0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.p1OJZW3lL2 true 0.13/0.35 % Computer : n015.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 1440 0.13/0.35 % WCLimit : 180 0.13/0.35 % DateTime : Mon Jul 3 11:02:55 EDT 2023 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 1440 s 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.54/0.67 % Total configuration time : 828 0.54/0.67 % Estimated wc time : 1656 0.54/0.67 % Estimated cpu time (8 cpus) : 207.0 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 10.49/1.94 % Solved by lams/35_full_unif4.sh. 10.49/1.94 % done 186 iterations in 1.166s 10.49/1.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 10.49/1.94 % SZS output start Refutation 10.49/1.94 thf(nat_type, type, nat: $tType). 10.49/1.94 thf(set_type, type, set: $tType). 10.49/1.94 thf(pl_type, type, pl: nat > nat > nat). 10.49/1.94 thf(n_1_type, type, n_1: nat). 10.49/1.94 thf(y_type, type, y: nat). 10.49/1.94 thf(esti_type, type, esti: nat > set > $o). 10.49/1.94 thf(suc_type, type, suc: nat > nat). 10.49/1.94 thf(setof_type, type, setof: (nat > $o) > set). 10.49/1.94 thf(z_type, type, z: nat). 10.49/1.94 thf(x_type, type, x: nat). 10.49/1.94 thf('#sk29_type', type, '#sk29': set > nat). 10.49/1.94 thf(satz5, conjecture, 10.49/1.94 (( pl @ ( pl @ x @ y ) @ z ) = ( pl @ x @ ( pl @ y @ z ) ))). 10.49/1.94 thf(zf_stmt_0, negated_conjecture, 10.49/1.94 (( pl @ ( pl @ x @ y ) @ z ) != ( pl @ x @ ( pl @ y @ z ) )), 10.49/1.94 inference('cnf.neg', [status(esa)], [satz5])). 10.49/1.94 thf(zip_derived_cl7, plain, 10.49/1.94 (((pl @ (pl @ x @ y) @ z) != (pl @ x @ (pl @ y @ z)))), 10.49/1.94 inference('cnf', [status(esa)], [zf_stmt_0])). 10.49/1.94 thf(estie, axiom, 10.49/1.94 (![Xp:( nat > $o ),Xs:nat]: 10.49/1.94 ( ( esti @ Xs @ ( setof @ Xp ) ) => ( Xp @ Xs ) ))). 10.49/1.94 thf(zip_derived_cl0, plain, 10.49/1.94 ( (((!!) @ (^[Y0 : nat > $o]: 10.49/1.94 (((!!) @ (^[Y1 : nat]: 10.49/1.94 (((esti @ Y1 @ (setof @ Y0)) => (Y0 @ Y1)))))))))), 10.49/1.94 inference('cnf', [status(esa)], [estie])). 10.49/1.94 thf(zip_derived_cl12, plain, 10.49/1.94 (![X2 : nat > $o]: 10.49/1.94 (((!!) @ (^[Y0 : nat]: (((esti @ Y0 @ (setof @ X2)) => (X2 @ Y0))))))), 10.49/1.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])). 10.49/1.94 thf(zip_derived_cl13, plain, 10.49/1.94 ( (((!!) @ (^[Y0 : nat]: 10.49/1.94 (((esti @ Y0 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y1 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y1) = (pl @ x @ (pl @ y @ Y1))))))) => 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0)))))))))), 10.49/1.94 inference('triggered_bool_instantiation', [status(thm)], 10.49/1.94 [zip_derived_cl12])). 10.49/1.94 thf(zip_derived_cl72, plain, 10.49/1.94 (![X2 : nat]: 10.49/1.94 (((esti @ X2 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))) => 10.49/1.94 (((pl @ (pl @ x @ y) @ X2) = (pl @ x @ (pl @ y @ X2))))))), 10.49/1.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 10.49/1.94 thf(zip_derived_cl73, plain, 10.49/1.94 (![X2 : nat]: 10.49/1.94 (~ (esti @ X2 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))) 10.49/1.94 | (((pl @ (pl @ x @ y) @ X2) = (pl @ x @ (pl @ y @ X2)))))), 10.49/1.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl72])). 10.49/1.94 thf(zip_derived_cl74, plain, 10.49/1.94 (![X2 : nat]: 10.49/1.94 (~ (esti @ X2 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))) 10.49/1.94 | ((pl @ (pl @ x @ y) @ X2) = (pl @ x @ (pl @ y @ X2))))), 10.49/1.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl73])). 10.49/1.94 thf(estii, axiom, 10.49/1.94 (![Xp:( nat > $o ),Xs:nat]: 10.49/1.94 ( ( Xp @ Xs ) => ( esti @ Xs @ ( setof @ Xp ) ) ))). 10.49/1.94 thf(zip_derived_cl3, plain, 10.49/1.94 ( (((!!) @ (^[Y0 : nat > $o]: 10.49/1.94 (((!!) @ (^[Y1 : nat]: 10.49/1.94 (((Y0 @ Y1) => (esti @ Y1 @ (setof @ Y0))))))))))), 10.49/1.94 inference('cnf', [status(esa)], [estii])). 10.49/1.94 thf(zip_derived_cl24, plain, 10.49/1.94 (![X2 : nat > $o]: 10.49/1.94 (((!!) @ (^[Y0 : nat]: (((X2 @ Y0) => (esti @ Y0 @ (setof @ X2)))))))), 10.49/1.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 10.49/1.94 thf(zip_derived_cl25, plain, 10.49/1.94 ( (((!!) @ (^[Y0 : nat]: 10.49/1.94 (((((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0)))) => 10.49/1.94 (esti @ Y0 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y1 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y1) = (pl @ x @ (pl @ y @ Y1))))))))))))), 10.49/1.94 inference('triggered_bool_instantiation', [status(thm)], 10.49/1.94 [zip_derived_cl24])). 10.49/1.94 thf(zip_derived_cl100, plain, 10.49/1.94 (![X2 : nat]: 10.49/1.94 (((((pl @ (pl @ x @ y) @ X2) = (pl @ x @ (pl @ y @ X2)))) => (esti @ 10.49/1.94 X2 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0)))))))))), 10.49/1.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl25])). 10.49/1.94 thf(zip_derived_cl101, plain, 10.49/1.94 (![X2 : nat]: 10.49/1.94 (~ (((pl @ (pl @ x @ y) @ X2) = (pl @ x @ (pl @ y @ X2)))) 10.49/1.94 | (esti @ X2 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))))), 10.49/1.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl100])). 10.49/1.94 thf(zip_derived_cl102, plain, 10.49/1.94 (![X2 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ X2) != (pl @ x @ (pl @ y @ X2))) 10.49/1.94 | (esti @ X2 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))))), 10.49/1.94 inference('simplify nested equalities', [status(thm)], 10.49/1.94 [zip_derived_cl101])). 10.49/1.94 thf(zip_derived_cl24, plain, 10.49/1.94 (![X2 : nat > $o]: 10.49/1.94 (((!!) @ (^[Y0 : nat]: (((X2 @ Y0) => (esti @ Y0 @ (setof @ X2)))))))), 10.49/1.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 10.49/1.94 thf(zip_derived_cl27, plain, 10.49/1.94 (![X2 : nat > $o, X4 : nat]: (((X2 @ X4) => (esti @ X4 @ (setof @ X2))))), 10.49/1.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 10.49/1.94 thf(zip_derived_cl28, plain, 10.49/1.94 (![X2 : nat > $o, X4 : nat]: (~ (X2 @ X4) | (esti @ X4 @ (setof @ X2)))), 10.49/1.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])). 10.49/1.94 thf(ax5, axiom, 10.49/1.94 (![Xs:set]: 10.49/1.94 ( ( esti @ n_1 @ Xs ) => 10.49/1.94 ( ( ![Xx:nat]: ( ( esti @ Xx @ Xs ) => ( esti @ ( suc @ Xx ) @ Xs ) ) ) => 10.49/1.94 ( ![Xx:nat]: ( esti @ Xx @ Xs ) ) ) ))). 10.49/1.94 thf(zip_derived_cl6, plain, 10.49/1.94 ( (((!!) @ (^[Y0 : set]: 10.49/1.94 (((esti @ n_1 @ Y0) => 10.49/1.94 (((((!!) @ (^[Y1 : nat]: 10.49/1.94 (((esti @ Y1 @ Y0) => (esti @ (suc @ Y1) @ 10.49/1.94 Y0)))))) => 10.49/1.94 (((!!) @ (^[Y1 : nat]: (esti @ Y1 @ Y0)))))))))))), 10.49/1.94 inference('cnf', [status(esa)], [ax5])). 10.49/1.94 thf(zip_derived_cl59, plain, 10.49/1.94 (![X2 : set]: 10.49/1.94 (((esti @ n_1 @ X2) => 10.49/1.94 (((((!!) @ (^[Y0 : nat]: 10.49/1.94 (((esti @ Y0 @ X2) => (esti @ (suc @ Y0) @ X2)))))) => 10.49/1.94 (((!!) @ (^[Y0 : nat]: (esti @ Y0 @ X2))))))))), 10.49/1.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 10.49/1.94 thf(zip_derived_cl60, plain, 10.49/1.94 (![X2 : set]: 10.49/1.94 (~ (esti @ n_1 @ X2) 10.49/1.94 | (((((!!) @ (^[Y0 : nat]: 10.49/1.94 (((esti @ Y0 @ X2) => (esti @ (suc @ Y0) @ X2)))))) => 10.49/1.94 (((!!) @ (^[Y0 : nat]: (esti @ Y0 @ X2)))))))), 10.49/1.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl59])). 10.49/1.94 thf(zip_derived_cl61, plain, 10.49/1.94 (![X2 : set]: 10.49/1.94 (~ (((!!) @ (^[Y0 : nat]: 10.49/1.94 (((esti @ Y0 @ X2) => (esti @ (suc @ Y0) @ X2)))))) 10.49/1.94 | (((!!) @ (^[Y0 : nat]: (esti @ Y0 @ X2)))) 10.49/1.94 | ~ (esti @ n_1 @ X2))), 10.49/1.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl60])). 10.49/1.94 thf(zip_derived_cl62, plain, 10.49/1.94 (![X2 : set]: 10.49/1.94 (~ (((esti @ ('#sk29' @ X2) @ X2) => (esti @ (suc @ ('#sk29' @ X2)) @ 10.49/1.94 X2))) 10.49/1.94 | ~ (esti @ n_1 @ X2) 10.49/1.94 | (((!!) @ (^[Y0 : nat]: (esti @ Y0 @ X2)))))), 10.49/1.94 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl61])). 10.49/1.94 thf(zip_derived_cl64, plain, 10.49/1.94 (![X2 : set]: 10.49/1.94 (~ (esti @ (suc @ ('#sk29' @ X2)) @ X2) 10.49/1.94 | (((!!) @ (^[Y0 : nat]: (esti @ Y0 @ X2)))) 10.49/1.94 | ~ (esti @ n_1 @ X2))), 10.49/1.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])). 10.49/1.94 thf(zip_derived_cl66, plain, 10.49/1.94 (![X2 : set, X4 : nat]: 10.49/1.94 ( (esti @ X4 @ X2) 10.49/1.94 | ~ (esti @ n_1 @ X2) 10.49/1.94 | ~ (esti @ (suc @ ('#sk29' @ X2)) @ X2))), 10.49/1.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl64])). 10.49/1.94 thf(zip_derived_cl68, plain, 10.49/1.94 (![X0 : nat > $o, X1 : nat]: 10.49/1.94 (~ (X0 @ (suc @ ('#sk29' @ (setof @ X0)))) 10.49/1.94 | ~ (esti @ n_1 @ (setof @ X0)) 10.49/1.94 | (esti @ X1 @ (setof @ X0)))), 10.49/1.94 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl66])). 10.49/1.94 thf(zip_derived_cl643, plain, 10.49/1.94 (![X0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ n_1) != (pl @ x @ (pl @ y @ n_1))) 10.49/1.94 | (esti @ X0 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))) 10.49/1.94 | ~ ((^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))) @ 10.49/1.94 (suc @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))))))), 10.49/1.94 inference('sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl68])). 10.49/1.94 thf(zip_derived_cl667, plain, 10.49/1.94 (![X0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ n_1) != (pl @ x @ (pl @ y @ n_1))) 10.49/1.94 | (esti @ X0 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))) 10.49/1.94 | ~ (((pl @ (pl @ x @ y) @ 10.49/1.94 (suc @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))))) = 10.49/1.94 (pl @ x @ 10.49/1.94 (pl @ y @ 10.49/1.94 (suc @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0)))))))))))))), 10.49/1.94 inference('ho_norm', [status(thm)], [zip_derived_cl643])). 10.49/1.94 thf(satz4a, axiom, (![Xx:nat]: ( ( pl @ Xx @ n_1 ) = ( suc @ Xx ) ))). 10.49/1.94 thf(zip_derived_cl1, plain, 10.49/1.94 ( (((!!) @ (^[Y0 : nat]: (((pl @ Y0 @ n_1) = (suc @ Y0))))))), 10.49/1.94 inference('cnf', [status(esa)], [satz4a])). 10.49/1.94 thf(zip_derived_cl8, plain, (![X2 : nat]: (((pl @ X2 @ n_1) = (suc @ X2)))), 10.49/1.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 10.49/1.94 thf(zip_derived_cl9, plain, (![X2 : nat]: ((pl @ X2 @ n_1) = (suc @ X2))), 10.49/1.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl8])). 10.49/1.94 thf(satz4f, axiom, 10.49/1.94 (![Xx:nat,Xy:nat]: 10.49/1.94 ( ( suc @ ( pl @ Xx @ Xy ) ) = ( pl @ Xx @ ( suc @ Xy ) ) ))). 10.49/1.94 thf(zip_derived_cl2, plain, 10.49/1.94 ( (((!!) @ (^[Y0 : nat]: 10.49/1.94 (((!!) @ (^[Y1 : nat]: 10.49/1.94 (((suc @ (pl @ Y0 @ Y1)) = (pl @ Y0 @ 10.49/1.94 (suc @ Y1))))))))))), 10.49/1.94 inference('cnf', [status(esa)], [satz4f])). 10.49/1.94 thf(zip_derived_cl51, plain, 10.49/1.94 (![X2 : nat]: 10.49/1.94 (((!!) @ (^[Y0 : nat]: 10.49/1.94 (((suc @ (pl @ X2 @ Y0)) = (pl @ X2 @ (suc @ Y0)))))))), 10.49/1.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 10.49/1.94 thf(zip_derived_cl52, plain, 10.49/1.94 (![X2 : nat, X4 : nat]: 10.49/1.94 (((suc @ (pl @ X2 @ X4)) = (pl @ X2 @ (suc @ X4))))), 10.49/1.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl51])). 10.49/1.94 thf(zip_derived_cl53, plain, 10.49/1.94 (![X2 : nat, X4 : nat]: ((suc @ (pl @ X2 @ X4)) = (pl @ X2 @ (suc @ X4)))), 10.49/1.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl52])). 10.49/1.94 thf(zip_derived_cl9, plain, (![X2 : nat]: ((pl @ X2 @ n_1) = (suc @ X2))), 10.49/1.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl8])). 10.49/1.94 thf(zip_derived_cl102, plain, 10.49/1.94 (![X2 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ X2) != (pl @ x @ (pl @ y @ X2))) 10.49/1.94 | (esti @ X2 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))))), 10.49/1.94 inference('simplify nested equalities', [status(thm)], 10.49/1.94 [zip_derived_cl101])). 10.49/1.94 thf(zip_derived_cl63, plain, 10.49/1.94 (![X2 : set]: 10.49/1.94 ( (esti @ ('#sk29' @ X2) @ X2) 10.49/1.94 | (((!!) @ (^[Y0 : nat]: (esti @ Y0 @ X2)))) 10.49/1.94 | ~ (esti @ n_1 @ X2))), 10.49/1.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])). 10.49/1.94 thf(zip_derived_cl65, plain, 10.49/1.94 (![X2 : set, X4 : nat]: 10.49/1.94 ( (esti @ X4 @ X2) 10.49/1.94 | ~ (esti @ n_1 @ X2) 10.49/1.94 | (esti @ ('#sk29' @ X2) @ X2))), 10.49/1.94 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl63])). 10.49/1.94 thf(zip_derived_cl67, plain, 10.49/1.94 (![X0 : set]: ( (esti @ ('#sk29' @ X0) @ X0) | ~ (esti @ n_1 @ X0))), 10.49/1.94 inference('condensation', [status(thm)], [zip_derived_cl65])). 10.49/1.94 thf(zip_derived_cl112, plain, 10.49/1.94 ((((pl @ (pl @ x @ y) @ n_1) != (pl @ x @ (pl @ y @ n_1))) 10.49/1.94 | (esti @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))) @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))))), 10.49/1.94 inference('sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl67])). 10.49/1.94 thf(zip_derived_cl9, plain, (![X2 : nat]: ((pl @ X2 @ n_1) = (suc @ X2))), 10.49/1.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl8])). 10.49/1.94 thf(zip_derived_cl53, plain, 10.49/1.94 (![X2 : nat, X4 : nat]: ((suc @ (pl @ X2 @ X4)) = (pl @ X2 @ (suc @ X4)))), 10.49/1.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl52])). 10.49/1.94 thf(zip_derived_cl9, plain, (![X2 : nat]: ((pl @ X2 @ n_1) = (suc @ X2))), 10.49/1.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl8])). 10.49/1.94 thf(zip_derived_cl115, plain, 10.49/1.94 ((((pl @ x @ (suc @ y)) != (pl @ x @ (suc @ y))) 10.49/1.94 | (esti @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))) @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))))), 10.49/1.94 inference('demod', [status(thm)], 10.49/1.94 [zip_derived_cl112, zip_derived_cl9, zip_derived_cl53, 10.49/1.94 zip_derived_cl9])). 10.49/1.94 thf(zip_derived_cl116, plain, 10.49/1.94 ( (esti @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))) @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0)))))))), 10.49/1.94 inference('simplify', [status(thm)], [zip_derived_cl115])). 10.49/1.94 thf(zip_derived_cl74, plain, 10.49/1.94 (![X2 : nat]: 10.49/1.94 (~ (esti @ X2 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))) 10.49/1.94 | ((pl @ (pl @ x @ y) @ X2) = (pl @ x @ (pl @ y @ X2))))), 10.49/1.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl73])). 10.49/1.94 thf(zip_derived_cl128, plain, 10.49/1.94 (((pl @ (pl @ x @ y) @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0)))))))) 10.49/1.94 = (pl @ x @ 10.49/1.94 (pl @ y @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))))))), 10.49/1.94 inference('sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl74])). 10.49/1.94 thf(zip_derived_cl53, plain, 10.49/1.94 (![X2 : nat, X4 : nat]: ((suc @ (pl @ X2 @ X4)) = (pl @ X2 @ (suc @ X4)))), 10.49/1.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl52])). 10.49/1.94 thf(zip_derived_cl146, plain, 10.49/1.94 (((suc @ 10.49/1.94 (pl @ x @ 10.49/1.94 (pl @ y @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0)))))))))) 10.49/1.94 = (pl @ (pl @ x @ y) @ 10.49/1.94 (suc @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))))))), 10.49/1.94 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl53])). 10.49/1.94 thf(zip_derived_cl53, plain, 10.49/1.94 (![X2 : nat, X4 : nat]: ((suc @ (pl @ X2 @ X4)) = (pl @ X2 @ (suc @ X4)))), 10.49/1.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl52])). 10.49/1.94 thf(zip_derived_cl53, plain, 10.49/1.94 (![X2 : nat, X4 : nat]: ((suc @ (pl @ X2 @ X4)) = (pl @ X2 @ (suc @ X4)))), 10.49/1.94 inference('simplify nested equalities', [status(thm)], [zip_derived_cl52])). 10.49/1.94 thf(zip_derived_cl147, plain, 10.49/1.94 (((pl @ x @ 10.49/1.94 (pl @ y @ 10.49/1.94 (suc @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0)))))))))) 10.49/1.94 = (pl @ (pl @ x @ y) @ 10.49/1.94 (suc @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))))))), 10.49/1.94 inference('demod', [status(thm)], 10.49/1.94 [zip_derived_cl146, zip_derived_cl53, zip_derived_cl53])). 10.49/1.94 thf(zip_derived_cl668, plain, 10.49/1.94 (![X0 : nat]: 10.49/1.94 (((pl @ x @ (suc @ y)) != (pl @ x @ (suc @ y))) 10.49/1.94 | (esti @ X0 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))) 10.49/1.94 | ~ (((pl @ x @ 10.49/1.94 (pl @ y @ 10.49/1.94 (suc @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0)))))))))) = 10.49/1.94 (pl @ x @ 10.49/1.94 (pl @ y @ 10.49/1.94 (suc @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0)))))))))))))), 10.49/1.94 inference('demod', [status(thm)], 10.49/1.94 [zip_derived_cl667, zip_derived_cl9, zip_derived_cl53, 10.49/1.94 zip_derived_cl9, zip_derived_cl147])). 10.49/1.94 thf(zip_derived_cl669, plain, 10.49/1.94 (![X0 : nat]: 10.49/1.94 (~ (((pl @ x @ 10.49/1.94 (pl @ y @ 10.49/1.94 (suc @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0)))))))))) = 10.49/1.94 (pl @ x @ 10.49/1.94 (pl @ y @ 10.49/1.94 (suc @ 10.49/1.94 ('#sk29' @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0)))))))))))) 10.49/1.94 | (esti @ X0 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0))))))))), 10.49/1.94 inference('simplify', [status(thm)], [zip_derived_cl668])). 10.49/1.94 thf(zip_derived_cl670, plain, 10.49/1.94 (![X0 : nat]: 10.49/1.94 (esti @ X0 @ 10.49/1.94 (setof @ 10.49/1.94 (^[Y0 : nat]: 10.49/1.94 (((pl @ (pl @ x @ y) @ Y0) = (pl @ x @ (pl @ y @ Y0)))))))), 10.49/1.94 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl669])). 10.49/1.94 thf(zip_derived_cl949, plain, 10.49/1.94 (![X2 : nat]: ((pl @ (pl @ x @ y) @ X2) = (pl @ x @ (pl @ y @ X2)))), 10.49/1.94 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl670])). 10.49/1.94 thf(zip_derived_cl960, plain, 10.49/1.94 (((pl @ x @ (pl @ y @ z)) != (pl @ x @ (pl @ y @ z)))), 10.49/1.94 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl949])). 10.49/1.94 thf(zip_derived_cl961, plain, ($false), 10.49/1.94 inference('simplify', [status(thm)], [zip_derived_cl960])). 10.49/1.94 10.49/1.94 % SZS output end Refutation 10.49/1.94 10.49/1.94 10.49/1.94 % Terminating... 10.49/1.97 % Runner terminated. 10.49/1.97 % Zipperpin 1.5 exiting 10.49/1.97 EOF