0.05/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.09 % Command : run_E %s %d THM 0.07/0.27 % Computer : n032.cluster.edu 0.07/0.27 % Model : x86_64 x86_64 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.07/0.27 % Memory : 8042.1875MB 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64 0.07/0.28 % CPULimit : 1440 0.07/0.28 % WCLimit : 180 0.07/0.28 % DateTime : Thu Jul 4 04:09:24 EDT 2024 0.07/0.28 % CPUTime : 0.13/0.38 Running higher-order theorem proving 0.13/0.38 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.aErfJ8vPuj/E---3.1_6945.p 0.13/0.41 # Version: 3.2.0-ho 0.13/0.41 # Preprocessing class: HSSSSLSSSLMNHFA. 0.13/0.41 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.13/0.41 # Starting ho_unfolding_6 with 900s (5) cores 0.13/0.41 # Starting pre_casc_5 with 180s (1) cores 0.13/0.41 # Starting additional_ho_6 with 180s (1) cores 0.13/0.41 # Starting sh11_fix with 180s (1) cores 0.13/0.41 # pre_casc_5 with pid 7025 completed with status 0 0.13/0.41 # Result found by pre_casc_5 0.13/0.41 # Preprocessing class: HSSSSLSSSLMNHFA. 0.13/0.41 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.13/0.41 # Starting ho_unfolding_6 with 900s (5) cores 0.13/0.41 # Starting pre_casc_5 with 180s (1) cores 0.13/0.41 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.13/0.41 # Search class: HGUSF-FFMS32-MHFFMFBN 0.13/0.41 # partial match(3): HGUSF-FFSF32-MHFFMFNN 0.13/0.41 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.13/0.41 # Starting new_ho_10 with 98s (1) cores 0.13/0.41 # new_ho_10 with pid 7028 completed with status 0 0.13/0.41 # Result found by new_ho_10 0.13/0.41 # Preprocessing class: HSSSSLSSSLMNHFA. 0.13/0.41 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.13/0.41 # Starting ho_unfolding_6 with 900s (5) cores 0.13/0.41 # Starting pre_casc_5 with 180s (1) cores 0.13/0.41 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.13/0.41 # Search class: HGUSF-FFMS32-MHFFMFBN 0.13/0.41 # partial match(3): HGUSF-FFSF32-MHFFMFNN 0.13/0.41 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.13/0.41 # Starting new_ho_10 with 98s (1) cores 0.13/0.41 # Preprocessing time : 0.001 s 0.13/0.41 # Presaturation interreduction done 0.13/0.41 0.13/0.41 # Proof found! 0.13/0.41 # SZS status Theorem 0.13/0.41 # SZS output start CNFRefutation 0.13/0.41 thf(decl_22, type, in: $i > $i > $o). 0.13/0.41 thf(decl_23, type, emptyset: $i). 0.13/0.41 thf(decl_24, type, setadjoin: $i > $i > $i). 0.13/0.41 thf(decl_25, type, dsetconstr: $i > ($i > $o) > $i). 0.13/0.41 thf(decl_26, type, subset: $i > $i > $o). 0.13/0.41 thf(decl_27, type, kpair: $i > $i > $i). 0.13/0.41 thf(decl_28, type, cartprod: $i > $i > $i). 0.13/0.41 thf(decl_29, type, singleton: $i > $o). 0.13/0.41 thf(decl_30, type, ex1: $i > ($i > $o) > $o). 0.13/0.41 thf(decl_31, type, breln: $i > $i > $i > $o). 0.13/0.41 thf(decl_32, type, func: $i > $i > $i > $o). 0.13/0.41 thf(decl_33, type, ap: $i > $i > $i > $i > $i). 0.13/0.41 thf(decl_34, type, app: $o). 0.13/0.41 thf(decl_35, type, ex1E2: $o). 0.13/0.41 thf(decl_36, type, funcGraphProp1: $o). 0.13/0.41 thf(decl_37, type, esk1_3: $i > $i > $i > $i). 0.13/0.41 thf(decl_38, type, esk2_3: $i > $i > $i > $i). 0.13/0.41 thf(decl_39, type, esk3_0: $i). 0.13/0.41 thf(decl_40, type, esk4_0: $i). 0.13/0.41 thf(decl_41, type, esk5_0: $i). 0.13/0.41 thf(decl_42, type, esk6_1: $i > $i). 0.13/0.41 thf(decl_43, type, esk7_0: $i). 0.13/0.41 thf(decl_44, type, esk8_0: $i). 0.13/0.41 thf(ex1, axiom, ((ex1)=(^[X1:$i, X3:$i > $o]:((singleton @ (dsetconstr @ X1 @ (^[X2:$i]:((X3 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.aErfJ8vPuj/E---3.1_6945.p', ex1)). 0.13/0.41 thf(singleton, axiom, ((singleton)=(^[X1:$i]:(?[X2:$i]:(((in @ X2 @ X1)&((X1)=(setadjoin @ X2 @ emptyset))))))), file('/export/starexec/sandbox2/tmp/tmp.aErfJ8vPuj/E---3.1_6945.p', singleton)). 0.13/0.41 thf(func, axiom, ((func)=(^[X1:$i, X4:$i, X6:$i]:(((breln @ X1 @ X4 @ X6)&![X2:$i]:(((in @ X2 @ X1)=>(ex1 @ X4 @ (^[X7:$i]:((in @ (kpair @ X2 @ X7) @ X6)))))))))), file('/export/starexec/sandbox2/tmp/tmp.aErfJ8vPuj/E---3.1_6945.p', func)). 0.13/0.41 thf(breln, axiom, ((breln)=(^[X1:$i, X4:$i, X5:$i]:((subset @ X5 @ (cartprod @ X1 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.aErfJ8vPuj/E---3.1_6945.p', breln)). 0.13/0.41 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/tmp/tmp.aErfJ8vPuj/E---3.1_6945.p', ex1E2)). 0.13/0.41 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/tmp/tmp.aErfJ8vPuj/E---3.1_6945.p', app)). 0.13/0.41 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/tmp/tmp.aErfJ8vPuj/E---3.1_6945.p', funcGraphProp1)). 0.13/0.41 thf(funcGraphProp2, conjecture, (((ex1E2)=>(![X1:$i, X4:$i, X8:$i]:(((func @ X1 @ X4 @ X8)=>![X2:$i]:((![X7:$i]:(((((ap @ X1 @ X4 @ X8 @ X2)=(X7))<=(in @ (kpair @ X2 @ X7) @ X8))<=(in @ X7 @ X4)))<=(in @ X2 @ X1)))))<=(funcGraphProp1)))<=(app)), file('/export/starexec/sandbox2/tmp/tmp.aErfJ8vPuj/E---3.1_6945.p', funcGraphProp2)). 0.13/0.41 thf(c_0_8, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X26:$i]:(((in @ X26 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X26 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[ex1])). 0.13/0.41 thf(c_0_9, plain, ((singleton)=(^[Z0/* 5 */:$i]:(?[X2:$i]:(((in @ X2 @ Z0)&((Z0)=(setadjoin @ X2 @ emptyset))))))), inference(fof_simplification,[status(thm)],[singleton])). 0.13/0.41 thf(c_0_10, plain, ((func)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((subset @ Z2 @ (cartprod @ Z0 @ Z1)))&![X2:$i]:(((in @ X2 @ Z0)=>(?[X27:$i]:(((in @ X27 @ (dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2))))))&((dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X27 @ emptyset))))))))))), inference(fof_simplification,[status(thm)],[func])). 0.13/0.41 thf(c_0_11, plain, ((breln)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])). 0.13/0.41 thf(c_0_12, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X26:$i]:(((in @ X26 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X26 @ emptyset)))))))), inference(apply_def,[status(thm)],[c_0_8, c_0_9])). 0.13/0.41 thf(c_0_13, plain, ((func)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((subset @ Z2 @ (cartprod @ Z0 @ Z1)))&![X2:$i]:(((in @ X2 @ Z0)=>(?[X27:$i]:(((in @ X27 @ (dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2))))))&((dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X27 @ emptyset))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_10, c_0_11]), c_0_12])). 0.13/0.41 thf(c_0_14, plain, ((ex1E2)<=>![X1:$i, X3:$i > $o]:(((ex1 @ X1 @ (^[Z0/* 3 */:$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])). 0.13/0.41 thf(c_0_15, axiom, ((app)=(![X1:$i, X4:$i, X8:$i]:((((((subset @ X8 @ (cartprod @ X1 @ X4)))&![X28:$i]:(((in @ X28 @ X1)=>(?[X29:$i]:(((in @ X29 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X28 @ Z0) @ X8))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X28 @ Z0) @ X8)))))=(setadjoin @ X29 @ emptyset)))))))))=>![X2:$i]:(((in @ X2 @ X1)=>(in @ (ap @ X1 @ X4 @ X8 @ X2) @ X4))))))), inference(apply_def,[status(thm)],[app, c_0_13])). 0.13/0.41 thf(c_0_16, plain, ((ex1E2)=(![X1:$i, X3:$i > $o]:(((?[X30:$i]:(((in @ X30 @ (dsetconstr @ X1 @ (^[Z0/* 3 */:$i]:(((X3 @ Z0))))))&((dsetconstr @ X1 @ (^[Z0/* 3 */:$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_14, c_0_12])). 0.13/0.41 thf(c_0_17, axiom, ((funcGraphProp1)=(![X1:$i, X4:$i, X8:$i]:((((((subset @ X8 @ (cartprod @ X1 @ X4)))&![X31:$i]:(((in @ X31 @ X1)=>(?[X32:$i]:(((in @ X32 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X31 @ Z0) @ X8))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X31 @ Z0) @ X8)))))=(setadjoin @ X32 @ emptyset)))))))))=>![X2:$i]:(((in @ X2 @ X1)=>(in @ (kpair @ X2 @ (ap @ X1 @ X4 @ X8 @ X2)) @ X8))))))), inference(apply_def,[status(thm)],[funcGraphProp1, c_0_13])). 0.13/0.41 thf(c_0_18, negated_conjecture, ~((![X46:$i, X47:$i, X48:$i]:((((subset @ X48 @ (cartprod @ X46 @ X47))&![X49:$i]:(((in @ X49 @ X46)=>?[X50:$i]:(((in @ X50 @ (dsetconstr @ X47 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X49 @ Z0) @ X48)))))&((dsetconstr @ X47 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X49 @ Z0) @ X48))))=(setadjoin @ X50 @ emptyset)))))))=>![X51:$i]:(((in @ X51 @ X46)=>(in @ (ap @ X46 @ X47 @ X48 @ X51) @ X47)))))=>(![X33:$i, X34:$i > $o]:((?[X35:$i]:(((in @ X35 @ (dsetconstr @ X33 @ X34))&((dsetconstr @ X33 @ X34)=(setadjoin @ X35 @ emptyset))))=>![X36:$i]:(((in @ X36 @ X33)=>![X37:$i]:(((in @ X37 @ X33)=>((X34 @ X36)=>((X34 @ X37)=>((X36)=(X37))))))))))=>(![X40:$i, X41:$i, X42:$i]:((((subset @ X42 @ (cartprod @ X40 @ X41))&![X43:$i]:(((in @ X43 @ X40)=>?[X44:$i]:(((in @ X44 @ (dsetconstr @ X41 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X43 @ Z0) @ X42)))))&((dsetconstr @ X41 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X43 @ Z0) @ X42))))=(setadjoin @ X44 @ emptyset)))))))=>![X45:$i]:(((in @ X45 @ X40)=>(in @ (kpair @ X45 @ (ap @ X40 @ X41 @ X42 @ X45)) @ X42)))))=>![X1:$i, X4:$i, X8:$i]:((((subset @ X8 @ (cartprod @ X1 @ X4))&![X38:$i]:(((in @ X38 @ X1)=>?[X39:$i]:(((in @ X39 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X38 @ Z0) @ X8)))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X38 @ Z0) @ X8))))=(setadjoin @ X39 @ emptyset)))))))=>![X2:$i]:(((in @ X2 @ X1)=>![X7:$i]:(((in @ X7 @ X4)=>((in @ (kpair @ X2 @ X7) @ X8)=>((ap @ X1 @ X4 @ X8 @ X2)=(X7))))))))))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[funcGraphProp2]), c_0_15]), c_0_16]), c_0_13]), c_0_17])])])). 0.13/0.41 thf(c_0_19, negated_conjecture, ![X52:$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/* 3 */:$i]:((in @ (kpair @ (esk1_3 @ X52 @ X53 @ X54) @ Z0) @ X54)))))|((dsetconstr @ X53 @ (^[Z0/* 3 */:$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 @ X59))|((dsetconstr @ X58 @ X59)!=(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/* 3 */:$i]:((in @ (kpair @ (esk2_3 @ X63 @ X64 @ X65) @ Z0) @ X65)))))|((dsetconstr @ X64 @ (^[Z0/* 3 */:$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/* 3 */:$i]:((in @ (kpair @ X72 @ Z0) @ esk5_0)))))|~(in @ X72 @ esk3_0))&(((dsetconstr @ esk4_0 @ (^[Z0/* 3 */:$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(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_18])])])])])])). 0.13/0.41 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])). 0.13/0.41 thf(c_0_21, negated_conjecture, (subset @ esk5_0 @ (cartprod @ esk3_0 @ esk4_0)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.13/0.41 thf(c_0_22, negated_conjecture, ![X1:$i, X2:$i, X3:$i > $o, X4:$i, X5:$i]:((((X4)=(X5))|~((in @ X1 @ (dsetconstr @ X2 @ X3)))|((dsetconstr @ X2 @ X3)!=(setadjoin @ X1 @ emptyset))|~((in @ X4 @ X2))|~((in @ X5 @ X2))|~((X3 @ X4))|~((X3 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.13/0.41 thf(c_0_23, negated_conjecture, ![X1:$i]:(((in @ (esk6_1 @ X1) @ (dsetconstr @ esk4_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1 @ Z0) @ esk5_0)))))|~((in @ X1 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.13/0.41 thf(c_0_24, negated_conjecture, ![X1:$i]:((((dsetconstr @ esk4_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1 @ Z0) @ esk5_0))))=(setadjoin @ (esk6_1 @ X1) @ emptyset))|~((in @ X1 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.13/0.41 thf(c_0_25, negated_conjecture, ![X1:$i, X2:$i, X5:$i, X6:$i, X4:$i]:(((in @ (ap @ X4 @ X2 @ X5 @ X6) @ X2)|~((in @ X1 @ (dsetconstr @ X2 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk1_3 @ X4 @ X2 @ X5) @ Z0) @ X5))))))|((dsetconstr @ X2 @ (^[Z0/* 3 */:$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])). 0.13/0.41 thf(c_0_26, negated_conjecture, ![X1:$i]:(((in @ (ap @ esk3_0 @ esk4_0 @ esk5_0 @ X1) @ esk4_0)|(in @ (esk1_3 @ esk3_0 @ esk4_0 @ esk5_0) @ esk3_0)|~((in @ X1 @ esk3_0)))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.13/0.41 thf(c_0_27, negated_conjecture, (in @ esk7_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_19])). 0.13/0.41 thf(c_0_28, negated_conjecture, ![X1:$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])). 0.13/0.41 thf(c_0_29, negated_conjecture, (in @ (kpair @ esk7_0 @ esk8_0) @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_19])). 0.13/0.41 thf(c_0_30, negated_conjecture, (in @ esk8_0 @ esk4_0), inference(split_conjunct,[status(thm)],[c_0_19])). 0.13/0.41 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])). 0.13/0.41 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])). 0.13/0.41 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])). 0.13/0.41 thf(c_0_34, negated_conjecture, ![X1:$i, X2:$i, X5:$i, X6:$i, X4:$i]:(((in @ (kpair @ X6 @ (ap @ X4 @ X2 @ X5 @ X6)) @ X5)|~((in @ X1 @ (dsetconstr @ X2 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk2_3 @ X4 @ X2 @ X5) @ Z0) @ X5))))))|((dsetconstr @ X2 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk2_3 @ X4 @ X2 @ X5) @ Z0) @ X5))))!=(setadjoin @ X1 @ emptyset))|~((subset @ X5 @ (cartprod @ X4 @ X2)))|~((in @ X6 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.13/0.41 thf(c_0_35, negated_conjecture, ![X1:$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])])). 0.13/0.41 thf(c_0_36, negated_conjecture, ![X1:$i]:(((in @ (kpair @ X1 @ (ap @ esk3_0 @ esk4_0 @ esk5_0 @ X1)) @ esk5_0)|(in @ (esk2_3 @ esk3_0 @ esk4_0 @ esk5_0) @ esk3_0)|~((in @ X1 @ esk3_0)))), inference(spm,[status(thm)],[c_0_31, c_0_21])). 0.13/0.41 thf(c_0_37, negated_conjecture, ((ap @ esk3_0 @ esk4_0 @ esk5_0 @ esk7_0)!=(esk8_0)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.13/0.41 thf(c_0_38, negated_conjecture, ![X1:$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])])). 0.13/0.41 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])). 0.13/0.41 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])). 0.13/0.41 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])). 0.13/0.41 thf(c_0_42, negated_conjecture, ![X1:$i]:((((ap @ X1 @ esk4_0 @ esk5_0 @ esk7_0)=(esk8_0))|~((in @ (ap @ X1 @ esk4_0 @ esk5_0 @ esk7_0) @ esk4_0))|~((in @ (esk2_3 @ X1 @ esk4_0 @ esk5_0) @ esk3_0))|~((subset @ esk5_0 @ (cartprod @ X1 @ esk4_0)))|~((in @ esk7_0 @ X1)))), inference(spm,[status(thm)],[c_0_35, c_0_39])). 0.13/0.41 thf(c_0_43, negated_conjecture, (in @ (esk2_3 @ esk3_0 @ esk4_0 @ esk5_0) @ esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])])). 0.13/0.41 thf(c_0_44, negated_conjecture, ($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']). 0.13/0.41 # SZS output end CNFRefutation 0.13/0.41 # Parsed axioms : 23 0.13/0.41 # Removed by relevancy pruning/SinE : 15 0.13/0.41 # Initial clauses : 12 0.13/0.41 # Removed in clause preprocessing : 0 0.13/0.41 # Initial clauses in saturation : 12 0.13/0.41 # Processed clauses : 38 0.13/0.41 # ...of these trivial : 0 0.13/0.41 # ...subsumed : 1 0.13/0.41 # ...remaining for further processing : 37 0.13/0.41 # Other redundant clauses eliminated : 0 0.13/0.41 # Clauses deleted for lack of memory : 0 0.13/0.41 # Backward-subsumed : 0 0.13/0.41 # Backward-rewritten : 4 0.13/0.41 # Generated clauses : 19 0.13/0.41 # ...of the previous two non-redundant : 18 0.13/0.41 # ...aggressively subsumed : 0 0.13/0.41 # Contextual simplify-reflections : 3 0.13/0.41 # Paramodulations : 19 0.13/0.41 # Factorizations : 0 0.13/0.41 # NegExts : 0 0.13/0.41 # Equation resolutions : 0 0.13/0.41 # Disequality decompositions : 0 0.13/0.41 # Total rewrite steps : 11 0.13/0.41 # ...of those cached : 6 0.13/0.41 # Propositional unsat checks : 0 0.13/0.41 # Propositional check models : 0 0.13/0.41 # Propositional check unsatisfiable : 0 0.13/0.41 # Propositional clauses : 0 0.13/0.41 # Propositional clauses after purity: 0 0.13/0.41 # Propositional unsat core size : 0 0.13/0.41 # Propositional preprocessing time : 0.000 0.13/0.41 # Propositional encoding time : 0.000 0.13/0.41 # Propositional solver time : 0.000 0.13/0.41 # Success case prop preproc time : 0.000 0.13/0.41 # Success case prop encoding time : 0.000 0.13/0.41 # Success case prop solver time : 0.000 0.13/0.41 # Current number of processed clauses : 21 0.13/0.41 # Positive orientable unit clauses : 6 0.13/0.41 # Positive unorientable unit clauses: 0 0.13/0.41 # Negative unit clauses : 1 0.13/0.41 # Non-unit-clauses : 14 0.13/0.41 # Current number of unprocessed clauses: 2 0.13/0.41 # ...number of literals in the above : 14 0.13/0.41 # Current number of archived formulas : 0 0.13/0.41 # Current number of archived clauses : 16 0.13/0.41 # Clause-clause subsumption calls (NU) : 61 0.13/0.41 # Rec. Clause-clause subsumption calls : 9 0.13/0.41 # Non-unit clause-clause subsumptions : 4 0.13/0.41 # Unit Clause-clause subsumption calls : 3 0.13/0.41 # Rewrite failures with RHS unbound : 0 0.13/0.41 # BW rewrite match attempts : 3 0.13/0.41 # BW rewrite match successes : 2 0.13/0.41 # Condensation attempts : 38 0.13/0.41 # Condensation successes : 0 0.13/0.41 # Termbank termtop insertions : 3932 0.13/0.41 # Search garbage collected termcells : 940 0.13/0.41 0.13/0.41 # ------------------------------------------------- 0.13/0.41 # User time : 0.006 s 0.13/0.41 # System time : 0.001 s 0.13/0.41 # Total time : 0.007 s 0.13/0.41 # Maximum resident set size: 2060 pages 0.13/0.41 0.13/0.41 # ------------------------------------------------- 0.13/0.41 # User time : 0.006 s 0.13/0.41 # System time : 0.003 s 0.13/0.41 # Total time : 0.009 s 0.13/0.41 # Maximum resident set size: 1732 pages 0.13/0.41 % E---3.1 exiting 0.13/0.41 % E exiting 0.13/0.41 EOF