0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n028.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 04:10:19 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.45 Running higher-order theorem proving 0.19/0.46 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.9boiJ5C2AX/E---3.1_27835.p 1.64/0.66 # Version: 3.0.0-ho 1.64/0.66 # Preprocessing class: HSSSSLSSSLMNHFN. 1.64/0.66 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.64/0.66 # Starting ho_unfolding_6 with 1200s (5) cores 1.64/0.66 # Starting ehoh_best_sine_rwall with 240s (1) cores 1.64/0.66 # Starting pre_casc_5 with 240s (1) cores 1.64/0.66 # Starting ehoh_best_sine with 240s (1) cores 1.64/0.66 # ho_unfolding_6 with pid 27913 completed with status 0 1.64/0.66 # Result found by ho_unfolding_6 1.64/0.66 # Preprocessing class: HSSSSLSSSLMNHFN. 1.64/0.66 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.64/0.66 # Starting ho_unfolding_6 with 1200s (5) cores 1.64/0.66 # No SInE strategy applied 1.64/0.66 # Search class: HGUSF-FFMF32-MHFFMFNN 1.64/0.66 # partial match(1): HGUSF-FFSF32-MHFFMFNN 1.64/0.66 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 1.64/0.66 # Starting new_ho_10 with 649s (1) cores 1.64/0.66 # Starting ho_unfolding_6 with 121s (1) cores 1.64/0.66 # Starting new_bool_1 with 109s (1) cores 1.64/0.66 # Starting new_bool_2 with 109s (1) cores 1.64/0.66 # Starting new_bool_9 with 109s (1) cores 1.64/0.66 # ho_unfolding_6 with pid 27919 completed with status 0 1.64/0.66 # Result found by ho_unfolding_6 1.64/0.66 # Preprocessing class: HSSSSLSSSLMNHFN. 1.64/0.66 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.64/0.66 # Starting ho_unfolding_6 with 1200s (5) cores 1.64/0.66 # No SInE strategy applied 1.64/0.66 # Search class: HGUSF-FFMF32-MHFFMFNN 1.64/0.66 # partial match(1): HGUSF-FFSF32-MHFFMFNN 1.64/0.66 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 1.64/0.66 # Starting new_ho_10 with 649s (1) cores 1.64/0.66 # Starting ho_unfolding_6 with 121s (1) cores 1.64/0.66 # Preprocessing time : 0.001 s 1.64/0.66 1.64/0.66 # Proof found! 1.64/0.66 # SZS status Theorem 1.64/0.66 # SZS output start CNFRefutation 1.64/0.66 thf(decl_23, type, in: $i > $i > $o). 1.64/0.66 thf(decl_24, type, emptyset: $i). 1.64/0.66 thf(decl_25, type, setadjoin: $i > $i > $i). 1.64/0.66 thf(decl_26, type, dsetconstr: $i > ($i > $o) > $i). 1.64/0.66 thf(decl_27, type, subset: $i > $i > $o). 1.64/0.66 thf(decl_28, type, kpair: $i > $i > $i). 1.64/0.66 thf(decl_29, type, cartprod: $i > $i > $i). 1.64/0.66 thf(decl_30, type, singleton: $i > $o). 1.64/0.66 thf(decl_31, type, ex1: $i > ($i > $o) > $o). 1.64/0.66 thf(decl_32, type, breln: $i > $i > $i > $o). 1.64/0.66 thf(decl_33, type, func: $i > $i > $i > $o). 1.64/0.66 thf(decl_34, type, ap: $i > $i > $i > $i > $i). 1.64/0.66 thf(decl_35, type, funcGraphProp1: $o). 1.64/0.66 thf(decl_36, type, funcGraphProp2: $o). 1.64/0.66 thf(decl_37, type, eqbreln: $o). 1.64/0.66 thf(decl_38, type, esk1_3: $i > $i > $i > $i). 1.64/0.66 thf(decl_39, type, esk2_3: $i > $i > $i > $i). 1.64/0.66 thf(decl_40, type, esk3_4: $i > $i > $i > $i > $i). 1.64/0.66 thf(decl_41, type, esk4_4: $i > $i > $i > $i > $i). 1.64/0.66 thf(decl_42, type, esk5_4: $i > $i > $i > $i > $i). 1.64/0.66 thf(decl_43, type, esk6_4: $i > $i > $i > $i > $i). 1.64/0.66 thf(decl_44, type, esk7_0: $i). 1.64/0.66 thf(decl_45, type, esk8_0: $i). 1.64/0.66 thf(decl_46, type, esk9_0: $i). 1.64/0.66 thf(decl_47, type, esk10_1: $i > $i). 1.64/0.66 thf(decl_48, type, esk11_0: $i). 1.64/0.66 thf(decl_49, type, esk12_1: $i > $i). 1.64/0.66 thf(ex1, axiom, ((ex1)=(^[X1:$i, X3:$i > $o]:((singleton @ (dsetconstr @ X1 @ (^[X2:$i]:((X3 @ X2)))))))), file('/export/starexec/sandbox/tmp/tmp.9boiJ5C2AX/E---3.1_27835.p', ex1)). 1.64/0.66 thf(singleton, axiom, ((singleton)=(^[X1:$i]:(?[X2:$i]:(((in @ X2 @ X1)&((X1)=(setadjoin @ X2 @ emptyset))))))), file('/export/starexec/sandbox/tmp/tmp.9boiJ5C2AX/E---3.1_27835.p', singleton)). 1.64/0.66 thf(func, axiom, ((func)=(^[X1:$i, X4:$i, X6:$i]:(((breln @ X1 @ X4 @ X6)&![X2:$i]:(((in @ X2 @ X1)=>(ex1 @ X4 @ (^[X7:$i]:((in @ (kpair @ X2 @ X7) @ X6)))))))))), file('/export/starexec/sandbox/tmp/tmp.9boiJ5C2AX/E---3.1_27835.p', func)). 1.64/0.66 thf(breln, axiom, ((breln)=(^[X1:$i, X4:$i, X5:$i]:((subset @ X5 @ (cartprod @ X1 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.9boiJ5C2AX/E---3.1_27835.p', breln)). 1.64/0.66 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/sandbox/tmp/tmp.9boiJ5C2AX/E---3.1_27835.p', funcGraphProp1)). 1.64/0.66 thf(funcGraphProp2, axiom, ((funcGraphProp2)<=>![X1:$i, X4:$i, X8:$i]:(((func @ X1 @ X4 @ X8)=>![X2:$i]:(((in @ X2 @ X1)=>![X7:$i]:(((in @ X7 @ X4)=>((in @ (kpair @ X2 @ X7) @ X8)=>((ap @ X1 @ X4 @ X8 @ X2)=(X7)))))))))), file('/export/starexec/sandbox/tmp/tmp.9boiJ5C2AX/E---3.1_27835.p', funcGraphProp2)). 1.64/0.66 thf(eqbreln, axiom, ((eqbreln)<=>![X1:$i, X4:$i, X6:$i]:(((breln @ X1 @ X4 @ X6)=>![X9:$i]:(((breln @ X1 @ X4 @ X9)=>(![X2:$i]:(((in @ X2 @ X1)=>![X7:$i]:(((in @ X7 @ X4)=>((in @ (kpair @ X2 @ X7) @ X6)=>(in @ (kpair @ X2 @ X7) @ X9))))))=>(![X2:$i]:(((in @ X2 @ X1)=>![X7:$i]:(((in @ X7 @ X4)=>((in @ (kpair @ X2 @ X7) @ X9)=>(in @ (kpair @ X2 @ X7) @ X6))))))=>((X6)=(X9))))))))), file('/export/starexec/sandbox/tmp/tmp.9boiJ5C2AX/E---3.1_27835.p', eqbreln)). 1.64/0.66 thf(funcext, conjecture, ((funcGraphProp1)=>((funcGraphProp2)=>((eqbreln)=>![X1:$i, X4:$i, X8:$i]:((![X10:$i]:(((![X2:$i]:(((in @ X2 @ X1)=>((ap @ X1 @ X4 @ X8 @ X2)=(ap @ X1 @ X4 @ X10 @ X2))))=>((X8)=(X10)))<=(func @ X1 @ X4 @ X10)))<=(func @ X1 @ X4 @ X8)))))), file('/export/starexec/sandbox/tmp/tmp.9boiJ5C2AX/E---3.1_27835.p', funcext)). 1.64/0.66 thf(c_0_8, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X33:$i]:(((in @ X33 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X33 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[ex1])). 1.64/0.66 thf(c_0_9, plain, ((singleton)=(^[Z0/* 5 */:$i]:(?[X2:$i]:(((in @ X2 @ Z0)&((Z0)=(setadjoin @ X2 @ emptyset))))))), inference(fof_simplification,[status(thm)],[singleton])). 1.64/0.66 thf(c_0_10, plain, ((func)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((subset @ Z2 @ (cartprod @ Z0 @ Z1)))&![X2:$i]:(((in @ X2 @ Z0)=>(?[X34:$i]:(((in @ X34 @ (dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2))))))&((dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X34 @ emptyset))))))))))), inference(fof_simplification,[status(thm)],[func])). 1.64/0.66 thf(c_0_11, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((?[X33:$i]:(((in @ X33 @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))&((dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2))))=(setadjoin @ X33 @ emptyset)))))))), inference(apply_def,[status(thm)],[c_0_8, c_0_9])). 1.64/0.66 thf(c_0_12, plain, ((breln)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((subset @ Z2 @ (cartprod @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[breln])). 1.64/0.66 thf(c_0_13, plain, ((func)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((subset @ Z2 @ (cartprod @ Z0 @ Z1)))&![X2:$i]:(((in @ X2 @ Z0)=>(?[X34:$i]:(((in @ X34 @ (dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2))))))&((dsetconstr @ Z1 @ (^[Z3/* 3 */:$i]:(((in @ (kpair @ X2 @ Z3) @ Z2)))))=(setadjoin @ X34 @ emptyset))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_10, c_0_11]), c_0_12])). 1.64/0.66 thf(c_0_14, axiom, ((funcGraphProp1)=(![X1:$i, X4:$i, X8:$i]:((((((subset @ X8 @ (cartprod @ X1 @ X4)))&![X35:$i]:(((in @ X35 @ X1)=>(?[X36:$i]:(((in @ X36 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X35 @ Z0) @ X8))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X35 @ Z0) @ X8)))))=(setadjoin @ X36 @ emptyset)))))))))=>![X2:$i]:(((in @ X2 @ X1)=>(in @ (kpair @ X2 @ (ap @ X1 @ X4 @ X8 @ X2)) @ X8))))))), inference(apply_def,[status(thm)],[funcGraphProp1, c_0_13])). 1.64/0.66 thf(c_0_15, axiom, ((funcGraphProp2)=(![X1:$i, X4:$i, X8:$i]:((((((subset @ X8 @ (cartprod @ X1 @ X4)))&![X37:$i]:(((in @ X37 @ X1)=>(?[X38:$i]:(((in @ X38 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X37 @ Z0) @ X8))))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:(((in @ (kpair @ X37 @ Z0) @ X8)))))=(setadjoin @ X38 @ emptyset)))))))))=>![X2:$i]:(((in @ X2 @ X1)=>![X7:$i]:(((in @ X7 @ X4)=>((in @ (kpair @ X2 @ X7) @ X8)=>((ap @ X1 @ X4 @ X8 @ X2)=(X7))))))))))), inference(apply_def,[status(thm)],[funcGraphProp2, c_0_13])). 1.64/0.66 thf(c_0_16, axiom, ((eqbreln)=(![X1:$i, X4:$i, X6:$i]:((((subset @ X6 @ (cartprod @ X1 @ X4)))=>![X9:$i]:((((subset @ X9 @ (cartprod @ X1 @ X4)))=>(![X2:$i]:(((in @ X2 @ X1)=>![X7:$i]:(((in @ X7 @ X4)=>((in @ (kpair @ X2 @ X7) @ X6)=>(in @ (kpair @ X2 @ X7) @ X9))))))=>(![X2:$i]:(((in @ X2 @ X1)=>![X7:$i]:(((in @ X7 @ X4)=>((in @ (kpair @ X2 @ X7) @ X9)=>(in @ (kpair @ X2 @ X7) @ X6))))))=>((X6)=(X9)))))))))), inference(apply_def,[status(thm)],[eqbreln, c_0_12])). 1.64/0.66 thf(c_0_17, negated_conjecture, ~((![X39:$i, X40:$i, X41:$i]:((((subset @ X41 @ (cartprod @ X39 @ X40))&![X42:$i]:(((in @ X42 @ X39)=>?[X43:$i]:(((in @ X43 @ (dsetconstr @ X40 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X42 @ Z0) @ X41)))))&((dsetconstr @ X40 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X42 @ Z0) @ X41))))=(setadjoin @ X43 @ emptyset)))))))=>![X44:$i]:(((in @ X44 @ X39)=>(in @ (kpair @ X44 @ (ap @ X39 @ X40 @ X41 @ X44)) @ X41)))))=>(![X45:$i, X46:$i, X47:$i]:((((subset @ X47 @ (cartprod @ X45 @ X46))&![X48:$i]:(((in @ X48 @ X45)=>?[X49:$i]:(((in @ X49 @ (dsetconstr @ X46 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X48 @ Z0) @ X47)))))&((dsetconstr @ X46 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X48 @ Z0) @ X47))))=(setadjoin @ X49 @ emptyset)))))))=>![X50:$i]:(((in @ X50 @ X45)=>![X51:$i]:(((in @ X51 @ X46)=>((in @ (kpair @ X50 @ X51) @ X47)=>((ap @ X45 @ X46 @ X47 @ X50)=(X51)))))))))=>(![X52:$i, X53:$i, X54:$i]:(((subset @ X54 @ (cartprod @ X52 @ X53))=>![X55:$i]:(((subset @ X55 @ (cartprod @ X52 @ X53))=>(![X56:$i]:(((in @ X56 @ X52)=>![X57:$i]:(((in @ X57 @ X53)=>((in @ (kpair @ X56 @ X57) @ X54)=>(in @ (kpair @ X56 @ X57) @ X55))))))=>(![X58:$i]:(((in @ X58 @ X52)=>![X59:$i]:(((in @ X59 @ X53)=>((in @ (kpair @ X58 @ X59) @ X55)=>(in @ (kpair @ X58 @ X59) @ X54))))))=>((X54)=(X55))))))))=>![X1:$i, X4:$i, X8:$i]:((((subset @ X8 @ (cartprod @ X1 @ X4))&![X62:$i]:(((in @ X62 @ X1)=>?[X63:$i]:(((in @ X63 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X62 @ Z0) @ X8)))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X62 @ Z0) @ X8))))=(setadjoin @ X63 @ emptyset)))))))=>![X10:$i]:((((subset @ X10 @ (cartprod @ X1 @ X4))&![X60:$i]:(((in @ X60 @ X1)=>?[X61:$i]:(((in @ X61 @ (dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X60 @ Z0) @ X10)))))&((dsetconstr @ X4 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X60 @ Z0) @ X10))))=(setadjoin @ X61 @ emptyset)))))))=>(![X2:$i]:(((in @ X2 @ X1)=>((ap @ X1 @ X4 @ X8 @ X2)=(ap @ X1 @ X4 @ X10 @ X2))))=>((X8)=(X10))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[funcext]), c_0_13]), c_0_14]), c_0_15]), c_0_16])])). 1.64/0.66 thf(c_0_18, negated_conjecture, ![X64:$i, X65:$i, X66:$i, X68:$i, X69:$i, X70:$i, X71:$i, X72:$i, X74:$i, X75:$i, X76:$i, X77:$i, X78:$i, X79:$i, X80:$i, X88:$i, X91:$i, X93:$i]:(((((in @ (esk1_3 @ X64 @ X65 @ X66) @ X64)|~(subset @ X66 @ (cartprod @ X64 @ X65))|(~(in @ X69 @ X64)|(in @ (kpair @ X69 @ (ap @ X64 @ X65 @ X66 @ X69)) @ X66)))&(~(in @ X68 @ (dsetconstr @ X65 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk1_3 @ X64 @ X65 @ X66) @ Z0) @ X66)))))|((dsetconstr @ X65 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk1_3 @ X64 @ X65 @ X66) @ Z0) @ X66))))!=(setadjoin @ X68 @ emptyset))|~(subset @ X66 @ (cartprod @ X64 @ X65))|(~(in @ X69 @ X64)|(in @ (kpair @ X69 @ (ap @ X64 @ X65 @ X66 @ X69)) @ X66))))&((((in @ (esk2_3 @ X70 @ X71 @ X72) @ X70)|~(subset @ X72 @ (cartprod @ X70 @ X71))|(~(in @ X75 @ X70)|(~(in @ X76 @ X71)|(~(in @ (kpair @ X75 @ X76) @ X72)|((ap @ X70 @ X71 @ X72 @ X75)=(X76))))))&(~(in @ X74 @ (dsetconstr @ X71 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk2_3 @ X70 @ X71 @ X72) @ Z0) @ X72)))))|((dsetconstr @ X71 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk2_3 @ X70 @ X71 @ X72) @ Z0) @ X72))))!=(setadjoin @ X74 @ emptyset))|~(subset @ X72 @ (cartprod @ X70 @ X71))|(~(in @ X75 @ X70)|(~(in @ X76 @ X71)|(~(in @ (kpair @ X75 @ X76) @ X72)|((ap @ X70 @ X71 @ X72 @ X75)=(X76)))))))&(((((in @ (esk5_4 @ X77 @ X78 @ X79 @ X80) @ X77)|((X79)=(X80))|(in @ (esk3_4 @ X77 @ X78 @ X79 @ X80) @ X77)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78)))&(((in @ (esk6_4 @ X77 @ X78 @ X79 @ X80) @ X78)|((X79)=(X80))|(in @ (esk3_4 @ X77 @ X78 @ X79 @ X80) @ X77)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78)))&(((in @ (kpair @ (esk5_4 @ X77 @ X78 @ X79 @ X80) @ (esk6_4 @ X77 @ X78 @ X79 @ X80)) @ X80)|((X79)=(X80))|(in @ (esk3_4 @ X77 @ X78 @ X79 @ X80) @ X77)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78)))&(~(in @ (kpair @ (esk5_4 @ X77 @ X78 @ X79 @ X80) @ (esk6_4 @ X77 @ X78 @ X79 @ X80)) @ X79)|((X79)=(X80))|(in @ (esk3_4 @ X77 @ X78 @ X79 @ X80) @ X77)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78))))))&((((in @ (esk5_4 @ X77 @ X78 @ X79 @ X80) @ X77)|((X79)=(X80))|(in @ (esk4_4 @ X77 @ X78 @ X79 @ X80) @ X78)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78)))&(((in @ (esk6_4 @ X77 @ X78 @ X79 @ X80) @ X78)|((X79)=(X80))|(in @ (esk4_4 @ X77 @ X78 @ X79 @ X80) @ X78)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78)))&(((in @ (kpair @ (esk5_4 @ X77 @ X78 @ X79 @ X80) @ (esk6_4 @ X77 @ X78 @ X79 @ X80)) @ X80)|((X79)=(X80))|(in @ (esk4_4 @ X77 @ X78 @ X79 @ X80) @ X78)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78)))&(~(in @ (kpair @ (esk5_4 @ X77 @ X78 @ X79 @ X80) @ (esk6_4 @ X77 @ X78 @ X79 @ X80)) @ X79)|((X79)=(X80))|(in @ (esk4_4 @ X77 @ X78 @ X79 @ X80) @ X78)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78))))))&((((in @ (esk5_4 @ X77 @ X78 @ X79 @ X80) @ X77)|((X79)=(X80))|(in @ (kpair @ (esk3_4 @ X77 @ X78 @ X79 @ X80) @ (esk4_4 @ X77 @ X78 @ X79 @ X80)) @ X79)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78)))&(((in @ (esk6_4 @ X77 @ X78 @ X79 @ X80) @ X78)|((X79)=(X80))|(in @ (kpair @ (esk3_4 @ X77 @ X78 @ X79 @ X80) @ (esk4_4 @ X77 @ X78 @ X79 @ X80)) @ X79)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78)))&(((in @ (kpair @ (esk5_4 @ X77 @ X78 @ X79 @ X80) @ (esk6_4 @ X77 @ X78 @ X79 @ X80)) @ X80)|((X79)=(X80))|(in @ (kpair @ (esk3_4 @ X77 @ X78 @ X79 @ X80) @ (esk4_4 @ X77 @ X78 @ X79 @ X80)) @ X79)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78)))&(~(in @ (kpair @ (esk5_4 @ X77 @ X78 @ X79 @ X80) @ (esk6_4 @ X77 @ X78 @ X79 @ X80)) @ X79)|((X79)=(X80))|(in @ (kpair @ (esk3_4 @ X77 @ X78 @ X79 @ X80) @ (esk4_4 @ X77 @ X78 @ X79 @ X80)) @ X79)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78))))))&(((in @ (esk5_4 @ X77 @ X78 @ X79 @ X80) @ X77)|((X79)=(X80))|~(in @ (kpair @ (esk3_4 @ X77 @ X78 @ X79 @ X80) @ (esk4_4 @ X77 @ X78 @ X79 @ X80)) @ X80)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78)))&(((in @ (esk6_4 @ X77 @ X78 @ X79 @ X80) @ X78)|((X79)=(X80))|~(in @ (kpair @ (esk3_4 @ X77 @ X78 @ X79 @ X80) @ (esk4_4 @ X77 @ X78 @ X79 @ X80)) @ X80)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78)))&(((in @ (kpair @ (esk5_4 @ X77 @ X78 @ X79 @ X80) @ (esk6_4 @ X77 @ X78 @ X79 @ X80)) @ X80)|((X79)=(X80))|~(in @ (kpair @ (esk3_4 @ X77 @ X78 @ X79 @ X80) @ (esk4_4 @ X77 @ X78 @ X79 @ X80)) @ X80)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78)))&(~(in @ (kpair @ (esk5_4 @ X77 @ X78 @ X79 @ X80) @ (esk6_4 @ X77 @ X78 @ X79 @ X80)) @ X79)|((X79)=(X80))|~(in @ (kpair @ (esk3_4 @ X77 @ X78 @ X79 @ X80) @ (esk4_4 @ X77 @ X78 @ X79 @ X80)) @ X80)|~(subset @ X80 @ (cartprod @ X77 @ X78))|~(subset @ X79 @ (cartprod @ X77 @ X78)))))))))&(((subset @ esk9_0 @ (cartprod @ esk7_0 @ esk8_0))&(((in @ (esk10_1 @ X88) @ (dsetconstr @ esk8_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X88 @ Z0) @ esk9_0)))))|~(in @ X88 @ esk7_0))&(((dsetconstr @ esk8_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X88 @ Z0) @ esk9_0))))=(setadjoin @ (esk10_1 @ X88) @ emptyset))|~(in @ X88 @ esk7_0))))&(((subset @ esk11_0 @ (cartprod @ esk7_0 @ esk8_0))&(((in @ (esk12_1 @ X91) @ (dsetconstr @ esk8_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X91 @ Z0) @ esk11_0)))))|~(in @ X91 @ esk7_0))&(((dsetconstr @ esk8_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X91 @ Z0) @ esk11_0))))=(setadjoin @ (esk12_1 @ X91) @ emptyset))|~(in @ X91 @ esk7_0))))&((~(in @ X93 @ esk7_0)|((ap @ esk7_0 @ esk8_0 @ esk9_0 @ X93)=(ap @ esk7_0 @ esk8_0 @ esk11_0 @ X93)))&((esk9_0)!=(esk11_0))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])])). 1.64/0.66 thf(c_0_19, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:(((in @ (kpair @ (esk5_4 @ X1 @ X2 @ X4 @ X5) @ (esk6_4 @ X1 @ X2 @ X4 @ X5)) @ X5)|((X4)=(X5))|(in @ (esk3_4 @ X1 @ X2 @ X4 @ X5) @ X1)|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_20, negated_conjecture, (subset @ esk11_0 @ (cartprod @ esk7_0 @ esk8_0)), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_21, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:(((in @ (esk5_4 @ X1 @ X2 @ X4 @ X5) @ X1)|((X4)=(X5))|(in @ (esk3_4 @ X1 @ X2 @ X4 @ X5) @ X1)|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_22, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:(((in @ (esk6_4 @ X1 @ X2 @ X4 @ X5) @ X2)|((X4)=(X5))|(in @ (esk3_4 @ X1 @ X2 @ X4 @ X5) @ X1)|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_23, negated_conjecture, ![X1:$i, X2:$i, X5:$i, X6:$i, X4:$i]:(((in @ (kpair @ X6 @ (ap @ X4 @ X2 @ X5 @ X6)) @ X5)|~((in @ X1 @ (dsetconstr @ X2 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk1_3 @ X4 @ X2 @ X5) @ Z0) @ X5))))))|((dsetconstr @ X2 @ (^[Z0/* 3 */:$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_18])). 1.64/0.66 thf(c_0_24, negated_conjecture, ![X1:$i]:(((in @ (esk10_1 @ X1) @ (dsetconstr @ esk8_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1 @ Z0) @ esk9_0)))))|~((in @ X1 @ esk7_0)))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_25, negated_conjecture, ![X1:$i]:((((dsetconstr @ esk8_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1 @ Z0) @ esk9_0))))=(setadjoin @ (esk10_1 @ X1) @ emptyset))|~((in @ X1 @ esk7_0)))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_26, negated_conjecture, ![X2:$i, X5:$i, X4:$i, X1:$i]:(((in @ (esk1_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_18])). 1.64/0.66 thf(c_0_27, negated_conjecture, ![X1:$i]:((((ap @ esk7_0 @ esk8_0 @ esk9_0 @ X1)=(ap @ esk7_0 @ esk8_0 @ esk11_0 @ X1))|~((in @ X1 @ esk7_0)))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_28, negated_conjecture, (subset @ esk9_0 @ (cartprod @ esk7_0 @ esk8_0)), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_29, negated_conjecture, ![X1:$i, X2:$i, X6:$i, X5:$i, X4:$i]:(((in @ (esk2_3 @ X1 @ X2 @ X4) @ X1)|((ap @ X1 @ X2 @ X4 @ X5)=(X6))|~((subset @ X4 @ (cartprod @ X1 @ X2)))|~((in @ X5 @ X1))|~((in @ X6 @ X2))|~((in @ (kpair @ X5 @ X6) @ X4)))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_30, negated_conjecture, ![X1:$i]:((((X1)=(esk11_0))|(in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0)) @ esk11_0)|(in @ (esk3_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ esk7_0)|~((subset @ X1 @ (cartprod @ esk7_0 @ esk8_0))))), inference(spm,[status(thm)],[c_0_19, c_0_20])). 1.64/0.66 thf(c_0_31, negated_conjecture, ((esk9_0)!=(esk11_0)), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_32, negated_conjecture, ![X1:$i]:((((X1)=(esk11_0))|(in @ (esk3_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ esk7_0)|(in @ (esk5_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ esk7_0)|~((subset @ X1 @ (cartprod @ esk7_0 @ esk8_0))))), inference(spm,[status(thm)],[c_0_21, c_0_20])). 1.64/0.66 thf(c_0_33, negated_conjecture, ![X1:$i]:((((X1)=(esk11_0))|(in @ (esk3_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ esk7_0)|(in @ (esk6_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ esk8_0)|~((subset @ X1 @ (cartprod @ esk7_0 @ esk8_0))))), inference(spm,[status(thm)],[c_0_22, c_0_20])). 1.64/0.66 thf(c_0_34, negated_conjecture, ![X1:$i, X2:$i]:(((in @ (kpair @ X1 @ (ap @ X2 @ esk8_0 @ esk9_0 @ X1)) @ esk9_0)|~((in @ (esk1_3 @ X2 @ esk8_0 @ esk9_0) @ esk7_0))|~((subset @ esk9_0 @ (cartprod @ X2 @ esk8_0)))|~((in @ X1 @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25])). 1.64/0.66 thf(c_0_35, negated_conjecture, ![X1:$i]:(((in @ (kpair @ X1 @ (ap @ esk7_0 @ esk8_0 @ esk11_0 @ X1)) @ esk9_0)|(in @ (esk1_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)|~((in @ X1 @ esk7_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])])). 1.64/0.66 thf(c_0_36, negated_conjecture, ![X2:$i, X1:$i]:((((ap @ esk7_0 @ esk8_0 @ esk11_0 @ X1)=(X2))|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)|~((in @ (kpair @ X1 @ X2) @ esk11_0))|~((in @ X2 @ esk8_0))|~((in @ X1 @ esk7_0)))), inference(spm,[status(thm)],[c_0_29, c_0_20])). 1.64/0.66 thf(c_0_37, negated_conjecture, ((in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|(in @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_28]), c_0_31])). 1.64/0.66 thf(c_0_38, negated_conjecture, ((in @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)|(in @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_28]), c_0_31])). 1.64/0.66 thf(c_0_39, negated_conjecture, ((in @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)|(in @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_28]), c_0_31])). 1.64/0.66 thf(c_0_40, negated_conjecture, ![X1:$i]:(((in @ (kpair @ X1 @ (ap @ esk7_0 @ esk8_0 @ esk11_0 @ X1)) @ esk9_0)|~((in @ X1 @ esk7_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_27]), c_0_28])]), c_0_35])). 1.64/0.66 thf(c_0_41, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38]), c_0_39])). 1.64/0.66 thf(c_0_42, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X7:$i, X6:$i, X5:$i]:((((ap @ X4 @ X2 @ X5 @ X6)=(X7))|~((in @ X1 @ (dsetconstr @ X2 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk2_3 @ X4 @ X2 @ X5) @ Z0) @ X5))))))|((dsetconstr @ X2 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ (esk2_3 @ X4 @ X2 @ X5) @ Z0) @ X5))))!=(setadjoin @ X1 @ emptyset))|~((subset @ X5 @ (cartprod @ X4 @ X2)))|~((in @ X6 @ X4))|~((in @ X7 @ X2))|~((in @ (kpair @ X6 @ X7) @ X5)))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_43, negated_conjecture, ![X1:$i]:(((in @ (esk12_1 @ X1) @ (dsetconstr @ esk8_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1 @ Z0) @ esk11_0)))))|~((in @ X1 @ esk7_0)))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_44, negated_conjecture, ![X1:$i]:((((dsetconstr @ esk8_0 @ (^[Z0/* 3 */:$i]:((in @ (kpair @ X1 @ Z0) @ esk11_0))))=(setadjoin @ (esk12_1 @ X1) @ emptyset))|~((in @ X1 @ esk7_0)))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_45, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:((((X4)=(X5))|(in @ (esk3_4 @ X1 @ X2 @ X4 @ X5) @ X1)|~((in @ (kpair @ (esk5_4 @ X1 @ X2 @ X4 @ X5) @ (esk6_4 @ X1 @ X2 @ X4 @ X5)) @ X4))|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_46, negated_conjecture, ((in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0)|(in @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_38])). 1.64/0.66 thf(c_0_47, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:(((in @ (kpair @ (esk5_4 @ X1 @ X2 @ X4 @ X5) @ (esk6_4 @ X1 @ X2 @ X4 @ X5)) @ X5)|((X4)=(X5))|(in @ (esk4_4 @ X1 @ X2 @ X4 @ X5) @ X2)|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_48, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:(((in @ (esk5_4 @ X1 @ X2 @ X4 @ X5) @ X1)|((X4)=(X5))|(in @ (esk4_4 @ X1 @ X2 @ X4 @ X5) @ X2)|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_49, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:(((in @ (esk6_4 @ X1 @ X2 @ X4 @ X5) @ X2)|((X4)=(X5))|(in @ (esk4_4 @ X1 @ X2 @ X4 @ X5) @ X2)|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_50, negated_conjecture, ![X4:$i, X2:$i, X1:$i]:((((ap @ X1 @ esk8_0 @ esk11_0 @ X2)=(X4))|~((in @ (esk2_3 @ X1 @ esk8_0 @ esk11_0) @ esk7_0))|~((subset @ esk11_0 @ (cartprod @ X1 @ esk8_0)))|~((in @ (kpair @ X2 @ X4) @ esk11_0))|~((in @ X4 @ esk8_0))|~((in @ X2 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])). 1.64/0.66 thf(c_0_51, negated_conjecture, ((in @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_52, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:(((in @ (esk6_4 @ X1 @ X2 @ X4 @ X5) @ X2)|((X4)=(X5))|(in @ (kpair @ (esk3_4 @ X1 @ X2 @ X4 @ X5) @ (esk4_4 @ X1 @ X2 @ X4 @ X5)) @ X4)|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_53, negated_conjecture, ![X1:$i]:((((X1)=(esk11_0))|(in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0)) @ esk11_0)|(in @ (esk4_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ esk8_0)|~((subset @ X1 @ (cartprod @ esk7_0 @ esk8_0))))), inference(spm,[status(thm)],[c_0_47, c_0_20])). 1.64/0.66 thf(c_0_54, negated_conjecture, ![X1:$i]:((((X1)=(esk11_0))|(in @ (esk4_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ esk8_0)|(in @ (esk5_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ esk7_0)|~((subset @ X1 @ (cartprod @ esk7_0 @ esk8_0))))), inference(spm,[status(thm)],[c_0_48, c_0_20])). 1.64/0.66 thf(c_0_55, negated_conjecture, ![X1:$i]:((((X1)=(esk11_0))|(in @ (esk4_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ esk8_0)|(in @ (esk6_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ esk8_0)|~((subset @ X1 @ (cartprod @ esk7_0 @ esk8_0))))), inference(spm,[status(thm)],[c_0_49, c_0_20])). 1.64/0.66 thf(c_0_56, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:(((in @ (esk5_4 @ X1 @ X2 @ X4 @ X5) @ X1)|((X4)=(X5))|(in @ (kpair @ (esk3_4 @ X1 @ X2 @ X4 @ X5) @ (esk4_4 @ X1 @ X2 @ X4 @ X5)) @ X4)|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_57, negated_conjecture, ![X2:$i, X1:$i]:((((ap @ esk7_0 @ esk8_0 @ esk11_0 @ X1)=(X2))|(in @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)|~((in @ (kpair @ X1 @ X2) @ esk11_0))|~((in @ X2 @ esk8_0))|~((in @ X1 @ esk7_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_20])])). 1.64/0.66 thf(c_0_58, negated_conjecture, ![X1:$i]:((((X1)=(esk11_0))|(in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0)) @ X1)|(in @ (esk6_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ esk8_0)|~((subset @ X1 @ (cartprod @ esk7_0 @ esk8_0))))), inference(spm,[status(thm)],[c_0_52, c_0_20])). 1.64/0.66 thf(c_0_59, negated_conjecture, ((in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|(in @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_28]), c_0_31])). 1.64/0.66 thf(c_0_60, negated_conjecture, ((in @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)|(in @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_28]), c_0_31])). 1.64/0.66 thf(c_0_61, negated_conjecture, ((in @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)|(in @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_28]), c_0_31])). 1.64/0.66 thf(c_0_62, negated_conjecture, ![X1:$i]:((((X1)=(esk11_0))|(in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0)) @ X1)|(in @ (esk5_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ esk7_0)|~((subset @ X1 @ (cartprod @ esk7_0 @ esk8_0))))), inference(spm,[status(thm)],[c_0_56, c_0_20])). 1.64/0.66 thf(c_0_63, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_37]), c_0_38]), c_0_39])). 1.64/0.66 thf(c_0_64, negated_conjecture, ![X2:$i, X1:$i]:((((ap @ esk7_0 @ esk8_0 @ esk9_0 @ X1)=(X2))|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)|~((in @ (kpair @ X1 @ X2) @ esk9_0))|~((in @ X2 @ esk8_0))|~((in @ X1 @ esk7_0)))), inference(spm,[status(thm)],[c_0_29, c_0_28])). 1.64/0.66 thf(c_0_65, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0)|(in @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_28]), c_0_31])). 1.64/0.66 thf(c_0_66, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_59]), c_0_60]), c_0_61])). 1.64/0.66 thf(c_0_67, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0)|(in @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_28]), c_0_31])). 1.64/0.66 thf(c_0_68, negated_conjecture, ((in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0)|(in @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_63]), c_0_38])). 1.64/0.66 thf(c_0_69, negated_conjecture, ![X1:$i, X4:$i, X2:$i]:(((in @ (kpair @ X1 @ (ap @ X2 @ esk8_0 @ esk11_0 @ X1)) @ esk11_0)|((setadjoin @ (esk12_1 @ (esk1_3 @ X2 @ esk8_0 @ esk11_0)) @ emptyset)!=(setadjoin @ X4 @ emptyset))|~((in @ X4 @ (setadjoin @ (esk12_1 @ (esk1_3 @ X2 @ esk8_0 @ esk11_0)) @ emptyset)))|~((in @ (esk1_3 @ X2 @ esk8_0 @ esk11_0) @ esk7_0))|~((subset @ esk11_0 @ (cartprod @ X2 @ esk8_0)))|~((in @ X1 @ X2)))), inference(spm,[status(thm)],[c_0_23, c_0_44])). 1.64/0.66 thf(c_0_70, negated_conjecture, ![X1:$i]:(((in @ (esk12_1 @ X1) @ (setadjoin @ (esk12_1 @ X1) @ emptyset))|~((in @ X1 @ esk7_0)))), inference(spm,[status(thm)],[c_0_43, c_0_44])). 1.64/0.66 thf(c_0_71, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk9_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_39]), c_0_61])). 1.64/0.66 thf(c_0_72, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:((((X4)=(X5))|(in @ (esk4_4 @ X1 @ X2 @ X4 @ X5) @ X2)|~((in @ (kpair @ (esk5_4 @ X1 @ X2 @ X4 @ X5) @ (esk6_4 @ X1 @ X2 @ X4 @ X5)) @ X4))|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_73, negated_conjecture, ((in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0)|(in @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_66]), c_0_60])). 1.64/0.66 thf(c_0_74, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk9_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_67]), c_0_38]), c_0_60])). 1.64/0.66 thf(c_0_75, negated_conjecture, ![X1:$i]:(((in @ (kpair @ X1 @ (ap @ esk7_0 @ esk8_0 @ esk11_0 @ X1)) @ esk11_0)|(in @ (esk1_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)|~((in @ X1 @ esk7_0)))), inference(spm,[status(thm)],[c_0_26, c_0_20])). 1.64/0.66 thf(c_0_76, negated_conjecture, (in @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_68]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_77, negated_conjecture, ![X1:$i, X2:$i]:(((in @ (kpair @ X1 @ (ap @ X2 @ esk8_0 @ esk11_0 @ X1)) @ esk11_0)|~((in @ (esk1_3 @ X2 @ esk8_0 @ esk11_0) @ esk7_0))|~((subset @ esk11_0 @ (cartprod @ X2 @ esk8_0)))|~((in @ X1 @ X2)))), inference(spm,[status(thm)],[c_0_69, c_0_70])). 1.64/0.66 thf(c_0_78, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_71]), c_0_39])). 1.64/0.66 thf(c_0_79, negated_conjecture, ((in @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_80, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_74]), c_0_38])). 1.64/0.66 thf(c_0_81, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))) @ esk11_0)|(in @ (esk1_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(spm,[status(thm)],[c_0_75, c_0_76])). 1.64/0.66 thf(c_0_82, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|(in @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)|~((in @ (esk1_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_20])]), c_0_39])). 1.64/0.66 thf(c_0_83, negated_conjecture, ![X2:$i, X1:$i]:((((ap @ esk7_0 @ esk8_0 @ esk11_0 @ X1)=(X2))|(in @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)|~((in @ (kpair @ X1 @ X2) @ esk11_0))|~((in @ X2 @ esk8_0))|~((in @ X1 @ esk7_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_79]), c_0_20])])). 1.64/0.66 thf(c_0_84, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|(in @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)|~((in @ (esk1_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_80]), c_0_20])]), c_0_38])). 1.64/0.66 thf(c_0_85, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:(((in @ (esk6_4 @ X1 @ X2 @ X4 @ X5) @ X2)|((X4)=(X5))|~((in @ (kpair @ (esk3_4 @ X1 @ X2 @ X4 @ X5) @ (esk4_4 @ X1 @ X2 @ X4 @ X5)) @ X5))|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_86, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|(in @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_78]), c_0_82])). 1.64/0.66 thf(c_0_87, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_59]), c_0_60]), c_0_61])). 1.64/0.66 thf(c_0_88, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:(((in @ (esk5_4 @ X1 @ X2 @ X4 @ X5) @ X1)|((X4)=(X5))|~((in @ (kpair @ (esk3_4 @ X1 @ X2 @ X4 @ X5) @ (esk4_4 @ X1 @ X2 @ X4 @ X5)) @ X5))|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_89, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|(in @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_80]), c_0_84])). 1.64/0.66 thf(c_0_90, negated_conjecture, ![X4:$i, X2:$i, X1:$i]:((((ap @ X1 @ esk8_0 @ esk9_0 @ X2)=(X4))|~((in @ (esk2_3 @ X1 @ esk8_0 @ esk9_0) @ esk7_0))|~((subset @ esk9_0 @ (cartprod @ X1 @ esk8_0)))|~((in @ (kpair @ X2 @ X4) @ esk9_0))|~((in @ X4 @ esk8_0))|~((in @ X2 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_24]), c_0_25])). 1.64/0.66 thf(c_0_91, negated_conjecture, ((in @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_92, negated_conjecture, ((in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0)|(in @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_87]), c_0_60])). 1.64/0.66 thf(c_0_93, negated_conjecture, ((in @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_94, negated_conjecture, ![X2:$i, X1:$i]:((((ap @ esk7_0 @ esk8_0 @ esk9_0 @ X1)=(X2))|(in @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)|~((in @ (kpair @ X1 @ X2) @ esk9_0))|~((in @ X2 @ esk8_0))|~((in @ X1 @ esk7_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_28])])). 1.64/0.66 thf(c_0_95, negated_conjecture, (in @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_92]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_96, negated_conjecture, ![X2:$i, X1:$i]:((((ap @ esk7_0 @ esk8_0 @ esk9_0 @ X1)=(X2))|(in @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)|~((in @ (kpair @ X1 @ X2) @ esk9_0))|~((in @ X2 @ esk8_0))|~((in @ X1 @ esk7_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_93]), c_0_28])])). 1.64/0.66 thf(c_0_97, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk9_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_65]), c_0_95]), c_0_76])])). 1.64/0.66 thf(c_0_98, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk9_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_67]), c_0_95]), c_0_76])])). 1.64/0.66 thf(c_0_99, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_97]), c_0_76])])). 1.64/0.66 thf(c_0_100, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_98]), c_0_76])])). 1.64/0.66 thf(c_0_101, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:(((in @ (kpair @ (esk5_4 @ X1 @ X2 @ X4 @ X5) @ (esk6_4 @ X1 @ X2 @ X4 @ X5)) @ X5)|((X4)=(X5))|(in @ (kpair @ (esk3_4 @ X1 @ X2 @ X4 @ X5) @ (esk4_4 @ X1 @ X2 @ X4 @ X5)) @ X4)|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_102, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|(in @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)|~((in @ (esk1_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_99]), c_0_20]), c_0_76])])). 1.64/0.66 thf(c_0_103, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|(in @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)|~((in @ (esk1_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_100]), c_0_20]), c_0_76])])). 1.64/0.66 thf(c_0_104, negated_conjecture, ![X1:$i]:((((X1)=(esk11_0))|(in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0)) @ esk11_0)|(in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ X1 @ esk11_0)) @ X1)|~((subset @ X1 @ (cartprod @ esk7_0 @ esk8_0))))), inference(spm,[status(thm)],[c_0_101, c_0_20])). 1.64/0.66 thf(c_0_105, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|(in @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_99]), c_0_20]), c_0_76])]), c_0_102])). 1.64/0.66 thf(c_0_106, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|(in @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_100]), c_0_20]), c_0_76])]), c_0_103])). 1.64/0.66 thf(c_0_107, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0)|(in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_28]), c_0_31])). 1.64/0.66 thf(c_0_108, negated_conjecture, (in @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk8_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_105]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_109, negated_conjecture, (in @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ esk7_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_106]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_110, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_107]), c_0_108]), c_0_109])])). 1.64/0.66 thf(c_0_111, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|((ap @ esk7_0 @ esk8_0 @ esk9_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_110]), c_0_95]), c_0_76])])). 1.64/0.66 thf(c_0_112, negated_conjecture, ![X2:$i, X1:$i]:((((X1)=(ap @ esk7_0 @ esk8_0 @ esk11_0 @ X2))|~((in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0))|~((in @ (kpair @ X2 @ X1) @ esk9_0))|~((in @ X2 @ esk7_0))|~((in @ X1 @ esk8_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_90]), c_0_28])])). 1.64/0.66 thf(c_0_113, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_111]), c_0_76])])). 1.64/0.66 thf(c_0_114, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_110]), c_0_76]), c_0_95])]), c_0_113])). 1.64/0.66 thf(c_0_115, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:((((X4)=(X5))|(in @ (kpair @ (esk3_4 @ X1 @ X2 @ X4 @ X5) @ (esk4_4 @ X1 @ X2 @ X4 @ X5)) @ X4)|~((in @ (kpair @ (esk5_4 @ X1 @ X2 @ X4 @ X5) @ (esk6_4 @ X1 @ X2 @ X4 @ X5)) @ X4))|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_116, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_114]), c_0_109])])). 1.64/0.66 thf(c_0_117, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_116]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_118, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)|~((in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_117]), c_0_76]), c_0_95])])). 1.64/0.66 thf(c_0_119, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|((ap @ esk7_0 @ esk8_0 @ esk9_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_117]), c_0_95]), c_0_76])]), c_0_118])). 1.64/0.66 thf(c_0_120, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_119]), c_0_76])])). 1.64/0.66 thf(c_0_121, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)|~((in @ (esk1_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_120]), c_0_20]), c_0_76])])). 1.64/0.66 thf(c_0_122, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:(((in @ (kpair @ (esk5_4 @ X1 @ X2 @ X4 @ X5) @ (esk6_4 @ X1 @ X2 @ X4 @ X5)) @ X5)|((X4)=(X5))|~((in @ (kpair @ (esk3_4 @ X1 @ X2 @ X4 @ X5) @ (esk4_4 @ X1 @ X2 @ X4 @ X5)) @ X5))|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_123, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_120]), c_0_20]), c_0_76])]), c_0_121])). 1.64/0.66 thf(c_0_124, negated_conjecture, ((in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_123]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_125, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X2:$i]:((((X4)=(X5))|~((in @ (kpair @ (esk5_4 @ X1 @ X2 @ X4 @ X5) @ (esk6_4 @ X1 @ X2 @ X4 @ X5)) @ X4))|~((in @ (kpair @ (esk3_4 @ X1 @ X2 @ X4 @ X5) @ (esk4_4 @ X1 @ X2 @ X4 @ X5)) @ X5))|~((subset @ X5 @ (cartprod @ X1 @ X2)))|~((subset @ X4 @ (cartprod @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_18])). 1.64/0.66 thf(c_0_126, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_124]), c_0_108]), c_0_109])])). 1.64/0.66 thf(c_0_127, negated_conjecture, ((in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)|~((in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_123]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_128, negated_conjecture, (in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_126]), c_0_109])]), c_0_127])). 1.64/0.66 thf(c_0_129, negated_conjecture, ![X2:$i, X1:$i]:((((ap @ esk7_0 @ esk8_0 @ esk11_0 @ X1)=(X2))|~((in @ (kpair @ X1 @ X2) @ esk11_0))|~((in @ X2 @ esk8_0))|~((in @ X1 @ esk7_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_128]), c_0_20])])). 1.64/0.66 thf(c_0_130, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_107]), c_0_108]), c_0_109])])). 1.64/0.66 thf(c_0_131, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|((ap @ esk7_0 @ esk8_0 @ esk9_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_130]), c_0_95]), c_0_76])])). 1.64/0.66 thf(c_0_132, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|~((in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_130]), c_0_76]), c_0_95])])). 1.64/0.66 thf(c_0_133, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_131]), c_0_76])]), c_0_132])). 1.64/0.66 thf(c_0_134, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_133]), c_0_109])])). 1.64/0.66 thf(c_0_135, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|(in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_134]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_136, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|~((in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_135]), c_0_76]), c_0_95])])). 1.64/0.66 thf(c_0_137, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|(in @ (esk1_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)|~((in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_136]), c_0_20]), c_0_76])])). 1.64/0.66 thf(c_0_138, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|~((in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_136]), c_0_20]), c_0_76])]), c_0_137])). 1.64/0.66 thf(c_0_139, negated_conjecture, ![X1:$i, X2:$i]:(((in @ (kpair @ X1 @ X2) @ esk9_0)|~((in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0))|~((in @ (kpair @ X1 @ X2) @ esk11_0))|~((in @ X1 @ esk7_0))|~((in @ X2 @ esk8_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_50]), c_0_20])])). 1.64/0.66 thf(c_0_140, negated_conjecture, (~((in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0))|~((in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_138]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_141, negated_conjecture, ![X1:$i, X2:$i]:(((in @ (kpair @ X1 @ X2) @ esk9_0)|~((in @ (kpair @ X1 @ X2) @ esk11_0))|~((in @ X1 @ esk7_0))|~((in @ X2 @ esk8_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139, c_0_128])])). 1.64/0.66 thf(c_0_142, negated_conjecture, (~((in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0))|~((in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140, c_0_141]), c_0_109]), c_0_108])])). 1.64/0.66 thf(c_0_143, negated_conjecture, ~((in @ (esk2_3 @ esk7_0 @ esk8_0 @ esk9_0) @ esk7_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_138]), c_0_20]), c_0_28])]), c_0_31]), c_0_142])). 1.64/0.66 thf(c_0_144, negated_conjecture, (((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))|((ap @ esk7_0 @ esk8_0 @ esk9_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_135]), c_0_95]), c_0_76])]), c_0_143])). 1.64/0.66 thf(c_0_145, negated_conjecture, ((ap @ esk7_0 @ esk8_0 @ esk11_0 @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0))=(esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_144]), c_0_76])])). 1.64/0.66 thf(c_0_146, negated_conjecture, ((in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)|~((in @ (esk1_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_145]), c_0_20]), c_0_76])])). 1.64/0.66 thf(c_0_147, negated_conjecture, (~((in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0))|~((in @ (esk1_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_146]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_148, negated_conjecture, (~((in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0))|~((in @ (esk1_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147, c_0_141]), c_0_109]), c_0_108])])). 1.64/0.66 thf(c_0_149, negated_conjecture, ~((in @ (esk1_3 @ esk7_0 @ esk8_0 @ esk11_0) @ esk7_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_146]), c_0_20]), c_0_28])]), c_0_31]), c_0_148])). 1.64/0.66 thf(c_0_150, negated_conjecture, (in @ (kpair @ (esk3_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk4_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_81, c_0_145]), c_0_149])). 1.64/0.66 thf(c_0_151, negated_conjecture, ~((in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk9_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_150]), c_0_20]), c_0_28])]), c_0_31])). 1.64/0.66 thf(c_0_152, negated_conjecture, ~((in @ (kpair @ (esk5_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0) @ (esk6_4 @ esk7_0 @ esk8_0 @ esk9_0 @ esk11_0)) @ esk11_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_141]), c_0_109]), c_0_108])])). 1.64/0.66 thf(c_0_153, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_150]), c_0_20]), c_0_28])]), c_0_31]), c_0_152]), ['proof']). 1.64/0.66 # SZS output end CNFRefutation 1.64/0.66 # Parsed axioms : 23 1.64/0.66 # Removed by relevancy pruning/SinE : 0 1.64/0.66 # Initial clauses : 43 1.64/0.66 # Removed in clause preprocessing : 15 1.64/0.66 # Initial clauses in saturation : 28 1.64/0.66 # Processed clauses : 565 1.64/0.66 # ...of these trivial : 2 1.64/0.66 # ...subsumed : 155 1.64/0.66 # ...remaining for further processing : 407 1.64/0.66 # Other redundant clauses eliminated : 16 1.64/0.66 # Clauses deleted for lack of memory : 0 1.64/0.66 # Backward-subsumed : 108 1.64/0.66 # Backward-rewritten : 123 1.64/0.66 # Generated clauses : 4268 1.64/0.66 # ...of the previous two non-redundant : 4110 1.64/0.66 # ...aggressively subsumed : 0 1.64/0.66 # Contextual simplify-reflections : 81 1.64/0.66 # Paramodulations : 4149 1.64/0.66 # Factorizations : 0 1.64/0.66 # NegExts : 54 1.64/0.66 # Equation resolutions : 25 1.64/0.66 # Disequality decompositions : 0 1.64/0.66 # Total rewrite steps : 2673 1.64/0.66 # ...of those cached : 2659 1.64/0.66 # Propositional unsat checks : 0 1.64/0.66 # Propositional check models : 0 1.64/0.66 # Propositional check unsatisfiable : 0 1.64/0.66 # Propositional clauses : 0 1.64/0.66 # Propositional clauses after purity: 0 1.64/0.66 # Propositional unsat core size : 0 1.64/0.66 # Propositional preprocessing time : 0.000 1.64/0.66 # Propositional encoding time : 0.000 1.64/0.66 # Propositional solver time : 0.000 1.64/0.66 # Success case prop preproc time : 0.000 1.64/0.66 # Success case prop encoding time : 0.000 1.64/0.66 # Success case prop solver time : 0.000 1.64/0.66 # Current number of processed clauses : 161 1.64/0.66 # Positive orientable unit clauses : 16 1.64/0.66 # Positive unorientable unit clauses: 0 1.64/0.66 # Negative unit clauses : 5 1.64/0.66 # Non-unit-clauses : 140 1.64/0.66 # Current number of unprocessed clauses: 3254 1.64/0.66 # ...number of literals in the above : 26220 1.64/0.66 # Current number of archived formulas : 0 1.64/0.66 # Current number of archived clauses : 246 1.64/0.66 # Clause-clause subsumption calls (NU) : 17318 1.64/0.66 # Rec. Clause-clause subsumption calls : 4257 1.64/0.66 # Non-unit clause-clause subsumptions : 300 1.64/0.66 # Unit Clause-clause subsumption calls : 641 1.64/0.66 # Rewrite failures with RHS unbound : 0 1.64/0.66 # BW rewrite match attempts : 64 1.64/0.66 # BW rewrite match successes : 12 1.64/0.66 # Condensation attempts : 565 1.64/0.66 # Condensation successes : 0 1.64/0.66 # Termbank termtop insertions : 306422 1.64/0.66 # Search garbage collected termcells : 1277 1.64/0.66 1.64/0.66 # ------------------------------------------------- 1.64/0.66 # User time : 0.182 s 1.64/0.66 # System time : 0.011 s 1.64/0.66 # Total time : 0.193 s 1.64/0.66 # Maximum resident set size: 2080 pages 1.64/0.66 1.64/0.66 # ------------------------------------------------- 1.64/0.66 # User time : 0.914 s 1.64/0.66 # System time : 0.031 s 1.64/0.66 # Total time : 0.944 s 1.64/0.66 # Maximum resident set size: 1772 pages 1.64/0.66 % E exiting 1.64/0.66 % E exiting 1.64/0.66 EOF