0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : run_E %s %d THM 0.14/0.36 % Computer : n011.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 960 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Aug 9 05:50:36 EDT 2022 0.14/0.36 % CPUTime : 0.21/0.51 Running higher-order on 8 cores theorem proving 0.21/0.51 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=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.51 # Version: 3.0pre003-ho 0.35/0.52 # Preprocessing class: HSSSSLSSSLMNHFA. 0.35/0.52 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.35/0.52 # Starting ho_unfolding_6 with 600s (5) cores 0.35/0.52 # Starting pre_casc_5 with 120s (1) cores 0.35/0.52 # Starting additional_ho_6 with 120s (1) cores 0.35/0.52 # Starting sh11_fix with 120s (1) cores 0.35/0.52 # pre_casc_5 with pid 29093 completed with status 0 0.35/0.52 # Result found by pre_casc_5 0.35/0.52 # Preprocessing class: HSSSSLSSSLMNHFA. 0.35/0.52 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.35/0.52 # Starting ho_unfolding_6 with 600s (5) cores 0.35/0.52 # Starting pre_casc_5 with 120s (1) cores 0.35/0.52 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.35/0.52 # ...ProofStateSinE()=8/23 0.35/0.52 # Search class: HGUSF-FFMS32-MHFFMFBN 0.35/0.52 # partial match(3): HGUSF-FFSF32-MHFFMFNN 0.35/0.52 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.35/0.52 # Starting new_ho_10 with 65s (1) cores 0.35/0.52 # new_ho_10 with pid 29096 completed with status 0 0.35/0.52 # Result found by new_ho_10 0.35/0.52 # Preprocessing class: HSSSSLSSSLMNHFA. 0.35/0.52 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.35/0.52 # Starting ho_unfolding_6 with 600s (5) cores 0.35/0.52 # Starting pre_casc_5 with 120s (1) cores 0.35/0.52 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.35/0.52 # ...ProofStateSinE()=8/23 0.35/0.52 # Search class: HGUSF-FFMS32-MHFFMFBN 0.35/0.52 # partial match(3): HGUSF-FFSF32-MHFFMFNN 0.35/0.52 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.35/0.52 # Starting new_ho_10 with 65s (1) cores 0.35/0.52 # Preprocessing time : 0.002 s 0.35/0.52 # Presaturation interreduction done 0.35/0.52 0.35/0.52 # Proof found! 0.35/0.52 # SZS status Theorem 0.35/0.52 # SZS output start CNFRefutation 0.35/0.52 thf(decl_22, type, in: $i > $i > $o). 0.35/0.52 thf(decl_23, type, emptyset: $i). 0.35/0.52 thf(decl_24, type, setadjoin: $i > $i > $i). 0.35/0.52 thf(decl_25, type, dsetconstr: $i > ($i > $o) > $i). 0.35/0.52 thf(decl_26, type, subset: $i > $i > $o). 0.35/0.52 thf(decl_27, type, kpair: $i > $i > $i). 0.35/0.52 thf(decl_28, type, cartprod: $i > $i > $i). 0.35/0.52 thf(decl_29, type, singleton: $i > $o). 0.35/0.52 thf(decl_30, type, ex1: $i > ($i > $o) > $o). 0.35/0.52 thf(decl_31, type, breln: $i > $i > $i > $o). 0.35/0.52 thf(decl_32, type, func: $i > $i > $i > $o). 0.35/0.52 thf(decl_33, type, ap: $i > $i > $i > $i > $i). 0.35/0.52 thf(decl_34, type, app: $o). 0.35/0.52 thf(decl_35, type, ex1E2: $o). 0.35/0.52 thf(decl_36, type, funcGraphProp1: $o). 0.35/0.52 thf(decl_37, type, esk1_3: $i > $i > $i > $i). 0.35/0.52 thf(decl_38, type, esk2_3: $i > $i > $i > $i). 0.35/0.52 thf(decl_39, type, esk3_0: $i). 0.35/0.52 thf(decl_40, type, esk4_0: $i). 0.35/0.52 thf(decl_41, type, esk5_0: $i). 0.35/0.52 thf(decl_42, type, esk6_1: $i > $i). 0.35/0.52 thf(decl_43, type, esk7_0: $i). 0.35/0.52 thf(decl_44, type, esk8_0: $i). 0.35/0.52 thf(ex1, axiom, ((ex1)=(^[X1:$i, X3:$i > $o]:((singleton @ (dsetconstr @ X1 @ (^[X2:$i]:((X3 @ X2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ex1)). 0.35/0.52 thf(singleton, axiom, ((singleton)=(^[X1:$i]:(?[X2:$i]:(((in @ X2 @ X1)&((X1)=(setadjoin @ X2 @ emptyset))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', singleton)). 0.35/0.52 thf(func, axiom, ((func)=(^[X1:$i, X4:$i, X6:$i]:(((breln @ X1 @ X4 @ X6)&![X2:$i]:(((in @ X2 @ X1)=>(ex1 @ X4 @ (^[X7:$i]:((in @ (kpair @ X2 @ X7) @ X6)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', func)). 0.35/0.52 thf(breln, axiom, ((breln)=(^[X1:$i, X4:$i, X5:$i]:((subset @ X5 @ (cartprod @ X1 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', breln)). 0.35/0.52 thf(ex1E2, axiom, ((ex1E2)<=>![X1:$i, X3:$i > $o]:(((ex1 @ X1 @ (^[X2:$i]:((X3 @ X2))))=>![X2:$i]:(((in @ X2 @ X1)=>![X7:$i]:(((in @ X7 @ X1)=>((X3 @ X2)=>((X3 @ X7)=>((X2)=(X7))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ex1E2)). 0.35/0.52 thf(funcGraphProp1, axiom, ((funcGraphProp1)<=>![X1:$i, X4:$i, X8:$i]:(((func @ X1 @ X4 @ X8)=>![X2:$i]:(((in @ X2 @ X1)=>(in @ (kpair @ X2 @ (ap @ X1 @ X4 @ X8 @ X2)) @ X8)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcGraphProp1)). 0.35/0.52 thf(app, axiom, ((app)<=>![X1:$i, X4:$i, X8:$i]:(((func @ X1 @ X4 @ X8)=>![X2:$i]:(((in @ X2 @ X1)=>(in @ (ap @ X1 @ X4 @ X8 @ X2) @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', app)). 0.35/0.52 thf(funcGraphProp2, conjecture, ((app)=>(((funcGraphProp1)=>![X1:$i, X4:$i, X8:$i]:((![X2:$i]:(((in @ X2 @ X1)=>![X7:$i]:(((((ap @ X1 @ X4 @ X8 @ X2)=(X7))<=(in @ (kpair @ X2 @ X7) @ X8))<=(in @ X7 @ X4)))))<=(func @ X1 @ X4 @ X8))))<=(ex1E2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', funcGraphProp2)). 0.35/0.52 thf(c_0_8, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X26:$i]:(((in @ X26 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X26 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[ex1])). 0.35/0.52 thf(c_0_9, plain, ((singleton)=(^[Z0:$i]:(?[X2:$i]:(((in @ X2 @ Z0)&((Z0)=(setadjoin @ X2 @ emptyset))))))), inference(fof_simplification,[status(thm)],[singleton])). 0.35/0.52 thf(c_0_10, plain, ((func)=(^[Z0:$i, Z1:$i, Z2:$i]:((((subset @ Z2 @ (cartprod @ Z0 @ Z1)))&![X2:$i]:(((in @ X2 @ Z0)=>(?[X27:$i]:(((in @ X27 @ (dsetconstr @ Z1 @ (^[Z3:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2))))))&((dsetconstr @ Z1 @ (^[Z3:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X27 @ emptyset))))))))))), inference(fof_simplification,[status(thm)],[func])). 0.35/0.52 thf(c_0_11, plain, ((breln)=(^[Z0:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])). 0.35/0.52 thf(c_0_12, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X26:$i]:(((in @ X26 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X26 @ emptyset)))))))), inference(apply_def,[status(thm)],[c_0_8, c_0_9])). 0.35/0.52 thf(c_0_13, plain, ((ex1E2)<=>![X1:$i, X3:$i > $o]:(((ex1 @ X1 @ (^[Z0:$i]:((X3 @ Z0))))=>![X2:$i]:(((in @ X2 @ X1)=>![X7:$i]:(((in @ X7 @ X1)=>((X3 @ X2)=>((X3 @ X7)=>((X2)=(X7))))))))))), inference(fof_simplification,[status(thm)],[ex1E2])). 0.35/0.52 thf(c_0_14, plain, ((func)=(^[Z0:$i, Z1:$i, Z2:$i]:((((subset @ Z2 @ (cartprod @ Z0 @ Z1)))&![X2:$i]:(((in @ X2 @ Z0)=>(?[X27:$i]:(((in @ X27 @ (dsetconstr @ Z1 @ (^[Z3:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2))))))&((dsetconstr @ Z1 @ (^[Z3:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X27 @ emptyset))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_10, c_0_11]), c_0_12])). 0.35/0.52 thf(c_0_15, plain, ((ex1E2)=(![X1:$i, X3:$i > $o]:(((?[X30:$i]:(((in @ X30 @ (dsetconstr @ X1 @ (^[Z0:$i]:(((X3 @ Z0))))))&((dsetconstr @ X1 @ (^[Z0:$i]:(((X3 @ Z0)))))=(setadjoin @ X30 @ emptyset)))))=>![X2:$i]:(((in @ X2 @ X1)=>![X7:$i]:(((in @ X7 @ X1)=>((X3 @ X2)=>((X3 @ X7)=>((X2)=(X7)))))))))))), inference(apply_def,[status(thm)],[c_0_13, c_0_12])). 0.35/0.52 thf(c_0_16, axiom, ((funcGraphProp1)=(![X1:$i, X4:$i, X8:$i]:((((((subset @ X8 @ (cartprod @ X1 @ X4)))&![X31:$i]:(((in @ X31 @ X1)=>(?[X32:$i]:(((in @ X32 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((in @ (kpair @ X31 @ Z0) @ X8))))))&((dsetconstr @ X4 @ (^[Z0:$i]:(((in @ (kpair @ X31 @ Z0) @ X8)))))=(setadjoin @ X32 @ emptyset)))))))))=>![X2:$i]:(((in @ X2 @ X1)=>(in @ (kpair @ X2 @ (ap @ X1 @ X4 @ X8 @ X2)) @ X8))))))), inference(apply_def,[status(thm)],[funcGraphProp1, c_0_14])). 0.35/0.52 thf(c_0_17, axiom, ((app)=(![X1:$i, X4:$i, X8:$i]:((((((subset @ X8 @ (cartprod @ X1 @ X4)))&![X28:$i]:(((in @ X28 @ X1)=>(?[X29:$i]:(((in @ X29 @ (dsetconstr @ X4 @ (^[Z0:$i]:(((in @ (kpair @ X28 @ Z0) @ X8))))))&((dsetconstr @ X4 @ (^[Z0:$i]:(((in @ (kpair @ X28 @ Z0) @ X8)))))=(setadjoin @ X29 @ emptyset)))))))))=>![X2:$i]:(((in @ X2 @ X1)=>(in @ (ap @ X1 @ X4 @ X8 @ X2) @ X4))))))), inference(apply_def,[status(thm)],[app, c_0_14])). 0.35/0.52 thf(c_0_18, negated_conjecture, ~((![X33:$i, X34:$i, X35:$i]:((((subset @ X35 @ (cartprod @ X33 @ X34))&![X36:$i]:(((in @ X36 @ X33)=>?[X37:$i]:(((in @ X37 @ (dsetconstr @ X34 @ (^[Z0:$i]:((in @ (kpair @ X36 @ Z0) @ X35)))))&((dsetconstr @ X34 @ (^[Z0:$i]:((in @ (kpair @ X36 @ Z0) @ X35))))=(setadjoin @ X37 @ emptyset)))))))=>![X38:$i]:(((in @ X38 @ X33)=>(in @ (ap @ X33 @ X34 @ X35 @ X38) @ X34)))))=>(![X47:$i, X48:$i > $o]:((?[X49:$i]:(((in @ X49 @ (dsetconstr @ X47 @ (^[Z0:$i]:((X48 @ Z0)))))&((dsetconstr @ X47 @ (^[Z0:$i]:((X48 @ Z0))))=(setadjoin @ X49 @ emptyset))))=>![X50:$i]:(((in @ X50 @ X47)=>![X51:$i]:(((in @ X51 @ X47)=>((X48 @ X50)=>((X48 @ X51)=>((X50)=(X51))))))))))=>(![X39:$i, X40:$i, X41:$i]:((((subset @ X41 @ (cartprod @ X39 @ X40))&![X42:$i]:(((in @ X42 @ X39)=>?[X43:$i]:(((in @ X43 @ (dsetconstr @ X40 @ (^[Z0:$i]:((in @ (kpair @ X42 @ Z0) @ X41)))))&((dsetconstr @ X40 @ (^[Z0:$i]:((in @ (kpair @ X42 @ Z0) @ X41))))=(setadjoin @ X43 @ emptyset)))))))=>![X44:$i]:(((in @ X44 @ X39)=>(in @ (kpair @ X44 @ (ap @ X39 @ X40 @ X41 @ X44)) @ X41)))))=>![X1:$i, X4:$i, X8:$i]:((((subset @ X8 @ (cartprod @ X1 @ X4))&![X45:$i]:(((in @ X45 @ X1)=>?[X46:$i]:(((in @ X46 @ (dsetconstr @ X4 @ (^[Z0:$i]:((in @ (kpair @ X45 @ Z0) @ X8)))))&((dsetconstr @ X4 @ (^[Z0:$i]:((in @ (kpair @ X45 @ Z0) @ X8))))=(setadjoin @ X46 @ emptyset)))))))=>![X2:$i]:(((in @ X2 @ X1)=>![X7:$i]:(((in @ X7 @ X4)=>((in @ (kpair @ X2 @ X7) @ X8)=>((ap @ X1 @ X4 @ X8 @ X2)=(X7))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[funcGraphProp2]), c_0_15]), c_0_16]), c_0_17]), c_0_14])])). 0.35/0.52 thf(c_0_19, negated_conjecture, ![X52:$i, X53:$i, X54:$i, X56:$i, X57:$i, X58:$i, X59:$i > $o, X60:$i, X61:$i, X62:$i, X63:$i, X64:$i, X65:$i, X67:$i, X68:$i, X72:$i]:(((((in @ (esk1_3 @ X52 @ X53 @ X54) @ X52)|~(subset @ X54 @ (cartprod @ X52 @ X53))|(~(in @ X57 @ X52)|(in @ (ap @ X52 @ X53 @ X54 @ X57) @ X53)))&(~(in @ X56 @ (dsetconstr @ X53 @ (^[Z0:$i]:((in @ (kpair @ (esk1_3 @ X52 @ X53 @ X54) @ Z0) @ X54)))))|((dsetconstr @ X53 @ (^[Z0:$i]:((in @ (kpair @ (esk1_3 @ X52 @ X53 @ X54) @ Z0) @ X54))))!=(setadjoin @ X56 @ emptyset))|~(subset @ X54 @ (cartprod @ X52 @ X53))|(~(in @ X57 @ X52)|(in @ (ap @ X52 @ X53 @ X54 @ X57) @ X53))))&((~(in @ X60 @ (dsetconstr @ X58 @ (^[Z0:$i]:((X59 @ Z0)))))|((dsetconstr @ X58 @ (^[Z0:$i]:((X59 @ Z0))))!=(setadjoin @ X60 @ emptyset))|(~(in @ X61 @ X58)|(~(in @ X62 @ X58)|(~(X59 @ X61)|(~(X59 @ X62)|((X61)=(X62)))))))&((((in @ (esk2_3 @ X63 @ X64 @ X65) @ X63)|~(subset @ X65 @ (cartprod @ X63 @ X64))|(~(in @ X68 @ X63)|(in @ (kpair @ X68 @ (ap @ X63 @ X64 @ X65 @ X68)) @ X65)))&(~(in @ X67 @ (dsetconstr @ X64 @ (^[Z0:$i]:((in @ (kpair @ (esk2_3 @ X63 @ X64 @ X65) @ Z0) @ X65)))))|((dsetconstr @ X64 @ (^[Z0:$i]:((in @ (kpair @ (esk2_3 @ X63 @ X64 @ X65) @ Z0) @ X65))))!=(setadjoin @ X67 @ emptyset))|~(subset @ X65 @ (cartprod @ X63 @ X64))|(~(in @ X68 @ X63)|(in @ (kpair @ X68 @ (ap @ X63 @ X64 @ X65 @ X68)) @ X65))))&(((subset @ esk5_0 @ (cartprod @ esk3_0 @ esk4_0))&(((in @ (esk6_1 @ X72) @ (dsetconstr @ esk4_0 @ (^[Z0:$i]:((in @ (kpair @ X72 @ Z0) @ esk5_0)))))|~(in @ X72 @ esk3_0))&(((dsetconstr @ esk4_0 @ (^[Z0:$i]:((in @ (kpair @ X72 @ Z0) @ esk5_0))))=(setadjoin @ (esk6_1 @ X72) @ emptyset))|~(in @ X72 @ esk3_0))))&((in @ esk7_0 @ esk3_0)&((in @ esk8_0 @ esk4_0)&((in @ (kpair @ esk7_0 @ esk8_0) @ esk5_0)&((ap @ esk3_0 @ esk4_0 @ esk5_0 @ esk7_0)!=(esk8_0)))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])). 0.35/0.52 thf(c_0_20, negated_conjecture, ![X2:$i, X5:$i, X4:$i, X1:$i]:(((in @ (esk1_3 @ X1 @ X2 @ X4) @ X1)|(in @ (ap @ X1 @ X2 @ X4 @ X5) @ X2)|~((subset @ X4 @ (cartprod @ X1 @ X2)))|~((in @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.35/0.52 thf(c_0_21, negated_conjecture, (subset @ esk5_0 @ (cartprod @ esk3_0 @ esk4_0)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.35/0.52 thf(c_0_22, negated_conjecture, ![X1:$i, X2:$i, X3:$i > $o, X4:$i, X5:$i]:((((X4)=(X5))|~((in @ X1 @ (dsetconstr @ X2 @ X3)))|((dsetconstr @ X2 @ X3)!=(setadjoin @ X1 @ emptyset))|~((in @ X4 @ X2))|~((in @ X5 @ X2))|~((X3 @ X4))|~((X3 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.35/0.52 thf(c_0_23, negated_conjecture, ![X1:$i]:(((in @ (esk6_1 @ X1) @ (dsetconstr @ esk4_0 @ (^[Z0:$i]:((in @ (kpair @ X1 @ Z0) @ esk5_0)))))|~((in @ X1 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.35/0.52 thf(c_0_24, negated_conjecture, ![X1:$i]:((((dsetconstr @ esk4_0 @ (^[Z0:$i]:((in @ (kpair @ X1 @ Z0) @ esk5_0))))=(setadjoin @ (esk6_1 @ X1) @ emptyset))|~((in @ X1 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.35/0.52 thf(c_0_25, negated_conjecture, ![X1:$i, X2:$i, X5:$i, X6:$i, X4:$i]:(((in @ (ap @ X4 @ X2 @ X5 @ X6) @ X2)|~((in @ X1 @ (dsetconstr @ X2 @ (^[Z0:$i]:((in @ (kpair @ (esk1_3 @ X4 @ X2 @ X5) @ Z0) @ X5))))))|((dsetconstr @ X2 @ (^[Z0:$i]:((in @ (kpair @ (esk1_3 @ X4 @ X2 @ X5) @ Z0) @ X5))))!=(setadjoin @ X1 @ emptyset))|~((subset @ X5 @ (cartprod @ X4 @ X2)))|~((in @ X6 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.35/0.52 thf(c_0_26, negated_conjecture, ![X1:$i]:(((in @ (ap @ esk3_0 @ esk4_0 @ esk5_0 @ X1) @ esk4_0)|(in @ (esk1_3 @ esk3_0 @ esk4_0 @ esk5_0) @ esk3_0)|~((in @ X1 @ esk3_0)))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.35/0.52 thf(c_0_27, negated_conjecture, (in @ esk7_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_19])). 0.35/0.52 thf(c_0_28, negated_conjecture, ![X1:$i, X2:$i, X4:$i]:((((X1)=(X2))|~((in @ (kpair @ X4 @ X2) @ esk5_0))|~((in @ (kpair @ X4 @ X1) @ esk5_0))|~((in @ X2 @ esk4_0))|~((in @ X1 @ esk4_0))|~((in @ X4 @ esk3_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])). 0.35/0.52 thf(c_0_29, negated_conjecture, (in @ (kpair @ esk7_0 @ esk8_0) @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_19])). 0.35/0.52 thf(c_0_30, negated_conjecture, (in @ esk8_0 @ esk4_0), inference(split_conjunct,[status(thm)],[c_0_19])). 0.35/0.52 thf(c_0_31, negated_conjecture, ![X2:$i, X5:$i, X4:$i, X1:$i]:(((in @ (esk2_3 @ X1 @ X2 @ X4) @ X1)|(in @ (kpair @ X5 @ (ap @ X1 @ X2 @ X4 @ X5)) @ X4)|~((subset @ X4 @ (cartprod @ X1 @ X2)))|~((in @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.35/0.52 thf(c_0_32, negated_conjecture, ![X2:$i, X1:$i]:(((in @ (ap @ X1 @ esk4_0 @ esk5_0 @ X2) @ esk4_0)|~((in @ (esk1_3 @ X1 @ esk4_0 @ esk5_0) @ esk3_0))|~((subset @ esk5_0 @ (cartprod @ X1 @ esk4_0)))|~((in @ X2 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_23]), c_0_24])). 0.35/0.52 thf(c_0_33, negated_conjecture, ((in @ (ap @ esk3_0 @ esk4_0 @ esk5_0 @ esk7_0) @ esk4_0)|(in @ (esk1_3 @ esk3_0 @ esk4_0 @ esk5_0) @ esk3_0)), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.35/0.52 thf(c_0_34, negated_conjecture, ![X1:$i, X2:$i, X5:$i, X6:$i, X4:$i]:(((in @ (kpair @ X6 @ (ap @ X4 @ X2 @ X5 @ X6)) @ X5)|~((in @ X1 @ (dsetconstr @ X2 @ (^[Z0:$i]:((in @ (kpair @ (esk2_3 @ X4 @ X2 @ X5) @ Z0) @ X5))))))|((dsetconstr @ X2 @ (^[Z0:$i]:((in @ (kpair @ (esk2_3 @ X4 @ X2 @ X5) @ Z0) @ X5))))!=(setadjoin @ X1 @ emptyset))|~((subset @ X5 @ (cartprod @ X4 @ X2)))|~((in @ X6 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.35/0.52 thf(c_0_35, negated_conjecture, ![X1:$i]:((((X1)=(esk8_0))|~((in @ (kpair @ esk7_0 @ X1) @ esk5_0))|~((in @ X1 @ esk4_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_27])])). 0.35/0.52 thf(c_0_36, negated_conjecture, ![X1:$i]:(((in @ (kpair @ X1 @ (ap @ esk3_0 @ esk4_0 @ esk5_0 @ X1)) @ esk5_0)|(in @ (esk2_3 @ esk3_0 @ esk4_0 @ esk5_0) @ esk3_0)|~((in @ X1 @ esk3_0)))), inference(spm,[status(thm)],[c_0_31, c_0_21])). 0.35/0.52 thf(c_0_37, negated_conjecture, ((ap @ esk3_0 @ esk4_0 @ esk5_0 @ esk7_0)!=(esk8_0)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.35/0.52 thf(c_0_38, negated_conjecture, ![X1:$i]:(((in @ (ap @ esk3_0 @ esk4_0 @ esk5_0 @ esk7_0) @ esk4_0)|(in @ (ap @ esk3_0 @ esk4_0 @ esk5_0 @ X1) @ esk4_0)|~((in @ X1 @ esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_21])])). 0.35/0.52 thf(c_0_39, negated_conjecture, ![X1:$i, X2:$i]:(((in @ (kpair @ X1 @ (ap @ X2 @ esk4_0 @ esk5_0 @ X1)) @ esk5_0)|~((in @ (esk2_3 @ X2 @ esk4_0 @ esk5_0) @ esk3_0))|~((subset @ esk5_0 @ (cartprod @ X2 @ esk4_0)))|~((in @ X1 @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_23]), c_0_24])). 0.35/0.52 thf(c_0_40, negated_conjecture, ((in @ (esk2_3 @ esk3_0 @ esk4_0 @ esk5_0) @ esk3_0)|~((in @ (ap @ esk3_0 @ esk4_0 @ esk5_0 @ esk7_0) @ esk4_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_27])]), c_0_37])). 0.35/0.52 thf(c_0_41, negated_conjecture, (in @ (ap @ esk3_0 @ esk4_0 @ esk5_0 @ esk7_0) @ esk4_0), inference(spm,[status(thm)],[c_0_38, c_0_27])). 0.35/0.52 thf(c_0_42, negated_conjecture, ![X1:$i]:((((ap @ X1 @ esk4_0 @ esk5_0 @ esk7_0)=(esk8_0))|~((in @ (ap @ X1 @ esk4_0 @ esk5_0 @ esk7_0) @ esk4_0))|~((in @ (esk2_3 @ X1 @ esk4_0 @ esk5_0) @ esk3_0))|~((subset @ esk5_0 @ (cartprod @ X1 @ esk4_0)))|~((in @ esk7_0 @ X1)))), inference(spm,[status(thm)],[c_0_35, c_0_39])). 0.35/0.52 thf(c_0_43, negated_conjecture, (in @ (esk2_3 @ esk3_0 @ esk4_0 @ esk5_0) @ esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])])). 0.35/0.52 thf(c_0_44, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_41]), c_0_21]), c_0_27])]), c_0_37]), ['proof']). 0.35/0.52 # SZS output end CNFRefutation 0.35/0.52 # Parsed axioms : 23 0.35/0.52 # Removed by relevancy pruning/SinE : 15 0.35/0.52 # Initial clauses : 12 0.35/0.52 # Removed in clause preprocessing : 0 0.35/0.52 # Initial clauses in saturation : 12 0.35/0.52 # Processed clauses : 38 0.35/0.52 # ...of these trivial : 0 0.35/0.52 # ...subsumed : 1 0.35/0.52 # ...remaining for further processing : 37 0.35/0.52 # Other redundant clauses eliminated : 0 0.35/0.52 # Clauses deleted for lack of memory : 0 0.35/0.52 # Backward-subsumed : 0 0.35/0.52 # Backward-rewritten : 4 0.35/0.52 # Generated clauses : 19 0.35/0.52 # ...of the previous two non-redundant : 18 0.35/0.52 # ...aggressively subsumed : 0 0.35/0.52 # Contextual simplify-reflections : 3 0.35/0.52 # Paramodulations : 19 0.35/0.52 # Factorizations : 0 0.35/0.52 # NegExts : 0 0.35/0.52 # Equation resolutions : 0 0.35/0.52 # Propositional unsat checks : 0 0.35/0.52 # Propositional check models : 0 0.35/0.52 # Propositional check unsatisfiable : 0 0.35/0.52 # Propositional clauses : 0 0.35/0.52 # Propositional clauses after purity: 0 0.35/0.52 # Propositional unsat core size : 0 0.35/0.52 # Propositional preprocessing time : 0.000 0.35/0.52 # Propositional encoding time : 0.000 0.35/0.52 # Propositional solver time : 0.000 0.35/0.52 # Success case prop preproc time : 0.000 0.35/0.52 # Success case prop encoding time : 0.000 0.35/0.52 # Success case prop solver time : 0.000 0.35/0.52 # Current number of processed clauses : 21 0.35/0.52 # Positive orientable unit clauses : 6 0.35/0.52 # Positive unorientable unit clauses: 0 0.35/0.52 # Negative unit clauses : 1 0.35/0.52 # Non-unit-clauses : 14 0.35/0.52 # Current number of unprocessed clauses: 2 0.35/0.52 # ...number of literals in the above : 14 0.35/0.52 # Current number of archived formulas : 0 0.35/0.52 # Current number of archived clauses : 16 0.35/0.52 # Clause-clause subsumption calls (NU) : 61 0.35/0.52 # Rec. Clause-clause subsumption calls : 9 0.35/0.52 # Non-unit clause-clause subsumptions : 4 0.35/0.52 # Unit Clause-clause subsumption calls : 3 0.35/0.52 # Rewrite failures with RHS unbound : 0 0.35/0.52 # BW rewrite match attempts : 3 0.35/0.52 # BW rewrite match successes : 2 0.35/0.52 # Condensation attempts : 38 0.35/0.52 # Condensation successes : 0 0.35/0.52 # Termbank termtop insertions : 3897 0.35/0.52 0.35/0.52 # ------------------------------------------------- 0.35/0.52 # User time : 0.008 s 0.35/0.52 # System time : 0.003 s 0.35/0.52 # Total time : 0.011 s 0.35/0.52 # Maximum resident set size: 2068 pages 0.35/0.52 0.35/0.52 # ------------------------------------------------- 0.35/0.52 # User time : 0.008 s 0.35/0.52 # System time : 0.007 s 0.35/0.52 # Total time : 0.015 s 0.35/0.52 # Maximum resident set size: 1732 pages 0.35/0.52 EOF