0.12/0.20 % Problem : Vampire---4.8_12036 : TPTP v0.0.0. Released v0.0.0. 0.12/0.21 % Command : run_E %s %d THM 0.20/0.42 % Computer : n015.cluster.edu 0.20/0.42 % Model : x86_64 x86_64 0.20/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.20/0.42 % Memory : 8042.1875MB 0.20/0.42 % OS : Linux 3.10.0-693.el7.x86_64 0.20/0.42 % CPULimit : 1440 0.20/0.42 % WCLimit : 180 0.20/0.42 % DateTime : Mon Jul 3 13:26:25 EDT 2023 0.20/0.42 % CPUTime : 0.39/0.65 Running higher-order theorem provingRunning: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036 0.39/0.65 # Version: 3.1pre001-ho 0.51/0.74 # Preprocessing class: HSLMSMSMLLLCHSA. 0.51/0.74 # Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.51/0.74 # Starting pre_casc_4 with 720s (4) cores 0.51/0.74 # Starting full_lambda_6 with 180s (1) cores 0.51/0.74 # Starting sh10 with 180s (1) cores 0.51/0.74 # Starting post_as_ho9 with 180s (1) cores 0.51/0.74 # Starting post_as_ho8 with 180s (1) cores 0.51/0.74 # post_as_ho9 with pid 12385 completed with status 0 0.51/0.74 # Result found by post_as_ho9 0.51/0.74 # Preprocessing class: HSLMSMSMLLLCHSA. 0.51/0.74 # Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.51/0.74 # Starting pre_casc_4 with 720s (4) cores 0.51/0.74 # Starting full_lambda_6 with 180s (1) cores 0.51/0.74 # Starting sh10 with 180s (1) cores 0.51/0.74 # Starting post_as_ho9 with 180s (1) cores 0.51/0.74 # SinE strategy is GSinE(CountFormulas,,true,1,0,2,20000,1.0,true) 0.51/0.74 # Search class: HGHNF-FFLS31-DHSMMFBN 0.51/0.74 # partial match(5): HGHSM-FSLS31-SHSMMSBN 0.51/0.74 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.51/0.74 # Starting new_ho_10 with 98s (1) cores 0.51/0.74 # new_ho_10 with pid 12394 completed with status 0 0.51/0.74 # Result found by new_ho_10 0.51/0.74 # Preprocessing class: HSLMSMSMLLLCHSA. 0.51/0.74 # Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.51/0.74 # Starting pre_casc_4 with 720s (4) cores 0.51/0.74 # Starting full_lambda_6 with 180s (1) cores 0.51/0.74 # Starting sh10 with 180s (1) cores 0.51/0.74 # Starting post_as_ho9 with 180s (1) cores 0.51/0.74 # SinE strategy is GSinE(CountFormulas,,true,1,0,2,20000,1.0,true) 0.51/0.74 # Search class: HGHNF-FFLS31-DHSMMFBN 0.51/0.74 # partial match(5): HGHSM-FSLS31-SHSMMSBN 0.51/0.74 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.51/0.74 # Starting new_ho_10 with 98s (1) cores 0.51/0.74 # Preprocessing time : 0.006 s 0.51/0.74 # Presaturation interreduction done 0.51/0.74 0.51/0.74 # Proof found! 0.51/0.74 # SZS status Theorem 0.51/0.74 # SZS output start CNFRefutation 0.51/0.74 thf(decl_22, type, is_of: $i > ($i > $o) > $o). 0.51/0.74 thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o). 0.51/0.74 thf(decl_25, type, in: $i > $i > $o). 0.51/0.74 thf(decl_29, type, power: $i > $i). 0.51/0.74 thf(decl_42, type, d_Sep: $i > ($i > $o) > $i). 0.51/0.74 thf(decl_61, type, imp: $o > $o > $o). 0.51/0.74 thf(decl_62, type, d_not: $o > $o). 0.51/0.74 thf(decl_66, type, d_and: $o > $o > $o). 0.51/0.74 thf(decl_67, type, l_or: $o > $o > $o). 0.51/0.74 thf(decl_71, type, non: $i > ($i > $o) > $i > $o). 0.51/0.74 thf(decl_72, type, l_some: $i > ($i > $o) > $o). 0.51/0.74 thf(decl_74, type, and3: $o > $o > $o > $o). 0.51/0.74 thf(decl_77, type, e_is: $i > $i > $i > $o). 0.51/0.74 thf(decl_102, type, esti: $i > $i > $i > $o). 0.51/0.74 thf(decl_111, type, anec: $i > ($i > $i > $o) > $i > $o). 0.51/0.74 thf(decl_112, type, ect: $i > ($i > $i > $o) > $i). 0.51/0.74 thf(decl_115, type, ecect: $i > ($i > $i > $o) > $i > $i). 0.51/0.74 thf(decl_123, type, nat: $i). 0.51/0.74 thf(decl_124, type, n_is: $i > $i > $o). 0.51/0.74 thf(decl_149, type, iii: $i > $i > $o). 0.51/0.74 thf(decl_162, type, n_ts: $i > $i > $i). 0.51/0.74 thf(decl_176, type, pair1type: $i > $i). 0.51/0.74 thf(decl_189, type, frac: $i). 0.51/0.74 thf(decl_191, type, num: $i > $i). 0.51/0.74 thf(decl_192, type, den: $i > $i). 0.51/0.74 thf(decl_193, type, n_eq: $i > $i > $o). 0.51/0.74 thf(decl_194, type, moref: $i > $i > $o). 0.51/0.74 thf(decl_195, type, lessf: $i > $i > $o). 0.51/0.74 thf(decl_203, type, inf: $i > $i > $o). 0.51/0.74 thf(decl_204, type, rat: $i). 0.51/0.74 thf(decl_205, type, rt_is: $i > $i > $o). 0.51/0.74 thf(decl_212, type, class: $i > $i). 0.51/0.74 thf(decl_215, type, rt_more: $i > $i > $o). 0.51/0.74 thf(decl_217, type, rt_less: $i > $i > $o). 0.51/0.74 thf(decl_219, type, rt_moreis: $i > $i > $o). 0.51/0.74 thf(decl_221, type, esk1_0: $i). 0.51/0.74 thf(decl_222, type, esk2_0: $i). 0.51/0.74 thf(decl_223, type, esk3_2: $i > $i > $i). 0.51/0.74 thf(decl_224, type, esk4_2: $i > $i > $i). 0.51/0.74 thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_all_of)). 0.51/0.74 thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_is_of)). 0.51/0.74 thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_d_not)). 0.51/0.74 thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_imp)). 0.51/0.74 thf(def_n_eq, axiom, ((n_eq)=(^[X1:$i, X218:$i]:((n_is @ (n_ts @ (num @ X1) @ (den @ X218)) @ (n_ts @ (num @ X218) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_n_eq)). 0.51/0.74 thf(def_l_some, axiom, ((l_some)=(^[X1:$i, X2:$i > $o]:((d_not @ ((all_of @ (^[X4:$i]:((in @ X4 @ X1))) @ (non @ X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_l_some)). 0.51/0.74 thf(def_ect, axiom, ((ect)=(^[X1:$i, X95:$i > $i > $o]:(d_Sep @ (power @ X1) @ (anec @ X1 @ X95)))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_ect)). 0.51/0.74 thf(def_rt_more, axiom, ((rt_more)=(^[X1:$i, X646:$i]:((l_some @ frac @ (^[X4:$i]:((l_some @ frac @ (^[X10:$i]:((and3 @ ((inf @ X4 @ (class @ X1))) @ ((inf @ X10 @ (class @ X646))) @ ((moref @ X4 @ X10)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_rt_more)). 0.51/0.74 thf(def_class, axiom, ((class)=(ecect @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_class)). 0.51/0.74 thf(def_frac, axiom, ((frac)=(pair1type @ nat)), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_frac)). 0.51/0.74 thf(def_inf, axiom, ((inf)=(esti @ (pair1type @ nat))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_inf)). 0.51/0.74 thf(def_and3, axiom, ((and3)=(^[X51:$o, X52:$o, X53:$o]:((d_and @ ((X51)) @ ((d_and @ ((X52)) @ ((X53)))))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_and3)). 0.51/0.74 thf(def_rat, axiom, ((rat)=(d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_rat)). 0.51/0.74 thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_l_or)). 0.51/0.74 thf(def_rt_less, axiom, ((rt_less)=(^[X1:$i, X648:$i]:((l_some @ frac @ (^[X4:$i]:((l_some @ frac @ (^[X10:$i]:((and3 @ ((inf @ X4 @ (class @ X1))) @ ((inf @ X10 @ (class @ X648))) @ ((lessf @ X4 @ X10)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_rt_less)). 0.51/0.74 thf(def_lessf, axiom, ((lessf)=(^[X1:$i, X220:$i]:((iii @ (n_ts @ (num @ X1) @ (den @ X220)) @ (n_ts @ (num @ X220) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_lessf)). 0.51/0.74 thf(def_rt_moreis, axiom, ((rt_moreis)=(^[X1:$i, X650:$i]:((l_or @ ((rt_more @ X1 @ X650)) @ ((rt_is @ X1 @ X650)))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_rt_moreis)). 0.51/0.74 thf(def_rt_is, axiom, ((rt_is)=(e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', def_rt_is)). 0.51/0.74 thf(satz81f, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ rat))) @ (^[X1:$i]:((all_of @ (^[X660:$i]:((in @ X660 @ rat))) @ (^[X661:$i]:(((d_not @ ((rt_less @ X1 @ X661)))=>(rt_moreis @ X1 @ X661)))))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', satz81f)). 0.51/0.74 thf(satz81j, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ rat))) @ (^[X1:$i]:((all_of @ (^[X670:$i]:((in @ X670 @ rat))) @ (^[X671:$i]:(((rt_less @ X1 @ X671)<=(d_not @ ((rt_moreis @ X1 @ X671)))))))))), file('/export/starexec/sandbox2/tmp/tmp.fy2rOwsg2n/Vampire---4.8_12036', satz81j)). 0.51/0.74 thf(c_0_20, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])). 0.51/0.74 thf(c_0_21, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])). 0.51/0.74 thf(c_0_22, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])). 0.51/0.74 thf(c_0_23, plain, ((imp)=(^[Z0/* 19 */:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])). 0.51/0.74 thf(c_0_24, plain, ((n_eq)=(^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))), inference(fof_simplification,[status(thm)],[def_n_eq])). 0.51/0.74 thf(c_0_25, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X686:$i]:(((((in @ X686 @ Z0)))=>(non @ Z0 @ Z1 @ X686))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_l_some])). 0.51/0.74 thf(c_0_26, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_20, c_0_21])). 0.51/0.74 thf(c_0_27, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_22, c_0_23])). 0.51/0.74 thf(c_0_28, plain, ((ect)=(^[Z0/* 19 */:$i, Z1:$i > $i > $o]:(d_Sep @ (power @ Z0) @ (anec @ Z0 @ Z1)))), inference(fof_simplification,[status(thm)],[def_ect])). 0.51/0.74 thf(c_0_29, plain, ((rt_more)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X688:$i]:(((((in @ X688 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z2/* 3 */:$i]:((((((![X687:$i]:(((((in @ X687 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z3/* 3 */:$i]:(((d_and @ (((esti @ (pair1type @ nat) @ Z2 @ (ecect @ (pair1type @ nat) @ (^[Z4/* 19 */:$i, Z5:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z0)))) @ ((d_and @ (((esti @ (pair1type @ nat) @ Z3 @ (ecect @ (pair1type @ nat) @ (^[Z4/* 19 */:$i, Z5:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z1)))) @ (((moref @ Z2 @ Z3))))))))) @ X687))))))=>(~($true)))))) @ X688))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_rt_more])). 0.51/0.74 thf(c_0_30, axiom, ((class)=(ecect @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_class, c_0_24]), def_frac])). 0.51/0.74 thf(c_0_31, axiom, ((inf)=(esti @ (pair1type @ nat))), inference(apply_def,[status(thm)],[def_inf, def_frac])). 0.51/0.74 thf(c_0_32, plain, ((and3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:((d_and @ ((Z0)) @ ((d_and @ ((Z1)) @ ((Z2)))))))), inference(fof_simplification,[status(thm)],[def_and3])). 0.51/0.74 thf(c_0_33, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X686:$i]:(((((in @ X686 @ Z0)))=>(non @ Z0 @ Z1 @ X686))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_25, c_0_26]), c_0_27])). 0.51/0.74 thf(c_0_34, axiom, ((rat)=(d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_rat, c_0_24]), c_0_28]), def_frac])). 0.51/0.74 thf(c_0_35, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])). 0.51/0.74 thf(c_0_36, plain, ((rt_less)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X690:$i]:(((((in @ X690 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z2/* 3 */:$i]:((((((![X689:$i]:(((((in @ X689 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z3/* 3 */:$i]:(((d_and @ (((esti @ (pair1type @ nat) @ Z2 @ (ecect @ (pair1type @ nat) @ (^[Z4/* 19 */:$i, Z5:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z0)))) @ ((d_and @ (((esti @ (pair1type @ nat) @ Z3 @ (ecect @ (pair1type @ nat) @ (^[Z4/* 19 */:$i, Z5:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z1)))) @ ((((iii @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2)))))))))))) @ X689))))))=>(~($true)))))) @ X690))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_rt_less])). 0.51/0.74 thf(c_0_37, plain, ((lessf)=(^[Z0/* 19 */:$i, Z1:$i]:((iii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))), inference(fof_simplification,[status(thm)],[def_lessf])). 0.51/0.74 thf(c_0_38, plain, ((rt_moreis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X691:$i]:(((((in @ X691 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z2/* 3 */:$i]:((((((![X692:$i]:(((((in @ X692 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z3/* 3 */:$i]:(((d_and @ (((esti @ (pair1type @ nat) @ Z2 @ (ecect @ (pair1type @ nat) @ (^[Z4/* 19 */:$i, Z5:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z0)))) @ ((d_and @ (((esti @ (pair1type @ nat) @ Z3 @ (ecect @ (pair1type @ nat) @ (^[Z4/* 19 */:$i, Z5:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z1)))) @ (((moref @ Z2 @ Z3))))))))) @ X692))))))=>(~($true)))))) @ X691))))))=>(~($true)))))))=>(~($true)))))=>((e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))))) @ Z0 @ Z1))))))), inference(fof_simplification,[status(thm)],[def_rt_moreis])). 0.51/0.74 thf(c_0_39, plain, ((rt_more)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X688:$i]:(((((in @ X688 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z2/* 3 */:$i]:((((((![X687:$i]:(((((in @ X687 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z3/* 3 */:$i]:(((d_and @ (((esti @ (pair1type @ nat) @ Z2 @ (ecect @ (pair1type @ nat) @ (^[Z4/* 19 */:$i, Z5:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z0)))) @ ((d_and @ (((esti @ (pair1type @ nat) @ Z3 @ (ecect @ (pair1type @ nat) @ (^[Z4/* 19 */:$i, Z5:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z1)))) @ (((moref @ Z2 @ Z3))))))))) @ X687))))))=>(~($true)))))) @ X688))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_29, def_frac]), c_0_30]), c_0_31]), c_0_32]), c_0_33])). 0.51/0.74 thf(c_0_40, axiom, ((rt_is)=(e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))), inference(apply_def,[status(thm)],[def_rt_is, c_0_34])). 0.51/0.74 thf(c_0_41, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_35, c_0_23]), c_0_27])). 0.51/0.74 thf(c_0_42, plain, ((rt_less)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X690:$i]:(((((in @ X690 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z2/* 3 */:$i]:((((((![X689:$i]:(((((in @ X689 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z3/* 3 */:$i]:(((d_and @ (((esti @ (pair1type @ nat) @ Z2 @ (ecect @ (pair1type @ nat) @ (^[Z4/* 19 */:$i, Z5:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z0)))) @ ((d_and @ (((esti @ (pair1type @ nat) @ Z3 @ (ecect @ (pair1type @ nat) @ (^[Z4/* 19 */:$i, Z5:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z1)))) @ ((((iii @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2)))))))))))) @ X689))))))=>(~($true)))))) @ X690))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_36, def_frac]), c_0_30]), c_0_31]), c_0_37]), c_0_32]), c_0_33])). 0.51/0.74 thf(c_0_43, plain, ((rt_moreis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X691:$i]:(((((in @ X691 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z2/* 3 */:$i]:((((((![X692:$i]:(((((in @ X692 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z3/* 3 */:$i]:(((d_and @ (((esti @ (pair1type @ nat) @ Z2 @ (ecect @ (pair1type @ nat) @ (^[Z4/* 19 */:$i, Z5:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z0)))) @ ((d_and @ (((esti @ (pair1type @ nat) @ Z3 @ (ecect @ (pair1type @ nat) @ (^[Z4/* 19 */:$i, Z5:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z1)))) @ (((moref @ Z2 @ Z3))))))))) @ X692))))))=>(~($true)))))) @ X691))))))=>(~($true)))))))=>(~($true)))))=>((e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))))) @ Z0 @ Z1))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_38, c_0_39]), c_0_40]), c_0_41])). 0.51/0.74 thf(c_0_44, plain, ![X710:$i]:(((in @ X710 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))=>![X709:$i]:(((in @ X709 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))=>(![X705:$i]:(((in @ X705 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X706:$i]:(((in @ X706 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X710))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X709))) @ ((iii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X706)))=>~($true)))) @ X705)))=>(![X707:$i]:(((in @ X707 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X708:$i]:(((in @ X708 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X710))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X709))) @ ((moref @ Z0 @ Z1))))))) @ X708)))=>~($true)))) @ X707)))=>(e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X710 @ X709))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz81f]), c_0_26]), c_0_34]), c_0_42]), c_0_43]), c_0_27])])). 0.51/0.74 thf(c_0_45, negated_conjecture, ~(![X698:$i]:(((in @ X698 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))=>![X697:$i]:(((in @ X697 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))=>(~((![X695:$i]:(((in @ X695 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X696:$i]:(((in @ X696 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X698))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X697))) @ ((moref @ Z0 @ Z1))))))) @ X696)))=>~($true)))) @ X695)))=>(e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X698 @ X697)))=>~(![X693:$i]:(((in @ X693 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X694:$i]:(((in @ X694 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X698))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X697))) @ ((iii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X694)))=>~($true)))) @ X693)))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz81j])]), c_0_26]), c_0_34]), c_0_42]), c_0_43]), c_0_27])])). 0.51/0.74 thf(c_0_46, plain, ![X797:$i, X798:$i]:(((((in @ (esk4_2 @ X797 @ X798) @ (pair1type @ nat))|(e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X797 @ X798)|(in @ (esk3_2 @ X797 @ X798) @ (pair1type @ nat))|~(in @ X798 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))|~(in @ X797 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))&(~(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X708:$i]:(((in @ X708 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X797))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X798))) @ ((moref @ Z0 @ Z1))))))) @ X708)))=>~($true)))) @ (esk4_2 @ X797 @ X798))|(e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X797 @ X798)|(in @ (esk3_2 @ X797 @ X798) @ (pair1type @ nat))|~(in @ X798 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))|~(in @ X797 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))&(((in @ (esk4_2 @ X797 @ X798) @ (pair1type @ nat))|(e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X797 @ X798)|~(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X706:$i]:(((in @ X706 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X797))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X798))) @ ((iii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X706)))=>~($true)))) @ (esk3_2 @ X797 @ X798))|~(in @ X798 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))|~(in @ X797 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))&(~(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X708:$i]:(((in @ X708 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X797))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X798))) @ ((moref @ Z0 @ Z1))))))) @ X708)))=>~($true)))) @ (esk4_2 @ X797 @ X798))|(e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X797 @ X798)|~(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X706:$i]:(((in @ X706 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X797))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X798))) @ ((iii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X706)))=>~($true)))) @ (esk3_2 @ X797 @ X798))|~(in @ X798 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))|~(in @ X797 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])])])). 0.51/0.74 thf(c_0_47, negated_conjecture, ![X791:$i, X792:$i]:(((in @ esk1_0 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))&((in @ esk2_0 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))&(((~(in @ X791 @ (pair1type @ nat))|(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X696:$i]:(((in @ X696 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk1_0))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk2_0))) @ ((moref @ Z0 @ Z1))))))) @ X696)))=>~($true)))) @ X791))&~(e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ esk1_0 @ esk2_0))&(~(in @ X792 @ (pair1type @ nat))|(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X694:$i]:(((in @ X694 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk1_0))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk2_0))) @ ((iii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X694)))=>~($true)))) @ X792)))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])])). 0.51/0.74 thf(c_0_48, plain, ![X5:$i, X4:$i]:(((e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X4 @ X5)|(in @ (esk3_2 @ X4 @ X5) @ (pair1type @ nat))|~((non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X879:$i]:(((in @ X879 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X4))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X5))) @ ((moref @ Z0 @ Z1))))))) @ X879)))=>((($true))!=(($true)))))) @ (esk4_2 @ X4 @ X5)))|~((in @ X5 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))|~((in @ X4 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))), inference(split_conjunct,[status(thm)],[c_0_46])). 0.51/0.74 thf(c_0_49, negated_conjecture, ![X1:$i]:(((non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X880:$i]:(((in @ X880 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk1_0))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk2_0))) @ ((moref @ Z0 @ Z1))))))) @ X880)))=>((($true))!=(($true)))))) @ X1)|~((in @ X1 @ (pair1type @ nat))))), inference(split_conjunct,[status(thm)],[c_0_47])). 0.51/0.74 thf(c_0_50, negated_conjecture, ~((e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_47])). 0.51/0.74 thf(c_0_51, plain, ![X4:$i, X1:$i]:(((in @ (esk4_2 @ X1 @ X4) @ (pair1type @ nat))|(e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X1 @ X4)|(in @ (esk3_2 @ X1 @ X4) @ (pair1type @ nat))|~((in @ X4 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))|~((in @ X1 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))), inference(split_conjunct,[status(thm)],[c_0_46])). 0.51/0.74 thf(c_0_52, negated_conjecture, (in @ esk2_0 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), inference(split_conjunct,[status(thm)],[c_0_47])). 0.51/0.74 thf(c_0_53, negated_conjecture, (in @ esk1_0 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), inference(split_conjunct,[status(thm)],[c_0_47])). 0.51/0.74 thf(c_0_54, plain, ![X5:$i, X4:$i]:(((e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X4 @ X5)|~((non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X881:$i]:(((in @ X881 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X4))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X5))) @ ((moref @ Z0 @ Z1))))))) @ X881)))=>((($true))!=(($true)))))) @ (esk4_2 @ X4 @ X5)))|~((non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X882:$i]:(((in @ X882 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X4))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X5))) @ ((iii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X882)))=>((($true))!=(($true)))))) @ (esk3_2 @ X4 @ X5)))|~((in @ X5 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))|~((in @ X4 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))), inference(split_conjunct,[status(thm)],[c_0_46])). 0.51/0.74 thf(c_0_55, negated_conjecture, ![X1:$i]:(((non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X883:$i]:(((in @ X883 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk1_0))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk2_0))) @ ((iii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X883)))=>((($true))!=(($true)))))) @ X1)|~((in @ X1 @ (pair1type @ nat))))), inference(split_conjunct,[status(thm)],[c_0_47])). 0.51/0.74 thf(c_0_56, plain, ![X4:$i, X1:$i]:(((e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X1 @ X4)|(in @ (esk3_2 @ X1 @ X4) @ (pair1type @ nat))|~((non @ (pair1type @ nat) @ (^[Z0/* 7 */:$i]:(~(![X884:$i]:(((in @ X884 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X1))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X4))) @ ((moref @ Z0 @ Z1))))))) @ X884)))))) @ (esk4_2 @ X1 @ X4)))|~((in @ X4 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))|~((in @ X1 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))), inference(cn,[status(thm)],[c_0_48])). 0.51/0.74 thf(c_0_57, negated_conjecture, ![X1:$i]:(((non @ (pair1type @ nat) @ (^[Z0/* 7 */:$i]:(~(![X885:$i]:(((in @ X885 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk1_0))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk2_0))) @ ((moref @ Z0 @ Z1))))))) @ X885)))))) @ X1)|~((in @ X1 @ (pair1type @ nat))))), inference(cn,[status(thm)],[c_0_49])). 0.51/0.74 thf(c_0_58, negated_conjecture, ((in @ (esk4_2 @ esk1_0 @ esk2_0) @ (pair1type @ nat))|(in @ (esk3_2 @ esk1_0 @ esk2_0) @ (pair1type @ nat))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_52]), c_0_53])])). 0.51/0.74 thf(c_0_59, plain, ![X4:$i, X1:$i]:(((e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X1 @ X4)|~((non @ (pair1type @ nat) @ (^[Z0/* 7 */:$i]:(~(![X886:$i]:(((in @ X886 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X1))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X4))) @ ((iii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X886)))))) @ (esk3_2 @ X1 @ X4)))|~((non @ (pair1type @ nat) @ (^[Z0/* 7 */:$i]:(~(![X887:$i]:(((in @ X887 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X1))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X4))) @ ((moref @ Z0 @ Z1))))))) @ X887)))))) @ (esk4_2 @ X1 @ X4)))|~((in @ X4 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))|~((in @ X1 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))), inference(cn,[status(thm)],[c_0_54])). 0.51/0.74 thf(c_0_60, negated_conjecture, ![X1:$i]:(((non @ (pair1type @ nat) @ (^[Z0/* 7 */:$i]:(~(![X888:$i]:(((in @ X888 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk1_0))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk2_0))) @ ((iii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X888)))))) @ X1)|~((in @ X1 @ (pair1type @ nat))))), inference(cn,[status(thm)],[c_0_55])). 0.51/0.74 thf(c_0_61, negated_conjecture, (in @ (esk3_2 @ esk1_0 @ esk2_0) @ (pair1type @ nat)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_52]), c_0_53])]), c_0_50]), c_0_58])). 0.51/0.74 thf(c_0_62, plain, ![X4:$i, X1:$i]:(((in @ (esk4_2 @ X1 @ X4) @ (pair1type @ nat))|(e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X1 @ X4)|~((non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X889:$i]:(((in @ X889 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X1))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X4))) @ ((iii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X889)))=>((($true))!=(($true)))))) @ (esk3_2 @ X1 @ X4)))|~((in @ X4 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))|~((in @ X1 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))), inference(split_conjunct,[status(thm)],[c_0_46])). 0.51/0.74 thf(c_0_63, negated_conjecture, ~((non @ (pair1type @ nat) @ (^[Z0/* 7 */:$i]:(~(![X890:$i]:(((in @ X890 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk1_0))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk2_0))) @ ((moref @ Z0 @ Z1))))))) @ X890)))))) @ (esk4_2 @ esk1_0 @ esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_52]), c_0_53])]), c_0_50]), c_0_61])])). 0.51/0.74 thf(c_0_64, plain, ![X4:$i, X1:$i]:(((e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X1 @ X4)|(in @ (esk4_2 @ X1 @ X4) @ (pair1type @ nat))|~((non @ (pair1type @ nat) @ (^[Z0/* 7 */:$i]:(~(![X891:$i]:(((in @ X891 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X1))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X4))) @ ((iii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X891)))))) @ (esk3_2 @ X1 @ X4)))|~((in @ X4 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))|~((in @ X1 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))), inference(cn,[status(thm)],[c_0_62])). 0.51/0.74 thf(c_0_65, negated_conjecture, ~((in @ (esk4_2 @ esk1_0 @ esk2_0) @ (pair1type @ nat))), inference(spm,[status(thm)],[c_0_63, c_0_57])). 0.51/0.74 thf(c_0_66, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_60]), c_0_52]), c_0_53])]), c_0_50]), c_0_61])]), c_0_65]), ['proof']). 0.51/0.74 # SZS output end CNFRefutation 0.51/0.74 # Parsed axioms : 699 0.51/0.74 # Removed by relevancy pruning/SinE : 645 0.51/0.74 # Initial clauses : 48 0.51/0.74 # Removed in clause preprocessing : 0 0.51/0.74 # Initial clauses in saturation : 48 0.51/0.74 # Processed clauses : 109 0.51/0.74 # ...of these trivial : 0 0.51/0.74 # ...subsumed : 2 0.51/0.74 # ...remaining for further processing : 106 0.51/0.74 # Other redundant clauses eliminated : 0 0.51/0.74 # Clauses deleted for lack of memory : 0 0.51/0.74 # Backward-subsumed : 2 0.51/0.74 # Backward-rewritten : 3 0.51/0.74 # Generated clauses : 78 0.51/0.74 # ...of the previous two non-redundant : 66 0.51/0.74 # ...aggressively subsumed : 0 0.51/0.74 # Contextual simplify-reflections : 1 0.51/0.74 # Paramodulations : 78 0.51/0.74 # Factorizations : 0 0.51/0.74 # NegExts : 0 0.51/0.74 # Equation resolutions : 0 0.51/0.74 # Total rewrite steps : 15 0.51/0.74 # Propositional unsat checks : 0 0.51/0.74 # Propositional check models : 0 0.51/0.74 # Propositional check unsatisfiable : 0 0.51/0.74 # Propositional clauses : 0 0.51/0.74 # Propositional clauses after purity: 0 0.51/0.74 # Propositional unsat core size : 0 0.51/0.74 # Propositional preprocessing time : 0.000 0.51/0.74 # Propositional encoding time : 0.000 0.51/0.74 # Propositional solver time : 0.000 0.51/0.74 # Success case prop preproc time : 0.000 0.51/0.74 # Success case prop encoding time : 0.000 0.51/0.74 # Success case prop solver time : 0.000 0.51/0.74 # Current number of processed clauses : 55 0.51/0.74 # Positive orientable unit clauses : 5 0.51/0.74 # Positive unorientable unit clauses: 0 0.51/0.74 # Negative unit clauses : 3 0.51/0.74 # Non-unit-clauses : 47 0.51/0.74 # Current number of unprocessed clauses: 51 0.51/0.74 # ...number of literals in the above : 339 0.51/0.74 # Current number of archived formulas : 0 0.51/0.74 # Current number of archived clauses : 51 0.51/0.74 # Clause-clause subsumption calls (NU) : 4137 0.51/0.74 # Rec. Clause-clause subsumption calls : 445 0.51/0.74 # Non-unit clause-clause subsumptions : 5 0.51/0.74 # Unit Clause-clause subsumption calls : 57 0.51/0.74 # Rewrite failures with RHS unbound : 0 0.51/0.74 # BW rewrite match attempts : 1 0.51/0.74 # BW rewrite match successes : 1 0.51/0.74 # Condensation attempts : 109 0.51/0.74 # Condensation successes : 0 0.51/0.74 # Termbank termtop insertions : 58903 0.51/0.74 0.51/0.74 # ------------------------------------------------- 0.51/0.74 # User time : 0.055 s 0.51/0.74 # System time : 0.006 s 0.51/0.74 # Total time : 0.061 s 0.51/0.74 # Maximum resident set size: 4540 pages 0.51/0.74 0.51/0.74 # ------------------------------------------------- 0.51/0.74 # User time : 0.077 s 0.51/0.74 # System time : 0.009 s 0.51/0.74 # Total time : 0.086 s 0.51/0.74 # Maximum resident set size: 3116 pages 0.51/0.75 % E---3.1 exiting 0.51/0.75 EOF