0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.09/0.41 % Computer : n019.cluster.edu 0.09/0.41 % Model : x86_64 x86_64 0.09/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.41 % Memory : 8046.5625MB 0.09/0.41 % OS : Linux 6.8.0-71-generic 0.09/0.41 % CPULimit : 1440 0.09/0.41 % WCLimit : 180 0.09/0.41 % DateTime : Mon Jul 27 09:14:09 UTC 2026 0.09/0.41 % CPUTime : 0.09/0.41 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.09/0.46 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=180 /export/starexec/sandbox2/tmp/tmp.YsQHiR2UN8/E---3.1_2252468.p 0.18/0.50 % Version: 3.5.1-ho 0.18/0.50 % Preprocessing class: HSMSSMSSSSSNFFN. 0.18/0.50 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.50 % Starting new_ho_10 with 900s (5) cores 0.18/0.50 % Starting new_bool_1 with 180s (1) cores 0.18/0.50 % Starting full_lambda_5 with 180s (1) cores 0.18/0.50 % Starting new_ho_10_unif with 180s (1) cores 0.18/0.50 % full_lambda_5 with pid 2252483 completed with status 0 0.18/0.50 % Result found by full_lambda_5 0.18/0.50 % Preprocessing class: HSMSSMSSSSSNFFN. 0.18/0.50 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.50 % Starting new_ho_10 with 900s (5) cores 0.18/0.50 % Starting new_bool_1 with 180s (1) cores 0.18/0.50 % Starting full_lambda_5 with 180s (1) cores 0.18/0.50 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto) 0.18/0.50 % No SInE strategy applied 0.18/0.50 % Search class: HHUNM-FFSM11-SFFFFFNN 0.18/0.50 % partial match(1): HHUNS-FFSM11-SFFFFFNN 0.18/0.50 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.18/0.50 % Starting SubtermCWHack with 17s (1) cores 0.18/0.50 % SubtermCWHack with pid 2252488 completed with status 0 0.18/0.50 % Result found by SubtermCWHack 0.18/0.50 % Preprocessing class: HSMSSMSSSSSNFFN. 0.18/0.50 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.18/0.50 % Starting new_ho_10 with 900s (5) cores 0.18/0.50 % Starting new_bool_1 with 180s (1) cores 0.18/0.50 % Starting full_lambda_5 with 180s (1) cores 0.18/0.50 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto) 0.18/0.50 % No SInE strategy applied 0.18/0.50 % Search class: HHUNM-FFSM11-SFFFFFNN 0.18/0.50 % partial match(1): HHUNS-FFSM11-SFFFFFNN 0.18/0.50 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.18/0.50 % Starting SubtermCWHack with 17s (1) cores 0.18/0.50 % Preprocessing time : 0.001 s 0.18/0.50 0.18/0.50 % Proof found! 0.18/0.50 % SZS status Theorem 0.18/0.50 % SZS output start CNFRefutation 0.18/0.50 thf(decl_23, type, cQ_5: $i > $i > $i > $o). 0.18/0.50 thf(decl_24, type, f: $i > $i). 0.18/0.50 thf(decl_25, type, cP_4: $i > $i > $o). 0.18/0.50 thf(decl_26, type, cQ_4: $i > $i > $i > $o). 0.18/0.50 thf(decl_27, type, d: $i). 0.18/0.50 thf(decl_28, type, c: $i). 0.18/0.50 thf(decl_29, type, b: $i). 0.18/0.50 thf(decl_30, type, a: $i). 0.18/0.50 thf(decl_31, type, cP_3: $i > $i > $o). 0.18/0.50 thf(decl_32, type, cQ_3: $i > $i > $i > $o). 0.18/0.50 thf(decl_33, type, cP_2: $i > $i > $o). 0.18/0.50 thf(decl_34, type, cQ_2: $i > $i > $i > $o). 0.18/0.50 thf(decl_35, type, cP_1: $i > $i > $o). 0.18/0.50 thf(decl_36, type, cQ_1: $i > $i > $i > $o). 0.18/0.50 thf(cTHM409_4, conjecture, ~(((((((((((((((((((((((((((cP_1 @ a @ a)&(cP_1 @ b @ b))&![X1:$i, X2:$i]:(((cP_1 @ (f @ X1) @ X2)|~((cP_1 @ X1 @ X2)))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_1 @ X1 @ X2 @ X3))|~((cP_1 @ (f @ X2) @ X5))|~((cP_1 @ (f @ X3) @ X6))|(cQ_2 @ X4 @ X5 @ X6)|~((cP_1 @ (f @ X1) @ X4)))))&(cP_2 @ a @ a))&(cP_2 @ b @ b))&(cP_2 @ c @ c))&![X1:$i]:((cP_2 @ d @ X1)))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_2 @ (f @ X1) @ X4))|~((cP_2 @ (f @ X2) @ X5))|~((cP_2 @ (f @ X3) @ X6))|(cQ_3 @ X4 @ X5 @ X6)|~((cQ_2 @ X1 @ X2 @ X3)))))&(cP_3 @ a @ a))&(cP_3 @ c @ c))&(cP_4 @ a @ a))&(cP_4 @ b @ b))&![X1:$i]:((cP_4 @ d @ X1)))&![X1:$i, X2:$i]:(((cP_4 @ (f @ X1) @ X2)|~((cP_4 @ X1 @ X2)))))&![X1:$i, X2:$i, X3:$i]:(~((cQ_5 @ X1 @ X2 @ X3))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_4 @ (f @ X2) @ X5))|~((cP_4 @ (f @ X3) @ X6))|(cQ_5 @ X4 @ X5 @ X6)|~((cP_4 @ (f @ X1) @ X4))|~((cQ_4 @ X1 @ X2 @ X3)))))&(cP_4 @ c @ c))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_3 @ (f @ X1) @ X4))|~((cP_3 @ (f @ X2) @ X5))|(cQ_4 @ X4 @ X5 @ X6)|~((cP_3 @ (f @ X3) @ X6))|~((cQ_3 @ X1 @ X2 @ X3)))))&![X1:$i, X2:$i]:(((cP_3 @ (f @ X1) @ X2)|~((cP_3 @ X1 @ X2)))))&![X1:$i]:((cP_3 @ d @ X1)))&(cP_3 @ b @ b))&![X1:$i, X2:$i]:(((cP_2 @ (f @ X1) @ X2)|~((cP_2 @ X1 @ X2)))))&![X1:$i]:((cP_1 @ d @ X1)))&(cP_1 @ c @ c))&(cQ_1 @ a @ b @ c))), file('/export/starexec/sandbox2/tmp/tmp.YsQHiR2UN8/E---3.1_2252468.p', cTHM409_4)). 0.18/0.50 thf(c_0_1, negated_conjecture, ~(~(((((((((((((((((((((((((((cP_1 @ a @ a)&(cP_1 @ b @ b))&![X1:$i, X2:$i]:(((cP_1 @ (f @ X1) @ X2)|~((cP_1 @ X1 @ X2)))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_1 @ X1 @ X2 @ X3))|~((cP_1 @ (f @ X2) @ X5))|~((cP_1 @ (f @ X3) @ X6))|(cQ_2 @ X4 @ X5 @ X6)|~((cP_1 @ (f @ X1) @ X4)))))&(cP_2 @ a @ a))&(cP_2 @ b @ b))&(cP_2 @ c @ c))&![X1:$i]:((cP_2 @ d @ X1)))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_2 @ (f @ X1) @ X4))|~((cP_2 @ (f @ X2) @ X5))|~((cP_2 @ (f @ X3) @ X6))|(cQ_3 @ X4 @ X5 @ X6)|~((cQ_2 @ X1 @ X2 @ X3)))))&(cP_3 @ a @ a))&(cP_3 @ c @ c))&(cP_4 @ a @ a))&(cP_4 @ b @ b))&![X1:$i]:((cP_4 @ d @ X1)))&![X1:$i, X2:$i]:(((cP_4 @ (f @ X1) @ X2)|~((cP_4 @ X1 @ X2)))))&![X1:$i, X2:$i, X3:$i]:(~((cQ_5 @ X1 @ X2 @ X3))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_4 @ (f @ X2) @ X5))|~((cP_4 @ (f @ X3) @ X6))|(cQ_5 @ X4 @ X5 @ X6)|~((cP_4 @ (f @ X1) @ X4))|~((cQ_4 @ X1 @ X2 @ X3)))))&(cP_4 @ c @ c))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_3 @ (f @ X1) @ X4))|~((cP_3 @ (f @ X2) @ X5))|(cQ_4 @ X4 @ X5 @ X6)|~((cP_3 @ (f @ X3) @ X6))|~((cQ_3 @ X1 @ X2 @ X3)))))&![X1:$i, X2:$i]:(((cP_3 @ (f @ X1) @ X2)|~((cP_3 @ X1 @ X2)))))&![X1:$i]:((cP_3 @ d @ X1)))&(cP_3 @ b @ b))&![X1:$i, X2:$i]:(((cP_2 @ (f @ X1) @ X2)|~((cP_2 @ X1 @ X2)))))&![X1:$i]:((cP_1 @ d @ X1)))&(cP_1 @ c @ c))&(cQ_1 @ a @ b @ c)))), inference(assume_negation,[status(cth)],[cTHM409_4])). 0.18/0.50 thf(c_0_2, negated_conjecture, ~(~(((((((((((((((((((((((((((cP_1 @ a @ a)&(cP_1 @ b @ b))&![X1:$i, X2:$i]:(((cP_1 @ (f @ X1) @ X2)|~(cP_1 @ X1 @ X2))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cQ_1 @ X1 @ X2 @ X3)|~(cP_1 @ (f @ X2) @ X5)|~(cP_1 @ (f @ X3) @ X6)|(cQ_2 @ X4 @ X5 @ X6)|~(cP_1 @ (f @ X1) @ X4))))&(cP_2 @ a @ a))&(cP_2 @ b @ b))&(cP_2 @ c @ c))&![X1:$i]:((cP_2 @ d @ X1)))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cP_2 @ (f @ X1) @ X4)|~(cP_2 @ (f @ X2) @ X5)|~(cP_2 @ (f @ X3) @ X6)|(cQ_3 @ X4 @ X5 @ X6)|~(cQ_2 @ X1 @ X2 @ X3))))&(cP_3 @ a @ a))&(cP_3 @ c @ c))&(cP_4 @ a @ a))&(cP_4 @ b @ b))&![X1:$i]:((cP_4 @ d @ X1)))&![X1:$i, X2:$i]:(((cP_4 @ (f @ X1) @ X2)|~(cP_4 @ X1 @ X2))))&![X1:$i, X2:$i, X3:$i]:(~(cQ_5 @ X1 @ X2 @ X3)))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cP_4 @ (f @ X2) @ X5)|~(cP_4 @ (f @ X3) @ X6)|(cQ_5 @ X4 @ X5 @ X6)|~(cP_4 @ (f @ X1) @ X4)|~(cQ_4 @ X1 @ X2 @ X3))))&(cP_4 @ c @ c))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cP_3 @ (f @ X1) @ X4)|~(cP_3 @ (f @ X2) @ X5)|(cQ_4 @ X4 @ X5 @ X6)|~(cP_3 @ (f @ X3) @ X6)|~(cQ_3 @ X1 @ X2 @ X3))))&![X1:$i, X2:$i]:(((cP_3 @ (f @ X1) @ X2)|~(cP_3 @ X1 @ X2))))&![X1:$i]:((cP_3 @ d @ X1)))&(cP_3 @ b @ b))&![X1:$i, X2:$i]:(((cP_2 @ (f @ X1) @ X2)|~(cP_2 @ X1 @ X2))))&![X1:$i]:((cP_1 @ d @ X1)))&(cP_1 @ c @ c))&(cQ_1 @ a @ b @ c)))), inference(fof_simplification,[status(thm)],[c_0_1])). 0.18/0.50 thf(c_0_3, 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:$i]:(((((((((((((((((((((((((((cP_1 @ a @ a)&(cP_1 @ b @ b))&((cP_1 @ (f @ X46) @ X47)|~(cP_1 @ X46 @ X47)))&(~(cQ_1 @ X48 @ X49 @ X50)|~(cP_1 @ (f @ X49) @ X52)|~(cP_1 @ (f @ X50) @ X53)|(cQ_2 @ X51 @ X52 @ X53)|~(cP_1 @ (f @ X48) @ X51)))&(cP_2 @ a @ a))&(cP_2 @ b @ b))&(cP_2 @ c @ c))&(cP_2 @ d @ X54))&(~(cP_2 @ (f @ X55) @ X58)|~(cP_2 @ (f @ X56) @ X59)|~(cP_2 @ (f @ X57) @ X60)|(cQ_3 @ X58 @ X59 @ X60)|~(cQ_2 @ X55 @ X56 @ X57)))&(cP_3 @ a @ a))&(cP_3 @ c @ c))&(cP_4 @ a @ a))&(cP_4 @ b @ b))&(cP_4 @ d @ X61))&((cP_4 @ (f @ X62) @ X63)|~(cP_4 @ X62 @ X63)))&~(cQ_5 @ X64 @ X65 @ X66))&(~(cP_4 @ (f @ X68) @ X71)|~(cP_4 @ (f @ X69) @ X72)|(cQ_5 @ X70 @ X71 @ X72)|~(cP_4 @ (f @ X67) @ X70)|~(cQ_4 @ X67 @ X68 @ X69)))&(cP_4 @ c @ c))&(~(cP_3 @ (f @ X73) @ X76)|~(cP_3 @ (f @ X74) @ X77)|(cQ_4 @ X76 @ X77 @ X78)|~(cP_3 @ (f @ X75) @ X78)|~(cQ_3 @ X73 @ X74 @ X75)))&((cP_3 @ (f @ X79) @ X80)|~(cP_3 @ X79 @ X80)))&(cP_3 @ d @ X81))&(cP_3 @ b @ b))&((cP_2 @ (f @ X82) @ X83)|~(cP_2 @ X82 @ X83)))&(cP_1 @ d @ X84))&(cP_1 @ c @ c))&(cQ_1 @ a @ b @ c))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])). 0.18/0.50 thf(c_0_4, negated_conjecture, ![X3:$i, X2:$i, X1:$i, X5:$i, X4:$i, X6:$i]:(((cQ_2 @ X6 @ X4 @ X5)|~((cQ_1 @ X1 @ X2 @ X3))|~((cP_1 @ (f @ X2) @ X4))|~((cP_1 @ (f @ X3) @ X5))|~((cP_1 @ (f @ X1) @ X6)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_5, negated_conjecture, ![X1:$i, X2:$i]:(((cP_1 @ (f @ X1) @ X2)|~((cP_1 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_6, negated_conjecture, ![X2:$i, X1:$i, X4:$i, X3:$i, X6:$i, X5:$i]:(((cQ_3 @ X2 @ X4 @ X6)|~((cP_2 @ (f @ X1) @ X2))|~((cP_2 @ (f @ X3) @ X4))|~((cP_2 @ (f @ X5) @ X6))|~((cQ_2 @ X1 @ X3 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_7, negated_conjecture, ![X1:$i, X2:$i]:(((cP_2 @ (f @ X1) @ X2)|~((cP_2 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_8, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X6:$i, X5:$i, X3:$i]:(((cQ_2 @ X1 @ X2 @ X3)|~((cP_1 @ (f @ X4) @ X2))|~((cP_1 @ (f @ X5) @ X1))|~((cQ_1 @ X5 @ X4 @ X6))|~((cP_1 @ X6 @ X3)))), inference(spm,[status(thm)],[c_0_4, c_0_5])). 0.18/0.50 thf(c_0_9, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X6:$i, X5:$i, X3:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_2 @ (f @ X4) @ X2))|~((cP_2 @ (f @ X5) @ X1))|~((cQ_2 @ X5 @ X4 @ X6))|~((cP_2 @ X6 @ X3)))), inference(spm,[status(thm)],[c_0_6, c_0_7])). 0.18/0.50 thf(c_0_10, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i, X3:$i, X2:$i]:(((cQ_2 @ X1 @ X2 @ X3)|~((cP_1 @ (f @ X4) @ X1))|~((cQ_1 @ X4 @ X5 @ X6))|~((cP_1 @ X6 @ X3))|~((cP_1 @ X5 @ X2)))), inference(spm,[status(thm)],[c_0_8, c_0_5])). 0.18/0.50 thf(c_0_11, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i, X3:$i, X2:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_2 @ (f @ X4) @ X1))|~((cQ_2 @ X4 @ X5 @ X6))|~((cP_2 @ X6 @ X3))|~((cP_2 @ X5 @ X2)))), inference(spm,[status(thm)],[c_0_9, c_0_7])). 0.18/0.50 thf(c_0_12, negated_conjecture, ![X2:$i, X6:$i, X5:$i, X4:$i, X3:$i, X1:$i]:(((cQ_2 @ X1 @ X2 @ X3)|~((cQ_1 @ X4 @ X5 @ X6))|~((cP_1 @ X6 @ X3))|~((cP_1 @ X5 @ X2))|~((cP_1 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_10, c_0_5])). 0.18/0.50 thf(c_0_13, negated_conjecture, (cQ_1 @ a @ b @ c), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_14, negated_conjecture, ![X2:$i, X6:$i, X5:$i, X4:$i, X3:$i, X1:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cQ_2 @ X4 @ X5 @ X6))|~((cP_2 @ X6 @ X3))|~((cP_2 @ X5 @ X2))|~((cP_2 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_11, c_0_7])). 0.18/0.50 thf(c_0_15, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(((cQ_2 @ X1 @ X2 @ X3)|~((cP_1 @ c @ X3))|~((cP_1 @ b @ X2))|~((cP_1 @ a @ X1)))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 0.18/0.50 thf(c_0_16, negated_conjecture, ![X2:$i, X1:$i, X3:$i, X5:$i, X4:$i, X6:$i]:(((cQ_4 @ X2 @ X4 @ X5)|~((cP_3 @ (f @ X1) @ X2))|~((cP_3 @ (f @ X3) @ X4))|~((cP_3 @ (f @ X6) @ X5))|~((cQ_3 @ X1 @ X3 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_17, negated_conjecture, ![X1:$i, X2:$i]:(((cP_3 @ (f @ X1) @ X2)|~((cP_3 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_18, negated_conjecture, ![X3:$i, X2:$i, X5:$i, X6:$i, X4:$i, X1:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_1 @ c @ X4))|~((cP_1 @ b @ X5))|~((cP_1 @ a @ X6))|~((cP_2 @ X4 @ X3))|~((cP_2 @ X5 @ X2))|~((cP_2 @ X6 @ X1)))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 0.18/0.50 thf(c_0_19, negated_conjecture, (cP_1 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_20, 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_16, c_0_17])). 0.18/0.50 thf(c_0_21, negated_conjecture, ![X2:$i, X4:$i, X5:$i, X3:$i, X1:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_1 @ b @ X4))|~((cP_1 @ a @ X5))|~((cP_2 @ c @ X3))|~((cP_2 @ X4 @ X2))|~((cP_2 @ X5 @ X1)))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.18/0.50 thf(c_0_22, negated_conjecture, (cP_1 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_23, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i, X3:$i, X2:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_3 @ (f @ X4) @ X1))|~((cQ_3 @ X4 @ X5 @ X6))|~((cP_3 @ X6 @ X3))|~((cP_3 @ X5 @ X2)))), inference(spm,[status(thm)],[c_0_20, c_0_17])). 0.18/0.50 thf(c_0_24, negated_conjecture, ![X2:$i, X4:$i, X3:$i, X1:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_1 @ a @ X4))|~((cP_2 @ c @ X3))|~((cP_2 @ b @ X2))|~((cP_2 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.18/0.50 thf(c_0_25, negated_conjecture, (cP_1 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_26, negated_conjecture, ![X2:$i, X1:$i, X4:$i, X6:$i, X5:$i, X3:$i]:(((cQ_5 @ X5 @ X2 @ X4)|~((cP_4 @ (f @ X1) @ X2))|~((cP_4 @ (f @ X3) @ X4))|~((cP_4 @ (f @ X6) @ X5))|~((cQ_4 @ X6 @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_27, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:(~((cQ_5 @ X1 @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_28, 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_23, c_0_17])). 0.18/0.50 thf(c_0_29, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_2 @ c @ X3))|~((cP_2 @ b @ X2))|~((cP_2 @ a @ X1)))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.18/0.50 thf(c_0_30, negated_conjecture, ![X2:$i, X1:$i, X4:$i, X6:$i, X5:$i, X3:$i]:((~((cP_4 @ (f @ X1) @ X2))|~((cP_4 @ (f @ X3) @ X4))|~((cP_4 @ (f @ X5) @ X6))|~((cQ_4 @ X1 @ X5 @ X3)))), inference(sr,[status(thm)],[c_0_26, c_0_27])). 0.18/0.50 thf(c_0_31, negated_conjecture, ![X1:$i, X2:$i]:(((cP_4 @ (f @ X1) @ X2)|~((cP_4 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_32, negated_conjecture, ![X3:$i, X2:$i, X5:$i, X6:$i, X4:$i, X1:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_2 @ c @ X4))|~((cP_2 @ b @ X5))|~((cP_2 @ a @ X6))|~((cP_3 @ X4 @ X3))|~((cP_3 @ X5 @ X2))|~((cP_3 @ X6 @ X1)))), inference(spm,[status(thm)],[c_0_28, c_0_29])). 0.18/0.50 thf(c_0_33, negated_conjecture, (cP_2 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_34, negated_conjecture, ![X1:$i, X3:$i, X4:$i, X2:$i, X5:$i, X6:$i]:((~((cP_4 @ (f @ X1) @ X2))|~((cP_4 @ (f @ X3) @ X4))|~((cQ_4 @ X5 @ X3 @ X1))|~((cP_4 @ X5 @ X6)))), inference(spm,[status(thm)],[c_0_30, c_0_31])). 0.18/0.50 thf(c_0_35, negated_conjecture, ![X2:$i, X4:$i, X5:$i, X3:$i, X1:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_2 @ b @ X4))|~((cP_2 @ a @ X5))|~((cP_3 @ c @ X3))|~((cP_3 @ X4 @ X2))|~((cP_3 @ X5 @ X1)))), inference(spm,[status(thm)],[c_0_32, c_0_33])). 0.18/0.50 thf(c_0_36, negated_conjecture, (cP_2 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_37, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_4 @ (f @ X1) @ X2))|~((cQ_4 @ X3 @ X1 @ X4))|~((cP_4 @ X3 @ X5))|~((cP_4 @ X4 @ X6)))), inference(spm,[status(thm)],[c_0_34, c_0_31])). 0.18/0.50 thf(c_0_38, negated_conjecture, ![X2:$i, X4:$i, X3:$i, X1:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_2 @ a @ X4))|~((cP_3 @ c @ X3))|~((cP_3 @ b @ X2))|~((cP_3 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_35, c_0_36])). 0.18/0.50 thf(c_0_39, negated_conjecture, (cP_2 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_40, negated_conjecture, ![X1:$i, X3:$i, X2:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_4 @ X1 @ X2 @ X3))|~((cP_4 @ X1 @ X4))|~((cP_4 @ X3 @ X5))|~((cP_4 @ X2 @ X6)))), inference(spm,[status(thm)],[c_0_37, c_0_31])). 0.18/0.50 thf(c_0_41, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_3 @ c @ X3))|~((cP_3 @ b @ X2))|~((cP_3 @ a @ X1)))), inference(spm,[status(thm)],[c_0_38, c_0_39])). 0.18/0.50 thf(c_0_42, negated_conjecture, ![X1:$i, X3:$i, X2:$i, X4:$i, X5:$i, X6:$i]:((~((cP_3 @ c @ X1))|~((cP_3 @ b @ X2))|~((cP_3 @ a @ X3))|~((cP_4 @ X3 @ X4))|~((cP_4 @ X1 @ X5))|~((cP_4 @ X2 @ X6)))), inference(spm,[status(thm)],[c_0_40, c_0_41])). 0.18/0.50 thf(c_0_43, negated_conjecture, (cP_3 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_44, negated_conjecture, ![X2:$i, X1:$i, X3:$i, X4:$i, X5:$i]:((~((cP_3 @ b @ X1))|~((cP_3 @ a @ X2))|~((cP_4 @ c @ X3))|~((cP_4 @ X2 @ X4))|~((cP_4 @ X1 @ X5)))), inference(spm,[status(thm)],[c_0_42, c_0_43])). 0.18/0.50 thf(c_0_45, negated_conjecture, (cP_3 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_46, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i]:((~((cP_3 @ a @ X1))|~((cP_4 @ c @ X2))|~((cP_4 @ b @ X3))|~((cP_4 @ X1 @ X4)))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 0.18/0.50 thf(c_0_47, negated_conjecture, (cP_3 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_48, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:((~((cP_4 @ c @ X1))|~((cP_4 @ b @ X2))|~((cP_4 @ a @ X3)))), inference(spm,[status(thm)],[c_0_46, c_0_47])). 0.18/0.50 thf(c_0_49, negated_conjecture, (cP_4 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_50, negated_conjecture, ![X1:$i, X2:$i]:((~((cP_4 @ b @ X1))|~((cP_4 @ a @ X2)))), inference(spm,[status(thm)],[c_0_48, c_0_49])). 0.18/0.50 thf(c_0_51, negated_conjecture, (cP_4 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_52, negated_conjecture, (cP_4 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.50 thf(c_0_53, negated_conjecture, ![X1:$i]:(~((cP_4 @ a @ X1))), inference(spm,[status(thm)],[c_0_50, c_0_51])). 0.18/0.50 thf(c_0_54, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_52, c_0_53]), ['proof']). 0.18/0.50 % SZS output end CNFRefutation 0.18/0.50 % Parsed axioms : 15 0.18/0.50 % Removed by relevancy pruning/SinE : 0 0.18/0.50 % Initial clauses : 40 0.18/0.50 % Removed in clause preprocessing : 14 0.18/0.50 % Initial clauses in saturation : 26 0.18/0.50 % Processed clauses : 53 0.18/0.50 % ...of these trivial : 0 0.18/0.50 % ...subsumed : 0 0.18/0.50 % ...remaining for further processing : 53 0.18/0.50 % Other redundant clauses eliminated : 0 0.18/0.50 % Clauses deleted for lack of memory : 0 0.18/0.50 % Backward-subsumed : 2 0.18/0.50 % Backward-rewritten : 0 0.18/0.50 % Generated clauses : 28 0.18/0.50 % ...of the previous two non-redundant : 27 0.18/0.50 % ...aggressively subsumed : 0 0.18/0.50 % Contextual simplify-reflections : 0 0.18/0.50 % Paramodulations : 27 0.18/0.50 % Factorizations : 0 0.18/0.50 % NegExts : 0 0.18/0.50 % Equation resolutions : 0 0.18/0.50 % Disequality decompositions : 0 0.18/0.50 % Total rewrite steps : 0 0.18/0.50 % ...of those cached : 0 0.18/0.50 % Propositional unsat checks : 0 0.18/0.50 % Propositional check models : 0 0.18/0.50 % Propositional check unsatisfiable : 0 0.18/0.50 % Propositional clauses : 0 0.18/0.50 % Propositional clauses after purity: 0 0.18/0.50 % Propositional unsat core size : 0 0.18/0.50 % Propositional preprocessing time : 0.000 0.18/0.50 % Propositional encoding time : 0.000 0.18/0.50 % Propositional solver time : 0.000 0.18/0.50 % Success case prop preproc time : 0.000 0.18/0.50 % Success case prop encoding time : 0.000 0.18/0.50 % Success case prop solver time : 0.000 0.18/0.50 % Current number of processed clauses : 50 0.18/0.50 % Positive orientable unit clauses : 16 0.18/0.50 % Positive unorientable unit clauses: 0 0.18/0.50 % Negative unit clauses : 2 0.18/0.50 % Non-unit-clauses : 32 0.18/0.50 % Current number of unprocessed clauses: 0 0.18/0.50 % ...number of literals in the above : 0 0.18/0.50 % Current number of archived formulas : 0 0.18/0.50 % Current number of archived clauses : 3 0.18/0.50 % Clause-clause subsumption calls (NU) : 144 0.18/0.50 % Rec. Clause-clause subsumption calls : 49 0.18/0.50 % Non-unit clause-clause subsumptions : 1 0.18/0.50 % Unit Clause-clause subsumption calls : 9 0.18/0.50 % Rewrite failures with RHS unbound : 0 0.18/0.50 % BW rewrite match attempts : 0 0.18/0.50 % BW rewrite match successes : 0 0.18/0.50 % Condensation attempts : 0 0.18/0.50 % Condensation successes : 0 0.18/0.50 % Termbank termtop insertions : 3614 0.18/0.50 % Search garbage collected termcells : 386 0.18/0.50 0.18/0.50 % ------------------------------------------------- 0.18/0.50 % User time : 0.009 s 0.18/0.50 % System time : 0.002 s 0.18/0.50 % Total time : 0.011 s 0.18/0.50 % Maximum resident set size: 3608 pages 0.18/0.50 0.18/0.50 % ------------------------------------------------- 0.18/0.50 % User time : 0.012 s 0.18/0.50 % System time : 0.005 s 0.18/0.50 % Total time : 0.018 s 0.18/0.50 % Maximum resident set size: 4864 pages 0.18/0.50 % E exiting 0.18/0.50 EOF