0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : run_E %s %d THM
0.12/0.34	% Computer : n023.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 1440
0.12/0.34	% WCLimit    : 180
0.12/0.34	% DateTime   : Thu Jul  4 10:39:39 EDT 2024
0.12/0.34	% CPUTime    : 
0.21/0.48	Running higher-order theorem proving
0.38/0.57	Running: /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.uFFWyLYYqh/E---3.1_28639.p
36.58/5.24	# Version: 3.2.0-ho
36.58/5.24	# Preprocessing class: HSLMSMSMLLLCHSA.
36.58/5.24	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
36.58/5.24	# Starting pre_casc_4 with 720s (4) cores
36.58/5.24	# Starting full_lambda_6 with 180s (1) cores
36.58/5.24	# Starting sh10 with 180s (1) cores
36.58/5.24	# Starting post_as_ho9 with 180s (1) cores
36.58/5.24	# Starting post_as_ho8 with 180s (1) cores
36.58/5.24	# sh10 with pid 28720 completed with status 0
36.58/5.24	# Result found by sh10
36.58/5.24	# Preprocessing class: HSLMSMSMLLLCHSA.
36.58/5.24	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
36.58/5.24	# Starting pre_casc_4 with 720s (4) cores
36.58/5.24	# Starting full_lambda_6 with 180s (1) cores
36.58/5.24	# Starting sh10 with 180s (1) cores
36.58/5.24	# No SInE strategy applied
36.58/5.24	# Search class: HGHSM-FMLM32-MHSMMFBN
36.58/5.24	# Scheduled 5 strats onto 1 cores with 180 seconds (180 total)
36.58/5.24	# Starting sh10 with 107s (1) cores
36.58/5.24	# sh10 with pid 28731 completed with status 0
36.58/5.24	# Result found by sh10
36.58/5.24	# Preprocessing class: HSLMSMSMLLLCHSA.
36.58/5.24	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
36.58/5.24	# Starting pre_casc_4 with 720s (4) cores
36.58/5.24	# Starting full_lambda_6 with 180s (1) cores
36.58/5.24	# Starting sh10 with 180s (1) cores
36.58/5.24	# No SInE strategy applied
36.58/5.24	# Search class: HGHSM-FMLM32-MHSMMFBN
36.58/5.24	# Scheduled 5 strats onto 1 cores with 180 seconds (180 total)
36.58/5.24	# Starting sh10 with 107s (1) cores
36.58/5.24	# Preprocessing time       : 0.026 s
36.58/5.24	
36.58/5.24	# Proof found!
36.58/5.24	# SZS status Theorem
36.58/5.24	# SZS output start CNFRefutation
36.58/5.24	thf(decl_22, type, is_of: $i > ($i > $o) > $o).
36.58/5.24	thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o).
36.58/5.24	thf(decl_25, type, in: $i > $i > $o).
36.58/5.24	thf(decl_61, type, imp: $o > $o > $o).
36.58/5.24	thf(decl_62, type, d_not: $o > $o).
36.58/5.24	thf(decl_65, type, l_ec: $o > $o > $o).
36.58/5.24	thf(decl_66, type, d_and: $o > $o > $o).
36.58/5.24	thf(decl_67, type, l_or: $o > $o > $o).
36.58/5.24	thf(decl_71, type, non: $i > ($i > $o) > $i > $o).
36.58/5.24	thf(decl_72, type, l_some: $i > ($i > $o) > $o).
36.58/5.24	thf(decl_73, type, or3: $o > $o > $o > $o).
36.58/5.24	thf(decl_74, type, and3: $o > $o > $o > $o).
36.58/5.24	thf(decl_75, type, ec3: $o > $o > $o > $o).
36.58/5.24	thf(decl_76, type, orec3: $o > $o > $o > $o).
36.58/5.24	thf(decl_77, type, e_is: $i > $i > $i > $o).
36.58/5.24	thf(decl_102, type, esti: $i > $i > $i > $o).
36.58/5.24	thf(decl_123, type, nat: $i).
36.58/5.24	thf(decl_124, type, n_is: $i > $i > $o).
36.58/5.24	thf(decl_127, type, n_some: ($i > $o) > $o).
36.58/5.24	thf(decl_142, type, n_pl: $i > $i > $i).
36.58/5.24	thf(decl_147, type, diffprop: $i > $i > $i > $o).
36.58/5.24	thf(decl_148, type, d_29_ii: $i > $i > $o).
36.58/5.24	thf(decl_149, type, iii: $i > $i > $o).
36.58/5.24	thf(decl_162, type, n_ts: $i > $i > $i).
36.58/5.24	thf(decl_189, type, frac: $i).
36.58/5.24	thf(decl_191, type, num: $i > $i).
36.58/5.24	thf(decl_192, type, den: $i > $i).
36.58/5.24	thf(decl_194, type, moref: $i > $i > $o).
36.58/5.24	thf(decl_195, type, lessf: $i > $i > $o).
36.58/5.24	thf(decl_203, type, inf: $i > $i > $o).
36.58/5.24	thf(decl_204, type, rat: $i).
36.58/5.24	thf(decl_205, type, rt_is: $i > $i > $o).
36.58/5.24	thf(decl_212, type, class: $i > $i).
36.58/5.24	thf(decl_215, type, rt_more: $i > $i > $o).
36.58/5.24	thf(decl_217, type, rt_less: $i > $i > $o).
36.58/5.24	thf(decl_220, type, rt_lessis: $i > $i > $o).
36.58/5.24	thf(decl_432, type, esk208_0: $i).
36.58/5.24	thf(decl_433, type, esk209_0: $i).
36.58/5.24	thf(decl_434, type, esk210_0: $i).
36.58/5.24	thf(decl_435, type, esk211_0: $i).
36.58/5.24	thf(decl_436, type, esk212_0: $i).
36.58/5.24	thf(decl_437, type, esk213_0: $i).
36.58/5.24	thf(decl_438, type, esk214_0: $i).
36.58/5.24	thf(decl_439, type, esk215_0: $i).
36.58/5.24	thf(decl_443, type, esk219_2: $i > $i > $i).
36.58/5.24	thf(decl_444, type, esk220_2: $i > $i > $i).
36.58/5.24	thf(decl_445, type, esk221_2: $i > $i > $i).
36.58/5.24	thf(decl_446, type, esk222_2: $i > $i > $i).
36.58/5.24	thf(decl_447, type, esk223_2: $i > $i > $i).
36.58/5.24	thf(decl_448, type, esk224_2: $i > $i > $i).
36.58/5.24	thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_d_not)).
36.58/5.24	thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_imp)).
36.58/5.24	thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_all_of)).
36.58/5.24	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_is_of)).
36.58/5.24	thf(def_non, axiom, ((non)=(^[X1:$i, X2:$i > $o, X4:$i]:((d_not @ ((X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_non)).
36.58/5.24	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.uFFWyLYYqh/E---3.1_28639.p', def_l_some)).
36.58/5.24	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_e_is)).
36.58/5.24	thf(def_l_ec, axiom, ((l_ec)=(^[X38:$o, X39:$o]:((imp @ ((X38)) @ ((d_not @ ((X39)))))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_l_ec)).
36.58/5.24	thf(def_diffprop, axiom, ((diffprop)=(^[X1:$i, X183:$i, X4:$i]:((n_is @ X1 @ (n_pl @ X183 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_diffprop)).
36.58/5.24	thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_n_is)).
36.58/5.24	thf(def_d_and, axiom, ((d_and)=(^[X40:$o, X41:$o]:((d_not @ ((l_ec @ ((X40)) @ ((X41)))))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_d_and)).
36.58/5.24	thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_iii)).
36.58/5.24	thf(def_n_some, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X844:$i]:(((((in @ X844 @ nat)))=>((((((Z0 @ X844)))=>(~($true))))))))))=>(~($true))))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_n_some)).
36.58/5.24	thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_l_or)).
36.58/5.24	thf(def_and3, axiom, ((and3)=(^[X51:$o, X52:$o, X53:$o]:((d_and @ ((X51)) @ ((d_and @ ((X52)) @ ((X53)))))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_and3)).
36.58/5.24	thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_d_29_ii)).
36.58/5.24	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.uFFWyLYYqh/E---3.1_28639.p', def_lessf)).
36.58/5.24	thf(def_esti, axiom, ((esti)=(^[X1:$i]:(in))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_esti)).
36.58/5.24	thf(def_or3, axiom, ((or3)=(^[X48:$o, X49:$o, X50:$o]:((l_or @ ((X48)) @ ((l_or @ ((X49)) @ ((X50)))))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_or3)).
36.58/5.24	thf(def_ec3, axiom, ((ec3)=(^[X54:$o, X55:$o, X56:$o]:((and3 @ ((l_ec @ ((X54)) @ ((X55)))) @ ((l_ec @ ((X55)) @ ((X56)))) @ ((l_ec @ ((X56)) @ ((X54)))))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_ec3)).
36.58/5.24	thf(def_moref, axiom, ((moref)=(^[X1:$i, X219:$i]:((d_29_ii @ (n_ts @ (num @ X1) @ (den @ X219)) @ (n_ts @ (num @ X219) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_moref)).
36.58/5.24	thf(def_rt_less, axiom, ((rt_less)=(^[X1:$i, X648:$i]:((l_some @ frac @ (^[X4:$i]:((l_some @ frac @ (^[X10:$i]:((and3 @ ((inf @ X4 @ (class @ X1))) @ ((inf @ X10 @ (class @ X648))) @ ((lessf @ X4 @ X10)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_rt_less)).
36.58/5.24	thf(def_inf, axiom, ((inf)=(in)), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_inf)).
36.58/5.24	thf(def_orec3, axiom, ((orec3)=(^[X57:$o, X58:$o, X59:$o]:((d_and @ ((or3 @ ((X57)) @ ((X58)) @ ((X59)))) @ ((ec3 @ ((X57)) @ ((X58)) @ ((X59)))))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_orec3)).
36.58/5.24	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.uFFWyLYYqh/E---3.1_28639.p', def_rt_more)).
36.58/5.24	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.uFFWyLYYqh/E---3.1_28639.p', def_rt_lessis)).
36.58/5.24	thf(def_rt_is, axiom, ((rt_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', def_rt_is)).
36.58/5.24	thf(satz81, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ rat))) @ (^[X1:$i]:((all_of @ (^[X660:$i]:((in @ X660 @ rat))) @ (^[X661:$i]:((orec3 @ ((rt_is @ X1 @ X661)) @ ((rt_more @ X1 @ X661)) @ ((rt_less @ X1 @ X661))))))))), file('/export/starexec/sandbox2/tmp/tmp.uFFWyLYYqh/E---3.1_28639.p', satz81)).
36.58/5.24	thf(satz81d, conjecture, (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.uFFWyLYYqh/E---3.1_28639.p', satz81d)).
36.58/5.24	thf(c_0_29, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])).
36.58/5.24	thf(c_0_30, plain, ((imp)=(^[Z0/* 19 */:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])).
36.58/5.24	thf(c_0_31, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
36.58/5.24	thf(c_0_32, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
36.58/5.24	thf(c_0_33, plain, ((non)=(^[Z0/* 19 */:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_non])).
36.58/5.24	thf(c_0_34, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_29, c_0_30])).
36.58/5.24	thf(c_0_35, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X817:$i]:(((((in @ X817 @ Z0)))=>((((((Z1 @ X817)))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_l_some])).
36.58/5.24	thf(c_0_36, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_31, c_0_32])).
36.58/5.24	thf(c_0_37, plain, ((non)=(^[Z0/* 19 */:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_33, c_0_34])).
36.58/5.24	thf(c_0_38, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
36.58/5.24	thf(c_0_39, plain, ((l_ec)=(^[Z0/* 19 */:$o, Z1:$o]:(((((Z0))=>((((((Z1)))=>(~($true)))))))))), inference(fof_simplification,[status(thm)],[def_l_ec])).
36.58/5.24	thf(c_0_40, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X817:$i]:(((((in @ X817 @ Z0)))=>((((((Z1 @ X817)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_35, c_0_36]), c_0_34]), c_0_37])).
36.58/5.24	thf(c_0_41, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[def_diffprop])).
36.58/5.24	thf(c_0_42, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_38])).
36.58/5.24	thf(c_0_43, plain, ((d_and)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_and])).
36.58/5.24	thf(c_0_44, plain, ((l_ec)=(^[Z0/* 19 */:$o, Z1:$o]:(((((Z0))=>((((((Z1)))=>(~($true)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_39, c_0_30]), c_0_34])).
36.58/5.24	thf(c_0_45, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X856:$i]:(((((in @ X856 @ nat)))=>(((((((((Z1)=(n_pl @ Z0 @ X856))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_iii])).
36.58/5.24	thf(c_0_46, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X844:$i]:(((((in @ X844 @ nat)))=>((((((Z0 @ X844)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[def_n_some, c_0_40])).
36.58/5.24	thf(c_0_47, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_41, c_0_42])).
36.58/5.24	thf(c_0_48, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])).
36.58/5.24	thf(c_0_49, plain, ((and3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:(((((((((((Z0))))=>(((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_and3])).
36.58/5.24	thf(c_0_50, plain, ((d_and)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_43, c_0_34]), c_0_44])).
36.58/5.24	thf(c_0_51, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X855:$i]:(((((in @ X855 @ nat)))=>(((((((((Z0)=(n_pl @ Z1 @ X855))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])).
36.58/5.24	thf(c_0_52, plain, ((lessf)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X871:$i]:(((((in @ X871 @ nat)))=>(((((((((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ X871))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_lessf])).
36.58/5.24	thf(c_0_53, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X856:$i]:(((((in @ X856 @ nat)))=>(((((((((Z1)=(n_pl @ Z0 @ X856))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_45, c_0_46]), c_0_47])).
36.58/5.24	thf(c_0_54, plain, ((esti)=(^[Z0/* 25 */:$i]:(in))), inference(fof_simplification,[status(thm)],[def_esti])).
36.58/5.24	thf(c_0_55, plain, ((or3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:((((((((((Z0))))=>(~($true)))))=>((((((((((Z1))))=>(~($true)))))=>((Z2)))))))))), inference(fof_simplification,[status(thm)],[def_or3])).
36.58/5.24	thf(c_0_56, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_48, c_0_30]), c_0_34])).
36.58/5.24	thf(c_0_57, plain, ((ec3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:((((((((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))))=>((((((((((((((((((((((Z1)))=>(((((((Z2))))=>(~($true)))))))))))=>(((((((((((((Z2)))=>(((((((Z0))))=>(~($true))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_ec3])).
36.58/5.24	thf(c_0_58, plain, ((and3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:(((((((((((Z0))))=>(((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_49, c_0_50])).
36.58/5.24	thf(c_0_59, plain, ((moref)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X870:$i]:(((((in @ X870 @ nat)))=>(((((((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ X870))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_moref])).
36.58/5.24	thf(c_0_60, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X855:$i]:(((((in @ X855 @ nat)))=>(((((((((Z0)=(n_pl @ Z1 @ X855))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_51, c_0_46]), c_0_47])).
36.58/5.24	thf(c_0_61, plain, ((rt_less)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X889:$i]:(((((in @ X889 @ frac)))=>(((((((((((![X888:$i]:(((((in @ X888 @ frac)))=>(((((((((((((((((in @ X889 @ (class @ Z0))))))=>((((((((((((((((((in @ X888 @ (class @ Z1))))))=>(((((((((((((![X887:$i]:(((((in @ X887 @ nat)))=>(((((((((n_ts @ (num @ X888) @ (den @ X889))=(n_pl @ (n_ts @ (num @ X889) @ (den @ X888)) @ X887))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_rt_less])).
36.58/5.24	thf(c_0_62, plain, ((lessf)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X871:$i]:(((((in @ X871 @ nat)))=>(((((((((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ X871))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_52, c_0_53])).
36.58/5.24	thf(c_0_63, axiom, ((inf)=(in)), inference(apply_def,[status(thm)],[def_inf, c_0_54])).
36.58/5.24	thf(c_0_64, plain, ((orec3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:((((((((((((((((((((Z0)))))=>(~($true)))))=>(((((((((((Z1)))))=>(~($true)))))=>(((Z2)))))))))))=>(((((((((((((((((((((((Z0))))=>((((((((Z1)))))=>(~($true)))))))))))=>(((((((((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))))=>((((((((((((((Z2))))=>((((((((Z0)))))=>(~($true))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_orec3])).
36.58/5.24	thf(c_0_65, plain, ((or3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:((((((((((Z0))))=>(~($true)))))=>((((((((((Z1))))=>(~($true)))))=>((Z2)))))))))), inference(apply_def,[status(thm)],[c_0_55, c_0_56])).
36.58/5.24	thf(c_0_66, plain, ((ec3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:((((((((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))))=>((((((((((((((((((((((Z1)))=>(((((((Z2))))=>(~($true)))))))))))=>(((((((((((((Z2)))=>(((((((Z0))))=>(~($true))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_57, c_0_44]), c_0_58])).
36.58/5.24	thf(c_0_67, plain, ((rt_more)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X885:$i]:(((((in @ X885 @ frac)))=>(((((((((((![X884:$i]:(((((in @ X884 @ frac)))=>(((((((((((((((((in @ X885 @ (class @ Z0))))))=>((((((((((((((((((in @ X884 @ (class @ Z1))))))=>(((((((((((((![X883:$i]:(((((in @ X883 @ nat)))=>(((((((((n_ts @ (num @ X885) @ (den @ X884))=(n_pl @ (n_ts @ (num @ X884) @ (den @ X885)) @ X883))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_rt_more])).
36.58/5.24	thf(c_0_68, plain, ((moref)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X870:$i]:(((((in @ X870 @ nat)))=>(((((((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ X870))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_59, c_0_60])).
36.58/5.24	thf(c_0_69, plain, ((rt_lessis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X894:$i]:(((((in @ X894 @ frac)))=>(((((((((((![X895:$i]:(((((in @ X895 @ frac)))=>(((((((((((((((((in @ X894 @ (class @ Z0))))))=>((((((((((((((((((in @ X895 @ (class @ Z1))))))=>(((((((((((((![X896:$i]:(((((in @ X896 @ nat)))=>(((((((((n_ts @ (num @ X895) @ (den @ X894))=(n_pl @ (n_ts @ (num @ X894) @ (den @ X895)) @ X896))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[def_rt_lessis])).
36.58/5.24	thf(c_0_70, axiom, ((rt_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_rt_is, c_0_38])).
36.58/5.24	thf(c_0_71, plain, ((rt_less)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X889:$i]:(((((in @ X889 @ frac)))=>(((((((((((![X888:$i]:(((((in @ X888 @ frac)))=>(((((((((((((((((in @ X889 @ (class @ Z0))))))=>((((((((((((((((((in @ X888 @ (class @ Z1))))))=>(((((((((((((![X887:$i]:(((((in @ X887 @ nat)))=>(((((((((n_ts @ (num @ X888) @ (den @ X889))=(n_pl @ (n_ts @ (num @ X889) @ (den @ X888)) @ X887))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_61, c_0_40]), c_0_58]), c_0_62]), c_0_63])).
36.58/5.24	thf(c_0_72, plain, ((orec3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:((((((((((((((((((((Z0)))))=>(~($true)))))=>(((((((((((Z1)))))=>(~($true)))))=>(((Z2)))))))))))=>(((((((((((((((((((((((Z0))))=>((((((((Z1)))))=>(~($true)))))))))))=>(((((((((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))))=>((((((((((((((Z2))))=>((((((((Z0)))))=>(~($true))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_64, c_0_50]), c_0_65]), c_0_66])).
36.58/5.24	thf(c_0_73, plain, ((rt_more)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X885:$i]:(((((in @ X885 @ frac)))=>(((((((((((![X884:$i]:(((((in @ X884 @ frac)))=>(((((((((((((((((in @ X885 @ (class @ Z0))))))=>((((((((((((((((((in @ X884 @ (class @ Z1))))))=>(((((((((((((![X883:$i]:(((((in @ X883 @ nat)))=>(((((((((n_ts @ (num @ X885) @ (den @ X884))=(n_pl @ (n_ts @ (num @ X884) @ (den @ X885)) @ X883))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_67, c_0_40]), c_0_58]), c_0_68]), c_0_63])).
36.58/5.24	thf(c_0_74, plain, ((rt_lessis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X894:$i]:(((((in @ X894 @ frac)))=>(((((((((((![X895:$i]:(((((in @ X895 @ frac)))=>(((((((((((((((((in @ X894 @ (class @ Z0))))))=>((((((((((((((((((in @ X895 @ (class @ Z1))))))=>(((((((((((((![X896:$i]:(((((in @ X896 @ nat)))=>(((((((((n_ts @ (num @ X895) @ (den @ X894))=(n_pl @ (n_ts @ (num @ X894) @ (den @ X895)) @ X896))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_69, c_0_56]), c_0_70]), c_0_71])).
36.58/5.24	thf(c_0_75, plain, ![X2007:$i]:(((in @ X2007 @ rat)=>![X2006:$i]:(((in @ X2006 @ rat)=>((((((X2007)=(X2006))=>~($true))=>(((![X2000:$i]:(((in @ X2000 @ frac)=>((![X2001:$i]:(((in @ X2001 @ frac)=>((((in @ X2000 @ (class @ X2007))=>((((in @ X2001 @ (class @ X2006))=>((![X2002:$i]:(((in @ X2002 @ nat)=>(((n_ts @ (num @ X2000) @ (den @ X2001))=(n_pl @ (n_ts @ (num @ X2001) @ (den @ X2000)) @ X2002))=>~($true))))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true))))=>~($true))=>~($true))))=>~($true))=>~($true))=>(![X2003:$i]:(((in @ X2003 @ frac)=>((![X2004:$i]:(((in @ X2004 @ frac)=>((((in @ X2003 @ (class @ X2007))=>((((in @ X2004 @ (class @ X2006))=>((![X2005:$i]:(((in @ X2005 @ nat)=>(((n_ts @ (num @ X2004) @ (den @ X2003))=(n_pl @ (n_ts @ (num @ X2003) @ (den @ X2004)) @ X2005))=>~($true))))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true))))=>~($true))=>~($true))))=>~($true))))=>((((((X2007)=(X2006))=>((![X2000:$i]:(((in @ X2000 @ frac)=>((![X2001:$i]:(((in @ X2001 @ frac)=>((((in @ X2000 @ (class @ X2007))=>((((in @ X2001 @ (class @ X2006))=>((![X2002:$i]:(((in @ X2002 @ nat)=>(((n_ts @ (num @ X2000) @ (den @ X2001))=(n_pl @ (n_ts @ (num @ X2001) @ (den @ X2000)) @ X2002))=>~($true))))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true))))=>~($true))=>~($true))))=>~($true))=>~($true)))=>(((((![X2000:$i]:(((in @ X2000 @ frac)=>((![X2001:$i]:(((in @ X2001 @ frac)=>((((in @ X2000 @ (class @ X2007))=>((((in @ X2001 @ (class @ X2006))=>((![X2002:$i]:(((in @ X2002 @ nat)=>(((n_ts @ (num @ X2000) @ (den @ X2001))=(n_pl @ (n_ts @ (num @ X2001) @ (den @ X2000)) @ X2002))=>~($true))))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true))))=>~($true))=>~($true))))=>~($true))=>((![X2003:$i]:(((in @ X2003 @ frac)=>((![X2004:$i]:(((in @ X2004 @ frac)=>((((in @ X2003 @ (class @ X2007))=>((((in @ X2004 @ (class @ X2006))=>((![X2005:$i]:(((in @ X2005 @ nat)=>(((n_ts @ (num @ X2004) @ (den @ X2003))=(n_pl @ (n_ts @ (num @ X2003) @ (den @ X2004)) @ X2005))=>~($true))))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true))))=>~($true))=>~($true))))=>~($true))=>~($true)))=>(((![X2003:$i]:(((in @ X2003 @ frac)=>((![X2004:$i]:(((in @ X2004 @ frac)=>((((in @ X2003 @ (class @ X2007))=>((((in @ X2004 @ (class @ X2006))=>((![X2005:$i]:(((in @ X2005 @ nat)=>(((n_ts @ (num @ X2004) @ (den @ X2003))=(n_pl @ (n_ts @ (num @ X2003) @ (den @ X2004)) @ X2005))=>~($true))))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true))))=>~($true))=>~($true))))=>~($true))=>(((X2007)=(X2006))=>~($true)))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($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(fof_simplification,[status(thm)],[satz81]), c_0_36]), c_0_72]), c_0_70]), c_0_73]), c_0_71])).
36.58/5.24	thf(c_0_76, negated_conjecture, ~(![X1989:$i]:(((in @ X1989 @ rat)=>![X1988:$i]:(((in @ X1988 @ rat)=>((((![X1985:$i]:(((in @ X1985 @ frac)=>((![X1986:$i]:(((in @ X1986 @ frac)=>((((in @ X1985 @ (class @ X1989))=>((((in @ X1986 @ (class @ X1988))=>((![X1987:$i]:(((in @ X1987 @ nat)=>(((n_ts @ (num @ X1986) @ (den @ X1985))=(n_pl @ (n_ts @ (num @ X1985) @ (den @ X1986)) @ X1987))=>~($true))))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true))))=>~($true))=>~($true))))=>~($true))=>~($true))=>((X1989)=(X1988)))=>((![X1982:$i]:(((in @ X1982 @ frac)=>((![X1983:$i]:(((in @ X1983 @ frac)=>((((in @ X1982 @ (class @ X1989))=>((((in @ X1983 @ (class @ X1988))=>((![X1984:$i]:(((in @ X1984 @ nat)=>(((n_ts @ (num @ X1982) @ (den @ X1983))=(n_pl @ (n_ts @ (num @ X1983) @ (den @ X1982)) @ X1984))=>~($true))))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true))))=>~($true))=>~($true))))=>~($true))=>~($true)))))))), 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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz81d])]), c_0_36]), c_0_34]), c_0_73]), c_0_74])])).
36.58/5.24	thf(c_0_77, plain, ![X3646:$i, X3647:$i, X3654:$i, X3655:$i, X3656:$i, X3657:$i, X3658:$i, X3659:$i, X3660:$i, X3661:$i, X3662:$i, X3663:$i, X3664:$i, X3665:$i]:((((((((in @ (esk222_2 @ X3646 @ X3647) @ frac)|~($true)|((in @ (esk219_2 @ X3646 @ X3647) @ frac)|~($true))|((X3646)=(X3647))|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))&((((in @ (esk223_2 @ X3646 @ X3647) @ frac)|~($true)|~($true)|((in @ (esk219_2 @ X3646 @ X3647) @ frac)|~($true))|((X3646)=(X3647))|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))&((((in @ (esk222_2 @ X3646 @ X3647) @ (class @ X3646))|~($true)|~($true)|~($true)|((in @ (esk219_2 @ X3646 @ X3647) @ frac)|~($true))|((X3646)=(X3647))|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))&((((in @ (esk223_2 @ X3646 @ X3647) @ (class @ X3647))|~($true)|~($true)|~($true)|~($true)|((in @ (esk219_2 @ X3646 @ X3647) @ frac)|~($true))|((X3646)=(X3647))|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))&((((in @ (esk224_2 @ X3646 @ X3647) @ nat)|~($true)|~($true)|~($true)|~($true)|~($true)|((in @ (esk219_2 @ X3646 @ X3647) @ frac)|~($true))|((X3646)=(X3647))|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))&((((n_ts @ (num @ (esk223_2 @ X3646 @ X3647)) @ (den @ (esk222_2 @ X3646 @ X3647)))=(n_pl @ (n_ts @ (num @ (esk222_2 @ X3646 @ X3647)) @ (den @ (esk223_2 @ X3646 @ X3647))) @ (esk224_2 @ X3646 @ X3647)))|~($true)|~($true)|~($true)|~($true)|~($true)|((in @ (esk219_2 @ X3646 @ X3647) @ frac)|~($true))|((X3646)=(X3647))|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))&(($true)|~($true)|~($true)|~($true)|~($true)|~($true)|((in @ (esk219_2 @ X3646 @ X3647) @ frac)|~($true))|((X3646)=(X3647))|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))))&(($true)|~($true)|~($true)|~($true)|~($true)|((in @ (esk219_2 @ X3646 @ X3647) @ frac)|~($true))|((X3646)=(X3647))|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))))&(($true)|~($true)|~($true)|~($true)|((in @ (esk219_2 @ X3646 @ X3647) @ 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@ rat)))&(($true)|~($true)|~(in @ X3660 @ frac)|~($true)|(($true)|~($true)|~(in @ X3657 @ (class @ X3646))|~($true)|~(in @ X3658 @ frac)|~($true)|~(in @ X3657 @ frac))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|(($true)|~($true)|~(in @ X3657 @ (class @ X3646))|~($true)|~(in @ X3658 @ frac)|~($true)|~(in @ X3657 @ frac))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))))&((((((~(in @ X3662 @ nat)|(((n_ts @ (num @ X3661) @ (den @ X3660))!=(n_pl @ (n_ts @ (num @ X3660) @ (den @ X3661)) @ X3662))|~($true))|~($true)|~(in @ X3661 @ (class @ X3647))|~($true)|~(in @ X3660 @ (class @ X3646))|~($true)|~(in @ X3661 @ frac)|~($true)|~(in @ X3660 @ frac)|~($true)|(($true)|~($true)|~(in @ X3658 @ frac)|~($true)|~(in @ X3657 @ frac))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))&(($true)|~($true)|~(in @ X3661 @ (class @ X3647))|~($true)|~(in @ X3660 @ (class @ X3646))|~($true)|~(in @ X3661 @ frac)|~($true)|~(in @ X3660 @ frac)|~($true)|(($true)|~($true)|~(in @ X3658 @ frac)|~($true)|~(in @ X3657 @ frac))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|~(in @ X3660 @ (class @ X3646))|~($true)|~(in @ X3661 @ frac)|~($true)|~(in @ X3660 @ frac)|~($true)|(($true)|~($true)|~(in @ X3658 @ frac)|~($true)|~(in @ X3657 @ frac))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|~(in @ X3661 @ frac)|~($true)|~(in @ X3660 @ frac)|~($true)|(($true)|~($true)|~(in @ X3658 @ frac)|~($true)|~(in @ X3657 @ frac))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|~(in @ X3660 @ frac)|~($true)|(($true)|~($true)|~(in @ X3658 @ frac)|~($true)|~(in @ X3657 @ frac))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|(($true)|~($true)|~(in @ X3658 @ frac)|~($true)|~(in @ X3657 @ frac))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))))&((((((~(in @ X3662 @ nat)|(((n_ts @ (num @ X3661) @ (den @ X3660))!=(n_pl @ (n_ts @ (num @ X3660) @ (den @ X3661)) @ X3662))|~($true))|~($true)|~(in @ X3661 @ (class @ X3647))|~($true)|~(in @ X3660 @ (class @ X3646))|~($true)|~(in @ X3661 @ frac)|~($true)|~(in @ X3660 @ frac)|~($true)|(($true)|~($true)|~(in @ X3657 @ frac))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))&(($true)|~($true)|~(in @ X3661 @ (class @ X3647))|~($true)|~(in @ X3660 @ (class @ X3646))|~($true)|~(in @ X3661 @ frac)|~($true)|~(in @ X3660 @ frac)|~($true)|(($true)|~($true)|~(in @ X3657 @ frac))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|~(in @ X3660 @ (class @ X3646))|~($true)|~(in @ X3661 @ frac)|~($true)|~(in @ X3660 @ frac)|~($true)|(($true)|~($true)|~(in @ X3657 @ frac))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|~(in @ X3661 @ frac)|~($true)|~(in @ X3660 @ frac)|~($true)|(($true)|~($true)|~(in @ X3657 @ frac))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|~(in @ X3660 @ frac)|~($true)|(($true)|~($true)|~(in @ X3657 @ frac))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|(($true)|~($true)|~(in @ X3657 @ frac))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))))&((((((~(in @ X3662 @ nat)|(((n_ts @ (num @ X3661) @ (den @ X3660))!=(n_pl @ (n_ts @ (num @ X3660) @ (den @ X3661)) @ X3662))|~($true))|~($true)|~(in @ X3661 @ (class @ X3647))|~($true)|~(in @ X3660 @ (class @ X3646))|~($true)|~(in @ X3661 @ frac)|~($true)|~(in @ X3660 @ frac)|~($true)|($true)|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))&(($true)|~($true)|~(in @ X3661 @ (class @ X3647))|~($true)|~(in @ X3660 @ (class @ X3646))|~($true)|~(in @ X3661 @ frac)|~($true)|~(in @ X3660 @ frac)|~($true)|($true)|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|~(in @ X3660 @ (class @ X3646))|~($true)|~(in @ X3661 @ frac)|~($true)|~(in @ X3660 @ frac)|~($true)|($true)|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|~(in @ X3661 @ frac)|~($true)|~(in @ X3660 @ frac)|~($true)|($true)|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|~(in @ X3660 @ frac)|~($true)|($true)|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|($true)|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))))&(((((((~(in @ X3665 @ nat)|(((n_ts @ (num @ X3664) @ (den @ X3663))!=(n_pl @ (n_ts @ (num @ X3663) @ (den @ X3664)) @ X3665))|~($true))|~($true)|~(in @ X3664 @ (class @ X3647))|~($true)|~(in @ X3663 @ (class @ X3646))|~($true)|~(in @ X3664 @ frac)|~($true)|~(in @ X3663 @ frac)|(((X3646)!=(X3647))|~($true))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))&(($true)|~($true)|~(in @ X3664 @ (class @ X3647))|~($true)|~(in @ X3663 @ (class @ X3646))|~($true)|~(in @ X3664 @ frac)|~($true)|~(in @ X3663 @ frac)|(((X3646)!=(X3647))|~($true))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|~(in @ X3663 @ (class @ X3646))|~($true)|~(in @ X3664 @ frac)|~($true)|~(in @ X3663 @ frac)|(((X3646)!=(X3647))|~($true))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|~(in @ X3664 @ frac)|~($true)|~(in @ X3663 @ frac)|(((X3646)!=(X3647))|~($true))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|~(in @ X3663 @ frac)|(((X3646)!=(X3647))|~($true))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|(((X3646)!=(X3647))|~($true))|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat)))&(($true)|~($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))))&(($true)|~($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))))&(($true)|~($true)|~(in @ X3647 @ rat)|~(in @ X3646 @ rat))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])])])])])).
36.58/5.24	thf(c_0_78, negated_conjecture, ((in @ esk208_0 @ rat)&((in @ esk209_0 @ rat)&(((((in @ esk210_0 @ frac)|~($true)|((esk208_0)=(esk209_0)))&((((in @ esk211_0 @ frac)|~($true)|~($true)|((esk208_0)=(esk209_0)))&((((in @ esk210_0 @ (class @ esk208_0))|~($true)|~($true)|~($true)|((esk208_0)=(esk209_0)))&((((in @ esk211_0 @ (class @ esk209_0))|~($true)|~($true)|~($true)|~($true)|((esk208_0)=(esk209_0)))&((((in @ esk212_0 @ nat)|~($true)|~($true)|~($true)|~($true)|~($true)|((esk208_0)=(esk209_0)))&((((n_ts @ (num @ esk211_0) @ (den @ esk210_0))=(n_pl @ (n_ts @ (num @ esk210_0) @ (den @ esk211_0)) @ esk212_0))|~($true)|~($true)|~($true)|~($true)|~($true)|((esk208_0)=(esk209_0)))&(($true)|~($true)|~($true)|~($true)|~($true)|~($true)|((esk208_0)=(esk209_0)))))&(($true)|~($true)|~($true)|~($true)|~($true)|((esk208_0)=(esk209_0)))))&(($true)|~($true)|~($true)|~($true)|((esk208_0)=(esk209_0)))))&(($true)|~($true)|~($true)|((esk208_0)=(esk209_0)))))&(($true)|~($true)|((esk208_0)=(esk209_0)))))&(($true)|((esk208_0)=(esk209_0))))&((((in @ esk213_0 @ frac)|~($true))&((((in @ esk214_0 @ frac)|~($true)|~($true))&((((in @ esk213_0 @ (class @ esk208_0))|~($true)|~($true)|~($true))&((((in @ esk214_0 @ (class @ esk209_0))|~($true)|~($true)|~($true)|~($true))&((((in @ esk215_0 @ nat)|~($true)|~($true)|~($true)|~($true)|~($true))&((((n_ts @ (num @ esk213_0) @ (den @ esk214_0))=(n_pl @ (n_ts @ (num @ esk214_0) @ (den @ esk213_0)) @ esk215_0))|~($true)|~($true)|~($true)|~($true)|~($true))&(($true)|~($true)|~($true)|~($true)|~($true)|~($true))))&(($true)|~($true)|~($true)|~($true)|~($true))))&(($true)|~($true)|~($true)|~($true))))&(($true)|~($true)|~($true))))&(($true)|~($true))))&($true))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])])])])).
36.58/5.24	thf(c_0_79, plain, ![X1:$i, X4:$i, X5:$i, X6:$i, X8:$i, X12:$i, X10:$i, X7:$i]:((~((in @ X1 @ nat))|((n_ts @ (num @ X4) @ (den @ X5))!=(n_pl @ (n_ts @ (num @ X5) @ (den @ X4)) @ X1))|~(($true))|~(($true))|~((in @ X4 @ (class @ X6)))|~(($true))|~((in @ X5 @ (class @ X7)))|~(($true))|~((in @ X4 @ frac))|~(($true))|~((in @ X5 @ frac))|~(($true))|~((in @ X8 @ nat))|((n_ts @ (num @ X10) @ (den @ X12))!=(n_pl @ (n_ts @ (num @ X12) @ (den @ X10)) @ X8))|~(($true))|~(($true))|~((in @ X12 @ (class @ X6)))|~(($true))|~((in @ X10 @ (class @ X7)))|~(($true))|~((in @ X12 @ frac))|~(($true))|~((in @ X10 @ frac))|~(($true))|~(($true))|~(($true))|~((in @ X6 @ rat))|~((in @ X7 @ rat)))), inference(split_conjunct,[status(thm)],[c_0_77])).
36.58/5.24	thf(c_0_80, negated_conjecture, ((in @ esk214_0 @ frac)|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_78])).
36.58/5.24	thf(c_0_81, plain, ![X1:$i, X5:$i, X4:$i, X8:$i, X12:$i, X10:$i, X7:$i, X6:$i]:((((n_ts @ (num @ X10) @ (den @ X12))!=(n_pl @ (n_ts @ (num @ X12) @ (den @ X10)) @ X8))|((n_ts @ (num @ X4) @ (den @ X5))!=(n_pl @ (n_ts @ (num @ X5) @ (den @ X4)) @ X1))|~((in @ X12 @ frac))|~((in @ X10 @ frac))|~((in @ X8 @ nat))|~((in @ X7 @ rat))|~((in @ X6 @ rat))|~((in @ X5 @ frac))|~((in @ X4 @ frac))|~((in @ X1 @ nat))|~((in @ X12 @ (class @ X6)))|~((in @ X10 @ (class @ X7)))|~((in @ X5 @ (class @ X7)))|~((in @ X4 @ (class @ X6))))), inference(cn,[status(thm)],[c_0_79])).
36.58/5.24	thf(c_0_82, negated_conjecture, (in @ esk214_0 @ frac), inference(cn,[status(thm)],[c_0_80])).
36.58/5.24	thf(c_0_83, negated_conjecture, ((in @ esk213_0 @ frac)|~(($true))), inference(split_conjunct,[status(thm)],[c_0_78])).
36.58/5.24	thf(c_0_84, negated_conjecture, ![X1:$i, X4:$i, X5:$i, X6:$i, X10:$i, X8:$i, X7:$i]:((((n_pl @ (n_ts @ (num @ esk214_0) @ (den @ X1)) @ X4)!=(n_ts @ (num @ X1) @ (den @ esk214_0)))|((n_pl @ (n_ts @ (num @ X5) @ (den @ X6)) @ X7)!=(n_ts @ (num @ X6) @ (den @ X5)))|~((in @ esk214_0 @ (class @ X8)))|~((in @ X1 @ (class @ X10)))|~((in @ X5 @ (class @ X10)))|~((in @ X6 @ (class @ X8)))|~((in @ X1 @ frac))|~((in @ X4 @ nat))|~((in @ X10 @ rat))|~((in @ X8 @ rat))|~((in @ X5 @ frac))|~((in @ X6 @ frac))|~((in @ X7 @ nat)))), inference(spm,[status(thm)],[c_0_81, c_0_82])).
36.58/5.24	thf(c_0_85, negated_conjecture, (in @ esk213_0 @ frac), inference(cn,[status(thm)],[c_0_83])).
36.58/5.24	thf(c_0_86, negated_conjecture, ((in @ esk215_0 @ nat)|~(($true))|~(($true))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_78])).
36.58/5.24	thf(c_0_87, negated_conjecture, (((n_ts @ (num @ esk213_0) @ (den @ esk214_0))=(n_pl @ (n_ts @ (num @ esk214_0) @ (den @ esk213_0)) @ esk215_0))|~(($true))|~(($true))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_78])).
36.58/5.24	thf(c_0_88, negated_conjecture, ![X1:$i, X4:$i, X5:$i, X8:$i, X7:$i, X6:$i]:((((n_pl @ (n_ts @ (num @ esk214_0) @ (den @ esk213_0)) @ X1)!=(n_ts @ (num @ esk213_0) @ (den @ esk214_0)))|((n_pl @ (n_ts @ (num @ X4) @ (den @ X5)) @ X6)!=(n_ts @ (num @ X5) @ (den @ X4)))|~((in @ esk214_0 @ (class @ X7)))|~((in @ esk213_0 @ (class @ X8)))|~((in @ X4 @ (class @ X8)))|~((in @ X5 @ (class @ X7)))|~((in @ X1 @ nat))|~((in @ X8 @ rat))|~((in @ X7 @ rat))|~((in @ X4 @ frac))|~((in @ X5 @ frac))|~((in @ X6 @ nat)))), inference(spm,[status(thm)],[c_0_84, c_0_85])).
36.58/5.24	thf(c_0_89, negated_conjecture, (in @ esk215_0 @ nat), inference(cn,[status(thm)],[c_0_86])).
36.58/5.24	thf(c_0_90, negated_conjecture, ((n_ts @ (num @ esk213_0) @ (den @ esk214_0))=(n_pl @ (n_ts @ (num @ esk214_0) @ (den @ esk213_0)) @ esk215_0)), inference(cn,[status(thm)],[c_0_87])).
36.58/5.24	thf(c_0_91, negated_conjecture, ((in @ esk213_0 @ (class @ esk208_0))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_78])).
36.58/5.24	thf(c_0_92, plain, ![X1:$i, X4:$i, X5:$i, X6:$i, X7:$i]:((~((in @ X1 @ nat))|((n_ts @ (num @ X4) @ (den @ X5))!=(n_pl @ (n_ts @ (num @ X5) @ (den @ X4)) @ X1))|~(($true))|~(($true))|~((in @ X4 @ (class @ X6)))|~(($true))|~((in @ X5 @ (class @ X7)))|~(($true))|~((in @ X4 @ frac))|~(($true))|~((in @ X5 @ frac))|((X7)!=(X6))|~(($true))|~(($true))|~(($true))|~(($true))|~((in @ X6 @ rat))|~((in @ X7 @ rat)))), inference(split_conjunct,[status(thm)],[c_0_77])).
36.58/5.24	thf(c_0_93, negated_conjecture, ![X1:$i, X4:$i, X7:$i, X6:$i, X5:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ X5)!=(n_ts @ (num @ X4) @ (den @ X1)))|~((in @ esk214_0 @ (class @ X6)))|~((in @ esk213_0 @ (class @ X7)))|~((in @ X1 @ (class @ X7)))|~((in @ X4 @ (class @ X6)))|~((in @ X7 @ rat))|~((in @ X6 @ rat))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ nat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_90])])).
36.58/5.24	thf(c_0_94, negated_conjecture, (in @ esk208_0 @ rat), inference(split_conjunct,[status(thm)],[c_0_78])).
36.58/5.24	thf(c_0_95, negated_conjecture, (in @ esk213_0 @ (class @ esk208_0)), inference(cn,[status(thm)],[c_0_91])).
36.58/5.24	thf(c_0_96, negated_conjecture, ((in @ esk214_0 @ (class @ esk209_0))|~(($true))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_78])).
36.58/5.24	thf(c_0_97, plain, ![X1:$i, X5:$i, X4:$i, X7:$i, X6:$i]:((((X6)!=(X7))|((n_ts @ (num @ X4) @ (den @ X5))!=(n_pl @ (n_ts @ (num @ X5) @ (den @ X4)) @ X1))|~((in @ X7 @ rat))|~((in @ X6 @ rat))|~((in @ X5 @ frac))|~((in @ X4 @ frac))|~((in @ X1 @ nat))|~((in @ X5 @ (class @ X7)))|~((in @ X4 @ (class @ X6))))), inference(cn,[status(thm)],[c_0_92])).
36.58/5.24	thf(c_0_98, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ X5)!=(n_ts @ (num @ X4) @ (den @ X1)))|~((in @ esk214_0 @ (class @ X6)))|~((in @ X1 @ (class @ esk208_0)))|~((in @ X4 @ (class @ X6)))|~((in @ X6 @ rat))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ nat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_95])])).
36.58/5.24	thf(c_0_99, negated_conjecture, (in @ esk209_0 @ rat), inference(split_conjunct,[status(thm)],[c_0_78])).
36.58/5.24	thf(c_0_100, negated_conjecture, (in @ esk214_0 @ (class @ esk209_0)), inference(cn,[status(thm)],[c_0_96])).
36.58/5.24	thf(c_0_101, negated_conjecture, ((in @ esk210_0 @ frac)|((esk208_0)=(esk209_0))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_78])).
36.58/5.24	thf(c_0_102, negated_conjecture, ((in @ esk210_0 @ (class @ esk208_0))|((esk208_0)=(esk209_0))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_78])).
36.58/5.24	thf(c_0_103, plain, ![X1:$i, X4:$i, X6:$i, X5:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ X5)!=(n_ts @ (num @ X4) @ (den @ X1)))|~((in @ X1 @ (class @ X6)))|~((in @ X4 @ (class @ X6)))|~((in @ X6 @ rat))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ nat)))), inference(er,[status(thm)],[c_0_97])).
36.58/5.24	thf(c_0_104, negated_conjecture, ![X1:$i, X4:$i, X5:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ X5)!=(n_ts @ (num @ X4) @ (den @ X1)))|~((in @ X1 @ (class @ esk208_0)))|~((in @ X4 @ (class @ esk209_0)))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ nat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_99]), c_0_100])])).
36.58/5.24	thf(c_0_105, negated_conjecture, (((esk209_0)=(esk208_0))|(in @ esk210_0 @ frac)), inference(cn,[status(thm)],[c_0_101])).
36.58/5.24	thf(c_0_106, negated_conjecture, (((esk209_0)=(esk208_0))|(in @ esk210_0 @ (class @ esk208_0))), inference(cn,[status(thm)],[c_0_102])).
36.58/5.24	thf(c_0_107, negated_conjecture, ((in @ esk211_0 @ frac)|((esk208_0)=(esk209_0))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_78])).
36.58/5.24	thf(c_0_108, negated_conjecture, ((in @ esk211_0 @ (class @ esk209_0))|((esk208_0)=(esk209_0))|~(($true))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_78])).
36.58/5.24	thf(c_0_109, negated_conjecture, ![X1:$i, X4:$i, X5:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ X5)!=(n_ts @ (num @ X4) @ (den @ X1)))|~((in @ X1 @ (class @ esk209_0)))|~((in @ X4 @ (class @ esk209_0)))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ nat)))), inference(spm,[status(thm)],[c_0_103, c_0_99])).
36.58/5.24	thf(c_0_110, negated_conjecture, ![X1:$i, X4:$i]:((((esk209_0)=(esk208_0))|((n_pl @ (n_ts @ (num @ esk210_0) @ (den @ X1)) @ X4)!=(n_ts @ (num @ X1) @ (den @ esk210_0)))|~((in @ X1 @ (class @ esk209_0)))|~((in @ X1 @ frac))|~((in @ X4 @ nat)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_105]), c_0_106])).
36.58/5.24	thf(c_0_111, negated_conjecture, (((esk209_0)=(esk208_0))|(in @ esk211_0 @ frac)), inference(cn,[status(thm)],[c_0_107])).
36.58/5.24	thf(c_0_112, negated_conjecture, (((esk209_0)=(esk208_0))|(in @ esk211_0 @ (class @ esk209_0))), inference(cn,[status(thm)],[c_0_108])).
36.58/5.24	thf(c_0_113, negated_conjecture, ((in @ esk212_0 @ nat)|((esk208_0)=(esk209_0))|~(($true))|~(($true))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_78])).
36.58/5.24	thf(c_0_114, negated_conjecture, (((n_ts @ (num @ esk211_0) @ (den @ esk210_0))=(n_pl @ (n_ts @ (num @ esk210_0) @ (den @ esk211_0)) @ esk212_0))|((esk208_0)=(esk209_0))|~(($true))|~(($true))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_78])).
36.58/5.24	thf(c_0_115, negated_conjecture, ![X1:$i, X4:$i]:((((n_pl @ (n_ts @ (num @ esk214_0) @ (den @ X1)) @ X4)!=(n_ts @ (num @ X1) @ (den @ esk214_0)))|~((in @ X1 @ (class @ esk209_0)))|~((in @ X1 @ frac))|~((in @ X4 @ nat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_82]), c_0_100])])).
36.58/5.24	thf(c_0_116, negated_conjecture, ![X1:$i]:((((esk209_0)=(esk208_0))|((n_pl @ (n_ts @ (num @ esk210_0) @ (den @ esk211_0)) @ X1)!=(n_ts @ (num @ esk211_0) @ (den @ esk210_0)))|~((in @ X1 @ nat)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_111]), c_0_112])).
36.58/5.24	thf(c_0_117, negated_conjecture, (((esk209_0)=(esk208_0))|(in @ esk212_0 @ nat)), inference(cn,[status(thm)],[c_0_113])).
36.58/5.24	thf(c_0_118, negated_conjecture, (((esk209_0)=(esk208_0))|((n_ts @ (num @ esk211_0) @ (den @ esk210_0))=(n_pl @ (n_ts @ (num @ esk210_0) @ (den @ esk211_0)) @ esk212_0))), inference(cn,[status(thm)],[c_0_114])).
36.58/5.24	thf(c_0_119, negated_conjecture, ![X1:$i]:((((n_pl @ (n_ts @ (num @ esk214_0) @ (den @ esk213_0)) @ X1)!=(n_ts @ (num @ esk213_0) @ (den @ esk214_0)))|~((in @ esk213_0 @ (class @ esk209_0)))|~((in @ X1 @ nat)))), inference(spm,[status(thm)],[c_0_115, c_0_85])).
36.58/5.24	thf(c_0_120, negated_conjecture, ((esk209_0)=(esk208_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_117]), c_0_118])).
36.58/5.24	thf(c_0_121, negated_conjecture, ![X1:$i]:((((n_pl @ (n_ts @ (num @ esk214_0) @ (den @ esk213_0)) @ X1)!=(n_ts @ (num @ esk213_0) @ (den @ esk214_0)))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_95])])).
36.58/5.24	thf(c_0_122, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_89]), c_0_90])]), ['proof']).
36.58/5.24	# SZS output end CNFRefutation
36.58/5.24	# Parsed axioms                        : 694
36.58/5.24	# Removed by relevancy pruning/SinE    : 0
36.58/5.24	# Initial clauses                      : 3508
36.58/5.24	# Removed in clause preprocessing      : 2526
36.58/5.24	# Initial clauses in saturation        : 982
36.58/5.24	# Processed clauses                    : 2708
36.58/5.24	# ...of these trivial                  : 25
36.58/5.24	# ...subsumed                          : 427
36.58/5.24	# ...remaining for further processing  : 2256
36.58/5.24	# Other redundant clauses eliminated   : 130
36.58/5.24	# Clauses deleted for lack of memory   : 0
36.58/5.24	# Backward-subsumed                    : 56
36.58/5.24	# Backward-rewritten                   : 334
36.58/5.24	# Generated clauses                    : 133406
36.58/5.24	# ...of the previous two non-redundant : 132889
36.58/5.24	# ...aggressively subsumed             : 0
36.58/5.24	# Contextual simplify-reflections      : 24
36.58/5.24	# Paramodulations                      : 132993
36.58/5.24	# Factorizations                       : 2
36.58/5.24	# NegExts                              : 9
36.58/5.24	# Equation resolutions                 : 144
36.58/5.24	# Disequality decompositions           : 0
36.58/5.24	# Total rewrite steps                  : 3687
36.58/5.24	# ...of those cached                   : 3043
36.58/5.24	# Propositional unsat checks           : 0
36.58/5.24	#    Propositional check models        : 0
36.58/5.24	#    Propositional check unsatisfiable : 0
36.58/5.24	#    Propositional clauses             : 0
36.58/5.24	#    Propositional clauses after purity: 0
36.58/5.24	#    Propositional unsat core size     : 0
36.58/5.24	#    Propositional preprocessing time  : 0.000
36.58/5.24	#    Propositional encoding time       : 0.000
36.58/5.24	#    Propositional solver time         : 0.000
36.58/5.24	#    Success case prop preproc time    : 0.000
36.58/5.24	#    Success case prop encoding time   : 0.000
36.58/5.24	#    Success case prop solver time     : 0.000
36.58/5.24	# Current number of processed clauses  : 1778
36.58/5.24	#    Positive orientable unit clauses  : 265
36.58/5.24	#    Positive unorientable unit clauses: 11
36.58/5.24	#    Negative unit clauses             : 144
36.58/5.24	#    Non-unit-clauses                  : 1358
36.58/5.24	# Current number of unprocessed clauses: 130996
36.58/5.24	# ...number of literals in the above   : 916942
36.58/5.24	# Current number of archived formulas  : 0
36.58/5.24	# Current number of archived clauses   : 393
36.58/5.24	# Clause-clause subsumption calls (NU) : 860360
36.58/5.24	# Rec. Clause-clause subsumption calls : 97200
36.58/5.24	# Non-unit clause-clause subsumptions  : 342
36.58/5.24	# Unit Clause-clause subsumption calls : 124738
36.58/5.24	# Rewrite failures with RHS unbound    : 0
36.58/5.24	# BW rewrite match attempts            : 380
36.58/5.24	# BW rewrite match successes           : 53
36.58/5.24	# Condensation attempts                : 0
36.58/5.24	# Condensation successes               : 0
36.58/5.24	# Termbank termtop insertions          : 4071609
36.58/5.24	# Search garbage collected termcells   : 142949
36.58/5.24	
36.58/5.24	# -------------------------------------------------
36.58/5.24	# User time                : 4.426 s
36.58/5.24	# System time              : 0.107 s
36.58/5.24	# Total time               : 4.533 s
36.58/5.24	# Maximum resident set size: 20512 pages
36.58/5.24	
36.58/5.24	# -------------------------------------------------
36.58/5.24	# User time                : 4.436 s
36.58/5.24	# System time              : 0.114 s
36.58/5.24	# Total time               : 4.550 s
36.58/5.24	# Maximum resident set size: 3116 pages
36.58/5.24	% E---3.1 exiting
36.58/5.25	% E exiting
36.58/5.25	EOF