0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_E %s %d THM 0.11/0.33 % Computer : n008.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1440 0.11/0.33 % WCLimit : 180 0.11/0.33 % DateTime : Thu Jul 4 09:00:53 EDT 2024 0.11/0.33 % CPUTime : 0.19/0.47 Running higher-order theorem proving 0.19/0.49 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.UCUFu9sdau/E---3.1_28596.p 3.67/1.03 # Version: 3.2.0-ho 3.67/1.03 # Preprocessing class: HSLSSMSSMLLNHSN. 3.67/1.03 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 3.67/1.03 # Starting almost_fo_3 with 900s (5) cores 3.67/1.03 # Starting sh10 with 180s (1) cores 3.67/1.03 # Starting new_ho_16 with 180s (1) cores 3.67/1.03 # Starting post_as_ho11 with 180s (1) cores 3.67/1.03 # new_ho_16 with pid 28676 completed with status 8 3.67/1.03 # sh10 with pid 28675 completed with status 0 3.67/1.03 # Result found by sh10 3.67/1.03 # Preprocessing class: HSLSSMSSMLLNHSN. 3.67/1.03 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 3.67/1.03 # Starting almost_fo_3 with 900s (5) cores 3.67/1.03 # Starting sh10 with 180s (1) cores 3.67/1.03 # No SInE strategy applied 3.67/1.03 # Search class: HGUNS-FSLF31-MHSSMFNN 3.67/1.03 # partial match(2): HGUNM-FSLF32-MHSSMFNN 3.67/1.03 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 3.67/1.03 # Starting almost_fo_3 with 36s (1) cores 3.67/1.03 # almost_fo_3 with pid 28692 completed with status 0 3.67/1.03 # Result found by almost_fo_3 3.67/1.03 # Preprocessing class: HSLSSMSSMLLNHSN. 3.67/1.03 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 3.67/1.03 # Starting almost_fo_3 with 900s (5) cores 3.67/1.03 # Starting sh10 with 180s (1) cores 3.67/1.03 # No SInE strategy applied 3.67/1.03 # Search class: HGUNS-FSLF31-MHSSMFNN 3.67/1.03 # partial match(2): HGUNM-FSLF32-MHSSMFNN 3.67/1.03 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 3.67/1.03 # Starting almost_fo_3 with 36s (1) cores 3.67/1.03 # Preprocessing time : 0.008 s 3.67/1.03 # Presaturation interreduction done 3.67/1.03 3.67/1.03 # Proof found! 3.67/1.03 # SZS status Theorem 3.67/1.03 # SZS output start CNFRefutation 3.67/1.03 thf(decl_sort1, type, mworld: $tType). 3.67/1.03 thf(decl_22, type, mrel: mworld > mworld > $o). 3.67/1.03 thf(decl_23, type, mactual: mworld). 3.67/1.03 thf(decl_24, type, mlocal: (mworld > $o) > $o). 3.67/1.03 thf(decl_26, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o). 3.67/1.03 thf(decl_28, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o). 3.67/1.03 thf(decl_30, type, mbox: (mworld > $o) > mworld > $o). 3.67/1.03 thf(decl_32, type, eiw_di: $i > mworld > $o). 3.67/1.03 thf(decl_33, type, mforall_di: ($i > mworld > $o) > mworld > $o). 3.67/1.03 thf(decl_35, type, r2: mworld > $o). 3.67/1.03 thf(decl_61, type, or_2: mworld > $o). 3.67/1.03 thf(decl_67, type, is_a_theorem: $i > mworld > $o). 3.67/1.03 thf(decl_70, type, or: $i > $i > $i). 3.67/1.03 thf(decl_72, type, implies: $i > $i > $i). 3.67/1.03 thf(decl_219, type, esk147_0: mworld). 3.67/1.03 thf(decl_221, type, esk149_1: mworld > mworld). 3.67/1.03 thf(decl_222, type, esk150_1: mworld > mworld). 3.67/1.03 thf(decl_223, type, esk151_1: mworld > $i). 3.67/1.03 thf(decl_224, type, esk152_1: mworld > mworld). 3.67/1.03 thf(decl_225, type, esk153_1: mworld > $i). 3.67/1.03 thf(decl_226, type, esk154_1: mworld > mworld). 3.67/1.03 thf(decl_255, type, esk183_1: mworld > mworld). 3.67/1.03 thf(decl_256, type, esk184_1: mworld > mworld). 3.67/1.03 thf(decl_257, type, esk185_1: mworld > $i). 3.67/1.03 thf(decl_258, type, esk186_1: mworld > mworld). 3.67/1.03 thf(decl_259, type, esk187_1: mworld > $i). 3.67/1.03 thf(decl_260, type, esk188_1: mworld > mworld). 3.67/1.03 thf(mlocal_def, axiom, ((mlocal)=(^[X1:mworld > $o]:((X1 @ mactual)))), file('/export/starexec/sandbox/tmp/tmp.UCUFu9sdau/E---3.1_28596.p', mlocal_def)). 3.67/1.03 thf(mand_def, axiom, ((mand)=(^[X2:mworld > $o, X4:mworld > $o, X3:mworld]:(((X2 @ X3)&(X4 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.UCUFu9sdau/E---3.1_28596.p', mand_def)). 3.67/1.03 thf(mimplies_def, axiom, ((mimplies)=(^[X2:mworld > $o, X4:mworld > $o, X3:mworld]:(((X2 @ X3)=>(X4 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.UCUFu9sdau/E---3.1_28596.p', mimplies_def)). 3.67/1.03 thf(mbox_def, axiom, ((mbox)=(^[X1:mworld > $o, X3:mworld]:(![X5:mworld]:(((mrel @ X3 @ X5)=>(X1 @ X5)))))), file('/export/starexec/sandbox/tmp/tmp.UCUFu9sdau/E---3.1_28596.p', mbox_def)). 3.67/1.03 thf(mforall_di_def, axiom, ((mforall_di)=(^[X6:$i > mworld > $o, X3:mworld]:(![X7:$i]:(((eiw_di @ X7 @ X3)=>(X6 @ X7 @ X3)))))), file('/export/starexec/sandbox/tmp/tmp.UCUFu9sdau/E---3.1_28596.p', mforall_di_def)). 3.67/1.03 thf(r2_0, axiom, (mlocal @ (mand @ (mbox @ (mimplies @ (mbox @ r2) @ (mbox @ (mforall_di @ (^[X16:$i]:(mbox @ (mforall_di @ (^[X17:$i]:(mbox @ (is_a_theorem @ (implies @ X17 @ (or @ X16 @ X17)))))))))))) @ (mbox @ (mimplies @ (mbox @ (mforall_di @ (^[X16:$i]:(mbox @ (mforall_di @ (^[X17:$i]:(mbox @ (is_a_theorem @ (implies @ X17 @ (or @ X16 @ X17)))))))))) @ (mbox @ r2))))), file('/export/starexec/sandbox/tmp/tmp.UCUFu9sdau/E---3.1_28596.p', r2_0)). 3.67/1.03 thf(or_2_0, axiom, (mlocal @ (mand @ (mbox @ (mimplies @ (mbox @ or_2) @ (mbox @ (mforall_di @ (^[X7:$i]:(mbox @ (mforall_di @ (^[X9:$i]:(mbox @ (is_a_theorem @ (implies @ X9 @ (or @ X7 @ X9)))))))))))) @ (mbox @ (mimplies @ (mbox @ (mforall_di @ (^[X7:$i]:(mbox @ (mforall_di @ (^[X9:$i]:(mbox @ (is_a_theorem @ (implies @ X9 @ (or @ X7 @ X9)))))))))) @ (mbox @ or_2))))), file('/export/starexec/sandbox/tmp/tmp.UCUFu9sdau/E---3.1_28596.p', or_2_0)). 3.67/1.03 thf(mrel_reflexive, axiom, ![X3:mworld]:((mrel @ X3 @ X3)), file('/export/starexec/sandbox/tmp/tmp.UCUFu9sdau/E---3.1_28596.p', mrel_reflexive)). 3.67/1.03 thf(principia_r2, conjecture, (mlocal @ (mbox @ r2)), file('/export/starexec/sandbox/tmp/tmp.UCUFu9sdau/E---3.1_28596.p', principia_r2)). 3.67/1.03 thf(hilbert_or_2, axiom, (mlocal @ (mbox @ or_2)), file('/export/starexec/sandbox/tmp/tmp.UCUFu9sdau/E---3.1_28596.p', hilbert_or_2)). 3.67/1.03 thf(c_0_10, plain, ((mlocal)=(^[Z0/* 3 */:mworld > $o]:((Z0 @ mactual)))), inference(fof_simplification,[status(thm)],[mlocal_def])). 3.67/1.03 thf(c_0_11, plain, ((mand)=(^[Z0/* 19 */:mworld > $o, Z1:mworld > $o, Z2:mworld]:(((Z0 @ Z2)&(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mand_def])). 3.67/1.03 thf(c_0_12, plain, ((mimplies)=(^[Z0/* 19 */:mworld > $o, Z1:mworld > $o, Z2:mworld]:(((Z0 @ Z2)=>(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies_def])). 3.67/1.03 thf(c_0_13, plain, ((mbox)=(^[Z0/* 19 */:mworld > $o, Z1:mworld]:(![X5:mworld]:(((mrel @ Z1 @ X5)=>(Z0 @ X5)))))), inference(fof_simplification,[status(thm)],[mbox_def])). 3.67/1.03 thf(c_0_14, plain, ((mforall_di)=(^[Z0/* 19 */:$i > mworld > $o, Z1:mworld]:(![X7:$i]:(((eiw_di @ X7 @ Z1)=>(Z0 @ X7 @ Z1)))))), inference(fof_simplification,[status(thm)],[mforall_di_def])). 3.67/1.03 thf(c_0_15, plain, (![X580:mworld]:(((mrel @ mactual @ X580)=>(![X574:mworld]:(((mrel @ X580 @ X574)=>(r2 @ X574)))=>![X579:mworld]:(((mrel @ X580 @ X579)=>![X578:$i]:(((eiw_di @ X578 @ X579)=>![X577:mworld]:(((mrel @ X579 @ X577)=>![X576:$i]:(((eiw_di @ X576 @ X577)=>![X575:mworld]:(((mrel @ X577 @ X575)=>(is_a_theorem @ (implies @ X576 @ (or @ X578 @ X576)) @ X575))))))))))))))&![X587:mworld]:(((mrel @ mactual @ X587)=>(![X585:mworld]:(((mrel @ X587 @ X585)=>![X584:$i]:(((eiw_di @ X584 @ X585)=>![X583:mworld]:(((mrel @ X585 @ X583)=>![X582:$i]:(((eiw_di @ X582 @ X583)=>![X581:mworld]:(((mrel @ X583 @ X581)=>(is_a_theorem @ (implies @ X582 @ (or @ X584 @ X582)) @ X581)))))))))))=>![X586:mworld]:(((mrel @ X587 @ X586)=>(r2 @ X586))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[r2_0]), c_0_10]), c_0_11]), c_0_12]), c_0_13]), c_0_14])). 3.67/1.03 thf(c_0_16, plain, (![X494:mworld]:(((mrel @ mactual @ X494)=>(![X488:mworld]:(((mrel @ X494 @ X488)=>(or_2 @ X488)))=>![X493:mworld]:(((mrel @ X494 @ X493)=>![X492:$i]:(((eiw_di @ X492 @ X493)=>![X491:mworld]:(((mrel @ X493 @ X491)=>![X490:$i]:(((eiw_di @ X490 @ X491)=>![X489:mworld]:(((mrel @ X491 @ X489)=>(is_a_theorem @ (implies @ X490 @ (or @ X492 @ X490)) @ X489))))))))))))))&![X501:mworld]:(((mrel @ mactual @ X501)=>(![X499:mworld]:(((mrel @ X501 @ X499)=>![X498:$i]:(((eiw_di @ X498 @ X499)=>![X497:mworld]:(((mrel @ X499 @ X497)=>![X496:$i]:(((eiw_di @ X496 @ X497)=>![X495:mworld]:(((mrel @ X497 @ X495)=>(is_a_theorem @ (implies @ X496 @ (or @ X498 @ X496)) @ X495)))))))))))=>![X500:mworld]:(((mrel @ X501 @ X500)=>(or_2 @ X500))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[or_2_0]), c_0_10]), c_0_11]), c_0_12]), c_0_13]), c_0_14])). 3.67/1.03 thf(c_0_17, plain, ![X1127:mworld, X1129:mworld, X1130:$i, X1131:mworld, X1132:$i, X1133:mworld, X1134:mworld, X1140:mworld]:(((((mrel @ X1127 @ (esk183_1 @ X1127))|(~(mrel @ X1127 @ X1129)|(~(eiw_di @ X1130 @ X1129)|(~(mrel @ X1129 @ X1131)|(~(eiw_di @ X1132 @ X1131)|(~(mrel @ X1131 @ X1133)|(is_a_theorem @ (implies @ X1132 @ (or @ X1130 @ X1132)) @ X1133))))))|~(mrel @ mactual @ X1127))&(~(r2 @ (esk183_1 @ X1127))|(~(mrel @ X1127 @ X1129)|(~(eiw_di @ X1130 @ X1129)|(~(mrel @ X1129 @ X1131)|(~(eiw_di @ X1132 @ X1131)|(~(mrel @ X1131 @ X1133)|(is_a_theorem @ (implies @ X1132 @ (or @ X1130 @ X1132)) @ X1133))))))|~(mrel @ mactual @ X1127)))&(((mrel @ X1134 @ (esk184_1 @ X1134))|(~(mrel @ X1134 @ X1140)|(r2 @ X1140))|~(mrel @ mactual @ X1134))&(((eiw_di @ (esk185_1 @ X1134) @ (esk184_1 @ X1134))|(~(mrel @ X1134 @ X1140)|(r2 @ X1140))|~(mrel @ mactual @ X1134))&(((mrel @ (esk184_1 @ X1134) @ (esk186_1 @ X1134))|(~(mrel @ X1134 @ X1140)|(r2 @ X1140))|~(mrel @ mactual @ X1134))&(((eiw_di @ (esk187_1 @ X1134) @ (esk186_1 @ X1134))|(~(mrel @ X1134 @ X1140)|(r2 @ X1140))|~(mrel @ mactual @ X1134))&(((mrel @ (esk186_1 @ X1134) @ (esk188_1 @ X1134))|(~(mrel @ X1134 @ X1140)|(r2 @ X1140))|~(mrel @ mactual @ X1134))&(~(is_a_theorem @ (implies @ (esk187_1 @ X1134) @ (or @ (esk185_1 @ X1134) @ (esk187_1 @ X1134))) @ (esk188_1 @ X1134))|(~(mrel @ X1134 @ X1140)|(r2 @ X1140))|~(mrel @ mactual @ X1134))))))))), 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_15])])])])])])). 3.67/1.03 thf(c_0_18, plain, ![X619:mworld]:((mrel @ X619 @ X619)), inference(variable_rename,[status(thm)],[mrel_reflexive])). 3.67/1.03 thf(c_0_19, negated_conjecture, ~(![X478:mworld]:(((mrel @ mactual @ X478)=>(r2 @ X478)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[principia_r2]), c_0_10]), c_0_13])). 3.67/1.03 thf(c_0_20, plain, ![X1039:mworld, X1041:mworld, X1042:$i, X1043:mworld, X1044:$i, X1045:mworld, X1046:mworld, X1052:mworld]:(((((mrel @ X1039 @ (esk149_1 @ X1039))|(~(mrel @ X1039 @ X1041)|(~(eiw_di @ X1042 @ X1041)|(~(mrel @ X1041 @ X1043)|(~(eiw_di @ X1044 @ X1043)|(~(mrel @ X1043 @ X1045)|(is_a_theorem @ (implies @ X1044 @ (or @ X1042 @ X1044)) @ X1045))))))|~(mrel @ mactual @ X1039))&(~(or_2 @ (esk149_1 @ X1039))|(~(mrel @ X1039 @ X1041)|(~(eiw_di @ X1042 @ X1041)|(~(mrel @ X1041 @ X1043)|(~(eiw_di @ X1044 @ X1043)|(~(mrel @ X1043 @ X1045)|(is_a_theorem @ (implies @ X1044 @ (or @ X1042 @ X1044)) @ X1045))))))|~(mrel @ mactual @ X1039)))&(((mrel @ X1046 @ (esk150_1 @ X1046))|(~(mrel @ X1046 @ X1052)|(or_2 @ X1052))|~(mrel @ mactual @ X1046))&(((eiw_di @ (esk151_1 @ X1046) @ (esk150_1 @ X1046))|(~(mrel @ X1046 @ X1052)|(or_2 @ X1052))|~(mrel @ mactual @ X1046))&(((mrel @ (esk150_1 @ X1046) @ (esk152_1 @ X1046))|(~(mrel @ X1046 @ X1052)|(or_2 @ X1052))|~(mrel @ mactual @ X1046))&(((eiw_di @ (esk153_1 @ X1046) @ (esk152_1 @ X1046))|(~(mrel @ X1046 @ X1052)|(or_2 @ X1052))|~(mrel @ mactual @ X1046))&(((mrel @ (esk152_1 @ X1046) @ (esk154_1 @ X1046))|(~(mrel @ X1046 @ X1052)|(or_2 @ X1052))|~(mrel @ mactual @ X1046))&(~(is_a_theorem @ (implies @ (esk153_1 @ X1046) @ (or @ (esk151_1 @ X1046) @ (esk153_1 @ X1046))) @ (esk154_1 @ X1046))|(~(mrel @ X1046 @ X1052)|(or_2 @ X1052))|~(mrel @ mactual @ X1046))))))))), 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_16])])])])])])). 3.67/1.03 thf(c_0_21, plain, ![X5:mworld, X3:mworld]:(((mrel @ X3 @ (esk184_1 @ X3))|(r2 @ X5)|~((mrel @ X3 @ X5))|~((mrel @ mactual @ X3)))), inference(split_conjunct,[status(thm)],[c_0_17])). 3.67/1.03 thf(c_0_22, plain, ![X3:mworld]:((mrel @ X3 @ X3)), inference(split_conjunct,[status(thm)],[c_0_18])). 3.67/1.03 thf(c_0_23, negated_conjecture, ((mrel @ mactual @ esk147_0)&~(r2 @ esk147_0)), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])). 3.67/1.03 thf(c_0_24, plain, ![X7:$i, X9:$i, X5:mworld, X36:mworld, X35:mworld, X3:mworld]:(((mrel @ X3 @ (esk149_1 @ X3))|(is_a_theorem @ (implies @ X9 @ (or @ X7 @ X9)) @ X36)|~((mrel @ X3 @ X5))|~((eiw_di @ X7 @ X5))|~((mrel @ X5 @ X35))|~((eiw_di @ X9 @ X35))|~((mrel @ X35 @ X36))|~((mrel @ mactual @ X3)))), inference(split_conjunct,[status(thm)],[c_0_20])). 3.67/1.03 thf(c_0_25, plain, ![X3:mworld]:(((mrel @ mactual @ (esk184_1 @ mactual))|(r2 @ X3)|~((mrel @ mactual @ X3)))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 3.67/1.03 thf(c_0_26, negated_conjecture, (mrel @ mactual @ esk147_0), inference(split_conjunct,[status(thm)],[c_0_23])). 3.67/1.03 thf(c_0_27, negated_conjecture, ~((r2 @ esk147_0)), inference(split_conjunct,[status(thm)],[c_0_23])). 3.67/1.03 thf(c_0_28, plain, ![X5:mworld, X3:mworld]:(((eiw_di @ (esk185_1 @ X3) @ (esk184_1 @ X3))|(r2 @ X5)|~((mrel @ X3 @ X5))|~((mrel @ mactual @ X3)))), inference(split_conjunct,[status(thm)],[c_0_17])). 3.67/1.03 thf(c_0_29, plain, ![X7:$i, X3:mworld, X5:mworld, X9:$i, X35:mworld]:(((is_a_theorem @ (implies @ X7 @ (or @ X9 @ X7)) @ X3)|(mrel @ mactual @ (esk149_1 @ mactual))|~((mrel @ mactual @ X5))|~((eiw_di @ X7 @ X35))|~((eiw_di @ X9 @ X5))|~((mrel @ X35 @ X3))|~((mrel @ X5 @ X35)))), inference(spm,[status(thm)],[c_0_24, c_0_22])). 3.67/1.03 thf(c_0_30, negated_conjecture, (mrel @ mactual @ (esk184_1 @ mactual)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27])). 3.67/1.03 thf(c_0_31, plain, ![X3:mworld]:(((eiw_di @ (esk185_1 @ mactual) @ (esk184_1 @ mactual))|(r2 @ X3)|~((mrel @ mactual @ X3)))), inference(spm,[status(thm)],[c_0_28, c_0_22])). 3.67/1.03 thf(c_0_32, plain, ![X5:mworld, X3:mworld]:(((mrel @ (esk184_1 @ X3) @ (esk186_1 @ X3))|(r2 @ X5)|~((mrel @ X3 @ X5))|~((mrel @ mactual @ X3)))), inference(split_conjunct,[status(thm)],[c_0_17])). 3.67/1.03 thf(c_0_33, negated_conjecture, ![X7:$i, X9:$i, X5:mworld, X3:mworld]:(((is_a_theorem @ (implies @ X7 @ (or @ X9 @ X7)) @ X3)|(mrel @ mactual @ (esk149_1 @ mactual))|~((eiw_di @ X9 @ (esk184_1 @ mactual)))|~((mrel @ (esk184_1 @ mactual) @ X5))|~((eiw_di @ X7 @ X5))|~((mrel @ X5 @ X3)))), inference(spm,[status(thm)],[c_0_29, c_0_30])). 3.67/1.03 thf(c_0_34, negated_conjecture, (eiw_di @ (esk185_1 @ mactual) @ (esk184_1 @ mactual)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_26]), c_0_27])). 3.67/1.03 thf(c_0_35, plain, ![X3:mworld]:(((mrel @ (esk184_1 @ mactual) @ (esk186_1 @ mactual))|(r2 @ X3)|~((mrel @ mactual @ X3)))), inference(spm,[status(thm)],[c_0_32, c_0_22])). 3.67/1.03 thf(c_0_36, plain, ![X5:mworld, X3:mworld]:(((eiw_di @ (esk187_1 @ X3) @ (esk186_1 @ X3))|(r2 @ X5)|~((mrel @ X3 @ X5))|~((mrel @ mactual @ X3)))), inference(split_conjunct,[status(thm)],[c_0_17])). 3.67/1.03 thf(c_0_37, plain, ![X327:mworld]:(((mrel @ mactual @ X327)=>(or_2 @ X327))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[hilbert_or_2, c_0_10]), c_0_13])). 3.67/1.03 thf(c_0_38, negated_conjecture, ![X7:$i, X5:mworld, X3:mworld]:(((is_a_theorem @ (implies @ X7 @ (or @ (esk185_1 @ mactual) @ X7)) @ X3)|(mrel @ mactual @ (esk149_1 @ mactual))|~((mrel @ (esk184_1 @ mactual) @ X5))|~((eiw_di @ X7 @ X5))|~((mrel @ X5 @ X3)))), inference(spm,[status(thm)],[c_0_33, c_0_34])). 3.67/1.03 thf(c_0_39, negated_conjecture, (mrel @ (esk184_1 @ mactual) @ (esk186_1 @ mactual)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_26]), c_0_27])). 3.67/1.03 thf(c_0_40, plain, ![X3:mworld]:(((eiw_di @ (esk187_1 @ mactual) @ (esk186_1 @ mactual))|(r2 @ X3)|~((mrel @ mactual @ X3)))), inference(spm,[status(thm)],[c_0_36, c_0_22])). 3.67/1.03 thf(c_0_41, plain, ![X5:mworld, X3:mworld]:(((mrel @ (esk186_1 @ X3) @ (esk188_1 @ X3))|(r2 @ X5)|~((mrel @ X3 @ X5))|~((mrel @ mactual @ X3)))), inference(split_conjunct,[status(thm)],[c_0_17])). 3.67/1.03 thf(c_0_42, plain, ![X878:mworld]:((~(mrel @ mactual @ X878)|(or_2 @ X878))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])). 3.67/1.03 thf(c_0_43, negated_conjecture, ![X7:$i, X3:mworld]:(((is_a_theorem @ (implies @ X7 @ (or @ (esk185_1 @ mactual) @ X7)) @ X3)|(mrel @ mactual @ (esk149_1 @ mactual))|~((eiw_di @ X7 @ (esk186_1 @ mactual)))|~((mrel @ (esk186_1 @ mactual) @ X3)))), inference(spm,[status(thm)],[c_0_38, c_0_39])). 3.67/1.03 thf(c_0_44, negated_conjecture, (eiw_di @ (esk187_1 @ mactual) @ (esk186_1 @ mactual)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_26]), c_0_27])). 3.67/1.03 thf(c_0_45, plain, ![X3:mworld]:(((mrel @ (esk186_1 @ mactual) @ (esk188_1 @ mactual))|(r2 @ X3)|~((mrel @ mactual @ X3)))), inference(spm,[status(thm)],[c_0_41, c_0_22])). 3.67/1.03 thf(c_0_46, plain, ![X5:mworld, X3:mworld]:(((r2 @ X5)|~((is_a_theorem @ (implies @ (esk187_1 @ X3) @ (or @ (esk185_1 @ X3) @ (esk187_1 @ X3))) @ (esk188_1 @ X3)))|~((mrel @ X3 @ X5))|~((mrel @ mactual @ X3)))), inference(split_conjunct,[status(thm)],[c_0_17])). 3.67/1.03 thf(c_0_47, plain, ![X7:$i, X9:$i, X5:mworld, X36:mworld, X35:mworld, X3:mworld]:(((is_a_theorem @ (implies @ X9 @ (or @ X7 @ X9)) @ X36)|~((or_2 @ (esk149_1 @ X3)))|~((mrel @ X3 @ X5))|~((eiw_di @ X7 @ X5))|~((mrel @ X5 @ X35))|~((eiw_di @ X9 @ X35))|~((mrel @ X35 @ X36))|~((mrel @ mactual @ X3)))), inference(split_conjunct,[status(thm)],[c_0_20])). 3.67/1.03 thf(c_0_48, plain, ![X3:mworld]:(((or_2 @ X3)|~((mrel @ mactual @ X3)))), inference(split_conjunct,[status(thm)],[c_0_42])). 3.67/1.03 thf(c_0_49, negated_conjecture, ![X3:mworld]:(((is_a_theorem @ (implies @ (esk187_1 @ mactual) @ (or @ (esk185_1 @ mactual) @ (esk187_1 @ mactual))) @ X3)|(mrel @ mactual @ (esk149_1 @ mactual))|~((mrel @ (esk186_1 @ mactual) @ X3)))), inference(spm,[status(thm)],[c_0_43, c_0_44])). 3.67/1.03 thf(c_0_50, negated_conjecture, (mrel @ (esk186_1 @ mactual) @ (esk188_1 @ mactual)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_26]), c_0_27])). 3.67/1.03 thf(c_0_51, negated_conjecture, ![X3:mworld]:((~((is_a_theorem @ (implies @ (esk187_1 @ X3) @ (or @ (esk185_1 @ X3) @ (esk187_1 @ X3))) @ (esk188_1 @ X3)))|~((mrel @ mactual @ X3))|~((mrel @ X3 @ esk147_0)))), inference(spm,[status(thm)],[c_0_27, c_0_46])). 3.67/1.03 thf(c_0_52, plain, ![X7:$i, X3:mworld, X5:mworld, X35:mworld, X9:$i, X36:mworld]:(((is_a_theorem @ (implies @ X7 @ (or @ X9 @ X7)) @ X3)|~((mrel @ mactual @ (esk149_1 @ X5)))|~((mrel @ mactual @ X5))|~((eiw_di @ X7 @ X35))|~((eiw_di @ X9 @ X36))|~((mrel @ X35 @ X3))|~((mrel @ X36 @ X35))|~((mrel @ X5 @ X36)))), inference(spm,[status(thm)],[c_0_47, c_0_48])). 3.67/1.03 thf(c_0_53, negated_conjecture, ((is_a_theorem @ (implies @ (esk187_1 @ mactual) @ (or @ (esk185_1 @ mactual) @ (esk187_1 @ mactual))) @ (esk188_1 @ mactual))|(mrel @ mactual @ (esk149_1 @ mactual))), inference(spm,[status(thm)],[c_0_49, c_0_50])). 3.67/1.03 thf(c_0_54, negated_conjecture, ![X3:mworld, X35:mworld, X5:mworld, X36:mworld]:((~((mrel @ mactual @ (esk149_1 @ X3)))|~((eiw_di @ (esk187_1 @ X5) @ X35))|~((eiw_di @ (esk185_1 @ X5) @ X36))|~((mrel @ X35 @ (esk188_1 @ X5)))|~((mrel @ mactual @ X5))|~((mrel @ X5 @ esk147_0))|~((mrel @ mactual @ X3))|~((mrel @ X36 @ X35))|~((mrel @ X3 @ X36)))), inference(spm,[status(thm)],[c_0_51, c_0_52])). 3.67/1.03 thf(c_0_55, negated_conjecture, (mrel @ mactual @ (esk149_1 @ mactual)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_53]), c_0_22]), c_0_26])])). 3.67/1.03 thf(c_0_56, negated_conjecture, ![X3:mworld, X35:mworld, X5:mworld]:((~((eiw_di @ (esk187_1 @ X3) @ X5))|~((eiw_di @ (esk185_1 @ X3) @ X35))|~((mrel @ X5 @ (esk188_1 @ X3)))|~((mrel @ mactual @ X3))|~((mrel @ X3 @ esk147_0))|~((mrel @ mactual @ X35))|~((mrel @ X35 @ X5)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_22])])). 3.67/1.03 thf(c_0_57, negated_conjecture, ![X3:mworld]:((~((eiw_di @ (esk185_1 @ mactual) @ X3))|~((mrel @ X3 @ (esk186_1 @ mactual)))|~((mrel @ mactual @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_44]), c_0_50]), c_0_22]), c_0_26])])). 3.67/1.03 thf(c_0_58, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_34]), c_0_39]), c_0_30])]), ['proof']). 3.67/1.03 # SZS output end CNFRefutation 3.67/1.03 # Parsed axioms : 130 3.67/1.03 # Removed by relevancy pruning/SinE : 0 3.67/1.03 # Initial clauses : 343 3.67/1.03 # Removed in clause preprocessing : 52 3.67/1.03 # Initial clauses in saturation : 291 3.67/1.03 # Processed clauses : 2577 3.67/1.03 # ...of these trivial : 0 3.67/1.03 # ...subsumed : 85 3.67/1.03 # ...remaining for further processing : 2492 3.67/1.03 # Other redundant clauses eliminated : 0 3.67/1.03 # Clauses deleted for lack of memory : 0 3.67/1.03 # Backward-subsumed : 0 3.67/1.03 # Backward-rewritten : 106 3.67/1.03 # Generated clauses : 2739 3.67/1.03 # ...of the previous two non-redundant : 2738 3.67/1.03 # ...aggressively subsumed : 0 3.67/1.03 # Contextual simplify-reflections : 0 3.67/1.03 # Paramodulations : 2739 3.67/1.03 # Factorizations : 0 3.67/1.03 # NegExts : 0 3.67/1.03 # Equation resolutions : 0 3.67/1.03 # Disequality decompositions : 0 3.67/1.03 # Total rewrite steps : 138 3.67/1.03 # ...of those cached : 121 3.67/1.03 # Propositional unsat checks : 0 3.67/1.03 # Propositional check models : 0 3.67/1.03 # Propositional check unsatisfiable : 0 3.67/1.03 # Propositional clauses : 0 3.67/1.03 # Propositional clauses after purity: 0 3.67/1.03 # Propositional unsat core size : 0 3.67/1.03 # Propositional preprocessing time : 0.000 3.67/1.03 # Propositional encoding time : 0.000 3.67/1.03 # Propositional solver time : 0.000 3.67/1.03 # Success case prop preproc time : 0.000 3.67/1.03 # Success case prop encoding time : 0.000 3.67/1.03 # Success case prop solver time : 0.000 3.67/1.03 # Current number of processed clauses : 2096 3.67/1.03 # Positive orientable unit clauses : 17 3.67/1.03 # Positive unorientable unit clauses: 0 3.67/1.03 # Negative unit clauses : 2 3.67/1.03 # Non-unit-clauses : 2077 3.67/1.03 # Current number of unprocessed clauses: 727 3.67/1.03 # ...number of literals in the above : 5723 3.67/1.03 # Current number of archived formulas : 0 3.67/1.03 # Current number of archived clauses : 396 3.67/1.03 # Clause-clause subsumption calls (NU) : 1852767 3.67/1.03 # Rec. Clause-clause subsumption calls : 721215 3.67/1.03 # Non-unit clause-clause subsumptions : 85 3.67/1.03 # Unit Clause-clause subsumption calls : 4002 3.67/1.03 # Rewrite failures with RHS unbound : 0 3.67/1.03 # BW rewrite match attempts : 16 3.67/1.03 # BW rewrite match successes : 14 3.67/1.03 # Condensation attempts : 0 3.67/1.03 # Condensation successes : 0 3.67/1.03 # Termbank termtop insertions : 131607 3.67/1.03 # Search garbage collected termcells : 27589 3.67/1.03 3.67/1.03 # ------------------------------------------------- 3.67/1.03 # User time : 0.501 s 3.67/1.03 # System time : 0.010 s 3.67/1.03 # Total time : 0.511 s 3.67/1.03 # Maximum resident set size: 6040 pages 3.67/1.03 3.67/1.03 # ------------------------------------------------- 3.67/1.03 # User time : 0.519 s 3.67/1.03 # System time : 0.028 s 3.67/1.03 # Total time : 0.546 s 3.67/1.03 # Maximum resident set size: 1896 pages 3.67/1.03 % E---3.1 exiting 3.67/1.03 % E exiting 3.67/1.03 EOF