0.12/0.15 % Problem : Vampire---4.8_30112 : TPTP v0.0.0. Released v0.0.0. 0.12/0.16 % Command : run_E %s %d THM 0.16/0.38 % Computer : n002.cluster.edu 0.16/0.38 % Model : x86_64 x86_64 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.38 % Memory : 8042.1875MB 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.38 % CPULimit : 1440 0.16/0.38 % WCLimit : 180 0.16/0.38 % DateTime : Mon Jul 3 13:09:07 EDT 2023 0.16/0.38 % CPUTime : 0.23/0.54 Running higher-order theorem provingRunning: /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.mHABLVk6Xf/Vampire---4.8_30112 0.23/0.54 # Version: 3.1pre001-ho 0.38/0.57 # Preprocessing class: HSMMSLSSLLLNHFA. 0.38/0.57 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.38/0.57 # Starting new_ho_10_cnf2 with 900s (5) cores 0.38/0.57 # Starting post_as_ho1 with 180s (1) cores 0.38/0.57 # Starting post_as_ho5 with 180s (1) cores 0.38/0.57 # Starting post_as_ho10 with 180s (1) cores 0.38/0.57 # post_as_ho5 with pid 30293 completed with status 0 0.38/0.57 # Result found by post_as_ho5 0.38/0.57 # Preprocessing class: HSMMSLSSLLLNHFA. 0.38/0.57 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.38/0.57 # Starting new_ho_10_cnf2 with 900s (5) cores 0.38/0.57 # Starting post_as_ho1 with 180s (1) cores 0.38/0.57 # Starting post_as_ho5 with 180s (1) cores 0.38/0.57 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 0.38/0.57 # Search class: HGUSF-FFMF21-MHFMMMBN 0.38/0.57 # partial match(2): HGUSS-FFMF31-MHFMMMBN 0.38/0.57 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.38/0.57 # Starting new_ho_10_cnf2 with 98s (1) cores 0.38/0.57 # new_ho_10_cnf2 with pid 30295 completed with status 0 0.38/0.57 # Result found by new_ho_10_cnf2 0.38/0.57 # Preprocessing class: HSMMSLSSLLLNHFA. 0.38/0.57 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.38/0.57 # Starting new_ho_10_cnf2 with 900s (5) cores 0.38/0.57 # Starting post_as_ho1 with 180s (1) cores 0.38/0.57 # Starting post_as_ho5 with 180s (1) cores 0.38/0.57 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 0.38/0.57 # Search class: HGUSF-FFMF21-MHFMMMBN 0.38/0.57 # partial match(2): HGUSS-FFMF31-MHFMMMBN 0.38/0.57 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.38/0.57 # Starting new_ho_10_cnf2 with 98s (1) cores 0.38/0.57 # Preprocessing time : 0.004 s 0.38/0.57 # Presaturation interreduction done 0.38/0.57 0.38/0.57 # Proof found! 0.38/0.57 # SZS status Theorem 0.38/0.57 # SZS output start CNFRefutation 0.38/0.57 thf(decl_22, type, one: term). 0.38/0.57 thf(decl_24, type, lam: term > term). 0.38/0.57 thf(decl_25, type, sub: term > subst > term). 0.38/0.57 thf(decl_26, type, id: subst). 0.38/0.57 thf(decl_27, type, sh: subst). 0.38/0.57 thf(decl_28, type, push: term > subst > subst). 0.38/0.57 thf(decl_29, type, comp: subst > subst > subst). 0.38/0.57 thf(decl_41, type, axvarshift: $o). 0.38/0.57 thf(decl_73, type, hoasinduction_lem3a_lthm: $o). 0.38/0.57 thf(decl_75, type, hoasinduction_lem3aa: $o). 0.38/0.57 thf(decl_93, type, hoaslam: subst > (subst > term > term) > term). 0.38/0.57 thf(decl_122, type, hoasinduction_lem3a: $o). 0.38/0.57 thf(decl_142, type, axvarid: $o). 0.38/0.57 thf(decl_144, type, esk1_1: (subst > term > subst > $o) > subst > term > term). 0.38/0.57 thf(decl_145, type, esk2_2: (subst > term > subst > $o) > term > term). 0.38/0.57 thf(decl_146, type, epred1_0: subst > term > subst > $o). 0.38/0.57 thf(decl_147, type, esk3_1: (subst > term > term) > subst). 0.38/0.57 thf(decl_148, type, esk4_1: (subst > term > term) > term). 0.38/0.57 thf(decl_149, type, esk5_1: (subst > term > term) > subst). 0.38/0.57 thf(decl_150, type, esk6_1: (subst > term > term) > term). 0.38/0.57 thf(decl_151, type, esk7_0: term). 0.38/0.57 thf(hoasinduction_lem3aa, axiom, ((hoasinduction_lem3aa)<=>![X22:subst > term > subst > $o]:((![X12:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X12 @ X3 @ X1) @ X4)=(X12 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>(![X1:term]:(((X22 @ id @ X1 @ id)=>(X22 @ id @ (X12 @ id @ X1) @ id)))=>(X22 @ id @ (hoaslam @ id @ (^[X3:subst, X1:term]:(X12 @ X3 @ X1))) @ id))))=>![X1:term]:((![X2:term]:(((X22 @ id @ X2 @ id)=>(X22 @ id @ (sub @ X1 @ (push @ X2 @ id)) @ id)))=>(X22 @ id @ (lam @ (sub @ X1 @ (push @ one @ sh))) @ id)))))), file('/export/starexec/sandbox/tmp/tmp.mHABLVk6Xf/Vampire---4.8_30112', hoasinduction_lem3aa)). 0.38/0.57 thf(hoasinduction_lem3a, axiom, ((hoasinduction_lem3a)<=>![X25:subst > term > subst > $o]:((![X12:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X12 @ X3 @ X1) @ X4)=(X12 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>(![X1:term]:(((X25 @ id @ X1 @ id)=>(X25 @ id @ (X12 @ id @ X1) @ id)))=>(X25 @ id @ (hoaslam @ id @ (^[X3:subst, X1:term]:(X12 @ X3 @ X1))) @ id))))=>![X1:term]:((![X2:term]:(((X25 @ id @ X2 @ id)=>(X25 @ id @ (sub @ X1 @ (push @ X2 @ id)) @ id)))=>(X25 @ id @ (lam @ X1) @ id)))))), file('/export/starexec/sandbox/tmp/tmp.mHABLVk6Xf/Vampire---4.8_30112', hoasinduction_lem3a)). 0.38/0.57 thf(hoasinduction_lem3a_lthm, axiom, ((hoasinduction_lem3a_lthm)<=>((axvarid)=>((axvarshift)=>((hoasinduction_lem3aa)=>(hoasinduction_lem3a))))), file('/export/starexec/sandbox/tmp/tmp.mHABLVk6Xf/Vampire---4.8_30112', hoasinduction_lem3a_lthm)). 0.38/0.57 thf(axvarid, axiom, ((axvarid)<=>![X1:term]:(((sub @ X1 @ id)=(X1)))), file('/export/starexec/sandbox/tmp/tmp.mHABLVk6Xf/Vampire---4.8_30112', axvarid)). 0.38/0.57 thf(axvarshift, axiom, ((axvarshift)<=>((push @ one @ sh)=(id))), file('/export/starexec/sandbox/tmp/tmp.mHABLVk6Xf/Vampire---4.8_30112', axvarshift)). 0.38/0.57 thf(thm, conjecture, (hoasinduction_lem3a_lthm), file('/export/starexec/sandbox/tmp/tmp.mHABLVk6Xf/Vampire---4.8_30112', thm)). 0.38/0.57 thf(c_0_6, plain, ((hoasinduction_lem3aa)<=>![X22:subst > term > subst > $o]:((![X12:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X12 @ X3 @ X1) @ X4)=(X12 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>(![X1:term]:(((X22 @ id @ X1 @ id)=>(X22 @ id @ (X12 @ id @ X1) @ id)))=>(X22 @ id @ (hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X12 @ Z0 @ Z1))) @ id))))=>![X1:term]:((![X2:term]:(((X22 @ id @ X2 @ id)=>(X22 @ id @ (sub @ X1 @ (push @ X2 @ id)) @ id)))=>(X22 @ id @ (lam @ (sub @ X1 @ (push @ one @ sh))) @ id)))))), inference(fof_simplification,[status(thm)],[hoasinduction_lem3aa])). 0.38/0.57 thf(c_0_7, plain, ((hoasinduction_lem3a)<=>![X25:subst > term > subst > $o]:((![X12:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X12 @ X3 @ X1) @ X4)=(X12 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>(![X1:term]:(((X25 @ id @ X1 @ id)=>(X25 @ id @ (X12 @ id @ X1) @ id)))=>(X25 @ id @ (hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X12 @ Z0 @ Z1))) @ id))))=>![X1:term]:((![X2:term]:(((X25 @ id @ X2 @ id)=>(X25 @ id @ (sub @ X1 @ (push @ X2 @ id)) @ id)))=>(X25 @ id @ (lam @ X1) @ id)))))), inference(fof_simplification,[status(thm)],[hoasinduction_lem3a])). 0.38/0.57 thf(c_0_8, axiom, ((hoasinduction_lem3a_lthm)=(((![X45:term]:(((sub @ X45 @ id)=(X45))))=>((((push @ one @ sh)=(id)))=>((![X46:subst > term > subst > $o]:((![X47:subst > term > term]:((![X48:subst, X49:term, X50:subst]:(((sub @ (X47 @ X48 @ X49) @ X50)=(X47 @ (comp @ X48 @ X50) @ (sub @ X49 @ X50))))=>(![X51:term]:(((X46 @ id @ X51 @ id)=>(X46 @ id @ (X47 @ id @ X51) @ id)))=>(X46 @ id @ (hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X47 @ Z0 @ Z1))) @ id))))=>![X52:term]:((![X53:term]:(((X46 @ id @ X53 @ id)=>(X46 @ id @ (sub @ X52 @ (push @ X53 @ id)) @ id)))=>(X46 @ id @ (lam @ (sub @ X52 @ (push @ one @ sh))) @ id))))))=>(![X54:subst > term > subst > $o]:((![X55:subst > term > term]:((![X56:subst, X57:term, X58:subst]:(((sub @ (X55 @ X56 @ X57) @ X58)=(X55 @ (comp @ X56 @ X58) @ (sub @ X57 @ X58))))=>(![X59:term]:(((X54 @ id @ X59 @ id)=>(X54 @ id @ (X55 @ id @ X59) @ id)))=>(X54 @ id @ (hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X55 @ Z0 @ Z1))) @ id))))=>![X60:term]:((![X61:term]:(((X54 @ id @ X61 @ id)=>(X54 @ id @ (sub @ X60 @ (push @ X61 @ id)) @ id)))=>(X54 @ id @ (lam @ X60) @ id))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[hoasinduction_lem3a_lthm, axvarid]), axvarshift]), c_0_6]), c_0_7])). 0.38/0.57 thf(c_0_9, negated_conjecture, ~((![X62:term]:(((sub @ X62 @ id)=(X62)))=>(((push @ one @ sh)=(id))=>(![X63:subst > term > subst > $o]:((![X64:subst > term > term]:((![X65:subst, X66:term, X67:subst]:(((sub @ (X64 @ X65 @ X66) @ X67)=(X64 @ (comp @ X65 @ X67) @ (sub @ X66 @ X67))))=>(![X68:term]:(((X63 @ id @ X68 @ id)=>(X63 @ id @ (X64 @ id @ X68) @ id)))=>(X63 @ id @ (hoaslam @ id @ X64) @ id))))=>![X69:term]:((![X70:term]:(((X63 @ id @ X70 @ id)=>(X63 @ id @ (sub @ X69 @ (push @ X70 @ id)) @ id)))=>(X63 @ id @ (lam @ (sub @ X69 @ (push @ one @ sh))) @ id)))))=>![X71:subst > term > subst > $o]:((![X72:subst > term > term]:((![X73:subst, X74:term, X75:subst]:(((sub @ (X72 @ X73 @ X74) @ X75)=(X72 @ (comp @ X73 @ X75) @ (sub @ X74 @ X75))))=>(![X76:term]:(((X71 @ id @ X76 @ id)=>(X71 @ id @ (X72 @ id @ X76) @ id)))=>(X71 @ id @ (hoaslam @ id @ X72) @ id))))=>![X77:term]:((![X78:term]:(((X71 @ id @ X78 @ id)=>(X71 @ id @ (sub @ X77 @ (push @ X78 @ id)) @ id)))=>(X71 @ id @ (lam @ X77) @ id))))))))), inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]), c_0_8])])). 0.38/0.57 thf(c_0_10, negated_conjecture, ![X79:term, X80:subst > term > subst > $o, X82:subst, X83:term, X84:subst, X85:term, X86:term, X89:subst > term > term, X95:term]:((((sub @ X79 @ id)=(X79))&(((push @ one @ sh)=(id))&(((((X80 @ id @ (esk2_2 @ X80 @ X86) @ id)|(X80 @ id @ (lam @ (sub @ X86 @ (push @ one @ sh))) @ id)|((sub @ (esk1_1 @ X80 @ X82 @ X83) @ X84)=(esk1_1 @ X80 @ (comp @ X82 @ X84) @ (sub @ X83 @ X84))))&(~(X80 @ id @ (sub @ X86 @ (push @ (esk2_2 @ X80 @ X86) @ id)) @ id)|(X80 @ id @ (lam @ (sub @ X86 @ (push @ one @ sh))) @ id)|((sub @ (esk1_1 @ X80 @ X82 @ X83) @ X84)=(esk1_1 @ X80 @ (comp @ X82 @ X84) @ (sub @ X83 @ X84)))))&((((X80 @ id @ (esk2_2 @ X80 @ X86) @ id)|(X80 @ id @ (lam @ (sub @ X86 @ (push @ one @ sh))) @ id)|(~(X80 @ id @ X85 @ id)|(X80 @ id @ (esk1_1 @ X80 @ id @ X85) @ id)))&(~(X80 @ id @ (sub @ X86 @ (push @ (esk2_2 @ X80 @ X86) @ id)) @ id)|(X80 @ id @ (lam @ (sub @ X86 @ (push @ one @ sh))) @ id)|(~(X80 @ id @ X85 @ id)|(X80 @ id @ (esk1_1 @ X80 @ id @ X85) @ id))))&(((X80 @ id @ (esk2_2 @ X80 @ X86) @ id)|(X80 @ id @ (lam @ (sub @ X86 @ (push @ one @ sh))) @ id)|~(X80 @ id @ (hoaslam @ id @ (esk1_1 @ X80)) @ id))&(~(X80 @ id @ (sub @ X86 @ (push @ (esk2_2 @ X80 @ X86) @ id)) @ id)|(X80 @ id @ (lam @ (sub @ X86 @ (push @ one @ sh))) @ id)|~(X80 @ id @ (hoaslam @ id @ (esk1_1 @ X80)) @ id)))))&((((epred1_0 @ id @ (esk6_1 @ X89) @ id)|(epred1_0 @ id @ (hoaslam @ id @ X89) @ id)|((sub @ (X89 @ (esk3_1 @ X89) @ (esk4_1 @ X89)) @ (esk5_1 @ X89))!=(X89 @ (comp @ (esk3_1 @ X89) @ (esk5_1 @ X89)) @ (sub @ (esk4_1 @ X89) @ (esk5_1 @ X89)))))&(~(epred1_0 @ id @ (X89 @ id @ (esk6_1 @ X89)) @ id)|(epred1_0 @ id @ (hoaslam @ id @ X89) @ id)|((sub @ (X89 @ (esk3_1 @ X89) @ (esk4_1 @ X89)) @ (esk5_1 @ X89))!=(X89 @ (comp @ (esk3_1 @ X89) @ (esk5_1 @ X89)) @ (sub @ (esk4_1 @ X89) @ (esk5_1 @ X89))))))&((~(epred1_0 @ id @ X95 @ id)|(epred1_0 @ id @ (sub @ esk7_0 @ (push @ X95 @ id)) @ id))&~(epred1_0 @ id @ (lam @ esk7_0) @ id))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])). 0.38/0.57 thf(c_0_11, negated_conjecture, ![X3:subst, X2:term, X14:subst > term > subst > $o, X4:subst, X1:term]:(((X14 @ id @ (lam @ (sub @ X1 @ (push @ one @ sh))) @ id)|((sub @ (esk1_1 @ X14 @ X3 @ X2) @ X4)=(esk1_1 @ X14 @ (comp @ X3 @ X4) @ (sub @ X2 @ X4)))|~((X14 @ id @ (sub @ X1 @ (push @ (esk2_2 @ X14 @ X1) @ id)) @ id)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.38/0.57 thf(c_0_12, negated_conjecture, ((push @ one @ sh)=(id)), inference(split_conjunct,[status(thm)],[c_0_10])). 0.38/0.57 thf(c_0_13, negated_conjecture, ![X1:term]:(((sub @ X1 @ id)=(X1))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.38/0.57 thf(c_0_14, negated_conjecture, ![X1:term, X14:subst > term > subst > $o]:(((X14 @ id @ (lam @ (sub @ X1 @ (push @ one @ sh))) @ id)|~((X14 @ id @ (sub @ X1 @ (push @ (esk2_2 @ X14 @ X1) @ id)) @ id))|~((X14 @ id @ (hoaslam @ id @ (esk1_1 @ X14)) @ id)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.38/0.57 thf(c_0_15, negated_conjecture, ![X1:term, X2:term, X3:subst, X14:subst > term > subst > $o, X4:subst]:(((X14 @ id @ (esk2_2 @ X14 @ X1) @ id)|(X14 @ id @ (lam @ (sub @ X1 @ (push @ one @ sh))) @ id)|((sub @ (esk1_1 @ X14 @ X3 @ X2) @ X4)=(esk1_1 @ X14 @ (comp @ X3 @ X4) @ (sub @ X2 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.38/0.57 thf(c_0_16, negated_conjecture, ![X1:term, X3:subst, X14:subst > term > subst > $o, X4:subst, X2:term]:((((esk1_1 @ X14 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))=(sub @ (esk1_1 @ X14 @ X3 @ X1) @ X4))|(X14 @ id @ (lam @ X2) @ id)|~((X14 @ id @ (sub @ X2 @ (push @ (esk2_2 @ X14 @ X2) @ id)) @ id)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12]), c_0_13])). 0.38/0.57 thf(c_0_17, negated_conjecture, ![X1:term]:(((epred1_0 @ id @ (sub @ esk7_0 @ (push @ X1 @ id)) @ id)|~((epred1_0 @ id @ X1 @ id)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.38/0.57 thf(c_0_18, negated_conjecture, ~((epred1_0 @ id @ (lam @ esk7_0) @ id)), inference(split_conjunct,[status(thm)],[c_0_10])). 0.38/0.57 thf(c_0_19, negated_conjecture, ![X1:term, X14:subst > term > subst > $o]:(((X14 @ id @ (lam @ X1) @ id)|~((X14 @ id @ (sub @ X1 @ (push @ (esk2_2 @ X14 @ X1) @ id)) @ id))|~((X14 @ id @ (hoaslam @ id @ (esk1_1 @ X14)) @ id)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_12]), c_0_13])). 0.38/0.57 thf(c_0_20, negated_conjecture, ![X1:term, X14:subst > term > subst > $o, X2:term]:(((X14 @ id @ (lam @ (sub @ X1 @ (push @ one @ sh))) @ id)|(X14 @ id @ (esk1_1 @ X14 @ id @ X2) @ id)|~((X14 @ id @ (sub @ X1 @ (push @ (esk2_2 @ X14 @ X1) @ id)) @ id))|~((X14 @ id @ X2 @ id)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.38/0.57 thf(c_0_21, negated_conjecture, ![X1:term, X14:subst > term > subst > $o, X2:term]:(((X14 @ id @ (esk2_2 @ X14 @ X1) @ id)|(X14 @ id @ (lam @ (sub @ X1 @ (push @ one @ sh))) @ id)|(X14 @ id @ (esk1_1 @ X14 @ id @ X2) @ id)|~((X14 @ id @ X2 @ id)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.38/0.57 thf(c_0_22, negated_conjecture, ![X12:subst > term > term]:(((epred1_0 @ id @ (esk6_1 @ X12) @ id)|(epred1_0 @ id @ (hoaslam @ id @ X12) @ id)|((sub @ (X12 @ (esk3_1 @ X12) @ (esk4_1 @ X12)) @ (esk5_1 @ X12))!=(X12 @ (comp @ (esk3_1 @ X12) @ (esk5_1 @ X12)) @ (sub @ (esk4_1 @ X12) @ (esk5_1 @ X12)))))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.38/0.57 thf(c_0_23, negated_conjecture, ![X1:term, X3:subst, X14:subst > term > subst > $o, X4:subst, X2:term]:((((esk1_1 @ X14 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))=(sub @ (esk1_1 @ X14 @ X3 @ X1) @ X4))|(X14 @ id @ (esk2_2 @ X14 @ X2) @ id)|(X14 @ id @ (lam @ X2) @ id))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_12]), c_0_13])). 0.38/0.57 thf(c_0_24, negated_conjecture, ![X12:subst > term > term]:(((epred1_0 @ id @ (hoaslam @ id @ X12) @ id)|~((epred1_0 @ id @ (X12 @ id @ (esk6_1 @ X12)) @ id))|((sub @ (X12 @ (esk3_1 @ X12) @ (esk4_1 @ X12)) @ (esk5_1 @ X12))!=(X12 @ (comp @ (esk3_1 @ X12) @ (esk5_1 @ X12)) @ (sub @ (esk4_1 @ X12) @ (esk5_1 @ X12)))))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.38/0.57 thf(c_0_25, negated_conjecture, ![X1:term, X3:subst, X4:subst]:((((esk1_1 @ epred1_0 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))=(sub @ (esk1_1 @ epred1_0 @ X3 @ X1) @ X4))|~((epred1_0 @ id @ (esk2_2 @ epred1_0 @ esk7_0) @ id)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])). 0.38/0.57 thf(c_0_26, negated_conjecture, (~((epred1_0 @ id @ (hoaslam @ id @ (esk1_1 @ epred1_0)) @ id))|~((epred1_0 @ id @ (esk2_2 @ epred1_0 @ esk7_0) @ id))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_17]), c_0_18])). 0.38/0.57 thf(c_0_27, negated_conjecture, ![X14:subst > term > subst > $o, X2:term, X1:term]:(((X14 @ id @ (esk1_1 @ X14 @ id @ X1) @ id)|(X14 @ id @ (lam @ X2) @ id)|~((X14 @ id @ (sub @ X2 @ (push @ (esk2_2 @ X14 @ X2) @ id)) @ id))|~((X14 @ id @ X1 @ id)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_12]), c_0_13])). 0.38/0.57 thf(c_0_28, negated_conjecture, ![X14:subst > term > subst > $o, X2:term, X1:term]:(((X14 @ id @ (esk1_1 @ X14 @ id @ X1) @ id)|(X14 @ id @ (esk2_2 @ X14 @ X2) @ id)|(X14 @ id @ (lam @ X2) @ id)|~((X14 @ id @ X1 @ id)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_12]), c_0_13])). 0.38/0.57 thf(c_0_29, negated_conjecture, ![X14:subst > term > subst > $o, X1:term]:(((epred1_0 @ id @ (hoaslam @ id @ (esk1_1 @ X14)) @ id)|(epred1_0 @ id @ (esk6_1 @ (esk1_1 @ X14)) @ id)|(X14 @ id @ (esk2_2 @ X14 @ X1) @ id)|(X14 @ id @ (lam @ X1) @ id))), inference(spm,[status(thm)],[c_0_22, c_0_23])). 0.38/0.57 thf(c_0_30, negated_conjecture, ![X1:term, X14:subst > term > subst > $o]:(((X14 @ id @ (esk2_2 @ X14 @ X1) @ id)|(X14 @ id @ (lam @ (sub @ X1 @ (push @ one @ sh))) @ id)|~((X14 @ id @ (hoaslam @ id @ (esk1_1 @ X14)) @ id)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.38/0.57 thf(c_0_31, negated_conjecture, (~((epred1_0 @ id @ (esk1_1 @ epred1_0 @ id @ (esk6_1 @ (esk1_1 @ epred1_0))) @ id))|~((epred1_0 @ id @ (esk2_2 @ epred1_0 @ esk7_0) @ id))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])). 0.38/0.57 thf(c_0_32, negated_conjecture, ![X1:term]:(((epred1_0 @ id @ (esk1_1 @ epred1_0 @ id @ X1) @ id)|~((epred1_0 @ id @ (esk2_2 @ epred1_0 @ esk7_0) @ id))|~((epred1_0 @ id @ X1 @ id)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_17]), c_0_18])). 0.38/0.57 thf(c_0_33, negated_conjecture, ((epred1_0 @ id @ (esk6_1 @ (esk1_1 @ epred1_0)) @ id)|~((epred1_0 @ id @ (esk2_2 @ epred1_0 @ esk7_0) @ id))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_25]), c_0_26])). 0.38/0.57 thf(c_0_34, negated_conjecture, ![X1:term, X14:subst > term > subst > $o]:(((epred1_0 @ id @ (hoaslam @ id @ (esk1_1 @ X14)) @ id)|(X14 @ id @ (esk2_2 @ X14 @ X1) @ id)|(X14 @ id @ (lam @ X1) @ id)|~((epred1_0 @ id @ (esk1_1 @ X14 @ id @ (esk6_1 @ (esk1_1 @ X14))) @ id)))), inference(spm,[status(thm)],[c_0_24, c_0_23])). 0.38/0.57 thf(c_0_35, negated_conjecture, ![X1:term, X14:subst > term > subst > $o, X2:term]:(((epred1_0 @ id @ (esk1_1 @ epred1_0 @ id @ (esk6_1 @ (esk1_1 @ X14))) @ id)|(epred1_0 @ id @ (hoaslam @ id @ (esk1_1 @ X14)) @ id)|(epred1_0 @ id @ (esk2_2 @ epred1_0 @ X1) @ id)|(X14 @ id @ (esk2_2 @ X14 @ X2) @ id)|(epred1_0 @ id @ (lam @ X1) @ id)|(X14 @ id @ (lam @ X2) @ id))), inference(spm,[status(thm)],[c_0_28, c_0_29])). 0.38/0.57 thf(c_0_36, negated_conjecture, ![X1:term, X14:subst > term > subst > $o]:(((X14 @ id @ (esk2_2 @ X14 @ X1) @ id)|(X14 @ id @ (lam @ X1) @ id)|~((X14 @ id @ (hoaslam @ id @ (esk1_1 @ X14)) @ id)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_12]), c_0_13])). 0.38/0.57 thf(c_0_37, negated_conjecture, ~((epred1_0 @ id @ (esk2_2 @ epred1_0 @ esk7_0) @ id)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33])). 0.38/0.57 thf(c_0_38, negated_conjecture, ![X1:term]:(((epred1_0 @ id @ (esk2_2 @ epred1_0 @ X1) @ id)|(epred1_0 @ id @ (lam @ X1) @ id))), inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35])]), c_0_36])). 0.38/0.57 thf(c_0_39, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_18]), ['proof']). 0.38/0.57 # SZS output end CNFRefutation 0.38/0.57 # Parsed axioms : 238 0.38/0.57 # Removed by relevancy pruning/SinE : 232 0.38/0.57 # Initial clauses : 12 0.38/0.57 # Removed in clause preprocessing : 0 0.38/0.57 # Initial clauses in saturation : 12 0.38/0.57 # Processed clauses : 65 0.38/0.57 # ...of these trivial : 4 0.38/0.57 # ...subsumed : 13 0.38/0.57 # ...remaining for further processing : 48 0.38/0.57 # Other redundant clauses eliminated : 0 0.38/0.57 # Clauses deleted for lack of memory : 0 0.38/0.57 # Backward-subsumed : 15 0.38/0.57 # Backward-rewritten : 1 0.38/0.57 # Generated clauses : 123 0.38/0.57 # ...of the previous two non-redundant : 113 0.38/0.57 # ...aggressively subsumed : 0 0.38/0.57 # Contextual simplify-reflections : 8 0.38/0.57 # Paramodulations : 113 0.38/0.57 # Factorizations : 4 0.38/0.57 # NegExts : 0 0.38/0.57 # Equation resolutions : 0 0.38/0.57 # Total rewrite steps : 31 0.38/0.57 # Propositional unsat checks : 0 0.38/0.57 # Propositional check models : 0 0.38/0.57 # Propositional check unsatisfiable : 0 0.38/0.57 # Propositional clauses : 0 0.38/0.57 # Propositional clauses after purity: 0 0.38/0.57 # Propositional unsat core size : 0 0.38/0.57 # Propositional preprocessing time : 0.000 0.38/0.57 # Propositional encoding time : 0.000 0.38/0.57 # Propositional solver time : 0.000 0.38/0.57 # Success case prop preproc time : 0.000 0.38/0.57 # Success case prop encoding time : 0.000 0.38/0.57 # Success case prop solver time : 0.000 0.38/0.57 # Current number of processed clauses : 20 0.38/0.57 # Positive orientable unit clauses : 4 0.38/0.57 # Positive unorientable unit clauses: 0 0.38/0.57 # Negative unit clauses : 2 0.38/0.57 # Non-unit-clauses : 14 0.38/0.57 # Current number of unprocessed clauses: 61 0.38/0.57 # ...number of literals in the above : 399 0.38/0.57 # Current number of archived formulas : 0 0.38/0.57 # Current number of archived clauses : 28 0.38/0.57 # Clause-clause subsumption calls (NU) : 190 0.38/0.57 # Rec. Clause-clause subsumption calls : 106 0.38/0.57 # Non-unit clause-clause subsumptions : 31 0.38/0.57 # Unit Clause-clause subsumption calls : 9 0.38/0.57 # Rewrite failures with RHS unbound : 0 0.38/0.57 # BW rewrite match attempts : 3 0.38/0.57 # BW rewrite match successes : 1 0.38/0.57 # Condensation attempts : 65 0.38/0.57 # Condensation successes : 2 0.38/0.57 # Termbank termtop insertions : 12856 0.38/0.57 0.38/0.57 # ------------------------------------------------- 0.38/0.57 # User time : 0.015 s 0.38/0.57 # System time : 0.006 s 0.38/0.57 # Total time : 0.021 s 0.38/0.57 # Maximum resident set size: 2584 pages 0.38/0.57 0.38/0.57 # ------------------------------------------------- 0.38/0.57 # User time : 0.022 s 0.38/0.57 # System time : 0.009 s 0.38/0.57 # Total time : 0.031 s 0.38/0.57 # Maximum resident set size: 2072 pages 0.38/0.57 % E---3.1 exiting 0.38/0.57 EOF