0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.10/0.31 % Computer : n026.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 1920 0.10/0.31 % WCLimit : 240 0.10/0.31 % DateTime : Wed Jul 30 08:22:04 EDT 2025 0.10/0.31 % CPUTime : 0.17/0.44 Running higher-order theorem proving 0.17/0.45 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=240 /export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p 0.17/0.49 # Version: 3.0.0-ho 0.17/0.49 # Preprocessing class: HSMSSMSSMLSNHSN. 0.17/0.49 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.49 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.17/0.49 # Starting post_as_ho3 with 240s (1) cores 0.17/0.49 # Starting post_as_ho11 with 240s (1) cores 0.17/0.49 # Starting full_lambda_8 with 240s (1) cores 0.17/0.49 # new_ho_10_cnf2 with pid 18327 completed with status 0 0.17/0.49 # Result found by new_ho_10_cnf2 0.17/0.49 # Preprocessing class: HSMSSMSSMLSNHSN. 0.17/0.49 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.49 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.17/0.49 # No SInE strategy applied 0.17/0.49 # Search class: HGUNF-FFMS32-SHSSMSBN 0.17/0.49 # Scheduled 5 strats onto 5 cores with 1200 seconds (1200 total) 0.17/0.49 # Starting new_ho_10_cnf2 with 721s (1) cores 0.17/0.49 # Starting sh5l with 121s (1) cores 0.17/0.49 # Starting lpo1_def_fix with 121s (1) cores 0.17/0.49 # Starting lpo1_lambda_fix with 121s (1) cores 0.17/0.49 # Starting full_lambda_2 with 116s (1) cores 0.17/0.49 # lpo1_def_fix with pid 18336 completed with status 0 0.17/0.49 # Result found by lpo1_def_fix 0.17/0.49 # Preprocessing class: HSMSSMSSMLSNHSN. 0.17/0.49 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.49 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.17/0.49 # No SInE strategy applied 0.17/0.49 # Search class: HGUNF-FFMS32-SHSSMSBN 0.17/0.49 # Scheduled 5 strats onto 5 cores with 1200 seconds (1200 total) 0.17/0.49 # Starting new_ho_10_cnf2 with 721s (1) cores 0.17/0.49 # Starting sh5l with 121s (1) cores 0.17/0.49 # Starting lpo1_def_fix with 121s (1) cores 0.17/0.49 # Preprocessing time : 0.005 s 0.17/0.49 # Presaturation interreduction done 0.17/0.49 0.17/0.49 # Proof found! 0.17/0.49 # SZS status Theorem 0.17/0.49 # SZS output start CNFRefutation 0.17/0.49 thf(decl_sort1, type, individuals: $tType). 0.17/0.49 thf(decl_29, type, mnot: ($i > $o) > $i > $o). 0.17/0.49 thf(decl_30, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.49 thf(decl_32, type, mimpl: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.49 thf(decl_34, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.17/0.49 thf(decl_38, type, mvalid: ($i > $o) > $o). 0.17/0.49 thf(decl_42, type, reli: $i > $i > $o). 0.17/0.49 thf(decl_43, type, relr: $i > $i > $o). 0.17/0.49 thf(decl_44, type, cs4_atom: ($i > $o) > $i > $o). 0.17/0.49 thf(decl_47, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.49 thf(decl_51, type, cs4_box: ($i > $o) > $i > $o). 0.17/0.49 thf(decl_53, type, princ_inj: individuals > $i > $o). 0.17/0.49 thf(decl_54, type, bl_atom: ($i > $o) > $i > $o). 0.17/0.49 thf(decl_55, type, bl_princ: ($i > $o) > $i > $o). 0.17/0.49 thf(decl_58, type, bl_impl: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.49 thf(decl_62, type, bl_says: individuals > ($i > $o) > $i > $o). 0.17/0.49 thf(decl_63, type, bl_valid: ($i > $o) > $o). 0.17/0.49 thf(decl_69, type, esk5_2: ($i > $o) > $i > $i). 0.17/0.49 thf(decl_70, type, esk6_2: ($i > $o) > $i > $i). 0.17/0.49 thf(decl_71, type, esk7_0: individuals). 0.17/0.49 thf(decl_72, type, epred1_0: $i > $o). 0.17/0.49 thf(decl_73, type, esk8_0: $i). 0.17/0.49 thf(decl_74, type, esk9_0: $i). 0.17/0.49 thf(decl_75, type, esk10_3: $i > $i > $i > $i). 0.17/0.49 thf(decl_76, type, esk11_6: $i > $i > $i > $i > $i > $i > $i). 0.17/0.49 thf(decl_77, type, esk12_0: $i). 0.17/0.49 thf(decl_78, type, esk13_0: $i). 0.17/0.49 thf(decl_79, type, esk14_0: $i). 0.17/0.49 thf(decl_80, type, esk15_0: $i). 0.17/0.49 thf(mimpl, axiom, ((mimpl)=(^[X7:$i > $o, X8:$i > $o]:(mor @ (mnot @ X7) @ X8))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', mimpl)). 0.17/0.49 thf(mnot, axiom, ((mnot)=(^[X2:$i > $o, X3:$i]:(~((X2 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', mnot)). 0.17/0.49 thf(mor, axiom, ((mor)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(((X4 @ X3)|(X5 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', mor)). 0.17/0.49 thf(cs4_atom, axiom, ((cs4_atom)=(^[X11:$i > $o]:(mbox @ reli @ X11))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', cs4_atom)). 0.17/0.49 thf(mbox, axiom, ((mbox)=(^[X10:$i > $i > $o, X11:$i > $o, X1:$i]:(![X12:$i]:(((X10 @ X1 @ X12)=>(X11 @ X12)))))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', mbox)). 0.17/0.49 thf(cs4_impl, axiom, ((cs4_impl)=(^[X19:$i > $o, X20:$i > $o]:(mbox @ reli @ (mimpl @ X19 @ X20)))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', cs4_impl)). 0.17/0.49 thf(cs4_box, axiom, ((cs4_box)=(^[X19:$i > $o]:(mbox @ reli @ (mbox @ relr @ X19)))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', cs4_box)). 0.17/0.49 thf(bl_princ, axiom, ((bl_princ)=(^[X11:$i > $o]:(cs4_atom @ X11))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', bl_princ)). 0.17/0.49 thf(bl_atom, axiom, ((bl_atom)=(^[X11:$i > $o]:(cs4_atom @ X11))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', bl_atom)). 0.17/0.49 thf(bl_impl, axiom, ((bl_impl)=(^[X19:$i > $o, X20:$i > $o]:(cs4_impl @ X19 @ X20))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', bl_impl)). 0.17/0.49 thf(bl_says, axiom, ((bl_says)=(^[X23:individuals, X19:$i > $o]:(cs4_box @ (cs4_impl @ (bl_princ @ (princ_inj @ X23)) @ X19)))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', bl_says)). 0.17/0.49 thf(mvalid, axiom, ((mvalid)=(^[X11:$i > $o]:(![X15:$i]:((X11 @ X15))))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', mvalid)). 0.17/0.49 thf(bl_valid_def, axiom, ((bl_valid)=(^[Z0/* 6 */:$i > $o]:(![X47:$i]:((Z0 @ X47))))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', bl_valid_def)). 0.17/0.49 thf(bl_c4, conjecture, ![X23:individuals, X19:$i > $o]:((bl_valid @ (bl_impl @ (bl_says @ X23 @ (bl_says @ X23 @ (bl_atom @ X19))) @ (bl_says @ X23 @ (bl_atom @ X19))))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', bl_c4)). 0.17/0.49 thf(refl_axiom_i, axiom, ![X19:$i > $o]:((mvalid @ (mimpl @ (mbox @ reli @ X19) @ X19))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', refl_axiom_i)). 0.17/0.49 thf(refl_axiom_r, axiom, ![X19:$i > $o]:((mvalid @ (mimpl @ (mbox @ relr @ X19) @ X19))), file('/export/starexec/sandbox/tmp/tmp.92nW86z9hh/E---3.1_18247.p', refl_axiom_r)). 0.17/0.49 thf(c_0_16, plain, ((mimpl)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimpl])). 0.17/0.49 thf(c_0_17, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.17/0.49 thf(c_0_18, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.17/0.49 thf(c_0_19, plain, ((cs4_atom)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(![X31:$i]:(((reli @ Z1 @ X31)=>(Z0 @ X31)))))), inference(fof_simplification,[status(thm)],[cs4_atom])). 0.17/0.49 thf(c_0_20, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X12:$i]:(((Z0 @ Z2 @ X12)=>(Z1 @ X12)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.17/0.49 thf(c_0_21, plain, ((cs4_impl)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(![X32:$i]:(((reli @ Z2 @ X32)=>(((~((Z0 @ X32)))|(Z1 @ X32)))))))), inference(fof_simplification,[status(thm)],[cs4_impl])). 0.17/0.49 thf(c_0_22, plain, ((mimpl)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_16, c_0_17]), c_0_18])). 0.17/0.49 thf(c_0_23, plain, ((cs4_box)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(![X36:$i]:(((reli @ Z1 @ X36)=>(![X35:$i]:(((relr @ X36 @ X35)=>(Z0 @ X35))))))))), inference(fof_simplification,[status(thm)],[cs4_box])). 0.17/0.49 thf(c_0_24, plain, ((bl_princ)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(![X39:$i]:(((reli @ Z1 @ X39)=>(Z0 @ X39)))))), inference(fof_simplification,[status(thm)],[bl_princ])). 0.17/0.49 thf(c_0_25, plain, ((cs4_atom)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(![X31:$i]:(((reli @ Z1 @ X31)=>(Z0 @ X31)))))), inference(apply_def,[status(thm)],[c_0_19, c_0_20])). 0.17/0.49 thf(c_0_26, plain, ((bl_atom)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(![X38:$i]:(((reli @ Z1 @ X38)=>(Z0 @ X38)))))), inference(fof_simplification,[status(thm)],[bl_atom])). 0.17/0.49 thf(c_0_27, plain, ((bl_impl)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(![X40:$i]:(((reli @ Z2 @ X40)=>(((~((Z0 @ X40)))|(Z1 @ X40)))))))), inference(fof_simplification,[status(thm)],[bl_impl])). 0.17/0.49 thf(c_0_28, plain, ((cs4_impl)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(![X32:$i]:(((reli @ Z2 @ X32)=>(((~((Z0 @ X32)))|(Z1 @ X32)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21, c_0_22]), c_0_20])). 0.17/0.49 thf(c_0_29, plain, ((bl_says)=(^[Z0/* 19 */:individuals, Z1:$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])). 0.17/0.49 thf(c_0_30, plain, ((cs4_box)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(![X36:$i]:(((reli @ Z1 @ X36)=>(![X35:$i]:(((relr @ X36 @ X35)=>(Z0 @ X35))))))))), inference(apply_def,[status(thm)],[c_0_23, c_0_20])). 0.17/0.49 thf(c_0_31, plain, ((bl_princ)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(![X39:$i]:(((reli @ Z1 @ X39)=>(Z0 @ X39)))))), inference(apply_def,[status(thm)],[c_0_24, c_0_25])). 0.17/0.49 thf(c_0_32, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X15:$i]:((Z0 @ X15))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.17/0.49 thf(c_0_33, plain, ((bl_atom)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(![X38:$i]:(((reli @ Z1 @ X38)=>(Z0 @ X38)))))), inference(apply_def,[status(thm)],[c_0_26, c_0_25])). 0.17/0.49 thf(c_0_34, plain, ((bl_impl)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(![X40:$i]:(((reli @ Z2 @ X40)=>(((~((Z0 @ X40)))|(Z1 @ X40)))))))), inference(apply_def,[status(thm)],[c_0_27, c_0_28])). 0.17/0.49 thf(c_0_35, plain, ((bl_says)=(^[Z0/* 19 */:individuals, Z1:$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_29, c_0_28]), c_0_30]), c_0_31])). 0.17/0.49 thf(c_0_36, axiom, ((bl_valid)=(^[Z0/* 6 */:$i > $o]:(![X47:$i]:((Z0 @ X47))))), inference(apply_def,[status(thm)],[bl_valid_def, c_0_32])). 0.17/0.49 thf(c_0_37, negated_conjecture, ~(![X23:individuals, X19:$i > $o, X84:$i, X83:$i]:(((reli @ X84 @ X83)=>(~(![X74:$i]:(((reli @ X83 @ X74)=>![X75:$i]:(((relr @ X74 @ X75)=>![X76:$i]:(((reli @ X75 @ X76)=>(~(![X77:$i]:(((reli @ X76 @ X77)=>(princ_inj @ X23 @ X77))))|![X70:$i]:(((reli @ X76 @ 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))))))))))))))))))|![X79:$i]:(((reli @ X83 @ X79)=>![X80:$i]:(((relr @ X79 @ X80)=>![X81:$i]:(((reli @ X80 @ X81)=>(~(![X82:$i]:(((reli @ X81 @ X82)=>(princ_inj @ X23 @ X82))))|![X78:$i]:(((reli @ X81 @ X78)=>(X19 @ X78)))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[bl_c4]), c_0_33]), c_0_34]), c_0_35]), c_0_36])). 0.17/0.49 thf(c_0_38, negated_conjecture, ![X115:$i, X116:$i, X117:$i, X119:$i, X120:$i, X121:$i, X123:$i, X127:$i]:(((reli @ esk8_0 @ esk9_0)&(((((reli @ X121 @ (esk11_6 @ X115 @ X116 @ X117 @ X119 @ X120 @ X121))|(~(reli @ X121 @ X123)|(epred1_0 @ X123))|~(reli @ X120 @ X121)|~(relr @ X119 @ X120)|~(reli @ X117 @ X119)|(reli @ X117 @ (esk10_3 @ X115 @ X116 @ X117))|~(reli @ X116 @ X117)|~(relr @ X115 @ X116)|~(reli @ esk9_0 @ X115))&(~(princ_inj @ esk7_0 @ (esk11_6 @ X115 @ X116 @ X117 @ X119 @ X120 @ X121))|(~(reli @ X121 @ X123)|(epred1_0 @ X123))|~(reli @ X120 @ X121)|~(relr @ X119 @ X120)|~(reli @ X117 @ X119)|(reli @ X117 @ (esk10_3 @ X115 @ X116 @ X117))|~(reli @ X116 @ X117)|~(relr @ X115 @ X116)|~(reli @ esk9_0 @ X115)))&(((reli @ X121 @ (esk11_6 @ X115 @ X116 @ X117 @ X119 @ X120 @ X121))|(~(reli @ X121 @ X123)|(epred1_0 @ X123))|~(reli @ X120 @ X121)|~(relr @ X119 @ X120)|~(reli @ X117 @ X119)|~(princ_inj @ esk7_0 @ (esk10_3 @ X115 @ X116 @ X117))|~(reli @ X116 @ X117)|~(relr @ X115 @ X116)|~(reli @ esk9_0 @ X115))&(~(princ_inj @ esk7_0 @ (esk11_6 @ X115 @ X116 @ X117 @ X119 @ X120 @ X121))|(~(reli @ X121 @ X123)|(epred1_0 @ X123))|~(reli @ X120 @ X121)|~(relr @ X119 @ X120)|~(reli @ X117 @ X119)|~(princ_inj @ esk7_0 @ (esk10_3 @ X115 @ X116 @ X117))|~(reli @ X116 @ X117)|~(relr @ X115 @ X116)|~(reli @ esk9_0 @ X115))))&((reli @ esk9_0 @ esk12_0)&((relr @ esk12_0 @ esk13_0)&((reli @ esk13_0 @ esk14_0)&((~(reli @ esk14_0 @ X127)|(princ_inj @ esk7_0 @ X127))&((reli @ esk14_0 @ esk15_0)&~(epred1_0 @ esk15_0))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])])])). 0.17/0.49 thf(c_0_39, negated_conjecture, ![X1:$i, X15:$i, X32:$i, X31:$i, X13:$i, X12:$i, X3:$i]:(((reli @ X1 @ (esk11_6 @ X3 @ X12 @ X13 @ X15 @ X31 @ X1))|(epred1_0 @ X32)|(reli @ X13 @ (esk10_3 @ X3 @ X12 @ X13))|~((reli @ X1 @ X32))|~((reli @ X31 @ X1))|~((relr @ X15 @ X31))|~((reli @ X13 @ X15))|~((reli @ X12 @ X13))|~((relr @ X3 @ X12))|~((reli @ esk9_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.17/0.49 thf(c_0_40, negated_conjecture, (reli @ esk14_0 @ esk15_0), inference(split_conjunct,[status(thm)],[c_0_38])). 0.17/0.49 thf(c_0_41, negated_conjecture, ~((epred1_0 @ esk15_0)), inference(split_conjunct,[status(thm)],[c_0_38])). 0.17/0.49 thf(c_0_42, negated_conjecture, ![X1:$i]:(((princ_inj @ esk7_0 @ X1)|~((reli @ esk14_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.17/0.49 thf(c_0_43, negated_conjecture, ![X1:$i, X13:$i, X12:$i, X15:$i, X3:$i]:(((reli @ esk14_0 @ (esk11_6 @ X1 @ X3 @ X12 @ X13 @ X15 @ esk14_0))|(reli @ X12 @ (esk10_3 @ X1 @ X3 @ X12))|~((reli @ esk9_0 @ X1))|~((reli @ X15 @ esk14_0))|~((reli @ X12 @ X13))|~((reli @ X3 @ X12))|~((relr @ X13 @ X15))|~((relr @ X1 @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])). 0.17/0.49 thf(c_0_44, plain, ![X19:$i > $o, X64:$i]:((~(![X63:$i]:(((reli @ X64 @ X63)=>(X19 @ X63))))|(X19 @ X64))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[refl_axiom_i, c_0_22]), c_0_20]), c_0_32])). 0.17/0.49 thf(c_0_45, negated_conjecture, ![X15:$i, X32:$i, X31:$i, X13:$i, X12:$i, X3:$i, X1:$i]:(((epred1_0 @ X32)|(reli @ X12 @ (esk10_3 @ X1 @ X3 @ X12))|~((princ_inj @ esk7_0 @ (esk11_6 @ X1 @ X3 @ X12 @ X13 @ X15 @ X31)))|~((reli @ X31 @ X32))|~((reli @ X15 @ X31))|~((relr @ X13 @ X15))|~((reli @ X12 @ X13))|~((reli @ X3 @ X12))|~((relr @ X1 @ X3))|~((reli @ esk9_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.17/0.49 thf(c_0_46, negated_conjecture, ![X1:$i, X13:$i, X12:$i, X15:$i, X3:$i]:(((princ_inj @ esk7_0 @ (esk11_6 @ X1 @ X3 @ X12 @ X13 @ X15 @ esk14_0))|(reli @ X12 @ (esk10_3 @ X1 @ X3 @ X12))|~((reli @ esk9_0 @ X1))|~((reli @ X15 @ esk14_0))|~((reli @ X12 @ X13))|~((reli @ X3 @ X12))|~((relr @ X13 @ X15))|~((relr @ X1 @ X3)))), inference(spm,[status(thm)],[c_0_42, c_0_43])). 0.17/0.49 thf(c_0_47, plain, ![X104:$i > $o, X105:$i]:((((reli @ X105 @ (esk6_2 @ X104 @ X105))|(X104 @ X105))&(~(X104 @ (esk6_2 @ X104 @ X105))|(X104 @ X105)))), 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_44])])])])])). 0.17/0.49 thf(c_0_48, plain, ![X19:$i > $o, X62:$i]:((~(![X61:$i]:(((relr @ X62 @ X61)=>(X19 @ X61))))|(X19 @ X62))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[refl_axiom_r, c_0_22]), c_0_20]), c_0_32])). 0.17/0.49 thf(c_0_49, negated_conjecture, ![X1:$i, X3:$i, X15:$i, X13:$i, X31:$i, X12:$i]:(((reli @ X1 @ (esk10_3 @ X3 @ X12 @ X1))|(epred1_0 @ X13)|~((reli @ esk9_0 @ X3))|~((reli @ esk14_0 @ X13))|~((reli @ X15 @ esk14_0))|~((reli @ X1 @ X31))|~((reli @ X12 @ X1))|~((relr @ X31 @ X15))|~((relr @ X3 @ X12)))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 0.17/0.49 thf(c_0_50, plain, ![X2:$i > $o, X1:$i]:(((X2 @ X1)|~((X2 @ (esk6_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_47])). 0.17/0.49 thf(c_0_51, plain, ![X2:$i > $o, X1:$i]:(((reli @ X1 @ (esk6_2 @ X2 @ X1))|(X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_47])). 0.17/0.49 thf(c_0_52, plain, ![X101:$i > $o, X102:$i]:((((relr @ X102 @ (esk5_2 @ X101 @ X102))|(X101 @ X102))&(~(X101 @ (esk5_2 @ X101 @ X102))|(X101 @ X102)))), 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])])])])])). 0.17/0.49 thf(c_0_53, negated_conjecture, ![X1:$i, X15:$i, X3:$i, X13:$i, X12:$i]:(((reli @ X1 @ (esk10_3 @ X3 @ X12 @ X1))|~((reli @ esk9_0 @ X3))|~((reli @ X13 @ esk14_0))|~((reli @ X1 @ X15))|~((reli @ X12 @ X1))|~((relr @ X15 @ X13))|~((relr @ X3 @ X12)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_40]), c_0_41])). 0.17/0.49 thf(c_0_54, plain, ![X1:$i]:((reli @ X1 @ X1)), inference(spm,[status(thm)],[c_0_50, c_0_51])). 0.17/0.49 thf(c_0_55, plain, ![X2:$i > $o, X1:$i]:(((X2 @ X1)|~((X2 @ (esk5_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_52])). 0.17/0.49 thf(c_0_56, plain, ![X2:$i > $o, X1:$i]:(((relr @ X1 @ (esk5_2 @ X2 @ X1))|(X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_52])). 0.17/0.49 thf(c_0_57, negated_conjecture, ![X1:$i, X15:$i, X32:$i, X31:$i, X13:$i, X12:$i, X3:$i]:(((reli @ X1 @ (esk11_6 @ X3 @ X12 @ X13 @ X15 @ X31 @ X1))|(epred1_0 @ X32)|~((reli @ X1 @ X32))|~((reli @ X31 @ X1))|~((relr @ X15 @ X31))|~((reli @ X13 @ X15))|~((princ_inj @ esk7_0 @ (esk10_3 @ X3 @ X12 @ X13)))|~((reli @ X12 @ X13))|~((relr @ X3 @ X12))|~((reli @ esk9_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.17/0.49 thf(c_0_58, negated_conjecture, ![X1:$i, X3:$i, X13:$i, X12:$i]:(((reli @ X1 @ (esk10_3 @ X3 @ X12 @ X1))|~((reli @ esk9_0 @ X3))|~((relr @ X13 @ esk14_0))|~((reli @ X1 @ X13))|~((reli @ X12 @ X1))|~((relr @ X3 @ X12)))), inference(spm,[status(thm)],[c_0_53, c_0_54])). 0.17/0.49 thf(c_0_59, plain, ![X1:$i]:((relr @ X1 @ X1)), inference(spm,[status(thm)],[c_0_55, c_0_56])). 0.17/0.49 thf(c_0_60, negated_conjecture, ![X1:$i, X13:$i, X12:$i, X15:$i, X3:$i]:(((reli @ esk14_0 @ (esk11_6 @ X1 @ X3 @ X12 @ X13 @ X15 @ esk14_0))|~((princ_inj @ esk7_0 @ (esk10_3 @ X1 @ X3 @ X12)))|~((reli @ esk9_0 @ X1))|~((reli @ X15 @ esk14_0))|~((reli @ X12 @ X13))|~((reli @ X3 @ X12))|~((relr @ X13 @ X15))|~((relr @ X1 @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_40]), c_0_41])). 0.17/0.49 thf(c_0_61, negated_conjecture, ![X1:$i, X3:$i, X12:$i]:(((reli @ X1 @ (esk10_3 @ X3 @ X12 @ X1))|~((reli @ esk9_0 @ X3))|~((reli @ X1 @ esk14_0))|~((reli @ X12 @ X1))|~((relr @ X3 @ X12)))), inference(spm,[status(thm)],[c_0_58, c_0_59])). 0.17/0.49 thf(c_0_62, negated_conjecture, ![X15:$i, X32:$i, X31:$i, X13:$i, X12:$i, X3:$i, X1:$i]:(((epred1_0 @ X32)|~((princ_inj @ esk7_0 @ (esk11_6 @ X1 @ X3 @ X12 @ X13 @ X15 @ X31)))|~((reli @ X31 @ X32))|~((reli @ X15 @ X31))|~((relr @ X13 @ X15))|~((reli @ X12 @ X13))|~((princ_inj @ esk7_0 @ (esk10_3 @ X1 @ X3 @ X12)))|~((reli @ X3 @ X12))|~((relr @ X1 @ X3))|~((reli @ esk9_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.17/0.49 thf(c_0_63, negated_conjecture, ![X1:$i, X13:$i, X12:$i, X15:$i, X3:$i]:(((princ_inj @ esk7_0 @ (esk11_6 @ X1 @ X3 @ X12 @ X13 @ X15 @ esk14_0))|~((princ_inj @ esk7_0 @ (esk10_3 @ X1 @ X3 @ X12)))|~((reli @ esk9_0 @ X1))|~((reli @ X15 @ esk14_0))|~((reli @ X12 @ X13))|~((reli @ X3 @ X12))|~((relr @ X13 @ X15))|~((relr @ X1 @ X3)))), inference(spm,[status(thm)],[c_0_42, c_0_60])). 0.17/0.49 thf(c_0_64, negated_conjecture, ![X1:$i, X3:$i]:(((reli @ esk14_0 @ (esk10_3 @ X1 @ X3 @ esk14_0))|~((reli @ esk9_0 @ X1))|~((reli @ X3 @ esk14_0))|~((relr @ X1 @ X3)))), inference(spm,[status(thm)],[c_0_61, c_0_54])). 0.17/0.49 thf(c_0_65, negated_conjecture, ![X1:$i, X3:$i, X15:$i, X31:$i, X13:$i, X12:$i]:(((epred1_0 @ X1)|~((princ_inj @ esk7_0 @ (esk10_3 @ X3 @ X12 @ X13)))|~((reli @ esk9_0 @ X3))|~((reli @ esk14_0 @ X1))|~((reli @ X15 @ esk14_0))|~((reli @ X13 @ X31))|~((reli @ X12 @ X13))|~((relr @ X31 @ X15))|~((relr @ X3 @ X12)))), inference(spm,[status(thm)],[c_0_62, c_0_63])). 0.17/0.49 thf(c_0_66, negated_conjecture, ![X1:$i, X3:$i]:(((princ_inj @ esk7_0 @ (esk10_3 @ X1 @ X3 @ esk14_0))|~((reli @ esk9_0 @ X1))|~((reli @ X3 @ esk14_0))|~((relr @ X1 @ X3)))), inference(spm,[status(thm)],[c_0_42, c_0_64])). 0.17/0.49 thf(c_0_67, negated_conjecture, ![X1:$i, X3:$i, X13:$i, X12:$i, X15:$i]:(((epred1_0 @ X1)|~((reli @ esk9_0 @ X3))|~((reli @ esk14_0 @ X1))|~((reli @ X12 @ esk14_0))|~((reli @ esk14_0 @ X13))|~((reli @ X15 @ esk14_0))|~((relr @ X13 @ X12))|~((relr @ X3 @ X15)))), inference(spm,[status(thm)],[c_0_65, c_0_66])). 0.17/0.49 thf(c_0_68, negated_conjecture, (reli @ esk9_0 @ esk12_0), inference(split_conjunct,[status(thm)],[c_0_38])). 0.17/0.49 thf(c_0_69, negated_conjecture, ![X1:$i, X13:$i, X12:$i, X3:$i]:(((epred1_0 @ X1)|~((reli @ esk14_0 @ X1))|~((reli @ X3 @ esk14_0))|~((reli @ esk14_0 @ X12))|~((reli @ X13 @ esk14_0))|~((relr @ esk12_0 @ X13))|~((relr @ X12 @ X3)))), inference(spm,[status(thm)],[c_0_67, c_0_68])). 0.17/0.49 thf(c_0_70, negated_conjecture, ![X12:$i, X3:$i, X1:$i]:((~((reli @ X1 @ esk14_0))|~((reli @ esk14_0 @ X3))|~((reli @ X12 @ esk14_0))|~((relr @ esk12_0 @ X12))|~((relr @ X3 @ X1)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_40]), c_0_41])). 0.17/0.49 thf(c_0_71, negated_conjecture, ![X3:$i, X1:$i]:((~((reli @ esk14_0 @ X1))|~((reli @ X3 @ esk14_0))|~((relr @ esk12_0 @ X3))|~((relr @ X1 @ esk14_0)))), inference(spm,[status(thm)],[c_0_70, c_0_54])). 0.17/0.49 thf(c_0_72, negated_conjecture, (relr @ esk12_0 @ esk13_0), inference(split_conjunct,[status(thm)],[c_0_38])). 0.17/0.49 thf(c_0_73, negated_conjecture, (reli @ esk13_0 @ esk14_0), inference(split_conjunct,[status(thm)],[c_0_38])). 0.17/0.49 thf(c_0_74, negated_conjecture, ![X1:$i]:((~((reli @ esk14_0 @ X1))|~((relr @ X1 @ esk14_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_73])])). 0.17/0.49 thf(c_0_75, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_59]), c_0_54])]), ['proof']). 0.17/0.49 # SZS output end CNFRefutation 0.17/0.49 # Parsed axioms : 84 0.17/0.49 # Removed by relevancy pruning/SinE : 0 0.17/0.49 # Initial clauses : 66 0.17/0.49 # Removed in clause preprocessing : 43 0.17/0.49 # Initial clauses in saturation : 23 0.17/0.49 # Processed clauses : 129 0.17/0.49 # ...of these trivial : 0 0.17/0.49 # ...subsumed : 5 0.17/0.49 # ...remaining for further processing : 124 0.17/0.49 # Other redundant clauses eliminated : 2 0.17/0.49 # Clauses deleted for lack of memory : 0 0.17/0.49 # Backward-subsumed : 23 0.17/0.49 # Backward-rewritten : 4 0.17/0.49 # Generated clauses : 338 0.17/0.49 # ...of the previous two non-redundant : 292 0.17/0.49 # ...aggressively subsumed : 0 0.17/0.49 # Contextual simplify-reflections : 0 0.17/0.49 # Paramodulations : 305 0.17/0.49 # Factorizations : 0 0.17/0.49 # NegExts : 0 0.17/0.49 # Equation resolutions : 2 0.17/0.49 # Disequality decompositions : 0 0.17/0.49 # Total rewrite steps : 33 0.17/0.49 # ...of those cached : 22 0.17/0.49 # Propositional unsat checks : 0 0.17/0.49 # Propositional check models : 0 0.17/0.49 # Propositional check unsatisfiable : 0 0.17/0.49 # Propositional clauses : 0 0.17/0.49 # Propositional clauses after purity: 0 0.17/0.49 # Propositional unsat core size : 0 0.17/0.49 # Propositional preprocessing time : 0.000 0.17/0.49 # Propositional encoding time : 0.000 0.17/0.49 # Propositional solver time : 0.000 0.17/0.49 # Success case prop preproc time : 0.000 0.17/0.49 # Success case prop encoding time : 0.000 0.17/0.49 # Success case prop solver time : 0.000 0.17/0.49 # Current number of processed clauses : 74 0.17/0.49 # Positive orientable unit clauses : 16 0.17/0.49 # Positive unorientable unit clauses: 0 0.17/0.49 # Negative unit clauses : 3 0.17/0.49 # Non-unit-clauses : 55 0.17/0.49 # Current number of unprocessed clauses: 202 0.17/0.49 # ...number of literals in the above : 1191 0.17/0.49 # Current number of archived formulas : 0 0.17/0.49 # Current number of archived clauses : 50 0.17/0.49 # Clause-clause subsumption calls (NU) : 2083 0.17/0.49 # Rec. Clause-clause subsumption calls : 267 0.17/0.49 # Non-unit clause-clause subsumptions : 26 0.17/0.49 # Unit Clause-clause subsumption calls : 83 0.17/0.49 # Rewrite failures with RHS unbound : 0 0.17/0.49 # BW rewrite match attempts : 16 0.17/0.49 # BW rewrite match successes : 3 0.17/0.49 # Condensation attempts : 0 0.17/0.49 # Condensation successes : 0 0.17/0.49 # Termbank termtop insertions : 18923 0.17/0.49 # Search garbage collected termcells : 1859 0.17/0.49 0.17/0.49 # ------------------------------------------------- 0.17/0.49 # User time : 0.028 s 0.17/0.49 # System time : 0.005 s 0.17/0.49 # Total time : 0.033 s 0.17/0.49 # Maximum resident set size: 2228 pages 0.17/0.49 0.17/0.49 # ------------------------------------------------- 0.17/0.49 # User time : 0.121 s 0.17/0.49 # System time : 0.026 s 0.17/0.49 # Total time : 0.148 s 0.17/0.49 # Maximum resident set size: 1788 pages 0.17/0.49 % E exiting 0.17/0.49 % E exiting 0.17/0.50 EOF