0.10/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.11	% Command    : run_E %s %d THM
0.10/0.32	% Computer : n010.cluster.edu
0.10/0.32	% Model    : x86_64 x86_64
0.10/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.32	% Memory   : 8042.1875MB
0.10/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.32	% CPULimit   : 1440
0.10/0.32	% WCLimit    : 180
0.10/0.32	% DateTime   : Thu Jul  4 10:00:54 EDT 2024
0.10/0.32	% CPUTime    : 
0.18/0.44	Running higher-order theorem proving
0.18/0.51	Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p
3.55/1.21	# Version: 3.2.0-ho
3.55/1.21	# Preprocessing class: HSLMSMSMLLLCHSA.
3.55/1.21	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
3.55/1.21	# Starting pre_casc_4 with 720s (4) cores
3.55/1.21	# Starting full_lambda_6 with 180s (1) cores
3.55/1.21	# Starting sh10 with 180s (1) cores
3.55/1.21	# Starting post_as_ho9 with 180s (1) cores
3.55/1.21	# Starting post_as_ho8 with 180s (1) cores
3.55/1.21	# full_lambda_6 with pid 9725 completed with status 0
3.55/1.21	# Result found by full_lambda_6
3.55/1.21	# Preprocessing class: HSLMSMSMLLLCHSA.
3.55/1.21	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
3.55/1.21	# Starting pre_casc_4 with 720s (4) cores
3.55/1.21	# Starting full_lambda_6 with 180s (1) cores
3.55/1.21	# SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
3.55/1.21	# Search class: HGHSS-FSLM32-DHSMMSBN
3.55/1.21	# partial match(2): HGHSM-FSLM32-MHSMMSBN
3.55/1.21	# Scheduled 12 strats onto 1 cores with 180 seconds (180 total)
3.55/1.21	# Starting full_lambda_5 with 15s (1) cores
3.55/1.21	# full_lambda_5 with pid 9729 completed with status 0
3.55/1.21	# Result found by full_lambda_5
3.55/1.21	# Preprocessing class: HSLMSMSMLLLCHSA.
3.55/1.21	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
3.55/1.21	# Starting pre_casc_4 with 720s (4) cores
3.55/1.21	# Starting full_lambda_6 with 180s (1) cores
3.55/1.21	# SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
3.55/1.21	# Search class: HGHSS-FSLM32-DHSMMSBN
3.55/1.21	# partial match(2): HGHSM-FSLM32-MHSMMSBN
3.55/1.21	# Scheduled 12 strats onto 1 cores with 180 seconds (180 total)
3.55/1.21	# Starting full_lambda_5 with 15s (1) cores
3.55/1.21	# Preprocessing time       : 0.018 s
3.55/1.21	# Presaturation interreduction done
3.55/1.21	
3.55/1.21	# Proof found!
3.55/1.21	# SZS status Theorem
3.55/1.21	# SZS output start CNFRefutation
3.55/1.21	thf(decl_22, type, is_of: $i > ($i > $o) > $o).
3.55/1.21	thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o).
3.55/1.21	thf(decl_25, type, in: $i > $i > $o).
3.55/1.21	thf(decl_61, type, imp: $o > $o > $o).
3.55/1.21	thf(decl_62, type, d_not: $o > $o).
3.55/1.21	thf(decl_65, type, l_ec: $o > $o > $o).
3.55/1.21	thf(decl_66, type, d_and: $o > $o > $o).
3.55/1.21	thf(decl_67, type, l_or: $o > $o > $o).
3.55/1.21	thf(decl_72, type, l_some: $i > ($i > $o) > $o).
3.55/1.21	thf(decl_73, type, or3: $o > $o > $o > $o).
3.55/1.21	thf(decl_74, type, and3: $o > $o > $o > $o).
3.55/1.21	thf(decl_75, type, ec3: $o > $o > $o > $o).
3.55/1.21	thf(decl_76, type, orec3: $o > $o > $o > $o).
3.55/1.21	thf(decl_77, type, e_is: $i > $i > $i > $o).
3.55/1.21	thf(decl_102, type, esti: $i > $i > $i > $o).
3.55/1.21	thf(decl_123, type, nat: $i).
3.55/1.21	thf(decl_124, type, n_is: $i > $i > $o).
3.55/1.21	thf(decl_127, type, n_some: ($i > $o) > $o).
3.55/1.21	thf(decl_142, type, n_pl: $i > $i > $i).
3.55/1.21	thf(decl_147, type, diffprop: $i > $i > $i > $o).
3.55/1.21	thf(decl_148, type, d_29_ii: $i > $i > $o).
3.55/1.21	thf(decl_149, type, iii: $i > $i > $o).
3.55/1.21	thf(decl_162, type, n_ts: $i > $i > $i).
3.55/1.21	thf(decl_189, type, frac: $i).
3.55/1.21	thf(decl_191, type, num: $i > $i).
3.55/1.21	thf(decl_192, type, den: $i > $i).
3.55/1.21	thf(decl_194, type, moref: $i > $i > $o).
3.55/1.21	thf(decl_195, type, lessf: $i > $i > $o).
3.55/1.21	thf(decl_203, type, inf: $i > $i > $o).
3.55/1.21	thf(decl_204, type, rat: $i).
3.55/1.21	thf(decl_205, type, rt_is: $i > $i > $o).
3.55/1.21	thf(decl_212, type, class: $i > $i).
3.55/1.21	thf(decl_215, type, rt_more: $i > $i > $o).
3.55/1.21	thf(decl_217, type, rt_less: $i > $i > $o).
3.55/1.21	thf(decl_219, type, esk1_0: $i).
3.55/1.21	thf(decl_220, type, esk2_0: $i).
3.55/1.21	thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_d_not)).
3.55/1.21	thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_imp)).
3.55/1.21	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_e_is)).
3.55/1.21	thf(def_l_ec, axiom, ((l_ec)=(^[X38:$o, X39:$o]:((imp @ ((X38)) @ ((d_not @ ((X39)))))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_l_ec)).
3.55/1.21	thf(def_diffprop, axiom, ((diffprop)=(^[X1:$i, X183:$i, X4:$i]:((n_is @ X1 @ (n_pl @ X183 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_diffprop)).
3.55/1.21	thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_n_is)).
3.55/1.21	thf(def_d_and, axiom, ((d_and)=(^[X40:$o, X41:$o]:((d_not @ ((l_ec @ ((X40)) @ ((X41)))))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_d_and)).
3.55/1.21	thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_d_29_ii)).
3.55/1.21	thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_iii)).
3.55/1.21	thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_l_or)).
3.55/1.21	thf(def_and3, axiom, ((and3)=(^[X51:$o, X52:$o, X53:$o]:((d_and @ ((X51)) @ ((d_and @ ((X52)) @ ((X53)))))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_and3)).
3.55/1.21	thf(def_esti, axiom, ((esti)=(^[X1:$i]:(in))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_esti)).
3.55/1.21	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/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_moref)).
3.55/1.21	thf(def_n_some, axiom, ((n_some)=(l_some @ nat)), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_n_some)).
3.55/1.21	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/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_lessf)).
3.55/1.21	thf(def_or3, axiom, ((or3)=(^[X48:$o, X49:$o, X50:$o]:((l_or @ ((X48)) @ ((l_or @ ((X49)) @ ((X50)))))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_or3)).
3.55/1.21	thf(def_ec3, axiom, ((ec3)=(^[X54:$o, X55:$o, X56:$o]:((and3 @ ((l_ec @ ((X54)) @ ((X55)))) @ ((l_ec @ ((X55)) @ ((X56)))) @ ((l_ec @ ((X56)) @ ((X54)))))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_ec3)).
3.55/1.21	thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_all_of)).
3.55/1.21	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_is_of)).
3.55/1.21	thf(def_rt_more, axiom, ((rt_more)=(^[X1:$i, X646:$i]:((l_some @ frac @ (^[X4:$i]:((l_some @ frac @ (^[X10:$i]:((and3 @ ((inf @ X4 @ (class @ X1))) @ ((inf @ X10 @ (class @ X646))) @ ((moref @ X4 @ X10)))))))))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_rt_more)).
3.55/1.21	thf(def_inf, axiom, ((inf)=(in)), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_inf)).
3.55/1.21	thf(def_rt_less, axiom, ((rt_less)=(^[X1:$i, X648:$i]:((l_some @ frac @ (^[X4:$i]:((l_some @ frac @ (^[X10:$i]:((and3 @ ((inf @ X4 @ (class @ X1))) @ ((inf @ X10 @ (class @ X648))) @ ((lessf @ X4 @ X10)))))))))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_rt_less)).
3.55/1.21	thf(def_orec3, axiom, ((orec3)=(^[X57:$o, X58:$o, X59:$o]:((d_and @ ((or3 @ ((X57)) @ ((X58)) @ ((X59)))) @ ((ec3 @ ((X57)) @ ((X58)) @ ((X59)))))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_orec3)).
3.55/1.21	thf(def_rt_is, axiom, ((rt_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', def_rt_is)).
3.55/1.21	thf(satz81a, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ rat))) @ (^[X1:$i]:((all_of @ (^[X656:$i]:((in @ X656 @ rat))) @ (^[X657:$i]:((or3 @ ((rt_is @ X1 @ X657)) @ ((rt_more @ X1 @ X657)) @ ((rt_less @ X1 @ X657))))))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', satz81a)).
3.55/1.21	thf(satz81, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ rat))) @ (^[X1:$i]:((all_of @ (^[X652:$i]:((in @ X652 @ rat))) @ (^[X653:$i]:((orec3 @ ((rt_is @ X1 @ X653)) @ ((rt_more @ X1 @ X653)) @ ((rt_less @ X1 @ X653))))))))), file('/export/starexec/sandbox/tmp/tmp.HY1VXWxCmo/E---3.1_9644.p', satz81)).
3.55/1.21	thf(c_0_26, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])).
3.55/1.21	thf(c_0_27, plain, ((imp)=(^[Z0/* 19 */:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])).
3.55/1.21	thf(c_0_28, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
3.55/1.21	thf(c_0_29, plain, ((l_ec)=(^[Z0/* 19 */:$o, Z1:$o]:(((((Z0))=>((((((Z1)))=>(~($true)))))))))), inference(fof_simplification,[status(thm)],[def_l_ec])).
3.55/1.21	thf(c_0_30, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_26, c_0_27])).
3.55/1.21	thf(c_0_31, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[def_diffprop])).
3.55/1.21	thf(c_0_32, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_28])).
3.55/1.21	thf(c_0_33, plain, ((d_and)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_and])).
3.55/1.21	thf(c_0_34, plain, ((l_ec)=(^[Z0/* 19 */:$o, Z1:$o]:(((((Z0))=>((((((Z1)))=>(~($true)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_29, c_0_30]), c_0_27])).
3.55/1.21	thf(c_0_35, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((l_some @ nat @ (^[Z2/* 3 */:$i]:((((Z0)=(n_pl @ Z1 @ Z2))))))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])).
3.55/1.21	thf(c_0_36, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_31, c_0_32])).
3.55/1.21	thf(c_0_37, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((l_some @ nat @ (^[Z2/* 3 */:$i]:((((Z1)=(n_pl @ Z0 @ Z2))))))))), inference(fof_simplification,[status(thm)],[def_iii])).
3.55/1.21	thf(c_0_38, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])).
3.55/1.21	thf(c_0_39, plain, ((and3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:(((((((((((Z0))))=>(((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_and3])).
3.55/1.21	thf(c_0_40, plain, ((d_and)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_33, c_0_34]), c_0_30])).
3.55/1.21	thf(c_0_41, plain, ((esti)=(^[Z0/* 25 */:$i]:(in))), inference(fof_simplification,[status(thm)],[def_esti])).
3.55/1.21	thf(c_0_42, plain, ((moref)=(^[Z0/* 19 */:$i, Z1:$i]:(((l_some @ nat @ (^[Z2/* 3 */:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))))))), inference(fof_simplification,[status(thm)],[def_moref])).
3.55/1.21	thf(c_0_43, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((l_some @ nat @ (^[Z2/* 3 */:$i]:((((Z0)=(n_pl @ Z1 @ Z2))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_35, c_0_36]), def_n_some])).
3.55/1.21	thf(c_0_44, plain, ((lessf)=(^[Z0/* 19 */:$i, Z1:$i]:(((l_some @ nat @ (^[Z2/* 3 */:$i]:((((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))))))), inference(fof_simplification,[status(thm)],[def_lessf])).
3.55/1.21	thf(c_0_45, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((l_some @ nat @ (^[Z2/* 3 */:$i]:((((Z1)=(n_pl @ Z0 @ Z2))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_37, c_0_36]), def_n_some])).
3.55/1.21	thf(c_0_46, plain, ((or3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:((((((((((Z0))))=>(~($true)))))=>((((((((((Z1))))=>(~($true)))))=>((Z2)))))))))), inference(fof_simplification,[status(thm)],[def_or3])).
3.55/1.21	thf(c_0_47, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_38, c_0_30]), c_0_27])).
3.55/1.21	thf(c_0_48, 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])).
3.55/1.21	thf(c_0_49, plain, ((and3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:(((((((((((Z0))))=>(((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_39, c_0_40])).
3.55/1.21	thf(c_0_50, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
3.55/1.21	thf(c_0_51, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
3.55/1.21	thf(c_0_52, plain, ((rt_more)=(^[Z0/* 19 */:$i, Z1:$i]:((l_some @ frac @ (^[Z2/* 3 */:$i]:((l_some @ frac @ (^[Z3/* 3 */:$i]:((((((((((((in @ Z2 @ (class @ Z0))))))=>((((((((((((((((((in @ Z3 @ (class @ Z1))))))=>((((((((((l_some @ nat @ (^[Z4/* 3 */:$i]:((((n_ts @ (num @ Z2) @ (den @ Z3))=(n_pl @ (n_ts @ (num @ Z3) @ (den @ Z2)) @ Z4))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))))))), inference(fof_simplification,[status(thm)],[def_rt_more])).
3.55/1.21	thf(c_0_53, axiom, ((inf)=(in)), inference(apply_def,[status(thm)],[def_inf, c_0_41])).
3.55/1.21	thf(c_0_54, plain, ((moref)=(^[Z0/* 19 */:$i, Z1:$i]:(((l_some @ nat @ (^[Z2/* 3 */:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))))))), inference(apply_def,[status(thm)],[c_0_42, c_0_43])).
3.55/1.21	thf(c_0_55, plain, ((rt_less)=(^[Z0/* 19 */:$i, Z1:$i]:((l_some @ frac @ (^[Z2/* 3 */:$i]:((l_some @ frac @ (^[Z3/* 3 */:$i]:((((((((((((in @ Z2 @ (class @ Z0))))))=>((((((((((((((((((in @ Z3 @ (class @ Z1))))))=>((((((((((l_some @ nat @ (^[Z4/* 3 */:$i]:((((n_ts @ (num @ Z3) @ (den @ Z2))=(n_pl @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ Z4))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))))))), inference(fof_simplification,[status(thm)],[def_rt_less])).
3.55/1.21	thf(c_0_56, plain, ((lessf)=(^[Z0/* 19 */:$i, Z1:$i]:(((l_some @ nat @ (^[Z2/* 3 */:$i]:((((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))))))), inference(apply_def,[status(thm)],[c_0_44, c_0_45])).
3.55/1.21	thf(c_0_57, plain, ((orec3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:((((((((((((((((((((Z0)))))=>(~($true)))))=>(((((((((((Z1)))))=>(~($true)))))=>(((Z2)))))))))))=>(((((((((((((((((((((((Z0))))=>((((((((Z1)))))=>(~($true)))))))))))=>(((((((((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))))=>((((((((((((((Z2))))=>((((((((Z0)))))=>(~($true))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_orec3])).
3.55/1.21	thf(c_0_58, plain, ((or3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:((((((((((Z0))))=>(~($true)))))=>((((((((((Z1))))=>(~($true)))))=>((Z2)))))))))), inference(apply_def,[status(thm)],[c_0_46, c_0_47])).
3.55/1.21	thf(c_0_59, 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_48, c_0_34]), c_0_49])).
3.55/1.21	thf(c_0_60, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_50, c_0_51])).
3.55/1.21	thf(c_0_61, axiom, ((rt_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_rt_is, c_0_28])).
3.55/1.21	thf(c_0_62, plain, ((rt_more)=(^[Z0/* 19 */:$i, Z1:$i]:((l_some @ frac @ (^[Z2/* 3 */:$i]:((l_some @ frac @ (^[Z3/* 3 */:$i]:((((((((((((in @ Z2 @ (class @ Z0))))))=>((((((((((((((((((in @ Z3 @ (class @ Z1))))))=>((((((((((l_some @ nat @ (^[Z4/* 3 */:$i]:((((n_ts @ (num @ Z2) @ (den @ Z3))=(n_pl @ (n_ts @ (num @ Z3) @ (den @ Z2)) @ Z4))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_52, c_0_53]), c_0_54]), c_0_49])).
3.55/1.21	thf(c_0_63, plain, ((rt_less)=(^[Z0/* 19 */:$i, Z1:$i]:((l_some @ frac @ (^[Z2/* 3 */:$i]:((l_some @ frac @ (^[Z3/* 3 */:$i]:((((((((((((in @ Z2 @ (class @ Z0))))))=>((((((((((((((((((in @ Z3 @ (class @ Z1))))))=>((((((((((l_some @ nat @ (^[Z4/* 3 */:$i]:((((n_ts @ (num @ Z3) @ (den @ Z2))=(n_pl @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ Z4))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_55, c_0_53]), c_0_56]), c_0_49])).
3.55/1.21	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(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_57, c_0_58]), c_0_59]), c_0_40])).
3.55/1.21	thf(c_0_65, negated_conjecture, ~(![X779:$i]:(((in @ X779 @ rat)=>![X778:$i]:(((in @ X778 @ rat)=>((((X779)=(X778))=>~($true))=>(((l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X779))=>((((in @ Z1 @ (class @ X778))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))=>~($true))=>(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X779))=>((((in @ Z1 @ (class @ X778))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($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)],[inference(assume_negation,[status(cth)],[satz81a])]), c_0_58]), c_0_60]), c_0_61]), c_0_62]), c_0_63])).
3.55/1.21	thf(c_0_66, plain, ![X787:$i]:(((in @ X787 @ rat)=>![X786:$i]:(((in @ X786 @ rat)=>((((((X787)=(X786))=>~($true))=>(((l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X787))=>((((in @ Z1 @ (class @ X786))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))=>~($true))=>(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X787))=>((((in @ Z1 @ (class @ X786))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))))=>((((((X787)=(X786))=>((l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X787))=>((((in @ Z1 @ (class @ X786))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))=>~($true)))=>(((((l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X787))=>((((in @ Z1 @ (class @ X786))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))=>((l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X787))=>((((in @ Z1 @ (class @ X786))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))=>~($true)))=>(((l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X787))=>((((in @ Z1 @ (class @ X786))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))=>(((X787)=(X786))=>~($true)))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($true)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz81]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64])).
3.55/1.21	thf(c_0_67, negated_conjecture, ((in @ esk1_0 @ rat)&((in @ esk2_0 @ rat)&((((esk1_0)!=(esk2_0))|~($true))&((~(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ esk1_0))=>((((in @ Z1 @ (class @ esk2_0))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))|~($true))&~(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ esk1_0))=>((((in @ Z1 @ (class @ esk2_0))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true)))))))))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])])).
3.55/1.21	thf(c_0_68, plain, ![X1459:$i, X1460:$i]:((((((l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X1459))=>((((in @ Z1 @ (class @ X1460))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))|(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X1459))=>((((in @ Z1 @ (class @ X1460))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))|((X1459)=(X1460))|~($true)|~(in @ X1460 @ rat)|~(in @ X1459 @ rat))&(($true)|(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X1459))=>((((in @ Z1 @ (class @ X1460))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))|((X1459)=(X1460))|~($true)|~(in @ X1460 @ rat)|~(in @ X1459 @ rat)))&(((l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X1459))=>((((in @ Z1 @ (class @ X1460))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))|(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X1459))=>((((in @ Z1 @ (class @ X1460))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))|($true)|~($true)|~(in @ X1460 @ rat)|~(in @ X1459 @ rat))&(($true)|(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X1459))=>((((in @ Z1 @ (class @ X1460))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))|($true)|~($true)|~(in @ X1460 @ rat)|~(in @ X1459 @ rat))))&(((((X1459)!=(X1460))|(~(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X1459))=>((((in @ Z1 @ (class @ X1460))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))|~($true))|~($true)|~($true)|~(in @ X1460 @ rat)|~(in @ X1459 @ rat))&(((~(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X1459))=>((((in @ Z1 @ (class @ X1460))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))|(~(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X1459))=>((((in @ Z1 @ (class @ X1460))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))|~($true))|~($true)|~($true)|~($true)|~(in @ X1460 @ rat)|~(in @ X1459 @ rat))&((~(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X1459))=>((((in @ Z1 @ (class @ X1460))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))|(((X1459)!=(X1460))|~($true))|~($true)|~($true)|~($true)|~(in @ X1460 @ rat)|~(in @ X1459 @ rat))&(($true)|~($true)|~($true)|~($true)|~(in @ X1460 @ rat)|~(in @ X1459 @ rat))))&(($true)|~($true)|~($true)|~(in @ X1460 @ rat)|~(in @ X1459 @ rat))))&(($true)|~($true)|~(in @ X1460 @ rat)|~(in @ X1459 @ rat))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])])])).
3.55/1.21	thf(c_0_69, negated_conjecture, (~((l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ esk1_0))=>((((in @ Z1 @ (class @ esk2_0))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~(($true))))=>~(($true)))=>~(($true))))=>~(($true))))))))))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_67])).
3.55/1.21	thf(c_0_70, plain, ![X4:$i, X1:$i]:(((l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X1))=>((((in @ Z1 @ (class @ X4))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~(($true))))=>~(($true)))=>~(($true))))=>~(($true)))))))))|(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X1))=>((((in @ Z1 @ (class @ X4))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~(($true))))=>~(($true)))=>~(($true))))=>~(($true)))))))))|((X1)=(X4))|~(($true))|~((in @ X4 @ rat))|~((in @ X1 @ rat)))), inference(split_conjunct,[status(thm)],[c_0_68])).
3.55/1.21	thf(c_0_71, negated_conjecture, ~((l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ esk1_0))=>((((in @ Z1 @ (class @ esk2_0))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~(($true))))=>~(($true)))=>~(($true))))=>~(($true)))))))))), inference(cn,[status(thm)],[c_0_69])).
3.55/1.21	thf(c_0_72, plain, ![X4:$i, X1:$i]:((((X1)=(X4))|(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X1))=>((((in @ Z1 @ (class @ X4))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~(($true))))=>~(($true)))=>~(($true))))=>~(($true)))))))))|(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ X1))=>((((in @ Z1 @ (class @ X4))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~(($true))))=>~(($true)))=>~(($true))))=>~(($true)))))))))|~((in @ X4 @ rat))|~((in @ X1 @ rat)))), inference(cn,[status(thm)],[c_0_70])).
3.55/1.21	thf(c_0_73, negated_conjecture, (((esk1_0)!=(esk2_0))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_67])).
3.55/1.21	thf(c_0_74, negated_conjecture, ~((l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 10 */:$i]:((((in @ Z0 @ (class @ esk1_0))=>((((in @ Z1 @ (class @ esk2_0))=>((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~(($true))))=>~(($true)))=>~(($true))))=>~(($true)))))))))), inference(split_conjunct,[status(thm)],[c_0_67])).
3.55/1.21	thf(c_0_75, negated_conjecture, ~((l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 7 */:$i]:(~(((in @ Z0 @ (class @ esk1_0))=>((in @ Z1 @ (class @ esk2_0))=>~((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))))))))))))), inference(cn,[status(thm)],[c_0_71])).
3.55/1.21	thf(c_0_76, plain, ![X4:$i, X1:$i]:((((X1)=(X4))|(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 7 */:$i]:(~(((in @ Z0 @ (class @ X1))=>((in @ Z1 @ (class @ X4))=>~((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))))))))))))|(l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 7 */:$i]:(~(((in @ Z0 @ (class @ X1))=>((in @ Z1 @ (class @ X4))=>~((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))))))))))))|~((in @ X4 @ rat))|~((in @ X1 @ rat)))), inference(cn,[status(thm)],[c_0_72])).
3.55/1.21	thf(c_0_77, negated_conjecture, (in @ esk2_0 @ rat), inference(split_conjunct,[status(thm)],[c_0_67])).
3.55/1.21	thf(c_0_78, negated_conjecture, (in @ esk1_0 @ rat), inference(split_conjunct,[status(thm)],[c_0_67])).
3.55/1.21	thf(c_0_79, negated_conjecture, ((esk2_0)!=(esk1_0)), inference(cn,[status(thm)],[c_0_73])).
3.55/1.21	thf(c_0_80, negated_conjecture, ~((l_some @ frac @ (^[Z0/* 3 */:$i]:((l_some @ frac @ (^[Z1/* 7 */:$i]:(~(((in @ Z0 @ (class @ esk1_0))=>((in @ Z1 @ (class @ esk2_0))=>~((l_some @ nat @ (^[Z2/* 3 */:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))))))))))))), inference(cn,[status(thm)],[c_0_74])).
3.55/1.21	thf(c_0_81, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_77]), c_0_78])]), c_0_79]), c_0_80]), ['proof']).
3.55/1.21	# SZS output end CNFRefutation
3.55/1.21	# Parsed axioms                        : 685
3.55/1.21	# Removed by relevancy pruning/SinE    : 342
3.55/1.21	# Initial clauses                      : 622
3.55/1.21	# Removed in clause preprocessing      : 210
3.55/1.21	# Initial clauses in saturation        : 412
3.55/1.21	# Processed clauses                    : 833
3.55/1.21	# ...of these trivial                  : 0
3.55/1.21	# ...subsumed                          : 290
3.55/1.21	# ...remaining for further processing  : 543
3.55/1.21	# Other redundant clauses eliminated   : 52
3.55/1.21	# Clauses deleted for lack of memory   : 0
3.55/1.21	# Backward-subsumed                    : 0
3.55/1.21	# Backward-rewritten                   : 1
3.55/1.21	# Generated clauses                    : 5140
3.55/1.21	# ...of the previous two non-redundant : 5080
3.55/1.21	# ...aggressively subsumed             : 0
3.55/1.21	# Contextual simplify-reflections      : 0
3.55/1.21	# Paramodulations                      : 1965
3.55/1.21	# Factorizations                       : 0
3.55/1.21	# NegExts                              : 0
3.55/1.21	# Equation resolutions                 : 72
3.55/1.21	# Disequality decompositions           : 0
3.55/1.21	# Total rewrite steps                  : 313
3.55/1.21	# ...of those cached                   : 301
3.55/1.21	# Propositional unsat checks           : 0
3.55/1.21	#    Propositional check models        : 0
3.55/1.21	#    Propositional check unsatisfiable : 0
3.55/1.21	#    Propositional clauses             : 0
3.55/1.21	#    Propositional clauses after purity: 0
3.55/1.21	#    Propositional unsat core size     : 0
3.55/1.21	#    Propositional preprocessing time  : 0.000
3.55/1.21	#    Propositional encoding time       : 0.000
3.55/1.21	#    Propositional solver time         : 0.000
3.55/1.21	#    Success case prop preproc time    : 0.000
3.55/1.21	#    Success case prop encoding time   : 0.000
3.55/1.21	#    Success case prop solver time     : 0.000
3.55/1.21	# Current number of processed clauses  : 280
3.55/1.21	#    Positive orientable unit clauses  : 25
3.55/1.21	#    Positive unorientable unit clauses: 5
3.55/1.21	#    Negative unit clauses             : 45
3.55/1.21	#    Non-unit-clauses                  : 205
3.55/1.21	# Current number of unprocessed clauses: 4756
3.55/1.21	# ...number of literals in the above   : 38325
3.55/1.21	# Current number of archived formulas  : 0
3.55/1.21	# Current number of archived clauses   : 219
3.55/1.21	# Clause-clause subsumption calls (NU) : 52435
3.55/1.21	# Rec. Clause-clause subsumption calls : 4600
3.55/1.21	# Non-unit clause-clause subsumptions  : 230
3.55/1.21	# Unit Clause-clause subsumption calls : 996
3.55/1.21	# Rewrite failures with RHS unbound    : 56
3.55/1.21	# BW rewrite match attempts            : 28
3.55/1.21	# BW rewrite match successes           : 5
3.55/1.21	# Condensation attempts                : 0
3.55/1.21	# Condensation successes               : 0
3.55/1.21	# Termbank termtop insertions          : 386571
3.55/1.21	# Search garbage collected termcells   : 58664
3.55/1.21	
3.55/1.21	# -------------------------------------------------
3.55/1.21	# User time                : 0.615 s
3.55/1.21	# System time              : 0.028 s
3.55/1.21	# Total time               : 0.643 s
3.55/1.21	# Maximum resident set size: 11472 pages
3.55/1.21	
3.55/1.21	# -------------------------------------------------
3.55/1.21	# User time                : 0.636 s
3.55/1.21	# System time              : 0.032 s
3.55/1.21	# Total time               : 0.667 s
3.55/1.21	# Maximum resident set size: 3052 pages
3.55/1.21	% E---3.1 exiting
3.55/1.21	% E exiting
3.55/1.21	EOF