0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sIHsth16j8 true 0.13/0.34 % Computer : n011.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 : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:37:21 EDT 2022 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 960 s 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.54/0.66 % Total configuration time : 828 0.54/0.66 % Estimated wc time : 1656 0.54/0.66 % Estimated cpu time (8 cpus) : 207.0 0.54/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 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/40_c_ic.sh running for 80s 0.54/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.54/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.54/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.54/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 13.66/2.35 % Solved by lams/35_full_unif4.sh. 13.66/2.35 % done 138 iterations in 1.594s 13.66/2.35 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 13.66/2.35 % SZS output start Refutation 13.66/2.35 thf('#sk1_type', type, '#sk1': ($i > $o) > $i). 13.66/2.35 thf('#form729_type', type, '#form729': $o). 13.66/2.35 thf('#sk1417_type', type, '#sk1417': ($i > $o) > $i > $o). 13.66/2.35 thf('#sk709_type', type, '#sk709': $i > $o). 13.66/2.35 thf('#sk717_type', type, '#sk717': $i > ($i > $o) > $i > $o). 13.66/2.35 thf('#sk710_type', type, '#sk710': $i > $i > $o). 13.66/2.35 thf('#sk17_type', type, '#sk17': ($i > $o) > ($i > $o) > $i > $o). 13.66/2.35 thf('#sk2_type', type, '#sk2': $i > $o). 13.66/2.35 thf(cTHM143_EXPANDB, conjecture, 13.66/2.35 (![Xh:( ( $i > $o ) > $i )]: 13.66/2.35 ( ( ![Xt:( $i > $o )]: 13.66/2.35 ( ( Xt @ ( Xh @ Xt ) ) | 13.66/2.35 ( ?[Xq:( $i > $o )]: 13.66/2.35 ( ( ~( Xq @ ( Xh @ Xt ) ) ) & 13.66/2.35 ( Xq @ 13.66/2.35 ( Xh @ 13.66/2.35 ( ^[Xz:$i]: 13.66/2.35 ( ?[Xt0:( $i > $o )]: 13.66/2.35 ( ( ~( Xt0 @ ( Xh @ Xt0 ) ) ) & 13.66/2.35 ( ![Xq0:( $i > $o )]: 13.66/2.35 ( ( ~( Xq0 @ Xz ) ) | ( Xq0 @ ( Xh @ Xt0 ) ) ) ) ) ) ) ) ) ) ) ) ) | 13.66/2.35 ( ?[Xp:( $i > $o ),Xq:( $i > $o )]: 13.66/2.35 ( ( ?[Xx:$i]: ( ~( ( Xp @ Xx ) <=> ( Xq @ Xx ) ) ) ) & 13.66/2.35 ( ![Xq_31:( $i > $o )]: 13.66/2.35 ( ( Xq_31 @ ( Xh @ Xq ) ) | ( ~( Xq_31 @ ( Xh @ Xp ) ) ) ) ) ) ) ))). 13.66/2.35 thf(zf_stmt_0, negated_conjecture, 13.66/2.35 (~( ![Xh:( ( $i > $o ) > $i )]: 13.66/2.35 ( ( ![Xt:( $i > $o )]: 13.66/2.35 ( ( Xt @ ( Xh @ Xt ) ) | 13.66/2.35 ( ?[Xq:( $i > $o )]: 13.66/2.35 ( ( ~( Xq @ ( Xh @ Xt ) ) ) & 13.66/2.35 ( Xq @ 13.66/2.35 ( Xh @ 13.66/2.35 ( ^[Xz:$i]: 13.66/2.35 ( ?[Xt0:( $i > $o )]: 13.66/2.35 ( ( ~( Xt0 @ ( Xh @ Xt0 ) ) ) & 13.66/2.35 ( ![Xq0:( $i > $o )]: 13.66/2.35 ( ( ~( Xq0 @ Xz ) ) | ( Xq0 @ ( Xh @ Xt0 ) ) ) ) ) ) ) ) ) ) ) ) ) | 13.66/2.35 ( ?[Xp:( $i > $o ),Xq:( $i > $o )]: 13.66/2.35 ( ( ?[Xx:$i]: ( ~( ( Xp @ Xx ) <=> ( Xq @ Xx ) ) ) ) & 13.66/2.35 ( ![Xq_31:( $i > $o )]: 13.66/2.35 ( ( Xq_31 @ ( Xh @ Xq ) ) | ( ~( Xq_31 @ ( Xh @ Xp ) ) ) ) ) ) ) ) )), 13.66/2.35 inference('cnf.neg', [status(esa)], [cTHM143_EXPANDB])). 13.66/2.35 thf(zip_derived_cl0, plain, 13.66/2.35 (~ (((!!) @ (^[Y0 : ($i > $o) > $i]: 13.66/2.35 (((((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((Y1 @ (Y0 @ Y1)) | 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ (Y0 @ Y1)))) & 13.66/2.35 (Y2 @ 13.66/2.35 (Y0 @ 13.66/2.35 (^[Y3 : $i]: 13.66/2.35 (((??) @ (^[Y4 : $i > $o]: 13.66/2.35 (((( 13.66/2.35 (~) @ ( 13.66/2.35 Y4 @ 13.66/2.35 (Y0 @ Y4)))) & 13.66/2.35 (( 13.66/2.35 (!!) @ ( 13.66/2.35 ^[Y5 : $i > $o]: 13.66/2.35 (( 13.66/2.35 (( 13.66/2.35 (~) @ ( 13.66/2.35 Y5 @ Y3))) | 13.66/2.35 (Y5 @ 13.66/2.35 ( 13.66/2.35 Y0 @ Y4))))))))))))))))))))))))) | 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((??) @ (^[Y3 : $i]: 13.66/2.35 (((~) @ (( 13.66/2.35 (Y1 @ 13.66/2.35 Y3) <=> 13.66/2.35 (Y2 @ Y3)))))))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((Y3 @ 13.66/2.35 (Y0 @ Y2)) | 13.66/2.35 (((~) @ ( 13.66/2.35 Y3 @ ( 13.66/2.35 Y0 @ Y1))))))))))))))))))))))), 13.66/2.35 inference('cnf', [status(esa)], [zf_stmt_0])). 13.66/2.35 thf(zip_derived_cl1, plain, 13.66/2.35 (~ (((((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ ('#sk1' @ Y0)) | 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y0)))) & (Y1 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y2 : $i]: 13.66/2.35 (((??) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ (Y3 @ 13.66/2.35 ('#sk1' @ Y3)))) & 13.66/2.35 (((!!) @ (^[Y4 : $i > $o]: 13.66/2.35 (( 13.66/2.35 (( 13.66/2.35 (~) @ ( 13.66/2.35 Y4 @ Y2))) | 13.66/2.35 (Y4 @ 13.66/2.35 ( 13.66/2.35 '#sk1' @ 13.66/2.35 Y3))))))))))))))))))))))))) | 13.66/2.35 (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((??) @ (^[Y2 : $i]: 13.66/2.35 (((~) @ (((Y0 @ Y2) <=> (Y1 @ 13.66/2.35 Y2)))))))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((Y2 @ ('#sk1' @ Y1)) | 13.66/2.35 (((~) @ (Y2 @ ('#sk1' @ Y0)))))))))))))))))))), 13.66/2.35 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 13.66/2.35 thf(zip_derived_cl2, plain, 13.66/2.35 (~ (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ ('#sk1' @ Y0)) | 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y0)))) & (Y1 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y2 : $i]: 13.66/2.35 (((??) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ (Y3 @ 13.66/2.35 ('#sk1' @ Y3)))) & 13.66/2.35 (((!!) @ (^[Y4 : $i > $o]: 13.66/2.35 (((( 13.66/2.35 (~) @ ( 13.66/2.35 Y4 @ Y2))) | 13.66/2.35 (Y4 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y3)))))))))))))))))))))))))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])). 13.66/2.35 thf(zip_derived_cl4, plain, 13.66/2.35 (~ ((('#sk2' @ ('#sk1' @ '#sk2')) | 13.66/2.35 (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ '#sk2')))) & (Y0 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y1 : $i]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ ('#sk1' @ Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ (Y3 @ Y1))) | 13.66/2.35 (Y3 @ ('#sk1' @ Y2))))))))))))))))))))))), 13.66/2.35 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 13.66/2.35 thf(zip_derived_cl7, plain, (~ ('#sk2' @ ('#sk1' @ '#sk2'))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 13.66/2.35 thf(zip_derived_cl8, plain, 13.66/2.35 (~ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ '#sk2')))) & (Y0 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y1 : $i]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ ('#sk1' @ Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ (Y3 @ Y1))) | 13.66/2.35 (Y3 @ ('#sk1' @ Y2))))))))))))))))))))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 13.66/2.35 thf(zip_derived_cl11, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 ~ (((((~) @ (X2 @ ('#sk1' @ '#sk2')))) & (X2 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y0 : $i]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | (Y2 @ 13.66/2.35 ('#sk1' @ Y1)))))))))))))))))), 13.66/2.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 13.66/2.35 thf(zip_derived_cl309, plain, 13.66/2.35 (~ (((((~) @ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ '#sk2')))) | 13.66/2.35 (Y1 @ ('#sk1' @ Y0)))))))))))))) & 13.66/2.35 (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y2 : $i]: 13.66/2.35 (((??) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ ( 13.66/2.35 Y3 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y3)))) & 13.66/2.35 (((!!) @ ( 13.66/2.35 ^[Y4 : $i > $o]: 13.66/2.35 ( 13.66/2.35 ( 13.66/2.35 (( 13.66/2.35 (~) @ ( 13.66/2.35 Y4 @ Y2))) | 13.66/2.35 (Y4 @ 13.66/2.35 ( 13.66/2.35 '#sk1' @ 13.66/2.35 Y3))))))))))))))))) | 13.66/2.35 (Y1 @ ('#sk1' @ Y0))))))))))))))), 13.66/2.35 inference('triggered_bool_instantiation', [status(thm)], 13.66/2.35 [zip_derived_cl11])). 13.66/2.35 thf(zip_derived_cl481, plain, 13.66/2.35 (( (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ '#sk2')))) | 13.66/2.35 (Y1 @ ('#sk1' @ Y0)))))))))))) 13.66/2.35 | ~ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y2 : $i]: 13.66/2.35 (((??) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ ( 13.66/2.35 Y3 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y3)))) & 13.66/2.35 (((!!) @ ( 13.66/2.35 ^[Y4 : $i > $o]: 13.66/2.35 (( 13.66/2.35 (( 13.66/2.35 (~) @ ( 13.66/2.35 Y4 @ Y2))) | 13.66/2.35 (Y4 @ 13.66/2.35 ( 13.66/2.35 '#sk1' @ 13.66/2.35 Y3))))))))))))))))) | 13.66/2.35 (Y1 @ ('#sk1' @ Y0)))))))))))))), 13.66/2.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl309])). 13.66/2.35 thf(zip_derived_cl482, plain, 13.66/2.35 (( (((((~) @ ('#sk710' @ ('#sk1' @ '#sk2') @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2')))))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ '#sk2')))) | (Y0 @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2'))))))))))) 13.66/2.35 | ~ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y2 : $i]: 13.66/2.35 (((??) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ ( 13.66/2.35 Y3 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y3)))) & 13.66/2.35 (((!!) @ ( 13.66/2.35 ^[Y4 : $i > $o]: 13.66/2.35 (( 13.66/2.35 (( 13.66/2.35 (~) @ ( 13.66/2.35 Y4 @ Y2))) | 13.66/2.35 (Y4 @ 13.66/2.35 ( 13.66/2.35 '#sk1' @ 13.66/2.35 Y3))))))))))))))))) | 13.66/2.35 (Y1 @ ('#sk1' @ Y0)))))))))))))), 13.66/2.35 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl481])). 13.66/2.35 thf(zip_derived_cl484, plain, 13.66/2.35 (( (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ '#sk2')))) | (Y0 @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2'))))))))) 13.66/2.35 | ~ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y2 : $i]: 13.66/2.35 (((??) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ ( 13.66/2.35 Y3 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y3)))) & 13.66/2.35 (((!!) @ ( 13.66/2.35 ^[Y4 : $i > $o]: 13.66/2.35 (( 13.66/2.35 (( 13.66/2.35 (~) @ ( 13.66/2.35 Y4 @ Y2))) | 13.66/2.35 (Y4 @ 13.66/2.35 ( 13.66/2.35 '#sk1' @ 13.66/2.35 Y3))))))))))))))))) | 13.66/2.35 (Y1 @ ('#sk1' @ Y0)))))))))))))), 13.66/2.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl482])). 13.66/2.35 thf(zip_derived_cl489, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 ( (((((~) @ (X2 @ ('#sk1' @ '#sk2')))) | (X2 @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2')))))) 13.66/2.35 | ~ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y2 : $i]: 13.66/2.35 (((??) @ (^[Y3 : $i > $o]: 13.66/2.35 (((( 13.66/2.35 (~) @ ( 13.66/2.35 Y3 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y3)))) & 13.66/2.35 (( 13.66/2.35 (!!) @ ( 13.66/2.35 ^[Y4 : $i > $o]: 13.66/2.35 (( 13.66/2.35 (( 13.66/2.35 (~) @ ( 13.66/2.35 Y4 @ Y2))) | 13.66/2.35 (Y4 @ 13.66/2.35 ( 13.66/2.35 '#sk1' @ 13.66/2.35 Y3))))))))))))))))) | 13.66/2.35 (Y1 @ ('#sk1' @ Y0)))))))))))))), 13.66/2.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl484])). 13.66/2.35 thf(zip_derived_cl494, plain, 13.66/2.35 (( ('#form729') 13.66/2.35 | ~ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y2 : $i]: 13.66/2.35 (((??) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ ( 13.66/2.35 Y3 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y3)))) & 13.66/2.35 (((!!) @ ( 13.66/2.35 ^[Y4 : $i > $o]: 13.66/2.35 (( 13.66/2.35 (( 13.66/2.35 (~) @ ( 13.66/2.35 Y4 @ Y2))) | 13.66/2.35 (Y4 @ 13.66/2.35 ( 13.66/2.35 '#sk1' @ 13.66/2.35 Y3))))))))))))))))) | 13.66/2.35 (Y1 @ ('#sk1' @ Y0)))))))))))))), 13.66/2.35 define([status(thm)])). 13.66/2.35 thf(zip_derived_cl495, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 (~ (((((~) @ (X2 @ ('#sk1' @ X2)))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y1 : $i]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ 13.66/2.35 ('#sk1' @ Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((( 13.66/2.35 (~) @ ( 13.66/2.35 Y3 @ Y1))) | 13.66/2.35 (Y3 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y2))))))))))))))))) | 13.66/2.35 (Y0 @ ('#sk1' @ X2))))))))) 13.66/2.35 | ('#form729'))), 13.66/2.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl494])). 13.66/2.35 thf(zip_derived_cl502, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 ( (X2 @ ('#sk1' @ X2)) 13.66/2.35 | ~ (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y1 : $i]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ 13.66/2.35 ('#sk1' @ Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((( 13.66/2.35 (~) @ ( 13.66/2.35 Y3 @ Y1))) | 13.66/2.35 (Y3 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y2))))))))))))))))) | 13.66/2.35 (Y0 @ ('#sk1' @ X2))))))) 13.66/2.35 | ('#form729'))), 13.66/2.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl495])). 13.66/2.35 thf(zip_derived_cl506, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 (~ (((((~) @ ('#sk717' @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y0 : $i]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | 13.66/2.35 (Y2 @ ('#sk1' @ Y1)))))))))))))) @ 13.66/2.35 X2 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y0 : $i]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | 13.66/2.35 (Y2 @ ('#sk1' @ Y1))))))))))))))))) | 13.66/2.35 ('#sk717' @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y0 : $i]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | (Y2 @ 13.66/2.35 ('#sk1' @ Y1)))))))))))))) @ 13.66/2.35 X2 @ ('#sk1' @ X2)))) 13.66/2.35 | ('#form729') 13.66/2.35 | (X2 @ ('#sk1' @ X2)))), 13.66/2.35 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl502])). 13.66/2.35 thf(zip_derived_cl11, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 ~ (((((~) @ (X2 @ ('#sk1' @ '#sk2')))) & (X2 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y0 : $i]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | (Y2 @ 13.66/2.35 ('#sk1' @ Y1)))))))))))))))))), 13.66/2.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 13.66/2.35 thf(zip_derived_cl14, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 ( (X2 @ ('#sk1' @ '#sk2')) 13.66/2.35 | ~ (X2 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y0 : $i]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | (Y2 @ 13.66/2.35 ('#sk1' @ Y1))))))))))))))))), 13.66/2.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])). 13.66/2.35 thf(zip_derived_cl336, plain, 13.66/2.35 ( ((^[Y0 : $i]: 13.66/2.35 (((Y0) = ('#sk1' @ 13.66/2.35 (^[Y1 : $i]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ ('#sk1' @ Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ (Y3 @ Y1))) | (Y3 @ 13.66/2.35 ('#sk1' @ Y2))))))))))))))))) @ 13.66/2.35 ('#sk1' @ '#sk2'))), 13.66/2.35 inference('ho_elim_pred', [status(thm)], [zip_derived_cl14])). 13.66/2.35 thf(zip_derived_cl346, plain, 13.66/2.35 ( ((('#sk1' @ '#sk2') = ('#sk1' @ 13.66/2.35 (^[Y0 : $i]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | (Y2 @ 13.66/2.35 ('#sk1' @ Y1))))))))))))))))), 13.66/2.35 inference('ho_norm', [status(thm)], [zip_derived_cl336])). 13.66/2.35 thf(zip_derived_cl347, plain, 13.66/2.35 ((('#sk1' @ '#sk2') 13.66/2.35 = ('#sk1' @ 13.66/2.35 (^[Y0 : $i]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | (Y2 @ 13.66/2.35 ('#sk1' @ Y1)))))))))))))))), 13.66/2.35 inference('simplify nested equalities', [status(thm)], 13.66/2.35 [zip_derived_cl346])). 13.66/2.35 thf(zip_derived_cl347, plain, 13.66/2.35 ((('#sk1' @ '#sk2') 13.66/2.35 = ('#sk1' @ 13.66/2.35 (^[Y0 : $i]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | (Y2 @ 13.66/2.35 ('#sk1' @ Y1)))))))))))))))), 13.66/2.35 inference('simplify nested equalities', [status(thm)], 13.66/2.35 [zip_derived_cl346])). 13.66/2.35 thf(zip_derived_cl347, plain, 13.66/2.35 ((('#sk1' @ '#sk2') 13.66/2.35 = ('#sk1' @ 13.66/2.35 (^[Y0 : $i]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | (Y2 @ 13.66/2.35 ('#sk1' @ Y1)))))))))))))))), 13.66/2.35 inference('simplify nested equalities', [status(thm)], 13.66/2.35 [zip_derived_cl346])). 13.66/2.35 thf(zip_derived_cl507, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 (~ (((((~) @ ('#sk717' @ ('#sk1' @ '#sk2') @ X2 @ ('#sk1' @ '#sk2')))) | 13.66/2.35 ('#sk717' @ ('#sk1' @ '#sk2') @ X2 @ ('#sk1' @ X2)))) 13.66/2.35 | ('#form729') 13.66/2.35 | (X2 @ ('#sk1' @ X2)))), 13.66/2.35 inference('demod', [status(thm)], 13.66/2.35 [zip_derived_cl506, zip_derived_cl347, zip_derived_cl347, 13.66/2.35 zip_derived_cl347])). 13.66/2.35 thf(zip_derived_cl508, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 ( ('#sk717' @ ('#sk1' @ '#sk2') @ X2 @ ('#sk1' @ '#sk2')) 13.66/2.35 | (X2 @ ('#sk1' @ X2)) 13.66/2.35 | ('#form729'))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl507])). 13.66/2.35 thf(zip_derived_cl3, plain, 13.66/2.35 (~ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((??) @ (^[Y2 : $i]: 13.66/2.35 (((~) @ (((Y0 @ Y2) <=> (Y1 @ 13.66/2.35 Y2)))))))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((Y2 @ ('#sk1' @ Y1)) | 13.66/2.35 (((~) @ (Y2 @ ('#sk1' @ Y0)))))))))))))))))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])). 13.66/2.35 thf(zip_derived_cl5, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 ~ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((??) @ (^[Y1 : $i]: 13.66/2.35 (((~) @ (((X2 @ Y1) <=> (Y0 @ Y1)))))))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((Y1 @ ('#sk1' @ Y0)) | 13.66/2.35 (((~) @ (Y1 @ ('#sk1' @ X2))))))))))))))), 13.66/2.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 13.66/2.35 thf(zip_derived_cl9, plain, 13.66/2.35 (![X2 : $i > $o, X4 : $i > $o]: 13.66/2.35 ~ (((((??) @ (^[Y0 : $i]: (((~) @ (((X2 @ Y0) <=> (X4 @ Y0)))))))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ ('#sk1' @ X4)) | 13.66/2.35 (((~) @ (Y0 @ ('#sk1' @ X2)))))))))))), 13.66/2.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 13.66/2.35 thf(zip_derived_cl13, plain, 13.66/2.35 (![X2 : $i > $o, X4 : $i > $o]: 13.66/2.35 (~ (((??) @ (^[Y0 : $i]: (((~) @ (((X2 @ Y0) <=> (X4 @ Y0)))))))) 13.66/2.35 | ~ (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ ('#sk1' @ X4)) | 13.66/2.35 (((~) @ (Y0 @ ('#sk1' @ X2))))))))))), 13.66/2.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl9])). 13.66/2.35 thf(zip_derived_cl15, plain, 13.66/2.35 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 13.66/2.35 ( (((X2 @ X6) <=> (X4 @ X6))) 13.66/2.35 | ~ (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ ('#sk1' @ X4)) | 13.66/2.35 (((~) @ (Y0 @ ('#sk1' @ X2))))))))))), 13.66/2.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 13.66/2.35 thf(zip_derived_cl16, plain, 13.66/2.35 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 13.66/2.35 (((X2 @ X6) = (X4 @ X6)) 13.66/2.35 | ~ (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ ('#sk1' @ X4)) | 13.66/2.35 (((~) @ (Y0 @ ('#sk1' @ X2))))))))))), 13.66/2.35 inference('simplify nested equalities', [status(thm)], [zip_derived_cl15])). 13.66/2.35 thf(zip_derived_cl20, plain, 13.66/2.35 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 13.66/2.35 (~ ((('#sk17' @ X2 @ X4 @ ('#sk1' @ X4)) | 13.66/2.35 (((~) @ ('#sk17' @ X2 @ X4 @ ('#sk1' @ X2)))))) 13.66/2.35 | ((X2 @ X6) = (X4 @ X6)))), 13.66/2.35 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl16])). 13.66/2.35 thf(zip_derived_cl22, plain, 13.66/2.35 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 13.66/2.35 ( ('#sk17' @ X2 @ X4 @ ('#sk1' @ X2)) | ((X2 @ X6) = (X4 @ X6)))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])). 13.66/2.35 thf(zip_derived_cl61, plain, 13.66/2.35 (![X2 : $i > $o, X4 : $i > $o]: 13.66/2.35 (((X2) = (X4)) | ('#sk17' @ X2 @ X4 @ ('#sk1' @ X2)))), 13.66/2.35 inference('ho_ext_pos_general', [status(thm)], [zip_derived_cl22])). 13.66/2.35 thf(zip_derived_cl489, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 ( (((((~) @ (X2 @ ('#sk1' @ '#sk2')))) | (X2 @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2')))))) 13.66/2.35 | ~ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y2 : $i]: 13.66/2.35 (((??) @ (^[Y3 : $i > $o]: 13.66/2.35 (((( 13.66/2.35 (~) @ ( 13.66/2.35 Y3 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y3)))) & 13.66/2.35 (( 13.66/2.35 (!!) @ ( 13.66/2.35 ^[Y4 : $i > $o]: 13.66/2.35 (( 13.66/2.35 (( 13.66/2.35 (~) @ ( 13.66/2.35 Y4 @ Y2))) | 13.66/2.35 (Y4 @ 13.66/2.35 ( 13.66/2.35 '#sk1' @ 13.66/2.35 Y3))))))))))))))))) | 13.66/2.35 (Y1 @ ('#sk1' @ Y0)))))))))))))), 13.66/2.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl484])). 13.66/2.35 thf(zip_derived_cl494, plain, 13.66/2.35 (( ('#form729') 13.66/2.35 | ~ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y2 : $i]: 13.66/2.35 (((??) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ ( 13.66/2.35 Y3 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y3)))) & 13.66/2.35 (((!!) @ ( 13.66/2.35 ^[Y4 : $i > $o]: 13.66/2.35 (( 13.66/2.35 (( 13.66/2.35 (~) @ ( 13.66/2.35 Y4 @ Y2))) | 13.66/2.35 (Y4 @ 13.66/2.35 ( 13.66/2.35 '#sk1' @ 13.66/2.35 Y3))))))))))))))))) | 13.66/2.35 (Y1 @ ('#sk1' @ Y0)))))))))))))), 13.66/2.35 define([status(thm)])). 13.66/2.35 thf(zip_derived_cl499, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 (~ ('#form729') 13.66/2.35 | (((((~) @ (X2 @ ('#sk1' @ '#sk2')))) | (X2 @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2')))))))), 13.66/2.35 inference('renaming', [status(thm)], 13.66/2.35 [zip_derived_cl489, zip_derived_cl494])). 13.66/2.35 thf(zip_derived_cl501, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 (~ (X2 @ ('#sk1' @ '#sk2')) 13.66/2.35 | (X2 @ ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2')))) 13.66/2.35 | ~ ('#form729'))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl499])). 13.66/2.35 thf(zip_derived_cl21, plain, 13.66/2.35 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]: 13.66/2.35 (~ ('#sk17' @ X2 @ X4 @ ('#sk1' @ X4)) | ((X2 @ X6) = (X4 @ X6)))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])). 13.66/2.35 thf(zip_derived_cl31, plain, 13.66/2.35 (![X2 : $i > $o, X4 : $i > $o]: 13.66/2.35 (((X2) = (X4)) | ~ ('#sk17' @ X2 @ X4 @ ('#sk1' @ X4)))), 13.66/2.35 inference('ho_ext_pos_general', [status(thm)], [zip_derived_cl21])). 13.66/2.35 thf(zip_derived_cl518, plain, 13.66/2.35 (![X0 : $i > $o]: 13.66/2.35 (~ ('#form729') 13.66/2.35 | ~ ('#sk17' @ X0 @ ('#sk710' @ ('#sk1' @ '#sk2')) @ 13.66/2.35 ('#sk1' @ '#sk2')) 13.66/2.35 | ((X0) = ('#sk710' @ ('#sk1' @ '#sk2'))))), 13.66/2.35 inference('sup-', [status(thm)], [zip_derived_cl501, zip_derived_cl31])). 13.66/2.35 thf(zip_derived_cl628, plain, 13.66/2.35 (((('#sk2') = ('#sk710' @ ('#sk1' @ '#sk2'))) 13.66/2.35 | (('#sk2') = ('#sk710' @ ('#sk1' @ '#sk2'))) 13.66/2.35 | ~ ('#form729'))), 13.66/2.35 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl518])). 13.66/2.35 thf(zip_derived_cl630, plain, 13.66/2.35 ((~ ('#form729') | (('#sk2') = ('#sk710' @ ('#sk1' @ '#sk2'))))), 13.66/2.35 inference('simplify', [status(thm)], [zip_derived_cl628])). 13.66/2.35 thf(zip_derived_cl634, plain, 13.66/2.35 (![X1 : $i]: 13.66/2.35 ((('#sk2' @ X1) = ('#sk710' @ ('#sk1' @ '#sk2') @ X1)) 13.66/2.35 | ~ ('#form729'))), 13.66/2.35 inference('ho_complete_eq', [status(thm)], [zip_derived_cl630])). 13.66/2.35 thf(zip_derived_cl646, plain, 13.66/2.35 (![X1 : $i]: 13.66/2.35 ( ('#sk2' @ X1) 13.66/2.35 | ~ ('#sk710' @ ('#sk1' @ '#sk2') @ X1) 13.66/2.35 | ~ ('#form729'))), 13.66/2.35 inference('eq_elim', [status(thm)], [zip_derived_cl634])). 13.66/2.35 thf(zip_derived_cl630, plain, 13.66/2.35 ((~ ('#form729') | (('#sk2') = ('#sk710' @ ('#sk1' @ '#sk2'))))), 13.66/2.35 inference('simplify', [status(thm)], [zip_derived_cl628])). 13.66/2.35 thf(zip_derived_cl630, plain, 13.66/2.35 ((~ ('#form729') | (('#sk2') = ('#sk710' @ ('#sk1' @ '#sk2'))))), 13.66/2.35 inference('simplify', [status(thm)], [zip_derived_cl628])). 13.66/2.35 thf(zip_derived_cl630, plain, 13.66/2.35 ((~ ('#form729') | (('#sk2') = ('#sk710' @ ('#sk1' @ '#sk2'))))), 13.66/2.35 inference('simplify', [status(thm)], [zip_derived_cl628])). 13.66/2.35 thf(zip_derived_cl5, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 ~ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((??) @ (^[Y1 : $i]: 13.66/2.35 (((~) @ (((X2 @ Y1) <=> (Y0 @ Y1)))))))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((Y1 @ ('#sk1' @ Y0)) | 13.66/2.35 (((~) @ (Y1 @ ('#sk1' @ X2))))))))))))))), 13.66/2.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 13.66/2.35 thf(zip_derived_cl6, plain, 13.66/2.35 (~ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((??) @ (^[Y1 : $i]: 13.66/2.35 (((~) @ ((('#sk2' @ Y1) <=> (Y0 @ Y1)))))))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((Y1 @ ('#sk1' @ Y0)) | 13.66/2.35 (((~) @ (Y1 @ ('#sk1' @ '#sk2'))))))))))))))), 13.66/2.35 inference('triggered_bool_instantiation', [status(thm)], 13.66/2.35 [zip_derived_cl5])). 13.66/2.35 thf(zip_derived_cl129, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 ~ (((((??) @ (^[Y0 : $i]: (((~) @ ((('#sk2' @ Y0) <=> (X2 @ Y0)))))))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ ('#sk1' @ X2)) | 13.66/2.35 (((~) @ (Y0 @ ('#sk1' @ '#sk2')))))))))))), 13.66/2.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 13.66/2.35 thf(zip_derived_cl308, plain, 13.66/2.35 (~ (((((??) @ (^[Y0 : $i]: 13.66/2.35 (((~) @ ((('#sk2' @ Y0) <=> 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | 13.66/2.35 (Y2 @ 13.66/2.35 ('#sk1' @ Y1))))))))))))))))))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y1 : $i]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ ('#sk1' @ Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ (Y3 @ Y1))) | 13.66/2.35 (Y3 @ ('#sk1' @ Y2))))))))))))))) | 13.66/2.35 (((~) @ (Y0 @ ('#sk1' @ '#sk2')))))))))))), 13.66/2.35 inference('triggered_bool_instantiation', [status(thm)], 13.66/2.35 [zip_derived_cl129])). 13.66/2.35 thf(zip_derived_cl459, plain, 13.66/2.35 ((~ (((??) @ (^[Y0 : $i]: 13.66/2.35 (((~) @ ((('#sk2' @ Y0) <=> 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | 13.66/2.35 (Y2 @ 13.66/2.35 ('#sk1' @ Y1))))))))))))))))))) 13.66/2.35 | ~ (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y1 : $i]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ ('#sk1' @ Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ (Y3 @ Y1))) | 13.66/2.35 (Y3 @ ('#sk1' @ Y2))))))))))))))) | 13.66/2.35 (((~) @ (Y0 @ ('#sk1' @ '#sk2'))))))))))), 13.66/2.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl308])). 13.66/2.35 thf(zip_derived_cl460, plain, 13.66/2.35 (![X2 : $i]: 13.66/2.35 ( ((('#sk2' @ X2) <=> 13.66/2.35 (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ X2))) | (Y1 @ 13.66/2.35 ('#sk1' @ Y0)))))))))))))) 13.66/2.35 | ~ (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y1 : $i]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ ('#sk1' @ Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ (Y3 @ Y1))) | 13.66/2.35 (Y3 @ 13.66/2.35 ('#sk1' @ Y2))))))))))))))) | 13.66/2.35 (((~) @ (Y0 @ ('#sk1' @ '#sk2'))))))))))), 13.66/2.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl459])). 13.66/2.35 thf(zip_derived_cl461, plain, 13.66/2.35 (![X2 : $i]: 13.66/2.35 ((('#sk2' @ X2) 13.66/2.35 = (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ X2))) | (Y1 @ 13.66/2.35 ('#sk1' @ Y0))))))))))))) 13.66/2.35 | ~ (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y1 : $i]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ ('#sk1' @ Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ (Y3 @ Y1))) | 13.66/2.35 (Y3 @ 13.66/2.35 ('#sk1' @ Y2))))))))))))))) | 13.66/2.35 (((~) @ (Y0 @ ('#sk1' @ '#sk2'))))))))))), 13.66/2.35 inference('simplify nested equalities', [status(thm)], 13.66/2.35 [zip_derived_cl460])). 13.66/2.35 thf(zip_derived_cl462, plain, 13.66/2.35 (![X2 : $i]: 13.66/2.35 (~ ((('#sk709' @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y0 : $i]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | (Y2 @ 13.66/2.35 ('#sk1' @ Y1))))))))))))))) | 13.66/2.35 (((~) @ ('#sk709' @ ('#sk1' @ '#sk2')))))) 13.66/2.35 | (('#sk2' @ X2) 13.66/2.35 = (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ X2))) | (Y1 @ 13.66/2.35 ('#sk1' @ Y0))))))))))))))), 13.66/2.35 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl461])). 13.66/2.35 thf(zip_derived_cl347, plain, 13.66/2.35 ((('#sk1' @ '#sk2') 13.66/2.35 = ('#sk1' @ 13.66/2.35 (^[Y0 : $i]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | (Y2 @ 13.66/2.35 ('#sk1' @ Y1)))))))))))))))), 13.66/2.35 inference('simplify nested equalities', [status(thm)], 13.66/2.35 [zip_derived_cl346])). 13.66/2.35 thf(zip_derived_cl463, plain, 13.66/2.35 (![X2 : $i]: 13.66/2.35 (~ ((('#sk709' @ ('#sk1' @ '#sk2')) | 13.66/2.35 (((~) @ ('#sk709' @ ('#sk1' @ '#sk2')))))) 13.66/2.35 | (('#sk2' @ X2) 13.66/2.35 = (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ X2))) | (Y1 @ 13.66/2.35 ('#sk1' @ Y0))))))))))))))), 13.66/2.35 inference('demod', [status(thm)], [zip_derived_cl462, zip_derived_cl347])). 13.66/2.35 thf(zip_derived_cl464, plain, 13.66/2.35 (![X2 : $i]: 13.66/2.35 (('#sk2' @ X2) 13.66/2.35 = (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ X2))) | (Y1 @ 13.66/2.35 ('#sk1' @ Y0)))))))))))))), 13.66/2.35 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl463])). 13.66/2.35 thf(zip_derived_cl469, plain, 13.66/2.35 (![X2 : $i]: 13.66/2.35 (('#sk2' @ X2) 13.66/2.35 = ((^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ (^[Y1 : $i]: (Y0 @ Y1)))))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ X2))) | (Y1 @ 13.66/2.35 ('#sk1' @ (^[Y2 : $i]: (Y0 @ Y2)))))))))))) @ 13.66/2.35 ('#sk710' @ X2)))), 13.66/2.35 inference('quantifier_rw', [status(thm)], [zip_derived_cl464])). 13.66/2.35 thf(zip_derived_cl470, plain, 13.66/2.35 (![X2 : $i]: 13.66/2.35 (('#sk2' @ X2) 13.66/2.35 = (((((~) @ ('#sk710' @ X2 @ ('#sk1' @ ('#sk710' @ X2))))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ X2))) | (Y0 @ 13.66/2.35 ('#sk1' @ ('#sk710' @ X2)))))))))))), 13.66/2.35 inference('ho_norm', [status(thm)], [zip_derived_cl469])). 13.66/2.35 thf(zip_derived_cl633, plain, 13.66/2.35 (((('#sk2' @ ('#sk1' @ '#sk2')) 13.66/2.35 = (((((~) @ ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ '#sk2')))) | (Y0 @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2')))))))))))) 13.66/2.35 | ~ ('#form729'))), 13.66/2.35 inference('sup+', [status(thm)], [zip_derived_cl630, zip_derived_cl470])). 13.66/2.35 thf(zip_derived_cl7, plain, (~ ('#sk2' @ ('#sk1' @ '#sk2'))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 13.66/2.35 thf(zip_derived_cl636, plain, 13.66/2.35 ((~ (((((~) @ ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ '#sk2')))) | (Y0 @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2'))))))))))) 13.66/2.35 | ~ ('#form729'))), 13.66/2.35 inference('demod', [status(thm)], [zip_derived_cl633, zip_derived_cl7])). 13.66/2.35 thf(zip_derived_cl966, plain, 13.66/2.35 (( ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')) 13.66/2.35 | ~ (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ '#sk2')))) | (Y0 @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2'))))))))) 13.66/2.35 | ~ ('#form729'))), 13.66/2.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl636])). 13.66/2.35 thf(zip_derived_cl967, plain, 13.66/2.35 ((~ (((((~) @ ('#sk717' @ ('#sk1' @ '#sk2') @ 13.66/2.35 ('#sk710' @ ('#sk1' @ '#sk2')) @ ('#sk1' @ '#sk2')))) | 13.66/2.35 ('#sk717' @ ('#sk1' @ '#sk2') @ ('#sk710' @ ('#sk1' @ '#sk2')) @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2')))))) 13.66/2.35 | ~ ('#form729') 13.66/2.35 | ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')))), 13.66/2.35 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl966])). 13.66/2.35 thf(zip_derived_cl969, plain, 13.66/2.35 ((~ ('#sk717' @ ('#sk1' @ '#sk2') @ ('#sk710' @ ('#sk1' @ '#sk2')) @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2')))) 13.66/2.35 | ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')) 13.66/2.35 | ~ ('#form729'))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl967])). 13.66/2.35 thf(zip_derived_cl971, plain, 13.66/2.35 ((~ ('#sk717' @ ('#sk1' @ '#sk2') @ '#sk2' @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2')))) 13.66/2.35 | ~ ('#form729') 13.66/2.35 | ~ ('#form729') 13.66/2.35 | ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')))), 13.66/2.35 inference('sup-', [status(thm)], [zip_derived_cl630, zip_derived_cl969])). 13.66/2.35 thf(zip_derived_cl974, plain, 13.66/2.35 (( ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')) 13.66/2.35 | ~ ('#form729') 13.66/2.35 | ~ ('#sk717' @ ('#sk1' @ '#sk2') @ '#sk2' @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2')))))), 13.66/2.35 inference('simplify', [status(thm)], [zip_derived_cl971])). 13.66/2.35 thf(zip_derived_cl1025, plain, 13.66/2.35 ((~ ('#sk717' @ ('#sk1' @ '#sk2') @ '#sk2' @ ('#sk1' @ '#sk2')) 13.66/2.35 | ~ ('#form729') 13.66/2.35 | ~ ('#form729') 13.66/2.35 | ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')))), 13.66/2.35 inference('sup-', [status(thm)], [zip_derived_cl630, zip_derived_cl974])). 13.66/2.35 thf(zip_derived_cl1030, plain, 13.66/2.35 (( ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')) 13.66/2.35 | ~ ('#form729') 13.66/2.35 | ~ ('#sk717' @ ('#sk1' @ '#sk2') @ '#sk2' @ ('#sk1' @ '#sk2')))), 13.66/2.35 inference('simplify', [status(thm)], [zip_derived_cl1025])). 13.66/2.35 thf(zip_derived_cl630, plain, 13.66/2.35 ((~ ('#form729') | (('#sk2') = ('#sk710' @ ('#sk1' @ '#sk2'))))), 13.66/2.35 inference('simplify', [status(thm)], [zip_derived_cl628])). 13.66/2.35 thf(zip_derived_cl501, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 (~ (X2 @ ('#sk1' @ '#sk2')) 13.66/2.35 | (X2 @ ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2')))) 13.66/2.35 | ~ ('#form729'))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl499])). 13.66/2.35 thf(zip_derived_cl550, plain, 13.66/2.35 ((~ ('#form729') 13.66/2.35 | ((^[Y0 : $i]: (((Y0) = ('#sk1' @ '#sk2')))) @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2')))))), 13.66/2.35 inference('ho_elim_pred', [status(thm)], [zip_derived_cl501])). 13.66/2.35 thf(zip_derived_cl566, plain, 13.66/2.35 ((~ ('#form729') 13.66/2.35 | ((('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2'))) = ('#sk1' @ '#sk2'))))), 13.66/2.35 inference('ho_norm', [status(thm)], [zip_derived_cl550])). 13.66/2.35 thf(zip_derived_cl567, plain, 13.66/2.35 ((~ ('#form729') 13.66/2.35 | (('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2'))) = ('#sk1' @ '#sk2')))), 13.66/2.35 inference('simplify nested equalities', [status(thm)], 13.66/2.35 [zip_derived_cl566])). 13.66/2.35 thf(zip_derived_cl470, plain, 13.66/2.35 (![X2 : $i]: 13.66/2.35 (('#sk2' @ X2) 13.66/2.35 = (((((~) @ ('#sk710' @ X2 @ ('#sk1' @ ('#sk710' @ X2))))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ X2))) | (Y0 @ 13.66/2.35 ('#sk1' @ ('#sk710' @ X2)))))))))))), 13.66/2.35 inference('ho_norm', [status(thm)], [zip_derived_cl469])). 13.66/2.35 thf(zip_derived_cl607, plain, 13.66/2.35 (((('#sk2' @ ('#sk1' @ '#sk2')) 13.66/2.35 = (((((~) @ ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ '#sk2')))) | (Y0 @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2')))))))))))) 13.66/2.35 | ~ ('#form729'))), 13.66/2.35 inference('sup+', [status(thm)], [zip_derived_cl567, zip_derived_cl470])). 13.66/2.35 thf(zip_derived_cl7, plain, (~ ('#sk2' @ ('#sk1' @ '#sk2'))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 13.66/2.35 thf(zip_derived_cl621, plain, 13.66/2.35 ((~ (((((~) @ ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ '#sk2')))) | (Y0 @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2'))))))))))) 13.66/2.35 | ~ ('#form729'))), 13.66/2.35 inference('demod', [status(thm)], [zip_derived_cl607, zip_derived_cl7])). 13.66/2.35 thf(zip_derived_cl960, plain, 13.66/2.35 (( ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')) 13.66/2.35 | ~ (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ '#sk2')))) | (Y0 @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2'))))))))) 13.66/2.35 | ~ ('#form729'))), 13.66/2.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl621])). 13.66/2.35 thf(zip_derived_cl961, plain, 13.66/2.35 ((~ (((((~) @ ('#sk717' @ ('#sk1' @ '#sk2') @ 13.66/2.35 ('#sk710' @ ('#sk1' @ '#sk2')) @ ('#sk1' @ '#sk2')))) | 13.66/2.35 ('#sk717' @ ('#sk1' @ '#sk2') @ ('#sk710' @ ('#sk1' @ '#sk2')) @ 13.66/2.35 ('#sk1' @ ('#sk710' @ ('#sk1' @ '#sk2')))))) 13.66/2.35 | ~ ('#form729') 13.66/2.35 | ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')))), 13.66/2.35 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl960])). 13.66/2.35 thf(zip_derived_cl962, plain, 13.66/2.35 (( ('#sk717' @ ('#sk1' @ '#sk2') @ ('#sk710' @ ('#sk1' @ '#sk2')) @ 13.66/2.35 ('#sk1' @ '#sk2')) 13.66/2.35 | ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')) 13.66/2.35 | ~ ('#form729'))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl961])). 13.66/2.35 thf(zip_derived_cl964, plain, 13.66/2.35 (( ('#sk717' @ ('#sk1' @ '#sk2') @ '#sk2' @ ('#sk1' @ '#sk2')) 13.66/2.35 | ~ ('#form729') 13.66/2.35 | ~ ('#form729') 13.66/2.35 | ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')))), 13.66/2.35 inference('sup+', [status(thm)], [zip_derived_cl630, zip_derived_cl962])). 13.66/2.35 thf(zip_derived_cl965, plain, 13.66/2.35 (( ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')) 13.66/2.35 | ~ ('#form729') 13.66/2.35 | ('#sk717' @ ('#sk1' @ '#sk2') @ '#sk2' @ ('#sk1' @ '#sk2')))), 13.66/2.35 inference('simplify', [status(thm)], [zip_derived_cl964])). 13.66/2.35 thf(zip_derived_cl1037, plain, 13.66/2.35 ((~ ('#form729') | ('#sk710' @ ('#sk1' @ '#sk2') @ ('#sk1' @ '#sk2')))), 13.66/2.35 inference('clc', [status(thm)], [zip_derived_cl1030, zip_derived_cl965])). 13.66/2.35 thf(zip_derived_cl1042, plain, 13.66/2.35 ((~ ('#form729') | ('#sk2' @ ('#sk1' @ '#sk2')) | ~ ('#form729'))), 13.66/2.35 inference('sup+', [status(thm)], [zip_derived_cl646, zip_derived_cl1037])). 13.66/2.35 thf(zip_derived_cl1044, plain, 13.66/2.35 (( ('#sk2' @ ('#sk1' @ '#sk2')) | ~ ('#form729'))), 13.66/2.35 inference('simplify', [status(thm)], [zip_derived_cl1042])). 13.66/2.35 thf(zip_derived_cl7, plain, (~ ('#sk2' @ ('#sk1' @ '#sk2'))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 13.66/2.35 thf(zip_derived_cl1048, plain, (~ ('#form729')), 13.66/2.35 inference('clc', [status(thm)], [zip_derived_cl1044, zip_derived_cl7])). 13.66/2.35 thf(zip_derived_cl1103, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 ( ('#sk717' @ ('#sk1' @ '#sk2') @ X2 @ ('#sk1' @ '#sk2')) 13.66/2.35 | (X2 @ ('#sk1' @ X2)))), 13.66/2.35 inference('demod', [status(thm)], [zip_derived_cl508, zip_derived_cl1048])). 13.66/2.35 thf(zip_derived_cl5, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 ~ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((??) @ (^[Y1 : $i]: 13.66/2.35 (((~) @ (((X2 @ Y1) <=> (Y0 @ Y1)))))))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((Y1 @ ('#sk1' @ Y0)) | 13.66/2.35 (((~) @ (Y1 @ ('#sk1' @ X2))))))))))))))), 13.66/2.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 13.66/2.35 thf(zip_derived_cl311, plain, 13.66/2.35 (~ (((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((??) @ (^[Y1 : $i]: 13.66/2.35 (((~) @ (((((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (( 13.66/2.35 (( 13.66/2.35 (~) @ ( 13.66/2.35 Y3 @ Y1))) | 13.66/2.35 (Y3 @ 13.66/2.35 ( 13.66/2.35 '#sk1' @ 13.66/2.35 Y2)))))))))))) <=> 13.66/2.35 (Y0 @ Y1)))))))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((Y1 @ ('#sk1' @ Y0)) | 13.66/2.35 (((~) @ (Y1 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y2 : $i]: 13.66/2.35 (((??) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ ( 13.66/2.35 Y3 @ 13.66/2.35 ('#sk1' @ Y3)))) & 13.66/2.35 (((!!) @ ( 13.66/2.35 ^[Y4 : $i > $o]: 13.66/2.35 (((( 13.66/2.35 (~) @ ( 13.66/2.35 Y4 @ Y2))) | 13.66/2.35 (Y4 @ 13.66/2.35 ( 13.66/2.35 '#sk1' @ 13.66/2.35 Y3)))))))))))))))))))))))))))), 13.66/2.35 inference('triggered_bool_instantiation', [status(thm)], 13.66/2.35 [zip_derived_cl5])). 13.66/2.35 thf(zip_derived_cl1218, plain, 13.66/2.35 (![X2 : $i > $o]: 13.66/2.35 ~ (((((??) @ (^[Y0 : $i]: 13.66/2.35 (((~) @ (((((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ ( 13.66/2.35 Y2 @ Y0))) | 13.66/2.35 (Y2 @ 13.66/2.35 ('#sk1' @ Y1)))))))))))) <=> 13.66/2.35 (X2 @ Y0)))))))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ ('#sk1' @ X2)) | 13.66/2.35 (((~) @ (Y0 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y1 : $i]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ 13.66/2.35 ('#sk1' @ Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ ( 13.66/2.35 Y3 @ Y1))) | 13.66/2.35 (Y3 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y2))))))))))))))))))))))))), 13.66/2.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl311])). 13.66/2.35 thf(zip_derived_cl1221, plain, 13.66/2.35 (~ (((((??) @ (^[Y0 : $i]: 13.66/2.35 (((~) @ (((((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | 13.66/2.35 (Y2 @ 13.66/2.35 ('#sk1' @ Y1)))))))))))) <=> 13.66/2.35 ('#sk2' @ Y0)))))))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ ('#sk1' @ '#sk2')) | 13.66/2.35 (((~) @ (Y0 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y1 : $i]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ ('#sk1' @ Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ ( 13.66/2.35 Y3 @ Y1))) | 13.66/2.35 (Y3 @ 13.66/2.35 ('#sk1' @ Y2))))))))))))))))))))))))), 13.66/2.35 inference('triggered_bool_instantiation', [status(thm)], 13.66/2.35 [zip_derived_cl1218])). 13.66/2.35 thf(zip_derived_cl1252, plain, 13.66/2.35 ((~ (((??) @ (^[Y0 : $i]: 13.66/2.35 (((~) @ (((((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | 13.66/2.35 (Y2 @ 13.66/2.35 ('#sk1' @ Y1)))))))))))) <=> 13.66/2.35 ('#sk2' @ Y0)))))))) 13.66/2.35 | ~ (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ ('#sk1' @ '#sk2')) | 13.66/2.35 (((~) @ (Y0 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y1 : $i]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ 13.66/2.35 ('#sk1' @ Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((((~) @ ( 13.66/2.35 Y3 @ Y1))) | 13.66/2.35 (Y3 @ 13.66/2.35 ('#sk1' @ Y2)))))))))))))))))))))))), 13.66/2.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1221])). 13.66/2.35 thf(zip_derived_cl1253, plain, 13.66/2.35 (![X2 : $i]: 13.66/2.35 ( (((((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ X2))) | (Y1 @ 13.66/2.35 ('#sk1' @ Y0)))))))))))) <=> 13.66/2.35 ('#sk2' @ X2))) 13.66/2.35 | ~ (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ ('#sk1' @ '#sk2')) | 13.66/2.35 (((~) @ (Y0 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y1 : $i]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ 13.66/2.35 ('#sk1' @ Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((( 13.66/2.35 (~) @ ( 13.66/2.35 Y3 @ Y1))) | 13.66/2.35 (Y3 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y2)))))))))))))))))))))))), 13.66/2.35 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1252])). 13.66/2.35 thf(zip_derived_cl1254, plain, 13.66/2.35 (![X2 : $i]: 13.66/2.35 (((((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ X2))) | (Y1 @ 13.66/2.35 ('#sk1' @ Y0)))))))))))) 13.66/2.35 = ('#sk2' @ X2)) 13.66/2.35 | ~ (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((Y0 @ ('#sk1' @ '#sk2')) | 13.66/2.35 (((~) @ (Y0 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y1 : $i]: 13.66/2.35 (((??) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ 13.66/2.35 ('#sk1' @ Y2)))) & 13.66/2.35 (((!!) @ (^[Y3 : $i > $o]: 13.66/2.35 (((( 13.66/2.35 (~) @ ( 13.66/2.35 Y3 @ Y1))) | 13.66/2.35 (Y3 @ 13.66/2.35 ('#sk1' @ 13.66/2.35 Y2)))))))))))))))))))))))), 13.66/2.35 inference('simplify nested equalities', [status(thm)], 13.66/2.35 [zip_derived_cl1253])). 13.66/2.35 thf(zip_derived_cl1255, plain, 13.66/2.35 (![X2 : $i]: 13.66/2.35 (~ ((('#sk1417' @ '#sk2' @ ('#sk1' @ '#sk2')) | 13.66/2.35 (((~) @ ('#sk1417' @ '#sk2' @ 13.66/2.35 ('#sk1' @ 13.66/2.35 (^[Y0 : $i]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | 13.66/2.35 (Y2 @ ('#sk1' @ Y1))))))))))))))))))) 13.66/2.35 | ((((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ X2))) | (Y1 @ 13.66/2.35 ('#sk1' @ Y0)))))))))))) 13.66/2.35 = ('#sk2' @ X2)))), 13.66/2.35 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1254])). 13.66/2.35 thf(zip_derived_cl347, plain, 13.66/2.35 ((('#sk1' @ '#sk2') 13.66/2.35 = ('#sk1' @ 13.66/2.35 (^[Y0 : $i]: 13.66/2.35 (((??) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) & 13.66/2.35 (((!!) @ (^[Y2 : $i > $o]: 13.66/2.35 (((((~) @ (Y2 @ Y0))) | (Y2 @ 13.66/2.35 ('#sk1' @ Y1)))))))))))))))), 13.66/2.35 inference('simplify nested equalities', [status(thm)], 13.66/2.35 [zip_derived_cl346])). 13.66/2.35 thf(zip_derived_cl1256, plain, 13.66/2.35 (![X2 : $i]: 13.66/2.35 (~ ((('#sk1417' @ '#sk2' @ ('#sk1' @ '#sk2')) | 13.66/2.35 (((~) @ ('#sk1417' @ '#sk2' @ ('#sk1' @ '#sk2')))))) 13.66/2.35 | ((((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ X2))) | (Y1 @ 13.66/2.35 ('#sk1' @ Y0)))))))))))) 13.66/2.35 = ('#sk2' @ X2)))), 13.66/2.35 inference('demod', [status(thm)], [zip_derived_cl1255, zip_derived_cl347])). 13.66/2.35 thf(zip_derived_cl1257, plain, 13.66/2.35 (![X2 : $i]: 13.66/2.35 ((((??) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ X2))) | (Y1 @ 13.66/2.35 ('#sk1' @ Y0)))))))))))) 13.66/2.35 = ('#sk2' @ X2))), 13.66/2.35 inference('simplify boolean subterms', [status(thm)], 13.66/2.35 [zip_derived_cl1256])). 13.66/2.35 thf(zip_derived_cl1258, plain, 13.66/2.35 (![X-1658 : $i > $o, X2 : $i]: 13.66/2.35 (~ ((^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) & 13.66/2.35 (((!!) @ (^[Y1 : $i > $o]: 13.66/2.35 (((((~) @ (Y1 @ X2))) | (Y1 @ ('#sk1' @ Y0)))))))))) @ 13.66/2.35 X-1658) 13.66/2.35 | ('#sk2' @ X2))), 13.66/2.35 inference('exists_hoist', [status(thm)], [zip_derived_cl1257])). 13.66/2.35 thf(zip_derived_cl1264, plain, 13.66/2.35 (![X-1658 : $i > $o, X2 : $i]: 13.66/2.35 (~ (((((~) @ (X-1658 @ ('#sk1' @ X-1658)))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ X2))) | (Y0 @ ('#sk1' @ X-1658))))))))) 13.66/2.35 | ('#sk2' @ X2))), 13.66/2.35 inference('ho_norm', [status(thm)], [zip_derived_cl1258])). 13.66/2.35 thf(zip_derived_cl1265, plain, 13.66/2.35 (![X2 : $i, X3 : $i > $o]: 13.66/2.35 (~ (((((~) @ (X3 @ ('#sk1' @ X3)))) & 13.66/2.35 (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ X2))) | (Y0 @ ('#sk1' @ X3))))))))) 13.66/2.35 | ('#sk2' @ X2))), 13.66/2.35 inference('cannonize vars', [status(thm)], [zip_derived_cl1264])). 13.66/2.35 thf(zip_derived_cl1266, plain, 13.66/2.35 (![X2 : $i, X3 : $i > $o]: 13.66/2.35 ( (X3 @ ('#sk1' @ X3)) 13.66/2.35 | ~ (((!!) @ (^[Y0 : $i > $o]: 13.66/2.35 (((((~) @ (Y0 @ X2))) | (Y0 @ ('#sk1' @ X3))))))) 13.66/2.35 | ('#sk2' @ X2))), 13.66/2.35 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1265])). 13.66/2.35 thf(zip_derived_cl1267, plain, 13.66/2.35 (![X2 : $i, X3 : $i > $o]: 13.66/2.35 (~ (((((~) @ ('#sk717' @ X2 @ X3 @ X2))) | ('#sk717' @ X2 @ X3 @ 13.66/2.35 ('#sk1' @ X3)))) 13.66/2.35 | ('#sk2' @ X2) 13.66/2.35 | (X3 @ ('#sk1' @ X3)))), 13.66/2.35 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1266])). 13.66/2.35 thf(zip_derived_cl1269, plain, 13.66/2.35 (![X2 : $i, X3 : $i > $o]: 13.66/2.35 (~ ('#sk717' @ X2 @ X3 @ ('#sk1' @ X3)) 13.66/2.35 | (X3 @ ('#sk1' @ X3)) 13.66/2.35 | ('#sk2' @ X2))), 13.66/2.35 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1267])). 13.66/2.35 thf(zip_derived_cl1271, plain, 13.66/2.35 (( ('#sk2' @ ('#sk1' @ '#sk2')) 13.66/2.35 | ('#sk2' @ ('#sk1' @ '#sk2')) 13.66/2.35 | ('#sk2' @ ('#sk1' @ '#sk2')))), 13.66/2.35 inference('sup-', [status(thm)], [zip_derived_cl1103, zip_derived_cl1269])). 13.66/2.35 thf(zip_derived_cl1274, plain, ( ('#sk2' @ ('#sk1' @ '#sk2'))), 13.66/2.35 inference('simplify', [status(thm)], [zip_derived_cl1271])). 13.66/2.35 thf(zip_derived_cl1276, plain, ($false), 13.66/2.35 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl1274])). 13.66/2.35 13.66/2.35 % SZS output end Refutation 13.66/2.35 13.66/2.35 13.66/2.35 % Terminating... 14.55/2.46 % Runner terminated. 14.55/2.47 % Zipperpin 1.5 exiting 14.55/2.47 EOF