0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4qFW4TWd6y true 0.13/0.34 % Computer : n003.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Mon Jul 3 05:31:01 EDT 2023 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 1440 s 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.34 % Running in HO mode 0.44/0.58 % Total configuration time : 828 0.44/0.58 % Estimated wc time : 1656 0.44/0.58 % Estimated cpu time (8 cpus) : 207.0 0.44/0.63 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.44/0.68 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.44/0.68 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.44/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.44/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.44/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.44/0.68 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.44/0.75 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 51.76/7.40 % Solved by lams/20_acsne_simpl.sh. 51.76/7.40 % done 11 iterations in 6.620s 51.76/7.40 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 51.76/7.40 % SZS output start Refutation 51.76/7.40 thf('#sk150_type', type, '#sk150': (($i > $o) > ($i > $o) > $i > $o) > 51.76/7.40 (($i > $o) > ($i > $o) > $i > $o) > $i). 51.76/7.40 thf(p_type, type, p: $o). 51.76/7.40 thf('#sk334_type', type, '#sk334': (($i > $o) > ($i > $o) > $i > $o) > 51.76/7.40 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 51.76/7.40 thf('#sk850_type', type, '#sk850': (($i > $o) > ($i > $o) > $i > $o) > 51.76/7.40 (($i > $o) > ($i > $o) > $i > $o) > $i). 51.76/7.40 thf('#sk105_type', type, '#sk105': (($i > $o) > ($i > $o) > $i > $o) > 51.76/7.40 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 51.76/7.40 thf('#sk467_type', type, '#sk467': (($i > $o) > ($i > $o) > $i > $o) > 51.76/7.40 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 51.76/7.40 thf('#sk241_type', type, '#sk241': (($i > $o) > ($i > $o) > $i > $o) > 51.76/7.40 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 51.76/7.40 thf(cTHM120F_pme, conjecture, 51.76/7.40 (?[Xr_28:( ( $i > $o ) > ( $i > $o ) > $i > $o ), 51.76/7.40 Xr_27:( ( $i > $o ) > ( $i > $o ) > $i > $o )]: 51.76/7.40 ( ( ~( ![Xw_2:$i]: 51.76/7.40 ( ( Xr_27 @ 51.76/7.40 ( ^[Xx:$i]: ( ( ~( p ) ) | ( p ) ) ) @ 51.76/7.40 ( ^[Xx:$i]: ( ( p ) & ( ~( p ) ) ) ) @ Xw_2 ) | 51.76/7.40 ( Xr_28 @ 51.76/7.40 ( ^[Xx:$i]: ( ( ~( p ) ) | ( p ) ) ) @ 51.76/7.40 ( ^[Xx:$i]: ( ( ~( p ) ) & ( p ) ) ) @ Xw_2 ) ) ) ) & 51.76/7.40 ( ![Xx:( $i > $o ),Xw_2:$i]: 51.76/7.40 ( ( Xr_27 @ Xx @ Xx @ Xw_2 ) | ( Xr_28 @ Xx @ Xx @ Xw_2 ) ) ) & 51.76/7.40 ( ![Xx:( $i > $o ),Xy:( $i > $o ),Xz:( $i > $o )]: 51.76/7.40 ( ( ( ![Xw_2:$i]: 51.76/7.40 ( ( Xr_27 @ Xy @ Xz @ Xw_2 ) | ( Xr_28 @ Xy @ Xz @ Xw_2 ) ) ) & 51.76/7.40 ( ![Xw_2:$i]: 51.76/7.40 ( ( Xr_28 @ Xx @ Xy @ Xw_2 ) | ( Xr_27 @ Xx @ Xy @ Xw_2 ) ) ) ) => 51.76/7.40 ( ![Xw_2:$i]: 51.76/7.40 ( ( Xr_28 @ Xx @ Xz @ Xw_2 ) | ( Xr_27 @ Xx @ Xz @ Xw_2 ) ) ) ) ) ))). 51.76/7.40 thf(zf_stmt_0, negated_conjecture, 51.76/7.40 (~( ?[Xr_28:( ( $i > $o ) > ( $i > $o ) > $i > $o ), 51.76/7.40 Xr_27:( ( $i > $o ) > ( $i > $o ) > $i > $o )]: 51.76/7.40 ( ( ~( ![Xw_2:$i]: 51.76/7.40 ( ( Xr_27 @ 51.76/7.40 ( ^[Xx:$i]: ( ( ~( p ) ) | ( p ) ) ) @ 51.76/7.40 ( ^[Xx:$i]: ( ( p ) & ( ~( p ) ) ) ) @ Xw_2 ) | 51.76/7.40 ( Xr_28 @ 51.76/7.40 ( ^[Xx:$i]: ( ( ~( p ) ) | ( p ) ) ) @ 51.76/7.40 ( ^[Xx:$i]: ( ( ~( p ) ) & ( p ) ) ) @ Xw_2 ) ) ) ) & 51.76/7.40 ( ![Xx:( $i > $o ),Xw_2:$i]: 51.76/7.40 ( ( Xr_27 @ Xx @ Xx @ Xw_2 ) | ( Xr_28 @ Xx @ Xx @ Xw_2 ) ) ) & 51.76/7.40 ( ![Xx:( $i > $o ),Xy:( $i > $o ),Xz:( $i > $o )]: 51.76/7.40 ( ( ( ![Xw_2:$i]: 51.76/7.40 ( ( Xr_27 @ Xy @ Xz @ Xw_2 ) | ( Xr_28 @ Xy @ Xz @ Xw_2 ) ) ) & 51.76/7.40 ( ![Xw_2:$i]: 51.76/7.40 ( ( Xr_28 @ Xx @ Xy @ Xw_2 ) | ( Xr_27 @ Xx @ Xy @ Xw_2 ) ) ) ) => 51.76/7.40 ( ![Xw_2:$i]: 51.76/7.40 ( ( Xr_28 @ Xx @ Xz @ Xw_2 ) | ( Xr_27 @ Xx @ Xz @ Xw_2 ) ) ) ) ) ) )), 51.76/7.40 inference('cnf.neg', [status(esa)], [cTHM120F_pme])). 51.76/7.40 thf(zip_derived_cl0, plain, 51.76/7.40 (~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]: 51.76/7.40 (((??) @ (^[Y1 : ($i > $o) > ($i > $o) > $i > $o]: 51.76/7.40 (((((~) @ (((!!) @ (^[Y2 : $i]: 51.76/7.40 (((Y1 @ 51.76/7.40 (^[Y3 : $i]: 51.76/7.40 (((((~) @ p)) | (p)))) @ 51.76/7.40 (^[Y3 : $i]: 51.76/7.40 (((p) & (((~) @ p))))) @ 51.76/7.40 Y2) | (Y0 @ 51.76/7.40 (^[Y3 : $i]: 51.76/7.40 (((((~) @ p)) | (p)))) @ 51.76/7.40 (^[Y3 : $i]: 51.76/7.40 (((((~) @ p)) & (p)))) @ 51.76/7.40 Y2)))))))) & 51.76/7.40 (((!!) @ (^[Y2 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((Y1 @ Y2 @ Y2 @ 51.76/7.40 Y3) | (Y0 @ Y2 @ 51.76/7.40 Y2 @ Y3))))))))) & 51.76/7.40 (((!!) @ (^[Y2 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y3 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y4 : $i > $o]: 51.76/7.40 (( 51.76/7.40 (( 51.76/7.40 (( 51.76/7.40 (!!) @ ( 51.76/7.40 ^[Y5 : $i]: 51.76/7.40 (( 51.76/7.40 (Y1 @ 51.76/7.40 Y3 @ 51.76/7.40 Y4 @ 51.76/7.40 Y5) | 51.76/7.40 (Y0 @ 51.76/7.40 Y3 @ 51.76/7.40 Y4 @ Y5)))))) & 51.76/7.40 (( 51.76/7.40 (!!) @ ( 51.76/7.40 ^[Y5 : $i]: 51.76/7.40 (( 51.76/7.40 (Y0 @ 51.76/7.40 Y2 @ 51.76/7.40 Y3 @ 51.76/7.40 Y5) | 51.76/7.40 (Y1 @ 51.76/7.40 Y2 @ 51.76/7.40 Y3 @ Y5)))))))) => 51.76/7.40 (( 51.76/7.40 (!!) @ ( 51.76/7.40 ^[Y5 : $i]: 51.76/7.40 (( 51.76/7.40 (Y0 @ 51.76/7.40 Y2 @ 51.76/7.40 Y4 @ 51.76/7.40 Y5) | 51.76/7.40 (Y1 @ 51.76/7.40 Y2 @ 51.76/7.40 Y4 @ Y5)))))))))))))))))))))))))), 51.76/7.40 inference('cnf', [status(esa)], [zf_stmt_0])). 51.76/7.40 thf(zip_derived_cl1, plain, 51.76/7.40 (~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]: 51.76/7.40 (((??) @ (^[Y1 : ($i > $o) > ($i > $o) > $i > $o]: 51.76/7.40 (((((~) @ (((!!) @ (^[Y2 : $i]: 51.76/7.40 (((Y1 @ 51.76/7.40 (^[Y3 : $i]: ($true)) @ 51.76/7.40 (^[Y3 : $i]: ($false)) @ 51.76/7.40 Y2) | (Y0 @ 51.76/7.40 (^[Y3 : $i]: ($true)) @ 51.76/7.40 (^[Y3 : $i]: ($false)) @ 51.76/7.40 Y2)))))))) & 51.76/7.40 (((!!) @ (^[Y2 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((Y1 @ Y2 @ Y2 @ 51.76/7.40 Y3) | (Y0 @ Y2 @ 51.76/7.40 Y2 @ Y3))))))))) & 51.76/7.40 (((!!) @ (^[Y2 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y3 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y4 : $i > $o]: 51.76/7.40 (( 51.76/7.40 (( 51.76/7.40 (( 51.76/7.40 (!!) @ ( 51.76/7.40 ^[Y5 : $i]: 51.76/7.40 (( 51.76/7.40 (Y1 @ 51.76/7.40 Y3 @ 51.76/7.40 Y4 @ 51.76/7.40 Y5) | 51.76/7.40 (Y0 @ 51.76/7.40 Y3 @ 51.76/7.40 Y4 @ Y5)))))) & 51.76/7.40 (( 51.76/7.40 (!!) @ ( 51.76/7.40 ^[Y5 : $i]: 51.76/7.40 (( 51.76/7.40 (Y0 @ 51.76/7.40 Y2 @ 51.76/7.40 Y3 @ 51.76/7.40 Y5) | 51.76/7.40 (Y1 @ 51.76/7.40 Y2 @ 51.76/7.40 Y3 @ Y5)))))))) => 51.76/7.40 (( 51.76/7.40 (!!) @ ( 51.76/7.40 ^[Y5 : $i]: 51.76/7.40 (( 51.76/7.40 (Y0 @ 51.76/7.40 Y2 @ 51.76/7.40 Y4 @ 51.76/7.40 Y5) | 51.76/7.40 (Y1 @ 51.76/7.40 Y2 @ 51.76/7.40 Y4 @ Y5)))))))))))))))))))))))))), 51.76/7.40 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl0])). 51.76/7.40 thf(zip_derived_cl2, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o]: 51.76/7.40 ~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]: 51.76/7.40 (((((~) @ (((!!) @ (^[Y1 : $i]: 51.76/7.40 (((Y0 @ (^[Y2 : $i]: ($true)) @ 51.76/7.40 (^[Y2 : $i]: ($false)) @ Y1) | 51.76/7.40 (X2 @ (^[Y2 : $i]: ($true)) @ 51.76/7.40 (^[Y2 : $i]: ($false)) @ Y1)))))))) & 51.76/7.40 (((!!) @ (^[Y1 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y2 : $i]: 51.76/7.40 (((Y0 @ Y1 @ Y1 @ Y2) | (X2 @ 51.76/7.40 Y1 @ Y1 @ Y2))))))))) & 51.76/7.40 (((!!) @ (^[Y1 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y2 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y3 : $i > $o]: 51.76/7.40 (((((((!!) @ ( 51.76/7.40 ^[Y4 : $i]: 51.76/7.40 (( 51.76/7.40 (Y0 @ 51.76/7.40 Y2 @ 51.76/7.40 Y3 @ 51.76/7.40 Y4) | 51.76/7.40 (X2 @ 51.76/7.40 Y2 @ 51.76/7.40 Y3 @ Y4)))))) & 51.76/7.40 (((!!) @ ( 51.76/7.40 ^[Y4 : $i]: 51.76/7.40 (( 51.76/7.40 (X2 @ 51.76/7.40 Y1 @ 51.76/7.40 Y2 @ 51.76/7.40 Y4) | 51.76/7.40 (Y0 @ 51.76/7.40 Y1 @ 51.76/7.40 Y2 @ Y4)))))))) => 51.76/7.40 (((!!) @ ( 51.76/7.40 ^[Y4 : $i]: 51.76/7.40 (((X2 @ 51.76/7.40 Y1 @ Y3 @ 51.76/7.40 Y4) | 51.76/7.40 (Y0 @ 51.76/7.40 Y1 @ Y3 @ 51.76/7.40 Y4))))))))))))))))))))))), 51.76/7.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 51.76/7.40 thf(zip_derived_cl3, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o]: 51.76/7.40 ~ (((((~) @ (((!!) @ (^[Y0 : $i]: 51.76/7.40 (((X4 @ (^[Y1 : $i]: ($true)) @ 51.76/7.40 (^[Y1 : $i]: ($false)) @ Y0) | (X2 @ 51.76/7.40 (^[Y1 : $i]: ($true)) @ 51.76/7.40 (^[Y1 : $i]: ($false)) @ Y0)))))))) & 51.76/7.40 (((!!) @ (^[Y0 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y1 : $i]: 51.76/7.40 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 51.76/7.40 Y1))))))))) & 51.76/7.40 (((!!) @ (^[Y0 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y1 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y2 : $i > $o]: 51.76/7.40 (((((((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X4 @ Y1 @ 51.76/7.40 Y2 @ Y3) | 51.76/7.40 (X2 @ Y1 @ 51.76/7.40 Y2 @ Y3)))))) & 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X2 @ Y0 @ 51.76/7.40 Y1 @ Y3) | 51.76/7.40 (X4 @ Y0 @ 51.76/7.40 Y1 @ Y3)))))))) => 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X2 @ Y0 @ 51.76/7.40 Y2 @ Y3) | 51.76/7.40 (X4 @ Y0 @ 51.76/7.40 Y2 @ Y3)))))))))))))))))))), 51.76/7.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 51.76/7.40 thf(zip_derived_cl4, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o]: 51.76/7.40 ( (((!!) @ (^[Y0 : $i]: 51.76/7.40 (((X4 @ (^[Y1 : $i]: ($true)) @ 51.76/7.40 (^[Y1 : $i]: ($false)) @ Y0) | (X2 @ 51.76/7.40 (^[Y1 : $i]: ($true)) @ (^[Y1 : $i]: ($false)) @ Y0)))))) 51.76/7.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y1 : $i]: 51.76/7.40 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 51.76/7.40 Y1))))))))) 51.76/7.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y1 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y2 : $i > $o]: 51.76/7.40 (((((((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X4 @ Y1 @ 51.76/7.40 Y2 @ Y3) | 51.76/7.40 (X2 @ Y1 @ 51.76/7.40 Y2 @ Y3)))))) & 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X2 @ Y0 @ 51.76/7.40 Y1 @ Y3) | 51.76/7.40 (X4 @ Y0 @ 51.76/7.40 Y1 @ Y3)))))))) => 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X2 @ Y0 @ 51.76/7.40 Y2 @ Y3) | 51.76/7.40 (X4 @ Y0 @ 51.76/7.40 Y2 @ Y3))))))))))))))))))), 51.76/7.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3])). 51.76/7.40 thf(zip_derived_cl5, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.76/7.40 ( (((X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) | 51.76/7.40 (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))) 51.76/7.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y1 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y2 : $i > $o]: 51.76/7.40 (((((((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X4 @ Y1 @ 51.76/7.40 Y2 @ Y3) | 51.76/7.40 (X2 @ Y1 @ 51.76/7.40 Y2 @ Y3)))))) & 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X2 @ Y0 @ 51.76/7.40 Y1 @ Y3) | 51.76/7.40 (X4 @ Y0 @ 51.76/7.40 Y1 @ Y3)))))))) => 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X2 @ Y0 @ 51.76/7.40 Y2 @ Y3) | 51.76/7.40 (X4 @ Y0 @ 51.76/7.40 Y2 @ Y3))))))))))))))))) 51.76/7.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y1 : $i]: 51.76/7.40 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 51.76/7.40 Y1))))))))))), 51.76/7.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 51.76/7.40 thf(zip_derived_cl6, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.76/7.40 ( (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y1 : $i]: 51.76/7.40 (((X4 @ Y0 @ Y0 @ Y1) | (X2 @ Y0 @ Y0 @ 51.76/7.40 Y1))))))))) 51.76/7.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y1 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y2 : $i > $o]: 51.76/7.40 (((((((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X4 @ Y1 @ 51.76/7.40 Y2 @ Y3) | 51.76/7.40 (X2 @ Y1 @ 51.76/7.40 Y2 @ Y3)))))) & 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X2 @ Y0 @ 51.76/7.40 Y1 @ Y3) | 51.76/7.40 (X4 @ Y0 @ 51.76/7.40 Y1 @ Y3)))))))) => 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X2 @ Y0 @ 51.76/7.40 Y2 @ Y3) | 51.76/7.40 (X4 @ Y0 @ 51.76/7.40 Y2 @ Y3))))))))))))))))))), 51.76/7.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl5])). 51.76/7.40 thf(zip_derived_cl7, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.76/7.40 (~ (((!!) @ (^[Y0 : $i]: 51.76/7.40 (((X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 Y0) | (X2 @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk105' @ X2 @ X4) @ Y0)))))) 51.76/7.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y1 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y2 : $i > $o]: 51.76/7.40 (((((((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X4 @ Y1 @ 51.76/7.40 Y2 @ Y3) | 51.76/7.40 (X2 @ Y1 @ 51.76/7.40 Y2 @ Y3)))))) & 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X2 @ Y0 @ 51.76/7.40 Y1 @ Y3) | 51.76/7.40 (X4 @ Y0 @ 51.76/7.40 Y1 @ Y3)))))))) => 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X2 @ Y0 @ 51.76/7.40 Y2 @ Y3) | 51.76/7.40 (X4 @ Y0 @ 51.76/7.40 Y2 @ Y3))))))))))))))))) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.76/7.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 51.76/7.40 thf(zip_derived_cl8, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.76/7.40 (~ (((X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)) | (X2 @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk105' @ X2 @ X4) @ ('#sk150' @ X2 @ X4)))) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y1 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y2 : $i > $o]: 51.76/7.40 (((((((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X4 @ Y1 @ 51.76/7.40 Y2 @ Y3) | 51.76/7.40 (X2 @ Y1 @ 51.76/7.40 Y2 @ Y3)))))) & 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X2 @ Y0 @ 51.76/7.40 Y1 @ Y3) | 51.76/7.40 (X4 @ Y0 @ 51.76/7.40 Y1 @ Y3)))))))) => 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X2 @ Y0 @ 51.76/7.40 Y2 @ Y3) | 51.76/7.40 (X4 @ Y0 @ 51.76/7.40 Y2 @ Y3))))))))))))))))))), 51.76/7.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 51.76/7.40 thf(zip_derived_cl9, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.76/7.40 (~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)) 51.76/7.40 | ~ (((!!) @ (^[Y0 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y1 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y2 : $i > $o]: 51.76/7.40 (((((((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X4 @ Y1 @ 51.76/7.40 Y2 @ Y3) | 51.76/7.40 (X2 @ Y1 @ 51.76/7.40 Y2 @ Y3)))))) & 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X2 @ Y0 @ 51.76/7.40 Y1 @ Y3) | 51.76/7.40 (X4 @ Y0 @ 51.76/7.40 Y1 @ Y3)))))))) => 51.76/7.40 (((!!) @ (^[Y3 : $i]: 51.76/7.40 (((X2 @ Y0 @ 51.76/7.40 Y2 @ Y3) | 51.76/7.40 (X4 @ Y0 @ 51.76/7.40 Y2 @ Y3))))))))))))))))) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.76/7.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl8])). 51.76/7.40 thf(zip_derived_cl11, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.76/7.40 (~ (((!!) @ (^[Y0 : $i > $o]: 51.76/7.40 (((!!) @ (^[Y1 : $i > $o]: 51.76/7.40 (((((((!!) @ (^[Y2 : $i]: 51.76/7.40 (((X4 @ Y0 @ Y1 @ Y2) | 51.76/7.40 (X2 @ Y0 @ Y1 @ Y2)))))) & 51.76/7.40 (((!!) @ (^[Y2 : $i]: 51.76/7.40 (((X2 @ 51.76/7.40 ('#sk241' @ X2 @ X4) @ 51.76/7.40 Y0 @ Y2) | (X4 @ 51.76/7.40 ('#sk241' @ X2 @ X4) @ 51.76/7.40 Y0 @ Y2)))))))) => 51.76/7.40 (((!!) @ (^[Y2 : $i]: 51.76/7.40 (((X2 @ 51.76/7.40 ('#sk241' @ X2 @ X4) @ 51.76/7.40 Y1 @ Y2) | (X4 @ 51.76/7.40 ('#sk241' @ X2 @ X4) @ 51.76/7.40 Y1 @ Y2)))))))))))))) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)))), 51.76/7.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])). 51.76/7.40 thf(zip_derived_cl13, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.76/7.40 (~ (((!!) @ (^[Y0 : $i > $o]: 51.76/7.40 (((((((!!) @ (^[Y1 : $i]: 51.76/7.40 (((X4 @ ('#sk334' @ X2 @ X4) @ Y0 @ 51.76/7.40 Y1) | (X2 @ ('#sk334' @ X2 @ X4) @ 51.76/7.40 Y0 @ Y1)))))) & 51.76/7.40 (((!!) @ (^[Y1 : $i]: 51.76/7.40 (((X2 @ ('#sk241' @ X2 @ X4) @ 51.76/7.40 ('#sk334' @ X2 @ X4) @ Y1) | (X4 @ 51.76/7.40 ('#sk241' @ X2 @ X4) @ 51.76/7.40 ('#sk334' @ X2 @ X4) @ Y1)))))))) => 51.76/7.40 (((!!) @ (^[Y1 : $i]: 51.76/7.40 (((X2 @ ('#sk241' @ X2 @ X4) @ Y0 @ Y1) | 51.76/7.40 (X4 @ ('#sk241' @ X2 @ X4) @ Y0 @ Y1))))))))))) 51.76/7.40 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.76/7.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])). 51.76/7.40 thf(zip_derived_cl15, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.76/7.40 (~ (((((((!!) @ (^[Y0 : $i]: 51.76/7.40 (((X4 @ ('#sk334' @ X2 @ X4) @ 51.76/7.40 ('#sk467' @ X2 @ X4) @ Y0) | (X2 @ 51.76/7.40 ('#sk334' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ Y0)))))) & 51.76/7.40 (((!!) @ (^[Y0 : $i]: 51.76/7.40 (((X2 @ ('#sk241' @ X2 @ X4) @ 51.76/7.40 ('#sk334' @ X2 @ X4) @ Y0) | (X4 @ 51.76/7.40 ('#sk241' @ X2 @ X4) @ ('#sk334' @ X2 @ X4) @ Y0)))))))) => 51.76/7.40 (((!!) @ (^[Y0 : $i]: 51.76/7.40 (((X2 @ ('#sk241' @ X2 @ X4) @ 51.76/7.40 ('#sk467' @ X2 @ X4) @ Y0) | (X4 @ 51.76/7.40 ('#sk241' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ Y0)))))))) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)))), 51.76/7.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl13])). 51.76/7.40 thf(zip_derived_cl17, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.76/7.40 ( (((((!!) @ (^[Y0 : $i]: 51.76/7.40 (((X4 @ ('#sk334' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ 51.76/7.40 Y0) | (X2 @ ('#sk334' @ X2 @ X4) @ 51.76/7.40 ('#sk467' @ X2 @ X4) @ Y0)))))) & 51.76/7.40 (((!!) @ (^[Y0 : $i]: 51.76/7.40 (((X2 @ ('#sk241' @ X2 @ X4) @ ('#sk334' @ X2 @ X4) @ 51.76/7.40 Y0) | (X4 @ ('#sk241' @ X2 @ X4) @ 51.76/7.40 ('#sk334' @ X2 @ X4) @ Y0)))))))) 51.76/7.40 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.76/7.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 51.76/7.40 thf(zip_derived_cl22, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.76/7.40 ( (((!!) @ (^[Y0 : $i]: 51.76/7.40 (((X2 @ ('#sk241' @ X2 @ X4) @ ('#sk334' @ X2 @ X4) @ 51.76/7.40 Y0) | (X4 @ ('#sk241' @ X2 @ X4) @ 51.76/7.40 ('#sk334' @ X2 @ X4) @ Y0)))))) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)))), 51.76/7.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])). 51.76/7.40 thf(zip_derived_cl28, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 51.76/7.40 ( (((X2 @ ('#sk241' @ X2 @ X4) @ ('#sk334' @ X2 @ X4) @ X8) | (X4 @ 51.76/7.40 ('#sk241' @ X2 @ X4) @ ('#sk334' @ X2 @ X4) @ X8))) 51.76/7.40 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.76/7.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])). 51.76/7.40 thf(zip_derived_cl36, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 51.76/7.40 ( (X2 @ ('#sk241' @ X2 @ X4) @ ('#sk334' @ X2 @ X4) @ X8) 51.76/7.40 | (X4 @ ('#sk241' @ X2 @ X4) @ ('#sk334' @ X2 @ X4) @ X8) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)))), 51.76/7.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl28])). 51.76/7.40 thf(zip_derived_cl21, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.76/7.40 ( (((!!) @ (^[Y0 : $i]: 51.76/7.40 (((X4 @ ('#sk334' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ 51.76/7.40 Y0) | (X2 @ ('#sk334' @ X2 @ X4) @ 51.76/7.40 ('#sk467' @ X2 @ X4) @ Y0)))))) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)))), 51.76/7.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])). 51.76/7.40 thf(zip_derived_cl27, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 51.76/7.40 ( (((X4 @ ('#sk334' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ X8) | (X2 @ 51.76/7.40 ('#sk334' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ X8))) 51.76/7.40 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.76/7.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl21])). 51.76/7.40 thf(zip_derived_cl35, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 51.76/7.40 ( (X4 @ ('#sk334' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ X8) 51.76/7.40 | (X2 @ ('#sk334' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ X8) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)))), 51.76/7.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl27])). 51.76/7.40 thf(zip_derived_cl2729, plain, 51.76/7.40 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i, X2 : $i]: 51.76/7.40 (~ (X0 @ 51.76/7.40 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 51.76/7.40 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 51.76/7.40 ('#sk150' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0)) 51.76/7.40 | ((^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 51.76/7.40 (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 51.76/7.40 | (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 51.76/7.40 | ((^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 51.76/7.40 ('#sk334' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 51.76/7.40 ('#sk467' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 51.76/7.40 X2) 51.76/7.40 | (X0 @ 51.76/7.40 ('#sk334' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 51.76/7.40 ('#sk467' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 51.76/7.40 X2))), 51.76/7.40 inference('eq_fact', [status(thm)], [zip_derived_cl35])). 51.76/7.40 thf(zip_derived_cl2801, plain, 51.76/7.40 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i, X2 : $i]: 51.76/7.40 (~ (X0 @ 51.76/7.40 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 51.76/7.40 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 51.76/7.40 ('#sk150' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0)) 51.76/7.40 | (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 51.76/7.40 | (X0 @ 51.76/7.40 ('#sk334' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 51.76/7.40 ('#sk467' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 51.76/7.40 X2))), 51.76/7.40 inference('ho_norm', [status(thm)], [zip_derived_cl2729])). 51.76/7.40 thf(zip_derived_cl18, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.76/7.40 (~ (((!!) @ (^[Y0 : $i]: 51.76/7.40 (((X2 @ ('#sk241' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ 51.76/7.40 Y0) | (X4 @ ('#sk241' @ X2 @ X4) @ 51.76/7.40 ('#sk467' @ X2 @ X4) @ Y0)))))) 51.76/7.40 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.76/7.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 51.76/7.40 thf(zip_derived_cl23, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.76/7.40 (~ (((X2 @ ('#sk241' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ 51.76/7.40 ('#sk850' @ X2 @ X4)) | (X4 @ ('#sk241' @ X2 @ X4) @ 51.76/7.40 ('#sk467' @ X2 @ X4) @ ('#sk850' @ X2 @ X4)))) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)))), 51.76/7.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl18])). 51.76/7.40 thf(zip_derived_cl30, plain, 51.76/7.40 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 51.76/7.40 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 51.76/7.40 (~ (X4 @ ('#sk241' @ X2 @ X4) @ ('#sk467' @ X2 @ X4) @ 51.76/7.40 ('#sk850' @ X2 @ X4)) 51.76/7.40 | ~ (X4 @ ('#sk105' @ X2 @ X4) @ ('#sk105' @ X2 @ X4) @ 51.76/7.40 ('#sk150' @ X2 @ X4)) 51.76/7.40 | (X2 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6) 51.76/7.40 | (X4 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X6))), 51.76/7.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])). 51.76/7.40 thf(zip_derived_cl395, plain, 51.76/7.40 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i]: 51.76/7.40 (~ (X0 @ 51.76/7.40 ('#sk241' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 51.76/7.40 ('#sk467' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 51.76/7.40 ('#sk850' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0)) 51.76/7.40 | (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 51.76/7.40 | ((^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 51.76/7.40 (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 51.76/7.40 | ~ (X0 @ 51.76/7.40 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 51.76/7.40 X0) @ 51.76/7.40 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 51.76/7.40 X0) @ 51.76/7.40 ('#sk150' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 51.76/7.40 X0)))), 51.76/7.40 inference('eq_fact', [status(thm)], [zip_derived_cl30])). 51.76/7.40 thf(zip_derived_cl462, plain, 51.76/7.40 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i]: 51.76/7.40 (~ (X0 @ 51.76/7.40 ('#sk241' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 51.76/7.40 ('#sk467' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0) @ 51.76/7.40 ('#sk850' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ X0)) 51.76/7.40 | (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X1) 51.76/7.40 | ~ (X0 @ 51.76/7.40 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 51.76/7.40 X0) @ 51.76/7.40 ('#sk105' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 51.76/7.40 X0) @ 51.76/7.40 ('#sk150' @ (^[Y0 : $i > $o,Y1 : $i > $o,Y2 : $i]: ($false)) @ 51.76/7.40 X0)))), 51.76/7.40 inference('ho_norm', [status(thm)], [zip_derived_cl395])). 51.76/7.40 thf(zip_derived_cl3504, plain, ($false), 51.76/7.40 inference('eprover', [status(thm)], 51.76/7.40 [zip_derived_cl36, zip_derived_cl2801, zip_derived_cl462])). 51.76/7.40 51.76/7.40 % SZS output end Refutation 51.76/7.40 51.76/7.40 51.76/7.40 % Terminating... 52.67/7.55 % Runner terminated. 52.67/7.57 % Zipperpin 1.5 exiting 52.67/7.58 EOF