0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.11/0.32 % Computer : n005.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1920 0.11/0.32 % WCLimit : 240 0.11/0.32 % DateTime : Wed Jul 30 10:24:34 EDT 2025 0.11/0.33 % CPUTime : 0.20/0.47 Running higher-order theorem proving 0.38/0.54 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=240 /export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p 17.91/4.10 # Version: 3.0.0-ho 17.91/4.10 # Preprocessing class: HSLMSMSMLLLCHSA. 17.91/4.10 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 17.91/4.10 # Starting pre_casc_4 with 960s (4) cores 17.91/4.10 # Starting full_lambda_6 with 240s (1) cores 17.91/4.10 # Starting sh10 with 240s (1) cores 17.91/4.10 # Starting post_as_ho9 with 240s (1) cores 17.91/4.10 # Starting post_as_ho8 with 240s (1) cores 17.91/4.10 # sh10 with pid 29326 completed with status 0 17.91/4.10 # Result found by sh10 17.91/4.10 # Preprocessing class: HSLMSMSMLLLCHSA. 17.91/4.10 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 17.91/4.10 # Starting pre_casc_4 with 960s (4) cores 17.91/4.10 # Starting full_lambda_6 with 240s (1) cores 17.91/4.10 # Starting sh10 with 240s (1) cores 17.91/4.10 # No SInE strategy applied 17.91/4.10 # Search class: HGHSM-FMLM32-MHSMMFBN 17.91/4.10 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 17.91/4.10 # Starting sh10 with 143s (1) cores 17.91/4.10 # sh10 with pid 29331 completed with status 0 17.91/4.10 # Result found by sh10 17.91/4.10 # Preprocessing class: HSLMSMSMLLLCHSA. 17.91/4.10 # Scheduled 5 strats onto 8 cores with 240 seconds (1920 total) 17.91/4.10 # Starting pre_casc_4 with 960s (4) cores 17.91/4.10 # Starting full_lambda_6 with 240s (1) cores 17.91/4.10 # Starting sh10 with 240s (1) cores 17.91/4.10 # No SInE strategy applied 17.91/4.10 # Search class: HGHSM-FMLM32-MHSMMFBN 17.91/4.10 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 17.91/4.10 # Starting sh10 with 143s (1) cores 17.91/4.10 # Preprocessing time : 0.042 s 17.91/4.10 17.91/4.10 # Proof found! 17.91/4.10 # SZS status Theorem 17.91/4.10 # SZS output start CNFRefutation 17.91/4.10 thf(decl_23, type, is_of: $i > ($i > $o) > $o). 17.91/4.10 thf(decl_24, type, all_of: ($i > $o) > ($i > $o) > $o). 17.91/4.10 thf(decl_26, type, in: $i > $i > $o). 17.91/4.10 thf(decl_62, type, imp: $o > $o > $o). 17.91/4.10 thf(decl_63, type, d_not: $o > $o). 17.91/4.10 thf(decl_66, type, l_ec: $o > $o > $o). 17.91/4.10 thf(decl_67, type, d_and: $o > $o > $o). 17.91/4.10 thf(decl_68, type, l_or: $o > $o > $o). 17.91/4.10 thf(decl_72, type, non: $i > ($i > $o) > $i > $o). 17.91/4.10 thf(decl_73, type, l_some: $i > ($i > $o) > $o). 17.91/4.10 thf(decl_75, type, and3: $o > $o > $o > $o). 17.91/4.10 thf(decl_76, type, ec3: $o > $o > $o > $o). 17.91/4.10 thf(decl_78, type, e_is: $i > $i > $i > $o). 17.91/4.10 thf(decl_103, type, esti: $i > $i > $i > $o). 17.91/4.10 thf(decl_124, type, nat: $i). 17.91/4.10 thf(decl_125, type, n_is: $i > $i > $o). 17.91/4.10 thf(decl_128, type, n_some: ($i > $o) > $o). 17.91/4.10 thf(decl_143, type, n_pl: $i > $i > $i). 17.91/4.10 thf(decl_148, type, diffprop: $i > $i > $i > $o). 17.91/4.10 thf(decl_149, type, d_29_ii: $i > $i > $o). 17.91/4.10 thf(decl_150, type, iii: $i > $i > $o). 17.91/4.10 thf(decl_163, type, n_ts: $i > $i > $i). 17.91/4.10 thf(decl_190, type, frac: $i). 17.91/4.10 thf(decl_192, type, num: $i > $i). 17.91/4.10 thf(decl_193, type, den: $i > $i). 17.91/4.10 thf(decl_195, type, moref: $i > $i > $o). 17.91/4.10 thf(decl_196, type, lessf: $i > $i > $o). 17.91/4.10 thf(decl_204, type, inf: $i > $i > $o). 17.91/4.10 thf(decl_205, type, rat: $i). 17.91/4.10 thf(decl_206, type, rt_is: $i > $i > $o). 17.91/4.10 thf(decl_213, type, class: $i > $i). 17.91/4.10 thf(decl_216, type, rt_more: $i > $i > $o). 17.91/4.10 thf(decl_218, type, rt_less: $i > $i > $o). 17.91/4.10 thf(decl_220, type, rt_moreis: $i > $i > $o). 17.91/4.10 thf(decl_436, type, esk211_0: $i). 17.91/4.10 thf(decl_437, type, esk212_0: $i). 17.91/4.10 thf(decl_438, type, esk213_0: $i). 17.91/4.10 thf(decl_439, type, esk214_0: $i). 17.91/4.10 thf(decl_440, type, esk215_0: $i). 17.91/4.10 thf(decl_441, type, esk216_0: $i). 17.91/4.10 thf(decl_442, type, esk217_0: $i). 17.91/4.10 thf(decl_443, type, esk218_0: $i). 17.91/4.10 thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_d_not)). 17.91/4.10 thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_imp)). 17.91/4.10 thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_all_of)). 17.91/4.10 thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_is_of)). 17.91/4.10 thf(def_non, axiom, ((non)=(^[X1:$i, X2:$i > $o, X4:$i]:((d_not @ ((X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_non)). 17.91/4.10 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.JMcH6TYKhU/E---3.1_29246.p', def_l_some)). 17.91/4.10 thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_e_is)). 17.91/4.10 thf(def_l_ec, axiom, ((l_ec)=(^[X38:$o, X39:$o]:((imp @ ((X38)) @ ((d_not @ ((X39)))))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_l_ec)). 17.91/4.10 thf(def_diffprop, axiom, ((diffprop)=(^[X1:$i, X183:$i, X4:$i]:((n_is @ X1 @ (n_pl @ X183 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_diffprop)). 17.91/4.10 thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_n_is)). 17.91/4.10 thf(def_d_and, axiom, ((d_and)=(^[X40:$o, X41:$o]:((d_not @ ((l_ec @ ((X40)) @ ((X41)))))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_d_and)). 17.91/4.10 thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_d_29_ii)). 17.91/4.10 thf(def_n_some, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X842:$i]:(((((in @ X842 @ nat)))=>((((((Z0 @ X842)))=>(~($true))))))))))=>(~($true))))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_n_some)). 17.91/4.10 thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_iii)). 17.91/4.10 thf(def_and3, axiom, ((and3)=(^[X51:$o, X52:$o, X53:$o]:((d_and @ ((X51)) @ ((d_and @ ((X52)) @ ((X53)))))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_and3)). 17.91/4.10 thf(def_moref, axiom, ((moref)=(^[X1:$i, X219:$i]:((d_29_ii @ (n_ts @ (num @ X1) @ (den @ X219)) @ (n_ts @ (num @ X219) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_moref)). 17.91/4.10 thf(def_esti, axiom, ((esti)=(^[X1:$i]:(in))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_esti)). 17.91/4.10 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.JMcH6TYKhU/E---3.1_29246.p', def_lessf)). 17.91/4.10 thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_l_or)). 17.91/4.10 thf(def_rt_more, axiom, ((rt_more)=(^[X1:$i, X646:$i]:((l_some @ frac @ (^[X4:$i]:((l_some @ frac @ (^[X10:$i]:((and3 @ ((inf @ X4 @ (class @ X1))) @ ((inf @ X10 @ (class @ X646))) @ ((moref @ X4 @ X10)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_rt_more)). 17.91/4.10 thf(def_inf, axiom, ((inf)=(in)), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_inf)). 17.91/4.10 thf(def_ec3, axiom, ((ec3)=(^[X54:$o, X55:$o, X56:$o]:((and3 @ ((l_ec @ ((X54)) @ ((X55)))) @ ((l_ec @ ((X55)) @ ((X56)))) @ ((l_ec @ ((X56)) @ ((X54)))))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_ec3)). 17.91/4.10 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.JMcH6TYKhU/E---3.1_29246.p', def_rt_less)). 17.91/4.10 thf(def_rt_moreis, axiom, ((rt_moreis)=(^[X1:$i, X650:$i]:((l_or @ ((rt_more @ X1 @ X650)) @ ((rt_is @ X1 @ X650)))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_rt_moreis)). 17.91/4.10 thf(def_rt_is, axiom, ((rt_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', def_rt_is)). 17.91/4.10 thf(satz81b, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ rat))) @ (^[X1:$i]:((all_of @ (^[X662:$i]:((in @ X662 @ rat))) @ (^[X663:$i]:((ec3 @ ((rt_is @ X1 @ X663)) @ ((rt_more @ X1 @ X663)) @ ((rt_less @ X1 @ X663))))))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', satz81b)). 17.91/4.10 thf(satz81c, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ rat))) @ (^[X1:$i]:((all_of @ (^[X656:$i]:((in @ X656 @ rat))) @ (^[X657:$i]:(((rt_moreis @ X1 @ X657)=>(d_not @ ((rt_less @ X1 @ X657)))))))))), file('/export/starexec/sandbox2/tmp/tmp.JMcH6TYKhU/E---3.1_29246.p', satz81c)). 17.91/4.10 thf(c_0_27, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])). 17.91/4.10 thf(c_0_28, plain, ((imp)=(^[Z0/* 19 */:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])). 17.91/4.10 thf(c_0_29, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])). 17.91/4.10 thf(c_0_30, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])). 17.91/4.10 thf(c_0_31, plain, ((non)=(^[Z0/* 19 */:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_non])). 17.91/4.10 thf(c_0_32, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_27, c_0_28])). 17.91/4.10 thf(c_0_33, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X815:$i]:(((((in @ X815 @ Z0)))=>((((((Z1 @ X815)))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_l_some])). 17.91/4.10 thf(c_0_34, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_29, c_0_30])). 17.91/4.10 thf(c_0_35, plain, ((non)=(^[Z0/* 19 */:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_31, c_0_32])). 17.91/4.10 thf(c_0_36, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])). 17.91/4.10 thf(c_0_37, plain, ((l_ec)=(^[Z0/* 19 */:$o, Z1:$o]:(((((Z0))=>((((((Z1)))=>(~($true)))))))))), inference(fof_simplification,[status(thm)],[def_l_ec])). 17.91/4.10 thf(c_0_38, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X815:$i]:(((((in @ X815 @ Z0)))=>((((((Z1 @ X815)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_33, c_0_34]), c_0_32]), c_0_35])). 17.91/4.10 thf(c_0_39, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[def_diffprop])). 17.91/4.10 thf(c_0_40, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_36])). 17.91/4.10 thf(c_0_41, plain, ((d_and)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_and])). 17.91/4.10 thf(c_0_42, plain, ((l_ec)=(^[Z0/* 19 */:$o, Z1:$o]:(((((Z0))=>((((((Z1)))=>(~($true)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_37, c_0_28]), c_0_32])). 17.91/4.10 thf(c_0_43, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X853:$i]:(((((in @ X853 @ nat)))=>(((((((((Z0)=(n_pl @ Z1 @ X853))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])). 17.91/4.10 thf(c_0_44, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X842:$i]:(((((in @ X842 @ nat)))=>((((((Z0 @ X842)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[def_n_some, c_0_38])). 17.91/4.10 thf(c_0_45, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_39, c_0_40])). 17.91/4.10 thf(c_0_46, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X854:$i]:(((((in @ X854 @ nat)))=>(((((((((Z1)=(n_pl @ Z0 @ X854))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_iii])). 17.91/4.10 thf(c_0_47, plain, ((and3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:(((((((((((Z0))))=>(((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_and3])). 17.91/4.10 thf(c_0_48, plain, ((d_and)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_41, c_0_32]), c_0_42])). 17.91/4.10 thf(c_0_49, plain, ((moref)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X868:$i]:(((((in @ X868 @ nat)))=>(((((((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ X868))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_moref])). 17.91/4.10 thf(c_0_50, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X853:$i]:(((((in @ X853 @ nat)))=>(((((((((Z0)=(n_pl @ Z1 @ X853))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_43, c_0_44]), c_0_45])). 17.91/4.10 thf(c_0_51, plain, ((esti)=(^[Z0/* 26 */:$i]:(in))), inference(fof_simplification,[status(thm)],[def_esti])). 17.91/4.10 thf(c_0_52, plain, ((lessf)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X869:$i]:(((((in @ X869 @ nat)))=>(((((((((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ X869))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_lessf])). 17.91/4.10 thf(c_0_53, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X854:$i]:(((((in @ X854 @ nat)))=>(((((((((Z1)=(n_pl @ Z0 @ X854))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_46, c_0_44]), c_0_45])). 17.91/4.10 thf(c_0_54, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])). 17.91/4.10 thf(c_0_55, plain, ((rt_more)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X883:$i]:(((((in @ X883 @ frac)))=>(((((((((((![X882:$i]:(((((in @ X882 @ frac)))=>(((((((((((((((((in @ X883 @ (class @ Z0))))))=>((((((((((((((((((in @ X882 @ (class @ Z1))))))=>(((((((((((((![X881:$i]:(((((in @ X881 @ nat)))=>(((((((((n_ts @ (num @ X883) @ (den @ X882))=(n_pl @ (n_ts @ (num @ X882) @ (den @ X883)) @ X881))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_rt_more])). 17.91/4.10 thf(c_0_56, plain, ((and3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:(((((((((((Z0))))=>(((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_47, c_0_48])). 17.91/4.10 thf(c_0_57, plain, ((moref)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X868:$i]:(((((in @ X868 @ nat)))=>(((((((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ X868))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_49, c_0_50])). 17.91/4.10 thf(c_0_58, axiom, ((inf)=(in)), inference(apply_def,[status(thm)],[def_inf, c_0_51])). 17.91/4.10 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(fof_simplification,[status(thm)],[def_ec3])). 17.91/4.10 thf(c_0_60, plain, ((rt_less)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X887:$i]:(((((in @ X887 @ frac)))=>(((((((((((![X886:$i]:(((((in @ X886 @ frac)))=>(((((((((((((((((in @ X887 @ (class @ Z0))))))=>((((((((((((((((((in @ X886 @ (class @ Z1))))))=>(((((((((((((![X885:$i]:(((((in @ X885 @ nat)))=>(((((((((n_ts @ (num @ X886) @ (den @ X887))=(n_pl @ (n_ts @ (num @ X887) @ (den @ X886)) @ X885))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_rt_less])). 17.91/4.10 thf(c_0_61, plain, ((lessf)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X869:$i]:(((((in @ X869 @ nat)))=>(((((((((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ X869))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_52, c_0_53])). 17.91/4.10 thf(c_0_62, plain, ((rt_moreis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X889:$i]:(((((in @ X889 @ frac)))=>(((((((((((![X890:$i]:(((((in @ X890 @ frac)))=>(((((((((((((((((in @ X889 @ (class @ Z0))))))=>((((((((((((((((((in @ X890 @ (class @ Z1))))))=>(((((((((((((![X891:$i]:(((((in @ X891 @ nat)))=>(((((((((n_ts @ (num @ X889) @ (den @ X890))=(n_pl @ (n_ts @ (num @ X890) @ (den @ X889)) @ X891))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[def_rt_moreis])). 17.91/4.10 thf(c_0_63, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_54, c_0_28]), c_0_32])). 17.91/4.10 thf(c_0_64, axiom, ((rt_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_rt_is, c_0_36])). 17.91/4.10 thf(c_0_65, plain, ((rt_more)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X883:$i]:(((((in @ X883 @ frac)))=>(((((((((((![X882:$i]:(((((in @ X882 @ frac)))=>(((((((((((((((((in @ X883 @ (class @ Z0))))))=>((((((((((((((((((in @ X882 @ (class @ Z1))))))=>(((((((((((((![X881:$i]:(((((in @ X881 @ nat)))=>(((((((((n_ts @ (num @ X883) @ (den @ X882))=(n_pl @ (n_ts @ (num @ X882) @ (den @ X883)) @ X881))))))=>(~($true))))))))))=>(~($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_55, c_0_38]), c_0_56]), c_0_57]), c_0_58])). 17.91/4.10 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_59, c_0_42]), c_0_56])). 17.91/4.10 thf(c_0_67, plain, ((rt_less)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X887:$i]:(((((in @ X887 @ frac)))=>(((((((((((![X886:$i]:(((((in @ X886 @ frac)))=>(((((((((((((((((in @ X887 @ (class @ Z0))))))=>((((((((((((((((((in @ X886 @ (class @ Z1))))))=>(((((((((((((![X885:$i]:(((((in @ X885 @ nat)))=>(((((((((n_ts @ (num @ X886) @ (den @ X887))=(n_pl @ (n_ts @ (num @ X887) @ (den @ X886)) @ X885))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_60, c_0_38]), c_0_56]), c_0_61]), c_0_58])). 17.91/4.10 thf(c_0_68, plain, ((rt_moreis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X889:$i]:(((((in @ X889 @ frac)))=>(((((((((((![X890:$i]:(((((in @ X890 @ frac)))=>(((((((((((((((((in @ X889 @ (class @ Z0))))))=>((((((((((((((((((in @ X890 @ (class @ Z1))))))=>(((((((((((((![X891:$i]:(((((in @ X891 @ nat)))=>(((((((((n_ts @ (num @ X889) @ (den @ X890))=(n_pl @ (n_ts @ (num @ X890) @ (den @ X889)) @ X891))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_62, c_0_63]), c_0_64]), c_0_65])). 17.91/4.10 thf(c_0_69, plain, ![X2014:$i]:(((in @ X2014 @ rat)=>![X2013:$i]:(((in @ X2013 @ rat)=>(((((X2014)=(X2013))=>((![X2007:$i]:(((in @ X2007 @ frac)=>((![X2008:$i]:(((in @ X2008 @ frac)=>((((in @ X2007 @ (class @ X2014))=>((((in @ X2008 @ (class @ X2013))=>((![X2009:$i]:(((in @ X2009 @ nat)=>(((n_ts @ (num @ X2007) @ (den @ X2008))=(n_pl @ (n_ts @ (num @ X2008) @ (den @ X2007)) @ X2009))=>~($true))))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true))))=>~($true))=>~($true))))=>~($true))=>~($true)))=>(((((![X2007:$i]:(((in @ X2007 @ frac)=>((![X2008:$i]:(((in @ X2008 @ frac)=>((((in @ X2007 @ (class @ X2014))=>((((in @ X2008 @ (class @ X2013))=>((![X2009:$i]:(((in @ X2009 @ nat)=>(((n_ts @ (num @ X2007) @ (den @ X2008))=(n_pl @ (n_ts @ (num @ X2008) @ (den @ X2007)) @ X2009))=>~($true))))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true))))=>~($true))=>~($true))))=>~($true))=>((![X2010:$i]:(((in @ X2010 @ frac)=>((![X2011:$i]:(((in @ X2011 @ frac)=>((((in @ X2010 @ (class @ X2014))=>((((in @ X2011 @ (class @ X2013))=>((![X2012:$i]:(((in @ X2012 @ nat)=>(((n_ts @ (num @ X2011) @ (den @ X2010))=(n_pl @ (n_ts @ (num @ X2010) @ (den @ X2011)) @ X2012))=>~($true))))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true))))=>~($true))=>~($true))))=>~($true))=>~($true)))=>(((![X2010:$i]:(((in @ X2010 @ frac)=>((![X2011:$i]:(((in @ X2011 @ frac)=>((((in @ X2010 @ (class @ X2014))=>((((in @ X2011 @ (class @ X2013))=>((![X2012:$i]:(((in @ X2012 @ nat)=>(((n_ts @ (num @ X2011) @ (den @ X2010))=(n_pl @ (n_ts @ (num @ X2010) @ (den @ X2011)) @ X2012))=>~($true))))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true))))=>~($true))=>~($true))))=>~($true))=>(((X2014)=(X2013))=>~($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)],[satz81b]), c_0_34]), c_0_66]), c_0_64]), c_0_65]), c_0_67])). 17.91/4.10 thf(c_0_70, negated_conjecture, ~(![X1995:$i]:(((in @ X1995 @ rat)=>![X1994:$i]:(((in @ X1994 @ rat)=>((((![X1988:$i]:(((in @ X1988 @ frac)=>((![X1989:$i]:(((in @ X1989 @ frac)=>((((in @ X1988 @ (class @ X1995))=>((((in @ X1989 @ (class @ X1994))=>((![X1990:$i]:(((in @ X1990 @ nat)=>(((n_ts @ (num @ X1988) @ (den @ X1989))=(n_pl @ (n_ts @ (num @ X1989) @ (den @ X1988)) @ X1990))=>~($true))))=>~($true))=>~($true)))=>~($true))=>~($true)))=>~($true))=>~($true))))=>~($true))=>~($true))))=>~($true))=>~($true))=>((X1995)=(X1994)))=>((![X1991:$i]:(((in @ X1991 @ frac)=>((![X1992:$i]:(((in @ X1992 @ frac)=>((((in @ X1991 @ (class @ X1995))=>((((in @ X1992 @ (class @ X1994))=>((![X1993:$i]:(((in @ X1993 @ nat)=>(((n_ts @ (num @ X1992) @ (den @ X1991))=(n_pl @ (n_ts @ (num @ X1991) @ (den @ X1992)) @ X1993))=>~($true))))=>~($true))=>~($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)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz81c])]), c_0_34]), c_0_32]), c_0_67]), c_0_68])). 17.91/4.10 thf(c_0_71, plain, ![X3645:$i, X3646:$i, X3647:$i, X3648:$i, X3649:$i, X3650:$i, X3651:$i, X3652:$i, X3653:$i, X3654:$i, X3655:$i, X3656:$i, X3657:$i, X3658:$i]:((((((((~(in @ X3649 @ nat)|(((n_ts @ (num @ X3647) @ (den @ X3648))!=(n_pl @ (n_ts @ (num @ X3648) @ (den @ X3647)) @ X3649))|~($true))|~($true)|~(in @ X3648 @ (class @ X3646))|~($true)|~(in @ X3647 @ (class @ X3645))|~($true)|~(in @ X3648 @ frac)|~($true)|~(in @ X3647 @ frac)|~($true)|((X3645)!=(X3646))|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))&(($true)|~($true)|~(in @ X3648 @ (class @ X3646))|~($true)|~(in @ X3647 @ (class @ X3645))|~($true)|~(in @ X3648 @ frac)|~($true)|~(in @ X3647 @ frac)|~($true)|((X3645)!=(X3646))|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3647 @ (class @ X3645))|~($true)|~(in @ X3648 @ frac)|~($true)|~(in @ X3647 @ frac)|~($true)|((X3645)!=(X3646))|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3648 @ frac)|~($true)|~(in @ X3647 @ frac)|~($true)|((X3645)!=(X3646))|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3647 @ frac)|~($true)|((X3645)!=(X3646))|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|((X3645)!=(X3646))|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(((((((((((((~(in @ X3655 @ nat)|(((n_ts @ (num @ X3654) @ (den @ X3653))!=(n_pl @ (n_ts @ (num @ X3653) @ (den @ X3654)) @ X3655))|~($true))|~($true)|~(in @ X3654 @ (class @ X3646))|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(~(in @ X3652 @ nat)|(((n_ts @ (num @ X3650) @ (den @ X3651))!=(n_pl @ (n_ts @ (num @ X3651) @ (den @ X3650)) @ X3652))|~($true))|~($true)|~(in @ X3651 @ (class @ X3646))|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))&(($true)|~($true)|~(in @ X3654 @ (class @ X3646))|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(~(in @ X3652 @ nat)|(((n_ts @ (num @ X3650) @ (den @ X3651))!=(n_pl @ (n_ts @ (num @ X3651) @ (den @ X3650)) @ X3652))|~($true))|~($true)|~(in @ X3651 @ (class @ X3646))|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(~(in @ X3652 @ nat)|(((n_ts @ (num @ X3650) @ (den @ X3651))!=(n_pl @ (n_ts @ (num @ X3651) @ (den @ X3650)) @ X3652))|~($true))|~($true)|~(in @ X3651 @ (class @ X3646))|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(~(in @ X3652 @ nat)|(((n_ts @ (num @ X3650) @ (den @ X3651))!=(n_pl @ (n_ts @ (num @ X3651) @ (den @ X3650)) @ X3652))|~($true))|~($true)|~(in @ X3651 @ (class @ X3646))|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3653 @ frac)|~($true)|(~(in @ X3652 @ nat)|(((n_ts @ (num @ X3650) @ (den @ X3651))!=(n_pl @ (n_ts @ (num @ X3651) @ (den @ X3650)) @ X3652))|~($true))|~($true)|~(in @ X3651 @ (class @ X3646))|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|(~(in @ X3652 @ nat)|(((n_ts @ (num @ X3650) @ (den @ X3651))!=(n_pl @ (n_ts @ (num @ X3651) @ (den @ X3650)) @ X3652))|~($true))|~($true)|~(in @ X3651 @ (class @ X3646))|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&((((((~(in @ X3655 @ nat)|(((n_ts @ (num @ X3654) @ (den @ X3653))!=(n_pl @ (n_ts @ (num @ X3653) @ (den @ X3654)) @ X3655))|~($true))|~($true)|~(in @ X3654 @ (class @ X3646))|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3651 @ (class @ X3646))|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))&(($true)|~($true)|~(in @ X3654 @ (class @ X3646))|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3651 @ (class @ X3646))|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3651 @ (class @ X3646))|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3651 @ (class @ X3646))|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3651 @ (class @ X3646))|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|(($true)|~($true)|~(in @ X3651 @ (class @ X3646))|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))))&((((((~(in @ X3655 @ nat)|(((n_ts @ (num @ X3654) @ (den @ X3653))!=(n_pl @ (n_ts @ (num @ X3653) @ (den @ X3654)) @ X3655))|~($true))|~($true)|~(in @ X3654 @ (class @ X3646))|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))&(($true)|~($true)|~(in @ X3654 @ (class @ X3646))|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|(($true)|~($true)|~(in @ X3650 @ (class @ X3645))|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))))&((((((~(in @ X3655 @ nat)|(((n_ts @ (num @ X3654) @ (den @ X3653))!=(n_pl @ (n_ts @ (num @ X3653) @ (den @ X3654)) @ X3655))|~($true))|~($true)|~(in @ X3654 @ (class @ X3646))|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))&(($true)|~($true)|~(in @ X3654 @ (class @ X3646))|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|(($true)|~($true)|~(in @ X3651 @ frac)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))))&((((((~(in @ X3655 @ nat)|(((n_ts @ (num @ X3654) @ (den @ X3653))!=(n_pl @ (n_ts @ (num @ X3653) @ (den @ X3654)) @ X3655))|~($true))|~($true)|~(in @ X3654 @ (class @ X3646))|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))&(($true)|~($true)|~(in @ X3654 @ (class @ X3646))|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3653 @ frac)|~($true)|(($true)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|(($true)|~($true)|~(in @ X3650 @ frac))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))))&((((((~(in @ X3655 @ nat)|(((n_ts @ (num @ X3654) @ (den @ X3653))!=(n_pl @ (n_ts @ (num @ X3653) @ (den @ X3654)) @ X3655))|~($true))|~($true)|~(in @ X3654 @ (class @ X3646))|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|($true)|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))&(($true)|~($true)|~(in @ X3654 @ (class @ X3646))|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|($true)|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3653 @ (class @ X3645))|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|($true)|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3654 @ frac)|~($true)|~(in @ X3653 @ frac)|~($true)|($true)|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3653 @ frac)|~($true)|($true)|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|($true)|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))))&(((((((~(in @ X3658 @ nat)|(((n_ts @ (num @ X3657) @ (den @ X3656))!=(n_pl @ (n_ts @ (num @ X3656) @ (den @ X3657)) @ X3658))|~($true))|~($true)|~(in @ X3657 @ (class @ X3646))|~($true)|~(in @ X3656 @ (class @ X3645))|~($true)|~(in @ X3657 @ frac)|~($true)|~(in @ X3656 @ frac)|(((X3645)!=(X3646))|~($true))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))&(($true)|~($true)|~(in @ X3657 @ (class @ X3646))|~($true)|~(in @ X3656 @ (class @ X3645))|~($true)|~(in @ X3657 @ frac)|~($true)|~(in @ X3656 @ frac)|(((X3645)!=(X3646))|~($true))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3656 @ (class @ X3645))|~($true)|~(in @ X3657 @ frac)|~($true)|~(in @ X3656 @ frac)|(((X3645)!=(X3646))|~($true))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3657 @ frac)|~($true)|~(in @ X3656 @ frac)|(((X3645)!=(X3646))|~($true))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~(in @ X3656 @ frac)|(((X3645)!=(X3646))|~($true))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|(((X3645)!=(X3646))|~($true))|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat)))&(($true)|~($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))))&(($true)|~($true)|~(in @ X3646 @ rat)|~(in @ X3645 @ rat))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])])])). 17.91/4.10 thf(c_0_72, negated_conjecture, ((in @ esk211_0 @ rat)&((in @ esk212_0 @ rat)&(((((in @ esk213_0 @ frac)|~($true)|((esk211_0)=(esk212_0)))&((((in @ esk214_0 @ frac)|~($true)|~($true)|((esk211_0)=(esk212_0)))&((((in @ esk213_0 @ (class @ esk211_0))|~($true)|~($true)|~($true)|((esk211_0)=(esk212_0)))&((((in @ esk214_0 @ (class @ esk212_0))|~($true)|~($true)|~($true)|~($true)|((esk211_0)=(esk212_0)))&((((in @ esk215_0 @ nat)|~($true)|~($true)|~($true)|~($true)|~($true)|((esk211_0)=(esk212_0)))&((((n_ts @ (num @ esk213_0) @ (den @ esk214_0))=(n_pl @ (n_ts @ (num @ esk214_0) @ (den @ esk213_0)) @ esk215_0))|~($true)|~($true)|~($true)|~($true)|~($true)|((esk211_0)=(esk212_0)))&(($true)|~($true)|~($true)|~($true)|~($true)|~($true)|((esk211_0)=(esk212_0)))))&(($true)|~($true)|~($true)|~($true)|~($true)|((esk211_0)=(esk212_0)))))&(($true)|~($true)|~($true)|~($true)|((esk211_0)=(esk212_0)))))&(($true)|~($true)|~($true)|((esk211_0)=(esk212_0)))))&(($true)|~($true)|((esk211_0)=(esk212_0)))))&(($true)|((esk211_0)=(esk212_0))))&((((in @ esk216_0 @ frac)|~($true))&((((in @ esk217_0 @ frac)|~($true)|~($true))&((((in @ esk216_0 @ (class @ esk211_0))|~($true)|~($true)|~($true))&((((in @ esk217_0 @ (class @ esk212_0))|~($true)|~($true)|~($true)|~($true))&((((in @ esk218_0 @ nat)|~($true)|~($true)|~($true)|~($true)|~($true))&((((n_ts @ (num @ esk217_0) @ (den @ esk216_0))=(n_pl @ (n_ts @ (num @ esk216_0) @ (den @ esk217_0)) @ esk218_0))|~($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))))&($true))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])])])])). 17.91/4.10 thf(c_0_73, plain, ![X1:$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))|~((in @ X6 @ rat))|~((in @ X7 @ rat)))), inference(split_conjunct,[status(thm)],[c_0_71])). 17.91/4.10 thf(c_0_74, negated_conjecture, ((in @ esk216_0 @ frac)|~(($true))), inference(split_conjunct,[status(thm)],[c_0_72])). 17.91/4.10 thf(c_0_75, plain, ![X1:$i, X5:$i, X4:$i, X8:$i, X12:$i, X10:$i, X7:$i, X6:$i]:((((n_ts @ (num @ X10) @ (den @ X12))!=(n_pl @ (n_ts @ (num @ X12) @ (den @ X10)) @ X8))|((n_ts @ (num @ X4) @ (den @ X5))!=(n_pl @ (n_ts @ (num @ X5) @ (den @ X4)) @ X1))|~((in @ X12 @ frac))|~((in @ X10 @ frac))|~((in @ X8 @ nat))|~((in @ X7 @ rat))|~((in @ X6 @ rat))|~((in @ X5 @ frac))|~((in @ X4 @ frac))|~((in @ X1 @ nat))|~((in @ X12 @ (class @ X6)))|~((in @ X10 @ (class @ X7)))|~((in @ X5 @ (class @ X7)))|~((in @ X4 @ (class @ X6))))), inference(cn,[status(thm)],[c_0_73])). 17.91/4.10 thf(c_0_76, negated_conjecture, (in @ esk216_0 @ frac), inference(cn,[status(thm)],[c_0_74])). 17.91/4.10 thf(c_0_77, negated_conjecture, ((in @ esk217_0 @ frac)|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_72])). 17.91/4.10 thf(c_0_78, negated_conjecture, ![X1:$i, X4:$i, X5:$i, X6:$i, X10:$i, X8:$i, X7:$i]:((((n_pl @ (n_ts @ (num @ esk216_0) @ (den @ X1)) @ X4)!=(n_ts @ (num @ X1) @ (den @ esk216_0)))|((n_pl @ (n_ts @ (num @ X5) @ (den @ X6)) @ X7)!=(n_ts @ (num @ X6) @ (den @ X5)))|~((in @ esk216_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_75, c_0_76])). 17.91/4.10 thf(c_0_79, negated_conjecture, (in @ esk217_0 @ frac), inference(cn,[status(thm)],[c_0_77])). 17.91/4.10 thf(c_0_80, negated_conjecture, ((in @ esk218_0 @ nat)|~(($true))|~(($true))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_72])). 17.91/4.10 thf(c_0_81, negated_conjecture, (((n_ts @ (num @ esk217_0) @ (den @ esk216_0))=(n_pl @ (n_ts @ (num @ esk216_0) @ (den @ esk217_0)) @ esk218_0))|~(($true))|~(($true))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_72])). 17.91/4.10 thf(c_0_82, negated_conjecture, ![X1:$i, X4:$i, X5:$i, X8:$i, X7:$i, X6:$i]:((((n_pl @ (n_ts @ (num @ esk216_0) @ (den @ esk217_0)) @ X1)!=(n_ts @ (num @ esk217_0) @ (den @ esk216_0)))|((n_pl @ (n_ts @ (num @ X4) @ (den @ X5)) @ X6)!=(n_ts @ (num @ X5) @ (den @ X4)))|~((in @ esk216_0 @ (class @ X7)))|~((in @ esk217_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_78, c_0_79])). 17.91/4.10 thf(c_0_83, negated_conjecture, (in @ esk218_0 @ nat), inference(cn,[status(thm)],[c_0_80])). 17.91/4.10 thf(c_0_84, negated_conjecture, ((n_ts @ (num @ esk217_0) @ (den @ esk216_0))=(n_pl @ (n_ts @ (num @ esk216_0) @ (den @ esk217_0)) @ esk218_0)), inference(cn,[status(thm)],[c_0_81])). 17.91/4.10 thf(c_0_85, negated_conjecture, ((in @ esk217_0 @ (class @ esk212_0))|~(($true))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_72])). 17.91/4.10 thf(c_0_86, negated_conjecture, ![X1:$i, X4:$i, X7:$i, X6:$i, X5:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ X5)!=(n_ts @ (num @ X4) @ (den @ X1)))|~((in @ esk216_0 @ (class @ X6)))|~((in @ esk217_0 @ (class @ X7)))|~((in @ X1 @ (class @ X7)))|~((in @ X4 @ (class @ X6)))|~((in @ X7 @ rat))|~((in @ X6 @ rat))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ nat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_84])])). 17.91/4.10 thf(c_0_87, negated_conjecture, (in @ esk212_0 @ rat), inference(split_conjunct,[status(thm)],[c_0_72])). 17.91/4.10 thf(c_0_88, negated_conjecture, (in @ esk217_0 @ (class @ esk212_0)), inference(cn,[status(thm)],[c_0_85])). 17.91/4.10 thf(c_0_89, negated_conjecture, ((in @ esk216_0 @ (class @ esk211_0))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_72])). 17.91/4.10 thf(c_0_90, 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))|~(($true))|~((in @ X6 @ rat))|~((in @ X7 @ rat)))), inference(split_conjunct,[status(thm)],[c_0_71])). 17.91/4.10 thf(c_0_91, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ X5)!=(n_ts @ (num @ X4) @ (den @ X1)))|~((in @ esk216_0 @ (class @ X6)))|~((in @ X1 @ (class @ esk212_0)))|~((in @ X4 @ (class @ X6)))|~((in @ X6 @ rat))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ nat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_88])])). 17.91/4.10 thf(c_0_92, negated_conjecture, (in @ esk211_0 @ rat), inference(split_conjunct,[status(thm)],[c_0_72])). 17.91/4.10 thf(c_0_93, negated_conjecture, (in @ esk216_0 @ (class @ esk211_0)), inference(cn,[status(thm)],[c_0_89])). 17.91/4.10 thf(c_0_94, negated_conjecture, ((in @ esk214_0 @ frac)|((esk211_0)=(esk212_0))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_72])). 17.91/4.10 thf(c_0_95, negated_conjecture, ((in @ esk214_0 @ (class @ esk212_0))|((esk211_0)=(esk212_0))|~(($true))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_72])). 17.91/4.10 thf(c_0_96, plain, ![X1:$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_90])). 17.91/4.10 thf(c_0_97, negated_conjecture, ![X1:$i, X4:$i, X5:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ X5)!=(n_ts @ (num @ X4) @ (den @ X1)))|~((in @ X1 @ (class @ esk212_0)))|~((in @ X4 @ (class @ esk211_0)))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ nat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_93])])). 17.91/4.10 thf(c_0_98, negated_conjecture, (((esk212_0)=(esk211_0))|(in @ esk214_0 @ frac)), inference(cn,[status(thm)],[c_0_94])). 17.91/4.10 thf(c_0_99, negated_conjecture, (((esk212_0)=(esk211_0))|(in @ esk214_0 @ (class @ esk212_0))), inference(cn,[status(thm)],[c_0_95])). 17.91/4.10 thf(c_0_100, negated_conjecture, ((in @ esk213_0 @ frac)|((esk211_0)=(esk212_0))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_72])). 17.91/4.10 thf(c_0_101, negated_conjecture, ((in @ esk213_0 @ (class @ esk211_0))|((esk211_0)=(esk212_0))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_72])). 17.91/4.10 thf(c_0_102, plain, ![X1:$i, X4:$i, X6:$i, X5:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ X5)!=(n_ts @ (num @ X4) @ (den @ X1)))|~((in @ X1 @ (class @ X6)))|~((in @ X4 @ (class @ X6)))|~((in @ X6 @ rat))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ nat)))), inference(er,[status(thm)],[c_0_96])). 17.91/4.10 thf(c_0_103, negated_conjecture, ![X1:$i, X4:$i]:((((esk212_0)=(esk211_0))|((n_pl @ (n_ts @ (num @ esk214_0) @ (den @ X1)) @ X4)!=(n_ts @ (num @ X1) @ (den @ esk214_0)))|~((in @ X1 @ (class @ esk211_0)))|~((in @ X1 @ frac))|~((in @ X4 @ nat)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_98]), c_0_99])). 17.91/4.10 thf(c_0_104, negated_conjecture, (((esk212_0)=(esk211_0))|(in @ esk213_0 @ frac)), inference(cn,[status(thm)],[c_0_100])). 17.91/4.10 thf(c_0_105, negated_conjecture, (((esk212_0)=(esk211_0))|(in @ esk213_0 @ (class @ esk211_0))), inference(cn,[status(thm)],[c_0_101])). 17.91/4.10 thf(c_0_106, negated_conjecture, ((in @ esk215_0 @ nat)|((esk211_0)=(esk212_0))|~(($true))|~(($true))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_72])). 17.91/4.10 thf(c_0_107, negated_conjecture, (((n_ts @ (num @ esk213_0) @ (den @ esk214_0))=(n_pl @ (n_ts @ (num @ esk214_0) @ (den @ esk213_0)) @ esk215_0))|((esk211_0)=(esk212_0))|~(($true))|~(($true))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_72])). 17.91/4.10 thf(c_0_108, negated_conjecture, ![X1:$i, X4:$i, X5:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ X5)!=(n_ts @ (num @ X4) @ (den @ X1)))|~((in @ X1 @ (class @ esk211_0)))|~((in @ X4 @ (class @ esk211_0)))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ nat)))), inference(spm,[status(thm)],[c_0_102, c_0_92])). 17.91/4.10 thf(c_0_109, negated_conjecture, ![X1:$i]:((((esk212_0)=(esk211_0))|((n_pl @ (n_ts @ (num @ esk214_0) @ (den @ esk213_0)) @ X1)!=(n_ts @ (num @ esk213_0) @ (den @ esk214_0)))|~((in @ X1 @ nat)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_104]), c_0_105])). 17.91/4.10 thf(c_0_110, negated_conjecture, (((esk212_0)=(esk211_0))|(in @ esk215_0 @ nat)), inference(cn,[status(thm)],[c_0_106])). 17.91/4.10 thf(c_0_111, negated_conjecture, (((esk212_0)=(esk211_0))|((n_ts @ (num @ esk213_0) @ (den @ esk214_0))=(n_pl @ (n_ts @ (num @ esk214_0) @ (den @ esk213_0)) @ esk215_0))), inference(cn,[status(thm)],[c_0_107])). 17.91/4.10 thf(c_0_112, negated_conjecture, ![X1:$i, X4:$i]:((((n_pl @ (n_ts @ (num @ esk216_0) @ (den @ X1)) @ X4)!=(n_ts @ (num @ X1) @ (den @ esk216_0)))|~((in @ X1 @ (class @ esk211_0)))|~((in @ X1 @ frac))|~((in @ X4 @ nat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_76]), c_0_93])])). 17.91/4.10 thf(c_0_113, negated_conjecture, ((esk212_0)=(esk211_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_110]), c_0_111])). 17.91/4.10 thf(c_0_114, negated_conjecture, ![X1:$i]:((((n_pl @ (n_ts @ (num @ esk216_0) @ (den @ esk217_0)) @ X1)!=(n_ts @ (num @ esk217_0) @ (den @ esk216_0)))|~((in @ esk217_0 @ (class @ esk211_0)))|~((in @ X1 @ nat)))), inference(spm,[status(thm)],[c_0_112, c_0_79])). 17.91/4.10 thf(c_0_115, negated_conjecture, (in @ esk217_0 @ (class @ esk211_0)), inference(spm,[status(thm)],[c_0_88, c_0_113])). 17.91/4.10 thf(c_0_116, negated_conjecture, ![X1:$i]:((((n_pl @ (n_ts @ (num @ esk216_0) @ (den @ esk217_0)) @ X1)!=(n_ts @ (num @ esk217_0) @ (den @ esk216_0)))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114, c_0_115])])). 17.91/4.10 thf(c_0_117, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_83]), c_0_84])]), ['proof']). 17.91/4.10 # SZS output end CNFRefutation 17.91/4.10 # Parsed axioms : 693 17.91/4.10 # Removed by relevancy pruning/SinE : 0 17.91/4.10 # Initial clauses : 3466 17.91/4.10 # Removed in clause preprocessing : 2486 17.91/4.10 # Initial clauses in saturation : 980 17.91/4.10 # Processed clauses : 2686 17.91/4.10 # ...of these trivial : 25 17.91/4.10 # ...subsumed : 433 17.91/4.10 # ...remaining for further processing : 2228 17.91/4.10 # Other redundant clauses eliminated : 129 17.91/4.10 # Clauses deleted for lack of memory : 0 17.91/4.10 # Backward-subsumed : 54 17.91/4.10 # Backward-rewritten : 343 17.91/4.10 # Generated clauses : 132791 17.91/4.10 # ...of the previous two non-redundant : 132281 17.91/4.10 # ...aggressively subsumed : 0 17.91/4.10 # Contextual simplify-reflections : 24 17.91/4.10 # Paramodulations : 132396 17.91/4.10 # Factorizations : 2 17.91/4.10 # NegExts : 6 17.91/4.10 # Equation resolutions : 143 17.91/4.10 # Disequality decompositions : 0 17.91/4.10 # Total rewrite steps : 3779 17.91/4.10 # ...of those cached : 3130 17.91/4.10 # Propositional unsat checks : 0 17.91/4.10 # Propositional check models : 0 17.91/4.10 # Propositional check unsatisfiable : 0 17.91/4.10 # Propositional clauses : 0 17.91/4.10 # Propositional clauses after purity: 0 17.91/4.10 # Propositional unsat core size : 0 17.91/4.10 # Propositional preprocessing time : 0.000 17.91/4.10 # Propositional encoding time : 0.000 17.91/4.10 # Propositional solver time : 0.000 17.91/4.10 # Success case prop preproc time : 0.000 17.91/4.10 # Success case prop encoding time : 0.000 17.91/4.10 # Success case prop solver time : 0.000 17.91/4.10 # Current number of processed clauses : 1746 17.91/4.10 # Positive orientable unit clauses : 264 17.91/4.10 # Positive unorientable unit clauses: 11 17.91/4.10 # Negative unit clauses : 128 17.91/4.10 # Non-unit-clauses : 1343 17.91/4.10 # Current number of unprocessed clauses: 130403 17.91/4.10 # ...number of literals in the above : 909008 17.91/4.10 # Current number of archived formulas : 0 17.91/4.10 # Current number of archived clauses : 398 17.91/4.10 # Clause-clause subsumption calls (NU) : 883942 17.91/4.10 # Rec. Clause-clause subsumption calls : 92089 17.91/4.10 # Non-unit clause-clause subsumptions : 329 17.91/4.10 # Unit Clause-clause subsumption calls : 107050 17.91/4.10 # Rewrite failures with RHS unbound : 0 17.91/4.10 # BW rewrite match attempts : 381 17.91/4.10 # BW rewrite match successes : 54 17.91/4.10 # Condensation attempts : 0 17.91/4.10 # Condensation successes : 0 17.91/4.10 # Termbank termtop insertions : 4024833 17.91/4.10 # Search garbage collected termcells : 141477 17.91/4.10 17.91/4.10 # ------------------------------------------------- 17.91/4.10 # User time : 3.338 s 17.91/4.10 # System time : 0.138 s 17.91/4.10 # Total time : 3.476 s 17.91/4.10 # Maximum resident set size: 20308 pages 17.91/4.10 17.91/4.10 # ------------------------------------------------- 17.91/4.10 # User time : 3.361 s 17.91/4.10 # System time : 0.144 s 17.91/4.10 # Total time : 3.505 s 17.91/4.10 # Maximum resident set size: 3124 pages 17.91/4.10 % E exiting 17.91/4.10 % E exiting 17.91/4.10 EOF