0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.10 % Command : run_E %s %d THM 0.10/0.30 % Computer : n012.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Tue Aug 9 04:38:44 EDT 2022 0.10/0.30 % CPUTime : 0.15/0.40 Running higher-order on 8 cores theorem proving 0.15/0.40 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=120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.40 # Version: 3.0pre003-ho 0.15/0.42 # Preprocessing class: HSMSSLSSMLLCHSA. 0.15/0.42 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.15/0.42 # Starting new_ho_10 with 600s (5) cores 0.15/0.42 # Starting sh5l with 120s (1) cores 0.15/0.42 # Starting new_bool_1 with 120s (1) cores 0.15/0.42 # Starting new_bool_2 with 120s (1) cores 0.15/0.42 # new_bool_1 with pid 7742 completed with status 0 0.15/0.42 # Result found by new_bool_1 0.15/0.42 # Preprocessing class: HSMSSLSSMLLCHSA. 0.15/0.42 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.15/0.42 # Starting new_ho_10 with 600s (5) cores 0.15/0.42 # Starting sh5l with 120s (1) cores 0.15/0.42 # Starting new_bool_1 with 120s (1) cores 0.15/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.15/0.42 # ...ProofStateSinE()=21/53 0.15/0.42 # Search class: HGHSF-FFMS31-SHSSMSBN 0.15/0.42 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.15/0.42 # Starting sh2 with 65s (1) cores 0.15/0.42 # sh2 with pid 7744 completed with status 0 0.15/0.42 # Result found by sh2 0.15/0.42 # Preprocessing class: HSMSSLSSMLLCHSA. 0.15/0.42 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.15/0.42 # Starting new_ho_10 with 600s (5) cores 0.15/0.42 # Starting sh5l with 120s (1) cores 0.15/0.42 # Starting new_bool_1 with 120s (1) cores 0.15/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.15/0.42 # ...ProofStateSinE()=21/53 0.15/0.42 # Search class: HGHSF-FFMS31-SHSSMSBN 0.15/0.42 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.15/0.42 # Starting sh2 with 65s (1) cores 0.15/0.42 # Preprocessing time : 0.002 s 0.15/0.42 # Presaturation interreduction done 0.15/0.42 0.15/0.42 # Proof found! 0.15/0.42 # SZS status Theorem 0.15/0.42 # SZS output start CNFRefutation 0.15/0.42 thf(decl_22, type, in: $i > $i > $o). 0.15/0.42 thf(decl_23, type, exu: ($i > $o) > $o). 0.15/0.42 thf(decl_24, type, setextAx: $o). 0.15/0.42 thf(decl_25, type, emptyset: $i). 0.15/0.42 thf(decl_26, type, emptysetAx: $o). 0.15/0.42 thf(decl_27, type, setadjoin: $i > $i > $i). 0.15/0.42 thf(decl_28, type, setadjoinAx: $o). 0.15/0.42 thf(decl_29, type, powerset: $i > $i). 0.15/0.42 thf(decl_30, type, powersetAx: $o). 0.15/0.42 thf(decl_31, type, setunion: $i > $i). 0.15/0.42 thf(decl_32, type, setunionAx: $o). 0.15/0.42 thf(decl_33, type, omega: $i). 0.15/0.42 thf(decl_34, type, omega0Ax: $o). 0.15/0.42 thf(decl_35, type, omegaSAx: $o). 0.15/0.42 thf(decl_36, type, omegaIndAx: $o). 0.15/0.42 thf(decl_37, type, replAx: $o). 0.15/0.42 thf(decl_38, type, foundationAx: $o). 0.15/0.42 thf(decl_39, type, wellorderingAx: $o). 0.15/0.42 thf(decl_40, type, descr: ($i > $o) > $i). 0.15/0.42 thf(decl_41, type, descrp: $o). 0.15/0.42 thf(decl_42, type, dsetconstr: $i > ($i > $o) > $i). 0.15/0.42 thf(decl_43, type, dsetconstrI: $o). 0.15/0.42 thf(decl_44, type, dsetconstrEL: $o). 0.15/0.42 thf(decl_45, type, dsetconstrER: $o). 0.15/0.42 thf(decl_46, type, exuE1: $o). 0.15/0.42 thf(decl_47, type, prop2set: $o > $i). 0.15/0.42 thf(decl_48, type, prop2setE: $o). 0.15/0.42 thf(decl_49, type, emptysetE: $o). 0.15/0.42 thf(decl_50, type, emptysetimpfalse: $o). 0.15/0.42 thf(decl_51, type, notinemptyset: $o). 0.15/0.42 thf(decl_52, type, epred1_0: $o). 0.15/0.42 thf(decl_53, type, esk1_2: $i > $i > $i). 0.15/0.42 thf(decl_54, type, esk2_2: $i > $i > $i). 0.15/0.42 thf(decl_55, type, esk3_1: $i > $i). 0.15/0.42 thf(decl_56, type, esk4_2: ($i > $i > $o) > $i > $i). 0.15/0.42 thf(decl_57, type, esk5_3: ($i > $i > $o) > $i > $i > $i). 0.15/0.42 thf(decl_58, type, esk6_2: ($i > $i > $o) > $i > $i). 0.15/0.42 thf(decl_59, type, esk7_3: ($i > $i > $o) > $i > $i > $i). 0.15/0.42 thf(decl_60, type, esk8_1: $i > $i). 0.15/0.42 thf(decl_61, type, esk9_2: ($i > $o) > $i > $i). 0.15/0.42 thf(decl_62, type, esk10_1: ($i > $o) > $i). 0.15/0.42 thf(decl_63, type, epred2_0: $i > $o). 0.15/0.42 thf(decl_64, type, esk11_0: $i). 0.15/0.42 thf(decl_65, type, esk12_1: $i > $i). 0.15/0.42 thf(decl_66, type, esk13_3: $i > $i > $i > $i). 0.15/0.42 thf(decl_67, type, esk14_2: $i > $i > $i). 0.15/0.42 thf(decl_68, type, esk15_2: $i > $i > $i). 0.15/0.42 thf(decl_69, type, esk16_2: $i > $i > $i). 0.15/0.42 thf(exuE1, axiom, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE1)). 0.15/0.42 thf(exu, axiom, ((exu)=(^[X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exu)). 0.15/0.42 thf(prop2set, axiom, ((prop2set)=(^[X10:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[X2:$i]:((X10)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2set)). 0.15/0.42 thf(replAx, axiom, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[X3:$i]:((X6 @ X2 @ X3))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', replAx)). 0.15/0.42 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(X1 @ X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrER)). 0.15/0.42 thf(prop2setE, axiom, ((prop2setE)<=>![X11:$o, X2:$i]:(((in @ X2 @ (prop2set @ ((X11))))=>(X11)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prop2setE)). 0.15/0.42 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrI)). 0.15/0.42 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[X3:$i]:((X1 @ X3)))))=>(in @ X2 @ X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dsetconstrEL)). 0.15/0.42 thf(exuE3e, conjecture, ((((((setunionAx)=>((omega0Ax)=>((omegaSAx)=>((omegaIndAx)=>(((foundationAx)=>((wellorderingAx)=>((((dsetconstrEL)=>((dsetconstrER)=>((exuE1)=>((((emptysetimpfalse)=>(![X1:$i > $o]:(((exu @ (^[X2:$i]:((X1 @ X2))))=>?[X2:$i]:((X1 @ X2))))<=(notinemptyset)))<=(emptysetE))<=(prop2setE)))))<=(dsetconstrI))<=(descrp))))<=(replAx))))))<=(powersetAx))<=(setadjoinAx))<=(emptysetAx))<=(setextAx)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exuE3e)). 0.15/0.42 thf(setextAx, axiom, ((setextAx)<=>![X4:$i, X5:$i]:((![X2:$i]:(((in @ X2 @ X4)<=>(in @ X2 @ X5)))=>((X4)=(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setextAx)). 0.15/0.42 thf(emptysetimpfalse, axiom, ((emptysetimpfalse)<=>![X2:$i]:(((in @ X2 @ emptyset)=>~($true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetimpfalse)). 0.15/0.42 thf(notinemptyset, axiom, ((notinemptyset)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', notinemptyset)). 0.15/0.42 thf(emptysetE, axiom, ((emptysetE)<=>![X2:$i]:(((in @ X2 @ emptyset)=>![X12:$o]:((X12))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetE)). 0.15/0.42 thf(omega0Ax, axiom, ((omega0Ax)<=>(in @ emptyset @ omega)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omega0Ax)). 0.15/0.42 thf(powersetAx, axiom, ((powersetAx)<=>![X4:$i, X5:$i]:(((in @ X5 @ (powerset @ X4))<=>![X2:$i]:(((in @ X2 @ X5)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', powersetAx)). 0.15/0.42 thf(setadjoinAx, axiom, ((setadjoinAx)<=>![X2:$i, X4:$i, X3:$i]:(((in @ X3 @ (setadjoin @ X2 @ X4))<=>(((X3)=(X2))|(in @ X3 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', setadjoinAx)). 0.15/0.42 thf(omegaSAx, axiom, ((omegaSAx)<=>![X2:$i]:(((in @ X2 @ omega)=>(in @ (setadjoin @ X2 @ X2) @ omega)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaSAx)). 0.15/0.42 thf(emptysetAx, axiom, ((emptysetAx)<=>![X2:$i]:(~((in @ X2 @ emptyset)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', emptysetAx)). 0.15/0.42 thf(omegaIndAx, axiom, ((omegaIndAx)<=>![X4:$i]:((((in @ emptyset @ X4)&![X2:$i]:((((in @ X2 @ omega)&(in @ X2 @ X4))=>(in @ (setadjoin @ X2 @ X2) @ X4))))=>![X2:$i]:(((in @ X2 @ omega)=>(in @ X2 @ X4)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', omegaIndAx)). 0.15/0.42 thf(foundationAx, axiom, ((foundationAx)<=>![X4:$i]:((?[X2:$i]:((in @ X2 @ X4))=>?[X5:$i]:(((in @ X5 @ X4)&~(?[X2:$i]:(((in @ X2 @ X5)&(in @ X2 @ X4))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', foundationAx)). 0.15/0.42 thf(wellorderingAx, axiom, ((wellorderingAx)<=>![X4:$i]:(?[X5:$i]:((((![X7:$i]:(((in @ X7 @ X5)=>![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))))&![X2:$i, X3:$i]:((((in @ X2 @ X4)&(in @ X3 @ X4))=>(![X7:$i]:(((in @ X7 @ X5)=>((in @ X2 @ X7)<=>(in @ X3 @ X7))))=>((X2)=(X3))))))&![X7:$i, X8:$i]:((((in @ X7 @ X5)&(in @ X8 @ X5))=>(![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X8)))|![X2:$i]:(((in @ X2 @ X8)=>(in @ X2 @ X7)))))))&![X7:$i]:(((![X2:$i]:(((in @ X2 @ X7)=>(in @ X2 @ X4)))&?[X2:$i]:((in @ X2 @ X7)))=>?[X8:$i, X2:$i]:(((((in @ X8 @ X5)&(in @ X2 @ X7))&~(?[X3:$i]:(((in @ X3 @ X8)&(in @ X3 @ X7)))))&![X9:$i]:(((in @ X9 @ X5)=>(![X3:$i]:(((in @ X3 @ X9)=>(in @ X3 @ X8)))|(in @ X2 @ X9)))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', wellorderingAx)). 0.15/0.42 thf(c_0_21, plain, ((exuE1)<=>![X1:$i > $o]:(((exu @ (^[Z0:$i]:((X1 @ Z0))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exuE1])). 0.15/0.42 thf(c_0_22, plain, ((exu)=(^[Z0:$i > $o]:(?[X2:$i]:(((Z0 @ X2)&![X3:$i]:(((Z0 @ X3)=>((X2)=(X3))))))))), inference(fof_simplification,[status(thm)],[exu])). 0.15/0.42 thf(c_0_23, plain, ((prop2set)=(^[Z0:$o]:(dsetconstr @ (powerset @ emptyset) @ (^[Z1:$i]:((Z0)))))), inference(fof_simplification,[status(thm)],[prop2set])). 0.15/0.42 thf(c_0_24, plain, ((replAx)<=>![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(exu @ (^[Z0:$i]:((X6 @ X2 @ Z0))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2))))))))), inference(fof_simplification,[status(thm)],[replAx])). 0.15/0.42 thf(c_0_25, plain, ((dsetconstrER)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(X1 @ X2)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 0.15/0.42 thf(c_0_26, plain, ((exuE1)=(![X1:$i > $o]:(((?[X78:$i]:((((X1 @ X78))&![X79:$i]:((((X1 @ X79))=>((X78)=(X79)))))))=>?[X2:$i]:(((X1 @ X2)&![X3:$i]:(((X1 @ X3)=>((X2)=(X3)))))))))), inference(apply_def,[status(thm)],[c_0_21, c_0_22])). 0.15/0.42 thf(c_0_27, axiom, ((prop2setE)=(![X11:$o, X2:$i]:(((in @ X2 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:(((X11))))))=>(X11))))), inference(apply_def,[status(thm)],[prop2setE, c_0_23])). 0.15/0.42 thf(c_0_28, plain, ((dsetconstrI)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ X4)=>((X1 @ X2)=>(in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 0.15/0.42 thf(c_0_29, plain, ((replAx)=(![X6:$i > $i > $o, X4:$i]:((![X2:$i]:(((in @ X2 @ X4)=>(?[X76:$i]:((((X6 @ X2 @ X76))&![X77:$i]:((((X6 @ X2 @ X77))=>((X76)=(X77)))))))))=>?[X5:$i]:(![X2:$i]:(((in @ X2 @ X5)<=>?[X3:$i]:(((in @ X3 @ X4)&(X6 @ X3 @ X2)))))))))), inference(apply_def,[status(thm)],[c_0_24, c_0_22])). 0.15/0.42 thf(c_0_30, plain, ((dsetconstrEL)<=>![X4:$i, X1:$i > $o, X2:$i]:(((in @ X2 @ (dsetconstr @ X4 @ (^[Z0:$i]:((X1 @ Z0)))))=>(in @ X2 @ X4)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 0.15/0.42 thf(c_0_31, plain, ((epred1_0)<=>![X88:$i]:(?[X89:$i]:((((![X90:$i]:(((in @ X90 @ X89)=>![X91:$i]:(((in @ X91 @ X90)=>(in @ X91 @ X88)))))&![X92:$i, X93:$i]:((((in @ X92 @ X88)&(in @ X93 @ X88))=>(![X94:$i]:(((in @ X94 @ X89)=>((in @ X92 @ X94)<=>(in @ X93 @ X94))))=>((X92)=(X93))))))&![X95:$i, X96:$i]:((((in @ X95 @ X89)&(in @ X96 @ X89))=>(![X97:$i]:(((in @ X97 @ X95)=>(in @ X97 @ X96)))|![X98:$i]:(((in @ X98 @ X96)=>(in @ X98 @ X95)))))))&![X99:$i]:(((![X100:$i]:(((in @ X100 @ X99)=>(in @ X100 @ X88)))&?[X101:$i]:((in @ X101 @ X99)))=>?[X102:$i, X103:$i]:(((((in @ X102 @ X89)&(in @ X103 @ X99))&~(?[X104:$i]:(((in @ X104 @ X102)&(in @ X104 @ X99)))))&![X105:$i]:(((in @ X105 @ X89)=>(![X106:$i]:(((in @ X106 @ X105)=>(in @ X106 @ X102)))|(in @ X103 @ X105)))))))))))), introduced(definition)). 0.15/0.42 thf(c_0_32, negated_conjecture, ~((![X144:$i, X145:$i]:((![X146:$i]:(((in @ X146 @ X144)<=>(in @ X146 @ X145)))=>((X144)=(X145))))=>(![X143:$i]:(~(in @ X143 @ emptyset))=>(![X140:$i, X141:$i, X142:$i]:(((in @ X142 @ (setadjoin @ X140 @ X141))<=>(((X142)=(X140))|(in @ X142 @ X141))))=>(![X137:$i, X138:$i]:(((in @ X138 @ (powerset @ X137))<=>![X139:$i]:(((in @ X139 @ X138)=>(in @ X139 @ X137)))))=>((setunionAx)=>((in @ emptyset @ omega)=>(![X80:$i]:(((in @ X80 @ omega)=>(in @ (setadjoin @ X80 @ X80) @ omega)))=>(![X81:$i]:((((in @ emptyset @ X81)&![X82:$i]:((((in @ X82 @ omega)&(in @ X82 @ X81))=>(in @ (setadjoin @ X82 @ X82) @ X81))))=>![X83:$i]:(((in @ X83 @ omega)=>(in @ X83 @ X81)))))=>(![X129:$i > $i > $o, X130:$i]:((![X131:$i]:(((in @ X131 @ X130)=>?[X132:$i]:(((X129 @ X131 @ X132)&![X133:$i]:(((X129 @ X131 @ X133)=>((X132)=(X133))))))))=>?[X134:$i]:(![X135:$i]:(((in @ X135 @ X134)<=>?[X136:$i]:(((in @ X136 @ X130)&(X129 @ X136 @ X135))))))))=>(![X84:$i]:((?[X85:$i]:((in @ X85 @ X84))=>?[X86:$i]:(((in @ X86 @ X84)&~(?[X87:$i]:(((in @ X87 @ X86)&(in @ X87 @ X84))))))))=>((epred1_0)=>((descrp)=>(![X126:$i, X127:$i > $o, X128:$i]:(((in @ X128 @ X126)=>((X127 @ X128)=>(in @ X128 @ (dsetconstr @ X126 @ (^[Z0:$i]:((X127 @ Z0))))))))=>(![X107:$i, X108:$i > $o, X109:$i]:(((in @ X109 @ (dsetconstr @ X107 @ (^[Z0:$i]:((X108 @ Z0)))))=>(in @ X109 @ X107)))=>(![X110:$i, X111:$i > $o, X112:$i]:(((in @ X112 @ (dsetconstr @ X110 @ (^[Z0:$i]:((X111 @ Z0)))))=>(X111 @ X112)))=>(![X113:$i > $o]:((?[X114:$i]:(((X113 @ X114)&![X115:$i]:(((X113 @ X115)=>((X114)=(X115))))))=>?[X116:$i]:(((X113 @ X116)&![X117:$i]:(((X113 @ X117)=>((X116)=(X117))))))))=>(![X124:$o, X125:$i]:(((in @ X125 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X124)))))=>(X124)))=>(![X122:$i]:(((in @ X122 @ emptyset)=>![X123:$o]:((X123))))=>(![X118:$i]:(~(in @ X118 @ emptyset))=>(![X121:$i]:(~(in @ X121 @ emptyset))=>![X1:$i > $o]:((?[X119:$i]:(((X1 @ X119)&![X120:$i]:(((X1 @ X120)=>((X119)=(X120))))))=>?[X2:$i]:((X1 @ X2))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[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(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(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(apply_def,[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)],[exuE3e])]), setextAx]), c_0_25]), c_0_26]), emptysetimpfalse]), c_0_22]), notinemptyset]), emptysetE]), c_0_27]), c_0_28]), c_0_29]), omega0Ax]), powersetAx]), setadjoinAx]), omegaSAx]), emptysetAx]), omegaIndAx]), foundationAx]), wellorderingAx]), c_0_30])]), c_0_31])). 0.15/0.42 thf(c_0_33, negated_conjecture, ![X147:$i, X148:$i, X150:$i, X151:$i, X152:$i, X153:$i, X154:$i, X155:$i, X156:$i, X157:$i, X158:$i, X160:$i, X161:$i, X163:$i, X164:$i > $i > $o, X165:$i, X167:$i, X170:$i, X172:$i, X173:$i, X174:$i, X175:$i, X177:$i, X178:$i, X179:$i > $o, X180:$i, X181:$i, X182:$i > $o, X183:$i, X184:$i, X185:$i > $o, X186:$i, X187:$i > $o, X188:$i, X191:$i, X192:$o, X193:$i, X194:$i, X195:$o, X196:$i, X197:$i, X200:$i, X201:$i]:((((~(in @ (esk1_2 @ X147 @ X148) @ X147)|~(in @ (esk1_2 @ X147 @ X148) @ X148)|((X147)=(X148)))&((in @ (esk1_2 @ X147 @ X148) @ X147)|(in @ (esk1_2 @ X147 @ X148) @ X148)|((X147)=(X148))))&(~(in @ X150 @ emptyset)&(((~(in @ X153 @ (setadjoin @ X151 @ X152))|(((X153)=(X151))|(in @ X153 @ X152)))&((((X153)!=(X151))|(in @ X153 @ (setadjoin @ X151 @ X152)))&(~(in @ X153 @ X152)|(in @ X153 @ (setadjoin @ X151 @ X152)))))&(((~(in @ X155 @ (powerset @ X154))|(~(in @ X156 @ X155)|(in @ X156 @ X154)))&(((in @ (esk2_2 @ X157 @ X158) @ X158)|(in @ X158 @ (powerset @ X157)))&(~(in @ (esk2_2 @ X157 @ X158) @ X157)|(in @ X158 @ (powerset @ X157)))))&((setunionAx)&((in @ emptyset @ omega)&((~(in @ X160 @ omega)|(in @ (setadjoin @ X160 @ X160) @ omega))&(((((in @ (esk3_1 @ X161) @ omega)|~(in @ emptyset @ X161)|(~(in @ X163 @ omega)|(in @ X163 @ X161)))&((in @ (esk3_1 @ X161) @ X161)|~(in @ emptyset @ X161)|(~(in @ X163 @ omega)|(in @ X163 @ X161))))&(~(in @ (setadjoin @ (esk3_1 @ X161) @ (esk3_1 @ X161)) @ X161)|~(in @ emptyset @ X161)|(~(in @ X163 @ omega)|(in @ X163 @ X161))))&((((((in @ (esk7_3 @ X164 @ X165 @ X170) @ X165)|~(in @ X170 @ (esk6_2 @ X164 @ X165))|(in @ (esk4_2 @ X164 @ X165) @ X165))&((X164 @ (esk7_3 @ X164 @ X165 @ X170) @ X170)|~(in @ X170 @ (esk6_2 @ X164 @ X165))|(in @ (esk4_2 @ X164 @ X165) @ X165)))&(~(in @ X173 @ X165)|~(X164 @ X173 @ X172)|(in @ X172 @ (esk6_2 @ X164 @ X165))|(in @ (esk4_2 @ X164 @ X165) @ X165)))&(((((in @ (esk7_3 @ X164 @ X165 @ X170) @ X165)|~(in @ X170 @ (esk6_2 @ X164 @ X165))|((X164 @ (esk4_2 @ X164 @ X165) @ (esk5_3 @ X164 @ X165 @ X167))|~(X164 @ (esk4_2 @ X164 @ X165) @ X167)))&((X164 @ (esk7_3 @ X164 @ X165 @ X170) @ X170)|~(in @ X170 @ (esk6_2 @ X164 @ X165))|((X164 @ (esk4_2 @ X164 @ X165) @ (esk5_3 @ X164 @ X165 @ X167))|~(X164 @ (esk4_2 @ X164 @ X165) @ X167))))&(~(in @ X173 @ X165)|~(X164 @ X173 @ X172)|(in @ X172 @ (esk6_2 @ X164 @ X165))|((X164 @ (esk4_2 @ X164 @ X165) @ (esk5_3 @ X164 @ X165 @ X167))|~(X164 @ (esk4_2 @ X164 @ X165) @ X167))))&((((in @ (esk7_3 @ X164 @ X165 @ X170) @ X165)|~(in @ X170 @ (esk6_2 @ X164 @ X165))|(((X167)!=(esk5_3 @ X164 @ X165 @ X167))|~(X164 @ (esk4_2 @ X164 @ X165) @ X167)))&((X164 @ (esk7_3 @ X164 @ X165 @ X170) @ X170)|~(in @ X170 @ (esk6_2 @ X164 @ X165))|(((X167)!=(esk5_3 @ X164 @ X165 @ X167))|~(X164 @ (esk4_2 @ X164 @ X165) @ X167))))&(~(in @ X173 @ X165)|~(X164 @ X173 @ X172)|(in @ X172 @ (esk6_2 @ X164 @ X165))|(((X167)!=(esk5_3 @ X164 @ X165 @ X167))|~(X164 @ (esk4_2 @ X164 @ X165) @ X167))))))&((((in @ (esk8_1 @ X174) @ X174)|~(in @ X175 @ X174))&(~(in @ X177 @ (esk8_1 @ X174))|~(in @ X177 @ X174)|~(in @ X175 @ X174)))&((epred1_0)&((descrp)&((~(in @ X180 @ X178)|(~(X179 @ X180)|(in @ X180 @ (dsetconstr @ X178 @ (^[Z0:$i]:((X179 @ Z0)))))))&((~(in @ X183 @ (dsetconstr @ X181 @ (^[Z0:$i]:((X182 @ Z0)))))|(in @ X183 @ X181))&((~(in @ X186 @ (dsetconstr @ X184 @ (^[Z0:$i]:((X185 @ Z0)))))|(X185 @ X186))&(((((X187 @ (esk10_1 @ X187))|((X187 @ (esk9_2 @ X187 @ X188))|~(X187 @ X188)))&(~(X187 @ X191)|((esk10_1 @ X187)=(X191))|((X187 @ (esk9_2 @ X187 @ X188))|~(X187 @ X188))))&(((X187 @ (esk10_1 @ X187))|(((X188)!=(esk9_2 @ X187 @ X188))|~(X187 @ X188)))&(~(X187 @ X191)|((esk10_1 @ X187)=(X191))|(((X188)!=(esk9_2 @ X187 @ X188))|~(X187 @ X188)))))&((~(in @ X193 @ (dsetconstr @ (powerset @ emptyset) @ (^[Z0:$i]:((X192)))))|(X192))&((~(in @ X194 @ emptyset)|(X195))&(~(in @ X196 @ emptyset)&(~(in @ X197 @ emptyset)&(((epred2_0 @ esk11_0)&(~(epred2_0 @ X200)|((esk11_0)=(X200))))&~(epred2_0 @ X201))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])])])). 0.15/0.42 thf(c_0_34, negated_conjecture, (epred2_0 @ esk11_0), inference(split_conjunct,[status(thm)],[c_0_33])). 0.15/0.42 thf(c_0_35, negated_conjecture, ![X2:$i]:(~((epred2_0 @ X2))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.15/0.42 thf(c_0_36, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_34, c_0_35]), ['proof']). 0.15/0.42 # SZS output end CNFRefutation 0.15/0.42 # Parsed axioms : 53 0.15/0.42 # Removed by relevancy pruning/SinE : 32 0.15/0.42 # Initial clauses : 55 0.15/0.42 # Removed in clause preprocessing : 0 0.15/0.42 # Initial clauses in saturation : 55 0.15/0.42 # Processed clauses : 6 0.15/0.42 # ...of these trivial : 0 0.15/0.42 # ...subsumed : 0 0.15/0.42 # ...remaining for further processing : 6 0.15/0.42 # Other redundant clauses eliminated : 0 0.15/0.42 # Clauses deleted for lack of memory : 0 0.15/0.42 # Backward-subsumed : 0 0.15/0.42 # Backward-rewritten : 0 0.15/0.42 # Generated clauses : 1 0.15/0.42 # ...of the previous two non-redundant : 0 0.15/0.42 # ...aggressively subsumed : 0 0.15/0.42 # Contextual simplify-reflections : 0 0.15/0.42 # Paramodulations : 0 0.15/0.42 # Factorizations : 0 0.15/0.42 # NegExts : 0 0.15/0.42 # Equation resolutions : 0 0.15/0.42 # Propositional unsat checks : 0 0.15/0.42 # Propositional check models : 0 0.15/0.42 # Propositional check unsatisfiable : 0 0.15/0.42 # Propositional clauses : 0 0.15/0.42 # Propositional clauses after purity: 0 0.15/0.42 # Propositional unsat core size : 0 0.15/0.42 # Propositional preprocessing time : 0.000 0.15/0.42 # Propositional encoding time : 0.000 0.15/0.42 # Propositional solver time : 0.000 0.15/0.42 # Success case prop preproc time : 0.000 0.15/0.42 # Success case prop encoding time : 0.000 0.15/0.42 # Success case prop solver time : 0.000 0.15/0.42 # Current number of processed clauses : 5 0.15/0.42 # Positive orientable unit clauses : 4 0.15/0.42 # Positive unorientable unit clauses: 0 0.15/0.42 # Negative unit clauses : 1 0.15/0.42 # Non-unit-clauses : 0 0.15/0.42 # Current number of unprocessed clauses: 49 0.15/0.42 # ...number of literals in the above : 171 0.15/0.42 # Current number of archived formulas : 0 0.15/0.42 # Current number of archived clauses : 1 0.15/0.42 # Clause-clause subsumption calls (NU) : 0 0.15/0.42 # Rec. Clause-clause subsumption calls : 0 0.15/0.42 # Non-unit clause-clause subsumptions : 0 0.15/0.42 # Unit Clause-clause subsumption calls : 0 0.15/0.42 # Rewrite failures with RHS unbound : 0 0.15/0.42 # BW rewrite match attempts : 0 0.15/0.42 # BW rewrite match successes : 0 0.15/0.42 # Condensation attempts : 0 0.15/0.42 # Condensation successes : 0 0.15/0.42 # Termbank termtop insertions : 5874 0.15/0.42 0.15/0.42 # ------------------------------------------------- 0.15/0.42 # User time : 0.005 s 0.15/0.42 # System time : 0.003 s 0.15/0.42 # Total time : 0.009 s 0.15/0.42 # Maximum resident set size: 2416 pages 0.15/0.42 0.15/0.42 # ------------------------------------------------- 0.15/0.42 # User time : 0.007 s 0.15/0.42 # System time : 0.006 s 0.15/0.42 # Total time : 0.012 s 0.15/0.42 # Maximum resident set size: 1788 pages 0.15/0.42 EOF