0.03/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jSuweLQjh8 true 0.16/0.38 % Computer : n009.cluster.edu 0.16/0.38 % Model : x86_64 x86_64 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.38 % Memory : 8042.1875MB 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.38 % CPULimit : 1200 0.16/0.38 % WCLimit : 120 0.16/0.38 % DateTime : Tue Jul 13 11:07:13 EDT 2021 0.16/0.38 % CPUTime : 0.16/0.38 % Running portfolio for 120 s 0.16/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.38 % Number of cores: 8 0.16/0.38 % Python version: Python 3.6.8 0.16/0.39 % Running in HO mode 0.58/0.67 % Total configuration time : 828 0.58/0.67 % Estimated wc time : 983 0.58/0.67 % Estimated cpu time (8 cpus) : 122.875 0.59/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.59/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.59/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.60/0.82 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.60/0.92 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 0.60/0.92 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 0.60/0.92 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 33s 138.76/18.61 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 18s 259.41/34.06 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 18s 273.89/35.97 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 39s 273.89/36.02 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 47s 276.22/36.42 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 18s 326.58/42.89 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 10s 327.10/42.93 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 12s 363.53/47.62 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 10s 376.19/49.50 % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 10s 395.25/51.97 % /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 21s 410.94/54.01 % /export/starexec/sandbox2/solver/bin/lams/10_shallow_lift.sh running for 18s 411.96/54.27 % /export/starexec/sandbox2/solver/bin/lams/15_lcnf_noform.sh running for 18s 418.49/55.24 % /export/starexec/sandbox2/solver/bin/lams/8_sh.eqenc2.sh running for 6s 420.00/55.49 % /export/starexec/sandbox2/solver/bin/lams/8_cmb.lcnf4.sh running for 6s 437.07/57.66 % /export/starexec/sandbox2/solver/bin/lams/8_new_l_av.sh running for 14s 449.33/59.38 % /export/starexec/sandbox2/solver/bin/lams/10_forms1.sh running for 12s 450.09/59.42 % /export/starexec/sandbox2/solver/bin/lams/10_forms4.sh running for 12s 462.54/61.07 % /export/starexec/sandbox2/solver/bin/lams/15_ch_av2.sh running for 16s 466.09/61.68 % /export/starexec/sandbox2/solver/bin/lams/15_sine_deep.sh running for 26s 539.94/71.23 % /export/starexec/sandbox2/solver/bin/lams/10_shallow_sine.sh running for 18s 542.45/71.55 % /export/starexec/sandbox2/solver/bin/lams/20_new_c.s3.sh running for 24s 546.32/71.94 % /export/starexec/sandbox2/solver/bin/lams/10_forms2.sh running for 12s 548.65/72.34 % /export/starexec/sandbox2/solver/bin/lams/8_sh.or.sh running for 14s 548.73/72.44 % /export/starexec/sandbox2/solver/bin/lams/15_combs_pe.sh running for 12s 553.44/72.99 % /export/starexec/sandbox2/solver/bin/lams/15_b.split.li.sh running for 26s 584.21/77.02 % /export/starexec/sandbox2/solver/bin/lams/18_sh1.sh running for 21s 636.09/83.87 % /export/starexec/sandbox2/solver/bin/lams/8_no_ord.sh running for 6s 639.59/84.43 % /export/starexec/sandbox2/solver/bin/lams/10_forms3.sh running for 12s 640.29/84.50 % /export/starexec/sandbox2/solver/bin/lams/8_lcnf_new_simp.sh running for 10s 663.92/87.62 % /export/starexec/sandbox2/solver/bin/lams/8_unif0.sh running for 14s 675.70/89.16 % /export/starexec/sandbox2/solver/bin/lams/10_32.sh running for 12s 680.82/89.94 % /export/starexec/sandbox2/solver/bin/lams/8_b5.l2.sh running for 6s 683.49/90.33 % Solved by lams/8_unif0.sh. 683.49/90.33 % done 414 iterations in 2.664s 683.49/90.33 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 683.49/90.33 % SZS output start Refutation 683.49/90.33 thf(c_not_type, type, c_not: $o > $o). 683.49/90.33 thf('#sk24828_type', type, '#sk24828': $i > $i > $i). 683.49/90.33 thf(c_In_type, type, c_In: $i > $i > $o). 683.49/90.33 thf(c_False_type, type, c_False: $o). 683.49/90.33 thf(c_Subq_type, type, c_Subq: $i > $i > $o). 683.49/90.33 thf(c_iff_type, type, c_iff: $o > $o > $o). 683.49/90.33 thf(c_and_type, type, c_and: $o > $o > $o). 683.49/90.33 thf(c_Empty_type, type, c_Empty: $i). 683.49/90.33 thf(c_Power_type, type, c_Power: $i > $i). 683.49/90.33 thf(ax17, axiom, 683.49/90.33 (( c_Subq ) = 683.49/90.33 ( ^[X0:$i,X1:$i]: 683.49/90.33 ( ![X2:$i]: ( ( c_In @ X2 @ X0 ) => ( c_In @ X2 @ X1 ) ) ) ))). 683.49/90.33 thf(zip_derived_cl5, plain, 683.49/90.33 (((c_Subq) 683.49/90.33 = ((^[Y0 : $i,Y1 : $i]: 683.49/90.33 (((!!) @ (^[Y2 : $i]: (((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1)))))))))), 683.49/90.33 inference('cnf', [status(esa)], [ax17])). 683.49/90.33 thf(zip_derived_cl171, plain, 683.49/90.33 (![X1 : $i, X2 : $i]: 683.49/90.33 ((c_Subq @ X1 @ X2) 683.49/90.33 = ((^[Y0 : $i,Y1 : $i]: 683.49/90.33 (((!!) @ (^[Y2 : $i]: (((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1))))))) @ 683.49/90.33 X1 @ X2))), 683.49/90.33 inference('ho_complete_eq', [status(thm)], [zip_derived_cl5])). 683.49/90.33 thf(zip_derived_cl173, plain, 683.49/90.33 (![X1 : $i, X2 : $i]: 683.49/90.33 ((c_Subq @ X1 @ X2) 683.49/90.33 = (((!!) @ (^[Y0 : $i]: (((c_In @ Y0 @ X1) => (c_In @ Y0 @ X2)))))))), 683.49/90.33 inference('ho_norm', [status(thm)], [zip_derived_cl171])). 683.49/90.33 thf(ax7, axiom, 683.49/90.33 (![X0:$i,X1:$i]: 683.49/90.33 ( c_iff @ ( c_In @ X1 @ ( c_Power @ X0 ) ) @ ( c_Subq @ X1 @ X0 ) ))). 683.49/90.33 thf(zip_derived_cl106, plain, 683.49/90.33 ( (((!!) @ (^[Y0 : $i]: 683.49/90.33 (((!!) @ (^[Y1 : $i]: 683.49/90.33 (c_iff @ (c_In @ Y1 @ (c_Power @ Y0)) @ 683.49/90.33 (c_Subq @ Y1 @ Y0))))))))), 683.49/90.33 inference('cnf', [status(esa)], [ax7])). 683.49/90.33 thf(zip_derived_cl722, plain, 683.49/90.33 (![X2 : $i]: 683.49/90.33 (((!!) @ (^[Y0 : $i]: 683.49/90.33 (c_iff @ (c_In @ Y0 @ (c_Power @ X2)) @ 683.49/90.33 (c_Subq @ Y0 @ X2)))))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl106])). 683.49/90.33 thf(zip_derived_cl723, plain, 683.49/90.33 (![X2 : $i, X4 : $i]: 683.49/90.33 (c_iff @ (c_In @ X4 @ (c_Power @ X2)) @ (c_Subq @ X4 @ X2))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl722])). 683.49/90.33 thf(ax3, axiom, 683.49/90.33 (![X0:$o,X1:$o]: ( ( c_iff @ X0 @ X1 ) => ( ( X0 ) <=> ( X1 ) ) ))). 683.49/90.33 thf(zip_derived_cl47, plain, 683.49/90.33 ( (((!!) @ (^[Y0 : $o]: 683.49/90.33 (((!!) @ (^[Y1 : $o]: 683.49/90.33 (((c_iff @ Y0 @ Y1) => (((Y0) <=> (Y1)))))))))))), 683.49/90.33 inference('cnf', [status(esa)], [ax3])). 683.49/90.33 thf(zip_derived_cl615, plain, 683.49/90.33 (![X2 : $o]: 683.49/90.33 (((!!) @ (^[Y0 : $o]: (((c_iff @ X2 @ Y0) => (((X2) <=> (Y0))))))))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl47])). 683.49/90.33 thf(zip_derived_cl617, plain, 683.49/90.33 (![X2 : $o, X4 : $o]: (((c_iff @ X2 @ X4) => (((X2) <=> (X4)))))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl615])). 683.49/90.33 thf(zip_derived_cl619, plain, 683.49/90.33 (![X2 : $o, X4 : $o]: (~ (c_iff @ X2 @ X4) | (((X2) <=> (X4))))), 683.49/90.33 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl617])). 683.49/90.33 thf(zip_derived_cl620, plain, 683.49/90.33 (![X2 : $o, X4 : $o]: (~ (c_iff @ X2 @ X4) | ((X2) = (X4)))), 683.49/90.33 inference('simplify nested equalities', [status(thm)], 683.49/90.33 [zip_derived_cl619])). 683.49/90.33 thf(zip_derived_cl726, plain, 683.49/90.33 (![X0 : $i, X1 : $i]: ((c_In @ X1 @ (c_Power @ X0)) = (c_Subq @ X1 @ X0))), 683.49/90.33 inference('sup-', [status(thm)], [zip_derived_cl723, zip_derived_cl620])). 683.49/90.33 thf(ax5, axiom, (c_not @ ( ?[X0:$i]: ( c_In @ X0 @ c_Empty ) ))). 683.49/90.33 thf(zip_derived_cl68, plain, 683.49/90.33 ( (c_not @ (((??) @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))), 683.49/90.33 inference('cnf', [status(esa)], [ax5])). 683.49/90.33 thf(ax13, axiom, (( c_not ) = ( ^[X0:$o]: ( ( X0 ) => ( c_False ) ) ))). 683.49/90.33 thf(zip_derived_cl37, plain, 683.49/90.33 (((c_not) = ((^[Y0 : $o]: (((Y0) => (c_False))))))), 683.49/90.33 inference('cnf', [status(esa)], [ax13])). 683.49/90.33 thf(zip_derived_cl111, plain, 683.49/90.33 (![X1 : $o]: ((c_not @ X1) = ((^[Y0 : $o]: (((Y0) => (c_False)))) @ X1))), 683.49/90.33 inference('ho_complete_eq', [status(thm)], [zip_derived_cl37])). 683.49/90.33 thf(zip_derived_cl112, plain, 683.49/90.33 (![X1 : $o]: ((c_not @ X1) = (((X1) => (c_False))))), 683.49/90.33 inference('ho_norm', [status(thm)], [zip_derived_cl111])). 683.49/90.33 thf(ax11, axiom, (( c_False ) <=> ( ![X0:$o]: ( X0 ) ))). 683.49/90.33 thf(zip_derived_cl102, plain, (((c_False) = (((!!) @ (^[Y0 : $o]: (Y0)))))), 683.49/90.33 inference('cnf', [status(esa)], [ax11])). 683.49/90.33 thf(zip_derived_cl114, plain, 683.49/90.33 ((~ (c_False) | (((!!) @ (^[Y0 : $o]: (Y0)))))), 683.49/90.33 inference('eq_elim', [status(thm)], [zip_derived_cl102])). 683.49/90.33 thf(zip_derived_cl118, plain, (![X2 : $o]: ( (X2) | ~ (c_False))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl114])). 683.49/90.33 thf(zip_derived_cl120, plain, (~ (c_False)), 683.49/90.33 inference('ho_elim_pred', [status(thm)], [zip_derived_cl118])). 683.49/90.33 thf(zip_derived_cl126, plain, 683.49/90.33 (![X1 : $o]: ((c_not @ X1) = (((X1) => ($false))))), 683.49/90.33 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl120])). 683.49/90.33 thf(zip_derived_cl127, plain, (![X1 : $o]: ((c_not @ X1) = (((~) @ X1)))), 683.49/90.33 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl126])). 683.49/90.33 thf(zip_derived_cl128, plain, (![X1 : $o]: ((c_not @ X1) != (X1))), 683.49/90.33 inference('simplify nested equalities', [status(thm)], 683.49/90.33 [zip_derived_cl127])). 683.49/90.33 thf(zip_derived_cl129, plain, (![X1 : $o]: ( (c_not @ X1) | (X1))), 683.49/90.33 inference('eq_elim', [status(thm)], [zip_derived_cl128])). 683.49/90.33 thf(conj, conjecture, 683.49/90.33 (c_not @ 683.49/90.33 ( ![X0:( $i > $i > $o ),X1:( $i > $i > $i ),X2:( $i > $o ),X3:( $i > $o ), 683.49/90.33 X4:( $i > $i ),X5:$i,X6:$i,X7:$i,X8:$i,X9:$i]: 683.49/90.33 ( ( c_and @ 683.49/90.33 ( ![X10:$i]: 683.49/90.33 ( ( ( X4 @ X9 ) = ( X10 ) ) => 683.49/90.33 ( ( c_and @ 683.49/90.33 ( X2 @ X10 ) @ 683.49/90.33 ( ( ( X7 ) = ( X5 ) ) => 683.49/90.33 ( c_and @ 683.49/90.33 ( ![X11:$i]: ( ( X9 ) = ( X8 ) ) ) @ 683.49/90.33 ( ?[X11:$i]: ( X3 @ X10 ) ) ) ) ) => 683.49/90.33 ( ?[X11:$i]: ( ( X7 ) = ( X7 ) ) ) ) ) ) @ 683.49/90.33 ( c_not @ ( X3 @ ( X4 @ ( X4 @ ( X1 @ X7 @ X5 ) ) ) ) ) ) => 683.49/90.33 ( ( X6 ) = ( X9 ) ) ) ))). 683.49/90.33 thf(zf_stmt_0, negated_conjecture, 683.49/90.33 (~( c_not @ 683.49/90.33 ( ![X0:( $i > $i > $o ),X1:( $i > $i > $i ),X2:( $i > $o ), 683.49/90.33 X3:( $i > $o ),X4:( $i > $i ),X5:$i,X6:$i,X7:$i,X8:$i,X9:$i]: 683.49/90.33 ( ( c_and @ 683.49/90.33 ( ![X10:$i]: 683.49/90.33 ( ( ( X4 @ X9 ) = ( X10 ) ) => 683.49/90.33 ( ( c_and @ 683.49/90.33 ( X2 @ X10 ) @ 683.49/90.33 ( ( ( X7 ) = ( X5 ) ) => 683.49/90.33 ( c_and @ 683.49/90.33 ( ![X11:$i]: ( ( X9 ) = ( X8 ) ) ) @ 683.49/90.33 ( ?[X11:$i]: ( X3 @ X10 ) ) ) ) ) => 683.49/90.33 ( ?[X11:$i]: ( ( X7 ) = ( X7 ) ) ) ) ) ) @ 683.49/90.33 ( c_not @ ( X3 @ ( X4 @ ( X4 @ ( X1 @ X7 @ X5 ) ) ) ) ) ) => 683.49/90.33 ( ( X6 ) = ( X9 ) ) ) ) )), 683.49/90.33 inference('cnf.neg', [status(esa)], [conj])). 683.49/90.33 thf(zip_derived_cl19, plain, 683.49/90.33 (~ (c_not @ 683.49/90.33 (((!!) @ (^[Y0 : $i > $i > $o]: 683.49/90.33 (((!!) @ (^[Y1 : $i > $i > $i]: 683.49/90.33 (((!!) @ (^[Y2 : $i > $o]: 683.49/90.33 (((!!) @ (^[Y3 : $i > $o]: 683.49/90.33 (((!!) @ (^[Y4 : $i > $i]: 683.49/90.33 ( 683.49/90.33 ( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y5 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y6 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y7 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y8 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y9 : $i]: 683.49/90.33 (( 683.49/90.33 (c_and @ 683.49/90.33 ( 683.49/90.33 ( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y10 : $i]: 683.49/90.33 (( 683.49/90.33 (( 683.49/90.33 (Y4 @ 683.49/90.33 Y9) = 683.49/90.33 (Y10))) => 683.49/90.33 (( 683.49/90.33 (c_and @ 683.49/90.33 ( 683.49/90.33 Y2 @ Y10) @ 683.49/90.33 ( 683.49/90.33 ( 683.49/90.33 (( 683.49/90.33 (Y7) = 683.49/90.33 (Y5))) => 683.49/90.33 (c_and @ 683.49/90.33 ( 683.49/90.33 ( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y11 : $i]: 683.49/90.33 (( 683.49/90.33 (Y9) = 683.49/90.33 (Y8)))))) @ 683.49/90.33 ( 683.49/90.33 ( 683.49/90.33 (??) @ ( 683.49/90.33 ^[Y11 : $i]: 683.49/90.33 (Y3 @ Y10)))))))) => 683.49/90.33 (( 683.49/90.33 (??) @ ( 683.49/90.33 ^[Y11 : $i]: 683.49/90.33 (( 683.49/90.33 (Y7) = 683.49/90.33 (Y7))))))))))))) @ 683.49/90.33 ( 683.49/90.33 c_not @ 683.49/90.33 ( 683.49/90.33 Y3 @ 683.49/90.33 ( 683.49/90.33 Y4 @ 683.49/90.33 ( 683.49/90.33 Y4 @ 683.49/90.33 ( 683.49/90.33 Y1 @ 683.49/90.33 Y7 @ Y5)))))) => 683.49/90.33 (( 683.49/90.33 (Y6) = 683.49/90.33 (Y9))))))))))))))))))))))))))))))))))))), 683.49/90.33 inference('cnf', [status(esa)], [zf_stmt_0])). 683.49/90.33 thf(zip_derived_cl109, plain, 683.49/90.33 (~ (c_not @ 683.49/90.33 (((!!) @ (^[Y0 : $i > $i > $o]: 683.49/90.33 (((!!) @ (^[Y1 : $i > $i > $i]: 683.49/90.33 (((!!) @ (^[Y2 : $i > $o]: 683.49/90.33 (((!!) @ (^[Y3 : $i > $o]: 683.49/90.33 (((!!) @ (^[Y4 : $i > $i]: 683.49/90.33 ( 683.49/90.33 ( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y5 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y6 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y7 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y8 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y9 : $i]: 683.49/90.33 (( 683.49/90.33 (c_and @ 683.49/90.33 ( 683.49/90.33 $true) @ 683.49/90.33 ( 683.49/90.33 c_not @ 683.49/90.33 ( 683.49/90.33 Y3 @ 683.49/90.33 ( 683.49/90.33 Y4 @ 683.49/90.33 ( 683.49/90.33 Y4 @ 683.49/90.33 ( 683.49/90.33 Y1 @ 683.49/90.33 Y7 @ Y5)))))) => 683.49/90.33 (( 683.49/90.33 (Y6) = 683.49/90.33 (Y9))))))))))))))))))))))))))))))))))))), 683.49/90.33 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl19])). 683.49/90.33 thf(zip_derived_cl137, plain, 683.49/90.33 ( (((!!) @ (^[Y0 : $i > $i > $o]: 683.49/90.33 (((!!) @ (^[Y1 : $i > $i > $i]: 683.49/90.33 (((!!) @ (^[Y2 : $i > $o]: 683.49/90.33 (((!!) @ (^[Y3 : $i > $o]: 683.49/90.33 (((!!) @ (^[Y4 : $i > $i]: 683.49/90.33 (((!!) @ ( 683.49/90.33 ^[Y5 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y6 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y7 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y8 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y9 : $i]: 683.49/90.33 (( 683.49/90.33 (c_and @ 683.49/90.33 ( 683.49/90.33 $true) @ 683.49/90.33 ( 683.49/90.33 c_not @ 683.49/90.33 ( 683.49/90.33 Y3 @ 683.49/90.33 ( 683.49/90.33 Y4 @ 683.49/90.33 ( 683.49/90.33 Y4 @ 683.49/90.33 ( 683.49/90.33 Y1 @ 683.49/90.33 Y7 @ Y5)))))) => 683.49/90.33 (( 683.49/90.33 (Y6) = 683.49/90.33 (Y9)))))))))))))))))))))))))))))))))))), 683.49/90.33 inference('sup-', [status(thm)], [zip_derived_cl129, zip_derived_cl109])). 683.49/90.33 thf(zip_derived_cl1206, plain, 683.49/90.33 ( (((!!) @ (^[Y0 : $i > $i > $i]: 683.49/90.33 (((!!) @ (^[Y1 : $i > $o]: 683.49/90.33 (((!!) @ (^[Y2 : $i > $o]: 683.49/90.33 (((!!) @ (^[Y3 : $i > $i]: 683.49/90.33 (((!!) @ (^[Y4 : $i]: 683.49/90.33 (((!!) @ ( 683.49/90.33 ^[Y5 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y6 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y7 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y8 : $i]: 683.49/90.33 (( 683.49/90.33 (c_and @ 683.49/90.33 ( 683.49/90.33 $true) @ 683.49/90.33 ( 683.49/90.33 c_not @ 683.49/90.33 ( 683.49/90.33 Y2 @ 683.49/90.33 ( 683.49/90.33 Y3 @ 683.49/90.33 ( 683.49/90.33 Y3 @ 683.49/90.33 ( 683.49/90.33 Y0 @ 683.49/90.33 Y6 @ Y4)))))) => 683.49/90.33 (( 683.49/90.33 (Y5) = 683.49/90.33 (Y8))))))))))))))))))))))))))))))))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl137])). 683.49/90.33 thf(zip_derived_cl1227, plain, 683.49/90.33 (![X2 : $i > $i > $i]: 683.49/90.33 (((!!) @ (^[Y0 : $i > $o]: 683.49/90.33 (((!!) @ (^[Y1 : $i > $o]: 683.49/90.33 (((!!) @ (^[Y2 : $i > $i]: 683.49/90.33 (((!!) @ (^[Y3 : $i]: 683.49/90.33 (((!!) @ (^[Y4 : $i]: 683.49/90.33 ( 683.49/90.33 ( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y5 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y6 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y7 : $i]: 683.49/90.33 (( 683.49/90.33 (c_and @ 683.49/90.33 ( 683.49/90.33 $true) @ 683.49/90.33 ( 683.49/90.33 c_not @ 683.49/90.33 ( 683.49/90.33 Y1 @ 683.49/90.33 ( 683.49/90.33 Y2 @ 683.49/90.33 ( 683.49/90.33 Y2 @ 683.49/90.33 ( 683.49/90.33 X2 @ 683.49/90.33 Y5 @ Y3)))))) => 683.49/90.33 (( 683.49/90.33 (Y4) = 683.49/90.33 (Y7)))))))))))))))))))))))))))))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1206])). 683.49/90.33 thf(zip_derived_cl1228, plain, 683.49/90.33 (![X2 : $i > $i > $i]: 683.49/90.33 (((!!) @ (^[Y0 : $i > $o]: 683.49/90.33 (((!!) @ (^[Y1 : $i > $i]: 683.49/90.33 (((!!) @ (^[Y2 : $i]: 683.49/90.33 (((!!) @ (^[Y3 : $i]: 683.49/90.33 (((!!) @ (^[Y4 : $i]: 683.49/90.33 ( 683.49/90.33 ( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y5 : $i]: 683.49/90.33 (( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y6 : $i]: 683.49/90.33 (( 683.49/90.33 (c_and @ 683.49/90.33 ( 683.49/90.33 $true) @ 683.49/90.33 ( 683.49/90.33 c_not @ 683.49/90.33 ( 683.49/90.33 Y0 @ 683.49/90.33 ( 683.49/90.33 Y1 @ 683.49/90.33 ( 683.49/90.33 Y1 @ 683.49/90.33 ( 683.49/90.33 X2 @ 683.49/90.33 Y4 @ Y2)))))) => 683.49/90.33 (( 683.49/90.33 (Y3) = 683.49/90.33 (Y6))))))))))))))))))))))))))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1227])). 683.49/90.33 thf(zip_derived_cl1270, plain, 683.49/90.33 (![X2 : $i > $i > $i, X4 : $i > $o]: 683.49/90.33 (((!!) @ (^[Y0 : $i > $i]: 683.49/90.33 (((!!) @ (^[Y1 : $i]: 683.49/90.33 (((!!) @ (^[Y2 : $i]: 683.49/90.33 (((!!) @ (^[Y3 : $i]: 683.49/90.33 (((!!) @ (^[Y4 : $i]: 683.49/90.33 ( 683.49/90.33 ( 683.49/90.33 (!!) @ ( 683.49/90.33 ^[Y5 : $i]: 683.49/90.33 (( 683.49/90.33 (c_and @ 683.49/90.33 ( 683.49/90.33 $true) @ 683.49/90.33 ( 683.49/90.33 c_not @ 683.49/90.33 ( 683.49/90.33 X4 @ 683.49/90.33 ( 683.49/90.33 Y0 @ 683.49/90.33 ( 683.49/90.33 Y0 @ 683.49/90.33 ( 683.49/90.33 X2 @ 683.49/90.33 Y3 @ Y1)))))) => 683.49/90.33 (( 683.49/90.33 (Y2) = 683.49/90.33 (Y5)))))))))))))))))))))))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1228])). 683.49/90.33 thf(zip_derived_cl1312, plain, 683.49/90.33 (![X2 : $i > $i > $i, X4 : $i > $o, X6 : $i > $i]: 683.49/90.33 (((!!) @ (^[Y0 : $i]: 683.49/90.33 (((!!) @ (^[Y1 : $i]: 683.49/90.33 (((!!) @ (^[Y2 : $i]: 683.49/90.33 (((!!) @ (^[Y3 : $i]: 683.49/90.33 (((!!) @ (^[Y4 : $i]: 683.49/90.33 ( 683.49/90.33 ( 683.49/90.33 (c_and @ 683.49/90.33 ( 683.49/90.33 $true) @ 683.49/90.33 ( 683.49/90.33 c_not @ 683.49/90.33 ( 683.49/90.33 X4 @ 683.49/90.33 ( 683.49/90.33 X6 @ 683.49/90.33 ( 683.49/90.33 X6 @ 683.49/90.33 ( 683.49/90.33 X2 @ 683.49/90.33 Y2 @ Y0)))))) => 683.49/90.33 (( 683.49/90.33 (Y1) = 683.49/90.33 (Y4))))))))))))))))))))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1270])). 683.49/90.33 thf(zip_derived_cl1313, plain, 683.49/90.33 (![X2 : $i > $i > $i, X4 : $i > $o, X6 : $i > $i, X8 : $i]: 683.49/90.33 (((!!) @ (^[Y0 : $i]: 683.49/90.33 (((!!) @ (^[Y1 : $i]: 683.49/90.33 (((!!) @ (^[Y2 : $i]: 683.49/90.33 (((!!) @ (^[Y3 : $i]: 683.49/90.33 (((c_and @ ($true) @ 683.49/90.33 (c_not @ 683.49/90.33 (X4 @ 683.49/90.33 (X6 @ 683.49/90.33 (X6 @ 683.49/90.33 (X2 @ Y1 @ X8)))))) => 683.49/90.33 (((Y0) = (Y3)))))))))))))))))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1312])). 683.49/90.33 thf(zip_derived_cl1314, plain, 683.49/90.33 (![X2 : $i > $i, X4 : $i > $o, X6 : $i > $i, X8 : $i]: 683.49/90.33 (((!!) @ (^[Y0 : $i]: 683.49/90.33 (((!!) @ (^[Y1 : $i]: 683.49/90.33 (((!!) @ (^[Y2 : $i]: 683.49/90.33 (((!!) @ (^[Y3 : $i]: 683.49/90.33 (((c_and @ ($true) @ 683.49/90.33 (c_not @ 683.49/90.33 (X4 @ 683.49/90.33 (X6 @ 683.49/90.33 (X6 @ 683.49/90.33 ((^[Y4 : $i, 683.49/90.33 Y5 : $i]: 683.49/90.33 (X2 @ Y4)) @ 683.49/90.33 Y1 @ X8)))))) => 683.49/90.33 (((Y0) = (Y3)))))))))))))))))), 683.49/90.33 inference('prune_arg_fun', [status(thm)], [zip_derived_cl1313])). 683.49/90.33 thf(zip_derived_cl1315, plain, 683.49/90.33 (![X2 : $i > $i, X4 : $i > $o, X6 : $i > $i]: 683.49/90.33 (((!!) @ (^[Y0 : $i]: 683.49/90.33 (((!!) @ (^[Y1 : $i]: 683.49/90.33 (((!!) @ (^[Y2 : $i]: 683.49/90.33 (((!!) @ (^[Y3 : $i]: 683.49/90.33 (((c_and @ ($true) @ 683.49/90.33 (c_not @ 683.49/90.33 (X4 @ 683.49/90.33 (X6 @ 683.49/90.33 (X6 @ (X2 @ Y1)))))) => 683.49/90.33 (((Y0) = (Y3)))))))))))))))))), 683.49/90.33 inference('ho_norm', [status(thm)], [zip_derived_cl1314])). 683.49/90.33 thf(zip_derived_cl1316, plain, 683.49/90.33 (![X2 : $i > $i, X4 : $i > $o, X6 : $i > $i, X8 : $i]: 683.49/90.33 (((!!) @ (^[Y0 : $i]: 683.49/90.33 (((!!) @ (^[Y1 : $i]: 683.49/90.33 (((!!) @ (^[Y2 : $i]: 683.49/90.33 (((c_and @ ($true) @ 683.49/90.33 (c_not @ 683.49/90.33 (X4 @ (X6 @ (X6 @ (X2 @ Y0)))))) => 683.49/90.33 (((X8) = (Y2))))))))))))))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1315])). 683.49/90.33 thf(zip_derived_cl1317, plain, 683.49/90.33 (![X2 : $i > $i, X4 : $i > $o, X6 : $i > $i, X8 : $i, X10 : $i]: 683.49/90.33 (((!!) @ (^[Y0 : $i]: 683.49/90.33 (((!!) @ (^[Y1 : $i]: 683.49/90.33 (((c_and @ ($true) @ 683.49/90.33 (c_not @ (X4 @ (X6 @ (X6 @ (X2 @ X10)))))) => 683.49/90.33 (((X8) = (Y1)))))))))))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1316])). 683.49/90.33 thf(zip_derived_cl1318, plain, 683.49/90.33 (![X2 : $i, X4 : $o, X6 : $i > $i, X8 : $i, X10 : $i]: 683.49/90.33 (((!!) @ (^[Y0 : $i]: 683.49/90.33 (((!!) @ (^[Y1 : $i]: 683.49/90.33 (((c_and @ ($true) @ 683.49/90.33 (c_not @ 683.49/90.33 ((^[Y2 : $i]: (X4)) @ 683.49/90.33 (X6 @ (X6 @ ((^[Y2 : $i]: (X2)) @ X10)))))) => 683.49/90.33 (((X8) = (Y1)))))))))))), 683.49/90.33 inference('prune_arg_fun', [status(thm)], [zip_derived_cl1317])). 683.49/90.33 thf(zip_derived_cl1319, plain, 683.49/90.33 (![X4 : $o, X8 : $i]: 683.49/90.33 (((!!) @ (^[Y0 : $i]: 683.49/90.33 (((!!) @ (^[Y1 : $i]: 683.49/90.33 (((c_and @ ($true) @ (c_not @ X4)) => 683.49/90.33 (((X8) = (Y1)))))))))))), 683.49/90.33 inference('ho_norm', [status(thm)], [zip_derived_cl1318])). 683.49/90.33 thf(zip_derived_cl1320, plain, 683.49/90.33 (![X4 : $o, X8 : $i]: 683.49/90.33 (((!!) @ (^[Y0 : $i]: 683.49/90.33 (((c_and @ ($true) @ (c_not @ X4)) => (((X8) = (Y0))))))))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1319])). 683.49/90.33 thf(zip_derived_cl1321, plain, 683.49/90.33 (![X4 : $o, X8 : $i, X10 : $i]: 683.49/90.33 (((c_and @ ($true) @ (c_not @ X4)) => (((X8) = (X10)))))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1320])). 683.49/90.33 thf(zip_derived_cl1322, plain, 683.49/90.33 (![X4 : $o, X8 : $i, X10 : $i]: 683.49/90.33 (~ (c_and @ ($true) @ (c_not @ X4)) | (((X8) = (X10))))), 683.49/90.33 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1321])). 683.49/90.33 thf(zip_derived_cl1323, plain, 683.49/90.33 (![X4 : $o, X8 : $i, X10 : $i]: 683.49/90.33 (~ (c_and @ ($true) @ (c_not @ X4)) | ((X8) = (X10)))), 683.49/90.33 inference('simplify nested equalities', [status(thm)], 683.49/90.33 [zip_derived_cl1322])). 683.49/90.33 thf(zip_derived_cl1325, plain, 683.49/90.33 (![X0 : $i, X1 : $i]: (~ (c_and @ ($true) @ ($true)) | ((X0) = (X1)))), 683.49/90.33 inference('sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl1323])). 683.49/90.33 thf(zip_derived_cl723, plain, 683.49/90.33 (![X2 : $i, X4 : $i]: 683.49/90.33 (c_iff @ (c_In @ X4 @ (c_Power @ X2)) @ (c_Subq @ X4 @ X2))), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl722])). 683.49/90.33 thf(zip_derived_cl726, plain, 683.49/90.33 (![X0 : $i, X1 : $i]: ((c_In @ X1 @ (c_Power @ X0)) = (c_Subq @ X1 @ X0))), 683.49/90.33 inference('sup-', [status(thm)], [zip_derived_cl723, zip_derived_cl620])). 683.49/90.33 thf(zip_derived_cl739, plain, 683.49/90.33 (![X2 : $i, X4 : $i]: (c_iff @ (c_Subq @ X4 @ X2) @ (c_Subq @ X4 @ X2))), 683.49/90.33 inference('demod', [status(thm)], [zip_derived_cl723, zip_derived_cl726])). 683.49/90.33 thf(ax16, axiom, 683.49/90.33 (( c_iff ) = 683.49/90.33 ( ^[X0:$o,X1:$o]: ( c_and @ ( ( X0 ) => ( X1 ) ) @ ( ( X1 ) => ( X0 ) ) ) ))). 683.49/90.33 thf(zip_derived_cl61, plain, 683.49/90.33 (((c_iff) 683.49/90.33 = ((^[Y0 : $o,Y1 : $o]: (c_and @ (((Y0) => (Y1))) @ (((Y1) => (Y0)))))))), 683.49/90.33 inference('cnf', [status(esa)], [ax16])). 683.49/90.33 thf(zip_derived_cl150, plain, 683.49/90.33 (![X1 : $o, X2 : $o]: 683.49/90.33 ((c_iff @ X1 @ X2) 683.49/90.33 = ((^[Y0 : $o,Y1 : $o]: 683.49/90.33 (c_and @ (((Y0) => (Y1))) @ (((Y1) => (Y0))))) @ 683.49/90.33 X1 @ X2))), 683.49/90.33 inference('ho_complete_eq', [status(thm)], [zip_derived_cl61])). 683.49/90.33 thf(zip_derived_cl152, plain, 683.49/90.33 (![X1 : $o, X2 : $o]: 683.49/90.33 ((c_iff @ X1 @ X2) = (c_and @ (((X1) => (X2))) @ (((X2) => (X1)))))), 683.49/90.33 inference('ho_norm', [status(thm)], [zip_derived_cl150])). 683.49/90.33 thf(zip_derived_cl1395, plain, 683.49/90.33 (![X1 : $o, X2 : $o]: 683.49/90.33 (~ (c_iff @ X1 @ X2) | (c_and @ (((X1) => (X2))) @ (((X2) => (X1)))))), 683.49/90.33 inference('eq_elim', [status(thm)], [zip_derived_cl152])). 683.49/90.33 thf(zip_derived_cl3223, plain, 683.49/90.33 (![X0 : $i, X1 : $i]: 683.49/90.33 (c_and @ (((c_Subq @ X1 @ X0) => (c_Subq @ X1 @ X0))) @ 683.49/90.33 (((c_Subq @ X1 @ X0) => (c_Subq @ X1 @ X0))))), 683.49/90.33 inference('sup-', [status(thm)], [zip_derived_cl739, zip_derived_cl1395])). 683.49/90.33 thf(zip_derived_cl3235, plain, ( (c_and @ ($true) @ ($true))), 683.49/90.33 inference('simplify boolean subterms', [status(thm)], 683.49/90.33 [zip_derived_cl3223])). 683.49/90.33 thf(zip_derived_cl3240, plain, (![X0 : $i, X1 : $i]: ((X0) = (X1))), 683.49/90.33 inference('demod', [status(thm)], 683.49/90.33 [zip_derived_cl1325, zip_derived_cl3235])). 683.49/90.33 thf(zip_derived_cl3240, plain, (![X0 : $i, X1 : $i]: ((X0) = (X1))), 683.49/90.33 inference('demod', [status(thm)], 683.49/90.33 [zip_derived_cl1325, zip_derived_cl3235])). 683.49/90.33 thf(zip_derived_cl68, plain, 683.49/90.33 ( (c_not @ (((??) @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))), 683.49/90.33 inference('cnf', [status(esa)], [ax5])). 683.49/90.33 thf(zip_derived_cl128, plain, (![X1 : $o]: ((c_not @ X1) != (X1))), 683.49/90.33 inference('simplify nested equalities', [status(thm)], 683.49/90.33 [zip_derived_cl127])). 683.49/90.33 thf(zip_derived_cl134, plain, 683.49/90.33 (~ (((??) @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty))))), 683.49/90.33 inference('sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl128])). 683.49/90.33 thf(zip_derived_cl148, plain, (![X2 : $i]: ~ (c_In @ X2 @ c_Empty)), 683.49/90.33 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl134])). 683.49/90.33 thf(zip_derived_cl3378, plain, (![X0 : $i, X1 : $i]: ~ (c_In @ X1 @ X0)), 683.49/90.33 inference('sup-', [status(thm)], [zip_derived_cl3240, zip_derived_cl148])). 683.49/90.33 thf(zip_derived_cl3402, plain, (![X0 : $i, X1 : $i]: ~ (c_Subq @ X1 @ X0)), 683.49/90.33 inference('demod', [status(thm)], 683.49/90.33 [zip_derived_cl726, zip_derived_cl3240, zip_derived_cl3378])). 683.49/90.33 thf(zip_derived_cl3722, plain, 683.49/90.33 (![X1 : $i, X2 : $i]: 683.49/90.33 ~ (((!!) @ (^[Y0 : $i]: (((c_In @ Y0 @ X1) => (c_In @ Y0 @ X2))))))), 683.49/90.33 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl3402])). 683.49/90.33 thf(zip_derived_cl3871, plain, 683.49/90.33 (![X1 : $i, X2 : $i]: 683.49/90.33 ~ (((c_In @ ('#sk24828' @ X1 @ X2) @ X1) => (c_In @ 683.49/90.33 ('#sk24828' @ X1 @ X2) @ X2)))), 683.49/90.33 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3722])). 683.49/90.33 thf(zip_derived_cl3240, plain, (![X0 : $i, X1 : $i]: ((X0) = (X1))), 683.49/90.33 inference('demod', [status(thm)], 683.49/90.33 [zip_derived_cl1325, zip_derived_cl3235])). 683.49/90.33 thf(zip_derived_cl3378, plain, (![X0 : $i, X1 : $i]: ~ (c_In @ X1 @ X0)), 683.49/90.33 inference('sup-', [status(thm)], [zip_derived_cl3240, zip_derived_cl148])). 683.49/90.33 thf(zip_derived_cl3240, plain, (![X0 : $i, X1 : $i]: ((X0) = (X1))), 683.49/90.33 inference('demod', [status(thm)], 683.49/90.33 [zip_derived_cl1325, zip_derived_cl3235])). 683.49/90.33 thf(zip_derived_cl3378, plain, (![X0 : $i, X1 : $i]: ~ (c_In @ X1 @ X0)), 683.49/90.33 inference('sup-', [status(thm)], [zip_derived_cl3240, zip_derived_cl148])). 683.49/90.33 thf(zip_derived_cl3872, plain, (~ ((($false) => ($false)))), 683.49/90.33 inference('demod', [status(thm)], 683.49/90.33 [zip_derived_cl3871, zip_derived_cl3240, zip_derived_cl3378, 683.49/90.33 zip_derived_cl3240, zip_derived_cl3378])). 683.49/90.33 thf(zip_derived_cl3873, plain, ($false), 683.49/90.33 inference('simplify boolean subterms', [status(thm)], 683.49/90.33 [zip_derived_cl3872])). 683.49/90.33 683.49/90.33 % SZS output end Refutation 683.49/90.33 683.49/90.33 683.49/90.33 % Terminating... 683.57/90.43 % Runner terminated. 683.57/90.44 % Zipperpin 1.5 exiting 683.57/90.46 EOF