0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.10/0.36 % Computer : n021.cluster.edu 0.10/0.36 % Model : x86_64 x86_64 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.36 % Memory : 8046.5625MB 0.10/0.36 % OS : Linux 6.8.0-71-generic 0.10/0.36 % CPULimit : 1440 0.10/0.36 % WCLimit : 180 0.10/0.36 % DateTime : Mon Jul 27 09:20:53 UTC 2026 0.10/0.36 % CPUTime : 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.14/0.41 Running higher-order theorem proving 0.14/0.42 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=180 /export/starexec/sandbox/tmp/tmp.vq97O2t2Gc/E---3.1_620632.p 0.14/0.44 % Version: 3.5.1-ho 0.14/0.44 % Preprocessing class: HSMSSMSSSSSNFFN. 0.14/0.44 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.44 % Starting new_ho_10 with 900s (5) cores 0.14/0.44 % Starting new_bool_1 with 180s (1) cores 0.14/0.44 % Starting full_lambda_5 with 180s (1) cores 0.14/0.44 % Starting new_ho_10_unif with 180s (1) cores 0.14/0.44 % new_ho_10 with pid 620645 completed with status 0 0.14/0.44 % Result found by new_ho_10 0.14/0.44 % Preprocessing class: HSMSSMSSSSSNFFN. 0.14/0.44 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.44 % Starting new_ho_10 with 900s (5) cores 0.14/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 0.14/0.44 % No SInE strategy applied 0.14/0.44 % Search class: HHUNS-FFSM11-SFFFFFNN 0.14/0.44 % Scheduled 5 strats onto 5 cores with 900 seconds (900 total) 0.14/0.44 % Starting SubtermCWHack with 91s (1) cores 0.14/0.44 % Starting new_ho_10 with 541s (1) cores 0.14/0.44 % Starting sh5l with 91s (1) cores 0.14/0.44 % Starting new_bool_1 with 91s (1) cores 0.14/0.44 % Starting new_bool_2 with 86s (1) cores 0.14/0.44 % new_ho_10 with pid 620652 completed with status 0 0.14/0.44 % Result found by new_ho_10 0.14/0.44 % Preprocessing class: HSMSSMSSSSSNFFN. 0.14/0.44 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.44 % Starting new_ho_10 with 900s (5) cores 0.14/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 0.14/0.44 % No SInE strategy applied 0.14/0.44 % Search class: HHUNS-FFSM11-SFFFFFNN 0.14/0.44 % Scheduled 5 strats onto 5 cores with 900 seconds (900 total) 0.14/0.44 % Starting SubtermCWHack with 91s (1) cores 0.14/0.44 % Starting new_ho_10 with 541s (1) cores 0.14/0.44 % Preprocessing time : 0.001 s 0.14/0.44 % Presaturation interreduction done 0.14/0.44 0.14/0.44 % Proof found! 0.14/0.44 % SZS status Theorem 0.14/0.44 % SZS output start CNFRefutation 0.14/0.44 thf(decl_23, type, cQ_4: $i > $i > $i > $o). 0.14/0.44 thf(decl_24, type, f: $i > $i). 0.14/0.44 thf(decl_25, type, cP_3: $i > $i > $o). 0.14/0.44 thf(decl_26, type, cQ_3: $i > $i > $i > $o). 0.14/0.44 thf(decl_27, type, d: $i). 0.14/0.44 thf(decl_28, type, c: $i). 0.14/0.44 thf(decl_29, type, b: $i). 0.14/0.44 thf(decl_30, type, a: $i). 0.14/0.44 thf(decl_31, type, cP_2: $i > $i > $o). 0.14/0.44 thf(decl_32, type, cQ_2: $i > $i > $i > $o). 0.14/0.44 thf(decl_33, type, cP_1: $i > $i > $o). 0.14/0.44 thf(decl_34, type, cQ_1: $i > $i > $i > $o). 0.14/0.44 thf(cTHM409_3, conjecture, ~(((((((((((((((((((((cP_1 @ a @ a)&(cP_1 @ b @ b))&(cP_1 @ c @ c))&![X1:$i]:((cP_1 @ d @ X1)))&![X1:$i, X2:$i]:(((cP_1 @ (f @ X1) @ X2)|~((cP_1 @ X1 @ X2)))))&(cP_2 @ a @ a))&![X1:$i, X2:$i]:(((cP_2 @ (f @ X1) @ X2)|~((cP_2 @ X1 @ X2)))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_2 @ (f @ X1) @ X4))|~((cP_2 @ (f @ X3) @ X6))|(cQ_3 @ X4 @ X5 @ X6)|~((cP_2 @ (f @ X2) @ X5))|~((cQ_2 @ X1 @ X2 @ X3)))))&(cP_3 @ b @ b))&(cP_3 @ c @ c))&![X1:$i]:((cP_3 @ d @ X1)))&![X1:$i, X2:$i]:(((cP_3 @ (f @ X1) @ X2)|~((cP_3 @ X1 @ X2)))))&![X1:$i, X2:$i, X3:$i]:(~((cQ_4 @ X1 @ X2 @ X3))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_3 @ X1 @ X2 @ X3))|~((cP_3 @ (f @ X1) @ X4))|(cQ_4 @ X4 @ X5 @ X6)|~((cP_3 @ (f @ X3) @ X6))|~((cP_3 @ (f @ X2) @ X5)))))&(cP_3 @ a @ a))&![X1:$i]:((cP_2 @ d @ X1)))&(cP_2 @ c @ c))&(cP_2 @ b @ b))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_1 @ X1 @ X2 @ X3))|~((cP_1 @ (f @ X3) @ X6))|(cQ_2 @ X4 @ X5 @ X6)|~((cP_1 @ (f @ X2) @ X5))|~((cP_1 @ (f @ X1) @ X4)))))&(cQ_1 @ a @ b @ c))), file('/export/starexec/sandbox/tmp/tmp.vq97O2t2Gc/E---3.1_620632.p', cTHM409_3)). 0.14/0.44 thf(c_0_1, negated_conjecture, ~(~(((((((((((((((((((((cP_1 @ a @ a)&(cP_1 @ b @ b))&(cP_1 @ c @ c))&![X1:$i]:((cP_1 @ d @ X1)))&![X1:$i, X2:$i]:(((cP_1 @ (f @ X1) @ X2)|~((cP_1 @ X1 @ X2)))))&(cP_2 @ a @ a))&![X1:$i, X2:$i]:(((cP_2 @ (f @ X1) @ X2)|~((cP_2 @ X1 @ X2)))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_2 @ (f @ X1) @ X4))|~((cP_2 @ (f @ X3) @ X6))|(cQ_3 @ X4 @ X5 @ X6)|~((cP_2 @ (f @ X2) @ X5))|~((cQ_2 @ X1 @ X2 @ X3)))))&(cP_3 @ b @ b))&(cP_3 @ c @ c))&![X1:$i]:((cP_3 @ d @ X1)))&![X1:$i, X2:$i]:(((cP_3 @ (f @ X1) @ X2)|~((cP_3 @ X1 @ X2)))))&![X1:$i, X2:$i, X3:$i]:(~((cQ_4 @ X1 @ X2 @ X3))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_3 @ X1 @ X2 @ X3))|~((cP_3 @ (f @ X1) @ X4))|(cQ_4 @ X4 @ X5 @ X6)|~((cP_3 @ (f @ X3) @ X6))|~((cP_3 @ (f @ X2) @ X5)))))&(cP_3 @ a @ a))&![X1:$i]:((cP_2 @ d @ X1)))&(cP_2 @ c @ c))&(cP_2 @ b @ b))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_1 @ X1 @ X2 @ X3))|~((cP_1 @ (f @ X3) @ X6))|(cQ_2 @ X4 @ X5 @ X6)|~((cP_1 @ (f @ X2) @ X5))|~((cP_1 @ (f @ X1) @ X4)))))&(cQ_1 @ a @ b @ c)))), inference(assume_negation,[status(cth)],[cTHM409_3])). 0.14/0.44 thf(c_0_2, negated_conjecture, ~(~(((((((((((((((((((((cP_1 @ a @ a)&(cP_1 @ b @ b))&(cP_1 @ c @ c))&![X1:$i]:((cP_1 @ d @ X1)))&![X1:$i, X2:$i]:(((cP_1 @ (f @ X1) @ X2)|~(cP_1 @ X1 @ X2))))&(cP_2 @ a @ a))&![X1:$i, X2:$i]:(((cP_2 @ (f @ X1) @ X2)|~(cP_2 @ X1 @ X2))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cP_2 @ (f @ X1) @ X4)|~(cP_2 @ (f @ X3) @ X6)|(cQ_3 @ X4 @ X5 @ X6)|~(cP_2 @ (f @ X2) @ X5)|~(cQ_2 @ X1 @ X2 @ X3))))&(cP_3 @ b @ b))&(cP_3 @ c @ c))&![X1:$i]:((cP_3 @ d @ X1)))&![X1:$i, X2:$i]:(((cP_3 @ (f @ X1) @ X2)|~(cP_3 @ X1 @ X2))))&![X1:$i, X2:$i, X3:$i]:(~(cQ_4 @ X1 @ X2 @ X3)))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cQ_3 @ X1 @ X2 @ X3)|~(cP_3 @ (f @ X1) @ X4)|(cQ_4 @ X4 @ X5 @ X6)|~(cP_3 @ (f @ X3) @ X6)|~(cP_3 @ (f @ X2) @ X5))))&(cP_3 @ a @ a))&![X1:$i]:((cP_2 @ d @ X1)))&(cP_2 @ c @ c))&(cP_2 @ b @ b))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cQ_1 @ X1 @ X2 @ X3)|~(cP_1 @ (f @ X3) @ X6)|(cQ_2 @ X4 @ X5 @ X6)|~(cP_1 @ (f @ X2) @ X5)|~(cP_1 @ (f @ X1) @ X4))))&(cQ_1 @ a @ b @ c)))), inference(fof_simplification,[status(thm)],[c_0_1])). 0.14/0.44 thf(c_0_3, negated_conjecture, ![X37:$i, X38:$i, X39:$i, X40:$i, X41:$i, X42:$i, X43:$i, X44:$i, X45:$i, 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:$i]:(((((((((((((((((((((cP_1 @ a @ a)&(cP_1 @ b @ b))&(cP_1 @ c @ c))&(cP_1 @ d @ X37))&((cP_1 @ (f @ X38) @ X39)|~(cP_1 @ X38 @ X39)))&(cP_2 @ a @ a))&((cP_2 @ (f @ X40) @ X41)|~(cP_2 @ X40 @ X41)))&(~(cP_2 @ (f @ X42) @ X45)|~(cP_2 @ (f @ X44) @ X47)|(cQ_3 @ X45 @ X46 @ X47)|~(cP_2 @ (f @ X43) @ X46)|~(cQ_2 @ X42 @ X43 @ X44)))&(cP_3 @ b @ b))&(cP_3 @ c @ c))&(cP_3 @ d @ X48))&((cP_3 @ (f @ X49) @ X50)|~(cP_3 @ X49 @ X50)))&~(cQ_4 @ X51 @ X52 @ X53))&(~(cQ_3 @ X54 @ X55 @ X56)|~(cP_3 @ (f @ X54) @ X57)|(cQ_4 @ X57 @ X58 @ X59)|~(cP_3 @ (f @ X56) @ X59)|~(cP_3 @ (f @ X55) @ X58)))&(cP_3 @ a @ a))&(cP_2 @ d @ X60))&(cP_2 @ c @ c))&(cP_2 @ b @ b))&(~(cQ_1 @ X61 @ X62 @ X63)|~(cP_1 @ (f @ X63) @ X66)|(cQ_2 @ X64 @ X65 @ X66)|~(cP_1 @ (f @ X62) @ X65)|~(cP_1 @ (f @ X61) @ X64)))&(cQ_1 @ a @ b @ c))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])). 0.14/0.44 thf(c_0_4, negated_conjecture, ![X2:$i, X1:$i, X4:$i, X3:$i, X6:$i, X5:$i]:(((cQ_2 @ X5 @ X6 @ X4)|~((cQ_1 @ X1 @ X2 @ X3))|~((cP_1 @ (f @ X3) @ X4))|~((cP_1 @ (f @ X2) @ X6))|~((cP_1 @ (f @ X1) @ X5)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_5, negated_conjecture, ![X1:$i, X2:$i]:(((cP_1 @ (f @ X1) @ X2)|~((cP_1 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_6, negated_conjecture, ![X1:$i, X2:$i, X5:$i, X6:$i, X4:$i, X3:$i]:(((cQ_3 @ X2 @ X5 @ X4)|~((cP_2 @ (f @ X1) @ X2))|~((cP_2 @ (f @ X3) @ X4))|~((cP_2 @ (f @ X6) @ X5))|~((cQ_2 @ X1 @ X6 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_7, negated_conjecture, ![X1:$i, X2:$i]:(((cP_2 @ (f @ X1) @ X2)|~((cP_2 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_8, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X6:$i, X5:$i, X3:$i]:(((cQ_2 @ X1 @ X2 @ X3)|~((cP_1 @ (f @ X4) @ X2))|~((cP_1 @ (f @ X5) @ X1))|~((cQ_1 @ X5 @ X4 @ X6))|~((cP_1 @ X6 @ X3)))), inference(spm,[status(thm)],[c_0_4, c_0_5])). 0.14/0.44 thf(c_0_9, negated_conjecture, ![X1:$i, X3:$i, X4:$i, X6:$i, X5:$i, X2:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_2 @ (f @ X4) @ X3))|~((cP_2 @ (f @ X5) @ X1))|~((cQ_2 @ X5 @ X6 @ X4))|~((cP_2 @ X6 @ X2)))), inference(spm,[status(thm)],[c_0_6, c_0_7])). 0.14/0.44 thf(c_0_10, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i, X3:$i, X2:$i]:(((cQ_2 @ X1 @ X2 @ X3)|~((cP_1 @ (f @ X4) @ X1))|~((cQ_1 @ X4 @ X5 @ X6))|~((cP_1 @ X6 @ X3))|~((cP_1 @ X5 @ X2)))), inference(spm,[status(thm)],[c_0_8, c_0_5])). 0.14/0.44 thf(c_0_11, negated_conjecture, ![X1:$i, X2:$i, X5:$i, X6:$i, X4:$i, X3:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_2 @ (f @ X4) @ X1))|~((cQ_2 @ X4 @ X5 @ X6))|~((cP_2 @ X5 @ X2))|~((cP_2 @ X6 @ X3)))), inference(spm,[status(thm)],[c_0_9, c_0_7])). 0.14/0.44 thf(c_0_12, negated_conjecture, ![X2:$i, X6:$i, X5:$i, X4:$i, X3:$i, X1:$i]:(((cQ_2 @ X1 @ X2 @ X3)|~((cQ_1 @ X4 @ X5 @ X6))|~((cP_1 @ X6 @ X3))|~((cP_1 @ X5 @ X2))|~((cP_1 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_10, c_0_5])). 0.14/0.44 thf(c_0_13, negated_conjecture, (cQ_1 @ a @ b @ c), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_14, negated_conjecture, ![X1:$i, X3:$i, X2:$i, X4:$i, X6:$i, X5:$i]:(((cQ_4 @ X4 @ X5 @ X6)|~((cQ_3 @ X1 @ X2 @ X3))|~((cP_3 @ (f @ X1) @ X4))|~((cP_3 @ (f @ X3) @ X6))|~((cP_3 @ (f @ X2) @ X5)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_15, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:(~((cQ_4 @ X1 @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_16, negated_conjecture, ![X2:$i, X5:$i, X6:$i, X4:$i, X3:$i, X1:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cQ_2 @ X4 @ X5 @ X6))|~((cP_2 @ X5 @ X2))|~((cP_2 @ X6 @ X3))|~((cP_2 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_11, c_0_7])). 0.14/0.44 thf(c_0_17, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(((cQ_2 @ X1 @ X2 @ X3)|~((cP_1 @ c @ X3))|~((cP_1 @ b @ X2))|~((cP_1 @ a @ X1)))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 0.14/0.44 thf(c_0_18, negated_conjecture, ![X6:$i, X5:$i, X4:$i, X3:$i, X2:$i, X1:$i]:((~((cP_3 @ (f @ X1) @ X2))|~((cP_3 @ (f @ X3) @ X4))|~((cP_3 @ (f @ X5) @ X6))|~((cQ_3 @ X5 @ X3 @ X1)))), inference(sr,[status(thm)],[c_0_14, c_0_15])). 0.14/0.44 thf(c_0_19, negated_conjecture, ![X1:$i, X2:$i]:(((cP_3 @ (f @ X1) @ X2)|~((cP_3 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_20, negated_conjecture, ![X3:$i, X2:$i, X5:$i, X6:$i, X4:$i, X1:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_1 @ c @ X4))|~((cP_1 @ b @ X5))|~((cP_1 @ a @ X6))|~((cP_2 @ X5 @ X2))|~((cP_2 @ X4 @ X3))|~((cP_2 @ X6 @ X1)))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.14/0.44 thf(c_0_21, negated_conjecture, (cP_1 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_22, negated_conjecture, ![X1:$i, X3:$i, X2:$i, X4:$i, X5:$i, X6:$i]:((~((cP_3 @ (f @ X1) @ X2))|~((cP_3 @ (f @ X3) @ X4))|~((cQ_3 @ X3 @ X1 @ X5))|~((cP_3 @ X5 @ X6)))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.14/0.44 thf(c_0_23, negated_conjecture, ![X2:$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_20, c_0_21])). 0.14/0.44 thf(c_0_24, negated_conjecture, (cP_1 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_25, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_3 @ (f @ X1) @ X2))|~((cQ_3 @ X1 @ X3 @ X4))|~((cP_3 @ X4 @ X5))|~((cP_3 @ X3 @ X6)))), inference(spm,[status(thm)],[c_0_22, c_0_19])). 0.14/0.44 thf(c_0_26, 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_23, c_0_24])). 0.14/0.44 thf(c_0_27, negated_conjecture, (cP_1 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_28, negated_conjecture, ![X3:$i, X2:$i, X1:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_3 @ X1 @ X2 @ X3))|~((cP_3 @ X3 @ X4))|~((cP_3 @ X2 @ X5))|~((cP_3 @ X1 @ X6)))), inference(spm,[status(thm)],[c_0_25, c_0_19])). 0.14/0.44 thf(c_0_29, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_2 @ c @ X3))|~((cP_2 @ b @ X2))|~((cP_2 @ a @ X1)))), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.14/0.44 thf(c_0_30, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_2 @ c @ X1))|~((cP_2 @ b @ X2))|~((cP_2 @ a @ X3))|~((cP_3 @ X1 @ X4))|~((cP_3 @ X2 @ X5))|~((cP_3 @ X3 @ X6)))), inference(spm,[status(thm)],[c_0_28, c_0_29])). 0.14/0.44 thf(c_0_31, negated_conjecture, (cP_2 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_32, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i]:((~((cP_2 @ b @ X1))|~((cP_2 @ a @ X2))|~((cP_3 @ c @ X3))|~((cP_3 @ X1 @ X4))|~((cP_3 @ X2 @ X5)))), inference(spm,[status(thm)],[c_0_30, c_0_31])). 0.14/0.44 thf(c_0_33, negated_conjecture, (cP_2 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_34, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i]:((~((cP_2 @ a @ X1))|~((cP_3 @ c @ X2))|~((cP_3 @ b @ X3))|~((cP_3 @ X1 @ X4)))), inference(spm,[status(thm)],[c_0_32, c_0_33])). 0.14/0.44 thf(c_0_35, negated_conjecture, (cP_2 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_36, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:((~((cP_3 @ c @ X1))|~((cP_3 @ b @ X2))|~((cP_3 @ a @ X3)))), inference(spm,[status(thm)],[c_0_34, c_0_35])). 0.14/0.44 thf(c_0_37, negated_conjecture, (cP_3 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_38, negated_conjecture, ![X1:$i, X2:$i]:((~((cP_3 @ b @ X1))|~((cP_3 @ a @ X2)))), inference(spm,[status(thm)],[c_0_36, c_0_37])). 0.14/0.44 thf(c_0_39, negated_conjecture, (cP_3 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_40, negated_conjecture, (cP_3 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_3])). 0.14/0.44 thf(c_0_41, negated_conjecture, ![X1:$i]:(~((cP_3 @ a @ X1))), inference(spm,[status(thm)],[c_0_38, c_0_39])). 0.14/0.44 thf(c_0_42, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_40, c_0_41]), ['proof']). 0.14/0.44 % SZS output end CNFRefutation 0.14/0.44 % Parsed axioms : 13 0.14/0.44 % Removed by relevancy pruning/SinE : 0 0.14/0.44 % Initial clauses : 32 0.14/0.44 % Removed in clause preprocessing : 12 0.14/0.44 % Initial clauses in saturation : 20 0.14/0.44 % Processed clauses : 60 0.14/0.44 % ...of these trivial : 0 0.14/0.44 % ...subsumed : 0 0.14/0.44 % ...remaining for further processing : 60 0.14/0.44 % Other redundant clauses eliminated : 0 0.14/0.44 % Clauses deleted for lack of memory : 0 0.14/0.44 % Backward-subsumed : 2 0.14/0.44 % Backward-rewritten : 0 0.14/0.44 % Generated clauses : 21 0.14/0.44 % ...of the previous two non-redundant : 20 0.14/0.44 % ...aggressively subsumed : 0 0.14/0.44 % Contextual simplify-reflections : 0 0.14/0.44 % Paramodulations : 20 0.14/0.44 % Factorizations : 0 0.14/0.44 % NegExts : 0 0.14/0.44 % Equation resolutions : 0 0.14/0.44 % Disequality decompositions : 0 0.14/0.44 % Total rewrite steps : 0 0.14/0.44 % ...of those cached : 0 0.14/0.44 % Propositional unsat checks : 0 0.14/0.44 % Propositional check models : 0 0.14/0.44 % Propositional check unsatisfiable : 0 0.14/0.44 % Propositional clauses : 0 0.14/0.44 % Propositional clauses after purity: 0 0.14/0.44 % Propositional unsat core size : 0 0.14/0.44 % Propositional preprocessing time : 0.000 0.14/0.44 % Propositional encoding time : 0.000 0.14/0.44 % Propositional solver time : 0.000 0.14/0.44 % Success case prop preproc time : 0.000 0.14/0.44 % Success case prop encoding time : 0.000 0.14/0.44 % Success case prop solver time : 0.000 0.14/0.44 % Current number of processed clauses : 37 0.14/0.44 % Positive orientable unit clauses : 12 0.14/0.44 % Positive unorientable unit clauses: 0 0.14/0.44 % Negative unit clauses : 2 0.14/0.44 % Non-unit-clauses : 23 0.14/0.44 % Current number of unprocessed clauses: 0 0.14/0.44 % ...number of literals in the above : 0 0.14/0.44 % Current number of archived formulas : 0 0.14/0.44 % Current number of archived clauses : 23 0.14/0.44 % Clause-clause subsumption calls (NU) : 165 0.14/0.44 % Rec. Clause-clause subsumption calls : 47 0.14/0.44 % Non-unit clause-clause subsumptions : 1 0.14/0.44 % Unit Clause-clause subsumption calls : 9 0.14/0.44 % Rewrite failures with RHS unbound : 0 0.14/0.44 % BW rewrite match attempts : 0 0.14/0.44 % BW rewrite match successes : 0 0.14/0.44 % Condensation attempts : 60 0.14/0.44 % Condensation successes : 0 0.14/0.44 % Termbank termtop insertions : 3417 0.14/0.44 % Search garbage collected termcells : 290 0.14/0.44 0.14/0.44 % ------------------------------------------------- 0.14/0.44 % User time : 0.007 s 0.14/0.44 % System time : 0.002 s 0.14/0.44 % Total time : 0.009 s 0.14/0.44 % Maximum resident set size: 3652 pages 0.14/0.44 0.14/0.44 % ------------------------------------------------- 0.14/0.44 % User time : 0.019 s 0.14/0.44 % System time : 0.009 s 0.14/0.44 % Total time : 0.029 s 0.14/0.44 % Maximum resident set size: 4864 pages 0.14/0.44 % E exiting 0.14/0.44 EOF