0.02/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n015.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 09:23:04 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.48 Running higher-order theorem proving 0.19/0.51 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.GYevmP0ouz/E---3.1_24706.p 86.12/25.26 # Version: 3.0.0-ho 86.12/25.26 # partial match(1): HSLMSMSSSSLCHSA 86.12/25.26 # Preprocessing class: HSLMSLSSSSLCHSA. 86.12/25.26 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 86.12/25.26 # Starting pre_casc_6 with 1200s (5) cores 86.12/25.26 # Starting ehoh_best7 with 240s (1) cores 86.12/25.26 # Starting new_bool_8 with 240s (1) cores 86.12/25.26 # Starting new_ho_11 with 240s (1) cores 86.12/25.26 # new_bool_8 with pid 24805 completed with status 9 86.12/25.26 # ehoh_best7 with pid 24804 completed with status 0 86.12/25.26 # Result found by ehoh_best7 86.12/25.26 # partial match(1): HSLMSMSSSSLCHSA 86.12/25.26 # Preprocessing class: HSLMSLSSSSLCHSA. 86.12/25.26 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 86.12/25.26 # Starting pre_casc_6 with 1200s (5) cores 86.12/25.26 # Starting ehoh_best7 with 240s (1) cores 86.12/25.26 # No SInE strategy applied 86.12/25.26 # Search class: HGHSM-SMLM33-DHSFFSBC 86.12/25.26 # partial match(1): HGHSM-SMLM32-DHSFFSBC 86.12/25.26 # Scheduled 6 strats onto 1 cores with 221 seconds (221 total) 86.12/25.26 # Starting new_ho_10 with 67s (1) cores 86.12/25.26 # new_ho_10 with pid 25336 completed with status 0 86.12/25.26 # Result found by new_ho_10 86.12/25.26 # partial match(1): HSLMSMSSSSLCHSA 86.12/25.26 # Preprocessing class: HSLMSLSSSSLCHSA. 86.12/25.26 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 86.12/25.26 # Starting pre_casc_6 with 1200s (5) cores 86.12/25.26 # Starting ehoh_best7 with 240s (1) cores 86.12/25.26 # No SInE strategy applied 86.12/25.26 # Search class: HGHSM-SMLM33-DHSFFSBC 86.12/25.26 # partial match(1): HGHSM-SMLM32-DHSFFSBC 86.12/25.26 # Scheduled 6 strats onto 1 cores with 221 seconds (221 total) 86.12/25.26 # Starting new_ho_10 with 67s (1) cores 86.12/25.26 # Preprocessing time : 0.118 s 86.12/25.26 # Presaturation interreduction done 86.12/25.26 86.12/25.26 # Proof found! 86.12/25.26 # SZS status Theorem 86.12/25.26 # SZS output start CNFRefutation 86.12/25.26 thf(decl_24, type, c_False: $o). 86.12/25.26 thf(decl_26, type, c_not: $o > $o). 86.12/25.26 thf(decl_27, type, c_and: $o > $o > $o). 86.12/25.26 thf(decl_29, type, c_iff: $o > $o > $o). 86.12/25.26 thf(decl_30, type, c_In: $i > $i > $o). 86.12/25.26 thf(decl_31, type, c_Subq: $i > $i > $o). 86.12/25.26 thf(decl_32, type, c_Empty: $i). 86.12/25.26 thf(decl_34, type, c_Power: $i > $i). 86.12/25.26 thf(decl_48, type, c_irreflexive_i: ($i > $i > $o) > $o). 86.12/25.26 thf(decl_80, type, c_ordsucc: $i > $i). 86.12/25.26 thf(decl_97, type, c_ap: $i > $i > $i). 86.12/25.26 thf(decl_210, type, epred84_2: $i > $i > $o). 86.12/25.26 thf(decl_258, type, epred132_8: $i > $i > $i > $i > ($i > $o) > ($i > $i) > ($i > $i > $i) > ($i > $o) > $o). 86.12/25.26 thf(decl_259, type, epred133_7: $i > $i > $i > $i > ($i > $o) > $i > ($i > $o) > $o). 86.12/25.26 thf(decl_260, type, epred134_8: $i > $i > $i > $i > ($i > $o) > ($i > $i) > ($i > $i > $i) > ($i > $o) > $o). 86.12/25.26 thf(decl_273, type, esk1_2: $i > $i > $i). 86.12/25.26 thf(decl_277, type, esk5_0: $i). 86.12/25.26 thf(decl_306, type, esk30_1: ($i > $i > $o) > $i). 86.12/25.26 thf(decl_307, type, esk31_1: ($i > $i > $o) > $i). 86.12/25.26 thf(decl_308, type, esk32_0: $i > $i > $i). 86.12/25.26 thf(decl_309, type, epred151_0: $i > $o). 86.12/25.26 thf(decl_310, type, epred152_0: $i > $o). 86.12/25.26 thf(decl_311, type, esk33_0: $i > $i). 86.12/25.26 thf(decl_312, type, esk34_0: $i). 86.12/25.26 thf(decl_313, type, esk35_0: $i). 86.12/25.26 thf(decl_314, type, esk36_0: $i). 86.12/25.26 thf(decl_315, type, esk37_0: $i). 86.12/25.26 thf(decl_316, type, esk38_0: $i). 86.12/25.26 thf(decl_335, type, epred154_2: $o > $o > $o). 86.12/25.26 thf(decl_486, type, esk204_8: ($i > $i > $i) > ($i > $o) > ($i > $o) > ($i > $i) > $i > $i > $i > $i > $i). 86.12/25.26 thf(decl_487, type, esk205_8: ($i > $i > $i) > ($i > $o) > ($i > $o) > ($i > $i) > $i > $i > $i > $i > $i). 86.12/25.26 thf(decl_505, type, epred161_1: ($i > $i > $o) > $i > $o). 86.12/25.26 thf(decl_511, type, esk222_0: $i > $i > $i). 86.12/25.26 thf(decl_515, type, epred166_2: ($i > $o) > $i > $i > $o). 86.12/25.26 thf(ax2, axiom, ![X116:$o]:(((X116)<=(c_not @ ((c_not @ ((X116))))))), file('/export/starexec/sandbox2/tmp/tmp.GYevmP0ouz/E---3.1_24706.p', ax2)). 86.12/25.26 thf(ax13, axiom, ((c_not)=(^[X77:$o]:(((c_False)<=(X77))))), file('/export/starexec/sandbox2/tmp/tmp.GYevmP0ouz/E---3.1_24706.p', ax13)). 86.12/25.26 thf(ax14, axiom, ((c_and)=(^[X156:$o, X157:$o]:(![X158:$o]:((((X156)=>((X157)=>(X158)))=>(X158)))))), file('/export/starexec/sandbox2/tmp/tmp.GYevmP0ouz/E---3.1_24706.p', ax14)). 86.12/25.26 thf(ax30, axiom, ((c_irreflexive_i)=(^[X111:$i > $i > $o]:(![X2:$i]:((c_not @ ((X111 @ X2 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.GYevmP0ouz/E---3.1_24706.p', ax30)). 86.12/25.26 thf(conj, conjecture, (c_not @ (![X117:$i > $i > $o, X118:$i > $i > $i, X119:$i > $o, X120:$i > $o, X121:$i > $i, X122:$i, X123:$i, X124:$i, X125:$i, X126:$i]:((((X123)=(X126))<=(c_and @ (![X127:$i]:((((c_and @ ((X119 @ X127)) @ (((c_and @ (![X128:$i]:(((X126)=(X125)))) @ (?[X129:$i]:((X120 @ X127))))<=((X124)=(X122)))))=>?[X130:$i]:(((X124)=(X124))))<=((X121 @ X126)=(X127))))) @ ((c_not @ ((X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.GYevmP0ouz/E---3.1_24706.p', conj)). 86.12/25.26 thf(ax5, axiom, (c_not @ (?[X1:$i]:((c_In @ X1 @ c_Empty)))), file('/export/starexec/sandbox2/tmp/tmp.GYevmP0ouz/E---3.1_24706.p', ax5)). 86.12/25.26 thf(ax7, axiom, ![X1:$i, X2:$i]:((c_iff @ ((c_In @ X2 @ (c_Power @ X1))) @ ((c_Subq @ X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.GYevmP0ouz/E---3.1_24706.p', ax7)). 86.12/25.26 thf(ax17, axiom, ((c_Subq)=(^[X1:$i, X2:$i]:(![X3:$i]:(((c_In @ X3 @ X2)<=(c_In @ X3 @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.GYevmP0ouz/E---3.1_24706.p', ax17)). 86.12/25.26 thf(ax3, axiom, ![X159:$o, X160:$o]:(((c_iff @ ((X159)) @ ((X160)))=>((X159)<=>(X160)))), file('/export/starexec/sandbox2/tmp/tmp.GYevmP0ouz/E---3.1_24706.p', ax3)). 86.12/25.26 thf(c_0_9, plain, ![X116:$o]:((((~(c_not @ ((X116)))|(c_not @ $true))&((c_not @ ((X116)))|(c_not @ $false)))=>(X116))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax2])])). 86.12/25.26 thf(c_0_10, plain, ![X312:$o]:(((c_not @ ((X312)))<=>((X312)=>(c_False)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])])])). 86.12/25.26 thf(c_0_11, plain, ![X392:$o, X393:$o]:(((c_and @ ((X392)) @ ((X393)))<=>![X158:$o]:((((X392)=>((X393)=>(X158)))=>(X158))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax14])])). 86.12/25.26 thf(c_0_12, plain, ![X325:$i, X2:$i]:(((epred84_2 @ X2 @ X325)<=>((((~(c_Subq @ X325 @ (c_Power @ X2))|~(c_not @ $true))&((c_Subq @ X325 @ (c_Power @ X2))|~(c_not @ $false)))|(c_and @ $false @ $true))&(((~(c_Subq @ X325 @ (c_Power @ X2))|(c_not @ $true))&((c_Subq @ X325 @ (c_Power @ X2))|(c_not @ $false)))|(c_and @ $false @ $false))))), introduced(definition)). 86.12/25.26 thf(c_0_13, plain, ![X680:$o]:((((~(c_not @ ((X680)))|(c_not @ ((X680)))|(X680))&(~(c_not @ $false)|(c_not @ ((X680)))|(X680)))&((~(c_not @ ((X680)))|~(c_not @ $true)|(X680))&(~(c_not @ $false)|~(c_not @ $true)|(X680))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])). 86.12/25.26 thf(c_0_14, plain, ![X598:$o]:(((~(c_not @ ((X598)))|(~(X598)|(c_False)))&(((X598)|(c_not @ ((X598))))&(~(c_False)|(c_not @ ((X598))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])). 86.12/25.26 thf(c_0_15, plain, ![X2012:$i, X2013:$i, X2014:$i > $o]:(((((~(X2014 @ X2012)|(c_and @ $true @ $true)|~(c_In @ X2012 @ X2013)|~(epred166_2 @ X2014 @ X2013 @ X2012))&((X2014 @ X2012)|(c_and @ $true @ $false)|~(c_In @ X2012 @ X2013)|~(epred166_2 @ X2014 @ X2013 @ X2012)))&((~(X2014 @ X2012)|(c_and @ $false @ $true)|(c_In @ X2012 @ X2013)|~(epred166_2 @ X2014 @ X2013 @ X2012))&((X2014 @ X2012)|(c_and @ $false @ $false)|(c_In @ X2012 @ X2013)|~(epred166_2 @ X2014 @ X2013 @ X2012))))&(((~(c_In @ X2012 @ X2013)|(c_In @ X2012 @ X2013)|(epred166_2 @ X2014 @ X2013 @ X2012))&(((~(X2014 @ X2012)|(X2014 @ X2012)|(c_In @ X2012 @ X2013)|(epred166_2 @ X2014 @ X2013 @ X2012))&(~(c_and @ $false @ $false)|(X2014 @ X2012)|(c_In @ X2012 @ X2013)|(epred166_2 @ X2014 @ X2013 @ X2012)))&((~(X2014 @ X2012)|~(c_and @ $false @ $true)|(c_In @ X2012 @ X2013)|(epred166_2 @ X2014 @ X2013 @ X2012))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(c_In @ X2012 @ X2013)|(epred166_2 @ X2014 @ X2013 @ X2012)))))&((((~(c_In @ X2012 @ X2013)|(~(X2014 @ X2012)|(X2014 @ X2012))|(epred166_2 @ X2014 @ X2013 @ X2012))&(((~(X2014 @ X2012)|(X2014 @ X2012)|(~(X2014 @ X2012)|(X2014 @ X2012))|(epred166_2 @ X2014 @ X2013 @ X2012))&(~(c_and @ $false @ $false)|(X2014 @ X2012)|(~(X2014 @ X2012)|(X2014 @ X2012))|(epred166_2 @ X2014 @ X2013 @ X2012)))&((~(X2014 @ X2012)|~(c_and @ $false @ $true)|(~(X2014 @ X2012)|(X2014 @ X2012))|(epred166_2 @ X2014 @ X2013 @ X2012))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(X2014 @ X2012)|(X2014 @ X2012))|(epred166_2 @ X2014 @ X2013 @ X2012)))))&((~(c_In @ X2012 @ X2013)|(~(c_and @ $true @ $false)|(X2014 @ X2012))|(epred166_2 @ X2014 @ X2013 @ X2012))&(((~(X2014 @ X2012)|(X2014 @ X2012)|(~(c_and @ $true @ $false)|(X2014 @ X2012))|(epred166_2 @ X2014 @ X2013 @ X2012))&(~(c_and @ $false @ $false)|(X2014 @ X2012)|(~(c_and @ $true @ $false)|(X2014 @ X2012))|(epred166_2 @ X2014 @ X2013 @ X2012)))&((~(X2014 @ X2012)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|(X2014 @ X2012))|(epred166_2 @ X2014 @ X2013 @ X2012))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|(X2014 @ X2012))|(epred166_2 @ X2014 @ X2013 @ X2012))))))&(((~(c_In @ X2012 @ X2013)|(~(X2014 @ X2012)|~(c_and @ $true @ $true))|(epred166_2 @ X2014 @ X2013 @ X2012))&(((~(X2014 @ X2012)|(X2014 @ X2012)|(~(X2014 @ X2012)|~(c_and @ $true @ $true))|(epred166_2 @ X2014 @ X2013 @ X2012))&(~(c_and @ $false @ $false)|(X2014 @ X2012)|(~(X2014 @ X2012)|~(c_and @ $true @ $true))|(epred166_2 @ X2014 @ X2013 @ X2012)))&((~(X2014 @ X2012)|~(c_and @ $false @ $true)|(~(X2014 @ X2012)|~(c_and @ $true @ $true))|(epred166_2 @ X2014 @ X2013 @ X2012))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(X2014 @ X2012)|~(c_and @ $true @ $true))|(epred166_2 @ X2014 @ X2013 @ X2012)))))&((~(c_In @ X2012 @ X2013)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|(epred166_2 @ X2014 @ X2013 @ X2012))&(((~(X2014 @ X2012)|(X2014 @ X2012)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|(epred166_2 @ X2014 @ X2013 @ X2012))&(~(c_and @ $false @ $false)|(X2014 @ X2012)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|(epred166_2 @ X2014 @ X2013 @ X2012)))&((~(X2014 @ X2012)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|(epred166_2 @ X2014 @ X2013 @ X2012))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|(epred166_2 @ X2014 @ X2013 @ X2012)))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fool_unroll,[status(thm)],[])])])])])). 86.12/25.26 thf(c_0_16, plain, ![X764:$o, X765:$o, X766:$o, X767:$o, X768:$o]:(((((X764)|(X766)|~(c_and @ ((X764)) @ ((X765))))&(((X765)|(X766)|~(c_and @ ((X764)) @ ((X765))))&(~(X766)|(X766)|~(c_and @ ((X764)) @ ((X765))))))&((~(X767)|(~(X768)|(epred154_2 @ X767 @ X768))|(c_and @ ((X767)) @ ((X768))))&(~(epred154_2 @ X767 @ X768)|(c_and @ ((X767)) @ ((X768))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])])])). 86.12/25.26 thf(c_0_17, plain, ![X1535:$i, X1536:$i]:(((((~(c_Subq @ X1535 @ (c_Power @ X1536))|~(c_not @ $true)|(c_and @ $false @ $true)|~(epred84_2 @ X1536 @ X1535))&((c_Subq @ X1535 @ (c_Power @ X1536))|~(c_not @ $false)|(c_and @ $false @ $true)|~(epred84_2 @ X1536 @ X1535)))&((~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_not @ $true)|(c_and @ $false @ $false)|~(epred84_2 @ X1536 @ X1535))&((c_Subq @ X1535 @ (c_Power @ X1536))|(c_not @ $false)|(c_and @ $false @ $false)|~(epred84_2 @ X1536 @ X1535))))&(((((((~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_Subq @ X1535 @ (c_Power @ X1536))|(~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_Subq @ X1535 @ (c_Power @ X1536)))|(epred84_2 @ X1536 @ X1535))&(~(c_not @ $false)|(c_Subq @ X1535 @ (c_Power @ X1536))|(~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_Subq @ X1535 @ (c_Power @ X1536)))|(epred84_2 @ X1536 @ X1535)))&((~(c_Subq @ X1535 @ (c_Power @ X1536))|~(c_not @ $true)|(~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_Subq @ X1535 @ (c_Power @ X1536)))|(epred84_2 @ X1536 @ X1535))&(~(c_not @ $false)|~(c_not @ $true)|(~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_Subq @ X1535 @ (c_Power @ X1536)))|(epred84_2 @ X1536 @ X1535))))&(~(c_and @ $false @ $false)|(~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_Subq @ X1535 @ (c_Power @ X1536)))|(epred84_2 @ X1536 @ X1535)))&((((~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_Subq @ X1535 @ (c_Power @ X1536))|((c_not @ $false)|(c_Subq @ X1535 @ (c_Power @ X1536)))|(epred84_2 @ X1536 @ X1535))&(~(c_not @ $false)|(c_Subq @ X1535 @ (c_Power @ X1536))|((c_not @ $false)|(c_Subq @ X1535 @ (c_Power @ X1536)))|(epred84_2 @ X1536 @ X1535)))&((~(c_Subq @ X1535 @ (c_Power @ X1536))|~(c_not @ $true)|((c_not @ $false)|(c_Subq @ X1535 @ (c_Power @ X1536)))|(epred84_2 @ X1536 @ X1535))&(~(c_not @ $false)|~(c_not @ $true)|((c_not @ $false)|(c_Subq @ X1535 @ (c_Power @ X1536)))|(epred84_2 @ X1536 @ X1535))))&(~(c_and @ $false @ $false)|((c_not @ $false)|(c_Subq @ X1535 @ (c_Power @ X1536)))|(epred84_2 @ X1536 @ X1535))))&(((((~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_Subq @ X1535 @ (c_Power @ X1536))|(~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_not @ $true))|(epred84_2 @ X1536 @ X1535))&(~(c_not @ $false)|(c_Subq @ X1535 @ (c_Power @ X1536))|(~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_not @ $true))|(epred84_2 @ X1536 @ X1535)))&((~(c_Subq @ X1535 @ (c_Power @ X1536))|~(c_not @ $true)|(~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_not @ $true))|(epred84_2 @ X1536 @ X1535))&(~(c_not @ $false)|~(c_not @ $true)|(~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_not @ $true))|(epred84_2 @ X1536 @ X1535))))&(~(c_and @ $false @ $false)|(~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_not @ $true))|(epred84_2 @ X1536 @ X1535)))&((((~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_Subq @ X1535 @ (c_Power @ X1536))|((c_not @ $false)|(c_not @ $true))|(epred84_2 @ X1536 @ X1535))&(~(c_not @ $false)|(c_Subq @ X1535 @ (c_Power @ X1536))|((c_not @ $false)|(c_not @ $true))|(epred84_2 @ X1536 @ X1535)))&((~(c_Subq @ X1535 @ (c_Power @ X1536))|~(c_not @ $true)|((c_not @ $false)|(c_not @ $true))|(epred84_2 @ X1536 @ X1535))&(~(c_not @ $false)|~(c_not @ $true)|((c_not @ $false)|(c_not @ $true))|(epred84_2 @ X1536 @ X1535))))&(~(c_and @ $false @ $false)|((c_not @ $false)|(c_not @ $true))|(epred84_2 @ X1536 @ X1535)))))&((((~(c_Subq @ X1535 @ (c_Power @ X1536))|(c_Subq @ X1535 @ (c_Power @ X1536))|~(c_and @ $false @ $true)|(epred84_2 @ X1536 @ X1535))&(~(c_not @ $false)|(c_Subq @ X1535 @ (c_Power @ X1536))|~(c_and @ $false @ $true)|(epred84_2 @ X1536 @ X1535)))&((~(c_Subq @ X1535 @ (c_Power @ X1536))|~(c_not @ $true)|~(c_and @ $false @ $true)|(epred84_2 @ X1536 @ X1535))&(~(c_not @ $false)|~(c_not @ $true)|~(c_and @ $false @ $true)|(epred84_2 @ X1536 @ X1535))))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(epred84_2 @ X1536 @ X1535)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])). 86.12/25.26 thf(c_0_18, plain, (~((c_not @ (~($true))))|~((c_not @ (($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_13])])])). 86.12/25.26 thf(c_0_19, plain, (c_not @ (~($true))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_14])])])). 86.12/25.26 thf(c_0_20, plain, ![X2001:$i]:(((esk222_0 @ X2001)=(c_ordsucc))), inference(variable_rename,[status(thm)],[])). 86.12/25.26 thf(c_0_21, plain, ![X25:$i > $o, X2:$i, X1:$i]:(((c_and @ (~($true)) @ (($true)))|(c_In @ X1 @ X2)|~((X25 @ X1))|~((epred166_2 @ X25 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_15])). 86.12/25.26 thf(c_0_22, plain, ![X42:$o]:(~((c_and @ (~($true)) @ ((X42))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_16])])])). 86.12/25.26 thf(c_0_23, plain, ![X360:$i > $i > $o]:(((c_irreflexive_i @ X360)<=>![X2:$i]:(((~(X360 @ X2 @ X2)|(c_not @ $true))&((X360 @ X2 @ X2)|(c_not @ $false)))))), inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax30])])])). 86.12/25.26 thf(c_0_24, plain, ![X118:$i > $i > $i, X119:$i > $o, X120:$i > $o, X121:$i > $i, X126:$i, X125:$i, X124:$i, X122:$i]:(((epred134_8 @ X122 @ X124 @ X125 @ X126 @ X120 @ X121 @ X118 @ X119)<=>(![X127:$i]:((((X121 @ X126)=(X127))=>(((~(X119 @ X127)|((~((((X124)=(X122))=>((~(![X128:$i]:(((X126)=(X125))))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $true @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $true @ $false))))&(![X128:$i]:(((X126)=(X125)))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $false @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $false @ $false)))))))|(c_and @ $true @ $true))&((((X124)=(X122))=>((~(![X128:$i]:(((X126)=(X125))))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $true @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $true @ $false))))&(![X128:$i]:(((X126)=(X125)))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $false @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $false @ $false))))))|(c_and @ $true @ $false))))&((X119 @ X127)|((~((((X124)=(X122))=>((~(![X128:$i]:(((X126)=(X125))))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $true @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $true @ $false))))&(![X128:$i]:(((X126)=(X125)))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $false @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $false @ $false)))))))|(c_and @ $false @ $true))&((((X124)=(X122))=>((~(![X128:$i]:(((X126)=(X125))))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $true @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $true @ $false))))&(![X128:$i]:(((X126)=(X125)))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $false @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $false @ $false))))))|(c_and @ $false @ $false)))))=>?[X130:$i]:(((X124)=(X124))))))|((((~(X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|~(c_not @ $true))&((X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|~(c_not @ $false)))|(c_and @ $false @ $true))&(((~(X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|(c_not @ $true))&((X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|(c_not @ $false)))|(c_and @ $false @ $false)))))), introduced(definition)). 86.12/25.26 thf(c_0_25, plain, ![X119:$i > $o, X120:$i > $o, X122:$i, X124:$i, X125:$i, X126:$i, X127:$i]:(((epred133_7 @ X127 @ X124 @ X126 @ X125 @ X120 @ X122 @ X119)<=>((~(X119 @ X127)|((~((((X124)=(X122))=>((~(![X128:$i]:(((X126)=(X125))))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $true @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $true @ $false))))&(![X128:$i]:(((X126)=(X125)))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $false @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $false @ $false)))))))|(c_and @ $true @ $true))&((((X124)=(X122))=>((~(![X128:$i]:(((X126)=(X125))))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $true @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $true @ $false))))&(![X128:$i]:(((X126)=(X125)))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $false @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $false @ $false))))))|(c_and @ $true @ $false))))&((X119 @ X127)|((~((((X124)=(X122))=>((~(![X128:$i]:(((X126)=(X125))))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $true @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $true @ $false))))&(![X128:$i]:(((X126)=(X125)))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $false @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $false @ $false)))))))|(c_and @ $false @ $true))&((((X124)=(X122))=>((~(![X128:$i]:(((X126)=(X125))))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $true @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $true @ $false))))&(![X128:$i]:(((X126)=(X125)))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $false @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $false @ $false))))))|(c_and @ $false @ $false))))))), introduced(definition)). 86.12/25.26 thf(c_0_26, plain, ![X118:$i > $i > $i, X119:$i > $o, X120:$i > $o, X121:$i > $i, X126:$i, X125:$i, X124:$i, X122:$i]:(((epred132_8 @ X122 @ X124 @ X125 @ X126 @ X120 @ X121 @ X118 @ X119)<=>(~(![X127:$i]:((((X121 @ X126)=(X127))=>(((~(X119 @ X127)|((~((((X124)=(X122))=>((~(![X128:$i]:(((X126)=(X125))))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $true @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $true @ $false))))&(![X128:$i]:(((X126)=(X125)))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $false @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $false @ $false)))))))|(c_and @ $true @ $true))&((((X124)=(X122))=>((~(![X128:$i]:(((X126)=(X125))))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $true @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $true @ $false))))&(![X128:$i]:(((X126)=(X125)))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $false @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $false @ $false))))))|(c_and @ $true @ $false))))&((X119 @ X127)|((~((((X124)=(X122))=>((~(![X128:$i]:(((X126)=(X125))))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $true @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $true @ $false))))&(![X128:$i]:(((X126)=(X125)))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $false @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $false @ $false)))))))|(c_and @ $false @ $true))&((((X124)=(X122))=>((~(![X128:$i]:(((X126)=(X125))))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $true @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $true @ $false))))&(![X128:$i]:(((X126)=(X125)))|((~(?[X129:$i]:((X120 @ X127)))|(c_and @ $false @ $true))&(?[X129:$i]:((X120 @ X127))|(c_and @ $false @ $false))))))|(c_and @ $false @ $false)))))=>?[X130:$i]:(((X124)=(X124)))))))|((((~(X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|~(c_not @ $true))&((X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|~(c_not @ $false)))|(c_and @ $true @ $true))&(((~(X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|(c_not @ $true))&((X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|(c_not @ $false)))|(c_and @ $true @ $false)))))), introduced(definition)). 86.12/25.26 thf(c_0_27, plain, ![X2:$i, X1:$i]:(((c_not @ (($true)))|(c_and @ (~($true)) @ (~($true)))|~((c_Subq @ X1 @ (c_Power @ X2)))|~((epred84_2 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_17])). 86.12/25.26 thf(c_0_28, plain, ![X42:$o]:(~((c_and @ ((X42)) @ (~($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_16])])])). 86.12/25.26 thf(c_0_29, plain, ~((c_not @ (($true)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])])). 86.12/25.26 thf(c_0_30, plain, ![X1984:$i, X1985:$i > $i > $o]:(((~(epred161_1 @ X1985 @ X1984)|(X1985 @ (c_ap @ X1984 @ c_Empty) @ (c_ap @ X1984 @ (c_ordsucc @ c_Empty))))&(~(X1985 @ (c_ap @ X1984 @ c_Empty) @ (c_ap @ X1984 @ (c_ordsucc @ c_Empty)))|(epred161_1 @ X1985 @ X1984)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])). 86.12/25.26 thf(c_0_31, plain, ![X1:$i]:(((esk222_0 @ X1)=(c_ordsucc))), inference(split_conjunct,[status(thm)],[c_0_20])). 86.12/25.26 thf(c_0_32, plain, ![X25:$i > $o, X2:$i, X1:$i]:(((X25 @ X1)|(c_and @ (($true)) @ (~($true)))|~((c_In @ X1 @ X2))|~((epred166_2 @ X25 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_15])). 86.12/25.26 thf(c_0_33, plain, ![X25:$i > $o, X2:$i, X1:$i]:(((X25 @ X1)|(c_and @ (~($true)) @ (~($true)))|(c_In @ X1 @ X2)|~((epred166_2 @ X25 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_15])). 86.12/25.26 thf(c_0_34, plain, ![X25:$i > $o, X2:$i, X1:$i]:(((c_In @ X1 @ X2)|~((epred166_2 @ X25 @ X2 @ X1))|~((X25 @ X1)))), inference(sr,[status(thm)],[c_0_21, c_0_22])). 86.12/25.26 thf(c_0_35, plain, ![X658:$i > $i > $o, X659:$i, X660:$i, X661:$i > $i > $o]:((((~(X658 @ X659 @ X659)|(c_not @ $true)|~(c_irreflexive_i @ X658))&((X658 @ X660 @ X660)|(c_not @ $false)|~(c_irreflexive_i @ X658)))&(((~(X661 @ (esk31_1 @ X661) @ (esk31_1 @ X661))|(X661 @ (esk30_1 @ X661) @ (esk30_1 @ X661))|(c_irreflexive_i @ X661))&(~(c_not @ $false)|(X661 @ (esk30_1 @ X661) @ (esk30_1 @ X661))|(c_irreflexive_i @ X661)))&((~(X661 @ (esk31_1 @ X661) @ (esk31_1 @ X661))|~(c_not @ $true)|(c_irreflexive_i @ X661))&(~(c_not @ $false)|~(c_not @ $true)|(c_irreflexive_i @ X661)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])])])])). 86.12/25.26 thf(c_0_36, plain, ![X118:$i > $i > $i, X119:$i > $o, X120:$i > $o, X121:$i > $i, X126:$i, X125:$i, X124:$i, X122:$i]:(((epred134_8 @ X122 @ X124 @ X125 @ X126 @ X120 @ X121 @ X118 @ X119)<=>(![X127:$i]:((((X121 @ X126)=(X127))=>((epred133_7 @ X127 @ X124 @ X126 @ X125 @ X120 @ X122 @ X119)=>?[X130:$i]:(((X124)=(X124))))))|((((~(X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|~(c_not @ $true))&((X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|~(c_not @ $false)))|(c_and @ $false @ $true))&(((~(X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|(c_not @ $true))&((X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|(c_not @ $false)))|(c_and @ $false @ $false)))))), inference(apply_def,[status(thm)],[c_0_24, c_0_25])). 86.12/25.26 thf(c_0_37, plain, ![X118:$i > $i > $i, X119:$i > $o, X120:$i > $o, X121:$i > $i, X126:$i, X125:$i, X124:$i, X122:$i]:(((epred132_8 @ X122 @ X124 @ X125 @ X126 @ X120 @ X121 @ X118 @ X119)<=>(~(![X127:$i]:((((X121 @ X126)=(X127))=>((epred133_7 @ X127 @ X124 @ X126 @ X125 @ X120 @ X122 @ X119)=>?[X130:$i]:(((X124)=(X124)))))))|((((~(X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|~(c_not @ $true))&((X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|~(c_not @ $false)))|(c_and @ $true @ $true))&(((~(X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|(c_not @ $true))&((X120 @ (X121 @ (X121 @ (X118 @ X124 @ X122))))|(c_not @ $false)))|(c_and @ $true @ $false)))))), inference(apply_def,[status(thm)],[c_0_26, c_0_25])). 86.12/25.26 thf(c_0_38, plain, ![X2:$i, X1:$i]:(((c_Subq @ X1 @ (c_Power @ X2))|(c_and @ (~($true)) @ (($true)))|~((c_not @ (~($true))))|~((epred84_2 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_17])). 86.12/25.26 thf(c_0_39, plain, ![X2:$i, X1:$i]:((~((c_Subq @ X1 @ (c_Power @ X2)))|~((epred84_2 @ X2 @ X1)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_27, c_0_28]), c_0_29])). 86.12/25.26 thf(c_0_40, plain, ![X27:$i > $i > $o, X1:$i]:(((X27 @ (c_ap @ X1 @ c_Empty) @ (c_ap @ X1 @ (c_ordsucc @ c_Empty)))|~((epred161_1 @ X27 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_30])). 86.12/25.26 thf(c_0_41, plain, ![X1:$i, X2:$i]:(((esk222_0 @ X1 @ X2)=(c_ordsucc @ X2))), inference(arg_cong,[status(thm)],[c_0_31])). 86.12/25.26 thf(c_0_42, plain, ![X1:$i, X25:$i > $o, X2:$i]:(((X25 @ X1)|~((epred166_2 @ X25 @ X2 @ X1))|~((c_In @ X1 @ X2)))), inference(sr,[status(thm)],[c_0_32, c_0_28])). 86.12/25.26 thf(c_0_43, plain, ![X25:$i > $o, X2:$i, X1:$i]:(((c_In @ X1 @ X2)|~((epred166_2 @ X25 @ X2 @ X1)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_33, c_0_28]), c_0_34])). 86.12/25.26 thf(c_0_44, plain, ![X27:$i > $i > $o]:(((X27 @ (esk30_1 @ X27) @ (esk30_1 @ X27))|(c_irreflexive_i @ X27)|~((c_not @ (~($true)))))), inference(split_conjunct,[status(thm)],[c_0_35])). 86.12/25.26 thf(c_0_45, negated_conjecture, ~(((~(![X117:$i > $i > $o, X118:$i > $i > $i, X119:$i > $o, X120:$i > $o, X121:$i > $i, X122:$i, X123:$i, X124:$i, X125:$i, X126:$i]:((((epred132_8 @ X122 @ X124 @ X125 @ X126 @ X120 @ X121 @ X118 @ X119)&(epred134_8 @ X122 @ X124 @ X125 @ X126 @ X120 @ X121 @ X118 @ X119))=>((X123)=(X126)))))|(c_not @ $true))&(![X117:$i > $i > $o, X118:$i > $i > $i, X119:$i > $o, X120:$i > $o, X121:$i > $i, X122:$i, X123:$i, X124:$i, X125:$i, X126:$i]:((((epred132_8 @ X122 @ X124 @ X125 @ X126 @ X120 @ X121 @ X118 @ X119)&(epred134_8 @ X122 @ X124 @ X125 @ X126 @ X120 @ X121 @ X118 @ X119))=>((X123)=(X126))))|(c_not @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[conj])])]), c_0_26]), c_0_24]), c_0_26]), c_0_24])). 86.12/25.26 thf(c_0_46, plain, ![X1841:$i > $i > $i, X1842:$i > $o, X1843:$i > $o, X1844:$i > $i, X1845:$i, X1846:$i, X1847:$i, X1848:$i, X1849:$i, X1850:$i > $i > $i, X1851:$i > $o, X1852:$i > $o, X1853:$i > $i, X1854:$i, X1855:$i, X1856:$i, X1857:$i]:(((((~(X1843 @ (X1844 @ (X1844 @ (X1841 @ X1847 @ X1848))))|~(c_not @ $true)|(c_and @ $false @ $true)|(((X1844 @ X1845)!=(X1849))|(~(epred133_7 @ X1849 @ X1847 @ X1845 @ X1846 @ X1843 @ X1848 @ X1842)|((X1847)=(X1847))))|~(epred134_8 @ X1848 @ X1847 @ X1846 @ X1845 @ X1843 @ X1844 @ X1841 @ X1842))&((X1843 @ (X1844 @ (X1844 @ (X1841 @ X1847 @ X1848))))|~(c_not @ $false)|(c_and @ $false @ $true)|(((X1844 @ X1845)!=(X1849))|(~(epred133_7 @ X1849 @ X1847 @ X1845 @ X1846 @ X1843 @ X1848 @ X1842)|((X1847)=(X1847))))|~(epred134_8 @ X1848 @ X1847 @ X1846 @ X1845 @ X1843 @ X1844 @ X1841 @ X1842)))&((~(X1843 @ (X1844 @ (X1844 @ (X1841 @ X1847 @ X1848))))|(c_not @ $true)|(c_and @ $false @ $false)|(((X1844 @ X1845)!=(X1849))|(~(epred133_7 @ X1849 @ X1847 @ X1845 @ X1846 @ X1843 @ X1848 @ X1842)|((X1847)=(X1847))))|~(epred134_8 @ X1848 @ X1847 @ X1846 @ X1845 @ X1843 @ X1844 @ X1841 @ X1842))&((X1843 @ (X1844 @ (X1844 @ (X1841 @ X1847 @ X1848))))|(c_not @ $false)|(c_and @ $false @ $false)|(((X1844 @ X1845)!=(X1849))|(~(epred133_7 @ X1849 @ X1847 @ X1845 @ X1846 @ X1843 @ X1848 @ X1842)|((X1847)=(X1847))))|~(epred134_8 @ X1848 @ X1847 @ X1846 @ X1845 @ X1843 @ X1844 @ X1841 @ X1842))))&(((((X1853 @ X1854)=(esk205_8 @ X1850 @ X1851 @ X1852 @ X1853 @ X1854 @ X1855 @ X1856 @ X1857))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))&(((epred133_7 @ (esk205_8 @ X1850 @ X1851 @ X1852 @ X1853 @ X1854 @ X1855 @ X1856 @ X1857) @ X1856 @ X1854 @ X1855 @ X1852 @ X1857 @ X1851)|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))&(((X1856)!=(X1856))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))))&(((((((~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857)))))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))&(~(c_not @ $false)|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857)))))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851)))&((~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|~(c_not @ $true)|(~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857)))))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))&(~(c_not @ $false)|~(c_not @ $true)|(~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857)))))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))))&(~(c_and @ $false @ $false)|(~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857)))))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851)))&((((~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|((c_not @ $false)|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857)))))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))&(~(c_not @ $false)|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|((c_not @ $false)|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857)))))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851)))&((~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|~(c_not @ $true)|((c_not @ $false)|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857)))))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))&(~(c_not @ $false)|~(c_not @ $true)|((c_not @ $false)|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857)))))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))))&(~(c_and @ $false @ $false)|((c_not @ $false)|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857)))))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))))&(((((~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(c_not @ $true))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))&(~(c_not @ $false)|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(c_not @ $true))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851)))&((~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|~(c_not @ $true)|(~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(c_not @ $true))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))&(~(c_not @ $false)|~(c_not @ $true)|(~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(c_not @ $true))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))))&(~(c_and @ $false @ $false)|(~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(c_not @ $true))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851)))&((((~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|((c_not @ $false)|(c_not @ $true))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))&(~(c_not @ $false)|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|((c_not @ $false)|(c_not @ $true))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851)))&((~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|~(c_not @ $true)|((c_not @ $false)|(c_not @ $true))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))&(~(c_not @ $false)|~(c_not @ $true)|((c_not @ $false)|(c_not @ $true))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))))&(~(c_and @ $false @ $false)|((c_not @ $false)|(c_not @ $true))|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851)))))&((((~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|~(c_and @ $false @ $true)|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))&(~(c_not @ $false)|(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|~(c_and @ $false @ $true)|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851)))&((~(X1852 @ (X1853 @ (X1853 @ (X1850 @ X1856 @ X1857))))|~(c_not @ $true)|~(c_and @ $false @ $true)|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))&(~(c_not @ $false)|~(c_not @ $true)|~(c_and @ $false @ $true)|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(epred134_8 @ X1857 @ X1856 @ X1855 @ X1854 @ X1852 @ X1853 @ X1850 @ X1851))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_36])])])])])])])])). 86.12/25.26 thf(c_0_47, plain, ![X1816:$i > $i > $i, X1817:$i > $o, X1818:$i > $o, X1819:$i > $i, X1820:$i, X1821:$i, X1822:$i, X1823:$i, X1825:$i > $i > $i, X1826:$i > $o, X1827:$i > $o, X1828:$i > $i, X1829:$i, X1830:$i, X1831:$i, X1832:$i, X1833:$i]:((((((~(X1818 @ (X1819 @ (X1819 @ (X1816 @ X1822 @ X1823))))|~(c_not @ $true)|(c_and @ $true @ $true)|((X1819 @ X1820)=(esk204_8 @ X1816 @ X1817 @ X1818 @ X1819 @ X1820 @ X1821 @ X1822 @ X1823))|~(epred132_8 @ X1823 @ X1822 @ X1821 @ X1820 @ X1818 @ X1819 @ X1816 @ X1817))&((X1818 @ (X1819 @ (X1819 @ (X1816 @ X1822 @ X1823))))|~(c_not @ $false)|(c_and @ $true @ $true)|((X1819 @ X1820)=(esk204_8 @ X1816 @ X1817 @ X1818 @ X1819 @ X1820 @ X1821 @ X1822 @ X1823))|~(epred132_8 @ X1823 @ X1822 @ X1821 @ X1820 @ X1818 @ X1819 @ X1816 @ X1817)))&((~(X1818 @ (X1819 @ (X1819 @ (X1816 @ X1822 @ X1823))))|(c_not @ $true)|(c_and @ $true @ $false)|((X1819 @ X1820)=(esk204_8 @ X1816 @ X1817 @ X1818 @ X1819 @ X1820 @ X1821 @ X1822 @ X1823))|~(epred132_8 @ X1823 @ X1822 @ X1821 @ X1820 @ X1818 @ X1819 @ X1816 @ X1817))&((X1818 @ (X1819 @ (X1819 @ (X1816 @ X1822 @ X1823))))|(c_not @ $false)|(c_and @ $true @ $false)|((X1819 @ X1820)=(esk204_8 @ X1816 @ X1817 @ X1818 @ X1819 @ X1820 @ X1821 @ X1822 @ X1823))|~(epred132_8 @ X1823 @ X1822 @ X1821 @ X1820 @ X1818 @ X1819 @ X1816 @ X1817))))&((((~(X1818 @ (X1819 @ (X1819 @ (X1816 @ X1822 @ X1823))))|~(c_not @ $true)|(c_and @ $true @ $true)|(epred133_7 @ (esk204_8 @ X1816 @ X1817 @ X1818 @ X1819 @ X1820 @ X1821 @ X1822 @ X1823) @ X1822 @ X1820 @ X1821 @ X1818 @ X1823 @ X1817)|~(epred132_8 @ X1823 @ X1822 @ X1821 @ X1820 @ X1818 @ X1819 @ X1816 @ X1817))&((X1818 @ (X1819 @ (X1819 @ (X1816 @ X1822 @ X1823))))|~(c_not @ $false)|(c_and @ $true @ $true)|(epred133_7 @ (esk204_8 @ X1816 @ X1817 @ X1818 @ X1819 @ X1820 @ X1821 @ X1822 @ X1823) @ X1822 @ X1820 @ X1821 @ X1818 @ X1823 @ X1817)|~(epred132_8 @ X1823 @ X1822 @ X1821 @ X1820 @ X1818 @ X1819 @ X1816 @ X1817)))&((~(X1818 @ (X1819 @ (X1819 @ (X1816 @ X1822 @ X1823))))|(c_not @ $true)|(c_and @ $true @ $false)|(epred133_7 @ (esk204_8 @ X1816 @ X1817 @ X1818 @ X1819 @ X1820 @ X1821 @ X1822 @ X1823) @ X1822 @ X1820 @ X1821 @ X1818 @ X1823 @ X1817)|~(epred132_8 @ X1823 @ X1822 @ X1821 @ X1820 @ X1818 @ X1819 @ X1816 @ X1817))&((X1818 @ (X1819 @ (X1819 @ (X1816 @ X1822 @ X1823))))|(c_not @ $false)|(c_and @ $true @ $false)|(epred133_7 @ (esk204_8 @ X1816 @ X1817 @ X1818 @ X1819 @ X1820 @ X1821 @ X1822 @ X1823) @ X1822 @ X1820 @ X1821 @ X1818 @ X1823 @ X1817)|~(epred132_8 @ X1823 @ X1822 @ X1821 @ X1820 @ X1818 @ X1819 @ X1816 @ X1817))))&(((~(X1818 @ (X1819 @ (X1819 @ (X1816 @ X1822 @ X1823))))|~(c_not @ $true)|(c_and @ $true @ $true)|((X1822)!=(X1822))|~(epred132_8 @ X1823 @ X1822 @ X1821 @ X1820 @ X1818 @ X1819 @ X1816 @ X1817))&((X1818 @ (X1819 @ (X1819 @ (X1816 @ X1822 @ X1823))))|~(c_not @ $false)|(c_and @ $true @ $true)|((X1822)!=(X1822))|~(epred132_8 @ X1823 @ X1822 @ X1821 @ X1820 @ X1818 @ X1819 @ X1816 @ X1817)))&((~(X1818 @ (X1819 @ (X1819 @ (X1816 @ X1822 @ X1823))))|(c_not @ $true)|(c_and @ $true @ $false)|((X1822)!=(X1822))|~(epred132_8 @ X1823 @ X1822 @ X1821 @ X1820 @ X1818 @ X1819 @ X1816 @ X1817))&((X1818 @ (X1819 @ (X1819 @ (X1816 @ X1822 @ X1823))))|(c_not @ $false)|(c_and @ $true @ $false)|((X1822)!=(X1822))|~(epred132_8 @ X1823 @ X1822 @ X1821 @ X1820 @ X1818 @ X1819 @ X1816 @ X1817))))))&((((X1828 @ X1829)!=(X1833))|(~(epred133_7 @ X1833 @ X1831 @ X1829 @ X1830 @ X1827 @ X1832 @ X1826)|((X1831)=(X1831)))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))&(((((((~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832)))))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))&(~(c_not @ $false)|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832)))))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826)))&((~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|~(c_not @ $true)|(~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832)))))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))&(~(c_not @ $false)|~(c_not @ $true)|(~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832)))))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))))&(~(c_and @ $true @ $false)|(~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832)))))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826)))&((((~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|((c_not @ $false)|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832)))))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))&(~(c_not @ $false)|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|((c_not @ $false)|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832)))))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826)))&((~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|~(c_not @ $true)|((c_not @ $false)|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832)))))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))&(~(c_not @ $false)|~(c_not @ $true)|((c_not @ $false)|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832)))))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))))&(~(c_and @ $true @ $false)|((c_not @ $false)|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832)))))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))))&(((((~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(c_not @ $true))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))&(~(c_not @ $false)|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(c_not @ $true))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826)))&((~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|~(c_not @ $true)|(~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(c_not @ $true))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))&(~(c_not @ $false)|~(c_not @ $true)|(~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(c_not @ $true))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))))&(~(c_and @ $true @ $false)|(~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(c_not @ $true))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826)))&((((~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|((c_not @ $false)|(c_not @ $true))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))&(~(c_not @ $false)|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|((c_not @ $false)|(c_not @ $true))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826)))&((~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|~(c_not @ $true)|((c_not @ $false)|(c_not @ $true))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))&(~(c_not @ $false)|~(c_not @ $true)|((c_not @ $false)|(c_not @ $true))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))))&(~(c_and @ $true @ $false)|((c_not @ $false)|(c_not @ $true))|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826)))))&((((~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|~(c_and @ $true @ $true)|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))&(~(c_not @ $false)|(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|~(c_and @ $true @ $true)|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826)))&((~(X1827 @ (X1828 @ (X1828 @ (X1825 @ X1831 @ X1832))))|~(c_not @ $true)|~(c_and @ $true @ $true)|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))&(~(c_not @ $false)|~(c_not @ $true)|~(c_and @ $true @ $true)|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))))&(~(c_and @ $true @ $false)|~(c_and @ $true @ $true)|(epred132_8 @ X1832 @ X1831 @ X1830 @ X1829 @ X1827 @ X1828 @ X1825 @ X1826))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_37])])])])])])])])). 86.12/25.26 thf(c_0_48, plain, ![X1:$i, X2:$i]:(~((epred84_2 @ X1 @ X2))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_19])]), c_0_22]), c_0_39])). 86.12/25.26 thf(c_0_49, plain, ![X27:$i > $i > $o, X1:$i]:(((X27 @ (c_ap @ X1 @ c_Empty) @ (c_ap @ X1 @ (esk222_0 @ c_Empty @ c_Empty)))|~((epred161_1 @ X27 @ X1)))), inference(rw,[status(thm)],[c_0_40, c_0_41])). 86.12/25.26 thf(c_0_50, plain, ![X25:$i > $o, X2:$i, X1:$i]:(((X25 @ X1)|~((epred166_2 @ X25 @ X2 @ X1)))), inference(csr,[status(thm)],[c_0_42, c_0_43])). 86.12/25.26 thf(c_0_51, plain, ![X27:$i > $i > $o]:(((X27 @ (esk30_1 @ X27) @ (esk30_1 @ X27))|(c_irreflexive_i @ X27))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_19])])). 86.12/25.26 thf(c_0_52, negated_conjecture, ![X684:$i > $i > $i, X685:$i > $o, X686:$i > $o, X687:$i > $i, X688:$i, X689:$i, X690:$i, X691:$i, X692:$i]:(((((((epred132_8 @ esk34_0 @ esk36_0 @ esk37_0 @ esk38_0 @ epred152_0 @ esk33_0 @ esk32_0 @ epred151_0)|(~(epred132_8 @ X688 @ X690 @ X691 @ X692 @ X686 @ X687 @ X684 @ X685)|~(epred134_8 @ X688 @ X690 @ X691 @ X692 @ X686 @ X687 @ X684 @ X685)|((X689)=(X692))))&((epred134_8 @ esk34_0 @ esk36_0 @ esk37_0 @ esk38_0 @ epred152_0 @ esk33_0 @ esk32_0 @ epred151_0)|(~(epred132_8 @ X688 @ X690 @ X691 @ X692 @ X686 @ X687 @ X684 @ X685)|~(epred134_8 @ X688 @ X690 @ X691 @ X692 @ X686 @ X687 @ X684 @ X685)|((X689)=(X692)))))&(((esk35_0)!=(esk38_0))|(~(epred132_8 @ X688 @ X690 @ X691 @ X692 @ X686 @ X687 @ X684 @ X685)|~(epred134_8 @ X688 @ X690 @ X691 @ X692 @ X686 @ X687 @ X684 @ X685)|((X689)=(X692)))))&(~(c_not @ $false)|(~(epred132_8 @ X688 @ X690 @ X691 @ X692 @ X686 @ X687 @ X684 @ X685)|~(epred134_8 @ X688 @ X690 @ X691 @ X692 @ X686 @ X687 @ X684 @ X685)|((X689)=(X692)))))&(((((epred132_8 @ esk34_0 @ esk36_0 @ esk37_0 @ esk38_0 @ epred152_0 @ esk33_0 @ esk32_0 @ epred151_0)|~(c_not @ $true))&((epred134_8 @ esk34_0 @ esk36_0 @ esk37_0 @ esk38_0 @ epred152_0 @ esk33_0 @ esk32_0 @ epred151_0)|~(c_not @ $true)))&(((esk35_0)!=(esk38_0))|~(c_not @ $true)))&(~(c_not @ $false)|~(c_not @ $true))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_45])])])])])])])). 86.12/25.26 thf(c_0_53, plain, ![X2:$i, X7:$i, X4:$i > $i > $i, X3:$i, X31:$i > $i, X28:$i > $o, X25:$i > $o, X1:$i]:(((epred134_8 @ X2 @ X1 @ X3 @ X7 @ X25 @ X31 @ X4 @ X28)|((X1)!=(X1)))), inference(split_conjunct,[status(thm)],[c_0_46])). 86.12/25.26 thf(c_0_54, plain, ![X1:$i, X2:$i, X3:$i, X7:$i, X4:$i > $i > $i, X25:$i > $o, X31:$i > $i, X28:$i > $o]:(((X25 @ (X31 @ (X31 @ (X4 @ X1 @ X2))))|(epred132_8 @ X2 @ X1 @ X3 @ X7 @ X25 @ X31 @ X4 @ X28)|~((c_not @ (~($true))))|~((c_and @ (($true)) @ (($true)))))), inference(split_conjunct,[status(thm)],[c_0_47])). 86.12/25.26 thf(c_0_55, plain, ![X40:$o, X41:$o]:(((c_and @ ((X40)) @ ((X41)))|~((epred154_2 @ ((X40)) @ ((X41)))))), inference(split_conjunct,[status(thm)],[c_0_16])). 86.12/25.26 thf(c_0_56, plain, ((epred154_2 @ (($true)) @ (($true)))|(c_and @ (($true)) @ (($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_16])])])). 86.12/25.26 thf(c_0_57, axiom, ((~(?[X1:$i]:((c_In @ X1 @ c_Empty)))|(c_not @ $true))&(?[X1:$i]:((c_In @ X1 @ c_Empty))|(c_not @ $false))), inference(fool_unroll,[status(thm)],[ax5])). 86.12/25.26 thf(c_0_58, axiom, ![X1:$i, X2:$i]:(((~(c_In @ X2 @ (c_Power @ X1))|((~(c_Subq @ X2 @ X1)|(c_iff @ $true @ $true))&((c_Subq @ X2 @ X1)|(c_iff @ $true @ $false))))&((c_In @ X2 @ (c_Power @ X1))|((~(c_Subq @ X2 @ X1)|(c_iff @ $false @ $true))&((c_Subq @ X2 @ X1)|(c_iff @ $false @ $false)))))), inference(fool_unroll,[status(thm)],[ax7])). 86.12/25.26 thf(c_0_59, plain, ![X1:$i, X27:$i > $i > $o]:(((c_not @ (($true)))|~((X27 @ X1 @ X1))|~((c_irreflexive_i @ X27)))), inference(split_conjunct,[status(thm)],[c_0_35])). 86.12/25.26 thf(c_0_60, plain, ![X1:$i]:(~((epred161_1 @ epred84_2 @ X1))), inference(spm,[status(thm)],[c_0_48, c_0_49])). 86.12/25.26 thf(c_0_61, plain, ![X25:$i > $o]:(((X25 @ (esk30_1 @ (epred166_2 @ X25)))|(c_irreflexive_i @ (epred166_2 @ X25)))), inference(spm,[status(thm)],[c_0_50, c_0_51])). 86.12/25.26 thf(c_0_62, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X17:$i, X25:$i > $o, X7:$i, X4:$i > $i > $i, X31:$i > $i, X28:$i > $o]:((((X17)=(X7))|~((c_not @ (~($true))))|~((epred132_8 @ X1 @ X2 @ X3 @ X7 @ X25 @ X31 @ X4 @ X28))|~((epred134_8 @ X1 @ X2 @ X3 @ X7 @ X25 @ X31 @ X4 @ X28)))), inference(split_conjunct,[status(thm)],[c_0_52])). 86.12/25.26 thf(c_0_63, plain, ![X1:$i, X2:$i, X3:$i, X7:$i, X4:$i > $i > $i, X25:$i > $o, X31:$i > $i, X28:$i > $o]:((epred134_8 @ X2 @ X1 @ X3 @ X7 @ X25 @ X31 @ X4 @ X28)), inference(cn,[status(thm)],[c_0_53])). 86.12/25.26 thf(c_0_64, plain, ![X7:$i, X25:$i > $o, X31:$i > $i, X28:$i > $o, X4:$i > $i > $i, X3:$i, X2:$i, X1:$i]:(((epred132_8 @ X1 @ X2 @ X3 @ X7 @ X25 @ X31 @ X4 @ X28)|(X25 @ (X31 @ (X31 @ (X4 @ X2 @ X1))))|~((c_and @ (($true)) @ (($true)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_19])])). 86.12/25.26 thf(c_0_65, plain, (c_and @ (($true)) @ (($true))), inference(spm,[status(thm)],[c_0_55, c_0_56])). 86.12/25.26 thf(c_0_66, plain, ![X456:$i]:(((~(c_In @ X456 @ c_Empty)|(c_not @ $true))&((c_In @ esk5_0 @ c_Empty)|(c_not @ $false)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])])])). 86.12/25.26 thf(c_0_67, plain, ![X203:$i, X204:$i]:(((c_Subq @ X203 @ X204)<=>![X3:$i]:(((c_In @ X3 @ X203)=>(c_In @ X3 @ X204))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax17])])])). 86.12/25.26 thf(c_0_68, plain, ![X643:$i, X644:$i]:((((~(c_Subq @ X644 @ X643)|(c_iff @ $true @ $true)|~(c_In @ X644 @ (c_Power @ X643)))&((c_Subq @ X644 @ X643)|(c_iff @ $true @ $false)|~(c_In @ X644 @ (c_Power @ X643))))&((~(c_Subq @ X644 @ X643)|(c_iff @ $false @ $true)|(c_In @ X644 @ (c_Power @ X643)))&((c_Subq @ X644 @ X643)|(c_iff @ $false @ $false)|(c_In @ X644 @ (c_Power @ X643)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_58])])])). 86.12/25.26 thf(c_0_69, plain, ![X770:$o, X771:$o]:(((~(X770)|(X771)|~(c_iff @ ((X770)) @ ((X771))))&(~(X771)|(X770)|~(c_iff @ ((X770)) @ ((X771)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])). 86.12/25.26 thf(c_0_70, plain, ![X27:$i > $i > $o, X1:$i]:((~((c_irreflexive_i @ X27))|~((X27 @ X1 @ X1)))), inference(sr,[status(thm)],[c_0_59, c_0_29])). 86.12/25.26 thf(c_0_71, plain, (c_irreflexive_i @ (epred166_2 @ (epred161_1 @ epred84_2))), inference(spm,[status(thm)],[c_0_60, c_0_61])). 86.12/25.26 thf(c_0_72, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X17:$i, X7:$i, X4:$i > $i > $i, X25:$i > $o, X31:$i > $i, X28:$i > $o]:((((X1)=(X2))|~((epred132_8 @ X3 @ X7 @ X17 @ X1 @ X25 @ X31 @ X4 @ X28)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_19]), c_0_63])])). 86.12/25.26 thf(c_0_73, plain, ![X7:$i, X25:$i > $o, X31:$i > $i, X28:$i > $o, X4:$i > $i > $i, X3:$i, X2:$i, X1:$i]:(((epred132_8 @ X1 @ X2 @ X3 @ X7 @ X25 @ X31 @ X4 @ X28)|(X25 @ (X31 @ (X31 @ (X4 @ X2 @ X1)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_65])])). 86.12/25.26 thf(c_0_74, plain, ![X1:$i]:(((c_not @ (($true)))|~((c_In @ X1 @ c_Empty)))), inference(split_conjunct,[status(thm)],[c_0_66])). 86.12/25.26 thf(c_0_75, plain, ![X411:$i, X412:$i, X413:$i, X414:$i, X415:$i]:(((~(c_Subq @ X411 @ X412)|(~(c_In @ X413 @ X411)|(c_In @ X413 @ X412)))&(((c_In @ (esk1_2 @ X414 @ X415) @ X414)|(c_Subq @ X414 @ X415))&(~(c_In @ (esk1_2 @ X414 @ X415) @ X415)|(c_Subq @ X414 @ X415))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])])])])])). 86.12/25.26 thf(c_0_76, plain, ![X1:$i, X2:$i]:(((c_iff @ (~($true)) @ (($true)))|(c_In @ X1 @ (c_Power @ X2))|~((c_Subq @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_68])). 86.12/25.26 thf(c_0_77, plain, ~((c_iff @ (~($true)) @ (($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_69])])])). 86.12/25.26 thf(c_0_78, plain, ![X1:$i]:(~((epred166_2 @ (epred161_1 @ epred84_2) @ X1 @ X1))), inference(spm,[status(thm)],[c_0_70, c_0_71])). 86.12/25.26 thf(c_0_79, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i > $i > $i, X31:$i > $i, X25:$i > $o, X7:$i]:((((X1)=(X2))|(X25 @ (X31 @ (X31 @ (X4 @ X3 @ X7)))))), inference(spm,[status(thm)],[c_0_72, c_0_73])). 86.12/25.26 thf(c_0_80, plain, ![X1:$i]:(~((c_In @ X1 @ c_Empty))), inference(sr,[status(thm)],[c_0_74, c_0_29])). 86.12/25.26 thf(c_0_81, plain, ![X1:$i, X2:$i]:(((c_In @ (esk1_2 @ X1 @ X2) @ X1)|(c_Subq @ X1 @ X2))), inference(split_conjunct,[status(thm)],[c_0_75])). 86.12/25.26 thf(c_0_82, plain, ![X1:$i, X2:$i]:(((c_In @ X1 @ (c_Power @ X2))|~((c_Subq @ X1 @ X2)))), inference(sr,[status(thm)],[c_0_76, c_0_77])). 86.12/25.26 thf(c_0_83, plain, ![X1:$i, X2:$i]:(((X1)=(X2))), inference(spm,[status(thm)],[c_0_78, c_0_79])). 86.12/25.26 thf(c_0_84, plain, ![X1:$i]:((c_Subq @ c_Empty @ X1)), inference(spm,[status(thm)],[c_0_80, c_0_81])). 86.12/25.26 thf(c_0_85, plain, ![X1:$i, X2:$i]:(~((c_Subq @ X1 @ X2))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_83]), c_0_80])). 86.12/25.26 thf(c_0_86, plain, ($false), inference(sr,[status(thm)],[c_0_84, c_0_85]), ['proof']). 86.12/25.26 # SZS output end CNFRefutation 86.12/25.26 # Parsed axioms : 213 86.12/25.26 # Removed by relevancy pruning/SinE : 0 86.12/25.26 # Initial clauses : 468845 86.12/25.26 # Removed in clause preprocessing : 463944 86.12/25.26 # Initial clauses in saturation : 4901 86.12/25.26 # Processed clauses : 8428 86.12/25.26 # ...of these trivial : 371 86.12/25.26 # ...subsumed : 4130 86.12/25.26 # ...remaining for further processing : 3927 86.12/25.26 # Other redundant clauses eliminated : 149 86.12/25.26 # Clauses deleted for lack of memory : 0 86.12/25.26 # Backward-subsumed : 236 86.12/25.26 # Backward-rewritten : 1785 86.12/25.26 # Generated clauses : 54246 86.12/25.26 # ...of the previous two non-redundant : 54105 86.12/25.26 # ...aggressively subsumed : 0 86.12/25.26 # Contextual simplify-reflections : 314 86.12/25.26 # Paramodulations : 54079 86.12/25.26 # Factorizations : 0 86.12/25.26 # NegExts : 0 86.12/25.26 # Equation resolutions : 149 86.12/25.26 # Disequality decompositions : 0 86.12/25.26 # Total rewrite steps : 9780 86.12/25.26 # ...of those cached : 6261 86.12/25.26 # Propositional unsat checks : 0 86.12/25.26 # Propositional check models : 0 86.12/25.26 # Propositional check unsatisfiable : 0 86.12/25.26 # Propositional clauses : 0 86.12/25.26 # Propositional clauses after purity: 0 86.12/25.26 # Propositional unsat core size : 0 86.12/25.26 # Propositional preprocessing time : 0.000 86.12/25.26 # Propositional encoding time : 0.000 86.12/25.26 # Propositional solver time : 0.000 86.12/25.26 # Success case prop preproc time : 0.000 86.12/25.26 # Success case prop encoding time : 0.000 86.12/25.26 # Success case prop solver time : 0.000 86.12/25.26 # Current number of processed clauses : 618 86.12/25.26 # Positive orientable unit clauses : 102 86.12/25.26 # Positive unorientable unit clauses: 2 86.12/25.26 # Negative unit clauses : 85 86.12/25.26 # Non-unit-clauses : 429 86.12/25.26 # Current number of unprocessed clauses: 51713 86.12/25.26 # ...number of literals in the above : 221890 86.12/25.26 # Current number of archived formulas : 0 86.12/25.26 # Current number of archived clauses : 3247 86.12/25.26 # Clause-clause subsumption calls (NU) : 2127751 86.12/25.26 # Rec. Clause-clause subsumption calls : 729224 86.12/25.26 # Non-unit clause-clause subsumptions : 2001 86.12/25.26 # Unit Clause-clause subsumption calls : 84803 86.12/25.26 # Rewrite failures with RHS unbound : 0 86.12/25.26 # BW rewrite match attempts : 7846 86.12/25.26 # BW rewrite match successes : 2536 86.12/25.26 # Condensation attempts : 8638 86.12/25.26 # Condensation successes : 250 86.12/25.26 # Termbank termtop insertions : 21220059 86.12/25.26 # Search garbage collected termcells : 2013043 86.12/25.26 86.12/25.26 # ------------------------------------------------- 86.12/25.26 # User time : 22.419 s 86.12/25.26 # System time : 1.380 s 86.12/25.26 # Total time : 23.799 s 86.12/25.26 # Maximum resident set size: 1255336 pages 86.12/25.26 86.12/25.26 # ------------------------------------------------- 86.12/25.26 # User time : 22.512 s 86.12/25.26 # System time : 1.547 s 86.12/25.26 # Total time : 24.059 s 86.12/25.26 # Maximum resident set size: 2104 pages 86.12/25.26 % E exiting 86.12/25.26 % E exiting 86.12/25.26 EOF