0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E %s %d THM 0.12/0.33 % Computer : n016.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 : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 10:53:24 EDT 2024 0.12/0.33 % CPUTime : 0.20/0.48 Running higher-order theorem proving 0.20/0.50 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.K5jkdPgBIv/E---3.1_5036.p 70.94/15.66 # Version: 3.2.0-ho 70.94/15.66 # partial match(1): HSLMSMSSSSLCHSA 70.94/15.66 # Preprocessing class: HSLMSLSSSSLCHSA. 70.94/15.66 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 70.94/15.66 # Starting pre_casc_6 with 900s (5) cores 70.94/15.66 # Starting ehoh_best7 with 180s (1) cores 70.94/15.66 # Starting new_bool_8 with 180s (1) cores 70.94/15.66 # Starting new_ho_11 with 180s (1) cores 70.94/15.66 # new_ho_11 with pid 5117 completed with status 0 70.94/15.66 # Result found by new_ho_11 70.94/15.66 # partial match(1): HSLMSMSSSSLCHSA 70.94/15.66 # Preprocessing class: HSLMSLSSSSLCHSA. 70.94/15.66 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 70.94/15.66 # Starting pre_casc_6 with 900s (5) cores 70.94/15.66 # Starting ehoh_best7 with 180s (1) cores 70.94/15.66 # Starting new_bool_8 with 180s (1) cores 70.94/15.66 # Starting new_ho_11 with 180s (1) cores 70.94/15.66 # No SInE strategy applied 70.94/15.66 # Search class: HGHSM-SMLM33-DHSFFSBC 70.94/15.66 # partial match(1): HGHSM-SMLM32-DHSFFSBC 70.94/15.66 # Scheduled 6 strats onto 1 cores with 168 seconds (168 total) 70.94/15.66 # Starting new_ho_10 with 51s (1) cores 70.94/15.66 # new_ho_10 with pid 5137 completed with status 0 70.94/15.66 # Result found by new_ho_10 70.94/15.66 # partial match(1): HSLMSMSSSSLCHSA 70.94/15.66 # Preprocessing class: HSLMSLSSSSLCHSA. 70.94/15.66 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 70.94/15.66 # Starting pre_casc_6 with 900s (5) cores 70.94/15.66 # Starting ehoh_best7 with 180s (1) cores 70.94/15.66 # Starting new_bool_8 with 180s (1) cores 70.94/15.66 # Starting new_ho_11 with 180s (1) cores 70.94/15.66 # No SInE strategy applied 70.94/15.66 # Search class: HGHSM-SMLM33-DHSFFSBC 70.94/15.66 # partial match(1): HGHSM-SMLM32-DHSFFSBC 70.94/15.66 # Scheduled 6 strats onto 1 cores with 168 seconds (168 total) 70.94/15.66 # Starting new_ho_10 with 51s (1) cores 70.94/15.66 # Preprocessing time : 0.078 s 70.94/15.66 # Presaturation interreduction done 70.94/15.66 70.94/15.66 # Proof found! 70.94/15.66 # SZS status Theorem 70.94/15.66 # SZS output start CNFRefutation 70.94/15.66 thf(decl_23, type, c_False: $o). 70.94/15.66 thf(decl_25, type, c_not: $o > $o). 70.94/15.66 thf(decl_26, type, c_and: $o > $o > $o). 70.94/15.66 thf(decl_28, type, c_iff: $o > $o > $o). 70.94/15.66 thf(decl_29, type, c_In: $i > $i > $o). 70.94/15.66 thf(decl_30, type, c_Subq: $i > $i > $o). 70.94/15.66 thf(decl_31, type, c_Empty: $i). 70.94/15.66 thf(decl_32, type, c_Union: $i > $i). 70.94/15.66 thf(decl_33, type, c_Power: $i > $i). 70.94/15.66 thf(decl_47, type, c_irreflexive_i: ($i > $i > $o) > $o). 70.94/15.66 thf(decl_143, type, epred18_2: $i > $i > $o). 70.94/15.66 thf(decl_269, type, esk2_0: $i). 70.94/15.66 thf(decl_287, type, esk18_2: $i > $i > $i). 70.94/15.66 thf(decl_288, type, esk19_2: $i > $i > $i). 70.94/15.66 thf(decl_306, type, esk35_0: $i > $i > $i). 70.94/15.66 thf(decl_307, type, esk36_0: $i > $i). 70.94/15.66 thf(decl_308, type, esk37_0: $i). 70.94/15.66 thf(decl_309, type, esk38_0: $i). 70.94/15.66 thf(decl_310, type, esk39_0: $i). 70.94/15.66 thf(decl_317, type, epred147_2: $o > $o > $o). 70.94/15.66 thf(decl_326, type, esk53_1: ($i > $i > $o) > $i). 70.94/15.66 thf(decl_327, type, esk54_1: ($i > $i > $o) > $i). 70.94/15.66 thf(decl_328, type, esk55_2: $i > $i > $i). 70.94/15.66 thf(decl_493, type, esk214_1: $i > $i > $i). 70.94/15.66 thf(conj, conjecture, (c_not @ (![X89:$i > $i > $o, X90:$i > $i > $i, X91:$i > $o, X92:$i > $o, X93:$i > $i, X94:$i, X12:$i, X13:$i]:(((X93 @ (X90 @ (X90 @ (X90 @ (X90 @ (X90 @ (X90 @ X12 @ X94) @ (X90 @ (X90 @ (X90 @ X12 @ X94) @ (X90 @ X13 @ (X90 @ (X90 @ (X90 @ X94 @ X94) @ (X90 @ (X90 @ (X90 @ (X90 @ X94 @ (X90 @ (X90 @ X12 @ (X90 @ X94 @ (X90 @ X94 @ X13))) @ X94)) @ X13) @ (X90 @ (X93 @ X12) @ X13)) @ (X90 @ (X90 @ (X90 @ (X90 @ X94 @ (X93 @ (X90 @ X13 @ X94))) @ (X90 @ X12 @ X12)) @ (X90 @ X12 @ (X90 @ X13 @ X94))) @ X94))) @ X13))) @ X94)) @ X12) @ (X90 @ X12 @ (X90 @ X94 @ (X90 @ (X90 @ (X93 @ X94) @ (X90 @ (X90 @ X12 @ X12) @ X12)) @ X94)))) @ (X93 @ (X93 @ X12))) @ X94))=(X93 @ (X93 @ X13)))))), file('/export/starexec/sandbox/tmp/tmp.K5jkdPgBIv/E---3.1_5036.p', conj)). 70.94/15.66 thf(ax13, axiom, ((c_not)=(^[X44:$o]:(((c_False)<=(X44))))), file('/export/starexec/sandbox/tmp/tmp.K5jkdPgBIv/E---3.1_5036.p', ax13)). 70.94/15.66 thf(ax6, axiom, ![X1:$i, X2:$i]:((c_iff @ ((c_In @ X2 @ (c_Union @ X1))) @ (?[X50:$i]:((c_and @ ((c_In @ X2 @ X50)) @ ((c_In @ X50 @ X1))))))), file('/export/starexec/sandbox/tmp/tmp.K5jkdPgBIv/E---3.1_5036.p', ax6)). 70.94/15.66 thf(ax14, axiom, ((c_and)=(^[X123:$o, X124:$o]:(![X125:$o]:(((((X125)<=(X124))<=(X123))=>(X125)))))), file('/export/starexec/sandbox/tmp/tmp.K5jkdPgBIv/E---3.1_5036.p', ax14)). 70.94/15.66 thf(ax5, axiom, (c_not @ (?[X1:$i]:((c_In @ X1 @ c_Empty)))), file('/export/starexec/sandbox/tmp/tmp.K5jkdPgBIv/E---3.1_5036.p', ax5)). 70.94/15.66 thf(ax3, axiom, ![X116:$o, X117:$o]:(((c_iff @ ((X116)) @ ((X117)))=>((X116)<=>(X117)))), file('/export/starexec/sandbox/tmp/tmp.K5jkdPgBIv/E---3.1_5036.p', ax3)). 70.94/15.66 thf(ax17, axiom, ((c_Subq)=(^[X1:$i, X2:$i]:(![X167:$i]:(((c_In @ X167 @ X1)=>(c_In @ X167 @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.K5jkdPgBIv/E---3.1_5036.p', ax17)). 70.94/15.66 thf(ax4, axiom, ![X1:$i, X2:$i]:(((((X1)=(X2))<=(c_Subq @ X2 @ X1))<=(c_Subq @ X1 @ X2))), file('/export/starexec/sandbox/tmp/tmp.K5jkdPgBIv/E---3.1_5036.p', ax4)). 70.94/15.66 thf(ax30, axiom, ((c_irreflexive_i)=(^[X152:$i > $i > $o]:(![X2:$i]:((c_not @ ((X152 @ X2 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.K5jkdPgBIv/E---3.1_5036.p', ax30)). 70.94/15.66 thf(ax7, axiom, ![X1:$i, X2:$i]:((c_iff @ ((c_In @ X2 @ (c_Power @ X1))) @ ((c_Subq @ X2 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.K5jkdPgBIv/E---3.1_5036.p', ax7)). 70.94/15.66 thf(c_0_10, plain, ![X2:$i, X1:$i]:(((epred18_2 @ X1 @ X2)<=>~(?[X50:$i]:(((~(c_In @ X2 @ X50)|((~(c_In @ X50 @ X1)|(c_and @ $true @ $true))&((c_In @ X50 @ X1)|(c_and @ $true @ $false))))&((c_In @ X2 @ X50)|((~(c_In @ X50 @ X1)|(c_and @ $false @ $true))&((c_In @ X50 @ X1)|(c_and @ $false @ $false))))))))), introduced(definition)). 70.94/15.66 thf(c_0_11, negated_conjecture, ~(((~(![X89:$i > $i > $o, X90:$i > $i > $i, X91:$i > $o, X92:$i > $o, X93:$i > $i, X94:$i, X12:$i, X13:$i]:(((X93 @ (X90 @ (X90 @ (X90 @ (X90 @ (X90 @ (X90 @ X12 @ X94) @ (X90 @ (X90 @ (X90 @ X12 @ X94) @ (X90 @ X13 @ (X90 @ (X90 @ (X90 @ X94 @ X94) @ (X90 @ (X90 @ (X90 @ (X90 @ X94 @ (X90 @ (X90 @ X12 @ (X90 @ X94 @ (X90 @ X94 @ X13))) @ X94)) @ X13) @ (X90 @ (X93 @ X12) @ X13)) @ (X90 @ (X90 @ (X90 @ (X90 @ X94 @ (X93 @ (X90 @ X13 @ X94))) @ (X90 @ X12 @ X12)) @ (X90 @ X12 @ (X90 @ X13 @ X94))) @ X94))) @ X13))) @ X94)) @ X12) @ (X90 @ X12 @ (X90 @ X94 @ (X90 @ (X90 @ (X93 @ X94) @ (X90 @ (X90 @ X12 @ X12) @ X12)) @ X94)))) @ (X93 @ (X93 @ X12))) @ X94))=(X93 @ (X93 @ X13)))))|(c_not @ $true))&(![X89:$i > $i > $o, X90:$i > $i > $i, X91:$i > $o, X92:$i > $o, X93:$i > $i, X94:$i, X12:$i, X13:$i]:(((X93 @ (X90 @ (X90 @ (X90 @ (X90 @ (X90 @ (X90 @ X12 @ X94) @ (X90 @ (X90 @ (X90 @ X12 @ X94) @ (X90 @ X13 @ (X90 @ (X90 @ (X90 @ X94 @ X94) @ (X90 @ (X90 @ (X90 @ (X90 @ X94 @ (X90 @ (X90 @ X12 @ (X90 @ X94 @ (X90 @ X94 @ X13))) @ X94)) @ X13) @ (X90 @ (X93 @ X12) @ X13)) @ (X90 @ (X90 @ (X90 @ (X90 @ X94 @ (X93 @ (X90 @ X13 @ X94))) @ (X90 @ X12 @ X12)) @ (X90 @ X12 @ (X90 @ X13 @ X94))) @ X94))) @ X13))) @ X94)) @ X12) @ (X90 @ X12 @ (X90 @ X94 @ (X90 @ (X90 @ (X93 @ X94) @ (X90 @ (X90 @ X12 @ X12) @ X12)) @ X94)))) @ (X93 @ (X93 @ X12))) @ X94))=(X93 @ (X93 @ X13))))|(c_not @ $false)))), inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[conj])])). 70.94/15.66 thf(c_0_12, plain, ![X254:$o]:(((c_not @ ((X254)))<=>((X254)=>(c_False)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])])])). 70.94/15.66 thf(c_0_13, axiom, ![X1:$i, X2:$i]:(((~(c_In @ X2 @ (c_Union @ X1))|(((epred18_2 @ X1 @ X2)|(c_iff @ $true @ $true))&(?[X50:$i]:(((~(c_In @ X2 @ X50)|((~(c_In @ X50 @ X1)|(c_and @ $true @ $true))&((c_In @ X50 @ X1)|(c_and @ $true @ $false))))&((c_In @ X2 @ X50)|((~(c_In @ X50 @ X1)|(c_and @ $false @ $true))&((c_In @ X50 @ X1)|(c_and @ $false @ $false))))))|(c_iff @ $true @ $false))))&((c_In @ X2 @ (c_Union @ X1))|(((epred18_2 @ X1 @ X2)|(c_iff @ $false @ $true))&(?[X50:$i]:(((~(c_In @ X2 @ X50)|((~(c_In @ X50 @ X1)|(c_and @ $true @ $true))&((c_In @ X50 @ X1)|(c_and @ $true @ $false))))&((c_In @ X2 @ X50)|((~(c_In @ X50 @ X1)|(c_and @ $false @ $true))&((c_In @ X50 @ X1)|(c_and @ $false @ $false))))))|(c_iff @ $false @ $false)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[ax6]), c_0_10]), c_0_10])). 70.94/15.66 thf(c_0_14, plain, ![X342:$o, X343:$o]:(((c_and @ ((X342)) @ ((X343)))<=>![X125:$o]:((((X342)=>((X343)=>(X125)))=>(X125))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax14])])])). 70.94/15.66 thf(c_0_15, axiom, ((~(?[X1:$i]:((c_In @ X1 @ c_Empty)))|(c_not @ $true))&(?[X1:$i]:((c_In @ X1 @ c_Empty))|(c_not @ $false))), inference(fool_unroll,[status(thm)],[ax5])). 70.94/15.66 thf(c_0_16, negated_conjecture, ![X613:$i > $i > $i, X614:$i > $i, X615:$i, X616:$i, X617:$i]:((((((esk36_0 @ (esk35_0 @ (esk35_0 @ (esk35_0 @ (esk35_0 @ (esk35_0 @ (esk35_0 @ esk38_0 @ esk37_0) @ (esk35_0 @ (esk35_0 @ (esk35_0 @ esk38_0 @ esk37_0) @ (esk35_0 @ esk39_0 @ (esk35_0 @ (esk35_0 @ (esk35_0 @ esk37_0 @ esk37_0) @ (esk35_0 @ (esk35_0 @ (esk35_0 @ (esk35_0 @ esk37_0 @ (esk35_0 @ (esk35_0 @ esk38_0 @ (esk35_0 @ esk37_0 @ (esk35_0 @ esk37_0 @ esk39_0))) @ esk37_0)) @ esk39_0) @ (esk35_0 @ (esk36_0 @ esk38_0) @ esk39_0)) @ (esk35_0 @ (esk35_0 @ (esk35_0 @ (esk35_0 @ esk37_0 @ (esk36_0 @ (esk35_0 @ esk39_0 @ esk37_0))) @ (esk35_0 @ esk38_0 @ esk38_0)) @ (esk35_0 @ esk38_0 @ (esk35_0 @ esk39_0 @ esk37_0))) @ esk37_0))) @ esk39_0))) @ esk37_0)) @ esk38_0) @ (esk35_0 @ esk38_0 @ (esk35_0 @ esk37_0 @ (esk35_0 @ (esk35_0 @ (esk36_0 @ esk37_0) @ (esk35_0 @ (esk35_0 @ esk38_0 @ esk38_0) @ esk38_0)) @ esk37_0)))) @ (esk36_0 @ (esk36_0 @ esk38_0))) @ esk37_0))!=(esk36_0 @ (esk36_0 @ esk39_0)))|((X614 @ (X613 @ (X613 @ (X613 @ (X613 @ (X613 @ (X613 @ X616 @ X615) @ (X613 @ (X613 @ (X613 @ X616 @ X615) @ (X613 @ X617 @ (X613 @ (X613 @ (X613 @ X615 @ X615) @ (X613 @ (X613 @ (X613 @ (X613 @ X615 @ (X613 @ (X613 @ X616 @ (X613 @ X615 @ (X613 @ X615 @ X617))) @ X615)) @ X617) @ (X613 @ (X614 @ X616) @ X617)) @ (X613 @ (X613 @ (X613 @ (X613 @ X615 @ (X614 @ (X613 @ X617 @ X615))) @ (X613 @ X616 @ X616)) @ (X613 @ X616 @ (X613 @ X617 @ X615))) @ X615))) @ X617))) @ X615)) @ X616) @ (X613 @ X616 @ (X613 @ X615 @ (X613 @ (X613 @ (X614 @ X615) @ (X613 @ (X613 @ X616 @ X616) @ X616)) @ X615)))) @ (X614 @ (X614 @ X616))) @ X615))=(X614 @ (X614 @ X617))))&(~(c_not @ $false)|((X614 @ (X613 @ (X613 @ (X613 @ (X613 @ (X613 @ (X613 @ X616 @ X615) @ (X613 @ (X613 @ (X613 @ X616 @ X615) @ (X613 @ X617 @ (X613 @ (X613 @ (X613 @ X615 @ X615) @ (X613 @ (X613 @ (X613 @ (X613 @ X615 @ (X613 @ (X613 @ X616 @ (X613 @ X615 @ (X613 @ X615 @ X617))) @ X615)) @ X617) @ (X613 @ (X614 @ X616) @ X617)) @ (X613 @ (X613 @ (X613 @ (X613 @ X615 @ (X614 @ (X613 @ X617 @ X615))) @ (X613 @ X616 @ X616)) @ (X613 @ X616 @ (X613 @ X617 @ X615))) @ X615))) @ X617))) @ X615)) @ X616) @ (X613 @ X616 @ (X613 @ X615 @ (X613 @ (X613 @ (X614 @ X615) @ (X613 @ (X613 @ X616 @ X616) @ X616)) @ X615)))) @ (X614 @ (X614 @ X616))) @ X615))=(X614 @ (X614 @ X617)))))&((((esk36_0 @ (esk35_0 @ (esk35_0 @ (esk35_0 @ (esk35_0 @ (esk35_0 @ (esk35_0 @ esk38_0 @ esk37_0) @ (esk35_0 @ (esk35_0 @ (esk35_0 @ esk38_0 @ esk37_0) @ (esk35_0 @ esk39_0 @ (esk35_0 @ (esk35_0 @ (esk35_0 @ esk37_0 @ esk37_0) @ (esk35_0 @ (esk35_0 @ (esk35_0 @ (esk35_0 @ esk37_0 @ (esk35_0 @ (esk35_0 @ esk38_0 @ (esk35_0 @ esk37_0 @ (esk35_0 @ esk37_0 @ esk39_0))) @ esk37_0)) @ esk39_0) @ (esk35_0 @ (esk36_0 @ esk38_0) @ esk39_0)) @ (esk35_0 @ (esk35_0 @ (esk35_0 @ (esk35_0 @ esk37_0 @ (esk36_0 @ (esk35_0 @ esk39_0 @ esk37_0))) @ (esk35_0 @ esk38_0 @ esk38_0)) @ (esk35_0 @ esk38_0 @ (esk35_0 @ esk39_0 @ esk37_0))) @ esk37_0))) @ esk39_0))) @ esk37_0)) @ esk38_0) @ (esk35_0 @ esk38_0 @ (esk35_0 @ esk37_0 @ (esk35_0 @ (esk35_0 @ (esk36_0 @ esk37_0) @ (esk35_0 @ (esk35_0 @ esk38_0 @ esk38_0) @ esk38_0)) @ esk37_0)))) @ (esk36_0 @ (esk36_0 @ esk38_0))) @ esk37_0))!=(esk36_0 @ (esk36_0 @ esk39_0)))|~(c_not @ $true))&(~(c_not @ $false)|~(c_not @ $true))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_11])])])])])])])). 70.94/15.66 thf(c_0_17, plain, ![X510:$o]:(((~(c_not @ ((X510)))|(~(X510)|(c_False)))&(((X510)|(c_not @ ((X510))))&(~(c_False)|(c_not @ ((X510))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])). 70.94/15.66 thf(c_0_18, plain, ![X517:$i, X518:$i, X520:$i, X521:$i]:(((((epred18_2 @ X517 @ X518)|(c_iff @ $true @ $true)|~(c_In @ X518 @ (c_Union @ X517)))&(((~(c_In @ (esk18_2 @ X517 @ X518) @ X517)|(c_and @ $true @ $true)|~(c_In @ X518 @ (esk18_2 @ X517 @ X518))|(c_iff @ $true @ $false)|~(c_In @ X518 @ (c_Union @ X517)))&((c_In @ (esk18_2 @ X517 @ X518) @ X517)|(c_and @ $true @ $false)|~(c_In @ X518 @ (esk18_2 @ X517 @ X518))|(c_iff @ $true @ $false)|~(c_In @ X518 @ (c_Union @ X517))))&((~(c_In @ (esk18_2 @ X517 @ X518) @ X517)|(c_and @ $false @ $true)|(c_In @ X518 @ (esk18_2 @ X517 @ X518))|(c_iff @ $true @ $false)|~(c_In @ X518 @ (c_Union @ X517)))&((c_In @ (esk18_2 @ X517 @ X518) @ X517)|(c_and @ $false @ $false)|(c_In @ X518 @ (esk18_2 @ X517 @ X518))|(c_iff @ $true @ $false)|~(c_In @ X518 @ (c_Union @ X517))))))&(((epred18_2 @ X520 @ X521)|(c_iff @ $false @ $true)|(c_In @ X521 @ (c_Union @ X520)))&(((~(c_In @ (esk19_2 @ X520 @ X521) @ X520)|(c_and @ $true @ $true)|~(c_In @ X521 @ (esk19_2 @ X520 @ X521))|(c_iff @ $false @ $false)|(c_In @ X521 @ (c_Union @ X520)))&((c_In @ (esk19_2 @ X520 @ X521) @ X520)|(c_and @ $true @ $false)|~(c_In @ X521 @ (esk19_2 @ X520 @ X521))|(c_iff @ $false @ $false)|(c_In @ X521 @ (c_Union @ X520))))&((~(c_In @ (esk19_2 @ X520 @ X521) @ X520)|(c_and @ $false @ $true)|(c_In @ X521 @ (esk19_2 @ X520 @ X521))|(c_iff @ $false @ $false)|(c_In @ X521 @ (c_Union @ X520)))&((c_In @ (esk19_2 @ X520 @ X521) @ X520)|(c_and @ $false @ $false)|(c_In @ X521 @ (esk19_2 @ X520 @ X521))|(c_iff @ $false @ $false)|(c_In @ X521 @ (c_Union @ X520)))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_13])])])])])])). 70.94/15.66 thf(c_0_19, plain, ![X666:$o, X667:$o]:(((~(X666)|(X667)|~(c_iff @ ((X666)) @ ((X667))))&(~(X667)|(X666)|~(c_iff @ ((X666)) @ ((X667)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])). 70.94/15.66 thf(c_0_20, plain, ![X681:$o, X682:$o, X683:$o, X684:$o, X685:$o]:(((((X681)|(X683)|~(c_and @ ((X681)) @ ((X682))))&(((X682)|(X683)|~(c_and @ ((X681)) @ ((X682))))&(~(X683)|(X683)|~(c_and @ ((X681)) @ ((X682))))))&((~(X684)|(~(X685)|(epred147_2 @ X684 @ X685))|(c_and @ ((X684)) @ ((X685))))&(~(epred147_2 @ X684 @ X685)|(c_and @ ((X684)) @ ((X685))))))), 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_14])])])])])])])). 70.94/15.66 thf(c_0_21, plain, ![X429:$i]:(((~(c_In @ X429 @ c_Empty)|(c_not @ $true))&((c_In @ esk2_0 @ c_Empty)|(c_not @ $false)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])])). 70.94/15.66 thf(c_0_22, negated_conjecture, (~((c_not @ (~($true))))|~((c_not @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_16])). 70.94/15.66 thf(c_0_23, plain, (c_not @ (~($true))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_17])])])). 70.94/15.66 thf(c_0_24, plain, ![X397:$i, X398:$i]:(((c_Subq @ X397 @ X398)<=>![X167:$i]:(((c_In @ X167 @ X397)=>(c_In @ X167 @ X398))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax17])])). 70.94/15.66 thf(c_0_25, plain, ![X2:$i, X1:$i]:(((c_In @ (esk18_2 @ X1 @ X2) @ X1)|(c_and @ (~($true)) @ (~($true)))|(c_In @ X2 @ (esk18_2 @ X1 @ X2))|(c_iff @ (($true)) @ (~($true)))|~((c_In @ X2 @ (c_Union @ X1))))), inference(split_conjunct,[status(thm)],[c_0_18])). 70.94/15.66 thf(c_0_26, plain, ~((c_iff @ (($true)) @ (~($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_19])])])). 70.94/15.66 thf(c_0_27, plain, ![X66:$o]:(~((c_and @ ((X66)) @ (~($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_20])])])). 70.94/15.66 thf(c_0_28, plain, ![X1:$i, X2:$i]:(((c_Subq @ X1 @ X2)=>((c_Subq @ X2 @ X1)=>((X1)=(X2))))), inference(fof_simplification,[status(thm)],[ax4])). 70.94/15.66 thf(c_0_29, plain, ![X1:$i]:(((c_not @ (($true)))|~((c_In @ X1 @ c_Empty)))), inference(split_conjunct,[status(thm)],[c_0_21])). 70.94/15.66 thf(c_0_30, negated_conjecture, ~((c_not @ (($true)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])). 70.94/15.66 thf(c_0_31, plain, ![X765:$i, X766:$i, X767:$i, X768:$i, X769:$i]:(((~(c_Subq @ X765 @ X766)|(~(c_In @ X767 @ X765)|(c_In @ X767 @ X766)))&(((c_In @ (esk55_2 @ X768 @ X769) @ X768)|(c_Subq @ X768 @ X769))&(~(c_In @ (esk55_2 @ X768 @ X769) @ X769)|(c_Subq @ X768 @ X769))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])])])])). 70.94/15.66 thf(c_0_32, plain, ![X2:$i, X1:$i]:(((c_In @ (esk18_2 @ X1 @ X2) @ X1)|(c_and @ (($true)) @ (~($true)))|(c_iff @ (($true)) @ (~($true)))|~((c_In @ X2 @ (esk18_2 @ X1 @ X2)))|~((c_In @ X2 @ (c_Union @ X1))))), inference(split_conjunct,[status(thm)],[c_0_18])). 70.94/15.66 thf(c_0_33, plain, ![X2:$i, X1:$i]:(((c_In @ (esk18_2 @ X1 @ X2) @ X1)|(c_In @ X2 @ (esk18_2 @ X1 @ X2))|~((c_In @ X2 @ (c_Union @ X1))))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_25, c_0_26]), c_0_27])). 70.94/15.66 thf(c_0_34, plain, ![X664:$i, X665:$i]:((~(c_Subq @ X664 @ X665)|(~(c_Subq @ X665 @ X664)|((X664)=(X665))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])). 70.94/15.66 thf(c_0_35, plain, ![X1:$i]:(~((c_In @ X1 @ c_Empty))), inference(sr,[status(thm)],[c_0_29, c_0_30])). 70.94/15.66 thf(c_0_36, plain, ![X1:$i, X2:$i]:(((c_In @ (esk55_2 @ X1 @ X2) @ X1)|(c_Subq @ X1 @ X2))), inference(split_conjunct,[status(thm)],[c_0_31])). 70.94/15.66 thf(c_0_37, plain, ![X2:$i, X1:$i]:(((c_In @ (esk18_2 @ X1 @ X2) @ X1)|~((c_In @ X2 @ (c_Union @ X1))))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_32, c_0_27]), c_0_26]), c_0_33])). 70.94/15.66 thf(c_0_38, negated_conjecture, ![X1:$i, X2:$i, X11:$i > $i > $i, X3:$i > $i, X4:$i]:((((X3 @ (X11 @ (X11 @ (X11 @ (X11 @ (X11 @ (X11 @ X1 @ X2) @ (X11 @ (X11 @ (X11 @ X1 @ X2) @ (X11 @ X4 @ (X11 @ (X11 @ (X11 @ X2 @ X2) @ (X11 @ (X11 @ (X11 @ (X11 @ X2 @ (X11 @ (X11 @ X1 @ (X11 @ X2 @ (X11 @ X2 @ X4))) @ X2)) @ X4) @ (X11 @ (X3 @ X1) @ X4)) @ (X11 @ (X11 @ (X11 @ (X11 @ X2 @ (X3 @ (X11 @ X4 @ X2))) @ (X11 @ X1 @ X1)) @ (X11 @ X1 @ (X11 @ X4 @ X2))) @ X2))) @ X4))) @ X2)) @ X1) @ (X11 @ X1 @ (X11 @ X2 @ (X11 @ (X11 @ (X3 @ X2) @ (X11 @ (X11 @ X1 @ X1) @ X1)) @ X2)))) @ (X3 @ (X3 @ X1))) @ X2))=(X3 @ (X3 @ X4)))|~((c_not @ (~($true)))))), inference(split_conjunct,[status(thm)],[c_0_16])). 70.94/15.66 thf(c_0_39, plain, ![X1949:$i, X1950:$i]:(((esk214_1 @ X1950 @ X1949)=(X1950))), inference(variable_rename,[status(thm)],[])). 70.94/15.66 thf(c_0_40, plain, ![X2:$i, X1:$i]:((((X1)=(X2))|~((c_Subq @ X1 @ X2))|~((c_Subq @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_34])). 70.94/15.66 thf(c_0_41, plain, ![X1:$i]:((c_Subq @ c_Empty @ X1)), inference(spm,[status(thm)],[c_0_35, c_0_36])). 70.94/15.66 thf(c_0_42, plain, ![X1:$i]:(~((c_In @ X1 @ (c_Union @ c_Empty)))), inference(spm,[status(thm)],[c_0_35, c_0_37])). 70.94/15.66 thf(c_0_43, plain, ![X2:$i, X1:$i]:(((epred18_2 @ X1 @ X2)=>~(?[X50:$i]:(((~(c_In @ X2 @ X50)|((~(c_In @ X50 @ X1)|(c_and @ $true @ $true))&((c_In @ X50 @ X1)|(c_and @ $true @ $false))))&((c_In @ X2 @ X50)|((~(c_In @ X50 @ X1)|(c_and @ $false @ $true))&((c_In @ X50 @ X1)|(c_and @ $false @ $false))))))))), inference(split_equiv,[status(thm)],[c_0_10])). 70.94/15.66 thf(c_0_44, negated_conjecture, ![X1:$i, X2:$i, X11:$i > $i > $i, X3:$i > $i, X4:$i]:(((X3 @ (X11 @ (X11 @ (X11 @ (X11 @ (X11 @ (X11 @ X1 @ X2) @ (X11 @ (X11 @ (X11 @ X1 @ X2) @ (X11 @ X4 @ (X11 @ (X11 @ (X11 @ X2 @ X2) @ (X11 @ (X11 @ (X11 @ (X11 @ X2 @ (X11 @ (X11 @ X1 @ (X11 @ X2 @ (X11 @ X2 @ X4))) @ X2)) @ X4) @ (X11 @ (X3 @ X1) @ X4)) @ (X11 @ (X11 @ (X11 @ (X11 @ X2 @ (X3 @ (X11 @ X4 @ X2))) @ (X11 @ X1 @ X1)) @ (X11 @ X1 @ (X11 @ X4 @ X2))) @ X2))) @ X4))) @ X2)) @ X1) @ (X11 @ X1 @ (X11 @ X2 @ (X11 @ (X11 @ (X3 @ X2) @ (X11 @ (X11 @ X1 @ X1) @ X1)) @ X2)))) @ (X3 @ (X3 @ X1))) @ X2))=(X3 @ (X3 @ X4)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_23])])). 70.94/15.66 thf(c_0_45, plain, ![X2:$i, X1:$i]:(((esk214_1 @ X1 @ X2)=(X1))), inference(split_conjunct,[status(thm)],[c_0_39])). 70.94/15.66 thf(c_0_46, plain, ![X1:$i]:((((X1)=(c_Empty))|~((c_Subq @ X1 @ c_Empty)))), inference(spm,[status(thm)],[c_0_40, c_0_41])). 70.94/15.66 thf(c_0_47, plain, ![X1:$i]:((c_Subq @ (c_Union @ c_Empty) @ X1)), inference(spm,[status(thm)],[c_0_42, c_0_36])). 70.94/15.66 thf(c_0_48, plain, ![X920:$i, X921:$i, X922:$i]:((((~(c_In @ X920 @ X922)|(c_In @ X920 @ X922)|~(epred18_2 @ X921 @ X920))&(((~(c_In @ X922 @ X921)|(c_In @ X922 @ X921)|(c_In @ X920 @ X922)|~(epred18_2 @ X921 @ X920))&(~(c_and @ $false @ $false)|(c_In @ X922 @ X921)|(c_In @ X920 @ X922)|~(epred18_2 @ X921 @ X920)))&((~(c_In @ X922 @ X921)|~(c_and @ $false @ $true)|(c_In @ X920 @ X922)|~(epred18_2 @ X921 @ X920))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(c_In @ X920 @ X922)|~(epred18_2 @ X921 @ X920)))))&((((~(c_In @ X920 @ X922)|(~(c_In @ X922 @ X921)|(c_In @ X922 @ X921))|~(epred18_2 @ X921 @ X920))&(((~(c_In @ X922 @ X921)|(c_In @ X922 @ X921)|(~(c_In @ X922 @ X921)|(c_In @ X922 @ X921))|~(epred18_2 @ X921 @ X920))&(~(c_and @ $false @ $false)|(c_In @ X922 @ X921)|(~(c_In @ X922 @ X921)|(c_In @ X922 @ X921))|~(epred18_2 @ X921 @ X920)))&((~(c_In @ X922 @ X921)|~(c_and @ $false @ $true)|(~(c_In @ X922 @ X921)|(c_In @ X922 @ X921))|~(epred18_2 @ X921 @ X920))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(c_In @ X922 @ X921)|(c_In @ X922 @ X921))|~(epred18_2 @ X921 @ X920)))))&((~(c_In @ X920 @ X922)|(~(c_and @ $true @ $false)|(c_In @ X922 @ X921))|~(epred18_2 @ X921 @ X920))&(((~(c_In @ X922 @ X921)|(c_In @ X922 @ X921)|(~(c_and @ $true @ $false)|(c_In @ X922 @ X921))|~(epred18_2 @ X921 @ X920))&(~(c_and @ $false @ $false)|(c_In @ X922 @ X921)|(~(c_and @ $true @ $false)|(c_In @ X922 @ X921))|~(epred18_2 @ X921 @ X920)))&((~(c_In @ X922 @ X921)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|(c_In @ X922 @ X921))|~(epred18_2 @ X921 @ X920))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|(c_In @ X922 @ X921))|~(epred18_2 @ X921 @ X920))))))&(((~(c_In @ X920 @ X922)|(~(c_In @ X922 @ X921)|~(c_and @ $true @ $true))|~(epred18_2 @ X921 @ X920))&(((~(c_In @ X922 @ X921)|(c_In @ X922 @ X921)|(~(c_In @ X922 @ X921)|~(c_and @ $true @ $true))|~(epred18_2 @ X921 @ X920))&(~(c_and @ $false @ $false)|(c_In @ X922 @ X921)|(~(c_In @ X922 @ X921)|~(c_and @ $true @ $true))|~(epred18_2 @ X921 @ X920)))&((~(c_In @ X922 @ X921)|~(c_and @ $false @ $true)|(~(c_In @ X922 @ X921)|~(c_and @ $true @ $true))|~(epred18_2 @ X921 @ X920))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(c_In @ X922 @ X921)|~(c_and @ $true @ $true))|~(epred18_2 @ X921 @ X920)))))&((~(c_In @ X920 @ X922)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|~(epred18_2 @ X921 @ X920))&(((~(c_In @ X922 @ X921)|(c_In @ X922 @ X921)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|~(epred18_2 @ X921 @ X920))&(~(c_and @ $false @ $false)|(c_In @ X922 @ X921)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|~(epred18_2 @ X921 @ X920)))&((~(c_In @ X922 @ X921)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|~(epred18_2 @ X921 @ X920))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|~(epred18_2 @ X921 @ X920))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])])])). 70.94/15.66 thf(c_0_49, plain, ![X44:$o, X52:$o]:(((c_and @ ((X44)) @ ((X52)))|~((epred147_2 @ ((X44)) @ ((X52)))))), inference(split_conjunct,[status(thm)],[c_0_20])). 70.94/15.66 thf(c_0_50, plain, ((epred147_2 @ (($true)) @ (($true)))|(c_and @ (($true)) @ (($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_20])])])). 70.94/15.66 thf(c_0_51, plain, ![X2:$i, X1:$i]:(((epred18_2 @ X1 @ X2)|(c_iff @ (~($true)) @ (($true)))|(c_In @ X2 @ (c_Union @ X1)))), inference(split_conjunct,[status(thm)],[c_0_18])). 70.94/15.66 thf(c_0_52, plain, ~((c_iff @ (~($true)) @ (($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_19])])])). 70.94/15.66 thf(c_0_53, plain, ![X1:$i, X3:$i > $i, X2:$i]:(((X3 @ X1)=(X3 @ (X3 @ X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45]), c_0_45])). 70.94/15.66 thf(c_0_54, plain, ((c_Union @ c_Empty)=(c_Empty)), inference(spm,[status(thm)],[c_0_46, c_0_47])). 70.94/15.66 thf(c_0_55, plain, ![X372:$i > $i > $o]:(((c_irreflexive_i @ X372)<=>![X2:$i]:(((~(X372 @ X2 @ X2)|(c_not @ $true))&((X372 @ X2 @ X2)|(c_not @ $false)))))), inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax30])])])). 70.94/15.66 thf(c_0_56, plain, ![X4:$i, X2:$i, X1:$i]:((~((c_In @ X1 @ X2))|~((c_In @ X2 @ X4))|~((c_and @ (($true)) @ (($true))))|~((epred18_2 @ X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_48])). 70.94/15.66 thf(c_0_57, plain, (c_and @ (($true)) @ (($true))), inference(spm,[status(thm)],[c_0_49, c_0_50])). 70.94/15.66 thf(c_0_58, plain, ![X2:$i, X1:$i]:(((c_In @ X1 @ (c_Union @ X2))|(epred18_2 @ X2 @ X1))), inference(sr,[status(thm)],[c_0_51, c_0_52])). 70.94/15.66 thf(c_0_59, plain, ![X1:$i]:(((c_Union @ X1)=(c_Empty))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_54])). 70.94/15.66 thf(c_0_60, plain, ![X735:$i > $i > $o, X736:$i, X737:$i, X738:$i > $i > $o]:((((~(X735 @ X736 @ X736)|(c_not @ $true)|~(c_irreflexive_i @ X735))&((X735 @ X737 @ X737)|(c_not @ $false)|~(c_irreflexive_i @ X735)))&(((~(X738 @ (esk54_1 @ X738) @ (esk54_1 @ X738))|(X738 @ (esk53_1 @ X738) @ (esk53_1 @ X738))|(c_irreflexive_i @ X738))&(~(c_not @ $false)|(X738 @ (esk53_1 @ X738) @ (esk53_1 @ X738))|(c_irreflexive_i @ X738)))&((~(X738 @ (esk54_1 @ X738) @ (esk54_1 @ X738))|~(c_not @ $true)|(c_irreflexive_i @ X738))&(~(c_not @ $false)|~(c_not @ $true)|(c_irreflexive_i @ X738)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])])])])])). 70.94/15.66 thf(c_0_61, plain, ![X1:$i, X2:$i, X4:$i]:((~((c_In @ X1 @ X2))|~((c_In @ X4 @ X1))|~((epred18_2 @ X2 @ X4)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_57])])). 70.94/15.66 thf(c_0_62, plain, ![X1:$i, X2:$i]:((epred18_2 @ X1 @ X2)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_59]), c_0_35])). 70.94/15.66 thf(c_0_63, plain, ![X8:$i > $i > $o]:(((X8 @ (esk53_1 @ X8) @ (esk53_1 @ X8))|(c_irreflexive_i @ X8)|~((c_not @ (~($true)))))), inference(split_conjunct,[status(thm)],[c_0_60])). 70.94/15.66 thf(c_0_64, plain, ![X4:$i, X2:$i, X1:$i]:((~((c_In @ X1 @ X2))|~((c_In @ X4 @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_62])])). 70.94/15.66 thf(c_0_65, plain, ![X8:$i > $i > $o]:(((X8 @ (esk53_1 @ X8) @ (esk53_1 @ X8))|(c_irreflexive_i @ X8))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_23])])). 70.94/15.66 thf(c_0_66, axiom, ![X1:$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 @ $false)))))), inference(fool_unroll,[status(thm)],[ax7])). 70.94/15.66 thf(c_0_67, plain, ![X1:$i, X8:$i > $i > $o]:(((c_not @ (($true)))|~((X8 @ X1 @ X1))|~((c_irreflexive_i @ X8)))), inference(split_conjunct,[status(thm)],[c_0_60])). 70.94/15.66 thf(c_0_68, plain, ![X1:$i]:(((c_irreflexive_i @ c_In)|~((c_In @ X1 @ (esk53_1 @ c_In))))), inference(spm,[status(thm)],[c_0_64, c_0_65])). 70.94/15.66 thf(c_0_69, plain, ![X781:$i, X782:$i]:((((~(c_Subq @ X782 @ X781)|(c_iff @ $true @ $true)|~(c_In @ X782 @ (c_Power @ X781)))&((c_Subq @ X782 @ X781)|(c_iff @ $true @ $false)|~(c_In @ X782 @ (c_Power @ X781))))&((~(c_Subq @ X782 @ X781)|(c_iff @ $false @ $true)|(c_In @ X782 @ (c_Power @ X781)))&((c_Subq @ X782 @ X781)|(c_iff @ $false @ $false)|(c_In @ X782 @ (c_Power @ X781)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_66])])])). 70.94/15.66 thf(c_0_70, plain, ![X8:$i > $i > $o, X1:$i]:((~((c_irreflexive_i @ X8))|~((X8 @ X1 @ X1)))), inference(sr,[status(thm)],[c_0_67, c_0_30])). 70.94/15.66 thf(c_0_71, plain, (c_irreflexive_i @ c_In), inference(spm,[status(thm)],[c_0_68, c_0_65])). 70.94/15.66 thf(c_0_72, 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_69])). 70.94/15.66 thf(c_0_73, plain, ![X1:$i]:(~((c_In @ X1 @ X1))), inference(spm,[status(thm)],[c_0_70, c_0_71])). 70.94/15.66 thf(c_0_74, plain, ![X1:$i, X2:$i]:(((c_In @ X1 @ (c_Power @ X2))|~((c_Subq @ X1 @ X2)))), inference(sr,[status(thm)],[c_0_72, c_0_52])). 70.94/15.66 thf(c_0_75, plain, ![X1:$i, X3:$i > $i]:(((X3 @ X1)=(X3 @ c_Empty))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_53]), c_0_53])). 70.94/15.66 thf(c_0_76, plain, ![X1:$i]:(~((c_Subq @ (c_Power @ X1) @ X1))), inference(spm,[status(thm)],[c_0_73, c_0_74])). 70.94/15.66 thf(c_0_77, plain, ![X1:$i, X3:$i > $i, X2:$i]:(((X3 @ X1)=(X3 @ X2))), inference(spm,[status(thm)],[c_0_75, c_0_75])). 70.94/15.66 thf(c_0_78, plain, ![X1:$i, X2:$i]:(((c_Subq @ X1 @ X2)|~((c_In @ (esk55_2 @ X1 @ X2) @ X2)))), inference(split_conjunct,[status(thm)],[c_0_31])). 70.94/15.66 thf(c_0_79, plain, ![X1:$i, X2:$i]:(~((c_Subq @ (c_Power @ X1) @ X2))), inference(spm,[status(thm)],[c_0_76, c_0_77])). 70.94/15.66 thf(c_0_80, plain, ![X1:$i]:((c_Subq @ X1 @ X1)), inference(spm,[status(thm)],[c_0_78, c_0_36])). 70.94/15.66 thf(c_0_81, plain, ($false), inference(spm,[status(thm)],[c_0_79, c_0_80]), ['proof']). 70.94/15.66 # SZS output end CNFRefutation 70.94/15.66 # Parsed axioms : 213 70.94/15.66 # Removed by relevancy pruning/SinE : 0 70.94/15.66 # Initial clauses : 468687 70.94/15.66 # Removed in clause preprocessing : 463862 70.94/15.66 # Initial clauses in saturation : 4825 70.94/15.66 # Processed clauses : 7667 70.94/15.66 # ...of these trivial : 328 70.94/15.66 # ...subsumed : 3958 70.94/15.66 # ...remaining for further processing : 3381 70.94/15.66 # Other redundant clauses eliminated : 130 70.94/15.66 # Clauses deleted for lack of memory : 0 70.94/15.66 # Backward-subsumed : 202 70.94/15.66 # Backward-rewritten : 495 70.94/15.66 # Generated clauses : 42389 70.94/15.66 # ...of the previous two non-redundant : 40911 70.94/15.66 # ...aggressively subsumed : 0 70.94/15.66 # Contextual simplify-reflections : 281 70.94/15.66 # Paramodulations : 42233 70.94/15.66 # Factorizations : 0 70.94/15.66 # NegExts : 0 70.94/15.66 # Equation resolutions : 130 70.94/15.66 # Disequality decompositions : 0 70.94/15.66 # Total rewrite steps : 14864 70.94/15.66 # ...of those cached : 13230 70.94/15.66 # Propositional unsat checks : 0 70.94/15.66 # Propositional check models : 0 70.94/15.66 # Propositional check unsatisfiable : 0 70.94/15.66 # Propositional clauses : 0 70.94/15.66 # Propositional clauses after purity: 0 70.94/15.66 # Propositional unsat core size : 0 70.94/15.66 # Propositional preprocessing time : 0.000 70.94/15.66 # Propositional encoding time : 0.000 70.94/15.66 # Propositional solver time : 0.000 70.94/15.66 # Success case prop preproc time : 0.000 70.94/15.66 # Success case prop encoding time : 0.000 70.94/15.66 # Success case prop solver time : 0.000 70.94/15.66 # Current number of processed clauses : 1404 70.94/15.66 # Positive orientable unit clauses : 155 70.94/15.66 # Positive unorientable unit clauses: 5 70.94/15.66 # Negative unit clauses : 91 70.94/15.66 # Non-unit-clauses : 1153 70.94/15.66 # Current number of unprocessed clauses: 39133 70.94/15.66 # ...number of literals in the above : 193025 70.94/15.66 # Current number of archived formulas : 0 70.94/15.66 # Current number of archived clauses : 1919 70.94/15.66 # Clause-clause subsumption calls (NU) : 1820657 70.94/15.66 # Rec. Clause-clause subsumption calls : 425135 70.94/15.66 # Non-unit clause-clause subsumptions : 1791 70.94/15.66 # Unit Clause-clause subsumption calls : 98586 70.94/15.66 # Rewrite failures with RHS unbound : 0 70.94/15.66 # BW rewrite match attempts : 14909 70.94/15.66 # BW rewrite match successes : 1226 70.94/15.66 # Condensation attempts : 7876 70.94/15.66 # Condensation successes : 222 70.94/15.66 # Termbank termtop insertions : 21205142 70.94/15.66 # Search garbage collected termcells : 2011560 70.94/15.66 70.94/15.66 # ------------------------------------------------- 70.94/15.66 # User time : 13.610 s 70.94/15.66 # System time : 1.023 s 70.94/15.66 # Total time : 14.633 s 70.94/15.66 # Maximum resident set size: 1255260 pages 70.94/15.66 70.94/15.66 # ------------------------------------------------- 70.94/15.66 # User time : 13.616 s 70.94/15.66 # System time : 1.124 s 70.94/15.66 # Total time : 14.740 s 70.94/15.66 # Maximum resident set size: 2104 pages 70.94/15.66 % E---3.1 exiting 70.94/15.66 % E exiting 70.94/15.66 EOF