0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jQsKTnrHyJ true 0.13/0.34 % Computer : n022.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 06:07:14 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 0.52/0.63 % Total configuration time : 828 0.52/0.63 % Estimated wc time : 1656 0.52/0.63 % Estimated cpu time (8 cpus) : 207.0 0.53/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.53/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.53/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 112.86/14.99 % Solved by lams/20_acsne_simpl.sh. 112.86/14.99 % done 352 iterations in 14.182s 112.86/14.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 112.86/14.99 % SZS output start Refutation 112.86/14.99 thf('#sk1_type', type, '#sk1': $i > $i > $o). 112.86/14.99 thf('#sk1240_type', type, '#sk1240': (($i > $o) > $o) > $i). 112.86/14.99 thf(cL_type, type, cL: ($i > $o) > $o). 112.86/14.99 thf('#sk1232_type', type, '#sk1232': (($i > $o) > $o) > $i > $o). 112.86/14.99 thf(cF_type, type, cF: (($i > $o) > $o) > $o). 112.86/14.99 thf('#form1252_type', type, '#form1252': (($i > $o) > $o) > $o). 112.86/14.99 thf('#sk737_type', type, '#sk737': (($i > $o) > $o) > $i). 112.86/14.99 thf('#sk1292_type', type, '#sk1292': (($i > $o) > $o) > $i > $i > $o). 112.86/14.99 thf('#sk1253_type', type, '#sk1253': (($i > $o) > $o) > ($i > $o) > $o). 112.86/14.99 thf('#sk729_type', type, '#sk729': (($i > $o) > $o) > $i > $o). 112.86/14.99 thf(cG_type, type, cG: ($i > $o) > $o). 112.86/14.99 thf(cTHM630_pme, conjecture, 112.86/14.99 (( ( ![C:( ( $i > $o ) > $o )]: 112.86/14.99 ( ( ( ![Xx:( $i > $o )]: ( ( C @ Xx ) => ( cG @ Xx ) ) ) & 112.86/14.99 ( ![Xx:$i]: ( ?[Y:( $i > $o )]: ( ( Y @ Xx ) & ( C @ Y ) ) ) ) ) => 112.86/14.99 ( ?[D:( ( $i > $o ) > $o )]: 112.86/14.99 ( ( cF @ D ) & 112.86/14.99 ( ![Xx:$i]: ( ?[Y:( $i > $o )]: ( ( Y @ Xx ) & ( D @ Y ) ) ) ) & 112.86/14.99 ( ![Xx:( $i > $o )]: ( ( D @ Xx ) => ( C @ Xx ) ) ) ) ) ) ) & 112.86/14.99 ( ![Z:( $i > $o )]: 112.86/14.99 ( ( cL @ Z ) => ( cG @ ( ^[Xx:$i]: ( ~( Z @ Xx ) ) ) ) ) ) & 112.86/14.99 ( ![B:( ( $i > $o ) > $o )]: 112.86/14.99 ( ( ( cF @ B ) & ( ![Xx:( $i > $o )]: ( ( B @ Xx ) => ( cL @ Xx ) ) ) ) => 112.86/14.99 ( ?[Xm:$i]: ( ![Z:( $i > $o )]: ( ( B @ Z ) => ( Z @ Xm ) ) ) ) ) ) & 112.86/14.99 ( ![C:( ( $i > $o ) > $o )]: 112.86/14.99 ( ( cF @ C ) => 112.86/14.99 ( cF @ ( ^[U:( $i > $o )]: ( C @ ( ^[Xx:$i]: ( ~( U @ Xx ) ) ) ) ) ) ) ) ) => 112.86/14.99 ( ?[Xa:$i]: ( ![Z:( $i > $o )]: ( ( cL @ Z ) => ( Z @ Xa ) ) ) ))). 112.86/14.99 thf(zf_stmt_0, negated_conjecture, 112.86/14.99 (~( ( ( ![C:( ( $i > $o ) > $o )]: 112.86/14.99 ( ( ( ![Xx:( $i > $o )]: ( ( C @ Xx ) => ( cG @ Xx ) ) ) & 112.86/14.99 ( ![Xx:$i]: ( ?[Y:( $i > $o )]: ( ( Y @ Xx ) & ( C @ Y ) ) ) ) ) => 112.86/14.99 ( ?[D:( ( $i > $o ) > $o )]: 112.86/14.99 ( ( cF @ D ) & 112.86/14.99 ( ![Xx:$i]: ( ?[Y:( $i > $o )]: ( ( Y @ Xx ) & ( D @ Y ) ) ) ) & 112.86/14.99 ( ![Xx:( $i > $o )]: ( ( D @ Xx ) => ( C @ Xx ) ) ) ) ) ) ) & 112.86/14.99 ( ![Z:( $i > $o )]: 112.86/14.99 ( ( cL @ Z ) => ( cG @ ( ^[Xx:$i]: ( ~( Z @ Xx ) ) ) ) ) ) & 112.86/14.99 ( ![B:( ( $i > $o ) > $o )]: 112.86/14.99 ( ( ( cF @ B ) & 112.86/14.99 ( ![Xx:( $i > $o )]: ( ( B @ Xx ) => ( cL @ Xx ) ) ) ) => 112.86/14.99 ( ?[Xm:$i]: ( ![Z:( $i > $o )]: ( ( B @ Z ) => ( Z @ Xm ) ) ) ) ) ) & 112.86/14.99 ( ![C:( ( $i > $o ) > $o )]: 112.86/14.99 ( ( cF @ C ) => 112.86/14.99 ( cF @ 112.86/14.99 ( ^[U:( $i > $o )]: ( C @ ( ^[Xx:$i]: ( ~( U @ Xx ) ) ) ) ) ) ) ) ) => 112.86/14.99 ( ?[Xa:$i]: ( ![Z:( $i > $o )]: ( ( cL @ Z ) => ( Z @ Xa ) ) ) ) )), 112.86/14.99 inference('cnf.neg', [status(esa)], [cTHM630_pme])). 112.86/14.99 thf(zip_derived_cl0, plain, 112.86/14.99 (~ (((((((!!) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((((((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (cG @ Y1)))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))))) => 112.86/14.99 (((??) @ (^[Y1 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y1) & 112.86/14.99 (((!!) @ (^[Y2 : $i]: 112.86/14.99 (((??) @ (^[Y3 : $i > $o]: 112.86/14.99 (((Y3 @ Y2) & 112.86/14.99 (Y1 @ Y3))))))))) & 112.86/14.99 (((!!) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y1 @ Y2) => (Y0 @ Y2)))))))))))))))) & 112.86/14.99 (((!!) @ (^[Y0 : $i > $o]: 112.86/14.99 (((cL @ Y0) => (cG @ 112.86/14.99 (^[Y1 : $i]: (((~) @ (Y0 @ Y1)))))))))) & 112.86/14.99 (((!!) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (cL @ Y1)))))))) => 112.86/14.99 (((??) @ (^[Y1 : $i]: 112.86/14.99 (((!!) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y0 @ Y2) => (Y2 @ Y1)))))))))))))) & 112.86/14.99 (((!!) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) => (cF @ 112.86/14.99 (^[Y1 : $i > $o]: 112.86/14.99 (Y0 @ (^[Y2 : $i]: (((~) @ (Y1 @ Y2)))))))))))))) => 112.86/14.99 (((??) @ (^[Y0 : $i]: 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: (((cL @ Y1) => (Y1 @ Y0)))))))))))), 112.86/14.99 inference('cnf', [status(esa)], [zf_stmt_0])). 112.86/14.99 thf(zip_derived_cl1, plain, 112.86/14.99 ( (((((!!) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((((((!!) @ (^[Y1 : $i > $o]: (((Y0 @ Y1) => (cG @ Y1)))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))))) => 112.86/14.99 (((??) @ (^[Y1 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y1) & 112.86/14.99 (((!!) @ (^[Y2 : $i]: 112.86/14.99 (((??) @ (^[Y3 : $i > $o]: 112.86/14.99 (((Y3 @ Y2) & 112.86/14.99 (Y1 @ Y3))))))))) & 112.86/14.99 (((!!) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y1 @ Y2) => (Y0 @ Y2)))))))))))))))) & 112.86/14.99 (((!!) @ (^[Y0 : $i > $o]: 112.86/14.99 (((cL @ Y0) => (cG @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1)))))))))) & 112.86/14.99 (((!!) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: (((Y0 @ Y1) => (cL @ Y1)))))))) => 112.86/14.99 (((??) @ (^[Y1 : $i]: 112.86/14.99 (((!!) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y0 @ Y2) => (Y2 @ Y1)))))))))))))) & 112.86/14.99 (((!!) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) => (cF @ 112.86/14.99 (^[Y1 : $i > $o]: 112.86/14.99 (Y0 @ (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 112.86/14.99 thf(zip_derived_cl5, plain, 112.86/14.99 ( (((!!) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: (((Y0 @ Y1) => (cL @ Y1)))))))) => 112.86/14.99 (((??) @ (^[Y1 : $i]: 112.86/14.99 (((!!) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y0 @ Y2) => (Y2 @ Y1))))))))))))))), 112.86/14.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 112.86/14.99 thf(zip_derived_cl10, plain, 112.86/14.99 (![X2 : ($i > $o) > $o]: 112.86/14.99 (((((cF @ X2) & 112.86/14.99 (((!!) @ (^[Y0 : $i > $o]: (((X2 @ Y0) => (cL @ Y0)))))))) => 112.86/14.99 (((??) @ (^[Y0 : $i]: 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: (((X2 @ Y1) => (Y1 @ Y0)))))))))))), 112.86/14.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 112.86/14.99 thf(zip_derived_cl100, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (((((cF @ 112.86/14.99 (^[Y0 : $i > $o]: (X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))) & 112.86/14.99 (((!!) @ (^[Y0 : $i > $o]: 112.86/14.99 (((X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))) => (cL @ 112.86/14.99 Y0)))))))) => 112.86/14.99 (((??) @ (^[Y0 : $i]: 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))) => 112.86/14.99 (Y1 @ Y0)))))))))))), 112.86/14.99 inference('triggered_bool_instantiation', [status(thm)], 112.86/14.99 [zip_derived_cl10])). 112.86/14.99 thf(zip_derived_cl187, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (~ (((cF @ 112.86/14.99 (^[Y0 : $i > $o]: (X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))) & 112.86/14.99 (((!!) @ (^[Y0 : $i > $o]: 112.86/14.99 (((X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))) => (cL @ 112.86/14.99 Y0)))))))) 112.86/14.99 | (((??) @ (^[Y0 : $i]: 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))) => 112.86/14.99 (Y1 @ Y0))))))))))), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl100])). 112.86/14.99 thf(zip_derived_cl188, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (~ (cF @ (^[Y0 : $i > $o]: (X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))) 112.86/14.99 | ~ (((!!) @ (^[Y0 : $i > $o]: 112.86/14.99 (((X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))) => (cL @ 112.86/14.99 Y0)))))) 112.86/14.99 | (((??) @ (^[Y0 : $i]: 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))) => 112.86/14.99 (Y1 @ Y0))))))))))), 112.86/14.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl187])). 112.86/14.99 thf(zip_derived_cl189, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (~ (((X0 @ (^[Y0 : $i]: (((~) @ ('#sk729' @ X0 @ Y0))))) => (cL @ 112.86/14.99 ('#sk729' @ X0)))) 112.86/14.99 | (((??) @ (^[Y0 : $i]: 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))) => 112.86/14.99 (Y1 @ Y0))))))))) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))))), 112.86/14.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl188])). 112.86/14.99 thf(zip_derived_cl191, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (~ (cL @ ('#sk729' @ X0)) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))) 112.86/14.99 | (((??) @ (^[Y0 : $i]: 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))) => 112.86/14.99 (Y1 @ Y0))))))))))), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl189])). 112.86/14.99 thf(zip_derived_cl193, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 ( (((!!) @ (^[Y0 : $i > $o]: 112.86/14.99 (((X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))) => (Y0 @ 112.86/14.99 ('#sk737' @ X0))))))) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))) 112.86/14.99 | ~ (cL @ ('#sk729' @ X0)))), 112.86/14.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl191])). 112.86/14.99 thf(zip_derived_cl200, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X2 : $i > $o]: 112.86/14.99 ( (((X0 @ (^[Y0 : $i]: (((~) @ (X2 @ Y0))))) => (X2 @ ('#sk737' @ X0)))) 112.86/14.99 | ~ (cL @ ('#sk729' @ X0)) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))))), 112.86/14.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl193])). 112.86/14.99 thf(zip_derived_cl201, plain, 112.86/14.99 (![X0 : $i > $o, X1 : ($i > $o) > $o]: 112.86/14.99 ( (((X1 @ (^[Y0 : $i]: (((~) @ (((~) @ (X0 @ Y0))))))) => 112.86/14.99 (((~) @ (X0 @ ('#sk737' @ X1)))))) 112.86/14.99 | ~ (cL @ ('#sk729' @ X1)) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X1 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))))), 112.86/14.99 inference('triggered_bool_instantiation', [status(thm)], 112.86/14.99 [zip_derived_cl200])). 112.86/14.99 thf(zip_derived_cl208, plain, 112.86/14.99 (![X0 : $i > $o, X1 : ($i > $o) > $o]: 112.86/14.99 ( (((X1 @ (^[Y0 : $i]: (X0 @ Y0))) => (((~) @ (X0 @ ('#sk737' @ X1)))))) 112.86/14.99 | ~ (cL @ ('#sk729' @ X1)) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X1 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))))), 112.86/14.99 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl201])). 112.86/14.99 thf(zip_derived_cl209, plain, 112.86/14.99 (![X0 : $i > $o, X1 : ($i > $o) > $o]: 112.86/14.99 ( (((X1 @ X0) => (((~) @ (X0 @ ('#sk737' @ X1)))))) 112.86/14.99 | ~ (cL @ ('#sk729' @ X1)) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X1 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))))), 112.86/14.99 inference('ho_norm', [status(thm)], [zip_derived_cl208])). 112.86/14.99 thf(zip_derived_cl210, plain, 112.86/14.99 (![X0 : $i > $o, X1 : ($i > $o) > $o]: 112.86/14.99 (~ (X1 @ X0) 112.86/14.99 | ~ (X0 @ ('#sk737' @ X1)) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X1 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))) 112.86/14.99 | ~ (cL @ ('#sk729' @ X1)))), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl209])). 112.86/14.99 thf(zip_derived_cl3, plain, 112.86/14.99 ( (((!!) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((((((!!) @ (^[Y1 : $i > $o]: (((Y0 @ Y1) => (cG @ Y1)))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))))) => 112.86/14.99 (((??) @ (^[Y1 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y1) & 112.86/14.99 (((!!) @ (^[Y2 : $i]: 112.86/14.99 (((??) @ (^[Y3 : $i > $o]: 112.86/14.99 (((Y3 @ Y2) & 112.86/14.99 (Y1 @ Y3))))))))) & 112.86/14.99 (((!!) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y1 @ Y2) => (Y0 @ Y2))))))))))))))))), 112.86/14.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 112.86/14.99 thf(zip_derived_cl8, plain, 112.86/14.99 (![X2 : ($i > $o) > $o]: 112.86/14.99 (((((((!!) @ (^[Y0 : $i > $o]: (((X2 @ Y0) => (cG @ Y0)))))) & 112.86/14.99 (((!!) @ (^[Y0 : $i]: 112.86/14.99 (((??) @ (^[Y1 : $i > $o]: (((Y1 @ Y0) & (X2 @ Y1))))))))))) => 112.86/14.99 (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: (((Y0 @ Y1) => (X2 @ Y1)))))))))))))), 112.86/14.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 112.86/14.99 thf(zip_derived_cl101, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (((((((!!) @ (^[Y0 : $i > $o]: 112.86/14.99 (((X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))) => (cG @ 112.86/14.99 Y0)))))) & 112.86/14.99 (((!!) @ (^[Y0 : $i]: 112.86/14.99 (((??) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y1 @ Y0) & (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))) => 112.86/14.99 (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2)))))))))))))))))), 112.86/14.99 inference('triggered_bool_instantiation', [status(thm)], 112.86/14.99 [zip_derived_cl8])). 112.86/14.99 thf(zip_derived_cl280, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (~ (((((!!) @ (^[Y0 : $i > $o]: 112.86/14.99 (((X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))) => (cG @ 112.86/14.99 Y0)))))) & 112.86/14.99 (((!!) @ (^[Y0 : $i]: 112.86/14.99 (((??) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y1 @ Y0) & (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))))), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl101])). 112.86/14.99 thf(zip_derived_cl281, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (~ (((!!) @ (^[Y0 : $i > $o]: 112.86/14.99 (((X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))) => (cG @ Y0)))))) 112.86/14.99 | ~ (((!!) @ (^[Y0 : $i]: 112.86/14.99 (((??) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y1 @ Y0) & (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))))), 112.86/14.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl280])). 112.86/14.99 thf(zip_derived_cl282, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (~ (((X0 @ (^[Y0 : $i]: (((~) @ ('#sk1232' @ X0 @ Y0))))) => (cG @ 112.86/14.99 ('#sk1232' @ X0)))) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))) 112.86/14.99 | ~ (((!!) @ (^[Y0 : $i]: 112.86/14.99 (((??) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y1 @ Y0) & (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))), 112.86/14.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl281])). 112.86/14.99 thf(zip_derived_cl284, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (~ (cG @ ('#sk1232' @ X0)) 112.86/14.99 | ~ (((!!) @ (^[Y0 : $i]: 112.86/14.99 (((??) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y1 @ Y0) & (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))))), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl282])). 112.86/14.99 thf(zip_derived_cl286, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (~ (((??) @ (^[Y0 : $i > $o]: 112.86/14.99 (((Y0 @ ('#sk1240' @ X0)) & (X0 @ 112.86/14.99 (^[Y1 : $i]: (((~) @ (Y0 @ Y1)))))))))) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))) 112.86/14.99 | ~ (cG @ ('#sk1232' @ X0)))), 112.86/14.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl284])). 112.86/14.99 thf(zip_derived_cl293, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (~ ('#form1252' @ X0) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))))), 112.86/14.99 define([status(thm)])). 112.86/14.99 thf(zip_derived_cl294, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 ( (((cF @ ('#sk1253' @ X0)) & 112.86/14.99 (((!!) @ (^[Y0 : $i]: 112.86/14.99 (((??) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y1 @ Y0) & ('#sk1253' @ X0 @ Y1))))))))) & 112.86/14.99 (((!!) @ (^[Y0 : $i > $o]: 112.86/14.99 ((('#sk1253' @ X0 @ Y0) => (X0 @ 112.86/14.99 (^[Y1 : $i]: (((~) @ (Y0 @ Y1)))))))))))) 112.86/14.99 | ~ ('#form1252' @ X0))), 112.86/14.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl293])). 112.86/14.99 thf(zip_derived_cl303, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 ( (cF @ ('#sk1253' @ X0)) | ~ ('#form1252' @ X0))), 112.86/14.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl294])). 112.86/14.99 thf(zip_derived_cl304, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 ( (((!!) @ (^[Y0 : $i]: 112.86/14.99 (((??) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y1 @ Y0) & ('#sk1253' @ X0 @ Y1))))))))) 112.86/14.99 | ~ ('#form1252' @ X0))), 112.86/14.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl294])). 112.86/14.99 thf(zip_derived_cl308, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X2 : $i]: 112.86/14.99 ( (((??) @ (^[Y0 : $i > $o]: (((Y0 @ X2) & ('#sk1253' @ X0 @ Y0)))))) 112.86/14.99 | ~ ('#form1252' @ X0))), 112.86/14.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl304])). 112.86/14.99 thf(zip_derived_cl315, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X2 : $i]: 112.86/14.99 ( ((('#sk1292' @ X0 @ X2 @ X2) & ('#sk1253' @ X0 @ 112.86/14.99 ('#sk1292' @ X0 @ X2)))) 112.86/14.99 | ~ ('#form1252' @ X0))), 112.86/14.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl308])). 112.86/14.99 thf(zip_derived_cl318, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X2 : $i]: 112.86/14.99 ( ('#sk1253' @ X0 @ ('#sk1292' @ X0 @ X2)) | ~ ('#form1252' @ X0))), 112.86/14.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl315])). 112.86/14.99 thf(zip_derived_cl305, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 ( (((!!) @ (^[Y0 : $i > $o]: 112.86/14.99 ((('#sk1253' @ X0 @ Y0) => (X0 @ 112.86/14.99 (^[Y1 : $i]: (((~) @ (Y0 @ Y1)))))))))) 112.86/14.99 | ~ ('#form1252' @ X0))), 112.86/14.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl294])). 112.86/14.99 thf(zip_derived_cl309, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X2 : $i > $o]: 112.86/14.99 ( ((('#sk1253' @ X0 @ X2) => (X0 @ (^[Y0 : $i]: (((~) @ (X2 @ Y0))))))) 112.86/14.99 | ~ ('#form1252' @ X0))), 112.86/14.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl305])). 112.86/14.99 thf(zip_derived_cl310, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X1 : $i > $o]: 112.86/14.99 ( ((('#sk1253' @ X0 @ (^[Y0 : $i]: (((~) @ (X1 @ Y0))))) => (X0 @ 112.86/14.99 (^[Y0 : $i]: (((~) @ (((~) @ (X1 @ Y0))))))))) 112.86/14.99 | ~ ('#form1252' @ X0))), 112.86/14.99 inference('triggered_bool_instantiation', [status(thm)], 112.86/14.99 [zip_derived_cl309])). 112.86/14.99 thf(zip_derived_cl325, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X1 : $i > $o]: 112.86/14.99 ( ((('#sk1253' @ X0 @ (^[Y0 : $i]: (((~) @ (X1 @ Y0))))) => (X0 @ 112.86/14.99 (^[Y0 : $i]: (X1 @ Y0))))) 112.86/14.99 | ~ ('#form1252' @ X0))), 112.86/14.99 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl310])). 112.86/14.99 thf(zip_derived_cl326, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X1 : $i > $o]: 112.86/14.99 ( ((('#sk1253' @ X0 @ (^[Y0 : $i]: (((~) @ (X1 @ Y0))))) => (X0 @ X1))) 112.86/14.99 | ~ ('#form1252' @ X0))), 112.86/14.99 inference('ho_norm', [status(thm)], [zip_derived_cl325])). 112.86/14.99 thf(zip_derived_cl327, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X1 : $i > $o]: 112.86/14.99 (~ ('#sk1253' @ X0 @ (^[Y0 : $i]: (((~) @ (X1 @ Y0))))) 112.86/14.99 | (X0 @ X1) 112.86/14.99 | ~ ('#form1252' @ X0))), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl326])). 112.86/14.99 thf(zip_derived_cl317, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X2 : $i]: 112.86/14.99 ( ('#sk1292' @ X0 @ X2 @ X2) | ~ ('#form1252' @ X0))), 112.86/14.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl315])). 112.86/14.99 thf(zip_derived_cl6, plain, 112.86/14.99 ( (((!!) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) => (cF @ 112.86/14.99 (^[Y1 : $i > $o]: 112.86/14.99 (Y0 @ (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))), 112.86/14.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 112.86/14.99 thf(zip_derived_cl11, plain, 112.86/14.99 (![X2 : ($i > $o) > $o]: 112.86/14.99 (((cF @ X2) => (cF @ 112.86/14.99 (^[Y0 : $i > $o]: (X2 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1)))))))))), 112.86/14.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 112.86/14.99 thf(zip_derived_cl17, plain, 112.86/14.99 (![X2 : ($i > $o) > $o]: 112.86/14.99 (~ (cF @ X2) 112.86/14.99 | (cF @ (^[Y0 : $i > $o]: (X2 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))))), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 112.86/14.99 thf(zip_derived_cl190, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 ( (X0 @ (^[Y0 : $i]: (((~) @ ('#sk729' @ X0 @ Y0))))) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))) 112.86/14.99 | (((??) @ (^[Y0 : $i]: 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))) => 112.86/14.99 (Y1 @ Y0))))))))))), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl189])). 112.86/14.99 thf(zip_derived_cl192, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 ( (((!!) @ (^[Y0 : $i > $o]: 112.86/14.99 (((X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))) => (Y0 @ 112.86/14.99 ('#sk737' @ X0))))))) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))) 112.86/14.99 | (X0 @ (^[Y0 : $i]: (((~) @ ('#sk729' @ X0 @ Y0))))))), 112.86/14.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl190])). 112.86/14.99 thf(zip_derived_cl194, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X2 : $i > $o]: 112.86/14.99 ( (((X0 @ (^[Y0 : $i]: (((~) @ (X2 @ Y0))))) => (X2 @ ('#sk737' @ X0)))) 112.86/14.99 | (X0 @ (^[Y0 : $i]: (((~) @ ('#sk729' @ X0 @ Y0))))) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X0 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))))), 112.86/14.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl192])). 112.86/14.99 thf(zip_derived_cl195, plain, 112.86/14.99 (![X0 : $i > $o, X1 : ($i > $o) > $o]: 112.86/14.99 ( (((X1 @ (^[Y0 : $i]: (((~) @ (((~) @ (X0 @ Y0))))))) => 112.86/14.99 (((~) @ (X0 @ ('#sk737' @ X1)))))) 112.86/14.99 | (X1 @ (^[Y0 : $i]: (((~) @ ('#sk729' @ X1 @ Y0))))) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X1 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))))), 112.86/14.99 inference('triggered_bool_instantiation', [status(thm)], 112.86/14.99 [zip_derived_cl194])). 112.86/14.99 thf(zip_derived_cl255, plain, 112.86/14.99 (![X0 : $i > $o, X1 : ($i > $o) > $o]: 112.86/14.99 ( (((X1 @ (^[Y0 : $i]: (X0 @ Y0))) => (((~) @ (X0 @ ('#sk737' @ X1)))))) 112.86/14.99 | (X1 @ (^[Y0 : $i]: (((~) @ ('#sk729' @ X1 @ Y0))))) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X1 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))))), 112.86/14.99 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl195])). 112.86/14.99 thf(zip_derived_cl256, plain, 112.86/14.99 (![X0 : $i > $o, X1 : ($i > $o) > $o]: 112.86/14.99 ( (((X1 @ X0) => (((~) @ (X0 @ ('#sk737' @ X1)))))) 112.86/14.99 | (X1 @ (^[Y0 : $i]: (((~) @ ('#sk729' @ X1 @ Y0))))) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X1 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))))), 112.86/14.99 inference('ho_norm', [status(thm)], [zip_derived_cl255])). 112.86/14.99 thf(zip_derived_cl257, plain, 112.86/14.99 (![X0 : $i > $o, X1 : ($i > $o) > $o]: 112.86/14.99 (~ (X1 @ X0) 112.86/14.99 | ~ (X0 @ ('#sk737' @ X1)) 112.86/14.99 | ~ (cF @ (^[Y0 : $i > $o]: (X1 @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))) 112.86/14.99 | (X1 @ (^[Y0 : $i]: (((~) @ ('#sk729' @ X1 @ Y0))))))), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl256])). 112.86/14.99 thf(zip_derived_cl2, plain, 112.86/14.99 (~ (((??) @ (^[Y0 : $i]: 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: (((cL @ Y1) => (Y1 @ Y0)))))))))), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 112.86/14.99 thf(zip_derived_cl7, plain, 112.86/14.99 (![X2 : $i]: ~ (((!!) @ (^[Y0 : $i > $o]: (((cL @ Y0) => (Y0 @ X2))))))), 112.86/14.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 112.86/14.99 thf(zip_derived_cl13, plain, 112.86/14.99 (![X2 : $i]: ~ (((cL @ ('#sk1' @ X2)) => ('#sk1' @ X2 @ X2)))), 112.86/14.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 112.86/14.99 thf(zip_derived_cl18, plain, (![X2 : $i]: (cL @ ('#sk1' @ X2))), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])). 112.86/14.99 thf(zip_derived_cl19, plain, (![X2 : $i]: ~ ('#sk1' @ X2 @ X2)), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])). 112.86/14.99 thf(zip_derived_cl286, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (~ (((??) @ (^[Y0 : $i > $o]: 112.86/14.99 (((Y0 @ ('#sk1240' @ X0)) & (X0 @ 112.86/14.99 (^[Y1 : $i]: (((~) @ (Y0 @ Y1)))))))))) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))) 112.86/14.99 | ~ (cG @ ('#sk1232' @ X0)))), 112.86/14.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl284])). 112.86/14.99 thf(zip_derived_cl293, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (~ ('#form1252' @ X0) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))))), 112.86/14.99 define([status(thm)])). 112.86/14.99 thf(zip_derived_cl295, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 ( ('#form1252' @ X0) 112.86/14.99 | ~ (cG @ ('#sk1232' @ X0)) 112.86/14.99 | ~ (((??) @ (^[Y0 : $i > $o]: 112.86/14.99 (((Y0 @ ('#sk1240' @ X0)) & (X0 @ 112.86/14.99 (^[Y1 : $i]: (((~) @ (Y0 @ Y1)))))))))))), 112.86/14.99 inference('renaming', [status(thm)], 112.86/14.99 [zip_derived_cl286, zip_derived_cl293])). 112.86/14.99 thf(zip_derived_cl297, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X2 : $i > $o]: 112.86/14.99 (~ (((X2 @ ('#sk1240' @ X0)) & (X0 @ 112.86/14.99 (^[Y0 : $i]: (((~) @ (X2 @ Y0))))))) 112.86/14.99 | ~ (cG @ ('#sk1232' @ X0)) 112.86/14.99 | ('#form1252' @ X0))), 112.86/14.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl295])). 112.86/14.99 thf(zip_derived_cl298, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X1 : $i > $o]: 112.86/14.99 (~ (((((~) @ (X1 @ ('#sk1240' @ X0)))) & (X0 @ 112.86/14.99 (^[Y0 : $i]: (((~) @ (((~) @ (X1 @ Y0))))))))) 112.86/14.99 | ~ (cG @ ('#sk1232' @ X0)) 112.86/14.99 | ('#form1252' @ X0))), 112.86/14.99 inference('triggered_bool_instantiation', [status(thm)], 112.86/14.99 [zip_derived_cl297])). 112.86/14.99 thf(zip_derived_cl319, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X1 : $i > $o]: 112.86/14.99 (~ (((((~) @ (X1 @ ('#sk1240' @ X0)))) & (X0 @ 112.86/14.99 (^[Y0 : $i]: (X1 @ Y0))))) 112.86/14.99 | ~ (cG @ ('#sk1232' @ X0)) 112.86/14.99 | ('#form1252' @ X0))), 112.86/14.99 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl298])). 112.86/14.99 thf(zip_derived_cl320, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X1 : $i > $o]: 112.86/14.99 (~ (((((~) @ (X1 @ ('#sk1240' @ X0)))) & (X0 @ X1))) 112.86/14.99 | ~ (cG @ ('#sk1232' @ X0)) 112.86/14.99 | ('#form1252' @ X0))), 112.86/14.99 inference('ho_norm', [status(thm)], [zip_derived_cl319])). 112.86/14.99 thf(zip_derived_cl321, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X1 : $i > $o]: 112.86/14.99 ( (X1 @ ('#sk1240' @ X0)) 112.86/14.99 | ~ (X0 @ X1) 112.86/14.99 | ('#form1252' @ X0) 112.86/14.99 | ~ (cG @ ('#sk1232' @ X0)))), 112.86/14.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl320])). 112.86/14.99 thf(zip_derived_cl4, plain, 112.86/14.99 ( (((!!) @ (^[Y0 : $i > $o]: 112.86/14.99 (((cL @ Y0) => (cG @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1))))))))))), 112.86/14.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])). 112.86/14.99 thf(zip_derived_cl9, plain, 112.86/14.99 (![X2 : $i > $o]: 112.86/14.99 (((cL @ X2) => (cG @ (^[Y0 : $i]: (((~) @ (X2 @ Y0)))))))), 112.86/14.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 112.86/14.99 thf(zip_derived_cl15, plain, 112.86/14.99 (![X2 : $i > $o]: 112.86/14.99 (~ (cL @ X2) | (cG @ (^[Y0 : $i]: (((~) @ (X2 @ Y0))))))), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])). 112.86/14.99 thf(zip_derived_cl283, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 ( (X0 @ (^[Y0 : $i]: (((~) @ ('#sk1232' @ X0 @ Y0))))) 112.86/14.99 | ~ (((!!) @ (^[Y0 : $i]: 112.86/14.99 (((??) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y1 @ Y0) & (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))))), 112.86/14.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl282])). 112.86/14.99 thf(zip_derived_cl285, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (~ (((??) @ (^[Y0 : $i > $o]: 112.86/14.99 (((Y0 @ ('#sk1240' @ X0)) & (X0 @ 112.86/14.99 (^[Y1 : $i]: (((~) @ (Y0 @ Y1)))))))))) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))) 112.86/14.99 | (X0 @ (^[Y0 : $i]: (((~) @ ('#sk1232' @ X0 @ Y0))))))), 112.86/14.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl283])). 112.86/14.99 thf(zip_derived_cl287, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X2 : $i > $o]: 112.86/14.99 (~ (((X2 @ ('#sk1240' @ X0)) & (X0 @ 112.86/14.99 (^[Y0 : $i]: (((~) @ (X2 @ Y0))))))) 112.86/14.99 | (X0 @ (^[Y0 : $i]: (((~) @ ('#sk1232' @ X0 @ Y0))))) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))))), 112.86/14.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl285])). 112.86/14.99 thf(zip_derived_cl288, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X1 : $i > $o]: 112.86/14.99 (~ (((((~) @ (X1 @ ('#sk1240' @ X0)))) & (X0 @ 112.86/14.99 (^[Y0 : $i]: (((~) @ (((~) @ (X1 @ Y0))))))))) 112.86/14.99 | (X0 @ (^[Y0 : $i]: (((~) @ ('#sk1232' @ X0 @ Y0))))) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))))), 112.86/14.99 inference('triggered_bool_instantiation', [status(thm)], 112.86/14.99 [zip_derived_cl287])). 112.86/14.99 thf(zip_derived_cl337, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X1 : $i > $o]: 112.86/14.99 (~ (((((~) @ (X1 @ ('#sk1240' @ X0)))) & (X0 @ 112.86/14.99 (^[Y0 : $i]: (X1 @ Y0))))) 112.86/14.99 | (X0 @ (^[Y0 : $i]: (((~) @ ('#sk1232' @ X0 @ Y0))))) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))))), 112.86/14.99 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl288])). 112.86/14.99 thf(zip_derived_cl338, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X1 : $i > $o]: 112.86/14.99 (~ (((((~) @ (X1 @ ('#sk1240' @ X0)))) & (X0 @ X1))) 112.86/14.99 | (X0 @ (^[Y0 : $i]: (((~) @ ('#sk1232' @ X0 @ Y0))))) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))))), 112.86/14.99 inference('ho_norm', [status(thm)], [zip_derived_cl337])). 112.86/14.99 thf(zip_derived_cl293, plain, 112.86/14.99 (![X0 : ($i > $o) > $o]: 112.86/14.99 (~ ('#form1252' @ X0) 112.86/14.99 | (((??) @ (^[Y0 : ($i > $o) > $o]: 112.86/14.99 (((cF @ Y0) & 112.86/14.99 (((!!) @ (^[Y1 : $i]: 112.86/14.99 (((??) @ (^[Y2 : $i > $o]: 112.86/14.99 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 112.86/14.99 (((!!) @ (^[Y1 : $i > $o]: 112.86/14.99 (((Y0 @ Y1) => (X0 @ 112.86/14.99 (^[Y2 : $i]: (((~) @ (Y1 @ Y2))))))))))))))))), 112.86/14.99 define([status(thm)])). 112.86/14.99 thf(zip_derived_cl339, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X1 : $i > $o]: 112.86/14.99 ( ('#form1252' @ X0) 112.86/14.99 | (X0 @ (^[Y0 : $i]: (((~) @ ('#sk1232' @ X0 @ Y0))))) 112.86/14.99 | ~ (((((~) @ (X1 @ ('#sk1240' @ X0)))) & (X0 @ X1))))), 112.86/14.99 inference('renaming', [status(thm)], 112.86/14.99 [zip_derived_cl338, zip_derived_cl293])). 112.86/14.99 thf(zip_derived_cl340, plain, 112.86/14.99 (![X0 : ($i > $o) > $o, X1 : $i > $o]: 112.86/14.99 ( (X1 @ ('#sk1240' @ X0)) 112.86/14.99 | ~ (X0 @ X1) 112.86/14.99 | (X0 @ (^[Y0 : $i]: (((~) @ ('#sk1232' @ X0 @ Y0))))) 112.86/14.99 | ('#form1252' @ X0))), 112.86/14.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl339])). 112.86/14.99 thf(zip_derived_cl9931, plain, ($false), 112.86/14.99 inference('eprover', [status(thm)], 112.86/14.99 [zip_derived_cl210, zip_derived_cl303, zip_derived_cl318, 112.86/14.99 zip_derived_cl327, zip_derived_cl317, zip_derived_cl17, 112.86/14.99 zip_derived_cl257, zip_derived_cl18, zip_derived_cl19, 112.86/14.99 zip_derived_cl321, zip_derived_cl15, zip_derived_cl340])). 112.86/14.99 112.86/14.99 % SZS output end Refutation 112.86/14.99 112.86/14.99 112.86/14.99 % Terminating... 112.86/15.10 % Runner terminated. 112.86/15.11 % Zipperpin 1.5 exiting 112.86/15.13 EOF