0.12/0.20	% Problem    : Vampire---4.8_22086 : TPTP v0.0.0. Released v0.0.0.
0.12/0.21	% Command    : run_E %s %d THM
0.20/0.40	% Computer : n021.cluster.edu
0.20/0.40	% Model    : x86_64 x86_64
0.20/0.40	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.20/0.40	% Memory   : 8042.1875MB
0.20/0.40	% OS       : Linux 3.10.0-693.el7.x86_64
0.20/0.40	% CPULimit   : 1440
0.20/0.40	% WCLimit    : 180
0.20/0.40	% DateTime   : Mon Jul  3 12:55:22 EDT 2023
0.20/0.40	% CPUTime    : 
0.46/0.63	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.kOPw6o5Djb/Vampire---4.8_22086
0.46/0.63	# Version: 3.1pre001-ho
0.48/0.69	# Preprocessing class: HSLMSMSMLLLCHSA.
0.48/0.69	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
0.48/0.69	# Starting pre_casc_4 with 720s (4) cores
0.48/0.69	# Starting full_lambda_6 with 180s (1) cores
0.48/0.69	# Starting sh10 with 180s (1) cores
0.48/0.69	# Starting post_as_ho9 with 180s (1) cores
0.48/0.69	# Starting post_as_ho8 with 180s (1) cores
0.48/0.69	# post_as_ho9 with pid 22444 completed with status 0
0.48/0.69	# Result found by post_as_ho9
0.48/0.69	# Preprocessing class: HSLMSMSMLLLCHSA.
0.48/0.69	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
0.48/0.69	# Starting pre_casc_4 with 720s (4) cores
0.48/0.69	# Starting full_lambda_6 with 180s (1) cores
0.48/0.69	# Starting sh10 with 180s (1) cores
0.48/0.69	# Starting post_as_ho9 with 180s (1) cores
0.48/0.69	# SinE strategy is GSinE(CountFormulas,,true,1,0,2,20000,1.0,true)
0.48/0.69	# Search class: HGHNF-FFLS31-DHSMMFBN
0.48/0.69	# partial match(5): HGHSM-FSLS31-SHSMMSBN
0.48/0.69	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.48/0.69	# Starting new_ho_10 with 98s (1) cores
0.48/0.69	# new_ho_10 with pid 22446 completed with status 0
0.48/0.69	# Result found by new_ho_10
0.48/0.69	# Preprocessing class: HSLMSMSMLLLCHSA.
0.48/0.69	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
0.48/0.69	# Starting pre_casc_4 with 720s (4) cores
0.48/0.69	# Starting full_lambda_6 with 180s (1) cores
0.48/0.69	# Starting sh10 with 180s (1) cores
0.48/0.69	# Starting post_as_ho9 with 180s (1) cores
0.48/0.69	# SinE strategy is GSinE(CountFormulas,,true,1,0,2,20000,1.0,true)
0.48/0.69	# Search class: HGHNF-FFLS31-DHSMMFBN
0.48/0.69	# partial match(5): HGHSM-FSLS31-SHSMMSBN
0.48/0.69	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
0.48/0.69	# Starting new_ho_10 with 98s (1) cores
0.48/0.69	# Preprocessing time       : 0.005 s
0.48/0.69	# Presaturation interreduction done
0.48/0.69	
0.48/0.69	# Proof found!
0.48/0.69	# SZS status Theorem
0.48/0.69	# SZS output start CNFRefutation
0.48/0.69	thf(decl_22, type, is_of: $i > ($i > $o) > $o).
0.48/0.69	thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o).
0.48/0.69	thf(decl_25, type, in: $i > $i > $o).
0.48/0.69	thf(decl_29, type, power: $i > $i).
0.48/0.69	thf(decl_42, type, d_Sep: $i > ($i > $o) > $i).
0.48/0.69	thf(decl_61, type, imp: $o > $o > $o).
0.48/0.69	thf(decl_62, type, d_not: $o > $o).
0.48/0.69	thf(decl_66, type, d_and: $o > $o > $o).
0.48/0.69	thf(decl_67, type, l_or: $o > $o > $o).
0.48/0.69	thf(decl_71, type, non: $i > ($i > $o) > $i > $o).
0.48/0.69	thf(decl_72, type, l_some: $i > ($i > $o) > $o).
0.48/0.69	thf(decl_74, type, and3: $o > $o > $o > $o).
0.48/0.69	thf(decl_77, type, e_is: $i > $i > $i > $o).
0.48/0.69	thf(decl_102, type, esti: $i > $i > $i > $o).
0.48/0.69	thf(decl_111, type, anec: $i > ($i > $i > $o) > $i > $o).
0.48/0.69	thf(decl_112, type, ect: $i > ($i > $i > $o) > $i).
0.48/0.69	thf(decl_115, type, ecect: $i > ($i > $i > $o) > $i > $i).
0.48/0.69	thf(decl_123, type, nat: $i).
0.48/0.69	thf(decl_124, type, n_is: $i > $i > $o).
0.48/0.69	thf(decl_148, type, d_29_ii: $i > $i > $o).
0.48/0.69	thf(decl_162, type, n_ts: $i > $i > $i).
0.48/0.69	thf(decl_176, type, pair1type: $i > $i).
0.48/0.69	thf(decl_189, type, frac: $i).
0.48/0.69	thf(decl_191, type, num: $i > $i).
0.48/0.69	thf(decl_192, type, den: $i > $i).
0.48/0.69	thf(decl_193, type, n_eq: $i > $i > $o).
0.48/0.69	thf(decl_194, type, moref: $i > $i > $o).
0.48/0.69	thf(decl_195, type, lessf: $i > $i > $o).
0.48/0.69	thf(decl_203, type, inf: $i > $i > $o).
0.48/0.69	thf(decl_204, type, rat: $i).
0.48/0.69	thf(decl_205, type, rt_is: $i > $i > $o).
0.48/0.69	thf(decl_212, type, class: $i > $i).
0.48/0.69	thf(decl_215, type, rt_more: $i > $i > $o).
0.48/0.69	thf(decl_217, type, rt_less: $i > $i > $o).
0.48/0.69	thf(decl_220, type, rt_lessis: $i > $i > $o).
0.48/0.69	thf(decl_221, type, esk1_0: $i).
0.48/0.69	thf(decl_222, type, esk2_0: $i).
0.48/0.69	thf(decl_225, type, esk5_2: $i > $i > $i).
0.48/0.69	thf(decl_226, type, esk6_2: $i > $i > $i).
0.48/0.69	thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_all_of)).
0.48/0.69	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_is_of)).
0.48/0.69	thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_d_not)).
0.48/0.69	thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_imp)).
0.48/0.69	thf(def_n_eq, axiom, ((n_eq)=(^[X1:$i, X218:$i]:((n_is @ (n_ts @ (num @ X1) @ (den @ X218)) @ (n_ts @ (num @ X218) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_n_eq)).
0.48/0.69	thf(def_ect, axiom, ((ect)=(^[X1:$i, X95:$i > $i > $o]:(d_Sep @ (power @ X1) @ (anec @ X1 @ X95)))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_ect)).
0.48/0.69	thf(def_l_some, axiom, ((l_some)=(^[X1:$i, X2:$i > $o]:((d_not @ ((all_of @ (^[X4:$i]:((in @ X4 @ X1))) @ (non @ X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_l_some)).
0.48/0.69	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.kOPw6o5Djb/Vampire---4.8_22086', def_rat)).
0.48/0.69	thf(def_frac, axiom, ((frac)=(pair1type @ nat)), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_frac)).
0.48/0.69	thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_l_or)).
0.48/0.69	thf(def_rt_less, axiom, ((rt_less)=(^[X1:$i, X648:$i]:((l_some @ frac @ (^[X4:$i]:((l_some @ frac @ (^[X10:$i]:((and3 @ ((inf @ X4 @ (class @ X1))) @ ((inf @ X10 @ (class @ X648))) @ ((lessf @ X4 @ X10)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_rt_less)).
0.48/0.69	thf(def_class, axiom, ((class)=(ecect @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_class)).
0.48/0.69	thf(def_inf, axiom, ((inf)=(esti @ (pair1type @ nat))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_inf)).
0.48/0.69	thf(def_and3, axiom, ((and3)=(^[X51:$o, X52:$o, X53:$o]:((d_and @ ((X51)) @ ((d_and @ ((X52)) @ ((X53)))))))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_and3)).
0.48/0.69	thf(def_rt_lessis, axiom, ((rt_lessis)=(^[X1:$i, X651:$i]:((l_or @ ((rt_less @ X1 @ X651)) @ ((rt_is @ X1 @ X651)))))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_rt_lessis)).
0.48/0.69	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.kOPw6o5Djb/Vampire---4.8_22086', def_rt_is)).
0.48/0.69	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.kOPw6o5Djb/Vampire---4.8_22086', def_rt_more)).
0.48/0.69	thf(def_moref, axiom, ((moref)=(^[X1:$i, X219:$i]:((d_29_ii @ (n_ts @ (num @ X1) @ (den @ X219)) @ (n_ts @ (num @ X219) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', def_moref)).
0.48/0.69	thf(satz81e, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ rat))) @ (^[X1:$i]:((all_of @ (^[X654:$i]:((in @ X654 @ rat))) @ (^[X655:$i]:(((d_not @ ((rt_more @ X1 @ X655)))=>(rt_lessis @ X1 @ X655)))))))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', satz81e)).
0.48/0.69	thf(satz81k, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ rat))) @ (^[X1:$i]:((all_of @ (^[X656:$i]:((in @ X656 @ rat))) @ (^[X657:$i]:(((d_not @ ((rt_lessis @ X1 @ X657)))=>(rt_more @ X1 @ X657)))))))), file('/export/starexec/sandbox2/tmp/tmp.kOPw6o5Djb/Vampire---4.8_22086', satz81k)).
0.48/0.69	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])).
0.48/0.69	thf(c_0_21, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.48/0.69	thf(c_0_22, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])).
0.48/0.69	thf(c_0_23, plain, ((imp)=(^[Z0/* 19 */:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])).
0.48/0.69	thf(c_0_24, plain, ((n_eq)=(^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))), inference(fof_simplification,[status(thm)],[def_n_eq])).
0.48/0.69	thf(c_0_25, plain, ((ect)=(^[Z0/* 19 */:$i, Z1:$i > $i > $o]:(d_Sep @ (power @ Z0) @ (anec @ Z0 @ Z1)))), inference(fof_simplification,[status(thm)],[def_ect])).
0.48/0.69	thf(c_0_26, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X688:$i]:(((((in @ X688 @ Z0)))=>(non @ Z0 @ Z1 @ X688))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_l_some])).
0.48/0.69	thf(c_0_27, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_20, c_0_21])).
0.48/0.69	thf(c_0_28, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_22, c_0_23])).
0.48/0.69	thf(c_0_29, 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_25]), def_frac])).
0.48/0.69	thf(c_0_30, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])).
0.48/0.69	thf(c_0_31, plain, ((rt_less)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X692:$i]:(((((in @ X692 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z2/* 3 */:$i]:((((((![X691:$i]:(((((in @ X691 @ (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:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z1)))) @ (((lessf @ Z2 @ Z3))))))))) @ X691))))))=>(~($true)))))) @ X692))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_rt_less])).
0.48/0.69	thf(c_0_32, axiom, ((class)=(ecect @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_class, c_0_24]), def_frac])).
0.48/0.69	thf(c_0_33, axiom, ((inf)=(esti @ (pair1type @ nat))), inference(apply_def,[status(thm)],[def_inf, def_frac])).
0.48/0.69	thf(c_0_34, plain, ((and3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:((d_and @ ((Z0)) @ ((d_and @ ((Z1)) @ ((Z2)))))))), inference(fof_simplification,[status(thm)],[def_and3])).
0.48/0.69	thf(c_0_35, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X688:$i]:(((((in @ X688 @ Z0)))=>(non @ Z0 @ Z1 @ X688))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_26, c_0_27]), c_0_28])).
0.48/0.69	thf(c_0_36, plain, ((rt_lessis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X693:$i]:(((((in @ X693 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z2/* 3 */:$i]:((((((![X694:$i]:(((((in @ X694 @ (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:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z1)))) @ (((lessf @ Z2 @ Z3))))))))) @ X694))))))=>(~($true)))))) @ X693))))))=>(~($true)))))))=>(~($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_lessis])).
0.48/0.69	thf(c_0_37, 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_29])).
0.48/0.70	thf(c_0_38, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_30, c_0_23]), c_0_28])).
0.48/0.70	thf(c_0_39, plain, ((rt_less)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X692:$i]:(((((in @ X692 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z2/* 3 */:$i]:((((((![X691:$i]:(((((in @ X691 @ (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:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z1)))) @ (((lessf @ Z2 @ Z3))))))))) @ X691))))))=>(~($true)))))) @ X692))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_31, def_frac]), c_0_32]), c_0_33]), c_0_34]), c_0_35])).
0.48/0.70	thf(c_0_40, plain, ((rt_more)=(^[Z0/* 19 */:$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:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z1)))) @ ((((d_29_ii @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2)))))))))))) @ X689))))))=>(~($true)))))) @ X690))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_rt_more])).
0.48/0.70	thf(c_0_41, plain, ((moref)=(^[Z0/* 19 */:$i, Z1:$i]:((d_29_ii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))), inference(fof_simplification,[status(thm)],[def_moref])).
0.48/0.70	thf(c_0_42, plain, ((rt_lessis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X693:$i]:(((((in @ X693 @ (pair1type @ nat))))=>(non @ (pair1type @ nat) @ (^[Z2/* 3 */:$i]:((((((![X694:$i]:(((((in @ X694 @ (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:$i]:((n_is @ (n_ts @ (num @ Z4) @ (den @ Z5)) @ (n_ts @ (num @ Z5) @ (den @ Z4))))) @ Z1)))) @ (((lessf @ Z2 @ Z3))))))))) @ X694))))))=>(~($true)))))) @ X693))))))=>(~($true)))))))=>(~($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_36, c_0_37]), c_0_38]), c_0_39])).
0.48/0.70	thf(c_0_43, plain, ((rt_more)=(^[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)))) @ ((((d_29_ii @ (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_40, def_frac]), c_0_32]), c_0_33]), c_0_41]), c_0_34]), c_0_35])).
0.48/0.70	thf(c_0_44, plain, ![X718:$i]:(((in @ X718 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))=>![X717:$i]:(((in @ X717 @ (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))))))))=>(![X713:$i]:(((in @ X713 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X714:$i]:(((in @ X714 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$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))))) @ X718))) @ ((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))))) @ X717))) @ ((d_29_ii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X714)))=>~($true)))) @ X713)))=>(![X715:$i]:(((in @ X715 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X716:$i]:(((in @ X716 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X718))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X717))) @ ((lessf @ Z0 @ Z1))))))) @ X716)))=>~($true)))) @ X715)))=>(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))))))) @ X718 @ X717))))))), 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)],[satz81e]), c_0_27]), c_0_29]), c_0_42]), c_0_28]), c_0_43])])).
0.48/0.70	thf(c_0_45, negated_conjecture, ~(![X700:$i]:(((in @ X700 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))=>![X699:$i]:(((in @ X699 @ (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))))) @ X700))) @ ((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))))) @ X699))) @ ((lessf @ Z0 @ Z1))))))) @ X696)))=>~($true)))) @ X695)))=>(e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X700 @ X699)))=>~(![X697:$i]:(((in @ X697 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X698:$i]:(((in @ X698 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X700))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X699))) @ ((d_29_ii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X698)))=>~($true)))) @ X697)))))))))), 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)],[satz81k])]), c_0_27]), c_0_29]), c_0_42]), c_0_28]), c_0_43])])).
0.48/0.70	thf(c_0_46, plain, ![X770:$i, X771:$i]:(((((in @ (esk6_2 @ X770 @ X771) @ (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))))))) @ X770 @ X771)|(in @ (esk5_2 @ X770 @ X771) @ (pair1type @ nat))|~(in @ X771 @ (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 @ X770 @ (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 */:$i]:((![X716:$i]:(((in @ X716 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X770))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X771))) @ ((lessf @ Z0 @ Z1))))))) @ X716)))=>~($true)))) @ (esk6_2 @ X770 @ X771))|(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))))))) @ X770 @ X771)|(in @ (esk5_2 @ X770 @ X771) @ (pair1type @ nat))|~(in @ X771 @ (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 @ X770 @ (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 @ (esk6_2 @ X770 @ X771) @ (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))))))) @ X770 @ X771)|~(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X714:$i]:(((in @ X714 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X770))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X771))) @ ((d_29_ii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X714)))=>~($true)))) @ (esk5_2 @ X770 @ X771))|~(in @ X771 @ (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 @ X770 @ (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 */:$i]:((![X716:$i]:(((in @ X716 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X770))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X771))) @ ((lessf @ Z0 @ Z1))))))) @ X716)))=>~($true)))) @ (esk6_2 @ X770 @ X771))|(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))))))) @ X770 @ X771)|~(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X714:$i]:(((in @ X714 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$i]:((d_and @ ((esti @ (pair1type @ nat) @ Z0 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X770))) @ ((d_and @ ((esti @ (pair1type @ nat) @ Z1 @ (ecect @ (pair1type @ nat) @ (^[Z2/* 19 */:$i, Z3:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X771))) @ ((d_29_ii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X714)))=>~($true)))) @ (esk5_2 @ X770 @ X771))|~(in @ X771 @ (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 @ X770 @ (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])])])])])).
0.48/0.70	thf(c_0_47, negated_conjecture, ![X760:$i, X761:$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 @ X760 @ (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:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk2_0))) @ ((lessf @ Z0 @ Z1))))))) @ X696)))=>~($true)))) @ X760))&~(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 @ X761 @ (pair1type @ nat))|(non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X698:$i]:(((in @ X698 @ (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:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk2_0))) @ ((d_29_ii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X698)))=>~($true)))) @ X761)))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])])).
0.48/0.70	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 @ (esk5_2 @ X4 @ X5) @ (pair1type @ nat))|~((non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X815:$i]:(((in @ X815 @ (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:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X5))) @ ((lessf @ Z0 @ Z1))))))) @ X815)))=>((($true))!=(($true)))))) @ (esk6_2 @ X4 @ X5)))|~((in @ X5 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$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:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))), inference(split_conjunct,[status(thm)],[c_0_46])).
0.48/0.70	thf(c_0_49, negated_conjecture, ![X1:$i]:(((non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X816:$i]:(((in @ X816 @ (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:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk2_0))) @ ((lessf @ Z0 @ Z1))))))) @ X816)))=>((($true))!=(($true)))))) @ X1)|~((in @ X1 @ (pair1type @ nat))))), inference(split_conjunct,[status(thm)],[c_0_47])).
0.48/0.70	thf(c_0_50, negated_conjecture, ~((e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_47])).
0.48/0.70	thf(c_0_51, plain, ![X4:$i, X1:$i]:(((in @ (esk6_2 @ X1 @ X4) @ (pair1type @ nat))|(e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X1 @ X4)|(in @ (esk5_2 @ X1 @ X4) @ (pair1type @ nat))|~((in @ X4 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$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:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))), inference(split_conjunct,[status(thm)],[c_0_46])).
0.48/0.70	thf(c_0_52, negated_conjecture, (in @ esk2_0 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), inference(split_conjunct,[status(thm)],[c_0_47])).
0.48/0.70	thf(c_0_53, negated_conjecture, (in @ esk1_0 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), inference(split_conjunct,[status(thm)],[c_0_47])).
0.48/0.70	thf(c_0_54, plain, ![X5:$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]:((![X817:$i]:(((in @ X817 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$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))) @ ((lessf @ Z0 @ Z1))))))) @ X817)))=>((($true))!=(($true)))))) @ (esk6_2 @ X4 @ X5)))|~((non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X818:$i]:(((in @ X818 @ (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:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X5))) @ ((d_29_ii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X818)))=>((($true))!=(($true)))))) @ (esk5_2 @ X4 @ X5)))|~((in @ X5 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$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:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))), inference(split_conjunct,[status(thm)],[c_0_46])).
0.48/0.70	thf(c_0_55, negated_conjecture, ![X1:$i]:(((non @ (pair1type @ nat) @ (^[Z0/* 10 */:$i]:((![X819:$i]:(((in @ X819 @ (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:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk2_0))) @ ((d_29_ii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X819)))=>((($true))!=(($true)))))) @ X1)|~((in @ X1 @ (pair1type @ nat))))), inference(split_conjunct,[status(thm)],[c_0_47])).
0.48/0.70	thf(c_0_56, plain, ![X4:$i, X1:$i]:(((e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X1 @ X4)|(in @ (esk5_2 @ X1 @ X4) @ (pair1type @ nat))|~((non @ (pair1type @ nat) @ (^[Z0/* 7 */:$i]:(~(![X820:$i]:(((in @ X820 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$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))) @ ((lessf @ Z0 @ Z1))))))) @ X820)))))) @ (esk6_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])).
0.48/0.70	thf(c_0_57, negated_conjecture, ![X1:$i]:(((non @ (pair1type @ nat) @ (^[Z0/* 7 */:$i]:(~(![X821:$i]:(((in @ X821 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$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))) @ ((lessf @ Z0 @ Z1))))))) @ X821)))))) @ X1)|~((in @ X1 @ (pair1type @ nat))))), inference(cn,[status(thm)],[c_0_49])).
0.48/0.70	thf(c_0_58, negated_conjecture, ((in @ (esk6_2 @ esk1_0 @ esk2_0) @ (pair1type @ nat))|(in @ (esk5_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])])).
0.48/0.70	thf(c_0_59, plain, ![X4:$i, X1:$i]:(((in @ (esk6_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 */:$i]:((![X822:$i]:(((in @ X822 @ (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:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X4))) @ ((d_29_ii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X822)))=>((($true))!=(($true)))))) @ (esk5_2 @ X1 @ X4)))|~((in @ X4 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$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:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))), inference(split_conjunct,[status(thm)],[c_0_46])).
0.48/0.70	thf(c_0_60, plain, ![X4:$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]:(~(![X823:$i]:(((in @ X823 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$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))) @ ((d_29_ii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X823)))))) @ (esk5_2 @ X1 @ X4)))|~((non @ (pair1type @ nat) @ (^[Z0/* 7 */:$i]:(~(![X824:$i]:(((in @ X824 @ (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:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ X4))) @ ((lessf @ Z0 @ Z1))))))) @ X824)))))) @ (esk6_2 @ X1 @ X4)))|~((in @ X4 @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$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:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))))), inference(cn,[status(thm)],[c_0_54])).
0.48/0.70	thf(c_0_61, negated_conjecture, ![X1:$i]:(((non @ (pair1type @ nat) @ (^[Z0/* 7 */:$i]:(~(![X825:$i]:(((in @ X825 @ (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:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk2_0))) @ ((d_29_ii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X825)))))) @ X1)|~((in @ X1 @ (pair1type @ nat))))), inference(cn,[status(thm)],[c_0_55])).
0.48/0.70	thf(c_0_62, negated_conjecture, (in @ (esk5_2 @ esk1_0 @ esk2_0) @ (pair1type @ nat)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_52]), c_0_53])]), c_0_50]), c_0_58])).
0.48/0.70	thf(c_0_63, plain, ![X4:$i, X1:$i]:(((e_is @ (d_Sep @ (power @ (pair1type @ nat)) @ (anec @ (pair1type @ nat) @ (^[Z0/* 19 */:$i, Z1:$i]:((n_is @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))) @ X1 @ X4)|(in @ (esk6_2 @ X1 @ X4) @ (pair1type @ nat))|~((non @ (pair1type @ nat) @ (^[Z0/* 7 */:$i]:(~(![X826:$i]:(((in @ X826 @ (pair1type @ nat))=>(non @ (pair1type @ nat) @ (^[Z1/* 3 */:$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))) @ ((d_29_ii @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))) @ X826)))))) @ (esk5_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_59])).
0.48/0.70	thf(c_0_64, negated_conjecture, ~((non @ (pair1type @ nat) @ (^[Z0/* 7 */:$i]:(~(![X827:$i]:(((in @ X827 @ (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:$i]:((n_is @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ (n_ts @ (num @ Z3) @ (den @ Z2))))) @ esk2_0))) @ ((lessf @ Z0 @ Z1))))))) @ X827)))))) @ (esk6_2 @ esk1_0 @ esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_52]), c_0_53]), c_0_62])]), c_0_50])).
0.48/0.70	thf(c_0_65, negated_conjecture, (in @ (esk6_2 @ esk1_0 @ esk2_0) @ (pair1type @ nat)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_61]), c_0_52]), c_0_53])]), c_0_50]), c_0_62])])).
0.48/0.70	thf(c_0_66, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_57]), c_0_65])]), ['proof']).
0.48/0.70	# SZS output end CNFRefutation
0.48/0.70	# Parsed axioms                        : 700
0.48/0.70	# Removed by relevancy pruning/SinE    : 657
0.48/0.70	# Initial clauses                      : 37
0.48/0.70	# Removed in clause preprocessing      : 0
0.48/0.70	# Initial clauses in saturation        : 37
0.48/0.70	# Processed clauses                    : 83
0.48/0.70	# ...of these trivial                  : 0
0.48/0.70	# ...subsumed                          : 3
0.48/0.70	# ...remaining for further processing  : 80
0.48/0.70	# Other redundant clauses eliminated   : 0
0.48/0.70	# Clauses deleted for lack of memory   : 0
0.48/0.70	# Backward-subsumed                    : 2
0.48/0.70	# Backward-rewritten                   : 1
0.48/0.70	# Generated clauses                    : 36
0.48/0.70	# ...of the previous two non-redundant : 30
0.48/0.70	# ...aggressively subsumed             : 0
0.48/0.70	# Contextual simplify-reflections      : 1
0.48/0.70	# Paramodulations                      : 36
0.48/0.70	# Factorizations                       : 0
0.48/0.70	# NegExts                              : 0
0.48/0.70	# Equation resolutions                 : 0
0.48/0.70	# Total rewrite steps                  : 21
0.48/0.70	# Propositional unsat checks           : 0
0.48/0.70	#    Propositional check models        : 0
0.48/0.70	#    Propositional check unsatisfiable : 0
0.48/0.70	#    Propositional clauses             : 0
0.48/0.70	#    Propositional clauses after purity: 0
0.48/0.70	#    Propositional unsat core size     : 0
0.48/0.70	#    Propositional preprocessing time  : 0.000
0.48/0.70	#    Propositional encoding time       : 0.000
0.48/0.70	#    Propositional solver time         : 0.000
0.48/0.70	#    Success case prop preproc time    : 0.000
0.48/0.70	#    Success case prop encoding time   : 0.000
0.48/0.70	#    Success case prop solver time     : 0.000
0.48/0.70	# Current number of processed clauses  : 42
0.48/0.70	#    Positive orientable unit clauses  : 6
0.48/0.70	#    Positive unorientable unit clauses: 0
0.48/0.70	#    Negative unit clauses             : 2
0.48/0.70	#    Non-unit-clauses                  : 34
0.48/0.70	# Current number of unprocessed clauses: 18
0.48/0.70	# ...number of literals in the above   : 90
0.48/0.70	# Current number of archived formulas  : 0
0.48/0.70	# Current number of archived clauses   : 38
0.48/0.70	# Clause-clause subsumption calls (NU) : 2655
0.48/0.70	# Rec. Clause-clause subsumption calls : 323
0.48/0.70	# Non-unit clause-clause subsumptions  : 6
0.48/0.70	# Unit Clause-clause subsumption calls : 18
0.48/0.70	# Rewrite failures with RHS unbound    : 0
0.48/0.70	# BW rewrite match attempts            : 1
0.48/0.70	# BW rewrite match successes           : 1
0.48/0.70	# Condensation attempts                : 83
0.48/0.70	# Condensation successes               : 0
0.48/0.70	# Termbank termtop insertions          : 51744
0.48/0.70	
0.48/0.70	# -------------------------------------------------
0.48/0.70	# User time                : 0.042 s
0.48/0.70	# System time              : 0.009 s
0.48/0.70	# Total time               : 0.051 s
0.48/0.70	# Maximum resident set size: 4116 pages
0.48/0.70	
0.48/0.70	# -------------------------------------------------
0.48/0.70	# User time                : 0.057 s
0.48/0.70	# System time              : 0.010 s
0.48/0.70	# Total time               : 0.067 s
0.48/0.70	# Maximum resident set size: 3116 pages
0.48/0.70	% E---3.1 exiting
0.48/0.70	EOF