ^[Y5 : $i]: 57.52/10.40 (( 57.52/10.40 (Y1 @ 57.52/10.40 Y2 @ 57.52/10.40 Y4 @ 57.52/10.40 Y5) | 57.52/10.40 (Y0 @ 57.52/10.40 Y2 @ 57.52/10.40 Y4 @ Y5))))))))))))))))) & 57.52/10.40 (((!!) @ (^[Y2 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y3 : $i]: 57.52/10.40 (((Y0 @ Y2 @ Y2 @ 57.52/10.40 Y3) | (Y1 @ Y2 @ 57.52/10.40 Y2 @ Y3)))))))))))))))))), 57.52/10.40 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl0])). 57.52/10.40 thf(zip_derived_cl2, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 ~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 (((((~) @ (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ (^[Y2 : $i]: ($true)) @ 57.52/10.40 (^[Y2 : $i]: ($false)) @ Y1) | 57.52/10.40 (Y0 @ (^[Y2 : $i]: ($true)) @ 57.52/10.40 (^[Y2 : $i]: ($false)) @ Y1)))))))) & 57.52/10.40 (((!!) @ (^[Y1 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y2 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y3 : $i > $o]: 57.52/10.40 (((((((!!) @ ( 57.52/10.40 ^[Y4 : $i]: 57.52/10.40 (( 57.52/10.40 (Y0 @ 57.52/10.40 Y2 @ 57.52/10.40 Y3 @ 57.52/10.40 Y4) | 57.52/10.40 (X2 @ 57.52/10.40 Y2 @ 57.52/10.40 Y3 @ Y4)))))) & 57.52/10.40 (((!!) @ ( 57.52/10.40 ^[Y4 : $i]: 57.52/10.40 (( 57.52/10.40 (X2 @ 57.52/10.40 Y1 @ 57.52/10.40 Y2 @ 57.52/10.40 Y4) | 57.52/10.40 (Y0 @ 57.52/10.40 Y1 @ 57.52/10.40 Y2 @ Y4)))))))) => 57.52/10.40 (((!!) @ ( 57.52/10.40 ^[Y4 : $i]: 57.52/10.40 (((Y0 @ 57.52/10.40 Y1 @ Y3 @ 57.52/10.40 Y4) | 57.52/10.40 (X2 @ 57.52/10.40 Y1 @ Y3 @ 57.52/10.40 Y4))))))))))))))))) & 57.52/10.40 (((!!) @ (^[Y1 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y2 : $i]: 57.52/10.40 (((X2 @ Y1 @ Y1 @ Y2) | (Y0 @ 57.52/10.40 Y1 @ Y1 @ Y2))))))))))))))), 57.52/10.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 57.52/10.40 thf(zip_derived_cl3, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X2 @ (^[Y1 : $i]: ($true)) @ 57.52/10.40 (^[Y1 : $i]: ($false)) @ Y0) | (X4 @ 57.52/10.40 (^[Y1 : $i]: ($true)) @ 57.52/10.40 (^[Y1 : $i]: ($false)) @ Y0)))))))) & 57.52/10.40 (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y2 : $i > $o]: 57.52/10.40 (((((((!!) @ (^[Y3 : $i]: 57.52/10.40 (((X4 @ Y1 @ 57.52/10.40 Y2 @ Y3) | 57.52/10.40 (X2 @ Y1 @ 57.52/10.40 Y2 @ Y3)))))) & 57.52/10.40 (((!!) @ (^[Y3 : $i]: 57.52/10.40 (((X2 @ Y0 @ 57.52/10.40 Y1 @ Y3) | 57.52/10.40 (X4 @ Y0 @ 57.52/10.40 Y1 @ Y3)))))))) => 57.52/10.40 (((!!) @ (^[Y3 : $i]: 57.52/10.40 (((X4 @ Y0 @ 57.52/10.40 Y2 @ Y3) | 57.52/10.40 (X2 @ Y0 @ 57.52/10.40 Y2 @ Y3))))))))))))))))) & 57.52/10.40 (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1)))))))))))), 57.52/10.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 57.52/10.40 thf(zip_derived_cl4, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 ( (((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X2 @ (^[Y1 : $i]: ($true)) @ 57.52/10.40 (^[Y1 : $i]: ($false)) @ Y0) | (X4 @ 57.52/10.40 (^[Y1 : $i]: ($true)) @ (^[Y1 : $i]: ($false)) @ Y0)))))) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y2 : $i > $o]: 57.52/10.40 (((((((!!) @ (^[Y3 : $i]: 57.52/10.40 (((X4 @ Y1 @ 57.52/10.40 Y2 @ Y3) | 57.52/10.40 (X2 @ Y1 @ 57.52/10.40 Y2 @ Y3)))))) & 57.52/10.40 (((!!) @ (^[Y3 : $i]: 57.52/10.40 (((X2 @ Y0 @ 57.52/10.40 Y1 @ Y3) | 57.52/10.40 (X4 @ Y0 @ 57.52/10.40 Y1 @ Y3)))))))) => 57.52/10.40 (((!!) @ (^[Y3 : $i]: 57.52/10.40 (((X4 @ Y0 @ 57.52/10.40 Y2 @ Y3) | 57.52/10.40 (X2 @ Y0 @ 57.52/10.40 Y2 @ Y3))))))))))))))))) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))))), 57.52/10.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3])). 57.52/10.40 thf(zip_derived_cl5, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 ( (((X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) | 57.52/10.40 (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y2 : $i > $o]: 57.52/10.40 (((((((!!) @ (^[Y3 : $i]: 57.52/10.40 (((X4 @ Y1 @ 57.52/10.40 Y2 @ Y3) | 57.52/10.40 (X2 @ Y1 @ 57.52/10.40 Y2 @ Y3)))))) & 57.52/10.40 (((!!) @ (^[Y3 : $i]: 57.52/10.40 (((X2 @ Y0 @ 57.52/10.40 Y1 @ Y3) | 57.52/10.40 (X4 @ Y0 @ 57.52/10.40 Y1 @ Y3)))))))) => 57.52/10.40 (((!!) @ (^[Y3 : $i]: 57.52/10.40 (((X4 @ Y0 @ 57.52/10.40 Y2 @ Y3) | 57.52/10.40 (X2 @ Y0 @ 57.52/10.40 Y2 @ Y3))))))))))))))))))), 57.52/10.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 57.52/10.40 thf(zip_derived_cl6, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 ( (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y2 : $i > $o]: 57.52/10.40 (((((((!!) @ (^[Y3 : $i]: 57.52/10.40 (((X4 @ Y1 @ 57.52/10.40 Y2 @ Y3) | 57.52/10.40 (X2 @ Y1 @ 57.52/10.40 Y2 @ Y3)))))) & 57.52/10.40 (((!!) @ (^[Y3 : $i]: 57.52/10.40 (((X2 @ Y0 @ 57.52/10.40 Y1 @ Y3) | 57.52/10.40 (X4 @ Y0 @ 57.52/10.40 Y1 @ Y3)))))))) => 57.52/10.40 (((!!) @ (^[Y3 : $i]: 57.52/10.40 (((X4 @ Y0 @ 57.52/10.40 Y2 @ Y3) | 57.52/10.40 (X2 @ Y0 @ 57.52/10.40 Y2 @ Y3))))))))))))))))) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))))), 57.52/10.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl5])). 57.52/10.40 thf(zip_derived_cl7, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 (~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i > $o]: 57.52/10.40 (((((((!!) @ (^[Y2 : $i]: 57.52/10.40 (((X4 @ Y0 @ Y1 @ Y2) | 57.52/10.40 (X2 @ Y0 @ Y1 @ Y2)))))) & 57.52/10.40 (((!!) @ (^[Y2 : $i]: 57.52/10.40 (((X2 @ 57.52/10.40 ('#sk105' @ X2 @ X4) @ 57.52/10.40 Y0 @ Y2) | (X4 @ 57.52/10.40 ('#sk105' @ X2 @ X4) @ 57.52/10.40 Y0 @ Y2)))))))) => 57.52/10.40 (((!!) @ (^[Y2 : $i]: 57.52/10.40 (((X4 @ 57.52/10.40 ('#sk105' @ X2 @ X4) @ 57.52/10.40 Y1 @ Y2) | (X2 @ 57.52/10.40 ('#sk105' @ X2 @ X4) @ 57.52/10.40 Y1 @ Y2)))))))))))))) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 57.52/10.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 57.52/10.40 thf(zip_derived_cl8, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 (~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((((((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X4 @ ('#sk148' @ X2 @ X4) @ Y0 @ 57.52/10.40 Y1) | (X2 @ ('#sk148' @ X2 @ X4) @ 57.52/10.40 Y0 @ Y1)))))) & 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ ('#sk105' @ X2 @ X4) @ 57.52/10.40 ('#sk148' @ X2 @ X4) @ Y1) | (X4 @ 57.52/10.40 ('#sk105' @ X2 @ X4) @ 57.52/10.40 ('#sk148' @ X2 @ X4) @ Y1)))))))) => 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X4 @ ('#sk105' @ X2 @ X4) @ Y0 @ Y1) | 57.52/10.40 (X2 @ ('#sk105' @ X2 @ X4) @ Y0 @ Y1))))))))))) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))))), 57.52/10.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 57.52/10.40 thf(zip_derived_cl9, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 (~ (((((((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X4 @ ('#sk148' @ X2 @ X4) @ 57.52/10.40 ('#sk211' @ X2 @ X4) @ Y0) | (X2 @ 57.52/10.40 ('#sk148' @ X2 @ X4) @ ('#sk211' @ X2 @ X4) @ Y0)))))) & 57.52/10.40 (((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X2 @ ('#sk105' @ X2 @ X4) @ 57.52/10.40 ('#sk148' @ X2 @ X4) @ Y0) | (X4 @ 57.52/10.40 ('#sk105' @ X2 @ X4) @ ('#sk148' @ X2 @ X4) @ Y0)))))))) => 57.52/10.40 (((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X4 @ ('#sk105' @ X2 @ X4) @ 57.52/10.40 ('#sk211' @ X2 @ X4) @ Y0) | (X2 @ 57.52/10.40 ('#sk105' @ X2 @ X4) @ ('#sk211' @ X2 @ X4) @ Y0)))))))) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 57.52/10.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])). 57.52/10.40 thf(zip_derived_cl11, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 (~ (((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X4 @ ('#sk105' @ X2 @ X4) @ ('#sk211' @ X2 @ X4) @ 57.52/10.40 Y0) | (X2 @ ('#sk105' @ X2 @ X4) @ 57.52/10.40 ('#sk211' @ X2 @ X4) @ Y0)))))) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))))), 57.52/10.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])). 57.52/10.40 thf(zip_derived_cl14, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 ( ('#form380' @ X2 @ X4) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))))), 57.52/10.40 define([status(thm)])). 57.52/10.40 thf(zip_derived_cl15, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 (~ (((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X2 @ ('#sk381' @ X2 @ X4) @ ('#sk381' @ X2 @ X4) @ 57.52/10.40 Y0) | (X4 @ ('#sk381' @ X2 @ X4) @ 57.52/10.40 ('#sk381' @ X2 @ X4) @ Y0)))))) 57.52/10.40 | ('#form380' @ X2 @ X4))), 57.52/10.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl14])). 57.52/10.40 thf(zip_derived_cl20, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 (~ (((X2 @ ('#sk381' @ X2 @ X4) @ ('#sk381' @ X2 @ X4) @ 57.52/10.40 ('#sk507' @ X2 @ X4)) | (X4 @ ('#sk381' @ X2 @ X4) @ 57.52/10.40 ('#sk381' @ X2 @ X4) @ ('#sk507' @ X2 @ X4)))) 57.52/10.40 | ('#form380' @ X2 @ X4))), 57.52/10.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl15])). 57.52/10.40 thf(zip_derived_cl26, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 (~ (X4 @ ('#sk381' @ X2 @ X4) @ ('#sk381' @ X2 @ X4) @ 57.52/10.40 ('#sk507' @ X2 @ X4)) 57.52/10.40 | ('#form380' @ X2 @ X4))), 57.52/10.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])). 57.52/10.40 thf(zip_derived_cl11, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 (~ (((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X4 @ ('#sk105' @ X2 @ X4) @ ('#sk211' @ X2 @ X4) @ 57.52/10.40 Y0) | (X2 @ ('#sk105' @ X2 @ X4) @ 57.52/10.40 ('#sk211' @ X2 @ X4) @ Y0)))))) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))))), 57.52/10.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])). 57.52/10.40 thf(zip_derived_cl14, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 ( ('#form380' @ X2 @ X4) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))))), 57.52/10.40 define([status(thm)])). 57.52/10.40 thf(zip_derived_cl16, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 (~ ('#form380' @ X2 @ X4) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X4 @ ('#sk105' @ X2 @ X4) @ 57.52/10.40 ('#sk211' @ X2 @ X4) @ Y0) | (X2 @ 57.52/10.40 ('#sk105' @ X2 @ X4) @ ('#sk211' @ X2 @ X4) @ Y0)))))))), 57.52/10.40 inference('renaming', [status(thm)], [zip_derived_cl11, zip_derived_cl14])). 57.52/10.40 thf(zip_derived_cl19, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 (~ (((X4 @ ('#sk105' @ X2 @ X4) @ ('#sk211' @ X2 @ X4) @ 57.52/10.40 ('#sk474' @ X2 @ X4)) | (X2 @ ('#sk105' @ X2 @ X4) @ 57.52/10.40 ('#sk211' @ X2 @ X4) @ ('#sk474' @ X2 @ X4)))) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | ~ ('#form380' @ X2 @ X4))), 57.52/10.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl16])). 57.52/10.40 thf(zip_derived_cl23, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 (~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk211' @ X2 @ X4) @ 57.52/10.40 ('#sk474' @ X2 @ X4)) 57.52/10.40 | ~ ('#form380' @ X2 @ X4) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 57.52/10.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl19])). 57.52/10.40 thf(zip_derived_cl262, plain, 57.52/10.40 (![X0 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X1 : ($i > $o) > ($i > $o) > $i > $o, X2 : $i]: 57.52/10.40 (~ (X0 @ ('#sk381' @ X1 @ X0) @ ('#sk381' @ X1 @ X0) @ 57.52/10.40 ('#sk507' @ X1 @ X0)) 57.52/10.40 | (X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2) 57.52/10.40 | (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2) 57.52/10.40 | ~ (X0 @ ('#sk105' @ X1 @ X0) @ ('#sk211' @ X1 @ X0) @ 57.52/10.40 ('#sk474' @ X1 @ X0)))), 57.52/10.40 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl23])). 57.52/10.40 thf(zip_derived_cl10, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 ( (((((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X4 @ ('#sk148' @ X2 @ X4) @ ('#sk211' @ X2 @ X4) @ 57.52/10.40 Y0) | (X2 @ ('#sk148' @ X2 @ X4) @ 57.52/10.40 ('#sk211' @ X2 @ X4) @ Y0)))))) & 57.52/10.40 (((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X2 @ ('#sk105' @ X2 @ X4) @ ('#sk148' @ X2 @ X4) @ 57.52/10.40 Y0) | (X4 @ ('#sk105' @ X2 @ X4) @ 57.52/10.40 ('#sk148' @ X2 @ X4) @ Y0)))))))) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))))), 57.52/10.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])). 57.52/10.40 thf(zip_derived_cl12, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 ( (((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X4 @ ('#sk148' @ X2 @ X4) @ ('#sk211' @ X2 @ X4) @ 57.52/10.40 Y0) | (X2 @ ('#sk148' @ X2 @ X4) @ 57.52/10.40 ('#sk211' @ X2 @ X4) @ Y0)))))) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 57.52/10.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 57.52/10.40 thf(zip_derived_cl14, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 ( ('#form380' @ X2 @ X4) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))))), 57.52/10.40 define([status(thm)])). 57.52/10.40 thf(zip_derived_cl17, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 (~ ('#form380' @ X2 @ X4) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X4 @ ('#sk148' @ X2 @ X4) @ ('#sk211' @ X2 @ X4) @ 57.52/10.40 Y0) | (X2 @ ('#sk148' @ X2 @ X4) @ 57.52/10.40 ('#sk211' @ X2 @ X4) @ Y0)))))))), 57.52/10.40 inference('renaming', [status(thm)], [zip_derived_cl12, zip_derived_cl14])). 57.52/10.40 thf(zip_derived_cl21, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 57.52/10.40 ( (((X4 @ ('#sk148' @ X2 @ X4) @ ('#sk211' @ X2 @ X4) @ X8) | (X2 @ 57.52/10.40 ('#sk148' @ X2 @ X4) @ ('#sk211' @ X2 @ X4) @ X8))) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | ~ ('#form380' @ X2 @ X4))), 57.52/10.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 57.52/10.40 thf(zip_derived_cl27, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 57.52/10.40 ( (X4 @ ('#sk148' @ X2 @ X4) @ ('#sk211' @ X2 @ X4) @ X8) 57.52/10.40 | (X2 @ ('#sk148' @ X2 @ X4) @ ('#sk211' @ X2 @ X4) @ X8) 57.52/10.40 | ~ ('#form380' @ X2 @ X4) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 57.52/10.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl21])). 57.52/10.40 thf(zip_derived_cl26, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 (~ (X4 @ ('#sk381' @ X2 @ X4) @ ('#sk381' @ X2 @ X4) @ 57.52/10.40 ('#sk507' @ X2 @ X4)) 57.52/10.40 | ('#form380' @ X2 @ X4))), 57.52/10.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])). 57.52/10.40 thf(zip_derived_cl13, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 ( (((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X2 @ ('#sk105' @ X2 @ X4) @ ('#sk148' @ X2 @ X4) @ 57.52/10.40 Y0) | (X4 @ ('#sk105' @ X2 @ X4) @ 57.52/10.40 ('#sk148' @ X2 @ X4) @ Y0)))))) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 57.52/10.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 57.52/10.40 thf(zip_derived_cl14, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o]: 57.52/10.40 ( ('#form380' @ X2 @ X4) 57.52/10.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 57.52/10.40 (((!!) @ (^[Y1 : $i]: 57.52/10.40 (((X2 @ Y0 @ Y0 @ Y1) | (X4 @ Y0 @ Y0 @ 57.52/10.40 Y1))))))))))), 57.52/10.40 define([status(thm)])). 57.52/10.40 thf(zip_derived_cl18, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 57.52/10.40 (~ ('#form380' @ X2 @ X4) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (((!!) @ (^[Y0 : $i]: 57.52/10.40 (((X2 @ ('#sk105' @ X2 @ X4) @ ('#sk148' @ X2 @ X4) @ 57.52/10.40 Y0) | (X4 @ ('#sk105' @ X2 @ X4) @ 57.52/10.40 ('#sk148' @ X2 @ X4) @ Y0)))))))), 57.52/10.40 inference('renaming', [status(thm)], [zip_derived_cl13, zip_derived_cl14])). 57.52/10.40 thf(zip_derived_cl22, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 57.52/10.40 ( (((X2 @ ('#sk105' @ X2 @ X4) @ ('#sk148' @ X2 @ X4) @ X8) | (X4 @ 57.52/10.40 ('#sk105' @ X2 @ X4) @ ('#sk148' @ X2 @ X4) @ X8))) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | ~ ('#form380' @ X2 @ X4))), 57.52/10.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl18])). 57.52/10.40 thf(zip_derived_cl28, plain, 57.52/10.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 57.52/10.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 57.52/10.40 ( (X2 @ ('#sk105' @ X2 @ X4) @ ('#sk148' @ X2 @ X4) @ X8) 57.52/10.40 | (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk148' @ X2 @ X4) @ X8) 57.52/10.40 | ~ ('#form380' @ X2 @ X4) 57.52/10.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 57.52/10.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 57.52/10.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl22])). 57.52/10.40 thf(zip_derived_cl4445, plain, ($false), 57.52/10.40 inference('eprover', [status(thm)], 57.52/10.40 [zip_derived_cl262, zip_derived_cl27, zip_derived_cl26, 57.52/10.40 zip_derived_cl28])). 57.52/10.40 57.52/10.40 % SZS output end Refutation 57.52/10.40 57.52/10.40 57.52/10.40 % Terminating... 58.20/10.55 % Runner terminated. 58.20/10.57 % Zipperpin 1.5 exiting 58.20/10.57 EOF