0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.16/0.43 % Computer : n013.cluster.edu 0.16/0.43 % Model : x86_64 x86_64 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.43 % Memory : 8046.5625MB 0.16/0.43 % OS : Linux 6.8.0-71-generic 0.16/0.43 % CPULimit : 1440 0.16/0.43 % WCLimit : 180 0.16/0.43 % DateTime : Mon Jul 27 09:23:23 UTC 2026 0.16/0.43 % CPUTime : 0.16/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.25/0.50 Running higher-order theorem proving 0.25/0.57 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=180 /export/starexec/sandbox2/tmp/tmp.CTsRXS0YVo/E---3.1_1270908.p 0.33/0.62 % Version: 3.5.1-ho 0.33/0.62 % Preprocessing class: HSMMSLSSLLLNHFA. 0.33/0.62 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.33/0.62 % Starting new_ho_10_cnf2 with 900s (5) cores 0.33/0.62 % Starting post_as_ho1 with 180s (1) cores 0.33/0.62 % Starting post_as_ho5 with 180s (1) cores 0.33/0.62 % Starting post_as_ho10 with 180s (1) cores 0.33/0.62 % post_as_ho5 with pid 1270923 completed with status 0 0.33/0.62 % Result found by post_as_ho5 0.33/0.62 % Preprocessing class: HSMMSLSSLLLNHFA. 0.33/0.62 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.33/0.62 % Starting new_ho_10_cnf2 with 900s (5) cores 0.33/0.62 % Starting post_as_ho1 with 180s (1) cores 0.33/0.62 % Starting post_as_ho5 with 180s (1) cores 0.33/0.62 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)) 0.33/0.62 % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 0.33/0.62 % Search class: HGUSF-FFMF21-MHFMMMBN 0.33/0.62 % partial match(2): HGUSS-FFMF31-MHFMMMBN 0.33/0.62 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.33/0.62 % Starting SubtermCWHack with 17s (1) cores 0.33/0.62 % SubtermCWHack with pid 1270925 completed with status 0 0.33/0.62 % Result found by SubtermCWHack 0.33/0.62 % Preprocessing class: HSMMSLSSLLLNHFA. 0.33/0.62 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.33/0.62 % Starting new_ho_10_cnf2 with 900s (5) cores 0.33/0.62 % Starting post_as_ho1 with 180s (1) cores 0.33/0.62 % Starting post_as_ho5 with 180s (1) cores 0.33/0.62 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)) 0.33/0.62 % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 0.33/0.62 % Search class: HGUSF-FFMF21-MHFMMMBN 0.33/0.62 % partial match(2): HGUSS-FFMF31-MHFMMMBN 0.33/0.62 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.33/0.62 % Starting SubtermCWHack with 17s (1) cores 0.33/0.62 % Preprocessing time : 0.002 s 0.33/0.62 0.33/0.62 % Proof found! 0.33/0.62 % SZS status Theorem 0.33/0.62 % SZS output start CNFRefutation 0.33/0.62 thf(decl_sort1, type, term: $tType). 0.33/0.62 thf(decl_sort2, type, subst: $tType). 0.33/0.62 thf(decl_23, type, one: term). 0.33/0.62 thf(decl_25, type, lam: term > term). 0.33/0.62 thf(decl_26, type, sub: term > subst > term). 0.33/0.62 thf(decl_27, type, id: subst). 0.33/0.62 thf(decl_28, type, sh: subst). 0.33/0.62 thf(decl_29, type, push: term > subst > subst). 0.33/0.62 thf(decl_30, type, comp: subst > subst > subst). 0.33/0.62 thf(decl_42, type, axvarshift: $o). 0.33/0.62 thf(decl_58, type, hoasinduction_lem3: $o). 0.33/0.62 thf(decl_76, type, hoasinduction_lem3aa: $o). 0.33/0.62 thf(decl_94, type, hoaslam: subst > (subst > term > term) > term). 0.33/0.62 thf(decl_100, type, hoasinduction_lem3_lthm: $o). 0.33/0.62 thf(decl_143, type, axvarid: $o). 0.33/0.62 thf(decl_145, type, esk1_1: (subst > term > subst > $o) > subst > term > term). 0.33/0.62 thf(decl_146, type, esk2_2: (subst > term > subst > $o) > term > term). 0.33/0.62 thf(decl_147, type, epred1_0: subst > term > subst > $o). 0.33/0.62 thf(decl_148, type, esk3_1: (subst > term > term) > subst). 0.33/0.62 thf(decl_149, type, esk4_1: (subst > term > term) > term). 0.33/0.62 thf(decl_150, type, esk5_1: (subst > term > term) > subst). 0.33/0.62 thf(decl_151, type, esk6_1: (subst > term > term) > term). 0.33/0.62 thf(decl_152, type, esk7_0: term). 0.33/0.62 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/sandbox2/tmp/tmp.CTsRXS0YVo/E---3.1_1270908.p', hoasinduction_lem3aa)). 0.33/0.62 thf(hoasinduction_lem3, axiom, ((hoasinduction_lem3)<=>![X24:subst > term > subst > $o]:((![X3:subst, X1:term, X4:subst, X5:subst]:(((X24 @ X3 @ X1 @ (comp @ X5 @ X4))=>(X24 @ (comp @ X3 @ X5) @ (sub @ X1 @ X5) @ X4)))=>(![X3:subst, X1:term, X4:subst, X5:subst]:(((X24 @ (comp @ X3 @ X5) @ (sub @ X1 @ X5) @ X4)=>(X24 @ X3 @ X1 @ (comp @ X5 @ X4))))=>(![X12:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X12 @ X3 @ X1) @ X4)=(X12 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>(![X1:term]:(((X24 @ id @ X1 @ id)=>(X24 @ id @ (X12 @ id @ X1) @ id)))=>(X24 @ id @ (hoaslam @ id @ (^[X3:subst, X1:term]:(X12 @ X3 @ X1))) @ id))))=>![X1:term]:((![X2:term]:(((X24 @ id @ X2 @ id)=>(X24 @ id @ (sub @ X1 @ (push @ X2 @ id)) @ id)))=>(X24 @ id @ (lam @ X1) @ id)))))))), file('/export/starexec/sandbox2/tmp/tmp.CTsRXS0YVo/E---3.1_1270908.p', hoasinduction_lem3)). 0.33/0.62 thf(thm, conjecture, (hoasinduction_lem3_lthm), file('/export/starexec/sandbox2/tmp/tmp.CTsRXS0YVo/E---3.1_1270908.p', thm)). 0.33/0.62 thf(hoasinduction_lem3_lthm, axiom, ((hoasinduction_lem3_lthm)<=>((axvarid)=>((axvarshift)=>((hoasinduction_lem3aa)=>(hoasinduction_lem3))))), file('/export/starexec/sandbox2/tmp/tmp.CTsRXS0YVo/E---3.1_1270908.p', hoasinduction_lem3_lthm)). 0.33/0.62 thf(axvarid, axiom, ((axvarid)<=>![X1:term]:(((sub @ X1 @ id)=(X1)))), file('/export/starexec/sandbox2/tmp/tmp.CTsRXS0YVo/E---3.1_1270908.p', axvarid)). 0.33/0.62 thf(axvarshift, axiom, ((axvarshift)<=>((push @ one @ sh)=(id))), file('/export/starexec/sandbox2/tmp/tmp.CTsRXS0YVo/E---3.1_1270908.p', axvarshift)). 0.33/0.62 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: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])). 0.33/0.62 thf(c_0_7, plain, ((hoasinduction_lem3)<=>![X24:subst > term > subst > $o]:((![X3:subst, X1:term, X4:subst, X5:subst]:(((X24 @ X3 @ X1 @ (comp @ X5 @ X4))=>(X24 @ (comp @ X3 @ X5) @ (sub @ X1 @ X5) @ X4)))=>(![X3:subst, X1:term, X4:subst, X5:subst]:(((X24 @ (comp @ X3 @ X5) @ (sub @ X1 @ X5) @ X4)=>(X24 @ X3 @ X1 @ (comp @ X5 @ X4))))=>(![X12:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X12 @ X3 @ X1) @ X4)=(X12 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>(![X1:term]:(((X24 @ id @ X1 @ id)=>(X24 @ id @ (X12 @ id @ X1) @ id)))=>(X24 @ id @ (hoaslam @ id @ (^[Z0:subst, Z1:term]:(X12 @ Z0 @ Z1))) @ id))))=>![X1:term]:((![X2:term]:(((X24 @ id @ X2 @ id)=>(X24 @ id @ (sub @ X1 @ (push @ X2 @ id)) @ id)))=>(X24 @ id @ (lam @ X1) @ id)))))))), inference(fof_simplification,[status(thm)],[hoasinduction_lem3])). 0.33/0.62 thf(c_0_8, negated_conjecture, ~((hoasinduction_lem3_lthm)), inference(assume_negation,[status(cth)],[thm])). 0.33/0.62 thf(c_0_9, axiom, ((hoasinduction_lem3_lthm)=((((![X53:term]:(((sub @ X53 @ id)=(X53)))))=>((((((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: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 @ (sub @ X60 @ (push @ one @ sh))) @ id)))))))))=>((![X62:subst > term > subst > $o]:(((![X63:subst, X64:term, X65:subst, X66:subst]:((((X62 @ X63 @ X64 @ (comp @ X66 @ X65)))=>((X62 @ (comp @ X63 @ X66) @ (sub @ X64 @ X66) @ X65)))))=>(((![X67:subst, X68:term, X69:subst, X70:subst]:((((X62 @ (comp @ X67 @ X70) @ (sub @ X68 @ X70) @ X69))=>((X62 @ X67 @ X68 @ (comp @ X70 @ X69))))))=>(((![X71:subst > term > term]:(((![X72:subst, X73:term, X74:subst]:(((sub @ (X71 @ X72 @ X73) @ X74)=(X71 @ (comp @ X72 @ X74) @ (sub @ X73 @ X74)))))=>(((![X75:term]:((((X62 @ id @ X75 @ id))=>((X62 @ id @ (X71 @ id @ X75) @ id)))))=>((X62 @ id @ (hoaslam @ id @ (^[Z0:subst, Z1:term]:(X71 @ Z0 @ Z1))) @ id)))))))=>(![X76:term]:(((![X77:term]:((((X62 @ id @ X77 @ id))=>((X62 @ id @ (sub @ X76 @ (push @ X77 @ id)) @ id)))))=>((X62 @ id @ (lam @ X76) @ id)))))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[hoasinduction_lem3_lthm, axvarid]), axvarshift]), c_0_6]), c_0_7])). 0.33/0.62 thf(c_0_10, negated_conjecture, ~((![X78:term]:(((sub @ X78 @ id)=(X78)))=>(((push @ one @ sh)=(id))=>(![X79:subst > term > subst > $o]:((![X80:subst > term > term]:((![X81:subst, X82:term, X83:subst]:(((sub @ (X80 @ X81 @ X82) @ X83)=(X80 @ (comp @ X81 @ X83) @ (sub @ X82 @ X83))))=>(![X84:term]:(((X79 @ id @ X84 @ id)=>(X79 @ id @ (X80 @ id @ X84) @ id)))=>(X79 @ id @ (hoaslam @ id @ (^[Z0:subst, Z1:term]:(X80 @ Z0 @ Z1))) @ id))))=>![X85:term]:((![X86:term]:(((X79 @ id @ X86 @ id)=>(X79 @ id @ (sub @ X85 @ (push @ X86 @ id)) @ id)))=>(X79 @ id @ (lam @ (sub @ X85 @ (push @ one @ sh))) @ id)))))=>![X87:subst > term > subst > $o]:((![X88:subst, X89:term, X90:subst, X91:subst]:(((X87 @ X88 @ X89 @ (comp @ X91 @ X90))=>(X87 @ (comp @ X88 @ X91) @ (sub @ X89 @ X91) @ X90)))=>(![X92:subst, X93:term, X94:subst, X95:subst]:(((X87 @ (comp @ X92 @ X95) @ (sub @ X93 @ X95) @ X94)=>(X87 @ X92 @ X93 @ (comp @ X95 @ X94))))=>(![X96:subst > term > term]:((![X97:subst, X98:term, X99:subst]:(((sub @ (X96 @ X97 @ X98) @ X99)=(X96 @ (comp @ X97 @ X99) @ (sub @ X98 @ X99))))=>(![X100:term]:(((X87 @ id @ X100 @ id)=>(X87 @ id @ (X96 @ id @ X100) @ id)))=>(X87 @ id @ (hoaslam @ id @ (^[Z0:subst, Z1:term]:(X96 @ Z0 @ Z1))) @ id))))=>![X101:term]:((![X102:term]:(((X87 @ id @ X102 @ id)=>(X87 @ id @ (sub @ X101 @ (push @ X102 @ id)) @ id)))=>(X87 @ id @ (lam @ X101) @ id))))))))))), inference(apply_def,[status(thm)],[c_0_8, c_0_9])). 0.33/0.62 thf(c_0_11, negated_conjecture, ![X103:term, X104:subst > term > subst > $o, X106:subst, X107:term, X108:subst, X109:term, X110:term, X113:subst, X114:term, X115:subst, X116:subst, X117:subst, X118:term, X119:subst, X120:subst, X121:subst > term > term, X127:term]:((((sub @ X103 @ id)=(X103))&(((push @ one @ sh)=(id))&(((((X104 @ id @ (esk2_2 @ X104 @ X110) @ id)|(X104 @ id @ (lam @ (sub @ X110 @ (push @ one @ sh))) @ id)|((sub @ (esk1_1 @ X104 @ X106 @ X107) @ X108)=(esk1_1 @ X104 @ (comp @ X106 @ X108) @ (sub @ X107 @ X108))))&(~(X104 @ id @ (sub @ X110 @ (push @ (esk2_2 @ X104 @ X110) @ id)) @ id)|(X104 @ id @ (lam @ (sub @ X110 @ (push @ one @ sh))) @ id)|((sub @ (esk1_1 @ X104 @ X106 @ X107) @ X108)=(esk1_1 @ X104 @ (comp @ X106 @ X108) @ (sub @ X107 @ X108)))))&((((X104 @ id @ (esk2_2 @ X104 @ X110) @ id)|(X104 @ id @ (lam @ (sub @ X110 @ (push @ one @ sh))) @ id)|(~(X104 @ id @ X109 @ id)|(X104 @ id @ (esk1_1 @ X104 @ id @ X109) @ id)))&(~(X104 @ id @ (sub @ X110 @ (push @ (esk2_2 @ X104 @ X110) @ id)) @ id)|(X104 @ id @ (lam @ (sub @ X110 @ (push @ one @ sh))) @ id)|(~(X104 @ id @ X109 @ id)|(X104 @ id @ (esk1_1 @ X104 @ id @ X109) @ id))))&(((X104 @ id @ (esk2_2 @ X104 @ X110) @ id)|(X104 @ id @ (lam @ (sub @ X110 @ (push @ one @ sh))) @ id)|~(X104 @ id @ (hoaslam @ id @ (esk1_1 @ X104)) @ id))&(~(X104 @ id @ (sub @ X110 @ (push @ (esk2_2 @ X104 @ X110) @ id)) @ id)|(X104 @ id @ (lam @ (sub @ X110 @ (push @ one @ sh))) @ id)|~(X104 @ id @ (hoaslam @ id @ (esk1_1 @ X104)) @ id)))))&((~(epred1_0 @ X113 @ X114 @ (comp @ X116 @ X115))|(epred1_0 @ (comp @ X113 @ X116) @ (sub @ X114 @ X116) @ X115))&((~(epred1_0 @ (comp @ X117 @ X120) @ (sub @ X118 @ X120) @ X119)|(epred1_0 @ X117 @ X118 @ (comp @ X120 @ X119)))&((((epred1_0 @ id @ (esk6_1 @ X121) @ id)|(epred1_0 @ id @ (hoaslam @ id @ X121) @ id)|((sub @ (X121 @ (esk3_1 @ X121) @ (esk4_1 @ X121)) @ (esk5_1 @ X121))!=(X121 @ (comp @ (esk3_1 @ X121) @ (esk5_1 @ X121)) @ (sub @ (esk4_1 @ X121) @ (esk5_1 @ X121)))))&(~(epred1_0 @ id @ (X121 @ id @ (esk6_1 @ X121)) @ id)|(epred1_0 @ id @ (hoaslam @ id @ X121) @ id)|((sub @ (X121 @ (esk3_1 @ X121) @ (esk4_1 @ X121)) @ (esk5_1 @ X121))!=(X121 @ (comp @ (esk3_1 @ X121) @ (esk5_1 @ X121)) @ (sub @ (esk4_1 @ X121) @ (esk5_1 @ X121))))))&((~(epred1_0 @ id @ X127 @ id)|(epred1_0 @ id @ (sub @ esk7_0 @ (push @ X127 @ id)) @ id))&~(epred1_0 @ id @ (lam @ esk7_0) @ id))))))))), 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)],[c_0_10])])])])])])). 0.33/0.62 thf(c_0_12, 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_11])). 0.33/0.62 thf(c_0_13, negated_conjecture, ((push @ one @ sh)=(id)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.33/0.62 thf(c_0_14, negated_conjecture, ![X1:term]:(((sub @ X1 @ id)=(X1))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.33/0.62 thf(c_0_15, 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_11])). 0.33/0.62 thf(c_0_16, 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_11])). 0.33/0.62 thf(c_0_17, 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_12, c_0_13]), c_0_14])). 0.33/0.62 thf(c_0_18, 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_15, c_0_13]), c_0_14])). 0.33/0.62 thf(c_0_19, 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_16, c_0_17])). 0.33/0.62 thf(c_0_20, 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_11])). 0.33/0.62 thf(c_0_21, 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_11])). 0.33/0.62 thf(c_0_22, 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_18, c_0_19])). 0.33/0.62 thf(c_0_23, 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_20, c_0_13]), c_0_14])). 0.33/0.62 thf(c_0_24, 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_11])). 0.33/0.62 thf(c_0_25, 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_11])). 0.33/0.62 thf(c_0_26, 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_11])). 0.33/0.62 thf(c_0_27, 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_21, c_0_17])). 0.33/0.62 thf(c_0_28, negated_conjecture, ![X1:term]:(((epred1_0 @ id @ (esk1_1 @ epred1_0 @ id @ (esk6_1 @ (esk1_1 @ epred1_0))) @ id)|(epred1_0 @ id @ (esk2_2 @ epred1_0 @ X1) @ id)|(epred1_0 @ id @ (lam @ X1) @ id))), inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_22]), c_0_23])). 0.33/0.62 thf(c_0_29, 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_24, c_0_13]), c_0_14])). 0.33/0.62 thf(c_0_30, 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_11])). 0.33/0.62 thf(c_0_31, negated_conjecture, ~((epred1_0 @ id @ (lam @ esk7_0) @ id)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.33/0.62 thf(c_0_32, 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_25, c_0_13]), c_0_14])). 0.33/0.62 thf(c_0_33, 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_26, c_0_13]), c_0_14])). 0.33/0.62 thf(c_0_34, negated_conjecture, ![X1:term, X2:term]:(((epred1_0 @ id @ (esk2_2 @ epred1_0 @ X1) @ id)|(epred1_0 @ id @ (esk2_2 @ epred1_0 @ X2) @ id)|(epred1_0 @ id @ (lam @ X1) @ id)|(epred1_0 @ id @ (lam @ X2) @ id))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_23])). 0.33/0.62 thf(c_0_35, 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_29, c_0_30]), c_0_31])). 0.33/0.62 thf(c_0_36, 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_32, c_0_30]), c_0_31])). 0.33/0.62 thf(c_0_37, 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_33, c_0_30]), c_0_31])). 0.33/0.62 thf(c_0_38, negated_conjecture, ![X1:term]:(((epred1_0 @ id @ (esk2_2 @ epred1_0 @ X1) @ id)|(epred1_0 @ id @ (lam @ X1) @ id))), inference(ef,[status(thm)],[c_0_34])). 0.33/0.62 thf(c_0_39, 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_21, c_0_35]), c_0_36])). 0.33/0.62 thf(c_0_40, negated_conjecture, ![X1:term]:(((epred1_0 @ id @ (esk1_1 @ epred1_0 @ id @ X1) @ id)|~((epred1_0 @ id @ X1 @ id)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_31])). 0.33/0.62 thf(c_0_41, 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_16, c_0_35]), c_0_36])). 0.33/0.62 thf(c_0_42, negated_conjecture, ~((epred1_0 @ id @ (esk2_2 @ epred1_0 @ esk7_0) @ id)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])). 0.33/0.62 thf(c_0_43, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_38]), c_0_31]), ['proof']). 0.33/0.62 % SZS output end CNFRefutation 0.33/0.62 % Parsed axioms : 238 0.33/0.62 % Removed by relevancy pruning/SinE : 232 0.33/0.62 % Initial clauses : 14 0.33/0.62 % Removed in clause preprocessing : 0 0.33/0.62 % Initial clauses in saturation : 14 0.33/0.62 % Processed clauses : 42 0.33/0.62 % ...of these trivial : 0 0.33/0.62 % ...subsumed : 7 0.33/0.62 % ...remaining for further processing : 35 0.33/0.62 % Other redundant clauses eliminated : 0 0.33/0.62 % Clauses deleted for lack of memory : 0 0.33/0.62 % Backward-subsumed : 13 0.33/0.62 % Backward-rewritten : 0 0.33/0.62 % Generated clauses : 89 0.33/0.62 % ...of the previous two non-redundant : 80 0.33/0.62 % ...aggressively subsumed : 0 0.33/0.62 % Contextual simplify-reflections : 6 0.33/0.62 % Paramodulations : 85 0.33/0.62 % Factorizations : 4 0.33/0.62 % NegExts : 0 0.33/0.62 % Equation resolutions : 0 0.33/0.62 % Disequality decompositions : 0 0.33/0.62 % Total rewrite steps : 24 0.33/0.62 % ...of those cached : 20 0.33/0.62 % Propositional unsat checks : 0 0.33/0.62 % Propositional check models : 0 0.33/0.62 % Propositional check unsatisfiable : 0 0.33/0.62 % Propositional clauses : 0 0.33/0.62 % Propositional clauses after purity: 0 0.33/0.62 % Propositional unsat core size : 0 0.33/0.62 % Propositional preprocessing time : 0.000 0.33/0.62 % Propositional encoding time : 0.000 0.33/0.62 % Propositional solver time : 0.000 0.33/0.62 % Success case prop preproc time : 0.000 0.33/0.62 % Success case prop encoding time : 0.000 0.33/0.62 % Success case prop solver time : 0.000 0.33/0.62 % Current number of processed clauses : 22 0.33/0.62 % Positive orientable unit clauses : 2 0.33/0.62 % Positive unorientable unit clauses: 0 0.33/0.62 % Negative unit clauses : 2 0.33/0.62 % Non-unit-clauses : 18 0.33/0.62 % Current number of unprocessed clauses: 51 0.33/0.62 % ...number of literals in the above : 299 0.33/0.62 % Current number of archived formulas : 0 0.33/0.62 % Current number of archived clauses : 13 0.33/0.62 % Clause-clause subsumption calls (NU) : 132 0.33/0.62 % Rec. Clause-clause subsumption calls : 79 0.33/0.62 % Non-unit clause-clause subsumptions : 21 0.33/0.62 % Unit Clause-clause subsumption calls : 5 0.33/0.62 % Rewrite failures with RHS unbound : 0 0.33/0.62 % BW rewrite match attempts : 0 0.33/0.62 % BW rewrite match successes : 0 0.33/0.62 % Condensation attempts : 0 0.33/0.62 % Condensation successes : 0 0.33/0.62 % Termbank termtop insertions : 10922 0.33/0.62 % Search garbage collected termcells : 2497 0.33/0.62 0.33/0.62 % ------------------------------------------------- 0.33/0.62 % User time : 0.014 s 0.33/0.62 % System time : 0.003 s 0.33/0.62 % Total time : 0.017 s 0.33/0.62 % Maximum resident set size: 4748 pages 0.33/0.62 0.33/0.62 % ------------------------------------------------- 0.33/0.62 % User time : 0.029 s 0.33/0.62 % System time : 0.010 s 0.33/0.62 % Total time : 0.039 s 0.33/0.62 % Maximum resident set size: 5120 pages 0.33/0.62 % E exiting 0.33/0.62 EOF