0.00/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vd9yZWCJji true 0.13/0.35 % Computer : n005.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 : 1200 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Jul 13 10:16:04 EDT 2021 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 120 s 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.36 % Number of cores: 8 0.13/0.36 % Python version: Python 3.6.8 0.13/0.36 % Running in HO mode 0.55/0.66 % Total configuration time : 828 0.55/0.66 % Estimated wc time : 983 0.55/0.66 % Estimated cpu time (8 cpus) : 122.875 0.55/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.55/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.55/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 0.58/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 12.52/2.20 % Solved by lams/40_c.s.sh. 12.52/2.20 % done 1056 iterations in 1.454s 12.52/2.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 12.52/2.20 % SZS output start Refutation 12.52/2.20 thf(del_type, type, del: $tType). 12.52/2.20 thf(tp__ty_2Erealax_2Ereal_type, type, tp__ty_2Erealax_2Ereal: $tType). 12.52/2.20 thf(arr_type, type, arr: del > del > del). 12.52/2.20 thf(p_type, type, p: $i > $o). 12.52/2.20 thf(c_2Epair_2E_2C_type, type, c_2Epair_2E_2C: del > del > $i). 12.52/2.20 thf(inj__ty_2Erealax_2Ereal_type, type, inj__ty_2Erealax_2Ereal: tp__ty_2Erealax_2Ereal > $i). 12.52/2.20 thf(bool_type, type, bool: del). 12.52/2.20 thf(ap_type, type, ap: $i > $i > $i). 12.52/2.20 thf(mem_type, type, mem: $i > del > $o). 12.52/2.20 thf(c_2Epred__set_2ESUBSET_type, type, c_2Epred__set_2ESUBSET: del > $i). 12.52/2.20 thf(sk__4_type, type, sk__4: tp__ty_2Erealax_2Ereal). 12.52/2.20 thf(c_2Ereal__topology_2Ebounded__def_type, type, c_2Ereal__topology_2Ebounded__def: 12.52/2.20 $i). 12.52/2.20 thf(sk__3_type, type, sk__3: tp__ty_2Erealax_2Ereal). 12.52/2.20 thf(c_2Ereal__topology_2Ecball_type, type, c_2Ereal__topology_2Ecball: $i). 12.52/2.20 thf(ty_2Epair_2Eprod_type, type, ty_2Epair_2Eprod: del > del > del). 12.52/2.20 thf(c_2Ereal__topology_2Eball_type, type, c_2Ereal__topology_2Eball: $i). 12.52/2.20 thf(ty_2Erealax_2Ereal_type, type, ty_2Erealax_2Ereal: del). 12.52/2.20 thf(mem_c_2Epair_2E_2C, axiom, 12.52/2.20 (![A_27a:del,A_27b:del]: 12.52/2.20 ( mem @ 12.52/2.20 ( c_2Epair_2E_2C @ A_27a @ A_27b ) @ 12.52/2.20 ( arr @ A_27a @ ( arr @ A_27b @ ( ty_2Epair_2Eprod @ A_27a @ A_27b ) ) ) ))). 12.52/2.20 thf(zip_derived_cl103, plain, 12.52/2.20 (![X0 : del, X1 : del]: 12.52/2.20 (mem @ (c_2Epair_2E_2C @ X0 @ X1) @ 12.52/2.20 (arr @ X0 @ (arr @ X1 @ (ty_2Epair_2Eprod @ X0 @ X1))))), 12.52/2.20 inference('cnf', [status(esa)], [mem_c_2Epair_2E_2C])). 12.52/2.20 thf(ap_tp, axiom, 12.52/2.20 (![A:del,B:del,F:$i]: 12.52/2.20 ( ( mem @ F @ ( arr @ A @ B ) ) => 12.52/2.20 ( ![X:$i]: ( ( mem @ X @ A ) => ( mem @ ( ap @ F @ X ) @ B ) ) ) ))). 12.52/2.20 thf(zip_derived_cl0, plain, 12.52/2.20 (![X0 : $i, X1 : del, X2 : $i, X3 : del]: 12.52/2.20 (~ (mem @ X0 @ X1) 12.52/2.20 | (mem @ (ap @ X2 @ X0) @ X3) 12.52/2.20 | ~ (mem @ X2 @ (arr @ X1 @ X3)))), 12.52/2.20 inference('cnf', [status(esa)], [ap_tp])). 12.52/2.20 thf(zip_derived_cl331, plain, 12.52/2.20 (![X0 : del, X1 : del, X2 : $i]: 12.52/2.20 ( (mem @ (ap @ (c_2Epair_2E_2C @ X1 @ X0) @ X2) @ 12.52/2.20 (arr @ X0 @ (ty_2Epair_2Eprod @ X1 @ X0))) 12.52/2.20 | ~ (mem @ X2 @ X1))), 12.52/2.20 inference('sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl0])). 12.52/2.20 thf(zip_derived_cl0, plain, 12.52/2.20 (![X0 : $i, X1 : del, X2 : $i, X3 : del]: 12.52/2.20 (~ (mem @ X0 @ X1) 12.52/2.20 | (mem @ (ap @ X2 @ X0) @ X3) 12.52/2.20 | ~ (mem @ X2 @ (arr @ X1 @ X3)))), 12.52/2.20 inference('cnf', [status(esa)], [ap_tp])). 12.52/2.20 thf(zip_derived_cl643, plain, 12.52/2.20 (![X0 : del, X1 : del, X2 : $i, X3 : $i]: 12.52/2.20 (~ (mem @ X2 @ X1) 12.52/2.20 | (mem @ (ap @ (ap @ (c_2Epair_2E_2C @ X1 @ X0) @ X2) @ X3) @ 12.52/2.20 (ty_2Epair_2Eprod @ X1 @ X0)) 12.52/2.20 | ~ (mem @ X3 @ X0))), 12.52/2.20 inference('sup-', [status(thm)], [zip_derived_cl331, zip_derived_cl0])). 12.52/2.20 thf(mem_c_2Ereal__topology_2Ecball, axiom, 12.52/2.20 (mem @ 12.52/2.20 c_2Ereal__topology_2Ecball @ 12.52/2.20 ( arr @ 12.52/2.20 ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ 12.52/2.20 ( arr @ ty_2Erealax_2Ereal @ bool ) ))). 12.52/2.20 thf(zip_derived_cl41, plain, 12.52/2.20 ( (mem @ c_2Ereal__topology_2Ecball @ 12.52/2.20 (arr @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (arr @ ty_2Erealax_2Ereal @ bool)))), 12.52/2.20 inference('cnf', [status(esa)], [mem_c_2Ereal__topology_2Ecball])). 12.52/2.20 thf(zip_derived_cl0, plain, 12.52/2.20 (![X0 : $i, X1 : del, X2 : $i, X3 : del]: 12.52/2.20 (~ (mem @ X0 @ X1) 12.52/2.20 | (mem @ (ap @ X2 @ X0) @ X3) 12.52/2.20 | ~ (mem @ X2 @ (arr @ X1 @ X3)))), 12.52/2.20 inference('cnf', [status(esa)], [ap_tp])). 12.52/2.20 thf(zip_derived_cl311, plain, 12.52/2.20 (![X0 : $i]: 12.52/2.20 ( (mem @ (ap @ c_2Ereal__topology_2Ecball @ X0) @ 12.52/2.20 (arr @ ty_2Erealax_2Ereal @ bool)) 12.52/2.20 | ~ (mem @ X0 @ 12.52/2.20 (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal)))), 12.52/2.20 inference('sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl0])). 12.52/2.20 thf(conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL, axiom, 12.52/2.20 (![V0x:tp__ty_2Erealax_2Ereal,V1e:tp__ty_2Erealax_2Ereal]: 12.52/2.20 ( p @ 12.52/2.20 ( ap @ 12.52/2.20 ( ap @ 12.52/2.20 ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ 12.52/2.20 ( ap @ 12.52/2.20 c_2Ereal__topology_2Eball @ 12.52/2.20 ( ap @ 12.52/2.20 ( ap @ 12.52/2.20 ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ 12.52/2.20 ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ 12.52/2.20 ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) ) @ 12.52/2.20 ( ap @ 12.52/2.20 c_2Ereal__topology_2Ecball @ 12.52/2.20 ( ap @ 12.52/2.20 ( ap @ 12.52/2.20 ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ 12.52/2.20 ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ 12.52/2.20 ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) ) ))). 12.52/2.20 thf(zip_derived_cl154, plain, 12.52/2.20 (![X0 : tp__ty_2Erealax_2Ereal, X1 : tp__ty_2Erealax_2Ereal]: 12.52/2.20 (p @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ (c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal) @ 12.52/2.20 (ap @ c_2Ereal__topology_2Eball @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ 12.52/2.20 (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X0)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X1)))) @ 12.52/2.20 (ap @ c_2Ereal__topology_2Ecball @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ 12.52/2.20 (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X0)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X1)))))), 12.52/2.20 inference('cnf', [status(esa)], 12.52/2.20 [conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL])). 12.52/2.20 thf(conj_thm_2Ereal__topology_2EBOUNDED__SUBSET, axiom, 12.52/2.20 (![V0s:$i]: 12.52/2.20 ( ( mem @ V0s @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) => 12.52/2.20 ( ![V1t:$i]: 12.52/2.20 ( ( mem @ V1t @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) => 12.52/2.20 ( ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ V1t ) ) & 12.52/2.20 ( p @ 12.52/2.20 ( ap @ 12.52/2.20 ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ V0s ) @ 12.52/2.20 V1t ) ) ) => 12.52/2.20 ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ V0s ) ) ) ) ) ))). 12.52/2.20 thf(zip_derived_cl104, plain, 12.52/2.20 (![X0 : $i, X1 : $i]: 12.52/2.20 (~ (mem @ X0 @ (arr @ ty_2Erealax_2Ereal @ bool)) 12.52/2.20 | ~ (p @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ (c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal) @ X1) @ X0)) 12.52/2.20 | ~ (p @ (ap @ c_2Ereal__topology_2Ebounded__def @ X0)) 12.52/2.20 | (p @ (ap @ c_2Ereal__topology_2Ebounded__def @ X1)) 12.52/2.20 | ~ (mem @ X1 @ (arr @ ty_2Erealax_2Ereal @ bool)))), 12.52/2.20 inference('cnf', [status(esa)], 12.52/2.20 [conj_thm_2Ereal__topology_2EBOUNDED__SUBSET])). 12.52/2.20 thf(zip_derived_cl617, plain, 12.52/2.20 (![X0 : tp__ty_2Erealax_2Ereal, X1 : tp__ty_2Erealax_2Ereal]: 12.52/2.20 (~ (mem @ 12.52/2.20 (ap @ c_2Ereal__topology_2Eball @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ 12.52/2.20 (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X1)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X0))) @ 12.52/2.20 (arr @ ty_2Erealax_2Ereal @ bool)) 12.52/2.20 | (p @ 12.52/2.20 (ap @ c_2Ereal__topology_2Ebounded__def @ 12.52/2.20 (ap @ c_2Ereal__topology_2Eball @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ 12.52/2.20 (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X1)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X0))))) 12.52/2.20 | ~ (p @ 12.52/2.20 (ap @ c_2Ereal__topology_2Ebounded__def @ 12.52/2.20 (ap @ c_2Ereal__topology_2Ecball @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ 12.52/2.20 (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X1)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X0))))) 12.52/2.20 | ~ (mem @ 12.52/2.20 (ap @ c_2Ereal__topology_2Ecball @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ 12.52/2.20 (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X1)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X0))) @ 12.52/2.20 (arr @ ty_2Erealax_2Ereal @ bool)))), 12.52/2.20 inference('sup-', [status(thm)], [zip_derived_cl154, zip_derived_cl104])). 12.52/2.20 thf(conj_thm_2Ereal__topology_2EBOUNDED__CBALL, axiom, 12.52/2.20 (![V0x:tp__ty_2Erealax_2Ereal,V1e:tp__ty_2Erealax_2Ereal]: 12.52/2.20 ( p @ 12.52/2.20 ( ap @ 12.52/2.20 c_2Ereal__topology_2Ebounded__def @ 12.52/2.20 ( ap @ 12.52/2.20 c_2Ereal__topology_2Ecball @ 12.52/2.20 ( ap @ 12.52/2.20 ( ap @ 12.52/2.20 ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ 12.52/2.20 ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ 12.52/2.20 ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) ) ))). 12.52/2.20 thf(zip_derived_cl106, plain, 12.52/2.20 (![X0 : tp__ty_2Erealax_2Ereal, X1 : tp__ty_2Erealax_2Ereal]: 12.52/2.20 (p @ 12.52/2.20 (ap @ c_2Ereal__topology_2Ebounded__def @ 12.52/2.20 (ap @ c_2Ereal__topology_2Ecball @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ 12.52/2.20 (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X0)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X1)))))), 12.52/2.20 inference('cnf', [status(esa)], 12.52/2.20 [conj_thm_2Ereal__topology_2EBOUNDED__CBALL])). 12.52/2.20 thf(zip_derived_cl619, plain, 12.52/2.20 (![X0 : tp__ty_2Erealax_2Ereal, X1 : tp__ty_2Erealax_2Ereal]: 12.52/2.20 (~ (mem @ 12.52/2.20 (ap @ c_2Ereal__topology_2Eball @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ 12.52/2.20 (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X1)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X0))) @ 12.52/2.20 (arr @ ty_2Erealax_2Ereal @ bool)) 12.52/2.20 | (p @ 12.52/2.20 (ap @ c_2Ereal__topology_2Ebounded__def @ 12.52/2.20 (ap @ c_2Ereal__topology_2Eball @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ 12.52/2.20 (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X1)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X0))))) 12.52/2.20 | ~ (mem @ 12.52/2.20 (ap @ c_2Ereal__topology_2Ecball @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ 12.52/2.20 (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X1)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ X0))) @ 12.52/2.20 (arr @ ty_2Erealax_2Ereal @ bool)))), 12.52/2.20 inference('demod', [status(thm)], [zip_derived_cl617, zip_derived_cl106])). 12.52/2.20 thf(conj_thm_2Ereal__topology_2EBOUNDED__BALL, conjecture, 12.52/2.20 (![V0x:tp__ty_2Erealax_2Ereal,V1e:tp__ty_2Erealax_2Ereal]: 12.52/2.20 ( p @ 12.52/2.20 ( ap @ 12.52/2.20 c_2Ereal__topology_2Ebounded__def @ 12.52/2.20 ( ap @ 12.52/2.20 c_2Ereal__topology_2Eball @ 12.52/2.20 ( ap @ 12.52/2.20 ( ap @ 12.52/2.20 ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ 12.52/2.20 ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ 12.52/2.20 ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) ) ))). 12.52/2.20 thf(zf_stmt_0, negated_conjecture, 12.52/2.20 (~( ![V0x:tp__ty_2Erealax_2Ereal,V1e:tp__ty_2Erealax_2Ereal]: 12.52/2.20 ( p @ 12.52/2.20 ( ap @ 12.52/2.20 c_2Ereal__topology_2Ebounded__def @ 12.52/2.20 ( ap @ 12.52/2.20 c_2Ereal__topology_2Eball @ 12.52/2.20 ( ap @ 12.52/2.20 ( ap @ 12.52/2.20 ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ 12.52/2.20 ( inj__ty_2Erealax_2Ereal @ V0x ) ) @ 12.52/2.20 ( inj__ty_2Erealax_2Ereal @ V1e ) ) ) ) ) )), 12.52/2.20 inference('cnf.neg', [status(esa)], 12.52/2.20 [conj_thm_2Ereal__topology_2EBOUNDED__BALL])). 12.52/2.20 thf(zip_derived_cl172, plain, 12.52/2.20 (~ (p @ 12.52/2.20 (ap @ c_2Ereal__topology_2Ebounded__def @ 12.52/2.20 (ap @ c_2Ereal__topology_2Eball @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ 12.52/2.20 (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ sk__3)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ sk__4)))))), 12.52/2.20 inference('cnf', [status(esa)], [zf_stmt_0])). 12.52/2.20 thf(zip_derived_cl3829, plain, 12.52/2.20 ((~ (mem @ 12.52/2.20 (ap @ c_2Ereal__topology_2Ecball @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ 12.52/2.20 (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ sk__3)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ sk__4))) @ 12.52/2.20 (arr @ ty_2Erealax_2Ereal @ bool)) 12.52/2.20 | ~ (mem @ 12.52/2.20 (ap @ c_2Ereal__topology_2Eball @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ 12.52/2.20 (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ sk__3)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ sk__4))) @ 12.52/2.20 (arr @ ty_2Erealax_2Ereal @ bool)))), 12.52/2.20 inference('sup-', [status(thm)], [zip_derived_cl619, zip_derived_cl172])). 12.52/2.20 thf(zip_derived_cl3835, plain, 12.52/2.20 ((~ (mem @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ sk__3)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ sk__4)) @ 12.52/2.20 (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal)) 12.52/2.20 | ~ (mem @ 12.52/2.20 (ap @ c_2Ereal__topology_2Eball @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ 12.52/2.20 (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ sk__3)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ sk__4))) @ 12.52/2.20 (arr @ ty_2Erealax_2Ereal @ bool)))), 12.52/2.20 inference('sup-', [status(thm)], [zip_derived_cl311, zip_derived_cl3829])). 12.52/2.20 thf(mem_c_2Ereal__topology_2Eball, axiom, 12.52/2.20 (mem @ 12.52/2.20 c_2Ereal__topology_2Eball @ 12.52/2.20 ( arr @ 12.52/2.20 ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ 12.52/2.20 ( arr @ ty_2Erealax_2Ereal @ bool ) ))). 12.52/2.20 thf(zip_derived_cl99, plain, 12.52/2.20 ( (mem @ c_2Ereal__topology_2Eball @ 12.52/2.20 (arr @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (arr @ ty_2Erealax_2Ereal @ bool)))), 12.52/2.20 inference('cnf', [status(esa)], [mem_c_2Ereal__topology_2Eball])). 12.52/2.20 thf(zip_derived_cl0, plain, 12.52/2.20 (![X0 : $i, X1 : del, X2 : $i, X3 : del]: 12.52/2.20 (~ (mem @ X0 @ X1) 12.52/2.20 | (mem @ (ap @ X2 @ X0) @ X3) 12.52/2.20 | ~ (mem @ X2 @ (arr @ X1 @ X3)))), 12.52/2.20 inference('cnf', [status(esa)], [ap_tp])). 12.52/2.20 thf(zip_derived_cl317, plain, 12.52/2.20 (![X0 : $i]: 12.52/2.20 ( (mem @ (ap @ c_2Ereal__topology_2Eball @ X0) @ 12.52/2.20 (arr @ ty_2Erealax_2Ereal @ bool)) 12.52/2.20 | ~ (mem @ X0 @ 12.52/2.20 (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal)))), 12.52/2.20 inference('sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl0])). 12.52/2.20 thf(zip_derived_cl3843, plain, 12.52/2.20 (~ (mem @ 12.52/2.20 (ap @ 12.52/2.20 (ap @ (c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ sk__3)) @ 12.52/2.20 (inj__ty_2Erealax_2Ereal @ sk__4)) @ 12.52/2.20 (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))), 12.52/2.20 inference('clc', [status(thm)], [zip_derived_cl3835, zip_derived_cl317])). 12.52/2.20 thf(zip_derived_cl4458, plain, 12.52/2.20 ((~ (mem @ (inj__ty_2Erealax_2Ereal @ sk__4) @ ty_2Erealax_2Ereal) 12.52/2.20 | ~ (mem @ (inj__ty_2Erealax_2Ereal @ sk__3) @ ty_2Erealax_2Ereal))), 12.52/2.20 inference('sup-', [status(thm)], [zip_derived_cl643, zip_derived_cl3843])). 12.52/2.20 thf(stp_inj_mem_ty_2Erealax_2Ereal, axiom, 12.52/2.20 (![X:tp__ty_2Erealax_2Ereal]: 12.52/2.20 ( mem @ ( inj__ty_2Erealax_2Ereal @ X ) @ ty_2Erealax_2Ereal ))). 12.52/2.20 thf(zip_derived_cl3, plain, 12.52/2.20 (![X0 : tp__ty_2Erealax_2Ereal]: 12.52/2.20 (mem @ (inj__ty_2Erealax_2Ereal @ X0) @ ty_2Erealax_2Ereal)), 12.52/2.20 inference('cnf', [status(esa)], [stp_inj_mem_ty_2Erealax_2Ereal])). 12.52/2.20 thf(zip_derived_cl3, plain, 12.52/2.20 (![X0 : tp__ty_2Erealax_2Ereal]: 12.52/2.20 (mem @ (inj__ty_2Erealax_2Ereal @ X0) @ ty_2Erealax_2Ereal)), 12.52/2.20 inference('cnf', [status(esa)], [stp_inj_mem_ty_2Erealax_2Ereal])). 12.52/2.20 thf(zip_derived_cl4544, plain, ($false), 12.52/2.20 inference('demod', [status(thm)], 12.52/2.20 [zip_derived_cl4458, zip_derived_cl3, zip_derived_cl3])). 12.52/2.20 12.52/2.20 % SZS output end Refutation 12.52/2.20 12.52/2.20 12.52/2.20 % Terminating... 12.52/2.29 % Runner terminated. 12.52/2.29 % Zipperpin 1.5 exiting 12.52/2.31 EOF