0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 4.81/4.84 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LgiWbuI725 true 4.88/5.05 % Computer : n023.cluster.edu 4.88/5.05 % Model : x86_64 x86_64 4.88/5.05 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 4.88/5.05 % Memory : 8042.1875MB 4.88/5.05 % OS : Linux 3.10.0-693.el7.x86_64 4.88/5.05 % CPULimit : 1920 4.88/5.05 % WCLimit : 240 4.88/5.05 % DateTime : Wed Jul 30 09:49:40 EDT 2025 4.88/5.05 % CPUTime : 4.88/5.05 % Running portfolio for 1920 s 4.88/5.05 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 4.88/5.05 % Number of cores: 8 4.91/5.06 % Python version: Python 3.6.8 4.91/5.06 % Running in HO mode 4.92/5.34 % Total configuration time : 828 4.92/5.34 % Estimated wc time : 1656 4.92/5.34 % Estimated cpu time (8 cpus) : 207.0 4.92/5.38 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 4.92/5.38 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 4.92/5.38 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 4.92/5.39 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 4.92/5.41 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 4.92/5.41 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 4.92/5.41 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 4.92/5.43 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 28.34/8.23 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 72.07/13.82 % Solved by lams/40_c_ic.sh. 72.07/13.82 % done 2683 iterations in 8.375s 72.07/13.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 72.07/13.82 % SZS output start Refutation 72.07/13.82 thf(tp__ty_2Eextreal_2Eextreal_type, type, tp__ty_2Eextreal_2Eextreal: $tType). 72.07/13.82 thf(c_2Eextreal_2Eextreal__le_type, type, c_2Eextreal_2Eextreal__le: $i). 72.07/13.82 thf(sk__1_type, type, sk__1: tp__ty_2Eextreal_2Eextreal). 72.07/13.82 thf(fo__c_2Eextreal_2Eextreal__max_type, type, fo__c_2Eextreal_2Eextreal__max: 72.07/13.82 tp__ty_2Eextreal_2Eextreal > tp__ty_2Eextreal_2Eextreal > tp__ty_2Eextreal_2Eextreal). 72.07/13.82 thf(c_2Eextreal_2Eextreal__max_type, type, c_2Eextreal_2Eextreal__max: $i). 72.07/13.82 thf(inj__ty_2Eextreal_2Eextreal_type, type, inj__ty_2Eextreal_2Eextreal: 72.07/13.82 tp__ty_2Eextreal_2Eextreal > $i). 72.07/13.82 thf(p_type, type, p: $i > $o). 72.07/13.82 thf(sk__2_type, type, sk__2: tp__ty_2Eextreal_2Eextreal). 72.07/13.82 thf(sk__type, type, sk_: tp__ty_2Eextreal_2Eextreal). 72.07/13.82 thf(ap_type, type, ap: $i > $i > $i). 72.07/13.82 thf(stp_eq_fo_c_2Eextreal_2Eextreal__max, axiom, 72.07/13.82 (![X0:tp__ty_2Eextreal_2Eextreal,X1:tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( ( inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 ( fo__c_2Eextreal_2Eextreal__max @ X0 @ X1 ) ) = 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__max @ ( inj__ty_2Eextreal_2Eextreal @ X0 ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ X1 ) ) ))). 72.07/13.82 thf(zip_derived_cl8, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ((inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X0 @ X1)) 72.07/13.82 = (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)))), 72.07/13.82 inference('cnf', [status(esa)], [stp_eq_fo_c_2Eextreal_2Eextreal__max])). 72.07/13.82 thf(conj_thm_2Eextreal_2Ele__refl, axiom, 72.07/13.82 (![V0x:tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ ( inj__ty_2Eextreal_2Eextreal @ V0x ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V0x ) ) ))). 72.07/13.82 thf(zip_derived_cl13, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)))), 72.07/13.82 inference('cnf', [status(esa)], [conj_thm_2Eextreal_2Ele__refl])). 72.07/13.82 thf(conj_thm_2Eextreal_2Ele__antisym, axiom, 72.07/13.82 (![V0x:tp__ty_2Eextreal_2Eextreal,V1y:tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( ( ( V0x ) = ( V1y ) ) <=> 72.07/13.82 ( ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V1y ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V0x ) ) ) & 72.07/13.82 ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V0x ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V1y ) ) ) ) ))). 72.07/13.82 thf(zip_derived_cl16, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (((X1) = (X0)) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1))))), 72.07/13.82 inference('cnf', [status(esa)], [conj_thm_2Eextreal_2Ele__antisym])). 72.07/13.82 thf(zip_derived_cl8, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ((inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X0 @ X1)) 72.07/13.82 = (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)))), 72.07/13.82 inference('cnf', [status(esa)], [stp_eq_fo_c_2Eextreal_2Eextreal__max])). 72.07/13.82 thf(zip_derived_cl13, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)))), 72.07/13.82 inference('cnf', [status(esa)], [conj_thm_2Eextreal_2Ele__refl])). 72.07/13.82 thf(zip_derived_cl21, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X1 @ X0))))), 72.07/13.82 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl13])). 72.07/13.82 thf(zip_derived_cl8, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ((inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X0 @ X1)) 72.07/13.82 = (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)))), 72.07/13.82 inference('cnf', [status(esa)], [stp_eq_fo_c_2Eextreal_2Eextreal__max])). 72.07/13.82 thf(zip_derived_cl25, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))))), 72.07/13.82 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl8])). 72.07/13.82 thf(zip_derived_cl8, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ((inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X0 @ X1)) 72.07/13.82 = (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)))), 72.07/13.82 inference('cnf', [status(esa)], [stp_eq_fo_c_2Eextreal_2Eextreal__max])). 72.07/13.82 thf(conj_thm_2Eextreal_2Ele__max, axiom, 72.07/13.82 (![V0z:tp__ty_2Eextreal_2Eextreal,V1x:tp__ty_2Eextreal_2Eextreal, 72.07/13.82 V2y:tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( ( ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V0z ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V1x ) ) ) | 72.07/13.82 ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V0z ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V2y ) ) ) ) <=> 72.07/13.82 ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ ( inj__ty_2Eextreal_2Eextreal @ V0z ) ) @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__max @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V1x ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V2y ) ) ) ) ))). 72.07/13.82 thf(zip_derived_cl11, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2))) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)))))), 72.07/13.82 inference('cnf', [status(esa)], [conj_thm_2Eextreal_2Ele__max])). 72.07/13.82 thf(zip_derived_cl203, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal, X3 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X3)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X1 @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X3))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X1 @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2))))), 72.07/13.82 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl11])). 72.07/13.82 thf(zip_derived_cl8, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ((inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X0 @ X1)) 72.07/13.82 = (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)))), 72.07/13.82 inference('cnf', [status(esa)], [stp_eq_fo_c_2Eextreal_2Eextreal__max])). 72.07/13.82 thf(zip_derived_cl8, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ((inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X0 @ X1)) 72.07/13.82 = (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)))), 72.07/13.82 inference('cnf', [status(esa)], [stp_eq_fo_c_2Eextreal_2Eextreal__max])). 72.07/13.82 thf(zip_derived_cl217, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal, X3 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X3)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X3))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2))))), 72.07/13.82 inference('demod', [status(thm)], 72.07/13.82 [zip_derived_cl203, zip_derived_cl8, zip_derived_cl8])). 72.07/13.82 thf(zip_derived_cl4532, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1))))), 72.07/13.82 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl217])). 72.07/13.82 thf(zip_derived_cl8, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ((inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X0 @ X1)) 72.07/13.82 = (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)))), 72.07/13.82 inference('cnf', [status(esa)], [stp_eq_fo_c_2Eextreal_2Eextreal__max])). 72.07/13.82 thf(zip_derived_cl16, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (((X1) = (X0)) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1))))), 72.07/13.82 inference('cnf', [status(esa)], [conj_thm_2Eextreal_2Ele__antisym])). 72.07/13.82 thf(zip_derived_cl43, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2))) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X1 @ X0)))) 72.07/13.82 | ((X2) = (fo__c_2Eextreal_2Eextreal__max @ X1 @ X0)))), 72.07/13.82 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl16])). 72.07/13.82 thf(zip_derived_cl8, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ((inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X0 @ X1)) 72.07/13.82 = (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)))), 72.07/13.82 inference('cnf', [status(esa)], [stp_eq_fo_c_2Eextreal_2Eextreal__max])). 72.07/13.82 thf(zip_derived_cl61, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2))) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)) @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)))) 72.07/13.82 | ((X2) = (fo__c_2Eextreal_2Eextreal__max @ X1 @ X0)))), 72.07/13.82 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl8])). 72.07/13.82 thf(zip_derived_cl9, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)))) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1))))), 72.07/13.82 inference('cnf', [status(esa)], [conj_thm_2Eextreal_2Ele__max])). 72.07/13.82 thf(zip_derived_cl924, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (((X2) = (fo__c_2Eextreal_2Eextreal__max @ X1 @ X0)) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2))) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1))))), 72.07/13.82 inference('sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl9])). 72.07/13.82 thf(zip_derived_cl8, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ((inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X0 @ X1)) 72.07/13.82 = (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)))), 72.07/13.82 inference('cnf', [status(esa)], [stp_eq_fo_c_2Eextreal_2Eextreal__max])). 72.07/13.82 thf(conj_thm_2Eextreal_2Ele__total, axiom, 72.07/13.82 (![V0x:tp__ty_2Eextreal_2Eextreal,V1y:tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ ( inj__ty_2Eextreal_2Eextreal @ V1y ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V0x ) ) ) | 72.07/13.82 ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ ( inj__ty_2Eextreal_2Eextreal @ V0x ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V1y ) ) ) ))). 72.07/13.82 thf(zip_derived_cl7, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))))), 72.07/13.82 inference('cnf', [status(esa)], [conj_thm_2Eextreal_2Ele__total])). 72.07/13.82 thf(zip_derived_cl113, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X1 @ X0)))))), 72.07/13.82 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl7])). 72.07/13.82 thf(zip_derived_cl8, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ((inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X0 @ X1)) 72.07/13.82 = (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)))), 72.07/13.82 inference('cnf', [status(esa)], [stp_eq_fo_c_2Eextreal_2Eextreal__max])). 72.07/13.82 thf(zip_derived_cl141, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)) @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)))))), 72.07/13.82 inference('demod', [status(thm)], [zip_derived_cl113, zip_derived_cl8])). 72.07/13.82 thf(zip_derived_cl8, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ((inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X0 @ X1)) 72.07/13.82 = (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)))), 72.07/13.82 inference('cnf', [status(esa)], [stp_eq_fo_c_2Eextreal_2Eextreal__max])). 72.07/13.82 thf(conj_thm_2Eextreal_2Ele__trans, axiom, 72.07/13.82 (![V0x:tp__ty_2Eextreal_2Eextreal,V1y:tp__ty_2Eextreal_2Eextreal, 72.07/13.82 V2z:tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( ( ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V1y ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V2z ) ) ) & 72.07/13.82 ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V0x ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V1y ) ) ) ) => 72.07/13.82 ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ ( inj__ty_2Eextreal_2Eextreal @ V0x ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V2z ) ) ) ))). 72.07/13.82 thf(zip_derived_cl4, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1))) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2))))), 72.07/13.82 inference('cnf', [status(esa)], [conj_thm_2Eextreal_2Ele__trans])). 72.07/13.82 thf(zip_derived_cl90, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal, X3 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)) @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X3))) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X1 @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X3))))), 72.07/13.82 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl4])). 72.07/13.82 thf(zip_derived_cl8, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ((inj__ty_2Eextreal_2Eextreal @ 72.07/13.82 (fo__c_2Eextreal_2Eextreal__max @ X0 @ X1)) 72.07/13.82 = (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)))), 72.07/13.82 inference('cnf', [status(esa)], [stp_eq_fo_c_2Eextreal_2Eextreal__max])). 72.07/13.82 thf(zip_derived_cl100, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal, X3 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)) @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X3))) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X3))))), 72.07/13.82 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl8])). 72.07/13.82 thf(conj_thm_2Eextreal_2Emax__le, conjecture, 72.07/13.82 (![V0z:tp__ty_2Eextreal_2Eextreal,V1x:tp__ty_2Eextreal_2Eextreal, 72.07/13.82 V2y:tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( ( ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V1x ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V0z ) ) ) & 72.07/13.82 ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V2y ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V0z ) ) ) ) <=> 72.07/13.82 ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__max @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V1x ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V2y ) ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V0z ) ) ) ))). 72.07/13.82 thf(zf_stmt_0, negated_conjecture, 72.07/13.82 (~( ![V0z:tp__ty_2Eextreal_2Eextreal,V1x:tp__ty_2Eextreal_2Eextreal, 72.07/13.82 V2y:tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( ( ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V1x ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V0z ) ) ) & 72.07/13.82 ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V2y ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V0z ) ) ) ) <=> 72.07/13.82 ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__max @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V1x ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V2y ) ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V0z ) ) ) ) )), 72.07/13.82 inference('cnf.neg', [status(esa)], [conj_thm_2Eextreal_2Emax__le])). 72.07/13.82 thf(zip_derived_cl18, plain, 72.07/13.82 (( (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk__1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk__2))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk_))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk__1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk_))))), 72.07/13.82 inference('cnf', [status(esa)], [zf_stmt_0])). 72.07/13.82 thf(zip_derived_cl19, plain, 72.07/13.82 (( (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk__1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk__2))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk_))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk__2)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk_))))), 72.07/13.82 inference('cnf', [status(esa)], [zf_stmt_0])). 72.07/13.82 thf(zip_derived_cl20, plain, 72.07/13.82 ((~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk__1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk__2))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk_))) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk__2)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk_))) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk__1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ sk_))))), 72.07/13.82 inference('cnf', [status(esa)], [zf_stmt_0])). 72.07/13.82 thf(conj_thm_2Eextreal_2Ele__max1, axiom, 72.07/13.82 (![V0x:tp__ty_2Eextreal_2Eextreal,V1y:tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ ( inj__ty_2Eextreal_2Eextreal @ V0x ) ) @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__max @ ( inj__ty_2Eextreal_2Eextreal @ V0x ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V1y ) ) ) ))). 72.07/13.82 thf(zip_derived_cl17, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1))))), 72.07/13.82 inference('cnf', [status(esa)], [conj_thm_2Eextreal_2Ele__max1])). 72.07/13.82 thf(zip_derived_cl100, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal, X3 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)) @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X3))) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X3))))), 72.07/13.82 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl8])). 72.07/13.82 thf(zip_derived_cl230, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2))))), 72.07/13.82 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl100])). 72.07/13.82 thf(conj_thm_2Eextreal_2Ele__max2, axiom, 72.07/13.82 (![V0x:tp__ty_2Eextreal_2Eextreal,V1y:tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 ( p @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__le @ ( inj__ty_2Eextreal_2Eextreal @ V1y ) ) @ 72.07/13.82 ( ap @ 72.07/13.82 ( ap @ 72.07/13.82 c_2Eextreal_2Eextreal__max @ ( inj__ty_2Eextreal_2Eextreal @ V0x ) ) @ 72.07/13.82 ( inj__ty_2Eextreal_2Eextreal @ V1y ) ) ) ))). 72.07/13.82 thf(zip_derived_cl3, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))))), 72.07/13.82 inference('cnf', [status(esa)], [conj_thm_2Eextreal_2Ele__max2])). 72.07/13.82 thf(zip_derived_cl100, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal, X3 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)) @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X3))) 72.07/13.82 | ~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X3))))), 72.07/13.82 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl8])). 72.07/13.82 thf(zip_derived_cl233, plain, 72.07/13.82 (![X0 : tp__ty_2Eextreal_2Eextreal, X1 : tp__ty_2Eextreal_2Eextreal, 72.07/13.82 X2 : tp__ty_2Eextreal_2Eextreal]: 72.07/13.82 (~ (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__max @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X1)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0))) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2))) 72.07/13.82 | (p @ 72.07/13.82 (ap @ 72.07/13.82 (ap @ c_2Eextreal_2Eextreal__le @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X0)) @ 72.07/13.82 (inj__ty_2Eextreal_2Eextreal @ X2))))), 72.07/13.82 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl100])). 72.07/13.82 thf(zip_derived_cl12682, plain, ($false), 72.07/13.82 inference('eprover', [status(thm)], 72.07/13.82 [zip_derived_cl8, zip_derived_cl13, zip_derived_cl16, 72.07/13.82 zip_derived_cl4532, zip_derived_cl924, zip_derived_cl141, 72.07/13.82 zip_derived_cl100, zip_derived_cl18, zip_derived_cl19, 72.07/13.82 zip_derived_cl20, zip_derived_cl230, zip_derived_cl233])). 72.07/13.82 72.07/13.82 % SZS output end Refutation 72.07/13.82 72.07/13.82 72.07/13.82 % Terminating... 72.78/13.90 % Runner terminated. 72.78/13.90 % Zipperpin 1.5 exiting 72.78/13.91 EOF