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 0.18/0.43 % Computer : n023.cluster.edu 0.18/0.43 % Model : x86_64 x86_64 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.18/0.43 % Memory : 8046.5625MB 0.18/0.43 % OS : Linux 6.8.0-71-generic 0.18/0.44 % CPULimit : 1440 0.18/0.44 % WCLimit : 180 0.18/0.44 % DateTime : Mon Jul 27 12:29:36 UTC 2026 0.18/0.44 % CPUTime : 0.18/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.25/0.51 Running higher-order theorem proving 0.25/0.53 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.sGLSnfhucU/E---3.1_915815.p 0.83/0.74 % Version: 3.5.1-ho 0.83/0.74 % Preprocessing class: HSMSSMSSMLSNHSN. 0.83/0.74 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.83/0.74 % Starting new_ho_10_cnf2 with 900s (5) cores 0.83/0.74 % Starting post_as_ho3 with 180s (1) cores 0.83/0.74 % Starting post_as_ho11 with 180s (1) cores 0.83/0.74 % Starting full_lambda_8 with 180s (1) cores 0.83/0.74 % new_ho_10_cnf2 with pid 915828 completed with status 0 0.83/0.74 % Result found by new_ho_10_cnf2 0.83/0.74 % Preprocessing class: HSMSSMSSMLSNHSN. 0.83/0.74 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.83/0.74 % Starting new_ho_10_cnf2 with 900s (5) cores 0.83/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 0.83/0.74 % No SInE strategy applied 0.83/0.74 % Search class: HGUNF-FFSS32-SHSSMMBN 0.83/0.74 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 0.83/0.74 % Starting SubtermCWHack with 82s (1) cores 0.83/0.74 % Starting new_ho_10_cnf2 with 91s (1) cores 0.83/0.74 % Starting sh5l with 82s (1) cores 0.83/0.74 % Starting lpo1_def_fix with 82s (1) cores 0.83/0.74 % Starting ehoh_best8_lambda with 82s (1) cores 0.83/0.74 % sh5l with pid 915836 completed with status 0 0.83/0.74 % Result found by sh5l 0.83/0.74 % Preprocessing class: HSMSSMSSMLSNHSN. 0.83/0.74 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.83/0.74 % Starting new_ho_10_cnf2 with 900s (5) cores 0.83/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 0.83/0.74 % No SInE strategy applied 0.83/0.74 % Search class: HGUNF-FFSS32-SHSSMMBN 0.83/0.74 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 0.83/0.74 % Starting SubtermCWHack with 82s (1) cores 0.83/0.74 % Starting new_ho_10_cnf2 with 91s (1) cores 0.83/0.74 % Starting sh5l with 82s (1) cores 0.83/0.74 % Preprocessing time : 0.002 s 0.83/0.74 % Presaturation interreduction done 0.83/0.74 0.83/0.74 % Proof found! 0.83/0.74 % SZS status Theorem 0.83/0.74 % SZS output start CNFRefutation 0.83/0.74 thf(decl_sort1, type, individuals: $tType). 0.83/0.74 thf(decl_29, type, mnot: ($i > $o) > $i > $o). 0.83/0.74 thf(decl_30, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.83/0.74 thf(decl_32, type, mimpl: ($i > $o) > ($i > $o) > $i > $o). 0.83/0.74 thf(decl_34, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.83/0.74 thf(decl_38, type, mvalid: ($i > $o) > $o). 0.83/0.74 thf(decl_42, type, reli: $i > $i > $o). 0.83/0.74 thf(decl_43, type, relr: $i > $i > $o). 0.83/0.74 thf(decl_44, type, cs4_atom: ($i > $o) > $i > $o). 0.83/0.74 thf(decl_47, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o). 0.83/0.74 thf(decl_51, type, cs4_box: ($i > $o) > $i > $o). 0.83/0.74 thf(decl_53, type, princ_inj: individuals > $i > $o). 0.83/0.74 thf(decl_54, type, bl_atom: ($i > $o) > $i > $o). 0.83/0.74 thf(decl_55, type, bl_princ: ($i > $o) > $i > $o). 0.83/0.74 thf(decl_58, type, bl_impl: ($i > $o) > ($i > $o) > $i > $o). 0.83/0.74 thf(decl_62, type, bl_says: individuals > ($i > $o) > $i > $o). 0.83/0.74 thf(decl_63, type, bl_valid: ($i > $o) > $o). 0.83/0.74 thf(decl_66, type, esk2_2: ($i > $o) > $i > $i). 0.83/0.74 thf(decl_67, type, esk3_2: ($i > $o) > $i > $i). 0.83/0.74 thf(decl_68, type, esk4_2: ($i > $o) > $i > $i). 0.83/0.74 thf(decl_71, type, esk7_0: individuals). 0.83/0.74 thf(decl_72, type, epred1_0: $i > $o). 0.83/0.74 thf(decl_73, type, esk8_0: $i). 0.83/0.74 thf(decl_74, type, esk9_0: $i). 0.83/0.74 thf(decl_75, type, esk10_0: $i). 0.83/0.74 thf(decl_76, type, esk11_0: $i). 0.83/0.74 thf(decl_77, type, esk12_0: $i). 0.83/0.74 thf(decl_78, type, esk13_3: $i > $i > $i > $i). 0.83/0.74 thf(decl_79, type, esk14_0: $i). 0.83/0.74 thf(mimpl, axiom, ((mimpl)=(^[X7:$i > $o, X8:$i > $o]:(mor @ (mnot @ X7) @ X8))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', mimpl)). 0.83/0.74 thf(mnot, axiom, ((mnot)=(^[X2:$i > $o, X3:$i]:(~((X2 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', mnot)). 0.83/0.74 thf(mor, axiom, ((mor)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:((((X4 @ X3))|((X5 @ X3)))))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', mor)). 0.83/0.74 thf(cs4_atom, axiom, ((cs4_atom)=(^[X11:$i > $o]:(mbox @ reli @ X11))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', cs4_atom)). 0.83/0.74 thf(mbox, axiom, ((mbox)=(^[X10:$i > $i > $o, X11:$i > $o, X1:$i]:(![X12:$i]:((((X10 @ X1 @ X12))=>((X11 @ X12))))))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', mbox)). 0.83/0.74 thf(cs4_impl, axiom, ((cs4_impl)=(^[X19:$i > $o, X20:$i > $o]:(mbox @ reli @ (mimpl @ X19 @ X20)))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', cs4_impl)). 0.83/0.74 thf(cs4_box, axiom, ((cs4_box)=(^[X19:$i > $o]:(mbox @ reli @ (mbox @ relr @ X19)))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', cs4_box)). 0.83/0.74 thf(bl_princ, axiom, ((bl_princ)=(^[X11:$i > $o]:(cs4_atom @ X11))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', bl_princ)). 0.83/0.74 thf(bl_atom, axiom, ((bl_atom)=(^[X11:$i > $o]:(cs4_atom @ X11))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', bl_atom)). 0.83/0.74 thf(bl_impl, axiom, ((bl_impl)=(^[X19:$i > $o, X20:$i > $o]:(cs4_impl @ X19 @ X20))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', bl_impl)). 0.83/0.74 thf(bl_says, axiom, ((bl_says)=(^[X23:individuals, X19:$i > $o]:(cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ X23)) @ X19)))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', bl_says)). 0.83/0.74 thf(mvalid, axiom, ((mvalid)=(^[X11:$i > $o]:(![X15:$i]:((X11 @ X15))))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', mvalid)). 0.83/0.74 thf(bl_conceit, conjecture, ![X23:individuals, X19:$i > $o]:((bl_valid @ (bl_says @ X23 @ (bl_impl @ (bl_says @ X23 @ (bl_atom @ X19)) @ (bl_atom @ X19))))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', bl_conceit)). 0.83/0.74 thf(bl_valid_def, axiom, ((bl_valid)=(^[Z0:$i > $o]:(![X47:$i]:((Z0 @ X47))))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', bl_valid_def)). 0.83/0.74 thf(trans_axiom_i, axiom, ![X19:$i > $o]:((mvalid @ (mimpl @ (mbox @ reli @ X19) @ (mbox @ reli @ (mbox @ reli @ X19))))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', trans_axiom_i)). 0.83/0.74 thf(refl_axiom_r, axiom, ![X19:$i > $o]:((mvalid @ (mimpl @ (mbox @ relr @ X19) @ X19))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', refl_axiom_r)). 0.83/0.74 thf(refl_axiom_i, axiom, ![X19:$i > $o]:((mvalid @ (mimpl @ (mbox @ reli @ X19) @ X19))), file('/export/starexec/sandbox2/tmp/tmp.sGLSnfhucU/E---3.1_915815.p', refl_axiom_i)). 0.83/0.74 thf(c_0_17, plain, ((mimpl)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((Z0 @ Z2))))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mimpl])). 0.83/0.74 thf(c_0_18, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.83/0.74 thf(c_0_19, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mor])). 0.83/0.74 thf(c_0_20, plain, ((cs4_atom)=(^[Z0:$i > $o, Z1:$i]:(![X31:$i]:((((reli @ Z1 @ X31))=>((Z0 @ X31))))))), inference(fof_simplification,[status(thm)],[cs4_atom])). 0.83/0.74 thf(c_0_21, plain, ((mbox)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X12:$i]:((((Z0 @ Z2 @ X12))=>((Z1 @ X12))))))), inference(fof_simplification,[status(thm)],[mbox])). 0.83/0.74 thf(c_0_22, plain, ((cs4_impl)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(![X32:$i]:((((reli @ Z2 @ X32))=>(((((~((Z0 @ X32))))|((Z1 @ X32)))))))))), inference(fof_simplification,[status(thm)],[cs4_impl])). 0.83/0.74 thf(c_0_23, plain, ((mimpl)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((Z0 @ Z2))))|((Z1 @ Z2)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17, c_0_18]), c_0_19])). 0.83/0.74 thf(c_0_24, plain, ((cs4_box)=(^[Z0:$i > $o, Z1:$i]:(![X36:$i]:((((reli @ Z1 @ X36))=>((![X35:$i]:((((relr @ X36 @ X35))=>((Z0 @ X35))))))))))), inference(fof_simplification,[status(thm)],[cs4_box])). 0.83/0.74 thf(c_0_25, plain, ((bl_princ)=(^[Z0:$i > $o, Z1:$i]:(![X39:$i]:((((reli @ Z1 @ X39))=>((Z0 @ X39))))))), inference(fof_simplification,[status(thm)],[bl_princ])). 0.83/0.74 thf(c_0_26, plain, ((cs4_atom)=(^[Z0:$i > $o, Z1:$i]:(![X31:$i]:((((reli @ Z1 @ X31))=>((Z0 @ X31))))))), inference(apply_def,[status(thm)],[c_0_20, c_0_21])). 0.83/0.74 thf(c_0_27, plain, ((bl_atom)=(^[Z0:$i > $o, Z1:$i]:(![X38:$i]:((((reli @ Z1 @ X38))=>((Z0 @ X38))))))), inference(fof_simplification,[status(thm)],[bl_atom])). 0.83/0.74 thf(c_0_28, plain, ((bl_impl)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(![X40:$i]:((((reli @ Z2 @ X40))=>(((((~((Z0 @ X40))))|((Z1 @ X40)))))))))), inference(fof_simplification,[status(thm)],[bl_impl])). 0.83/0.74 thf(c_0_29, plain, ((cs4_impl)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(![X32:$i]:((((reli @ Z2 @ X32))=>(((((~((Z0 @ X32))))|((Z1 @ X32)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_22, c_0_23]), c_0_21])). 0.83/0.74 thf(c_0_30, plain, ((bl_says)=(^[Z0:individuals, Z1:$i > $o, Z2:$i]:(![X45:$i]:((((reli @ Z2 @ X45))=>((![X46:$i]:((((relr @ X45 @ X46))=>((![X44:$i]:((((reli @ X46 @ X44))=>(((((~((![X43:$i]:((((reli @ X44 @ X43))=>((princ_inj @ Z0 @ X43))))))))|((Z1 @ X44)))))))))))))))))), inference(fof_simplification,[status(thm)],[bl_says])). 0.83/0.74 thf(c_0_31, plain, ((cs4_box)=(^[Z0:$i > $o, Z1:$i]:(![X36:$i]:((((reli @ Z1 @ X36))=>((![X35:$i]:((((relr @ X36 @ X35))=>((Z0 @ X35))))))))))), inference(apply_def,[status(thm)],[c_0_24, c_0_21])). 0.83/0.74 thf(c_0_32, plain, ((bl_princ)=(^[Z0:$i > $o, Z1:$i]:(![X39:$i]:((((reli @ Z1 @ X39))=>((Z0 @ X39))))))), inference(apply_def,[status(thm)],[c_0_25, c_0_26])). 0.83/0.74 thf(c_0_33, plain, ((mvalid)=(^[Z0:$i > $o]:(![X15:$i]:((Z0 @ X15))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.83/0.74 thf(c_0_34, negated_conjecture, ~(![X23:individuals, X19:$i > $o]:((bl_valid @ (bl_says @ X23 @ (bl_impl @ (bl_says @ X23 @ (bl_atom @ X19)) @ (bl_atom @ X19)))))), inference(assume_negation,[status(cth)],[bl_conceit])). 0.83/0.74 thf(c_0_35, plain, ((bl_atom)=(^[Z0:$i > $o, Z1:$i]:(![X38:$i]:((((reli @ Z1 @ X38))=>((Z0 @ X38))))))), inference(apply_def,[status(thm)],[c_0_27, c_0_26])). 0.83/0.74 thf(c_0_36, plain, ((bl_impl)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(![X40:$i]:((((reli @ Z2 @ X40))=>(((((~((Z0 @ X40))))|((Z1 @ X40)))))))))), inference(apply_def,[status(thm)],[c_0_28, c_0_29])). 0.83/0.74 thf(c_0_37, plain, ((bl_says)=(^[Z0:individuals, Z1:$i > $o, Z2:$i]:(![X45:$i]:((((reli @ Z2 @ X45))=>((![X46:$i]:((((relr @ X45 @ X46))=>((![X44:$i]:((((reli @ X46 @ X44))=>(((((~((![X43:$i]:((((reli @ X44 @ X43))=>((princ_inj @ Z0 @ X43))))))))|((Z1 @ X44)))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_30, c_0_29]), c_0_31]), c_0_32])). 0.83/0.74 thf(c_0_38, axiom, ((bl_valid)=(^[Z0:$i > $o]:(![X47:$i]:((Z0 @ X47))))), inference(apply_def,[status(thm)],[bl_valid_def, c_0_33])). 0.83/0.74 thf(c_0_39, negated_conjecture, ~(![X23:individuals, X19:$i > $o, X80:$i, X76:$i]:(((reli @ X80 @ X76)=>![X77:$i]:(((relr @ X76 @ X77)=>![X78:$i]:(((reli @ X77 @ X78)=>(~(![X79:$i]:(((reli @ X78 @ X79)=>(princ_inj @ X23 @ X79))))|![X75:$i]:(((reli @ X78 @ X75)=>(~(![X70:$i]:(((reli @ X75 @ X70)=>![X71:$i]:(((relr @ X70 @ X71)=>![X72:$i]:(((reli @ X71 @ X72)=>(~(![X73:$i]:(((reli @ X72 @ X73)=>(princ_inj @ X23 @ X73))))|![X69:$i]:(((reli @ X72 @ X69)=>(X19 @ X69)))))))))))|![X74:$i]:(((reli @ X75 @ X74)=>(X19 @ X74)))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_34, c_0_35]), c_0_36]), c_0_37]), c_0_38])). 0.83/0.74 thf(c_0_40, plain, ![X19:$i > $o, X59:$i]:((~(![X56:$i]:(((reli @ X59 @ X56)=>(X19 @ X56))))|![X58:$i]:(((reli @ X59 @ X58)=>![X57:$i]:(((reli @ X58 @ X57)=>(X19 @ X57))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[trans_axiom_i, c_0_23]), c_0_21]), c_0_33])). 0.83/0.74 thf(c_0_41, negated_conjecture, ![X113:$i, X115:$i, X116:$i, X117:$i, X119:$i]:(((reli @ esk8_0 @ esk9_0)&((relr @ esk9_0 @ esk10_0)&((reli @ esk10_0 @ esk11_0)&((~(reli @ esk11_0 @ X113)|(princ_inj @ esk7_0 @ X113))&((reli @ esk11_0 @ esk12_0)&((((reli @ X117 @ (esk13_3 @ X115 @ X116 @ X117))|(~(reli @ X117 @ X119)|(epred1_0 @ X119))|~(reli @ X116 @ X117)|~(relr @ X115 @ X116)|~(reli @ esk12_0 @ X115))&(~(princ_inj @ esk7_0 @ (esk13_3 @ X115 @ X116 @ X117))|(~(reli @ X117 @ X119)|(epred1_0 @ X119))|~(reli @ X116 @ X117)|~(relr @ X115 @ X116)|~(reli @ esk12_0 @ X115)))&((reli @ esk12_0 @ esk14_0)&~(epred1_0 @ esk14_0))))))))), 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_39])])])])])])). 0.83/0.74 thf(c_0_42, plain, ![X19:$i > $o, X55:$i]:((~(![X54:$i]:(((relr @ X55 @ X54)=>(X19 @ X54))))|(X19 @ X55))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[refl_axiom_r, c_0_23]), c_0_21]), c_0_33])). 0.83/0.74 thf(c_0_43, plain, ![X92:$i > $o, X93:$i, X95:$i, X96:$i]:((((reli @ X93 @ (esk4_2 @ X92 @ X93))|(~(reli @ X93 @ X95)|(~(reli @ X95 @ X96)|(X92 @ X96))))&(~(X92 @ (esk4_2 @ X92 @ X93))|(~(reli @ X93 @ X95)|(~(reli @ X95 @ X96)|(X92 @ X96)))))), 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])])])])])])). 0.83/0.74 thf(c_0_44, negated_conjecture, ![X1:$i, X13:$i, X12:$i, X3:$i]:(((reli @ X1 @ (esk13_3 @ X3 @ X12 @ X1))|(epred1_0 @ X13)|~((reli @ X1 @ X13))|~((reli @ X12 @ X1))|~((relr @ X3 @ X12))|~((reli @ esk12_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.83/0.74 thf(c_0_45, negated_conjecture, (reli @ esk12_0 @ esk14_0), inference(split_conjunct,[status(thm)],[c_0_41])). 0.83/0.74 thf(c_0_46, negated_conjecture, ~((epred1_0 @ esk14_0)), inference(split_conjunct,[status(thm)],[c_0_41])). 0.83/0.74 thf(c_0_47, plain, ![X89:$i > $o, X90:$i]:((((relr @ X90 @ (esk3_2 @ X89 @ X90))|(X89 @ X90))&(~(X89 @ (esk3_2 @ X89 @ X90))|(X89 @ X90)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])])])). 0.83/0.74 thf(c_0_48, plain, ![X19:$i > $o, X53:$i]:((~(![X52:$i]:(((reli @ X53 @ X52)=>(X19 @ X52))))|(X19 @ X53))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[refl_axiom_i, c_0_23]), c_0_21]), c_0_33])). 0.83/0.74 thf(c_0_49, plain, ![X1:$i, X2:$i > $o, X3:$i, X12:$i]:(((reli @ X1 @ (esk4_2 @ X2 @ X1))|(X2 @ X12)|~((reli @ X1 @ X3))|~((reli @ X3 @ X12)))), inference(split_conjunct,[status(thm)],[c_0_43])). 0.83/0.74 thf(c_0_50, negated_conjecture, ![X1:$i, X3:$i]:(((reli @ esk12_0 @ (esk13_3 @ X1 @ X3 @ esk12_0))|~((reli @ esk12_0 @ X1))|~((reli @ X3 @ esk12_0))|~((relr @ X1 @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46])). 0.83/0.74 thf(c_0_51, plain, ![X2:$i > $o, X1:$i]:(((X2 @ X1)|~((X2 @ (esk3_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_47])). 0.83/0.74 thf(c_0_52, plain, ![X2:$i > $o, X1:$i]:(((relr @ X1 @ (esk3_2 @ X2 @ X1))|(X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_47])). 0.83/0.74 thf(c_0_53, plain, ![X86:$i > $o, X87:$i]:((((reli @ X87 @ (esk2_2 @ X86 @ X87))|(X86 @ X87))&(~(X86 @ (esk2_2 @ X86 @ X87))|(X86 @ X87)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])])])). 0.83/0.74 thf(c_0_54, negated_conjecture, ![X2:$i > $o, X1:$i, X12:$i, X3:$i]:(((X2 @ (esk13_3 @ X1 @ X3 @ esk12_0))|(reli @ X12 @ (esk4_2 @ X2 @ X12))|~((reli @ X12 @ esk12_0))|~((reli @ esk12_0 @ X1))|~((reli @ X3 @ esk12_0))|~((relr @ X1 @ X3)))), inference(spm,[status(thm)],[c_0_49, c_0_50])). 0.83/0.74 thf(c_0_55, plain, ![X1:$i]:((relr @ X1 @ X1)), inference(spm,[status(thm)],[c_0_51, c_0_52])). 0.83/0.74 thf(c_0_56, plain, ![X2:$i > $o, X1:$i]:(((X2 @ X1)|~((X2 @ (esk2_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_53])). 0.83/0.74 thf(c_0_57, plain, ![X2:$i > $o, X1:$i]:(((reli @ X1 @ (esk2_2 @ X2 @ X1))|(X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_53])). 0.83/0.74 thf(c_0_58, negated_conjecture, ![X1:$i, X2:$i > $o, X3:$i]:(((reli @ X1 @ (esk4_2 @ X2 @ X1))|(X2 @ (esk13_3 @ X3 @ X3 @ esk12_0))|~((reli @ X1 @ esk12_0))|~((reli @ esk12_0 @ X3))|~((reli @ X3 @ esk12_0)))), inference(spm,[status(thm)],[c_0_54, c_0_55])). 0.83/0.74 thf(c_0_59, plain, ![X1:$i]:((reli @ X1 @ X1)), inference(spm,[status(thm)],[c_0_56, c_0_57])). 0.83/0.74 thf(c_0_60, negated_conjecture, ![X2:$i > $o, X1:$i]:(((X2 @ (esk13_3 @ esk12_0 @ esk12_0 @ esk12_0))|(reli @ X1 @ (esk4_2 @ X2 @ X1))|~((reli @ X1 @ esk12_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_59])])). 0.83/0.74 thf(c_0_61, negated_conjecture, (reli @ esk11_0 @ esk12_0), inference(split_conjunct,[status(thm)],[c_0_41])). 0.83/0.74 thf(c_0_62, negated_conjecture, ![X13:$i, X12:$i, X3:$i, X1:$i]:(((epred1_0 @ X13)|~((princ_inj @ esk7_0 @ (esk13_3 @ X1 @ X3 @ X12)))|~((reli @ X12 @ X13))|~((reli @ X3 @ X12))|~((relr @ X1 @ X3))|~((reli @ esk12_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.83/0.74 thf(c_0_63, negated_conjecture, ![X2:$i > $o]:(((reli @ esk11_0 @ (esk4_2 @ X2 @ esk11_0))|(X2 @ (esk13_3 @ esk12_0 @ esk12_0 @ esk12_0)))), inference(spm,[status(thm)],[c_0_60, c_0_61])). 0.83/0.74 thf(c_0_64, plain, ![X1:$i, X2:$i > $o, X3:$i, X12:$i]:(((X2 @ X12)|~((X2 @ (esk4_2 @ X2 @ X1)))|~((reli @ X1 @ X3))|~((reli @ X3 @ X12)))), inference(split_conjunct,[status(thm)],[c_0_43])). 0.83/0.74 thf(c_0_65, negated_conjecture, ![X1:$i]:(((princ_inj @ esk7_0 @ X1)|~((reli @ esk11_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.83/0.74 thf(c_0_66, negated_conjecture, ![X1:$i]:(((reli @ esk11_0 @ (esk4_2 @ (princ_inj @ esk7_0) @ esk11_0))|(epred1_0 @ X1)|~((reli @ esk12_0 @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_59]), c_0_55])])). 0.83/0.74 thf(c_0_67, negated_conjecture, ![X1:$i, X3:$i, X12:$i]:(((princ_inj @ esk7_0 @ X1)|~((reli @ esk11_0 @ (esk4_2 @ (princ_inj @ esk7_0) @ X3)))|~((reli @ X12 @ X1))|~((reli @ X3 @ X12)))), inference(spm,[status(thm)],[c_0_64, c_0_65])). 0.83/0.74 thf(c_0_68, negated_conjecture, (reli @ esk11_0 @ (esk4_2 @ (princ_inj @ esk7_0) @ esk11_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_45]), c_0_46])). 0.83/0.74 thf(c_0_69, negated_conjecture, ![X3:$i, X1:$i]:(((princ_inj @ esk7_0 @ X1)|~((reli @ esk11_0 @ X3))|~((reli @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_67, c_0_68])). 0.83/0.74 thf(c_0_70, negated_conjecture, ![X1:$i]:(((princ_inj @ esk7_0 @ X1)|~((reli @ esk12_0 @ X1)))), inference(spm,[status(thm)],[c_0_69, c_0_61])). 0.83/0.74 thf(c_0_71, negated_conjecture, ![X1:$i, X3:$i, X13:$i, X12:$i]:(((epred1_0 @ X1)|~((reli @ esk12_0 @ (esk13_3 @ X3 @ X12 @ X13)))|~((reli @ esk12_0 @ X3))|~((reli @ X13 @ X1))|~((reli @ X12 @ X13))|~((relr @ X3 @ X12)))), inference(spm,[status(thm)],[c_0_62, c_0_70])). 0.83/0.74 thf(c_0_72, negated_conjecture, ![X1:$i, X3:$i, X12:$i]:(((epred1_0 @ X1)|~((reli @ esk12_0 @ X3))|~((reli @ esk12_0 @ X1))|~((reli @ X12 @ esk12_0))|~((relr @ X3 @ X12)))), inference(spm,[status(thm)],[c_0_71, c_0_50])). 0.83/0.74 thf(c_0_73, negated_conjecture, ![X1:$i, X3:$i]:((~((reli @ esk12_0 @ X1))|~((reli @ X3 @ esk12_0))|~((relr @ X1 @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_45]), c_0_46])). 0.83/0.74 thf(c_0_74, negated_conjecture, ![X1:$i]:((~((reli @ esk12_0 @ X1))|~((reli @ X1 @ esk12_0)))), inference(spm,[status(thm)],[c_0_73, c_0_55])). 0.83/0.74 thf(c_0_75, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_59]), c_0_59])]), ['proof']). 0.83/0.74 % SZS output end CNFRefutation 0.83/0.74 % Parsed axioms : 84 0.83/0.74 % Removed by relevancy pruning/SinE : 0 0.83/0.74 % Initial clauses : 64 0.83/0.74 % Removed in clause preprocessing : 43 0.83/0.74 % Initial clauses in saturation : 21 0.83/0.74 % Processed clauses : 661 0.83/0.74 % ...of these trivial : 8 0.83/0.74 % ...subsumed : 193 0.83/0.74 % ...remaining for further processing : 460 0.83/0.74 % Other redundant clauses eliminated : 4 0.83/0.74 % Clauses deleted for lack of memory : 0 0.83/0.74 % Backward-subsumed : 25 0.83/0.74 % Backward-rewritten : 31 0.83/0.74 % Generated clauses : 4230 0.83/0.74 % ...of the previous two non-redundant : 3643 0.83/0.74 % ...aggressively subsumed : 0 0.83/0.74 % Contextual simplify-reflections : 0 0.83/0.74 % Paramodulations : 4221 0.83/0.74 % Factorizations : 0 0.83/0.74 % NegExts : 0 0.83/0.74 % Equation resolutions : 4 0.83/0.74 % Disequality decompositions : 0 0.83/0.74 % Total rewrite steps : 663 0.83/0.74 % ...of those cached : 622 0.83/0.74 % Propositional unsat checks : 0 0.83/0.74 % Propositional check models : 0 0.83/0.74 % Propositional check unsatisfiable : 0 0.83/0.74 % Propositional clauses : 0 0.83/0.74 % Propositional clauses after purity: 0 0.83/0.74 % Propositional unsat core size : 0 0.83/0.74 % Propositional preprocessing time : 0.000 0.83/0.74 % Propositional encoding time : 0.000 0.83/0.74 % Propositional solver time : 0.000 0.83/0.74 % Success case prop preproc time : 0.000 0.83/0.74 % Success case prop encoding time : 0.000 0.83/0.74 % Success case prop solver time : 0.000 0.83/0.74 % Current number of processed clauses : 383 0.83/0.74 % Positive orientable unit clauses : 44 0.83/0.74 % Positive unorientable unit clauses: 0 0.83/0.74 % Negative unit clauses : 2 0.83/0.74 % Non-unit-clauses : 337 0.83/0.74 % Current number of unprocessed clauses: 2917 0.83/0.74 % ...number of literals in the above : 10975 0.83/0.74 % Current number of archived formulas : 0 0.83/0.74 % Current number of archived clauses : 77 0.83/0.74 % Clause-clause subsumption calls (NU) : 17815 0.83/0.74 % Rec. Clause-clause subsumption calls : 11334 0.83/0.74 % Non-unit clause-clause subsumptions : 216 0.83/0.74 % Unit Clause-clause subsumption calls : 204 0.83/0.74 % Rewrite failures with RHS unbound : 0 0.83/0.74 % BW rewrite match attempts : 42 0.83/0.74 % BW rewrite match successes : 13 0.83/0.74 % Condensation attempts : 661 0.83/0.74 % Condensation successes : 0 0.83/0.74 % Termbank termtop insertions : 241754 0.83/0.74 % Search garbage collected termcells : 1654 0.83/0.74 0.83/0.74 % ------------------------------------------------- 0.83/0.74 % User time : 0.163 s 0.83/0.74 % System time : 0.013 s 0.83/0.74 % Total time : 0.177 s 0.83/0.74 % Maximum resident set size: 3952 pages 0.83/0.74 0.83/0.74 % ------------------------------------------------- 0.83/0.74 % User time : 0.808 s 0.83/0.74 % System time : 0.050 s 0.83/0.74 % Total time : 0.858 s 0.83/0.74 % Maximum resident set size: 4864 pages 0.83/0.74 % E exiting 0.83/0.74 EOF