0.08/0.18 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.18 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.08/0.40 % Computer : n029.cluster.edu 0.08/0.40 % Model : x86_64 x86_64 0.08/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.40 % Memory : 8042.1875MB 0.08/0.40 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.40 % CPULimit : 1920 0.08/0.40 % WCLimit : 240 0.08/0.40 % DateTime : Wed Jul 30 09:29:34 EDT 2025 0.08/0.40 % CPUTime : 0.19/0.56 Running higher-order theorem proving 0.19/0.58 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p 389.33/60.34 # Version: 3.0.0-ho 389.33/60.34 # Preprocessing class: HSLMSMSSLLLCHSA. 389.33/60.34 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 389.33/60.34 # Starting lpo1_fix with 720s (3) cores 389.33/60.34 # Starting full_lambda_9 with 240s (1) cores 389.33/60.34 # Starting almost_fo_4 with 240s (1) cores 389.33/60.34 # Starting new_ho_9 with 240s (1) cores 389.33/60.34 # Starting pre_casc_4 with 240s (1) cores 389.33/60.34 # Starting ho_unfolding_6 with 240s (1) cores 389.33/60.34 # lpo1_fix with pid 24434 completed with status 0 389.33/60.34 # Result found by lpo1_fix 389.33/60.34 # Preprocessing class: HSLMSMSSLLLCHSA. 389.33/60.34 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 389.33/60.34 # Starting lpo1_fix with 720s (3) cores 389.33/60.34 # No SInE strategy applied 389.33/60.34 # Search class: HGHSM-FSLM32-MHSMMSBN 389.33/60.34 # Scheduled 11 strats onto 3 cores with 720 seconds (720 total) 389.33/60.34 # Starting full_lambda_5 with 66s (1) cores 389.33/60.34 # Starting new_ho_6 with 66s (1) cores 389.33/60.34 # Starting pre_casc_4 with 66s (1) cores 389.33/60.34 # pre_casc_4 with pid 24443 completed with status 0 389.33/60.34 # Result found by pre_casc_4 389.33/60.34 # Preprocessing class: HSLMSMSSLLLCHSA. 389.33/60.34 # Scheduled 6 strats onto 8 cores with 240 seconds (1920 total) 389.33/60.34 # Starting lpo1_fix with 720s (3) cores 389.33/60.34 # No SInE strategy applied 389.33/60.34 # Search class: HGHSM-FSLM32-MHSMMSBN 389.33/60.34 # Scheduled 11 strats onto 3 cores with 720 seconds (720 total) 389.33/60.34 # Starting full_lambda_5 with 66s (1) cores 389.33/60.34 # Starting new_ho_6 with 66s (1) cores 389.33/60.34 # Starting pre_casc_4 with 66s (1) cores 389.33/60.34 # Preprocessing time : 0.008 s 389.33/60.34 # Presaturation interreduction done 389.33/60.34 389.33/60.34 # Proof found! 389.33/60.34 # SZS status Theorem 389.33/60.34 # SZS output start CNFRefutation 389.33/60.34 thf(decl_23, type, is_of: $i > ($i > $o) > $o). 389.33/60.34 thf(decl_24, type, all_of: ($i > $o) > ($i > $o) > $o). 389.33/60.34 thf(decl_26, type, in: $i > $i > $o). 389.33/60.34 thf(decl_48, type, ordsucc: $i > $i). 389.33/60.34 thf(decl_62, type, imp: $o > $o > $o). 389.33/60.34 thf(decl_63, type, d_not: $o > $o). 389.33/60.34 thf(decl_68, type, l_or: $o > $o > $o). 389.33/60.34 thf(decl_72, type, non: $i > ($i > $o) > $i > $o). 389.33/60.34 thf(decl_73, type, l_some: $i > ($i > $o) > $o). 389.33/60.34 thf(decl_78, type, e_is: $i > $i > $i > $o). 389.33/60.34 thf(decl_124, type, nat: $i). 389.33/60.34 thf(decl_125, type, n_is: $i > $i > $o). 389.33/60.34 thf(decl_128, type, n_some: ($i > $o) > $o). 389.33/60.34 thf(decl_131, type, n_1: $i). 389.33/60.34 thf(decl_143, type, n_pl: $i > $i > $i). 389.33/60.34 thf(decl_148, type, diffprop: $i > $i > $i > $o). 389.33/60.34 thf(decl_150, type, iii: $i > $i > $o). 389.33/60.34 thf(decl_153, type, lessis: $i > $i > $o). 389.33/60.34 thf(decl_196, type, esk39_0: $i). 389.33/60.34 thf(decl_197, type, esk40_0: $i). 389.33/60.34 thf(decl_198, type, esk41_0: $i). 389.33/60.34 thf(decl_199, type, esk42_0: $i). 389.33/60.34 thf(decl_200, type, esk43_0: $i). 389.33/60.34 thf(decl_206, type, esk49_3: $i > $i > $i > $i). 389.33/60.34 thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', def_d_not)). 389.33/60.34 thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', def_imp)). 389.33/60.34 thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', def_all_of)). 389.33/60.34 thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', def_is_of)). 389.33/60.34 thf(def_non, axiom, ((non)=(^[X1:$i, X2:$i > $o, X4:$i]:((d_not @ ((X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', def_non)). 389.33/60.34 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.nMPSOIQmdV/E---3.1_24356.p', def_l_some)). 389.33/60.34 thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', def_e_is)). 389.33/60.34 thf(def_diffprop, axiom, ((diffprop)=(^[X1:$i, X183:$i, X4:$i]:((n_is @ X1 @ (n_pl @ X183 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', def_diffprop)). 389.33/60.34 thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', def_n_is)). 389.33/60.34 thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', def_l_or)). 389.33/60.34 thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', def_iii)). 389.33/60.34 thf(def_n_some, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X427:$i]:(((((in @ X427 @ nat)))=>((((((Z0 @ X427)))=>(~($true))))))))))=>(~($true))))))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', def_n_some)). 389.33/60.34 thf(def_lessis, axiom, ((lessis)=(^[X1:$i, X188:$i]:((l_or @ ((iii @ X1 @ X188)) @ ((n_is @ X1 @ X188)))))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', def_lessis)). 389.33/60.34 thf(satz16a, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X223:$i]:((in @ X223 @ nat))) @ (^[X224:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:((((iii @ X224 @ X4)=>(iii @ X1 @ X4))<=(lessis @ X1 @ X224))))))))))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', satz16a)). 389.33/60.34 thf(satz15, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X236:$i]:((in @ X236 @ nat))) @ (^[X237:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:(((iii @ X1 @ X237)=>((iii @ X237 @ X4)=>(iii @ X1 @ X4)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', satz15)). 389.33/60.34 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.nMPSOIQmdV/E---3.1_24356.p', satz4e)). 389.33/60.34 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.nMPSOIQmdV/E---3.1_24356.p', satz4g)). 389.33/60.34 thf(satz4f, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X238:$i]:((in @ X238 @ nat))) @ (^[X239:$i]:((n_is @ (ordsucc @ (n_pl @ X1 @ X239)) @ (n_pl @ X1 @ (ordsucc @ X239))))))))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', satz4f)). 389.33/60.34 thf(ordsucc_inj, axiom, ![X1:$i, X156:$i]:((((X1)=(X156))<=((ordsucc @ X1)=(ordsucc @ X156)))), file('/export/starexec/sandbox2/tmp/tmp.nMPSOIQmdV/E---3.1_24356.p', ordsucc_inj)). 389.33/60.34 thf(c_0_19, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])). 389.33/60.34 thf(c_0_20, plain, ((imp)=(^[Z0/* 19 */:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])). 389.33/60.34 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])). 389.33/60.34 thf(c_0_22, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])). 389.33/60.34 thf(c_0_23, plain, ((non)=(^[Z0/* 19 */:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_non])). 389.33/60.34 thf(c_0_24, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_19, c_0_20])). 389.33/60.34 thf(c_0_25, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X400:$i]:(((((in @ X400 @ Z0)))=>((((((Z1 @ X400)))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_l_some])). 389.33/60.34 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])). 389.33/60.34 thf(c_0_27, plain, ((non)=(^[Z0/* 19 */:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_23, c_0_24])). 389.33/60.34 thf(c_0_28, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])). 389.33/60.34 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])). 389.33/60.34 thf(c_0_30, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[def_diffprop])). 389.33/60.34 thf(c_0_31, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_28])). 389.33/60.34 thf(c_0_32, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])). 389.33/60.34 thf(c_0_33, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X439:$i]:(((((in @ X439 @ nat)))=>(((((((((Z1)=(n_pl @ Z0 @ X439))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_iii])). 389.33/60.34 thf(c_0_34, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X427:$i]:(((((in @ X427 @ nat)))=>((((((Z0 @ X427)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[def_n_some, c_0_29])). 389.33/60.34 thf(c_0_35, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_30, c_0_31])). 389.33/60.34 thf(c_0_36, plain, ((lessis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X443:$i]:(((((in @ X443 @ nat)))=>(((((((((Z1)=(n_pl @ Z0 @ X443))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[def_lessis])). 389.33/60.34 thf(c_0_37, plain, ((l_or)=(^[Z0/* 19 */:$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])). 389.33/60.34 thf(c_0_38, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X439:$i]:(((((in @ X439 @ nat)))=>(((((((((Z1)=(n_pl @ Z0 @ X439))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_33, c_0_34]), c_0_35])). 389.33/60.34 thf(c_0_39, plain, ((lessis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X443:$i]:(((((in @ X443 @ nat)))=>(((((((((Z1)=(n_pl @ Z0 @ X443))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_36, c_0_37]), c_0_31]), c_0_38])). 389.33/60.34 thf(c_0_40, negated_conjecture, ~(![X588:$i]:(((in @ X588 @ nat)=>![X587:$i]:(((in @ X587 @ nat)=>![X586:$i]:(((in @ X586 @ nat)=>((((![X585:$i]:(((in @ X585 @ nat)=>(((X587)=(n_pl @ X588 @ X585))=>~($true))))=>~($true))=>~($true))=>((X588)=(X587)))=>((![X583:$i]:(((in @ X583 @ nat)=>(((X586)=(n_pl @ X587 @ X583))=>~($true))))=>~($true))=>(![X584:$i]:(((in @ X584 @ nat)=>(((X586)=(n_pl @ X588 @ X584))=>~($true))))=>~($true))))))))))), 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])])). 389.33/60.34 thf(c_0_41, plain, ![X617:$i]:(((in @ X617 @ nat)=>![X616:$i]:(((in @ X616 @ nat)=>![X615:$i]:(((in @ X615 @ nat)=>((![X612:$i]:(((in @ X612 @ nat)=>(((X616)=(n_pl @ X617 @ X612))=>~($true))))=>~($true))=>((![X613:$i]:(((in @ X613 @ nat)=>(((X615)=(n_pl @ X616 @ X613))=>~($true))))=>~($true))=>(![X614:$i]:(((in @ X614 @ nat)=>(((X615)=(n_pl @ X617 @ X614))=>~($true))))=>~($true)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz15]), c_0_26]), c_0_38])). 389.33/60.34 thf(c_0_42, plain, ![X568:$i]:(((in @ X568 @ nat)=>((ordsucc @ X568)=(n_pl @ X568 @ n_1)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz4e]), c_0_26]), c_0_31])). 389.33/60.34 thf(c_0_43, negated_conjecture, ![X1166:$i]:(((in @ esk39_0 @ nat)&((in @ esk40_0 @ nat)&((in @ esk41_0 @ nat)&(((((in @ esk42_0 @ nat)|~($true)|((esk39_0)=(esk40_0)))&((((esk40_0)=(n_pl @ esk39_0 @ esk42_0))|~($true)|((esk39_0)=(esk40_0)))&(($true)|~($true)|((esk39_0)=(esk40_0)))))&(($true)|((esk39_0)=(esk40_0))))&((((in @ esk43_0 @ nat)|~($true))&((((esk41_0)=(n_pl @ esk40_0 @ esk43_0))|~($true))&(($true)|~($true))))&((~(in @ X1166 @ nat)|(((esk41_0)!=(n_pl @ esk39_0 @ X1166))|~($true)))&($true)))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])])])). 389.33/60.34 thf(c_0_44, plain, ![X1200:$i, X1201:$i, X1202:$i, X1203:$i, X1204:$i]:((((((in @ (esk49_3 @ X1200 @ X1201 @ X1202) @ nat)|~($true)|(~(in @ X1204 @ nat)|(((X1202)!=(n_pl @ X1201 @ X1204))|~($true)))|(~(in @ X1203 @ nat)|(((X1201)!=(n_pl @ X1200 @ X1203))|~($true)))|~(in @ X1202 @ nat)|~(in @ X1201 @ nat)|~(in @ X1200 @ nat))&((((X1202)=(n_pl @ X1200 @ (esk49_3 @ X1200 @ X1201 @ X1202)))|~($true)|(~(in @ X1204 @ nat)|(((X1202)!=(n_pl @ X1201 @ X1204))|~($true)))|(~(in @ X1203 @ nat)|(((X1201)!=(n_pl @ X1200 @ X1203))|~($true)))|~(in @ X1202 @ nat)|~(in @ X1201 @ nat)|~(in @ X1200 @ nat))&(($true)|~($true)|(~(in @ X1204 @ nat)|(((X1202)!=(n_pl @ X1201 @ X1204))|~($true)))|(~(in @ X1203 @ nat)|(((X1201)!=(n_pl @ X1200 @ X1203))|~($true)))|~(in @ X1202 @ nat)|~(in @ X1201 @ nat)|~(in @ X1200 @ nat))))&(((in @ (esk49_3 @ X1200 @ X1201 @ X1202) @ nat)|~($true)|($true)|(~(in @ X1203 @ nat)|(((X1201)!=(n_pl @ X1200 @ X1203))|~($true)))|~(in @ X1202 @ nat)|~(in @ X1201 @ nat)|~(in @ X1200 @ nat))&((((X1202)=(n_pl @ X1200 @ (esk49_3 @ X1200 @ X1201 @ X1202)))|~($true)|($true)|(~(in @ X1203 @ nat)|(((X1201)!=(n_pl @ X1200 @ X1203))|~($true)))|~(in @ X1202 @ nat)|~(in @ X1201 @ nat)|~(in @ X1200 @ nat))&(($true)|~($true)|($true)|(~(in @ X1203 @ nat)|(((X1201)!=(n_pl @ X1200 @ X1203))|~($true)))|~(in @ X1202 @ nat)|~(in @ X1201 @ nat)|~(in @ X1200 @ nat)))))&((((in @ (esk49_3 @ X1200 @ X1201 @ X1202) @ nat)|~($true)|(~(in @ X1204 @ nat)|(((X1202)!=(n_pl @ X1201 @ X1204))|~($true)))|($true)|~(in @ X1202 @ nat)|~(in @ X1201 @ nat)|~(in @ X1200 @ nat))&((((X1202)=(n_pl @ X1200 @ (esk49_3 @ X1200 @ X1201 @ X1202)))|~($true)|(~(in @ X1204 @ nat)|(((X1202)!=(n_pl @ X1201 @ X1204))|~($true)))|($true)|~(in @ X1202 @ nat)|~(in @ X1201 @ nat)|~(in @ X1200 @ nat))&(($true)|~($true)|(~(in @ X1204 @ nat)|(((X1202)!=(n_pl @ X1201 @ X1204))|~($true)))|($true)|~(in @ X1202 @ nat)|~(in @ X1201 @ nat)|~(in @ X1200 @ nat))))&(((in @ (esk49_3 @ X1200 @ X1201 @ X1202) @ nat)|~($true)|($true)|($true)|~(in @ X1202 @ nat)|~(in @ X1201 @ nat)|~(in @ X1200 @ nat))&((((X1202)=(n_pl @ X1200 @ (esk49_3 @ X1200 @ X1201 @ X1202)))|~($true)|($true)|($true)|~(in @ X1202 @ nat)|~(in @ X1201 @ nat)|~(in @ X1200 @ nat))&(($true)|~($true)|($true)|($true)|~(in @ X1202 @ nat)|~(in @ X1201 @ nat)|~(in @ X1200 @ nat))))))), 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_41])])])])])])). 389.33/60.34 thf(c_0_45, plain, ![X651:$i]:(((in @ X651 @ nat)=>((ordsucc @ X651)=(n_pl @ n_1 @ X651)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz4g]), c_0_26]), c_0_31])). 389.33/60.34 thf(c_0_46, plain, ![X1146:$i]:((~(in @ X1146 @ nat)|((ordsucc @ X1146)=(n_pl @ X1146 @ n_1)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])). 389.33/60.34 thf(c_0_47, negated_conjecture, ((in @ esk43_0 @ nat)|~(($true))), inference(split_conjunct,[status(thm)],[c_0_43])). 389.33/60.34 thf(c_0_48, plain, ![X6:$i, X7:$i, X5:$i, X4:$i, X1:$i]:(((in @ (esk49_3 @ X1 @ X4 @ X5) @ nat)|~(($true))|~((in @ X6 @ nat))|((X5)!=(n_pl @ X4 @ X6))|~(($true))|~((in @ X7 @ nat))|((X4)!=(n_pl @ X1 @ X7))|~(($true))|~((in @ X5 @ nat))|~((in @ X4 @ nat))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_44])). 389.33/60.34 thf(c_0_49, plain, ![X1241:$i]:((~(in @ X1241 @ nat)|((ordsucc @ X1241)=(n_pl @ n_1 @ X1241)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])). 389.33/60.34 thf(c_0_50, plain, ![X1:$i]:((((ordsucc @ X1)=(n_pl @ X1 @ n_1))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_46])). 389.33/60.34 thf(c_0_51, negated_conjecture, (in @ esk41_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_43])). 389.33/60.34 thf(c_0_52, plain, ![X620:$i]:(((in @ X620 @ nat)=>![X619:$i]:(((in @ X619 @ nat)=>((ordsucc @ (n_pl @ X620 @ X619))=(n_pl @ X620 @ (ordsucc @ X619))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz4f]), c_0_26]), c_0_31])). 389.33/60.34 thf(c_0_53, negated_conjecture, (in @ esk43_0 @ nat), inference(cn,[status(thm)],[c_0_47])). 389.33/60.34 thf(c_0_54, plain, ![X7:$i, X6:$i, X5:$i, X4:$i, X1:$i]:(((in @ (esk49_3 @ X1 @ X4 @ X5) @ nat)|((X5)!=(n_pl @ X4 @ X6))|((X4)!=(n_pl @ X1 @ X7))|~((in @ X7 @ nat))|~((in @ X6 @ nat))|~((in @ X5 @ nat))|~((in @ X4 @ nat))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[c_0_48])). 389.33/60.34 thf(c_0_55, negated_conjecture, (((esk40_0)=(n_pl @ esk39_0 @ esk42_0))|((esk39_0)=(esk40_0))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_43])). 389.33/60.34 thf(c_0_56, negated_conjecture, ((in @ esk42_0 @ nat)|((esk39_0)=(esk40_0))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_43])). 389.33/60.34 thf(c_0_57, plain, ![X1:$i, X156:$i]:((((ordsucc @ X1)=(ordsucc @ X156))=>((X1)=(X156)))), inference(fof_simplification,[status(thm)],[ordsucc_inj])). 389.33/60.34 thf(c_0_58, plain, ![X1:$i]:((((ordsucc @ X1)=(n_pl @ n_1 @ X1))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_49])). 389.33/60.34 thf(c_0_59, negated_conjecture, ((ordsucc @ esk41_0)=(n_pl @ esk41_0 @ n_1)), inference(spm,[status(thm)],[c_0_50, c_0_51])). 389.33/60.34 thf(c_0_60, plain, ![X1207:$i, X1208:$i]:((~(in @ X1207 @ nat)|(~(in @ X1208 @ nat)|((ordsucc @ (n_pl @ X1207 @ X1208))=(n_pl @ X1207 @ (ordsucc @ X1208)))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])])). 389.33/60.34 thf(c_0_61, negated_conjecture, ((ordsucc @ esk43_0)=(n_pl @ esk43_0 @ n_1)), inference(spm,[status(thm)],[c_0_50, c_0_53])). 389.33/60.34 thf(c_0_62, plain, ![X1:$i, X6:$i, X7:$i, X5:$i, X4:$i]:((((X1)=(n_pl @ X4 @ (esk49_3 @ X4 @ X5 @ X1)))|~(($true))|~((in @ X6 @ nat))|((X1)!=(n_pl @ X5 @ X6))|~(($true))|~((in @ X7 @ nat))|((X5)!=(n_pl @ X4 @ X7))|~(($true))|~((in @ X1 @ nat))|~((in @ X5 @ nat))|~((in @ X4 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_44])). 389.33/60.34 thf(c_0_63, plain, ![X5:$i, X4:$i, X1:$i]:(((in @ (esk49_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_54])])). 389.33/60.34 thf(c_0_64, negated_conjecture, (((esk40_0)=(esk39_0))|((esk40_0)=(n_pl @ esk39_0 @ esk42_0))), inference(cn,[status(thm)],[c_0_55])). 389.33/60.34 thf(c_0_65, negated_conjecture, (in @ esk40_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_43])). 389.33/60.34 thf(c_0_66, negated_conjecture, (in @ esk39_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_43])). 389.33/60.34 thf(c_0_67, negated_conjecture, (((esk40_0)=(esk39_0))|(in @ esk42_0 @ nat)), inference(cn,[status(thm)],[c_0_56])). 389.33/60.34 thf(c_0_68, negated_conjecture, (((esk41_0)=(n_pl @ esk40_0 @ esk43_0))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_43])). 389.33/60.34 thf(c_0_69, plain, ![X1044:$i, X1045:$i]:((((ordsucc @ X1044)!=(ordsucc @ X1045))|((X1044)=(X1045)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])). 389.33/60.34 thf(c_0_70, negated_conjecture, ((n_pl @ esk41_0 @ n_1)=(n_pl @ n_1 @ esk41_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_51]), c_0_59])). 389.33/60.34 thf(c_0_71, plain, ![X1:$i, X4:$i]:((((ordsucc @ (n_pl @ X1 @ X4))=(n_pl @ X1 @ (ordsucc @ X4)))|~((in @ X1 @ nat))|~((in @ X4 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_60])). 389.33/60.34 thf(c_0_72, negated_conjecture, ((n_pl @ esk43_0 @ n_1)=(n_pl @ n_1 @ esk43_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_53]), c_0_61])). 389.33/60.34 thf(c_0_73, negated_conjecture, ![X1:$i]:((~((in @ X1 @ nat))|((esk41_0)!=(n_pl @ esk39_0 @ X1))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_43])). 389.33/60.34 thf(c_0_74, plain, ![X7:$i, X6:$i, X5:$i, X4:$i, X1:$i]:((((X1)=(n_pl @ X4 @ (esk49_3 @ X4 @ X5 @ X1)))|((X5)!=(n_pl @ X4 @ X7))|((X1)!=(n_pl @ X5 @ X6))|~((in @ X7 @ nat))|~((in @ X6 @ nat))|~((in @ X5 @ nat))|~((in @ X4 @ nat))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[c_0_62])). 389.33/60.34 thf(c_0_75, negated_conjecture, ![X1:$i]:((((esk39_0)=(esk40_0))|(in @ (esk49_3 @ esk39_0 @ esk40_0 @ (n_pl @ esk40_0 @ X1)) @ nat)|~((in @ (n_pl @ esk40_0 @ X1) @ nat))|~((in @ X1 @ nat)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_65]), c_0_66])]), c_0_67])). 389.33/60.34 thf(c_0_76, negated_conjecture, ((esk41_0)=(n_pl @ esk40_0 @ esk43_0)), inference(cn,[status(thm)],[c_0_68])). 389.33/60.34 thf(c_0_77, plain, ![X1:$i, X4:$i]:((((X1)=(X4))|((ordsucc @ X1)!=(ordsucc @ X4)))), inference(split_conjunct,[status(thm)],[c_0_69])). 389.33/60.34 thf(c_0_78, negated_conjecture, ((ordsucc @ esk41_0)=(n_pl @ n_1 @ esk41_0)), inference(rw,[status(thm)],[c_0_59, c_0_70])). 389.33/60.34 thf(c_0_79, negated_conjecture, ![X1:$i]:((((ordsucc @ (n_pl @ X1 @ esk43_0))=(n_pl @ X1 @ (n_pl @ n_1 @ esk43_0)))|~((in @ X1 @ nat)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_53]), c_0_61]), c_0_72])). 389.33/60.34 thf(c_0_80, negated_conjecture, ![X1:$i]:((((esk41_0)!=(n_pl @ esk39_0 @ X1))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[c_0_73])). 389.33/60.34 thf(c_0_81, plain, ![X5:$i, X4:$i, X1:$i]:((((n_pl @ X1 @ (esk49_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_74])])). 389.33/60.34 thf(c_0_82, negated_conjecture, (((esk39_0)=(esk40_0))|(in @ (esk49_3 @ esk39_0 @ esk40_0 @ esk41_0) @ nat)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_51]), c_0_53])])). 389.33/60.34 thf(c_0_83, negated_conjecture, ![X1:$i]:((((X1)=(esk41_0))|((ordsucc @ X1)!=(n_pl @ n_1 @ esk41_0)))), inference(spm,[status(thm)],[c_0_77, c_0_78])). 389.33/60.34 thf(c_0_84, negated_conjecture, ((ordsucc @ (n_pl @ esk39_0 @ esk43_0))=(n_pl @ esk39_0 @ (n_pl @ n_1 @ esk43_0))), inference(spm,[status(thm)],[c_0_79, c_0_66])). 389.33/60.34 thf(c_0_85, negated_conjecture, ((n_pl @ esk39_0 @ esk43_0)!=(esk41_0)), inference(spm,[status(thm)],[c_0_80, c_0_53])). 389.33/60.34 thf(c_0_86, negated_conjecture, ![X1:$i]:((((n_pl @ esk39_0 @ (esk49_3 @ esk39_0 @ esk40_0 @ (n_pl @ esk40_0 @ X1)))=(n_pl @ esk40_0 @ X1))|((esk39_0)=(esk40_0))|~((in @ (n_pl @ esk40_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_81, c_0_64]), c_0_65]), c_0_66])]), c_0_67])). 389.33/60.34 thf(c_0_87, negated_conjecture, (((esk39_0)=(esk40_0))|((n_pl @ esk39_0 @ (esk49_3 @ esk39_0 @ esk40_0 @ esk41_0))!=(esk41_0))), inference(spm,[status(thm)],[c_0_80, c_0_82])). 389.33/60.34 thf(c_0_88, negated_conjecture, ((n_pl @ esk39_0 @ (n_pl @ n_1 @ esk43_0))!=(n_pl @ n_1 @ esk41_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_85])). 389.33/60.34 thf(c_0_89, negated_conjecture, ((esk39_0)=(esk40_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_76]), c_0_51]), c_0_53])]), c_0_87])). 389.33/60.34 thf(c_0_90, negated_conjecture, ((n_pl @ esk40_0 @ (n_pl @ n_1 @ esk43_0))=(n_pl @ n_1 @ esk41_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_65]), c_0_76]), c_0_59]), c_0_70])). 389.33/60.34 thf(c_0_91, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88, c_0_89]), c_0_90])]), ['proof']). 389.33/60.34 # SZS output end CNFRefutation 389.33/60.34 # Parsed axioms : 360 389.33/60.34 # Removed by relevancy pruning/SinE : 0 389.33/60.34 # Initial clauses : 754 389.33/60.34 # Removed in clause preprocessing : 401 389.33/60.34 # Initial clauses in saturation : 353 389.33/60.34 # Processed clauses : 41719 389.33/60.34 # ...of these trivial : 791 389.33/60.34 # ...subsumed : 17815 389.33/60.34 # ...remaining for further processing : 23113 389.33/60.34 # Other redundant clauses eliminated : 536 389.33/60.34 # Clauses deleted for lack of memory : 0 389.33/60.34 # Backward-subsumed : 153 389.33/60.34 # Backward-rewritten : 8460 389.33/60.34 # Generated clauses : 1253193 389.33/60.34 # ...of the previous two non-redundant : 1242509 389.33/60.34 # ...aggressively subsumed : 0 389.33/60.34 # Contextual simplify-reflections : 418 389.33/60.34 # Paramodulations : 1248036 389.33/60.34 # Factorizations : 32 389.33/60.34 # NegExts : 3199 389.33/60.34 # Equation resolutions : 589 389.33/60.34 # Disequality decompositions : 0 389.33/60.34 # Total rewrite steps : 473596 389.33/60.34 # ...of those cached : 470762 389.33/60.34 # Propositional unsat checks : 4 389.33/60.34 # Propositional check models : 0 389.33/60.34 # Propositional check unsatisfiable : 0 389.33/60.34 # Propositional clauses : 0 389.33/60.34 # Propositional clauses after purity: 0 389.33/60.34 # Propositional unsat core size : 0 389.33/60.34 # Propositional preprocessing time : 0.000 389.33/60.34 # Propositional encoding time : 5.030 389.33/60.34 # Propositional solver time : 1.591 389.33/60.34 # Success case prop preproc time : 0.000 389.33/60.34 # Success case prop encoding time : 0.000 389.33/60.34 # Success case prop solver time : 0.000 389.33/60.34 # Current number of processed clauses : 13595 389.33/60.34 # Positive orientable unit clauses : 541 389.33/60.34 # Positive unorientable unit clauses: 22 389.33/60.34 # Negative unit clauses : 3814 389.33/60.34 # Non-unit-clauses : 9218 389.33/60.34 # Current number of unprocessed clauses: 1198491 389.33/60.34 # ...number of literals in the above : 4396908 389.33/60.34 # Current number of archived formulas : 0 389.33/60.34 # Current number of archived clauses : 9470 389.33/60.34 # Clause-clause subsumption calls (NU) : 33072438 389.33/60.34 # Rec. Clause-clause subsumption calls : 20010298 389.33/60.34 # Non-unit clause-clause subsumptions : 6619 389.33/60.34 # Unit Clause-clause subsumption calls : 7299392 389.33/60.34 # Rewrite failures with RHS unbound : 0 389.33/60.34 # BW rewrite match attempts : 843 389.33/60.34 # BW rewrite match successes : 249 389.33/60.34 # Condensation attempts : 0 389.33/60.34 # Condensation successes : 0 389.33/60.34 # Termbank termtop insertions : 53725318 389.33/60.34 # Search garbage collected termcells : 25588 389.33/60.34 389.33/60.34 # ------------------------------------------------- 389.33/60.34 # User time : 47.505 s 389.33/60.34 # System time : 0.984 s 389.33/60.34 # Total time : 48.489 s 389.33/60.34 # Maximum resident set size: 6336 pages 389.33/60.34 389.33/60.34 # ------------------------------------------------- 389.33/60.34 # User time : 143.539 s 389.33/60.34 # System time : 2.714 s 389.33/60.34 # Total time : 146.253 s 389.33/60.34 # Maximum resident set size: 2268 pages 389.33/60.34 % E exiting 389.33/60.34 % E exiting 389.33/60.34 EOF