0.08/0.11 % Problem : Vampire---4.8_28402 : TPTP v0.0.0. Released v0.0.0. 0.08/0.12 % Command : run_E %s %d THM 0.12/0.31 % Computer : n012.cluster.edu 0.12/0.31 % Model : x86_64 x86_64 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.31 % Memory : 8042.1875MB 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.31 % CPULimit : 1440 0.12/0.31 % WCLimit : 180 0.12/0.31 % DateTime : Mon Jul 3 12:49:37 EDT 2023 0.12/0.32 % CPUTime : 0.16/0.44 Running higher-order theorem provingRunning: /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.LOzcUQf6o0/Vampire---4.8_28402 0.16/0.44 # Version: 3.1pre001-ho 403.82/51.21 # Preprocessing class: HSLMSMSSLLLCHSA. 403.82/51.21 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 403.82/51.21 # Starting lpo1_fix with 540s (3) cores 403.82/51.21 # Starting full_lambda_9 with 180s (1) cores 403.82/51.21 # Starting almost_fo_4 with 180s (1) cores 403.82/51.21 # Starting new_ho_9 with 180s (1) cores 403.82/51.21 # Starting pre_casc_4 with 180s (1) cores 403.82/51.21 # Starting ho_unfolding_6 with 180s (1) cores 403.82/51.21 # lpo1_fix with pid 28581 completed with status 0 403.82/51.21 # Result found by lpo1_fix 403.82/51.21 # Preprocessing class: HSLMSMSSLLLCHSA. 403.82/51.21 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 403.82/51.21 # Starting lpo1_fix with 540s (3) cores 403.82/51.21 # No SInE strategy applied 403.82/51.21 # Search class: HGHSM-FSLM32-MHSMMSBN 403.82/51.21 # Scheduled 11 strats onto 3 cores with 540 seconds (540 total) 403.82/51.21 # Starting full_lambda_5 with 50s (1) cores 403.82/51.21 # Starting new_ho_6 with 50s (1) cores 403.82/51.21 # Starting pre_casc_4 with 50s (1) cores 403.82/51.21 # full_lambda_5 with pid 28591 completed with status 7 403.82/51.21 # Starting pre_casc_3 with 50s (1) cores 403.82/51.21 # pre_casc_4 with pid 28594 completed with status 0 403.82/51.21 # Result found by pre_casc_4 403.82/51.21 # Preprocessing class: HSLMSMSSLLLCHSA. 403.82/51.21 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 403.82/51.21 # Starting lpo1_fix with 540s (3) cores 403.82/51.21 # No SInE strategy applied 403.82/51.21 # Search class: HGHSM-FSLM32-MHSMMSBN 403.82/51.21 # Scheduled 11 strats onto 3 cores with 540 seconds (540 total) 403.82/51.21 # Starting full_lambda_5 with 50s (1) cores 403.82/51.21 # Starting new_ho_6 with 50s (1) cores 403.82/51.21 # Starting pre_casc_4 with 50s (1) cores 403.82/51.21 # Preprocessing time : 0.007 s 403.82/51.21 # Presaturation interreduction done 403.82/51.21 403.82/51.21 # Proof found! 403.82/51.21 # SZS status Theorem 403.82/51.21 # SZS output start CNFRefutation 403.82/51.21 thf(decl_22, type, is_of: $i > ($i > $o) > $o). 403.82/51.21 thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o). 403.82/51.21 thf(decl_25, type, in: $i > $i > $o). 403.82/51.21 thf(decl_47, type, ordsucc: $i > $i). 403.82/51.21 thf(decl_61, type, imp: $o > $o > $o). 403.82/51.21 thf(decl_62, type, d_not: $o > $o). 403.82/51.21 thf(decl_67, type, l_or: $o > $o > $o). 403.82/51.21 thf(decl_71, type, non: $i > ($i > $o) > $i > $o). 403.82/51.21 thf(decl_72, type, l_some: $i > ($i > $o) > $o). 403.82/51.21 thf(decl_77, type, e_is: $i > $i > $i > $o). 403.82/51.21 thf(decl_123, type, nat: $i). 403.82/51.21 thf(decl_124, type, n_is: $i > $i > $o). 403.82/51.21 thf(decl_127, type, n_some: ($i > $o) > $o). 403.82/51.21 thf(decl_130, type, n_1: $i). 403.82/51.21 thf(decl_142, type, n_pl: $i > $i > $i). 403.82/51.21 thf(decl_147, type, diffprop: $i > $i > $i > $o). 403.82/51.21 thf(decl_149, type, iii: $i > $i > $o). 403.82/51.21 thf(decl_152, type, lessis: $i > $i > $o). 403.82/51.21 thf(decl_198, type, esk38_3: $i > $i > $i > $i). 403.82/51.21 thf(decl_206, type, esk46_0: $i). 403.82/51.21 thf(decl_207, type, esk47_0: $i). 403.82/51.21 thf(decl_208, type, esk48_0: $i). 403.82/51.21 thf(decl_209, type, esk49_0: $i). 403.82/51.21 thf(decl_210, type, esk50_0: $i). 403.82/51.21 thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', def_d_not)). 403.82/51.21 thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', def_imp)). 403.82/51.21 thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', def_all_of)). 403.82/51.21 thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', def_is_of)). 403.82/51.21 thf(def_non, axiom, ((non)=(^[X1:$i, X2:$i > $o, X4:$i]:((d_not @ ((X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', def_non)). 403.82/51.21 thf(def_l_some, axiom, ((l_some)=(^[X1:$i, X2:$i > $o]:((d_not @ ((all_of @ (^[X4:$i]:((in @ X4 @ X1))) @ (non @ X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', def_l_some)). 403.82/51.21 thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', def_e_is)). 403.82/51.21 thf(def_diffprop, axiom, ((diffprop)=(^[X1:$i, X183:$i, X4:$i]:((n_is @ X1 @ (n_pl @ X183 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', def_diffprop)). 403.82/51.21 thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', def_n_is)). 403.82/51.21 thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', def_l_or)). 403.82/51.21 thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', def_iii)). 403.82/51.21 thf(def_n_some, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X427:$i]:(((((in @ X427 @ nat)))=>((((((Z0 @ X427)))=>(~($true))))))))))=>(~($true))))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', def_n_some)). 403.82/51.21 thf(def_lessis, axiom, ((lessis)=(^[X1:$i, X188:$i]:((l_or @ ((iii @ X1 @ X188)) @ ((n_is @ X1 @ X188)))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', def_lessis)). 403.82/51.21 thf(satz4e, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((n_is @ (ordsucc @ X1) @ (n_pl @ X1 @ n_1))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', satz4e)). 403.82/51.21 thf(satz16a, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X237:$i]:((in @ X237 @ nat))) @ (^[X238:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:((((iii @ X1 @ X4)<=(iii @ X238 @ X4))<=(lessis @ X1 @ X238))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', satz16a)). 403.82/51.21 thf(satz15, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X224:$i]:((in @ X224 @ nat))) @ (^[X225:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:(((iii @ X1 @ X225)=>((iii @ X1 @ X4)<=(iii @ X225 @ X4)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', satz15)). 403.82/51.21 thf(satz4g, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((n_is @ (ordsucc @ X1) @ (n_pl @ n_1 @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', satz4g)). 403.82/51.21 thf(satz4f, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X203:$i]:((in @ X203 @ nat))) @ (^[X204:$i]:((n_is @ (ordsucc @ (n_pl @ X1 @ X204)) @ (n_pl @ X1 @ (ordsucc @ X204))))))))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', satz4f)). 403.82/51.21 thf(ordsucc_inj, axiom, ![X1:$i, X144:$i]:((((X1)=(X144))<=((ordsucc @ X1)=(ordsucc @ X144)))), file('/export/starexec/sandbox2/tmp/tmp.LOzcUQf6o0/Vampire---4.8_28402', ordsucc_inj)). 403.82/51.21 thf(c_0_19, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])). 403.82/51.21 thf(c_0_20, plain, ((imp)=(^[Z0/* 19 */:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])). 403.82/51.21 thf(c_0_21, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])). 403.82/51.21 thf(c_0_22, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])). 403.82/51.21 thf(c_0_23, plain, ((non)=(^[Z0/* 19 */:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_non])). 403.82/51.21 thf(c_0_24, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_19, c_0_20])). 403.82/51.21 thf(c_0_25, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X400:$i]:(((((in @ X400 @ Z0)))=>((((((Z1 @ X400)))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_l_some])). 403.82/51.21 thf(c_0_26, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_21, c_0_22])). 403.82/51.21 thf(c_0_27, plain, ((non)=(^[Z0/* 19 */:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_23, c_0_24])). 403.82/51.21 thf(c_0_28, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])). 403.82/51.21 thf(c_0_29, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X400:$i]:(((((in @ X400 @ Z0)))=>((((((Z1 @ X400)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_25, c_0_26]), c_0_24]), c_0_27])). 403.82/51.21 thf(c_0_30, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[def_diffprop])). 403.82/51.21 thf(c_0_31, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_28])). 403.82/51.21 thf(c_0_32, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])). 403.82/51.21 thf(c_0_33, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X439:$i]:(((((in @ X439 @ nat)))=>(((((((((Z1)=(n_pl @ Z0 @ X439))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_iii])). 403.82/51.21 thf(c_0_34, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X427:$i]:(((((in @ X427 @ nat)))=>((((((Z0 @ X427)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[def_n_some, c_0_29])). 403.82/51.21 thf(c_0_35, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_30, c_0_31])). 403.82/51.21 thf(c_0_36, plain, ((lessis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X443:$i]:(((((in @ X443 @ nat)))=>(((((((((Z1)=(n_pl @ Z0 @ X443))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[def_lessis])). 403.82/51.21 thf(c_0_37, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_32, c_0_20]), c_0_24])). 403.82/51.21 thf(c_0_38, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X439:$i]:(((((in @ X439 @ nat)))=>(((((((((Z1)=(n_pl @ Z0 @ X439))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_33, c_0_34]), c_0_35])). 403.82/51.21 thf(c_0_39, plain, ((lessis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X443:$i]:(((((in @ X443 @ nat)))=>(((((((((Z1)=(n_pl @ Z0 @ X443))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_36, c_0_37]), c_0_31]), c_0_38])). 403.82/51.21 thf(c_0_40, plain, ![X602:$i]:(((in @ X602 @ nat)=>((ordsucc @ X602)=(n_pl @ X602 @ n_1)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz4e]), c_0_26]), c_0_31])). 403.82/51.21 thf(c_0_41, negated_conjecture, ~(![X625:$i]:(((in @ X625 @ nat)=>![X624:$i]:(((in @ X624 @ nat)=>![X623:$i]:(((in @ X623 @ nat)=>((![X622:$i]:(((in @ X622 @ nat)=>((X624)!=(n_pl @ X625 @ X622))))=>((X625)=(X624)))=>(~(![X621:$i]:(((in @ X621 @ nat)=>((X623)!=(n_pl @ X624 @ X621)))))=>~(![X620:$i]:(((in @ X620 @ nat)=>((X623)!=(n_pl @ X625 @ X620)))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz16a])]), c_0_26]), c_0_38]), c_0_39])])). 403.82/51.21 thf(c_0_42, plain, ![X596:$i]:(((in @ X596 @ nat)=>![X595:$i]:(((in @ X595 @ nat)=>![X594:$i]:(((in @ X594 @ nat)=>(~(![X591:$i]:(((in @ X591 @ nat)=>((X595)!=(n_pl @ X596 @ X591)))))=>(~(![X593:$i]:(((in @ X593 @ nat)=>((X594)!=(n_pl @ X595 @ X593)))))=>~(![X592:$i]:(((in @ X592 @ nat)=>((X594)!=(n_pl @ X596 @ X592))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz15]), c_0_26]), c_0_38])])). 403.82/51.21 thf(c_0_43, plain, ![X525:$i]:(((in @ X525 @ nat)=>((ordsucc @ X525)=(n_pl @ n_1 @ X525)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz4g]), c_0_26]), c_0_31])). 403.82/51.21 thf(c_0_44, plain, ![X1177:$i]:((~(in @ X1177 @ nat)|((ordsucc @ X1177)=(n_pl @ X1177 @ n_1)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])). 403.82/51.21 thf(c_0_45, negated_conjecture, ![X1198:$i]:(((in @ esk46_0 @ nat)&((in @ esk47_0 @ nat)&((in @ esk48_0 @ nat)&((((in @ esk49_0 @ nat)|((esk46_0)=(esk47_0)))&(((esk47_0)=(n_pl @ esk46_0 @ esk49_0))|((esk46_0)=(esk47_0))))&(((in @ esk50_0 @ nat)&((esk48_0)=(n_pl @ esk47_0 @ esk50_0)))&(~(in @ X1198 @ nat)|((esk48_0)!=(n_pl @ esk46_0 @ X1198))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])])])). 403.82/51.21 thf(c_0_46, plain, ![X1164:$i, X1165:$i, X1166:$i, X1167:$i, X1168:$i]:((((in @ (esk38_3 @ X1164 @ X1165 @ X1166) @ nat)|(~(in @ X1168 @ nat)|((X1166)!=(n_pl @ X1165 @ X1168)))|(~(in @ X1167 @ nat)|((X1165)!=(n_pl @ X1164 @ X1167)))|~(in @ X1166 @ nat)|~(in @ X1165 @ nat)|~(in @ X1164 @ nat))&(((X1166)=(n_pl @ X1164 @ (esk38_3 @ X1164 @ X1165 @ X1166)))|(~(in @ X1168 @ nat)|((X1166)!=(n_pl @ X1165 @ X1168)))|(~(in @ X1167 @ nat)|((X1165)!=(n_pl @ X1164 @ X1167)))|~(in @ X1166 @ nat)|~(in @ X1165 @ nat)|~(in @ X1164 @ nat)))), 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_42])])])])])). 403.82/51.21 thf(c_0_47, plain, ![X1100:$i]:((~(in @ X1100 @ nat)|((ordsucc @ X1100)=(n_pl @ n_1 @ X1100)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])). 403.82/51.21 thf(c_0_48, plain, ![X1:$i]:((((ordsucc @ X1)=(n_pl @ X1 @ n_1))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_44])). 403.82/51.21 thf(c_0_49, negated_conjecture, (in @ esk48_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_45])). 403.82/51.21 thf(c_0_50, plain, ![X552:$i]:(((in @ X552 @ nat)=>![X551:$i]:(((in @ X551 @ nat)=>((ordsucc @ (n_pl @ X552 @ X551))=(n_pl @ X552 @ (ordsucc @ X551))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz4f]), c_0_26]), c_0_31])). 403.82/51.21 thf(c_0_51, negated_conjecture, (in @ esk50_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_45])). 403.82/51.21 thf(c_0_52, plain, ![X6:$i, X7:$i, X5:$i, X4:$i, X1:$i]:(((in @ (esk38_3 @ X1 @ X4 @ X5) @ nat)|~((in @ X6 @ nat))|((X5)!=(n_pl @ X4 @ X6))|~((in @ X7 @ nat))|((X4)!=(n_pl @ X1 @ X7))|~((in @ X5 @ nat))|~((in @ X4 @ nat))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_46])). 403.82/51.21 thf(c_0_53, plain, ![X1:$i, X144:$i]:((((ordsucc @ X1)=(ordsucc @ X144))=>((X1)=(X144)))), inference(fof_simplification,[status(thm)],[ordsucc_inj])). 403.82/51.21 thf(c_0_54, plain, ![X1:$i]:((((ordsucc @ X1)=(n_pl @ n_1 @ X1))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_47])). 403.82/51.21 thf(c_0_55, negated_conjecture, ((ordsucc @ esk48_0)=(n_pl @ esk48_0 @ n_1)), inference(spm,[status(thm)],[c_0_48, c_0_49])). 403.82/51.21 thf(c_0_56, plain, ![X1126:$i, X1127:$i]:((~(in @ X1126 @ nat)|(~(in @ X1127 @ nat)|((ordsucc @ (n_pl @ X1126 @ X1127))=(n_pl @ X1126 @ (ordsucc @ X1127)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])). 403.82/51.21 thf(c_0_57, negated_conjecture, ((ordsucc @ esk50_0)=(n_pl @ esk50_0 @ n_1)), inference(spm,[status(thm)],[c_0_48, c_0_51])). 403.82/51.21 thf(c_0_58, plain, ![X5:$i, X4:$i, X1:$i]:(((in @ (esk38_3 @ X1 @ (n_pl @ X1 @ X4) @ (n_pl @ (n_pl @ X1 @ X4) @ X5)) @ nat)|~((in @ (n_pl @ (n_pl @ X1 @ X4) @ X5) @ nat))|~((in @ (n_pl @ X1 @ X4) @ nat))|~((in @ X4 @ nat))|~((in @ X5 @ nat))|~((in @ X1 @ nat)))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_52])])). 403.82/51.21 thf(c_0_59, negated_conjecture, (((esk47_0)=(n_pl @ esk46_0 @ esk49_0))|((esk46_0)=(esk47_0))), inference(split_conjunct,[status(thm)],[c_0_45])). 403.82/51.21 thf(c_0_60, negated_conjecture, (in @ esk47_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_45])). 403.82/51.21 thf(c_0_61, negated_conjecture, (in @ esk46_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_45])). 403.82/51.21 thf(c_0_62, negated_conjecture, ((in @ esk49_0 @ nat)|((esk46_0)=(esk47_0))), inference(split_conjunct,[status(thm)],[c_0_45])). 403.82/51.21 thf(c_0_63, plain, ![X1000:$i, X1001:$i]:((((ordsucc @ X1000)!=(ordsucc @ X1001))|((X1000)=(X1001)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])). 403.82/51.21 thf(c_0_64, negated_conjecture, ((n_pl @ esk48_0 @ n_1)=(n_pl @ n_1 @ esk48_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_49]), c_0_55])). 403.82/51.21 thf(c_0_65, plain, ![X1:$i, X4:$i]:((((ordsucc @ (n_pl @ X1 @ X4))=(n_pl @ X1 @ (ordsucc @ X4)))|~((in @ X1 @ nat))|~((in @ X4 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_56])). 403.82/51.21 thf(c_0_66, negated_conjecture, ((n_pl @ esk50_0 @ n_1)=(n_pl @ n_1 @ esk50_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_51]), c_0_57])). 403.82/51.21 thf(c_0_67, plain, ![X1:$i, X6:$i, X7:$i, X5:$i, X4:$i]:((((X1)=(n_pl @ X4 @ (esk38_3 @ X4 @ X5 @ X1)))|~((in @ X6 @ nat))|((X1)!=(n_pl @ X5 @ X6))|~((in @ X7 @ nat))|((X5)!=(n_pl @ X4 @ X7))|~((in @ X1 @ nat))|~((in @ X5 @ nat))|~((in @ X4 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_46])). 403.82/51.21 thf(c_0_68, negated_conjecture, ![X1:$i]:((((esk46_0)=(esk47_0))|(in @ (esk38_3 @ esk46_0 @ esk47_0 @ (n_pl @ esk47_0 @ X1)) @ nat)|~((in @ (n_pl @ esk47_0 @ X1) @ nat))|~((in @ X1 @ nat)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_60]), c_0_61])]), c_0_62])). 403.82/51.21 thf(c_0_69, negated_conjecture, ((esk48_0)=(n_pl @ esk47_0 @ esk50_0)), inference(split_conjunct,[status(thm)],[c_0_45])). 403.82/51.21 thf(c_0_70, plain, ![X1:$i, X4:$i]:((((X1)=(X4))|((ordsucc @ X1)!=(ordsucc @ X4)))), inference(split_conjunct,[status(thm)],[c_0_63])). 403.82/51.21 thf(c_0_71, negated_conjecture, ((ordsucc @ esk48_0)=(n_pl @ n_1 @ esk48_0)), inference(rw,[status(thm)],[c_0_55, c_0_64])). 403.82/51.21 thf(c_0_72, negated_conjecture, ![X1:$i]:((((ordsucc @ (n_pl @ X1 @ esk50_0))=(n_pl @ X1 @ (n_pl @ n_1 @ esk50_0)))|~((in @ X1 @ nat)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_51]), c_0_57]), c_0_66])). 403.82/51.21 thf(c_0_73, negated_conjecture, ![X1:$i]:((~((in @ X1 @ nat))|((esk48_0)!=(n_pl @ esk46_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_45])). 403.82/51.21 thf(c_0_74, plain, ![X5:$i, X4:$i, X1:$i]:((((n_pl @ X1 @ (esk38_3 @ X1 @ (n_pl @ X1 @ X4) @ (n_pl @ (n_pl @ X1 @ X4) @ X5)))=(n_pl @ (n_pl @ X1 @ X4) @ X5))|~((in @ (n_pl @ (n_pl @ X1 @ X4) @ X5) @ nat))|~((in @ (n_pl @ X1 @ X4) @ nat))|~((in @ X4 @ nat))|~((in @ X5 @ nat))|~((in @ X1 @ nat)))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_67])])). 403.82/51.21 thf(c_0_75, negated_conjecture, (((esk46_0)=(esk47_0))|(in @ (esk38_3 @ esk46_0 @ esk47_0 @ esk48_0) @ nat)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_49]), c_0_51])])). 403.82/51.21 thf(c_0_76, negated_conjecture, ![X1:$i]:((((X1)=(esk48_0))|((ordsucc @ X1)!=(n_pl @ n_1 @ esk48_0)))), inference(spm,[status(thm)],[c_0_70, c_0_71])). 403.82/51.21 thf(c_0_77, negated_conjecture, ((ordsucc @ (n_pl @ esk46_0 @ esk50_0))=(n_pl @ esk46_0 @ (n_pl @ n_1 @ esk50_0))), inference(spm,[status(thm)],[c_0_72, c_0_61])). 403.82/51.21 thf(c_0_78, negated_conjecture, ((n_pl @ esk46_0 @ esk50_0)!=(esk48_0)), inference(spm,[status(thm)],[c_0_73, c_0_51])). 403.82/51.21 thf(c_0_79, negated_conjecture, ![X1:$i]:((((n_pl @ esk46_0 @ (esk38_3 @ esk46_0 @ esk47_0 @ (n_pl @ esk47_0 @ X1)))=(n_pl @ esk47_0 @ X1))|((esk46_0)=(esk47_0))|~((in @ (n_pl @ esk47_0 @ X1) @ nat))|~((in @ X1 @ nat)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_59]), c_0_60]), c_0_61])]), c_0_62])). 403.82/51.21 thf(c_0_80, negated_conjecture, (((esk46_0)=(esk47_0))|((n_pl @ esk46_0 @ (esk38_3 @ esk46_0 @ esk47_0 @ esk48_0))!=(esk48_0))), inference(spm,[status(thm)],[c_0_73, c_0_75])). 403.82/51.21 thf(c_0_81, negated_conjecture, ((n_pl @ esk46_0 @ (n_pl @ n_1 @ esk50_0))!=(n_pl @ n_1 @ esk48_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_77]), c_0_78])). 403.82/51.21 thf(c_0_82, negated_conjecture, ((esk46_0)=(esk47_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_69]), c_0_49]), c_0_51])]), c_0_80])). 403.82/51.21 thf(c_0_83, negated_conjecture, ((n_pl @ esk47_0 @ (n_pl @ n_1 @ esk50_0))=(n_pl @ n_1 @ esk48_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_60]), c_0_69]), c_0_55]), c_0_64])). 403.82/51.21 thf(c_0_84, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81, c_0_82]), c_0_83])]), ['proof']). 403.82/51.21 # SZS output end CNFRefutation 403.82/51.21 # Parsed axioms : 360 403.82/51.21 # Removed by relevancy pruning/SinE : 0 403.82/51.21 # Initial clauses : 513 403.82/51.21 # Removed in clause preprocessing : 156 403.82/51.21 # Initial clauses in saturation : 357 403.82/51.21 # Processed clauses : 42148 403.82/51.21 # ...of these trivial : 771 403.82/51.21 # ...subsumed : 17755 403.82/51.21 # ...remaining for further processing : 23622 403.82/51.21 # Other redundant clauses eliminated : 726 403.82/51.21 # Clauses deleted for lack of memory : 0 403.82/51.21 # Backward-subsumed : 118 403.82/51.21 # Backward-rewritten : 8723 403.82/51.21 # Generated clauses : 1088475 403.82/51.21 # ...of the previous two non-redundant : 1077848 403.82/51.21 # ...aggressively subsumed : 0 403.82/51.21 # Contextual simplify-reflections : 410 403.82/51.21 # Paramodulations : 1082722 403.82/51.21 # Factorizations : 32 403.82/51.21 # NegExts : 3453 403.82/51.21 # Equation resolutions : 779 403.82/51.21 # Total rewrite steps : 433448 403.82/51.21 # Propositional unsat checks : 4 403.82/51.21 # Propositional check models : 0 403.82/51.21 # Propositional check unsatisfiable : 0 403.82/51.21 # Propositional clauses : 0 403.82/51.21 # Propositional clauses after purity: 0 403.82/51.21 # Propositional unsat core size : 0 403.82/51.21 # Propositional preprocessing time : 0.000 403.82/51.21 # Propositional encoding time : 5.407 403.82/51.21 # Propositional solver time : 2.688 403.82/51.21 # Success case prop preproc time : 0.000 403.82/51.21 # Success case prop encoding time : 0.000 403.82/51.21 # Success case prop solver time : 0.000 403.82/51.21 # Current number of processed clauses : 13784 403.82/51.21 # Positive orientable unit clauses : 544 403.82/51.21 # Positive unorientable unit clauses: 22 403.82/51.21 # Negative unit clauses : 3429 403.82/51.21 # Non-unit-clauses : 9789 403.82/51.21 # Current number of unprocessed clauses: 1033300 403.82/51.21 # ...number of literals in the above : 3725321 403.82/51.21 # Current number of archived formulas : 0 403.82/51.21 # Current number of archived clauses : 9790 403.82/51.21 # Clause-clause subsumption calls (NU) : 19507959 403.82/51.21 # Rec. Clause-clause subsumption calls : 12340643 403.82/51.21 # Non-unit clause-clause subsumptions : 6267 403.82/51.21 # Unit Clause-clause subsumption calls : 1911748 403.82/51.21 # Rewrite failures with RHS unbound : 0 403.82/51.21 # BW rewrite match attempts : 910 403.82/51.21 # BW rewrite match successes : 251 403.82/51.21 # Condensation attempts : 0 403.82/51.21 # Condensation successes : 0 403.82/51.21 # Termbank termtop insertions : 47141075 403.82/51.21 403.82/51.21 # ------------------------------------------------- 403.82/51.21 # User time : 97.655 s 403.82/51.21 # System time : 1.868 s 403.82/51.21 # Total time : 99.522 s 403.82/51.21 # Maximum resident set size: 6068 pages 404.78/51.45 404.78/51.45 # ------------------------------------------------- 404.78/51.45 # User time : 147.409 s 404.78/51.45 # System time : 2.684 s 404.78/51.45 # Total time : 150.094 s 404.78/51.45 # Maximum resident set size: 2256 pages 404.78/51.45 % E---3.1 exiting 404.78/51.45 EOF