0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.32 % Computer : n012.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 1920 0.12/0.32 % WCLimit : 240 0.12/0.32 % DateTime : Wed Jul 30 02:24:19 EDT 2025 0.12/0.32 % CPUTime : 0.18/0.46 Running higher-order theorem proving 0.18/0.47 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.pViw7js6rm/E---3.1_5703.p 0.18/0.49 # Version: 3.0.0-ho 0.18/0.49 # Preprocessing class: HSMSSMSSSSSNFFN. 0.18/0.49 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.49 # Starting new_ho_10 with 1200s (5) cores 0.18/0.49 # Starting new_bool_1 with 240s (1) cores 0.18/0.49 # Starting full_lambda_5 with 240s (1) cores 0.18/0.49 # Starting new_ho_10_unif with 240s (1) cores 0.18/0.49 # new_bool_1 with pid 5782 completed with status 0 0.18/0.49 # Result found by new_bool_1 0.18/0.49 # Preprocessing class: HSMSSMSSSSSNFFN. 0.18/0.49 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.49 # Starting new_ho_10 with 1200s (5) cores 0.18/0.49 # Starting new_bool_1 with 240s (1) cores 0.18/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.18/0.49 # Search class: HHUNM-FFSM11-SFFFFFNN 0.18/0.49 # partial match(1): HHUNS-FFSM11-SFFFFFNN 0.18/0.49 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 0.18/0.49 # Starting new_ho_10 with 145s (1) cores 0.18/0.49 # new_ho_10 with pid 5785 completed with status 0 0.18/0.49 # Result found by new_ho_10 0.18/0.49 # Preprocessing class: HSMSSMSSSSSNFFN. 0.18/0.49 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.49 # Starting new_ho_10 with 1200s (5) cores 0.18/0.49 # Starting new_bool_1 with 240s (1) cores 0.18/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.18/0.49 # Search class: HHUNM-FFSM11-SFFFFFNN 0.18/0.49 # partial match(1): HHUNS-FFSM11-SFFFFFNN 0.18/0.49 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 0.18/0.49 # Starting new_ho_10 with 145s (1) cores 0.18/0.49 # Preprocessing time : 0.001 s 0.18/0.49 # Presaturation interreduction done 0.18/0.49 0.18/0.49 # Proof found! 0.18/0.49 # SZS status Theorem 0.18/0.49 # SZS output start CNFRefutation 0.18/0.49 thf(decl_23, type, cQ_5: $i > $i > $i > $o). 0.18/0.49 thf(decl_24, type, f: $i > $i). 0.18/0.49 thf(decl_25, type, cP_4: $i > $i > $o). 0.18/0.49 thf(decl_26, type, cQ_4: $i > $i > $i > $o). 0.18/0.49 thf(decl_27, type, d: $i). 0.18/0.49 thf(decl_28, type, c: $i). 0.18/0.49 thf(decl_29, type, b: $i). 0.18/0.49 thf(decl_30, type, a: $i). 0.18/0.49 thf(decl_31, type, cP_3: $i > $i > $o). 0.18/0.49 thf(decl_32, type, cQ_3: $i > $i > $i > $o). 0.18/0.49 thf(decl_33, type, cP_2: $i > $i > $o). 0.18/0.49 thf(decl_34, type, cQ_2: $i > $i > $i > $o). 0.18/0.49 thf(decl_35, type, cP_1: $i > $i > $o). 0.18/0.49 thf(decl_36, type, cQ_1: $i > $i > $i > $o). 0.18/0.49 thf(cTHM409_4, conjecture, ~(((((((((((((((((((((((((((cP_1 @ b @ b)&![X1:$i, X2:$i]:((~((cP_1 @ X1 @ X2))|(cP_1 @ (f @ X1) @ X2))))&(cP_2 @ b @ b))&(cP_2 @ c @ c))&![X1:$i]:((cP_2 @ d @ X1)))&(cP_3 @ b @ b))&![X1:$i, X2:$i]:((~((cP_3 @ X1 @ X2))|(cP_3 @ (f @ X1) @ X2))))&(cP_4 @ a @ a))&![X1:$i, X2:$i]:((~((cP_4 @ X1 @ X2))|(cP_4 @ (f @ X1) @ X2))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_4 @ X1 @ X2 @ X3))|~((cP_4 @ (f @ X2) @ X5))|(cQ_5 @ X4 @ X5 @ X6)|~((cP_4 @ (f @ X3) @ X6))|~((cP_4 @ (f @ X1) @ X4)))))&![X1:$i, X2:$i, X3:$i]:(~((cQ_5 @ X1 @ X2 @ X3))))&![X1:$i]:((cP_4 @ d @ X1)))&(cP_4 @ c @ c))&(cP_4 @ b @ b))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_3 @ X1 @ X2 @ X3))|~((cP_3 @ (f @ X1) @ X4))|~((cP_3 @ (f @ X2) @ X5))|~((cP_3 @ (f @ X3) @ X6))|(cQ_4 @ X4 @ X5 @ X6))))&![X1:$i]:((cP_3 @ d @ X1)))&(cP_3 @ c @ c))&(cP_3 @ a @ a))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_2 @ X1 @ X2 @ X3))|~((cP_2 @ (f @ X1) @ X4))|~((cP_2 @ (f @ X3) @ X6))|(cQ_3 @ X4 @ X5 @ X6)|~((cP_2 @ (f @ X2) @ X5)))))&![X1:$i, X2:$i]:(((cP_2 @ (f @ X1) @ X2)|~((cP_2 @ X1 @ X2)))))&(cP_2 @ a @ a))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_1 @ (f @ X3) @ X6))|(cQ_2 @ X4 @ X5 @ X6)|~((cP_1 @ (f @ X2) @ X5))|~((cP_1 @ (f @ X1) @ X4))|~((cQ_1 @ X1 @ X2 @ X3)))))&![X1:$i]:((cP_1 @ d @ X1)))&(cP_1 @ c @ c))&(cP_1 @ a @ a))&(cQ_1 @ a @ b @ c))), file('/export/starexec/sandbox2/tmp/tmp.pViw7js6rm/E---3.1_5703.p', cTHM409_4)). 0.18/0.49 thf(c_0_1, negated_conjecture, ~(~(((((((((((((((((((((((((((cP_1 @ b @ b)&![X1:$i, X2:$i]:((~(cP_1 @ X1 @ X2)|(cP_1 @ (f @ X1) @ X2))))&(cP_2 @ b @ b))&(cP_2 @ c @ c))&![X1:$i]:((cP_2 @ d @ X1)))&(cP_3 @ b @ b))&![X1:$i, X2:$i]:((~(cP_3 @ X1 @ X2)|(cP_3 @ (f @ X1) @ X2))))&(cP_4 @ a @ a))&![X1:$i, X2:$i]:((~(cP_4 @ X1 @ X2)|(cP_4 @ (f @ X1) @ X2))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cQ_4 @ X1 @ X2 @ X3)|~(cP_4 @ (f @ X2) @ X5)|(cQ_5 @ X4 @ X5 @ X6)|~(cP_4 @ (f @ X3) @ X6)|~(cP_4 @ (f @ X1) @ X4))))&![X1:$i, X2:$i, X3:$i]:(~(cQ_5 @ X1 @ X2 @ X3)))&![X1:$i]:((cP_4 @ d @ X1)))&(cP_4 @ c @ c))&(cP_4 @ b @ b))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cQ_3 @ X1 @ X2 @ X3)|~(cP_3 @ (f @ X1) @ X4)|~(cP_3 @ (f @ X2) @ X5)|~(cP_3 @ (f @ X3) @ X6)|(cQ_4 @ X4 @ X5 @ X6))))&![X1:$i]:((cP_3 @ d @ X1)))&(cP_3 @ c @ c))&(cP_3 @ a @ a))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cQ_2 @ X1 @ X2 @ X3)|~(cP_2 @ (f @ X1) @ X4)|~(cP_2 @ (f @ X3) @ X6)|(cQ_3 @ X4 @ X5 @ X6)|~(cP_2 @ (f @ X2) @ X5))))&![X1:$i, X2:$i]:(((cP_2 @ (f @ X1) @ X2)|~(cP_2 @ X1 @ X2))))&(cP_2 @ a @ a))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cP_1 @ (f @ X3) @ X6)|(cQ_2 @ X4 @ X5 @ X6)|~(cP_1 @ (f @ X2) @ X5)|~(cP_1 @ (f @ X1) @ X4)|~(cQ_1 @ X1 @ X2 @ X3))))&![X1:$i]:((cP_1 @ d @ X1)))&(cP_1 @ c @ c))&(cP_1 @ a @ a))&(cQ_1 @ a @ b @ c)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM409_4])])). 0.18/0.49 thf(c_0_2, negated_conjecture, ![X46:$i, X47:$i, X48:$i, X49:$i, X50:$i, X51:$i, X52:$i, X53:$i, X54:$i, X55:$i, X56:$i, X57:$i, X58:$i, X59:$i, X60:$i, X61:$i, X62:$i, X63:$i, X64:$i, X65:$i, X66:$i, X67:$i, X68:$i, X69:$i, X70:$i, X71:$i, X72:$i, X73:$i, X74:$i, X75:$i, X76:$i, X77:$i, X78:$i, X79:$i, X80:$i, X81:$i, X82:$i, X83:$i, X84:$i]:(((((((((((((((((((((((((((cP_1 @ b @ b)&(~(cP_1 @ X46 @ X47)|(cP_1 @ (f @ X46) @ X47)))&(cP_2 @ b @ b))&(cP_2 @ c @ c))&(cP_2 @ d @ X48))&(cP_3 @ b @ b))&(~(cP_3 @ X49 @ X50)|(cP_3 @ (f @ X49) @ X50)))&(cP_4 @ a @ a))&(~(cP_4 @ X51 @ X52)|(cP_4 @ (f @ X51) @ X52)))&(~(cQ_4 @ X53 @ X54 @ X55)|~(cP_4 @ (f @ X54) @ X57)|(cQ_5 @ X56 @ X57 @ X58)|~(cP_4 @ (f @ X55) @ X58)|~(cP_4 @ (f @ X53) @ X56)))&~(cQ_5 @ X59 @ X60 @ X61))&(cP_4 @ d @ X62))&(cP_4 @ c @ c))&(cP_4 @ b @ b))&(~(cQ_3 @ X63 @ X64 @ X65)|~(cP_3 @ (f @ X63) @ X66)|~(cP_3 @ (f @ X64) @ X67)|~(cP_3 @ (f @ X65) @ X68)|(cQ_4 @ X66 @ X67 @ X68)))&(cP_3 @ d @ X69))&(cP_3 @ c @ c))&(cP_3 @ a @ a))&(~(cQ_2 @ X70 @ X71 @ X72)|~(cP_2 @ (f @ X70) @ X73)|~(cP_2 @ (f @ X72) @ X75)|(cQ_3 @ X73 @ X74 @ X75)|~(cP_2 @ (f @ X71) @ X74)))&((cP_2 @ (f @ X76) @ X77)|~(cP_2 @ X76 @ X77)))&(cP_2 @ a @ a))&(~(cP_1 @ (f @ X80) @ X83)|(cQ_2 @ X81 @ X82 @ X83)|~(cP_1 @ (f @ X79) @ X82)|~(cP_1 @ (f @ X78) @ X81)|~(cQ_1 @ X78 @ X79 @ X80)))&(cP_1 @ d @ X84))&(cP_1 @ c @ c))&(cP_1 @ a @ a))&(cQ_1 @ a @ b @ c))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])). 0.18/0.49 thf(c_0_3, negated_conjecture, ![X2:$i, X4:$i, X6:$i, X5:$i, X3:$i, X1:$i]:(((cQ_2 @ X3 @ X4 @ X2)|~((cP_1 @ (f @ X1) @ X2))|~((cP_1 @ (f @ X5) @ X4))|~((cP_1 @ (f @ X6) @ X3))|~((cQ_1 @ X6 @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_4, negated_conjecture, ![X1:$i, X2:$i]:(((cP_1 @ (f @ X1) @ X2)|~((cP_1 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_5, negated_conjecture, ![X1:$i, X3:$i, X2:$i, X5:$i, X4:$i, X6:$i]:(((cQ_3 @ X4 @ X6 @ X5)|~((cQ_2 @ X1 @ X2 @ X3))|~((cP_2 @ (f @ X1) @ X4))|~((cP_2 @ (f @ X3) @ X5))|~((cP_2 @ (f @ X2) @ X6)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_6, negated_conjecture, ![X1:$i, X2:$i]:(((cP_2 @ (f @ X1) @ X2)|~((cP_2 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_7, negated_conjecture, ![X2:$i, X4:$i, X3:$i, X6:$i, X5:$i, X1:$i]:(((cQ_2 @ X1 @ X2 @ X3)|~((cP_1 @ (f @ X4) @ X2))|~((cP_1 @ (f @ X5) @ X3))|~((cQ_1 @ X6 @ X4 @ X5))|~((cP_1 @ X6 @ X1)))), inference(spm,[status(thm)],[c_0_3, c_0_4])). 0.18/0.49 thf(c_0_8, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X6:$i, X5:$i, X3:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_2 @ (f @ X4) @ X2))|~((cP_2 @ (f @ X5) @ X1))|~((cQ_2 @ X5 @ X4 @ X6))|~((cP_2 @ X6 @ X3)))), inference(spm,[status(thm)],[c_0_5, c_0_6])). 0.18/0.49 thf(c_0_9, negated_conjecture, ![X1:$i, X3:$i, X5:$i, X6:$i, X4:$i, X2:$i]:(((cQ_2 @ X1 @ X2 @ X3)|~((cP_1 @ (f @ X4) @ X3))|~((cQ_1 @ X5 @ X6 @ X4))|~((cP_1 @ X5 @ X1))|~((cP_1 @ X6 @ X2)))), inference(spm,[status(thm)],[c_0_7, c_0_4])). 0.18/0.49 thf(c_0_10, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i, X3:$i, X2:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_2 @ (f @ X4) @ X1))|~((cQ_2 @ X4 @ X5 @ X6))|~((cP_2 @ X6 @ X3))|~((cP_2 @ X5 @ X2)))), inference(spm,[status(thm)],[c_0_8, c_0_6])). 0.18/0.49 thf(c_0_11, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X5:$i, X6:$i, X3:$i]:(((cQ_2 @ X1 @ X2 @ X3)|~((cQ_1 @ X4 @ X5 @ X6))|~((cP_1 @ X4 @ X1))|~((cP_1 @ X5 @ X2))|~((cP_1 @ X6 @ X3)))), inference(spm,[status(thm)],[c_0_9, c_0_4])). 0.18/0.49 thf(c_0_12, negated_conjecture, (cQ_1 @ a @ b @ c), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_13, negated_conjecture, ![X2:$i, X6:$i, X5:$i, X4:$i, X3:$i, X1:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cQ_2 @ X4 @ X5 @ X6))|~((cP_2 @ X6 @ X3))|~((cP_2 @ X5 @ X2))|~((cP_2 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_10, c_0_6])). 0.18/0.49 thf(c_0_14, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:(((cQ_2 @ X1 @ X2 @ X3)|~((cP_1 @ a @ X1))|~((cP_1 @ b @ X2))|~((cP_1 @ c @ X3)))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.18/0.49 thf(c_0_15, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X5:$i, X4:$i, X6:$i]:(((cQ_4 @ X4 @ X5 @ X6)|~((cQ_3 @ X1 @ X2 @ X3))|~((cP_3 @ (f @ X1) @ X4))|~((cP_3 @ (f @ X2) @ X5))|~((cP_3 @ (f @ X3) @ X6)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_16, negated_conjecture, ![X1:$i, X2:$i]:(((cP_3 @ (f @ X1) @ X2)|~((cP_3 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_17, negated_conjecture, ![X2:$i, X6:$i, X5:$i, X4:$i, X3:$i, X1:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_1 @ a @ X4))|~((cP_1 @ b @ X5))|~((cP_1 @ c @ X6))|~((cP_2 @ X6 @ X3))|~((cP_2 @ X5 @ X2))|~((cP_2 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.18/0.49 thf(c_0_18, negated_conjecture, (cP_1 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_19, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X6:$i, X5:$i, X3:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_3 @ (f @ X4) @ X2))|~((cP_3 @ (f @ X5) @ X1))|~((cQ_3 @ X5 @ X4 @ X6))|~((cP_3 @ X6 @ X3)))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.18/0.49 thf(c_0_20, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X3:$i, X2:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_1 @ b @ X4))|~((cP_1 @ c @ X5))|~((cP_2 @ a @ X1))|~((cP_2 @ X5 @ X3))|~((cP_2 @ X4 @ X2)))), inference(spm,[status(thm)],[c_0_17, c_0_18])). 0.18/0.49 thf(c_0_21, negated_conjecture, (cP_1 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_22, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i, X3:$i, X2:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_3 @ (f @ X4) @ X1))|~((cQ_3 @ X4 @ X5 @ X6))|~((cP_3 @ X6 @ X3))|~((cP_3 @ X5 @ X2)))), inference(spm,[status(thm)],[c_0_19, c_0_16])). 0.18/0.49 thf(c_0_23, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X3:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_1 @ c @ X4))|~((cP_2 @ a @ X1))|~((cP_2 @ b @ X2))|~((cP_2 @ X4 @ X3)))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.18/0.49 thf(c_0_24, negated_conjecture, (cP_1 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_25, negated_conjecture, ![X3:$i, X2:$i, X1:$i, X4:$i, X6:$i, X5:$i]:(((cQ_5 @ X5 @ X4 @ X6)|~((cQ_4 @ X1 @ X2 @ X3))|~((cP_4 @ (f @ X2) @ X4))|~((cP_4 @ (f @ X3) @ X6))|~((cP_4 @ (f @ X1) @ X5)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_26, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:(~((cQ_5 @ X1 @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_27, negated_conjecture, ![X2:$i, X6:$i, X5:$i, X4:$i, X3:$i, X1:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cQ_3 @ X4 @ X5 @ X6))|~((cP_3 @ X6 @ X3))|~((cP_3 @ X5 @ X2))|~((cP_3 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_22, c_0_16])). 0.18/0.49 thf(c_0_28, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_2 @ a @ X1))|~((cP_2 @ b @ X2))|~((cP_2 @ c @ X3)))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.18/0.49 thf(c_0_29, negated_conjecture, ![X6:$i, X5:$i, X4:$i, X3:$i, X2:$i, X1:$i]:((~((cP_4 @ (f @ X1) @ X2))|~((cP_4 @ (f @ X3) @ X4))|~((cP_4 @ (f @ X5) @ X6))|~((cQ_4 @ X5 @ X3 @ X1)))), inference(sr,[status(thm)],[c_0_25, c_0_26])). 0.18/0.49 thf(c_0_30, negated_conjecture, ![X1:$i, X2:$i]:(((cP_4 @ (f @ X1) @ X2)|~((cP_4 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_31, negated_conjecture, ![X2:$i, X6:$i, X5:$i, X4:$i, X3:$i, X1:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_2 @ a @ X4))|~((cP_2 @ b @ X5))|~((cP_2 @ c @ X6))|~((cP_3 @ X6 @ X3))|~((cP_3 @ X5 @ X2))|~((cP_3 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_27, c_0_28])). 0.18/0.49 thf(c_0_32, negated_conjecture, (cP_2 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_33, negated_conjecture, ![X1:$i, X3:$i, X2:$i, X4:$i, X5:$i, X6:$i]:((~((cP_4 @ (f @ X1) @ X2))|~((cP_4 @ (f @ X3) @ X4))|~((cQ_4 @ X3 @ X1 @ X5))|~((cP_4 @ X5 @ X6)))), inference(spm,[status(thm)],[c_0_29, c_0_30])). 0.18/0.49 thf(c_0_34, negated_conjecture, ![X1:$i, X5:$i, X4:$i, X3:$i, X2:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_2 @ b @ X4))|~((cP_2 @ c @ X5))|~((cP_3 @ a @ X1))|~((cP_3 @ X5 @ X3))|~((cP_3 @ X4 @ X2)))), inference(spm,[status(thm)],[c_0_31, c_0_32])). 0.18/0.49 thf(c_0_35, negated_conjecture, (cP_2 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_36, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_4 @ (f @ X1) @ X2))|~((cQ_4 @ X1 @ X3 @ X4))|~((cP_4 @ X4 @ X5))|~((cP_4 @ X3 @ X6)))), inference(spm,[status(thm)],[c_0_33, c_0_30])). 0.18/0.49 thf(c_0_37, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X3:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_2 @ c @ X4))|~((cP_3 @ a @ X1))|~((cP_3 @ b @ X2))|~((cP_3 @ X4 @ X3)))), inference(spm,[status(thm)],[c_0_34, c_0_35])). 0.18/0.49 thf(c_0_38, negated_conjecture, (cP_2 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_39, negated_conjecture, ![X3:$i, X2:$i, X1:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_4 @ X1 @ X2 @ X3))|~((cP_4 @ X3 @ X4))|~((cP_4 @ X2 @ X5))|~((cP_4 @ X1 @ X6)))), inference(spm,[status(thm)],[c_0_36, c_0_30])). 0.18/0.49 thf(c_0_40, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_3 @ a @ X1))|~((cP_3 @ b @ X2))|~((cP_3 @ c @ X3)))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 0.18/0.49 thf(c_0_41, negated_conjecture, ![X3:$i, X2:$i, X1:$i, X4:$i, X5:$i, X6:$i]:((~((cP_3 @ a @ X1))|~((cP_3 @ b @ X2))|~((cP_3 @ c @ X3))|~((cP_4 @ X3 @ X4))|~((cP_4 @ X2 @ X5))|~((cP_4 @ X1 @ X6)))), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.18/0.49 thf(c_0_42, negated_conjecture, (cP_3 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_43, negated_conjecture, ![X2:$i, X1:$i, X3:$i, X4:$i, X5:$i]:((~((cP_3 @ b @ X1))|~((cP_3 @ c @ X2))|~((cP_4 @ a @ X3))|~((cP_4 @ X2 @ X4))|~((cP_4 @ X1 @ X5)))), inference(spm,[status(thm)],[c_0_41, c_0_42])). 0.18/0.49 thf(c_0_44, negated_conjecture, (cP_3 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_45, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i]:((~((cP_3 @ c @ X1))|~((cP_4 @ a @ X2))|~((cP_4 @ b @ X3))|~((cP_4 @ X1 @ X4)))), inference(spm,[status(thm)],[c_0_43, c_0_44])). 0.18/0.49 thf(c_0_46, negated_conjecture, (cP_3 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_47, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:((~((cP_4 @ a @ X1))|~((cP_4 @ b @ X2))|~((cP_4 @ c @ X3)))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 0.18/0.49 thf(c_0_48, negated_conjecture, (cP_4 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_49, negated_conjecture, ![X1:$i, X2:$i]:((~((cP_4 @ b @ X1))|~((cP_4 @ c @ X2)))), inference(spm,[status(thm)],[c_0_47, c_0_48])). 0.18/0.49 thf(c_0_50, negated_conjecture, (cP_4 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_51, negated_conjecture, (cP_4 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_2])). 0.18/0.49 thf(c_0_52, negated_conjecture, ![X1:$i]:(~((cP_4 @ c @ X1))), inference(spm,[status(thm)],[c_0_49, c_0_50])). 0.18/0.49 thf(c_0_53, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_51, c_0_52]), ['proof']). 0.18/0.49 # SZS output end CNFRefutation 0.18/0.49 # Parsed axioms : 15 0.18/0.49 # Removed by relevancy pruning/SinE : 14 0.18/0.49 # Initial clauses : 26 0.18/0.49 # Removed in clause preprocessing : 0 0.18/0.49 # Initial clauses in saturation : 26 0.18/0.49 # Processed clauses : 79 0.18/0.49 # ...of these trivial : 0 0.18/0.49 # ...subsumed : 0 0.18/0.49 # ...remaining for further processing : 79 0.18/0.49 # Other redundant clauses eliminated : 0 0.18/0.49 # Clauses deleted for lack of memory : 0 0.18/0.49 # Backward-subsumed : 2 0.18/0.49 # Backward-rewritten : 0 0.18/0.49 # Generated clauses : 28 0.18/0.49 # ...of the previous two non-redundant : 27 0.18/0.49 # ...aggressively subsumed : 0 0.18/0.49 # Contextual simplify-reflections : 0 0.18/0.49 # Paramodulations : 27 0.18/0.49 # Factorizations : 0 0.18/0.49 # NegExts : 0 0.18/0.49 # Equation resolutions : 0 0.18/0.49 # Disequality decompositions : 0 0.18/0.49 # Total rewrite steps : 0 0.18/0.49 # ...of those cached : 0 0.18/0.49 # Propositional unsat checks : 0 0.18/0.49 # Propositional check models : 0 0.18/0.49 # Propositional check unsatisfiable : 0 0.18/0.49 # Propositional clauses : 0 0.18/0.49 # Propositional clauses after purity: 0 0.18/0.49 # Propositional unsat core size : 0 0.18/0.49 # Propositional preprocessing time : 0.000 0.18/0.49 # Propositional encoding time : 0.000 0.18/0.49 # Propositional solver time : 0.000 0.18/0.49 # Success case prop preproc time : 0.000 0.18/0.49 # Success case prop encoding time : 0.000 0.18/0.49 # Success case prop solver time : 0.000 0.18/0.49 # Current number of processed clauses : 50 0.18/0.49 # Positive orientable unit clauses : 16 0.18/0.49 # Positive unorientable unit clauses: 0 0.18/0.49 # Negative unit clauses : 2 0.18/0.49 # Non-unit-clauses : 32 0.18/0.49 # Current number of unprocessed clauses: 0 0.18/0.49 # ...number of literals in the above : 0 0.18/0.49 # Current number of archived formulas : 0 0.18/0.49 # Current number of archived clauses : 29 0.18/0.49 # Clause-clause subsumption calls (NU) : 243 0.18/0.49 # Rec. Clause-clause subsumption calls : 62 0.18/0.49 # Non-unit clause-clause subsumptions : 1 0.18/0.49 # Unit Clause-clause subsumption calls : 9 0.18/0.49 # Rewrite failures with RHS unbound : 0 0.18/0.49 # BW rewrite match attempts : 0 0.18/0.49 # BW rewrite match successes : 0 0.18/0.49 # Condensation attempts : 79 0.18/0.49 # Condensation successes : 0 0.18/0.49 # Termbank termtop insertions : 4462 0.18/0.49 # Search garbage collected termcells : 391 0.18/0.49 0.18/0.49 # ------------------------------------------------- 0.18/0.49 # User time : 0.009 s 0.18/0.49 # System time : 0.003 s 0.18/0.49 # Total time : 0.012 s 0.18/0.49 # Maximum resident set size: 1980 pages 0.18/0.49 0.18/0.49 # ------------------------------------------------- 0.18/0.49 # User time : 0.011 s 0.18/0.49 # System time : 0.004 s 0.18/0.49 # Total time : 0.015 s 0.18/0.49 # Maximum resident set size: 1764 pages 0.18/0.49 % E exiting 0.18/0.49 % E exiting 0.18/0.49 EOF