0.07/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.18 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0zEJ9gwaTV true 0.17/0.39 % Computer : n011.cluster.edu 0.17/0.39 % Model : x86_64 x86_64 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.39 % Memory : 8042.1875MB 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.39 % CPULimit : 960 0.17/0.39 % WCLimit : 120 0.17/0.39 % DateTime : Tue Aug 9 07:33:37 EDT 2022 0.17/0.39 % CPUTime : 0.17/0.39 % Running portfolio for 960 s 0.17/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.39 % Number of cores: 8 0.17/0.40 % Python version: Python 3.6.8 0.17/0.40 % Running in HO mode 0.55/0.68 % Total configuration time : 828 0.55/0.68 % Estimated wc time : 1656 0.55/0.68 % Estimated cpu time (8 cpus) : 207.0 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.59/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.62/1.00 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 225.35/30.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 466.87/62.03 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s 568.99/75.72 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s 609.29/80.88 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s 609.29/80.92 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s 609.29/80.94 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s 654.12/86.81 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s 654.51/86.89 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s 663.98/88.10 % Solved by lams/15_lifting1.sh. 663.98/88.10 % done 525 iterations in 7.097s 663.98/88.10 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 663.98/88.10 % SZS output start Refutation 663.98/88.10 thf(c_Repl_type, type, c_Repl: $i > ($i > $i) > $i). 663.98/88.10 thf('#l_lift27_type', type, '#l_lift27': ($i > $i) > $i > $i). 663.98/88.10 thf(c_not_type, type, c_not: $o > $o). 663.98/88.10 thf(c_ordsucc_type, type, c_ordsucc: $i > $i). 663.98/88.10 thf(c_binrep_type, type, c_binrep: $i > $i > $i). 663.98/88.10 thf(c_Sep_type, type, c_Sep: $i > ($i > $o) > $i). 663.98/88.10 thf(c_In_type, type, c_In: $i > $i > $o). 663.98/88.10 thf('#l_lift19_type', type, '#l_lift19': $i > $i > $i). 663.98/88.10 thf(c_famunion_type, type, c_famunion: $i > ($i > $i) > $i). 663.98/88.10 thf(c_False_type, type, c_False: $o). 663.98/88.10 thf(c_Subq_type, type, c_Subq: $i > $i > $o). 663.98/88.10 thf(c_In_rec_poly_i_type, type, c_In_rec_poly_i: ($i > ($i > $i) > $i) > $i > $i). 663.98/88.10 thf(c_V__type, type, c_V_: $i > $i). 663.98/88.10 thf(c_PNoEq__type, type, c_PNoEq_: $i > ($i > $o) > ($i > $o) > $o). 663.98/88.10 thf(c_SNoEq__type, type, c_SNoEq_: $i > $i > $i > $o). 663.98/88.10 thf(c_binintersect_type, type, c_binintersect: $i > $i > $i). 663.98/88.10 thf(c_and_type, type, c_and: $o > $o > $o). 663.98/88.10 thf(c_setsum_type, type, c_setsum: $i > $i > $i). 663.98/88.10 thf(c_Empty_type, type, c_Empty: $i). 663.98/88.10 thf('#l_lift11_type', type, '#l_lift11': $i > $i > $o). 663.98/88.10 thf(c_lam_type, type, c_lam: $i > ($i > $i) > $i). 663.98/88.10 thf(c_SNo_type, type, c_SNo: $i > $o). 663.98/88.10 thf(c_exactly2_type, type, c_exactly2: $i > $o). 663.98/88.10 thf(c_setprod_type, type, c_setprod: $i > $i > $i). 663.98/88.10 thf(c_Power_type, type, c_Power: $i > $i). 663.98/88.10 thf(sk__63_type, type, sk__63: $i > $i > $i). 663.98/88.10 thf(c_TransSet_type, type, c_TransSet: $i > $o). 663.98/88.10 thf(ax13, axiom, 663.98/88.10 (![X0:$o]: ( ( c_not @ X0 ) <=> ( ( X0 ) => ( c_False ) ) ))). 663.98/88.10 thf(zip_derived_cl297, plain, (![X0 : $o]: ( (c_not @ X0) | (X0))), 663.98/88.10 inference('cnf', [status(esa)], [ax13])). 663.98/88.10 thf(ax2, axiom, (![X0:$o]: ( ( c_not @ ( c_not @ X0 ) ) => ( X0 ) ))). 663.98/88.10 thf(zip_derived_cl19, plain, 663.98/88.10 (![X0 : $o]: ( (X0) | ~ (c_not @ (c_not @ X0)))), 663.98/88.10 inference('cnf', [status(esa)], [ax2])). 663.98/88.10 thf(zip_derived_cl372, plain, 663.98/88.10 (![X0 : $o]: (~ (c_not @ ($true)) | (X0) | (X0))), 663.98/88.10 inference('sup-', [status(thm)], [zip_derived_cl297, zip_derived_cl19])). 663.98/88.10 thf(zip_derived_cl378, plain, (![X0 : $o]: ( (X0) | ~ (c_not @ ($true)))), 663.98/88.10 inference('simplify', [status(thm)], [zip_derived_cl372])). 663.98/88.10 thf(ax17, axiom, 663.98/88.10 (![X0:$i,X1:$i]: 663.98/88.10 ( ( c_Subq @ X0 @ X1 ) <=> 663.98/88.10 ( ![X2:$i]: ( ( c_In @ X2 @ X0 ) => ( c_In @ X2 @ X1 ) ) ) ))). 663.98/88.10 thf(zip_derived_cl348, plain, 663.98/88.10 (![X0 : $i, X1 : $i]: 663.98/88.10 ( (c_Subq @ X0 @ X1) | ~ (c_In @ (sk__63 @ X1 @ X0) @ X1))), 663.98/88.10 inference('cnf', [status(esa)], [ax17])). 663.98/88.10 thf(zip_derived_cl349, plain, 663.98/88.10 (![X0 : $i, X1 : $i]: 663.98/88.10 ( (c_Subq @ X0 @ X1) | (c_In @ (sk__63 @ X1 @ X0) @ X0))), 663.98/88.10 inference('cnf', [status(esa)], [ax17])). 663.98/88.10 thf(zip_derived_cl3142, plain, 663.98/88.10 (![X0 : $i]: ( (c_Subq @ X0 @ X0) | (c_Subq @ X0 @ X0))), 663.98/88.10 inference('sup+', [status(thm)], [zip_derived_cl348, zip_derived_cl349])). 663.98/88.10 thf(zip_derived_cl3143, plain, (![X0 : $i]: (c_Subq @ X0 @ X0)), 663.98/88.10 inference('simplify', [status(thm)], [zip_derived_cl3142])). 663.98/88.10 thf(zip_derived_cl297, plain, (![X0 : $o]: ( (c_not @ X0) | (X0))), 663.98/88.10 inference('cnf', [status(esa)], [ax13])). 663.98/88.10 thf(conj, conjecture, 663.98/88.10 (c_not @ 663.98/88.10 ( ![X0:( $i > $o ),X1:( $i > $i )]: 663.98/88.10 ( c_and @ 663.98/88.10 ( ( ( X0 @ 663.98/88.10 ( X1 @ 663.98/88.10 ( c_binintersect @ 663.98/88.10 ( X1 @ ( c_Power @ c_Empty ) ) @ 663.98/88.10 ( X1 @ 663.98/88.10 ( c_binrep @ 663.98/88.10 ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ 663.98/88.10 c_Empty ) ) ) ) ) => 663.98/88.10 ( ( c_TransSet @ ( X1 @ c_Empty ) ) => 663.98/88.10 ( ![X2:$i]: 663.98/88.10 ( ( c_In @ X2 @ c_Empty ) => 663.98/88.10 ( ?[X3:$i]: 663.98/88.10 ( c_and @ 663.98/88.10 ( c_Subq @ X3 @ X2 ) @ 663.98/88.10 ( c_exactly2 @ ( c_ordsucc @ ( X1 @ X3 ) ) ) ) ) ) ) ) ) => 663.98/88.10 ( ?[X2:$i]: 663.98/88.10 ( c_and @ 663.98/88.10 ( ?[X3:$i]: 663.98/88.10 ( c_and @ 663.98/88.10 ( c_Subq @ X3 @ X2 ) @ 663.98/88.10 ( ( ( X2 ) = ( X1 @ X2 ) ) => 663.98/88.10 ( ?[X4:$i]: 663.98/88.10 ( c_and @ 663.98/88.10 ( c_Subq @ X4 @ X2 ) @ 663.98/88.10 ( c_not @ 663.98/88.10 ( X0 @ 663.98/88.10 ( c_setprod @ 663.98/88.10 X3 @ 663.98/88.10 ( c_binrep @ 663.98/88.10 ( c_Power @ 663.98/88.10 ( c_binrep @ 663.98/88.10 ( c_Power @ ( c_Power @ c_Empty ) ) @ 663.98/88.10 c_Empty ) ) @ 663.98/88.10 ( c_Power @ ( c_Power @ c_Empty ) ) ) ) ) ) ) ) ) ) ) @ 663.98/88.10 ( c_not @ ( c_SNo @ X2 ) ) ) ) ) @ 663.98/88.10 ( c_not @ 663.98/88.10 ( X0 @ 663.98/88.10 ( X1 @ 663.98/88.10 ( X1 @ 663.98/88.10 ( X1 @ 663.98/88.10 ( c_binrep @ 663.98/88.10 ( c_binrep @ 663.98/88.10 ( c_Power @ 663.98/88.10 ( c_binrep @ 663.98/88.10 ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ 663.98/88.10 ( c_Power @ c_Empty ) ) @ 663.98/88.10 c_Empty ) ) ) ) ) ) ) ))). 663.98/88.10 thf(zf_stmt_0, negated_conjecture, 663.98/88.10 (~( c_not @ 663.98/88.10 ( ![X0:( $i > $o ),X1:( $i > $i )]: 663.98/88.10 ( c_and @ 663.98/88.10 ( ( ( X0 @ 663.98/88.10 ( X1 @ 663.98/88.10 ( c_binintersect @ 663.98/88.10 ( X1 @ ( c_Power @ c_Empty ) ) @ 663.98/88.10 ( X1 @ 663.98/88.10 ( c_binrep @ 663.98/88.10 ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ 663.98/88.10 c_Empty ) ) ) ) ) => 663.98/88.10 ( ( c_TransSet @ ( X1 @ c_Empty ) ) => 663.98/88.10 ( ![X2:$i]: 663.98/88.10 ( ( c_In @ X2 @ c_Empty ) => 663.98/88.10 ( ?[X3:$i]: 663.98/88.10 ( c_and @ 663.98/88.10 ( c_Subq @ X3 @ X2 ) @ 663.98/88.10 ( c_exactly2 @ ( c_ordsucc @ ( X1 @ X3 ) ) ) ) ) ) ) ) ) => 663.98/88.10 ( ?[X2:$i]: 663.98/88.10 ( c_and @ 663.98/88.10 ( ?[X3:$i]: 663.98/88.10 ( c_and @ 663.98/88.10 ( c_Subq @ X3 @ X2 ) @ 663.98/88.10 ( ( ( X2 ) = ( X1 @ X2 ) ) => 663.98/88.10 ( ?[X4:$i]: 663.98/88.10 ( c_and @ 663.98/88.10 ( c_Subq @ X4 @ X2 ) @ 663.98/88.10 ( c_not @ 663.98/88.10 ( X0 @ 663.98/88.10 ( c_setprod @ 663.98/88.10 X3 @ 663.98/88.10 ( c_binrep @ 663.98/88.10 ( c_Power @ 663.98/88.10 ( c_binrep @ 663.98/88.10 ( c_Power @ ( c_Power @ c_Empty ) ) @ 663.98/88.10 c_Empty ) ) @ 663.98/88.10 ( c_Power @ ( c_Power @ c_Empty ) ) ) ) ) ) ) ) ) ) ) @ 663.98/88.10 ( c_not @ ( c_SNo @ X2 ) ) ) ) ) @ 663.98/88.10 ( c_not @ 663.98/88.10 ( X0 @ 663.98/88.10 ( X1 @ 663.98/88.10 ( X1 @ 663.98/88.10 ( X1 @ 663.98/88.10 ( c_binrep @ 663.98/88.10 ( c_binrep @ 663.98/88.10 ( c_Power @ 663.98/88.10 ( c_binrep @ 663.98/88.10 ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ 663.98/88.10 ( c_Power @ c_Empty ) ) @ 663.98/88.10 c_Empty ) ) ) ) ) ) ) ) )), 663.98/88.10 inference('cnf.neg', [status(esa)], [conj])). 663.98/88.10 thf(zip_derived_cl74, plain, 663.98/88.10 (~ (c_not @ 663.98/88.10 (((!!) @ (^[Y0 : $i > $o]: 663.98/88.10 (((!!) @ (^[Y1 : $i > $i]: 663.98/88.10 (c_and @ 663.98/88.10 (((((Y0 @ 663.98/88.10 (Y1 @ 663.98/88.10 (c_binintersect @ 663.98/88.10 (Y1 @ (c_Power @ c_Empty)) @ 663.98/88.10 (Y1 @ 663.98/88.10 (c_binrep @ 663.98/88.10 (c_Power @ 663.98/88.10 (c_Power @ (c_Power @ c_Empty))) @ 663.98/88.10 c_Empty))))) => 663.98/88.10 (((c_TransSet @ (Y1 @ c_Empty)) => 663.98/88.10 (((!!) @ (^[Y2 : $i]: 663.98/88.10 (((c_In @ Y2 @ c_Empty) => 663.98/88.10 (((??) @ (^[Y3 : $i]: 663.98/88.10 (c_and @ 663.98/88.10 (c_Subq @ 663.98/88.10 Y3 @ Y2) @ 663.98/88.10 (c_exactly2 @ 663.98/88.10 (c_ordsucc @ 663.98/88.10 ( 663.98/88.10 Y1 @ Y3)))))))))))))))) => 663.98/88.10 (((??) @ (^[Y2 : $i]: 663.98/88.10 (c_and @ 663.98/88.10 (((??) @ (^[Y3 : $i]: 663.98/88.10 (c_and @ 663.98/88.10 (c_Subq @ Y3 @ 663.98/88.10 Y2) @ 663.98/88.10 (((((Y2) = 663.98/88.10 (Y1 @ Y2))) => 663.98/88.10 (((??) @ ( 663.98/88.10 ^[Y4 : $i]: 663.98/88.10 (c_and @ 663.98/88.10 ( 663.98/88.10 c_Subq @ 663.98/88.10 Y4 @ Y2) @ 663.98/88.10 ( 663.98/88.10 c_not @ 663.98/88.10 ( 663.98/88.10 Y0 @ 663.98/88.10 ( 663.98/88.10 c_setprod @ 663.98/88.10 Y3 @ 663.98/88.10 ( 663.98/88.10 c_binrep @ 663.98/88.10 ( 663.98/88.10 c_Power @ 663.98/88.10 ( 663.98/88.10 c_binrep @ 663.98/88.10 ( 663.98/88.10 c_Power @ 663.98/88.10 ( 663.98/88.10 c_Power @ 663.98/88.10 c_Empty)) @ 663.98/88.10 c_Empty)) @ 663.98/88.10 ( 663.98/88.10 c_Power @ 663.98/88.10 ( 663.98/88.10 c_Power @ 663.98/88.10 c_Empty)))))))))))))))) @ 663.98/88.10 (c_not @ (c_SNo @ Y2)))))))) @ 663.98/88.10 (c_not @ 663.98/88.10 (Y0 @ 663.98/88.10 (Y1 @ 663.98/88.10 (Y1 @ 663.98/88.10 (Y1 @ 663.98/88.10 (c_binrep @ 663.98/88.10 (c_binrep @ 663.98/88.10 (c_Power @ 663.98/88.10 (c_binrep @ 663.98/88.10 (c_Power @ (c_Power @ c_Empty)) @ 663.98/88.10 c_Empty)) @ 663.98/88.10 (c_Power @ c_Empty)) @ 663.98/88.10 c_Empty))))))))))))))), 663.98/88.10 inference('cnf', [status(esa)], [zf_stmt_0])). 663.98/88.10 thf(zip_derived_cl3804, plain, 663.98/88.10 ( (((!!) @ (^[Y0 : $i > $o]: 663.98/88.10 (((!!) @ (^[Y1 : $i > $i]: 663.98/88.10 (c_and @ 663.98/88.10 (((((Y0 @ 663.98/88.10 (Y1 @ 663.98/88.10 (c_binintersect @ 663.98/88.10 (Y1 @ (c_Power @ c_Empty)) @ 663.98/88.10 (Y1 @ 663.98/88.10 (c_binrep @ 663.98/88.10 (c_Power @ 663.98/88.10 (c_Power @ (c_Power @ c_Empty))) @ 663.98/88.10 c_Empty))))) => 663.98/88.10 (((c_TransSet @ (Y1 @ c_Empty)) => 663.98/88.10 (((!!) @ (^[Y2 : $i]: 663.98/88.10 (((c_In @ Y2 @ c_Empty) => 663.98/88.10 (((??) @ (^[Y3 : $i]: 663.98/88.10 (c_and @ 663.98/88.10 (c_Subq @ 663.98/88.10 Y3 @ Y2) @ 663.98/88.10 (c_exactly2 @ 663.98/88.10 (c_ordsucc @ 663.98/88.10 (Y1 @ Y3)))))))))))))))) => 663.98/88.10 (((??) @ (^[Y2 : $i]: 663.98/88.10 (c_and @ 663.98/88.10 (((??) @ (^[Y3 : $i]: 663.98/88.10 (c_and @ 663.98/88.10 (c_Subq @ Y3 @ Y2) @ 663.98/88.10 (((((Y2) = (Y1 @ 663.98/88.10 Y2))) => 663.98/88.10 (((??) @ ( 663.98/88.10 ^[Y4 : $i]: 663.98/88.10 (c_and @ 663.98/88.10 (c_Subq @ 663.98/88.10 Y4 @ Y2) @ 663.98/88.10 (c_not @ 663.98/88.10 (Y0 @ 663.98/88.10 ( 663.98/88.10 c_setprod @ 663.98/88.10 Y3 @ 663.98/88.10 ( 663.98/88.10 c_binrep @ 663.98/88.10 ( 663.98/88.10 c_Power @ 663.98/88.10 ( 663.98/88.10 c_binrep @ 663.98/88.10 ( 663.98/88.10 c_Power @ 663.98/88.10 ( 663.98/88.10 c_Power @ 663.98/88.10 c_Empty)) @ 663.98/88.10 c_Empty)) @ 663.98/88.10 ( 663.98/88.10 c_Power @ 663.98/88.10 ( 663.98/88.10 c_Power @ 663.98/88.10 c_Empty)))))))))))))))) @ 663.98/88.10 (c_not @ (c_SNo @ Y2)))))))) @ 663.98/88.10 (c_not @ 663.98/88.10 (Y0 @ 663.98/88.10 (Y1 @ 663.98/88.10 (Y1 @ 663.98/88.10 (Y1 @ 663.98/88.10 (c_binrep @ 663.98/88.10 (c_binrep @ 663.98/88.10 (c_Power @ 663.98/88.10 (c_binrep @ 663.98/88.10 (c_Power @ (c_Power @ c_Empty)) @ 663.98/88.10 c_Empty)) @ 663.98/88.10 (c_Power @ c_Empty)) @ 663.98/88.10 c_Empty)))))))))))))), 663.98/88.10 inference('sup-', [status(thm)], [zip_derived_cl297, zip_derived_cl74])). 663.98/88.10 thf(zip_derived_cl6489, plain, 663.98/88.10 (![X0 : $i > $o, X1 : $i > $i]: 663.98/88.10 (c_and @ 663.98/88.10 (((((X0 @ 663.98/88.10 (X1 @ 663.98/88.10 (c_binintersect @ (X1 @ (c_Power @ c_Empty)) @ 663.98/88.10 (X1 @ 663.98/88.10 (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ 663.98/88.10 c_Empty))))) => 663.98/88.10 (((c_TransSet @ (X1 @ c_Empty)) => 663.98/88.10 (((!!) @ (^[Y0 : $i]: 663.98/88.10 (((c_In @ Y0 @ c_Empty) => 663.98/88.10 (((??) @ (^[Y1 : $i]: 663.98/88.10 (c_and @ (c_Subq @ Y1 @ Y0) @ 663.98/88.10 (c_exactly2 @ 663.98/88.10 (c_ordsucc @ (X1 @ Y1)))))))))))))))) => 663.98/88.10 (((??) @ (^[Y0 : $i]: 663.98/88.10 (c_and @ 663.98/88.10 (((??) @ (^[Y1 : $i]: 663.98/88.10 (c_and @ (c_Subq @ Y1 @ Y0) @ 663.98/88.10 (((((Y0) = (X1 @ Y0))) => 663.98/88.10 (((??) @ (^[Y2 : $i]: 663.98/88.10 (c_and @ 663.98/88.10 (c_Subq @ Y2 @ Y0) @ 663.98/88.10 (c_not @ 663.98/88.10 (X0 @ 663.98/88.10 (c_setprod @ Y1 @ 663.98/88.10 (c_binrep @ 663.98/88.10 (c_Power @ 663.98/88.10 (c_binrep @ 663.98/88.10 (c_Power @ 663.98/88.10 (c_Power @ c_Empty)) @ 663.98/88.10 c_Empty)) @ 663.98/88.10 (c_Power @ 663.98/88.10 (c_Power @ c_Empty)))))))))))))))) @ 663.98/88.10 (c_not @ (c_SNo @ Y0)))))))) @ 663.98/88.10 (c_not @ 663.98/88.10 (X0 @ 663.98/88.10 (X1 @ 663.98/88.10 (X1 @ 663.98/88.10 (X1 @ 663.98/88.10 (c_binrep @ 663.98/88.10 (c_binrep @ 663.98/88.10 (c_Power @ 663.98/88.10 (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ 663.98/88.10 (c_Power @ c_Empty)) @ 663.98/88.10 c_Empty)))))))), 663.98/88.10 inference('cnf_otf', [status(thm)], [zip_derived_cl3804])). 663.98/88.10 thf(ax68, axiom, 663.98/88.10 (( c_V_ ) = 663.98/88.10 ( c_In_rec_poly_i @ 663.98/88.10 ( ^[X0:$i,X1:( $i > $i )]: 663.98/88.10 ( c_famunion @ X0 @ ( ^[X2:$i]: ( c_Power @ ( X1 @ X2 ) ) ) ) ) ))). 663.98/88.10 thf(zip_derived_cl261, plain, 663.98/88.10 (((c_V_) 663.98/88.10 = (c_In_rec_poly_i @ 663.98/88.10 (^[Y0 : $i,Y1 : $i > $i]: 663.98/88.10 (c_famunion @ Y0 @ (^[Y2 : $i]: (c_Power @ (Y1 @ Y2)))))))), 663.98/88.10 inference('cnf', [status(esa)], [ax68])). 663.98/88.10 thf(zip_derived_cl262, plain, 663.98/88.10 (![X1 : $i > $i, X2 : $i]: 663.98/88.10 (('#l_lift27' @ X1 @ X2) = (c_Power @ (X1 @ X2)))), 663.98/88.10 define([status(thm)])). 663.98/88.10 thf(zip_derived_cl262, plain, 663.98/88.10 (![X1 : $i > $i, X2 : $i]: 663.98/88.10 (('#l_lift27' @ X1 @ X2) = (c_Power @ (X1 @ X2)))), 663.98/88.10 define([status(thm)])). 663.98/88.10 thf(ax76, axiom, 663.98/88.10 (![X0:$i,X1:$i]: 663.98/88.10 ( ( c_binrep @ X0 @ X1 ) = ( c_setsum @ X0 @ ( c_Power @ X1 ) ) ))). 663.98/88.10 thf(zip_derived_cl98, plain, 663.98/88.10 (![X0 : $i, X1 : $i]: 663.98/88.10 ((c_binrep @ X0 @ X1) = (c_setsum @ X0 @ (c_Power @ X1)))), 663.98/88.10 inference('cnf', [status(esa)], [ax76])). 663.98/88.10 thf(ax77, axiom, 663.98/88.10 (![X0:$i,X1:( $i > $i )]: 663.98/88.10 ( ( c_lam @ X0 @ X1 ) = 663.98/88.10 ( c_famunion @ 663.98/88.10 X0 @ 663.98/88.10 ( ^[X2:$i]: 663.98/88.10 ( c_Repl @ ( X1 @ X2 ) @ ( ^[X3:$i]: ( c_setsum @ X2 @ X3 ) ) ) ) ) ))). 663.98/88.10 thf(zip_derived_cl193, plain, 663.98/88.10 (![X0 : $i, X1 : $i > $i]: 663.98/88.10 ((c_lam @ X0 @ X1) 663.98/88.10 = (c_famunion @ X0 @ 663.98/88.10 (^[Y0 : $i]: 663.98/88.10 (c_Repl @ (X1 @ Y0) @ (^[Y1 : $i]: (c_setsum @ Y0 @ Y1))))))), 663.98/88.10 inference('cnf', [status(esa)], [ax77])). 663.98/88.10 thf(zip_derived_cl194, plain, 663.98/88.10 (![X2 : $i, X3 : $i]: (('#l_lift19' @ X2 @ X3) = (c_setsum @ X2 @ X3))), 663.98/88.10 define([status(thm)])). 663.98/88.10 thf(zip_derived_cl717, plain, 663.98/88.10 (![X0 : $i, X1 : $i]: 663.98/88.10 ((c_binrep @ X0 @ X1) = ('#l_lift19' @ X0 @ (c_Power @ X1)))), 663.98/88.10 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl194])). 663.98/88.10 thf(ax54, axiom, 663.98/88.10 (![X0:$i,X1:$i]: 663.98/88.10 ( ( c_binintersect @ X0 @ X1 ) = 663.98/88.10 ( c_Sep @ X0 @ ( ^[X2:$i]: ( c_In @ X2 @ X1 ) ) ) ))). 663.98/88.10 thf(zip_derived_cl259, plain, 663.98/88.10 (![X0 : $i, X1 : $i]: 663.98/88.10 ((c_binintersect @ X0 @ X1) 663.98/88.10 = (c_Sep @ X0 @ (^[Y0 : $i]: (c_In @ Y0 @ X1))))), 663.98/88.10 inference('cnf', [status(esa)], [ax54])). 663.98/88.10 thf(ax98, axiom, 663.98/88.10 (![X0:$i,X1:$i,X2:$i]: 663.98/88.10 ( ( c_SNoEq_ @ X0 @ X1 @ X2 ) <=> 663.98/88.10 ( c_PNoEq_ @ 663.98/88.10 X0 @ ( ^[X3:$i]: ( c_In @ X3 @ X1 ) ) @ 663.98/88.10 ( ^[X3:$i]: ( c_In @ X3 @ X2 ) ) ) ))). 663.98/88.10 thf(zip_derived_cl84, plain, 663.98/88.10 (![X0 : $i, X1 : $i, X2 : $i]: 663.98/88.10 ( (c_PNoEq_ @ X0 @ (^[Y0 : $i]: (c_In @ Y0 @ X1)) @ 663.98/88.10 (^[Y0 : $i]: (c_In @ Y0 @ X2))) 663.98/88.10 | ~ (c_SNoEq_ @ X0 @ X1 @ X2))), 663.98/88.10 inference('cnf', [status(esa)], [ax98])). 663.98/88.10 thf(zip_derived_cl85, plain, 663.98/88.10 (![X1 : $i, X3 : $i]: (('#l_lift11' @ X1 @ X3) = (c_In @ X3 @ X1))), 663.98/88.10 define([status(thm)])). 663.98/88.10 thf(zip_derived_cl260, plain, 663.98/88.10 (![X0 : $i, X1 : $i]: 663.98/88.10 ((c_binintersect @ X0 @ X1) = (c_Sep @ X0 @ ('#l_lift11' @ X1)))), 663.98/88.10 inference('lambda_lifting', [status(thm)], 663.98/88.10 [zip_derived_cl259, zip_derived_cl85])). 663.98/88.10 thf(zip_derived_cl262, plain, 663.98/88.10 (![X1 : $i > $i, X2 : $i]: 663.98/88.10 (('#l_lift27' @ X1 @ X2) = (c_Power @ (X1 @ X2)))), 663.98/88.10 define([status(thm)])). 663.98/88.10 thf(zip_derived_cl717, plain, 663.98/88.10 (![X0 : $i, X1 : $i]: 663.98/88.10 ((c_binrep @ X0 @ X1) = ('#l_lift19' @ X0 @ (c_Power @ X1)))), 663.98/88.10 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl194])). 663.98/88.10 thf(zip_derived_cl262, plain, 663.98/88.10 (![X1 : $i > $i, X2 : $i]: 663.98/88.10 (('#l_lift27' @ X1 @ X2) = (c_Power @ (X1 @ X2)))), 663.98/88.10 define([status(thm)])). 663.98/88.10 thf(zip_derived_cl717, plain, 663.98/88.10 (![X0 : $i, X1 : $i]: 663.98/88.10 ((c_binrep @ X0 @ X1) = ('#l_lift19' @ X0 @ (c_Power @ X1)))), 663.98/88.10 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl194])). 663.98/88.10 thf(zip_derived_cl262, plain, 663.98/88.10 (![X1 : $i > $i, X2 : $i]: 663.98/88.10 (('#l_lift27' @ X1 @ X2) = (c_Power @ (X1 @ X2)))), 663.98/88.10 define([status(thm)])). 663.98/88.10 thf(zip_derived_cl717, plain, 663.98/88.10 (![X0 : $i, X1 : $i]: 663.98/88.10 ((c_binrep @ X0 @ X1) = ('#l_lift19' @ X0 @ (c_Power @ X1)))), 663.98/88.10 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl194])). 663.98/88.10 thf(zip_derived_cl6490, plain, 663.98/88.10 (![X0 : $i > $o, X1 : $i > $i]: 663.98/88.10 (c_and @ 663.98/88.10 (((((X0 @ 663.98/88.10 (X1 @ 663.98/88.10 (c_Sep @ (X1 @ (c_Power @ c_Empty)) @ 663.98/88.10 ('#l_lift11' @ 663.98/88.10 (X1 @ 663.98/88.10 ('#l_lift19' @ 663.98/88.10 ('#l_lift27' @ ('#l_lift27' @ c_Power) @ c_Empty) @ 663.98/88.10 (c_Power @ c_Empty))))))) => 663.98/88.10 (((c_TransSet @ (X1 @ c_Empty)) => 663.98/88.10 (((!!) @ (^[Y0 : $i]: 663.98/88.10 (((c_In @ Y0 @ c_Empty) => 663.98/88.10 (((??) @ (^[Y1 : $i]: 663.98/88.10 (c_and @ (c_Subq @ Y1 @ Y0) @ 663.98/88.10 (c_exactly2 @ 663.98/88.10 (c_ordsucc @ (X1 @ Y1)))))))))))))))) => 663.98/88.10 (((??) @ (^[Y0 : $i]: 663.98/88.10 (c_and @ 663.98/88.10 (((??) @ (^[Y1 : $i]: 663.98/88.10 (c_and @ (c_Subq @ Y1 @ Y0) @ 663.98/88.10 (((((Y0) = (X1 @ Y0))) => 663.98/88.10 (((??) @ (^[Y2 : $i]: 663.98/88.10 (c_and @ 663.98/88.10 (c_Subq @ Y2 @ Y0) @ 663.98/88.10 (c_not @ 663.98/88.10 (X0 @ 663.98/88.10 (c_setprod @ Y1 @ 663.98/88.10 (c_binrep @ 663.98/88.10 (c_Power @ 663.98/88.10 (c_binrep @ 663.98/88.10 (c_Power @ 663.98/88.10 (c_Power @ c_Empty)) @ 663.98/88.10 c_Empty)) @ 663.98/88.10 (c_Power @ 663.98/88.10 (c_Power @ c_Empty)))))))))))))))) @ 663.98/88.10 (c_not @ (c_SNo @ Y0)))))))) @ 663.98/88.10 (c_not @ 663.98/88.10 (X0 @ 663.98/88.10 (X1 @ 663.98/88.10 (X1 @ 663.98/88.10 (X1 @ 663.98/88.10 ('#l_lift19' @ 663.98/88.10 ('#l_lift19' @ 663.98/88.10 ('#l_lift27' @ 663.98/88.10 ('#l_lift19' @ ('#l_lift27' @ c_Power @ c_Empty)) @ 663.98/88.10 (c_Power @ c_Empty)) @ 663.98/88.10 ('#l_lift27' @ c_Power @ c_Empty)) @ 663.98/88.10 (c_Power @ c_Empty))))))))), 663.98/88.10 inference('demod', [status(thm)], 663.98/88.10 [zip_derived_cl6489, zip_derived_cl262, zip_derived_cl262, 663.98/88.10 zip_derived_cl717, zip_derived_cl260, zip_derived_cl262, 663.98/88.10 zip_derived_cl717, zip_derived_cl262, zip_derived_cl717, 663.98/88.10 zip_derived_cl262, zip_derived_cl717])). 663.98/88.10 thf(ax14, axiom, 663.98/88.10 (![X0:$o,X1:$o]: 663.98/88.10 ( ( c_and @ X0 @ X1 ) <=> 663.98/88.10 ( ![X2:$o]: ( ( ( X0 ) => ( ( X1 ) => ( X2 ) ) ) => ( X2 ) ) ) ))). 663.98/88.10 thf(zip_derived_cl268, plain, 663.98/88.10 (![X0 : $o, X1 : $o, X2 : $o]: ( (X0) | (X1) | ~ (c_and @ X2 @ X0))), 663.98/88.10 inference('cnf', [status(esa)], [ax14])). 663.98/88.10 thf(zip_derived_cl388, plain, 663.98/88.10 (![X0 : $o, X1 : $o]: (~ (c_and @ X1 @ X0) | (X0))), 663.98/88.10 inference('condensation', [status(thm)], [zip_derived_cl268])). 663.98/88.10 thf(zip_derived_cl6491, plain, 663.98/88.10 (![X0 : $i > $o, X1 : $i > $i]: 663.98/88.10 (c_not @ 663.98/88.10 (X0 @ 663.98/88.10 (X1 @ 663.98/88.10 (X1 @ 663.98/88.10 (X1 @ 663.98/88.10 ('#l_lift19' @ 663.98/88.10 ('#l_lift19' @ 663.98/88.10 ('#l_lift27' @ 663.98/88.10 ('#l_lift19' @ ('#l_lift27' @ c_Power @ c_Empty)) @ 663.98/88.10 (c_Power @ c_Empty)) @ 663.98/88.10 ('#l_lift27' @ c_Power @ c_Empty)) @ 663.98/88.10 (c_Power @ c_Empty)))))))), 663.98/88.10 inference('sup-', [status(thm)], [zip_derived_cl6490, zip_derived_cl388])). 663.98/88.10 thf(zip_derived_cl7845, plain, ( (c_not @ ($true))), 663.98/88.10 inference('sup+', [status(thm)], [zip_derived_cl3143, zip_derived_cl6491])). 663.98/88.10 thf(zip_derived_cl8348, plain, (![X0 : $o]: (X0)), 663.98/88.10 inference('demod', [status(thm)], [zip_derived_cl378, zip_derived_cl7845])). 663.98/88.10 thf(zip_derived_cl8349, plain, ($false), 663.98/88.10 inference('flex_resolve', [status(thm)], [zip_derived_cl8348])). 663.98/88.10 663.98/88.10 % SZS output end Refutation 663.98/88.10 663.98/88.10 663.98/88.10 % Terminating... 664.74/88.24 % Runner terminated. 664.74/88.24 % Zipperpin 1.5 exiting 664.74/88.24 EOF