0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n010.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 03:44:49 EDT 2025 0.12/0.33 % CPUTime : 0.20/0.48 Running higher-order theorem proving 0.20/0.49 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=240 /export/starexec/sandbox2/tmp/tmp.f0eK9b3kWK/E---3.1_1846.p 0.20/0.53 # Version: 3.0.0-ho 0.20/0.53 # Preprocessing class: HSSSSLSSSLMNHSN. 0.20/0.53 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.53 # Starting ho_unfolding_6 with 1200s (5) cores 0.20/0.53 # Starting ehoh_best_sine_rwall with 240s (1) cores 0.20/0.53 # Starting pre_casc_5 with 240s (1) cores 0.20/0.53 # Starting additional_ho_6 with 240s (1) cores 0.20/0.53 # pre_casc_5 with pid 1937 completed with status 0 0.20/0.53 # Result found by pre_casc_5 0.20/0.53 # Preprocessing class: HSSSSLSSSLMNHSN. 0.20/0.53 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.53 # Starting ho_unfolding_6 with 1200s (5) cores 0.20/0.53 # Starting ehoh_best_sine_rwall with 240s (1) cores 0.20/0.53 # Starting pre_casc_5 with 240s (1) cores 0.20/0.53 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.20/0.53 # Search class: HGUSF-FFMF32-DHSFMFNN 0.20/0.53 # partial match(3): HGUSF-FFMF32-SFFFMFNN 0.20/0.53 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.20/0.53 # Starting full_lambda_5 with 130s (1) cores 0.20/0.53 # full_lambda_5 with pid 1939 completed with status 0 0.20/0.53 # Result found by full_lambda_5 0.20/0.53 # Preprocessing class: HSSSSLSSSLMNHSN. 0.20/0.53 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.53 # Starting ho_unfolding_6 with 1200s (5) cores 0.20/0.53 # Starting ehoh_best_sine_rwall with 240s (1) cores 0.20/0.53 # Starting pre_casc_5 with 240s (1) cores 0.20/0.53 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.20/0.53 # Search class: HGUSF-FFMF32-DHSFMFNN 0.20/0.53 # partial match(3): HGUSF-FFMF32-SFFFMFNN 0.20/0.53 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.20/0.53 # Starting full_lambda_5 with 130s (1) cores 0.20/0.53 # Preprocessing time : 0.002 s 0.20/0.53 # Presaturation interreduction done 0.20/0.53 0.20/0.53 # Proof found! 0.20/0.53 # SZS status Theorem 0.20/0.53 # SZS output start CNFRefutation 0.20/0.53 thf(decl_23, type, in: $i > $i > $o). 0.20/0.53 thf(decl_24, type, emptyset: $i). 0.20/0.53 thf(decl_25, type, setadjoin: $i > $i > $i). 0.20/0.53 thf(decl_26, type, dsetconstr: $i > ($i > $o) > $i). 0.20/0.53 thf(decl_27, type, subset: $i > $i > $o). 0.20/0.53 thf(decl_28, type, kpair: $i > $i > $i). 0.20/0.53 thf(decl_29, type, cartprod: $i > $i > $i). 0.20/0.53 thf(decl_30, type, singleton: $i > $o). 0.20/0.53 thf(decl_31, type, ex1: $i > ($i > $o) > $o). 0.20/0.53 thf(decl_32, type, breln: $i > $i > $i > $o). 0.20/0.53 thf(decl_33, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 0.20/0.53 thf(decl_34, type, func: $i > $i > $i > $o). 0.20/0.53 thf(decl_35, type, funcSet: $i > $i > $i). 0.20/0.53 thf(decl_36, type, funcinfuncset: $o). 0.20/0.53 thf(decl_37, type, lam: $i > $i > ($i > $i) > $i). 0.20/0.53 thf(decl_38, type, lamp: $o). 0.20/0.53 thf(decl_39, type, esk1_3: $i > $i > $i > $i). 0.20/0.53 thf(decl_40, type, esk2_3: $i > $i > ($i > $i) > $i). 0.20/0.53 thf(decl_41, type, esk3_4: $i > $i > ($i > $i) > $i > $i). 0.20/0.53 thf(decl_42, type, esk4_0: $i). 0.20/0.53 thf(decl_43, type, esk5_0: $i). 0.20/0.53 thf(decl_44, type, esk6_0: $i > $i). 0.20/0.53 thf(ex1, axiom, ((ex1)=(^[X1:$i, X3:$i > $o]:((singleton @ (dsetconstr @ X1 @ (^[X2:$i]:((X3 @ X2)))))))), file('/export/starexec/sandbox2/tmp/tmp.f0eK9b3kWK/E---3.1_1846.p', ex1)). 0.20/0.53 thf(singleton, axiom, ((singleton)=(^[X1:$i]:(?[X2:$i]:(((in @ X2 @ X1)&((X1)=(setadjoin @ X2 @ emptyset))))))), file('/export/starexec/sandbox2/tmp/tmp.f0eK9b3kWK/E---3.1_1846.p', singleton)). 0.20/0.53 thf(func, axiom, ((func)=(^[X1:$i, X4:$i, X6:$i]:(((breln @ X1 @ X4 @ X6)&![X2:$i]:(((in @ X2 @ X1)=>(ex1 @ X4 @ (^[X7:$i]:((in @ (kpair @ X2 @ X7) @ X6)))))))))), file('/export/starexec/sandbox2/tmp/tmp.f0eK9b3kWK/E---3.1_1846.p', func)). 0.20/0.53 thf(breln, axiom, ((breln)=(^[X1:$i, X4:$i, X5:$i]:((subset @ X5 @ (cartprod @ X1 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.f0eK9b3kWK/E---3.1_1846.p', breln)). 0.20/0.53 thf(lamp, axiom, ((lamp)<=>![X1:$i, X4:$i, X10:$i > $i]:((![X2:$i]:(((in @ X2 @ X1)=>(in @ (X10 @ X2) @ X4)))=>(func @ X1 @ X4 @ (lam @ X1 @ X4 @ (^[X2:$i]:(X10 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.f0eK9b3kWK/E---3.1_1846.p', lamp)). 0.20/0.53 thf(lam, axiom, ((lam)=(^[X1:$i, X4:$i, X9:$i > $i]:(dpsetconstr @ X1 @ X4 @ (^[X2:$i, X7:$i]:(((X9 @ X2)=(X7))))))), file('/export/starexec/sandbox2/tmp/tmp.f0eK9b3kWK/E---3.1_1846.p', lam)). 0.20/0.53 thf(funcinfuncset, axiom, ((funcinfuncset)<=>![X1:$i, X4:$i, X8:$i]:(((func @ X1 @ X4 @ X8)=>(in @ X8 @ (funcSet @ X1 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.f0eK9b3kWK/E---3.1_1846.p', funcinfuncset)). 0.20/0.53 thf(lam2p, conjecture, ((![X1:$i, X4:$i, X11:$i > $i]:(((in @ (lam @ X1 @ X4 @ (^[X2:$i]:(X11 @ X2))) @ (funcSet @ X1 @ X4))<=![X2:$i]:(((in @ (X11 @ X2) @ X4)<=(in @ X2 @ X1)))))<=(lamp))<=(funcinfuncset)), file('/export/starexec/sandbox2/tmp/tmp.f0eK9b3kWK/E---3.1_1846.p', lam2p)). 0.20/0.53 thf(c_0_8, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X23:$i]:(((in @ X23 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X23 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[ex1])). 0.20/0.53 thf(c_0_9, plain, ((singleton)=(^[Z0/* 5 */:$i]:(?[X2:$i]:(((in @ X2 @ Z0)&((Z0)=(setadjoin @ X2 @ emptyset))))))), inference(fof_simplification,[status(thm)],[singleton])). 0.20/0.53 thf(c_0_10, plain, ((func)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((subset @ Z2 @ (cartprod @ Z0 @ Z1)))&![X2:$i]:(((in @ X2 @ Z0)=>(?[X24:$i]:(((in @ X24 @ (dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2))))))&((dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X24 @ emptyset))))))))))), inference(fof_simplification,[status(thm)],[func])). 0.20/0.53 thf(c_0_11, plain, ((breln)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])). 0.20/0.53 thf(c_0_12, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X23:$i]:(((in @ X23 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X23 @ emptyset)))))))), inference(apply_def,[status(thm)],[c_0_8, c_0_9])). 0.20/0.53 thf(c_0_13, plain, ((func)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((subset @ Z2 @ (cartprod @ Z0 @ Z1)))&![X2:$i]:(((in @ X2 @ Z0)=>(?[X24:$i]:(((in @ X24 @ (dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2))))))&((dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X24 @ emptyset))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_10, c_0_11]), c_0_12])). 0.20/0.53 thf(c_0_14, plain, ((lamp)<=>![X1:$i, X4:$i, X10:$i > $i]:((![X2:$i]:(((in @ X2 @ X1)=>(in @ (X10 @ X2) @ X4)))=>(func @ X1 @ X4 @ (lam @ X1 @ X4 @ (^[Z0/* 17 */:$i]:(X10 @ Z0))))))), inference(fof_simplification,[status(thm)],[lamp])). 0.20/0.53 thf(c_0_15, plain, ((lam)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i > $i]:(dpsetconstr @ Z0 @ Z1 @ (^[Z3/* 19 */:$i, Z4:$i]:(((Z2 @ Z3)=(Z4))))))), inference(fof_simplification,[status(thm)],[lam])). 0.20/0.53 thf(c_0_16, axiom, ((funcinfuncset)=(![X1:$i, X4:$i, X8:$i]:((((((subset @ X8 @ (cartprod @ X1 @ X4)))&![X25:$i]:(((in @ X25 @ X1)=>(?[X26:$i]:(((in @ X26 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X25 @ Z0) @ X8))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X25 @ Z0) @ X8)))))=(setadjoin @ X26 @ emptyset)))))))))=>(in @ X8 @ (funcSet @ X1 @ X4)))))), inference(apply_def,[status(thm)],[funcinfuncset, c_0_13])). 0.20/0.53 thf(c_0_17, plain, ((lamp)=(![X1:$i, X4:$i, X10:$i > $i]:((![X2:$i]:(((in @ X2 @ X1)=>(in @ (X10 @ X2) @ X4)))=>((((subset @ (dpsetconstr @ X1 @ X4 @ (^[Z0/* 19 */:$i, Z1:$i]:(((X10 @ Z0)=(Z1))))) @ (cartprod @ X1 @ X4)))&![X27:$i]:(((in @ X27 @ X1)=>(?[X28:$i]:(((in @ X28 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X27 @ Z0) @ (dpsetconstr @ X1 @ X4 @ (^[Z1/* 19 */:$i, Z2:$i]:(((X10 @ Z1)=(Z2)))))))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X27 @ Z0) @ (dpsetconstr @ X1 @ X4 @ (^[Z1/* 19 */:$i, Z2:$i]:(((X10 @ Z1)=(Z2))))))))))=(setadjoin @ X28 @ emptyset))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_14, c_0_13]), c_0_15])). 0.20/0.53 thf(c_0_18, negated_conjecture, ~((![X35:$i, X36:$i, X37:$i]:((((subset @ X37 @ (cartprod @ X35 @ X36))&![X38:$i]:(((in @ X38 @ X35)=>?[X39:$i]:(((in @ X39 @ (dsetconstr @ X36 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X38 @ Z0) @ X37)))))&((dsetconstr @ X36 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X38 @ Z0) @ X37))))=(setadjoin @ X39 @ emptyset)))))))=>(in @ X37 @ (funcSet @ X35 @ X36))))=>(![X29:$i, X30:$i, X31:$i > $i]:((![X32:$i]:(((in @ X32 @ X29)=>(in @ (X31 @ X32) @ X30)))=>((subset @ (dpsetconstr @ X29 @ X30 @ (^[Z0/* 3 */:$i]:($eq @ (X31 @ Z0)))) @ (cartprod @ X29 @ X30))&![X33:$i]:(((in @ X33 @ X29)=>?[X34:$i]:(((in @ X34 @ (dsetconstr @ X30 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X33 @ Z0) @ (dpsetconstr @ X29 @ X30 @ (^[Z1/* 3 */:$i]:($eq @ (X31 @ Z1)))))))))&((dsetconstr @ X30 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X33 @ Z0) @ (dpsetconstr @ X29 @ X30 @ (^[Z1/* 3 */:$i]:($eq @ (X31 @ Z1))))))))=(setadjoin @ X34 @ emptyset)))))))))=>![X1:$i, X4:$i, X11:$i > $i]:((![X2:$i]:(((in @ X2 @ X1)=>(in @ (X11 @ X2) @ X4)))=>(in @ (dpsetconstr @ X1 @ X4 @ (^[Z0/* 3 */:$i]:($eq @ (X11 @ Z0)))) @ (funcSet @ X1 @ X4))))))), 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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[lam2p])]), c_0_16]), c_0_15]), c_0_17])])])). 0.20/0.53 thf(c_0_19, negated_conjecture, ![X40:$i, X41:$i, X42:$i, X44:$i, X45:$i, X46:$i, X47:$i > $i, X49:$i, X54:$i]:(((((in @ (esk1_3 @ X40 @ X41 @ X42) @ X40)|~(subset @ X42 @ (cartprod @ X40 @ X41))|(in @ X42 @ (funcSet @ X40 @ X41)))&(~(in @ X44 @ (dsetconstr @ X41 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk1_3 @ X40 @ X41 @ X42) @ Z0) @ X42)))))|((dsetconstr @ X41 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk1_3 @ X40 @ X41 @ X42) @ Z0) @ X42))))!=(setadjoin @ X44 @ emptyset))|~(subset @ X42 @ (cartprod @ X40 @ X41))|(in @ X42 @ (funcSet @ X40 @ X41))))&(((((subset @ (dpsetconstr @ X45 @ X46 @ (^[Z0/* 3 */:$i]:($eq @ (X47 @ Z0)))) @ (cartprod @ X45 @ X46))|(in @ (esk2_3 @ X45 @ X46 @ X47) @ X45))&(((in @ (esk3_4 @ X45 @ X46 @ X47 @ X49) @ (dsetconstr @ X46 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X49 @ Z0) @ (dpsetconstr @ X45 @ X46 @ (^[Z1/* 3 */:$i]:($eq @ (X47 @ Z1)))))))))|~(in @ X49 @ X45)|(in @ (esk2_3 @ X45 @ X46 @ X47) @ X45))&(((dsetconstr @ X46 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X49 @ Z0) @ (dpsetconstr @ X45 @ X46 @ (^[Z1/* 3 */:$i]:($eq @ (X47 @ Z1))))))))=(setadjoin @ (esk3_4 @ X45 @ X46 @ X47 @ X49) @ emptyset))|~(in @ X49 @ X45)|(in @ (esk2_3 @ X45 @ X46 @ X47) @ X45))))&(((subset @ (dpsetconstr @ X45 @ X46 @ (^[Z0/* 3 */:$i]:($eq @ (X47 @ Z0)))) @ (cartprod @ X45 @ X46))|~(in @ (X47 @ (esk2_3 @ X45 @ X46 @ X47)) @ X46))&(((in @ (esk3_4 @ X45 @ X46 @ X47 @ X49) @ (dsetconstr @ X46 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X49 @ Z0) @ (dpsetconstr @ X45 @ X46 @ (^[Z1/* 3 */:$i]:($eq @ (X47 @ Z1)))))))))|~(in @ X49 @ X45)|~(in @ (X47 @ (esk2_3 @ X45 @ X46 @ X47)) @ X46))&(((dsetconstr @ X46 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X49 @ Z0) @ (dpsetconstr @ X45 @ X46 @ (^[Z1/* 3 */:$i]:($eq @ (X47 @ Z1))))))))=(setadjoin @ (esk3_4 @ X45 @ X46 @ X47 @ X49) @ emptyset))|~(in @ X49 @ X45)|~(in @ (X47 @ (esk2_3 @ X45 @ X46 @ X47)) @ X46)))))&((~(in @ X54 @ esk4_0)|(in @ (esk6_0 @ X54) @ esk5_0))&~(in @ (dpsetconstr @ esk4_0 @ esk5_0 @ (^[Z0/* 3 */:$i]:($eq @ (esk6_0 @ Z0)))) @ (funcSet @ esk4_0 @ esk5_0)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])])). 0.20/0.53 thf(c_0_20, negated_conjecture, ![X4:$i, X9:$i > $i, X2:$i, X1:$i]:((((dsetconstr @ X1 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ (dpsetconstr @ X4 @ X1 @ (^[Z1/* 3 */:$i]:($eq @ (X9 @ Z1))))))))=(setadjoin @ (esk3_4 @ X4 @ X1 @ X9 @ X2) @ emptyset))|~((in @ X2 @ X4))|~((in @ (X9 @ (esk2_3 @ X4 @ X1 @ X9)) @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.20/0.53 thf(c_0_21, negated_conjecture, ![X1:$i]:(((in @ (esk6_0 @ X1) @ esk5_0)|~((in @ X1 @ esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.20/0.53 thf(c_0_22, negated_conjecture, ![X1:$i, X4:$i, X9:$i > $i, X2:$i]:(((in @ (esk3_4 @ X1 @ X2 @ X9 @ X4) @ (dsetconstr @ X2 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X4 @ Z0) @ (dpsetconstr @ X1 @ X2 @ (^[Z1/* 3 */:$i]:($eq @ (X9 @ Z1)))))))))|~((in @ X4 @ X1))|~((in @ (X9 @ (esk2_3 @ X1 @ X2 @ X9)) @ X2)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.20/0.53 thf(c_0_23, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:(((in @ X5 @ (funcSet @ X4 @ X2))|~((in @ X1 @ (dsetconstr @ X2 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk1_3 @ X4 @ X2 @ X5) @ Z0) @ X5))))))|((dsetconstr @ X2 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk1_3 @ X4 @ X2 @ X5) @ Z0) @ X5))))!=(setadjoin @ X1 @ emptyset))|~((subset @ X5 @ (cartprod @ X4 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.20/0.53 thf(c_0_24, negated_conjecture, ![X1:$i, X2:$i, X9:$i > $i, X4:$i]:((((dsetconstr @ X1 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ (dpsetconstr @ X4 @ X1 @ (^[Z1/* 3 */:$i]:($eq @ (X9 @ Z1))))))))=(setadjoin @ (esk3_4 @ X4 @ X1 @ X9 @ X2) @ emptyset))|(in @ (esk2_3 @ X4 @ X1 @ X9) @ X4)|~((in @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.20/0.53 thf(c_0_25, negated_conjecture, ![X2:$i, X9:$i > $i, X4:$i, X1:$i]:(((in @ (esk3_4 @ X1 @ X2 @ X9 @ X4) @ (dsetconstr @ X2 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X4 @ Z0) @ (dpsetconstr @ X1 @ X2 @ (^[Z1/* 3 */:$i]:($eq @ (X9 @ Z1)))))))))|(in @ (esk2_3 @ X1 @ X2 @ X9) @ X1)|~((in @ X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.20/0.53 thf(c_0_26, negated_conjecture, ![X1:$i, X2:$i]:((((dsetconstr @ esk5_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1 @ Z0) @ (dpsetconstr @ X2 @ esk5_0 @ (^[Z1/* 3 */:$i]:($eq @ (esk6_0 @ Z1))))))))=(setadjoin @ (esk3_4 @ X2 @ esk5_0 @ esk6_0 @ X1) @ emptyset))|~((in @ (esk2_3 @ X2 @ esk5_0 @ esk6_0) @ esk4_0))|~((in @ X1 @ X2)))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.20/0.53 thf(c_0_27, negated_conjecture, ![X2:$i, X1:$i]:(((in @ (esk3_4 @ X1 @ esk5_0 @ esk6_0 @ X2) @ (dsetconstr @ esk5_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X2 @ Z0) @ (dpsetconstr @ X1 @ esk5_0 @ (^[Z1/* 3 */:$i]:($eq @ (esk6_0 @ Z1)))))))))|~((in @ (esk2_3 @ X1 @ esk5_0 @ esk6_0) @ esk4_0))|~((in @ X2 @ X1)))), inference(spm,[status(thm)],[c_0_22, c_0_21])). 0.20/0.53 thf(c_0_28, negated_conjecture, ![X1:$i, X5:$i, X9:$i > $i, X4:$i, X2:$i]:(((in @ (dpsetconstr @ X1 @ X2 @ (^[Z0/* 3 */:$i]:($eq @ (X9 @ Z0)))) @ (funcSet @ X4 @ X2))|(in @ (esk2_3 @ X1 @ X2 @ X9) @ X1)|((setadjoin @ (esk3_4 @ X1 @ X2 @ X9 @ (esk1_3 @ X4 @ X2 @ (dpsetconstr @ X1 @ X2 @ (^[Z0/* 3 */:$i]:($eq @ (X9 @ Z0)))))) @ emptyset)!=(setadjoin @ X5 @ emptyset))|~((in @ X5 @ (setadjoin @ (esk3_4 @ X1 @ X2 @ X9 @ (esk1_3 @ X4 @ X2 @ (dpsetconstr @ X1 @ X2 @ (^[Z0/* 3 */:$i]:($eq @ (X9 @ Z0)))))) @ emptyset)))|~((in @ (esk1_3 @ X4 @ X2 @ (dpsetconstr @ X1 @ X2 @ (^[Z0/* 3 */:$i]:($eq @ (X9 @ Z0))))) @ X1))|~((subset @ (dpsetconstr @ X1 @ X2 @ (^[Z0/* 3 */:$i]:($eq @ (X9 @ Z0)))) @ (cartprod @ X4 @ X2))))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.20/0.53 thf(c_0_29, negated_conjecture, ![X2:$i, X9:$i > $i, X4:$i, X1:$i]:(((in @ (esk3_4 @ X1 @ X2 @ X9 @ X4) @ (setadjoin @ (esk3_4 @ X1 @ X2 @ X9 @ X4) @ emptyset))|(in @ (esk2_3 @ X1 @ X2 @ X9) @ X1)|~((in @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_25, c_0_24])). 0.20/0.53 thf(c_0_30, negated_conjecture, ![X4:$i, X2:$i, X1:$i]:(((in @ (dpsetconstr @ X1 @ esk5_0 @ (^[Z0/* 3 */:$i]:($eq @ (esk6_0 @ Z0)))) @ (funcSet @ X2 @ esk5_0))|((setadjoin @ (esk3_4 @ X1 @ esk5_0 @ esk6_0 @ (esk1_3 @ X2 @ esk5_0 @ (dpsetconstr @ X1 @ esk5_0 @ (^[Z0/* 3 */:$i]:($eq @ (esk6_0 @ Z0)))))) @ emptyset)!=(setadjoin @ X4 @ emptyset))|~((in @ X4 @ (setadjoin @ (esk3_4 @ X1 @ esk5_0 @ esk6_0 @ (esk1_3 @ X2 @ esk5_0 @ (dpsetconstr @ X1 @ esk5_0 @ (^[Z0/* 3 */:$i]:($eq @ (esk6_0 @ Z0)))))) @ emptyset)))|~((in @ (esk1_3 @ X2 @ esk5_0 @ (dpsetconstr @ X1 @ esk5_0 @ (^[Z0/* 3 */:$i]:($eq @ (esk6_0 @ Z0))))) @ X1))|~((subset @ (dpsetconstr @ X1 @ esk5_0 @ (^[Z0/* 3 */:$i]:($eq @ (esk6_0 @ Z0)))) @ (cartprod @ X2 @ esk5_0)))|~((in @ (esk2_3 @ X1 @ esk5_0 @ esk6_0) @ esk4_0)))), inference(spm,[status(thm)],[c_0_23, c_0_26])). 0.20/0.53 thf(c_0_31, negated_conjecture, ![X2:$i, X1:$i]:(((in @ (esk3_4 @ X1 @ esk5_0 @ esk6_0 @ X2) @ (setadjoin @ (esk3_4 @ X1 @ esk5_0 @ esk6_0 @ X2) @ emptyset))|~((in @ (esk2_3 @ X1 @ esk5_0 @ esk6_0) @ esk4_0))|~((in @ X2 @ X1)))), inference(spm,[status(thm)],[c_0_27, c_0_26])). 0.20/0.53 thf(c_0_32, negated_conjecture, ![X1:$i, X9:$i > $i, X2:$i]:(((subset @ (dpsetconstr @ X1 @ X2 @ (^[Z0/* 3 */:$i]:($eq @ (X9 @ Z0)))) @ (cartprod @ X1 @ X2))|~((in @ (X9 @ (esk2_3 @ X1 @ X2 @ X9)) @ X2)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.20/0.53 thf(c_0_33, negated_conjecture, ![X1:$i, X9:$i > $i, X4:$i, X2:$i]:(((in @ (dpsetconstr @ X1 @ X2 @ (^[Z0/* 3 */:$i]:($eq @ (X9 @ Z0)))) @ (funcSet @ X4 @ X2))|(in @ (esk2_3 @ X1 @ X2 @ X9) @ X1)|~((in @ (esk1_3 @ X4 @ X2 @ (dpsetconstr @ X1 @ X2 @ (^[Z0/* 3 */:$i]:($eq @ (X9 @ Z0))))) @ X1))|~((subset @ (dpsetconstr @ X1 @ X2 @ (^[Z0/* 3 */:$i]:($eq @ (X9 @ Z0)))) @ (cartprod @ X4 @ X2))))), inference(spm,[status(thm)],[c_0_28, c_0_29])). 0.20/0.53 thf(c_0_34, negated_conjecture, ![X1:$i, X4:$i, X2:$i]:(((in @ (esk1_3 @ X1 @ X2 @ X4) @ X1)|(in @ X4 @ (funcSet @ X1 @ X2))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.20/0.53 thf(c_0_35, negated_conjecture, ![X9:$i > $i, X2:$i, X1:$i]:(((subset @ (dpsetconstr @ X1 @ X2 @ (^[Z0/* 3 */:$i]:($eq @ (X9 @ Z0)))) @ (cartprod @ X1 @ X2))|(in @ (esk2_3 @ X1 @ X2 @ X9) @ X1))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.20/0.53 thf(c_0_36, negated_conjecture, ![X2:$i, X1:$i]:(((in @ (dpsetconstr @ X1 @ esk5_0 @ (^[Z0/* 3 */:$i]:($eq @ (esk6_0 @ Z0)))) @ (funcSet @ X2 @ esk5_0))|~((in @ (esk1_3 @ X2 @ esk5_0 @ (dpsetconstr @ X1 @ esk5_0 @ (^[Z0/* 3 */:$i]:($eq @ (esk6_0 @ Z0))))) @ X1))|~((subset @ (dpsetconstr @ X1 @ esk5_0 @ (^[Z0/* 3 */:$i]:($eq @ (esk6_0 @ Z0)))) @ (cartprod @ X2 @ esk5_0)))|~((in @ (esk2_3 @ X1 @ esk5_0 @ esk6_0) @ esk4_0)))), inference(spm,[status(thm)],[c_0_30, c_0_31])). 0.20/0.53 thf(c_0_37, negated_conjecture, ![X1:$i]:(((subset @ (dpsetconstr @ X1 @ esk5_0 @ (^[Z0/* 3 */:$i]:($eq @ (esk6_0 @ Z0)))) @ (cartprod @ X1 @ esk5_0))|~((in @ (esk2_3 @ X1 @ esk5_0 @ esk6_0) @ esk4_0)))), inference(spm,[status(thm)],[c_0_32, c_0_21])). 0.20/0.53 thf(c_0_38, negated_conjecture, ~((in @ (dpsetconstr @ esk4_0 @ esk5_0 @ (^[Z0/* 3 */:$i]:($eq @ (esk6_0 @ Z0)))) @ (funcSet @ esk4_0 @ esk5_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.20/0.53 thf(c_0_39, negated_conjecture, ![X9:$i > $i, X2:$i, X1:$i]:(((in @ (dpsetconstr @ X1 @ X2 @ (^[Z0/* 3 */:$i]:($eq @ (X9 @ Z0)))) @ (funcSet @ X1 @ X2))|(in @ (esk2_3 @ X1 @ X2 @ X9) @ X1))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35])). 0.20/0.53 thf(c_0_40, negated_conjecture, ![X1:$i]:(((in @ (dpsetconstr @ X1 @ esk5_0 @ (^[Z0/* 3 */:$i]:($eq @ (esk6_0 @ Z0)))) @ (funcSet @ X1 @ esk5_0))|~((in @ (esk2_3 @ X1 @ esk5_0 @ esk6_0) @ esk4_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_34]), c_0_37])). 0.20/0.53 thf(c_0_41, negated_conjecture, (in @ (esk2_3 @ esk4_0 @ esk5_0 @ esk6_0) @ esk4_0), inference(spm,[status(thm)],[c_0_38, c_0_39])). 0.20/0.53 thf(c_0_42, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_38]), ['proof']). 0.20/0.53 # SZS output end CNFRefutation 0.20/0.53 # Parsed axioms : 24 0.20/0.53 # Removed by relevancy pruning/SinE : 16 0.20/0.53 # Initial clauses : 10 0.20/0.53 # Removed in clause preprocessing : 0 0.20/0.53 # Initial clauses in saturation : 10 0.20/0.53 # Processed clauses : 51 0.20/0.53 # ...of these trivial : 0 0.20/0.53 # ...subsumed : 5 0.20/0.53 # ...remaining for further processing : 46 0.20/0.53 # Other redundant clauses eliminated : 15 0.20/0.53 # Clauses deleted for lack of memory : 0 0.20/0.53 # Backward-subsumed : 3 0.20/0.53 # Backward-rewritten : 0 0.20/0.53 # Generated clauses : 96 0.20/0.53 # ...of the previous two non-redundant : 78 0.20/0.53 # ...aggressively subsumed : 0 0.20/0.53 # Contextual simplify-reflections : 2 0.20/0.53 # Paramodulations : 54 0.20/0.53 # Factorizations : 0 0.20/0.53 # NegExts : 10 0.20/0.53 # Equation resolutions : 19 0.20/0.53 # Disequality decompositions : 0 0.20/0.53 # Total rewrite steps : 0 0.20/0.53 # ...of those cached : 0 0.20/0.53 # Propositional unsat checks : 0 0.20/0.53 # Propositional check models : 0 0.20/0.53 # Propositional check unsatisfiable : 0 0.20/0.53 # Propositional clauses : 0 0.20/0.53 # Propositional clauses after purity: 0 0.20/0.53 # Propositional unsat core size : 0 0.20/0.53 # Propositional preprocessing time : 0.000 0.20/0.53 # Propositional encoding time : 0.000 0.20/0.53 # Propositional solver time : 0.000 0.20/0.53 # Success case prop preproc time : 0.000 0.20/0.53 # Success case prop encoding time : 0.000 0.20/0.53 # Success case prop solver time : 0.000 0.20/0.53 # Current number of processed clauses : 33 0.20/0.53 # Positive orientable unit clauses : 1 0.20/0.53 # Positive unorientable unit clauses: 0 0.20/0.53 # Negative unit clauses : 1 0.20/0.53 # Non-unit-clauses : 31 0.20/0.53 # Current number of unprocessed clauses: 46 0.20/0.53 # ...number of literals in the above : 286 0.20/0.53 # Current number of archived formulas : 0 0.20/0.53 # Current number of archived clauses : 13 0.20/0.53 # Clause-clause subsumption calls (NU) : 311 0.20/0.53 # Rec. Clause-clause subsumption calls : 95 0.20/0.53 # Non-unit clause-clause subsumptions : 10 0.20/0.53 # Unit Clause-clause subsumption calls : 4 0.20/0.53 # Rewrite failures with RHS unbound : 0 0.20/0.53 # BW rewrite match attempts : 0 0.20/0.53 # BW rewrite match successes : 0 0.20/0.53 # Condensation attempts : 0 0.20/0.53 # Condensation successes : 0 0.20/0.53 # Termbank termtop insertions : 15785 0.20/0.53 # Search garbage collected termcells : 622 0.20/0.53 0.20/0.53 # ------------------------------------------------- 0.20/0.53 # User time : 0.022 s 0.20/0.53 # System time : 0.004 s 0.20/0.53 # Total time : 0.026 s 0.20/0.53 # Maximum resident set size: 2052 pages 0.20/0.53 0.20/0.53 # ------------------------------------------------- 0.20/0.53 # User time : 0.023 s 0.20/0.53 # System time : 0.006 s 0.20/0.53 # Total time : 0.030 s 0.20/0.53 # Maximum resident set size: 1752 pages 0.20/0.53 % E exiting 0.20/0.53 % E exiting 0.20/0.53 EOF