0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.13/0.34 % Computer : n004.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1920 0.13/0.34 % WCLimit : 240 0.13/0.34 % DateTime : Wed Jul 30 02:04:34 EDT 2025 0.13/0.35 % CPUTime : 0.20/0.50 Running higher-order theorem proving 0.20/0.51 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.oJscp0nZTA/E---3.1_17663.p 0.20/0.54 # Version: 3.0.0-ho 0.20/0.54 # Preprocessing class: HSMSSMSSSSSNFFN. 0.20/0.54 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.54 # Starting new_ho_10 with 1200s (5) cores 0.20/0.54 # Starting new_bool_1 with 240s (1) cores 0.20/0.54 # Starting full_lambda_5 with 240s (1) cores 0.20/0.54 # Starting new_ho_10_unif with 240s (1) cores 0.20/0.54 # new_ho_10_unif with pid 17744 completed with status 0 0.20/0.54 # Result found by new_ho_10_unif 0.20/0.54 # Preprocessing class: HSMSSMSSSSSNFFN. 0.20/0.54 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.54 # Starting new_ho_10 with 1200s (5) cores 0.20/0.54 # Starting new_bool_1 with 240s (1) cores 0.20/0.54 # Starting full_lambda_5 with 240s (1) cores 0.20/0.54 # Starting new_ho_10_unif with 240s (1) cores 0.20/0.54 # No SInE strategy applied 0.20/0.54 # Search class: HHUNM-FFMM11-SFFFFFNN 0.20/0.54 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.20/0.54 # Starting new_ho_10 with 130s (1) cores 0.20/0.54 # new_ho_10 with pid 17751 completed with status 0 0.20/0.54 # Result found by new_ho_10 0.20/0.54 # Preprocessing class: HSMSSMSSSSSNFFN. 0.20/0.54 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.20/0.54 # Starting new_ho_10 with 1200s (5) cores 0.20/0.54 # Starting new_bool_1 with 240s (1) cores 0.20/0.54 # Starting full_lambda_5 with 240s (1) cores 0.20/0.54 # Starting new_ho_10_unif with 240s (1) cores 0.20/0.54 # No SInE strategy applied 0.20/0.54 # Search class: HHUNM-FFMM11-SFFFFFNN 0.20/0.54 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.20/0.54 # Starting new_ho_10 with 130s (1) cores 0.20/0.54 # Preprocessing time : 0.001 s 0.20/0.54 # Presaturation interreduction done 0.20/0.54 0.20/0.54 # Proof found! 0.20/0.54 # SZS status Theorem 0.20/0.54 # SZS output start CNFRefutation 0.20/0.54 thf(decl_23, type, cQ_7: $i > $i > $i > $o). 0.20/0.54 thf(decl_24, type, f: $i > $i). 0.20/0.54 thf(decl_25, type, cP_6: $i > $i > $o). 0.20/0.54 thf(decl_26, type, cQ_6: $i > $i > $i > $o). 0.20/0.54 thf(decl_27, type, d: $i). 0.20/0.54 thf(decl_28, type, c: $i). 0.20/0.54 thf(decl_29, type, b: $i). 0.20/0.54 thf(decl_30, type, a: $i). 0.20/0.54 thf(decl_31, type, cP_5: $i > $i > $o). 0.20/0.54 thf(decl_32, type, cQ_5: $i > $i > $i > $o). 0.20/0.54 thf(decl_33, type, cP_4: $i > $i > $o). 0.20/0.54 thf(decl_34, type, cQ_4: $i > $i > $i > $o). 0.20/0.54 thf(decl_35, type, cP_3: $i > $i > $o). 0.20/0.54 thf(decl_36, type, cQ_3: $i > $i > $i > $o). 0.20/0.54 thf(decl_37, type, cP_2: $i > $i > $o). 0.20/0.54 thf(decl_38, type, cQ_2: $i > $i > $i > $o). 0.20/0.54 thf(decl_39, type, cP_1: $i > $i > $o). 0.20/0.54 thf(decl_40, type, cQ_1: $i > $i > $i > $o). 0.20/0.54 thf(cTHM409_6, conjecture, ~(((((((((((((((((((((((((((((((((((((((cP_1 @ a @ a)&(cP_1 @ b @ b))&(cP_1 @ c @ c))&(cP_2 @ b @ b))&![X1:$i]:((cP_2 @ d @ X1)))&![X1:$i, X2:$i]:((~((cP_2 @ X1 @ X2))|(cP_2 @ (f @ X1) @ X2))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_2 @ (f @ X2) @ X5))|~((cP_2 @ (f @ X3) @ X6))|(cQ_3 @ X4 @ X5 @ X6)|~((cP_2 @ (f @ X1) @ X4))|~((cQ_2 @ X1 @ X2 @ X3)))))&(cP_3 @ a @ a))&(cP_3 @ b @ b))&(cP_4 @ b @ b))&(cP_4 @ c @ c))&![X1:$i]:((cP_4 @ d @ X1)))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_4 @ X1 @ X2 @ X3))|~((cP_4 @ (f @ X1) @ X4))|(cQ_5 @ X4 @ X5 @ X6)|~((cP_4 @ (f @ X3) @ X6))|~((cP_4 @ (f @ X2) @ X5)))))&(cP_5 @ a @ a))&(cP_5 @ b @ b))&![X1:$i, X2:$i]:(((cP_6 @ (f @ X1) @ X2)|~((cP_6 @ X1 @ X2)))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_6 @ X1 @ X2 @ X3))|~((cP_6 @ (f @ X2) @ X5))|(cQ_7 @ X4 @ X5 @ X6)|~((cP_6 @ (f @ X3) @ X6))|~((cP_6 @ (f @ X1) @ X4)))))&![X1:$i, X2:$i, X3:$i]:(~((cQ_7 @ X1 @ X2 @ X3))))&![X1:$i]:((cP_6 @ d @ X1)))&(cP_6 @ c @ c))&(cP_6 @ b @ b))&(cP_6 @ a @ a))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_5 @ X1 @ X2 @ X3))|(cQ_6 @ X4 @ X5 @ X6)|~((cP_5 @ (f @ X3) @ X6))|~((cP_5 @ (f @ X2) @ X5))|~((cP_5 @ (f @ X1) @ X4)))))&![X1:$i, X2:$i]:(((cP_5 @ (f @ X1) @ X2)|~((cP_5 @ X1 @ X2)))))&![X1:$i]:((cP_5 @ d @ X1)))&(cP_5 @ c @ c))&![X1:$i, X2:$i]:(((cP_4 @ (f @ X1) @ X2)|~((cP_4 @ X1 @ X2)))))&(cP_4 @ a @ a))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_3 @ (f @ X1) @ X4))|(cQ_4 @ X4 @ X5 @ X6)|~((cP_3 @ (f @ X3) @ X6))|~((cP_3 @ (f @ X2) @ X5))|~((cQ_3 @ X1 @ X2 @ X3)))))&![X1:$i, X2:$i]:(((cP_3 @ (f @ X1) @ X2)|~((cP_3 @ X1 @ X2)))))&![X1:$i]:((cP_3 @ d @ X1)))&(cP_3 @ c @ c))&(cP_2 @ c @ c))&(cP_2 @ a @ a))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_1 @ X1 @ X2 @ X3))|(cQ_2 @ X4 @ X5 @ X6)|~((cP_1 @ (f @ X3) @ X6))|~((cP_1 @ (f @ X2) @ X5))|~((cP_1 @ (f @ X1) @ X4)))))&![X1:$i, X2:$i]:(((cP_1 @ (f @ X1) @ X2)|~((cP_1 @ X1 @ X2)))))&![X1:$i]:((cP_1 @ d @ X1)))&(cQ_1 @ a @ b @ c))), file('/export/starexec/sandbox2/tmp/tmp.oJscp0nZTA/E---3.1_17663.p', cTHM409_6)). 0.20/0.54 thf(c_0_1, negated_conjecture, ~(~(((((((((((((((((((((((((((((((((((((((cP_1 @ a @ a)&(cP_1 @ b @ b))&(cP_1 @ c @ c))&(cP_2 @ b @ b))&![X1:$i]:((cP_2 @ d @ X1)))&![X1:$i, X2:$i]:((~(cP_2 @ X1 @ X2)|(cP_2 @ (f @ X1) @ X2))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cP_2 @ (f @ X2) @ X5)|~(cP_2 @ (f @ X3) @ X6)|(cQ_3 @ X4 @ X5 @ X6)|~(cP_2 @ (f @ X1) @ X4)|~(cQ_2 @ X1 @ X2 @ X3))))&(cP_3 @ a @ a))&(cP_3 @ b @ b))&(cP_4 @ b @ b))&(cP_4 @ c @ c))&![X1:$i]:((cP_4 @ d @ X1)))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cQ_4 @ X1 @ X2 @ X3)|~(cP_4 @ (f @ X1) @ X4)|(cQ_5 @ X4 @ X5 @ X6)|~(cP_4 @ (f @ X3) @ X6)|~(cP_4 @ (f @ X2) @ X5))))&(cP_5 @ a @ a))&(cP_5 @ b @ b))&![X1:$i, X2:$i]:(((cP_6 @ (f @ X1) @ X2)|~(cP_6 @ X1 @ X2))))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cQ_6 @ X1 @ X2 @ X3)|~(cP_6 @ (f @ X2) @ X5)|(cQ_7 @ X4 @ X5 @ X6)|~(cP_6 @ (f @ X3) @ X6)|~(cP_6 @ (f @ X1) @ X4))))&![X1:$i, X2:$i, X3:$i]:(~(cQ_7 @ X1 @ X2 @ X3)))&![X1:$i]:((cP_6 @ d @ X1)))&(cP_6 @ c @ c))&(cP_6 @ b @ b))&(cP_6 @ a @ a))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cQ_5 @ X1 @ X2 @ X3)|(cQ_6 @ X4 @ X5 @ X6)|~(cP_5 @ (f @ X3) @ X6)|~(cP_5 @ (f @ X2) @ X5)|~(cP_5 @ (f @ X1) @ X4))))&![X1:$i, X2:$i]:(((cP_5 @ (f @ X1) @ X2)|~(cP_5 @ X1 @ X2))))&![X1:$i]:((cP_5 @ d @ X1)))&(cP_5 @ c @ c))&![X1:$i, X2:$i]:(((cP_4 @ (f @ X1) @ X2)|~(cP_4 @ X1 @ X2))))&(cP_4 @ a @ a))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cP_3 @ (f @ X1) @ X4)|(cQ_4 @ X4 @ X5 @ X6)|~(cP_3 @ (f @ X3) @ X6)|~(cP_3 @ (f @ X2) @ X5)|~(cQ_3 @ X1 @ X2 @ X3))))&![X1:$i, X2:$i]:(((cP_3 @ (f @ X1) @ X2)|~(cP_3 @ X1 @ X2))))&![X1:$i]:((cP_3 @ d @ X1)))&(cP_3 @ c @ c))&(cP_2 @ c @ c))&(cP_2 @ a @ a))&![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~(cQ_1 @ X1 @ X2 @ X3)|(cQ_2 @ X4 @ X5 @ X6)|~(cP_1 @ (f @ X3) @ X6)|~(cP_1 @ (f @ X2) @ X5)|~(cP_1 @ (f @ X1) @ X4))))&![X1:$i, X2:$i]:(((cP_1 @ (f @ X1) @ X2)|~(cP_1 @ X1 @ X2))))&![X1:$i]:((cP_1 @ d @ X1)))&(cQ_1 @ a @ b @ c)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM409_6])])). 0.20/0.54 thf(c_0_2, negated_conjecture, ![X64:$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, X85:$i, X86:$i, X87:$i, X88:$i, X89:$i, X90:$i, X91:$i, X92:$i, X93:$i, X94:$i, X95:$i, X96:$i, X97:$i, X98:$i, X99:$i, X100:$i, X101:$i, X102:$i, X103:$i, X104:$i, X105:$i, X106:$i, X107:$i, X108:$i, X109:$i, X110:$i, X111:$i, X112:$i, X113:$i, X114:$i, X115:$i, X116:$i, X117:$i, X118:$i, X119:$i, X120:$i]:(((((((((((((((((((((((((((((((((((((((cP_1 @ a @ a)&(cP_1 @ b @ b))&(cP_1 @ c @ c))&(cP_2 @ b @ b))&(cP_2 @ d @ X64))&(~(cP_2 @ X65 @ X66)|(cP_2 @ (f @ X65) @ X66)))&(~(cP_2 @ (f @ X68) @ X71)|~(cP_2 @ (f @ X69) @ X72)|(cQ_3 @ X70 @ X71 @ X72)|~(cP_2 @ (f @ X67) @ X70)|~(cQ_2 @ X67 @ X68 @ X69)))&(cP_3 @ a @ a))&(cP_3 @ b @ b))&(cP_4 @ b @ b))&(cP_4 @ c @ c))&(cP_4 @ d @ X73))&(~(cQ_4 @ X74 @ X75 @ X76)|~(cP_4 @ (f @ X74) @ X77)|(cQ_5 @ X77 @ X78 @ X79)|~(cP_4 @ (f @ X76) @ X79)|~(cP_4 @ (f @ X75) @ X78)))&(cP_5 @ a @ a))&(cP_5 @ b @ b))&((cP_6 @ (f @ X80) @ X81)|~(cP_6 @ X80 @ X81)))&(~(cQ_6 @ X82 @ X83 @ X84)|~(cP_6 @ (f @ X83) @ X86)|(cQ_7 @ X85 @ X86 @ X87)|~(cP_6 @ (f @ X84) @ X87)|~(cP_6 @ (f @ X82) @ X85)))&~(cQ_7 @ X88 @ X89 @ X90))&(cP_6 @ d @ X91))&(cP_6 @ c @ c))&(cP_6 @ b @ b))&(cP_6 @ a @ a))&(~(cQ_5 @ X92 @ X93 @ X94)|(cQ_6 @ X95 @ X96 @ X97)|~(cP_5 @ (f @ X94) @ X97)|~(cP_5 @ (f @ X93) @ X96)|~(cP_5 @ (f @ X92) @ X95)))&((cP_5 @ (f @ X98) @ X99)|~(cP_5 @ X98 @ X99)))&(cP_5 @ d @ X100))&(cP_5 @ c @ c))&((cP_4 @ (f @ X101) @ X102)|~(cP_4 @ X101 @ X102)))&(cP_4 @ a @ a))&(~(cP_3 @ (f @ X103) @ X106)|(cQ_4 @ X106 @ X107 @ X108)|~(cP_3 @ (f @ X105) @ X108)|~(cP_3 @ (f @ X104) @ X107)|~(cQ_3 @ X103 @ X104 @ X105)))&((cP_3 @ (f @ X109) @ X110)|~(cP_3 @ X109 @ X110)))&(cP_3 @ d @ X111))&(cP_3 @ c @ c))&(cP_2 @ c @ c))&(cP_2 @ a @ a))&(~(cQ_1 @ X112 @ X113 @ X114)|(cQ_2 @ X115 @ X116 @ X117)|~(cP_1 @ (f @ X114) @ X117)|~(cP_1 @ (f @ X113) @ X116)|~(cP_1 @ (f @ X112) @ X115)))&((cP_1 @ (f @ X118) @ X119)|~(cP_1 @ X118 @ X119)))&(cP_1 @ d @ X120))&(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])])])])). 0.20/0.54 thf(c_0_3, negated_conjecture, ![X3:$i, X2:$i, X1:$i, X6:$i, X5:$i, X4:$i]:(((cQ_2 @ X4 @ X5 @ X6)|~((cQ_1 @ X1 @ X2 @ X3))|~((cP_1 @ (f @ X3) @ X6))|~((cP_1 @ (f @ X2) @ X5))|~((cP_1 @ (f @ X1) @ X4)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 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])). 0.20/0.54 thf(c_0_5, negated_conjecture, ![X2:$i, X1:$i, X4:$i, X6:$i, X5:$i, X3:$i]:(((cQ_3 @ X5 @ X2 @ X4)|~((cP_2 @ (f @ X1) @ X2))|~((cP_2 @ (f @ X3) @ X4))|~((cP_2 @ (f @ X6) @ X5))|~((cQ_2 @ X6 @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 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])). 0.20/0.54 thf(c_0_7, 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_3, c_0_4])). 0.20/0.54 thf(c_0_8, negated_conjecture, ![X3:$i, X4:$i, X2:$i, X6:$i, X5:$i, X1:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_2 @ (f @ X4) @ X3))|~((cP_2 @ (f @ X5) @ X2))|~((cQ_2 @ X6 @ X5 @ X4))|~((cP_2 @ X6 @ X1)))), inference(spm,[status(thm)],[c_0_5, c_0_6])). 0.20/0.54 thf(c_0_9, 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_7, c_0_4])). 0.20/0.54 thf(c_0_10, negated_conjecture, ![X1:$i, X2:$i, X5:$i, X6:$i, X4:$i, X3:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_2 @ (f @ X4) @ X2))|~((cQ_2 @ X5 @ X4 @ X6))|~((cP_2 @ X5 @ X1))|~((cP_2 @ X6 @ X3)))), inference(spm,[status(thm)],[c_0_8, c_0_6])). 0.20/0.54 thf(c_0_11, 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_9, c_0_4])). 0.20/0.54 thf(c_0_12, negated_conjecture, (cQ_1 @ a @ b @ c), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_13, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i, X3:$i, X2:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cQ_2 @ X4 @ X5 @ X6))|~((cP_2 @ X4 @ X1))|~((cP_2 @ X6 @ X3))|~((cP_2 @ X5 @ X2)))), inference(spm,[status(thm)],[c_0_10, c_0_6])). 0.20/0.54 thf(c_0_14, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(((cQ_2 @ X1 @ X2 @ X3)|~((cP_1 @ c @ X3))|~((cP_1 @ b @ X2))|~((cP_1 @ a @ X1)))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.20/0.54 thf(c_0_15, negated_conjecture, ![X1:$i, X4:$i, X3:$i, X2:$i, X6:$i, X5:$i]:(((cQ_4 @ X2 @ X3 @ X4)|~((cP_3 @ (f @ X1) @ X2))|~((cP_3 @ (f @ X5) @ X4))|~((cP_3 @ (f @ X6) @ X3))|~((cQ_3 @ X1 @ X6 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_16, negated_conjecture, ![X1:$i, X2:$i]:(((cP_3 @ (f @ X1) @ X2)|~((cP_3 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_17, negated_conjecture, ![X1:$i, X3:$i, X6:$i, X5:$i, X4:$i, X2:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_1 @ c @ X4))|~((cP_1 @ b @ X5))|~((cP_1 @ a @ X6))|~((cP_2 @ X6 @ X1))|~((cP_2 @ X4 @ X3))|~((cP_2 @ X5 @ X2)))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.20/0.54 thf(c_0_18, negated_conjecture, (cP_1 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_19, negated_conjecture, ![X1:$i, X3:$i, X4:$i, X6:$i, X5:$i, X2:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_3 @ (f @ X4) @ X3))|~((cP_3 @ (f @ X5) @ X1))|~((cQ_3 @ X5 @ X6 @ X4))|~((cP_3 @ X6 @ X2)))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.20/0.54 thf(c_0_20, negated_conjecture, ![X1:$i, X3:$i, X5:$i, X4:$i, X2:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_1 @ b @ X4))|~((cP_1 @ a @ X5))|~((cP_2 @ c @ X3))|~((cP_2 @ X5 @ X1))|~((cP_2 @ X4 @ X2)))), inference(spm,[status(thm)],[c_0_17, c_0_18])). 0.20/0.54 thf(c_0_21, negated_conjecture, (cP_1 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_22, negated_conjecture, ![X1:$i, X2:$i, X5:$i, X6:$i, X4:$i, X3:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_3 @ (f @ X4) @ X1))|~((cQ_3 @ X4 @ X5 @ X6))|~((cP_3 @ X5 @ X2))|~((cP_3 @ X6 @ X3)))), inference(spm,[status(thm)],[c_0_19, c_0_16])). 0.20/0.54 thf(c_0_23, 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_20, c_0_21])). 0.20/0.54 thf(c_0_24, negated_conjecture, (cP_1 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_25, negated_conjecture, ![X2:$i, X5:$i, X6:$i, X4:$i, X3:$i, X1:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cQ_3 @ X4 @ X5 @ X6))|~((cP_3 @ X5 @ X2))|~((cP_3 @ X6 @ X3))|~((cP_3 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_22, c_0_16])). 0.20/0.54 thf(c_0_26, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(((cQ_3 @ X1 @ X2 @ X3)|~((cP_2 @ c @ X3))|~((cP_2 @ b @ X2))|~((cP_2 @ a @ X1)))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.20/0.54 thf(c_0_27, negated_conjecture, ![X1:$i, X3:$i, X2:$i, X4:$i, X6:$i, X5:$i]:(((cQ_5 @ X4 @ X5 @ X6)|~((cQ_4 @ X1 @ X2 @ X3))|~((cP_4 @ (f @ X1) @ X4))|~((cP_4 @ (f @ X3) @ X6))|~((cP_4 @ (f @ X2) @ X5)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_28, negated_conjecture, ![X1:$i, X2:$i]:(((cP_4 @ (f @ X1) @ X2)|~((cP_4 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_29, negated_conjecture, ![X3:$i, X2:$i, X5:$i, X6:$i, X4:$i, X1:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_2 @ c @ X4))|~((cP_2 @ b @ X5))|~((cP_2 @ a @ X6))|~((cP_3 @ X5 @ X2))|~((cP_3 @ X4 @ X3))|~((cP_3 @ X6 @ X1)))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.20/0.54 thf(c_0_30, negated_conjecture, (cP_2 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_31, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X6:$i, X5:$i, X3:$i]:(((cQ_5 @ X1 @ X2 @ X3)|~((cP_4 @ (f @ X4) @ X2))|~((cP_4 @ (f @ X5) @ X1))|~((cQ_4 @ X5 @ X4 @ X6))|~((cP_4 @ X6 @ X3)))), inference(spm,[status(thm)],[c_0_27, c_0_28])). 0.20/0.54 thf(c_0_32, negated_conjecture, ![X2:$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_29, c_0_30])). 0.20/0.54 thf(c_0_33, negated_conjecture, (cP_2 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_34, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i, X3:$i, X2:$i]:(((cQ_5 @ X1 @ X2 @ X3)|~((cP_4 @ (f @ X4) @ X1))|~((cQ_4 @ X4 @ X5 @ X6))|~((cP_4 @ X6 @ X3))|~((cP_4 @ X5 @ X2)))), inference(spm,[status(thm)],[c_0_31, c_0_28])). 0.20/0.54 thf(c_0_35, 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_32, c_0_33])). 0.20/0.54 thf(c_0_36, negated_conjecture, (cP_2 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_37, negated_conjecture, ![X2:$i, X6:$i, X5:$i, X4:$i, X3:$i, X1:$i]:(((cQ_5 @ X1 @ X2 @ X3)|~((cQ_4 @ X4 @ X5 @ X6))|~((cP_4 @ X6 @ X3))|~((cP_4 @ X5 @ X2))|~((cP_4 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_34, c_0_28])). 0.20/0.54 thf(c_0_38, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(((cQ_4 @ X1 @ X2 @ X3)|~((cP_3 @ c @ X3))|~((cP_3 @ b @ X2))|~((cP_3 @ a @ X1)))), inference(spm,[status(thm)],[c_0_35, c_0_36])). 0.20/0.54 thf(c_0_39, negated_conjecture, ![X3:$i, X2:$i, X1:$i, X6:$i, X5:$i, X4:$i]:(((cQ_6 @ X4 @ X5 @ X6)|~((cQ_5 @ X1 @ X2 @ X3))|~((cP_5 @ (f @ X3) @ X6))|~((cP_5 @ (f @ X2) @ X5))|~((cP_5 @ (f @ X1) @ X4)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_40, negated_conjecture, ![X1:$i, X2:$i]:(((cP_5 @ (f @ X1) @ X2)|~((cP_5 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_41, negated_conjecture, ![X3:$i, X2:$i, X5:$i, X6:$i, X4:$i, X1:$i]:(((cQ_5 @ X1 @ X2 @ X3)|~((cP_3 @ c @ X4))|~((cP_3 @ b @ X5))|~((cP_3 @ a @ X6))|~((cP_4 @ X4 @ X3))|~((cP_4 @ X5 @ X2))|~((cP_4 @ X6 @ X1)))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 0.20/0.54 thf(c_0_42, negated_conjecture, (cP_3 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_43, negated_conjecture, ![X1:$i, X2:$i, X4:$i, X6:$i, X5:$i, X3:$i]:(((cQ_6 @ X1 @ X2 @ X3)|~((cP_5 @ (f @ X4) @ X2))|~((cP_5 @ (f @ X5) @ X1))|~((cQ_5 @ X5 @ X4 @ X6))|~((cP_5 @ X6 @ X3)))), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.20/0.54 thf(c_0_44, negated_conjecture, ![X2:$i, X4:$i, X5:$i, X3:$i, X1:$i]:(((cQ_5 @ X1 @ X2 @ X3)|~((cP_3 @ b @ X4))|~((cP_3 @ a @ X5))|~((cP_4 @ c @ X3))|~((cP_4 @ X4 @ X2))|~((cP_4 @ X5 @ X1)))), inference(spm,[status(thm)],[c_0_41, c_0_42])). 0.20/0.54 thf(c_0_45, negated_conjecture, (cP_3 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_46, negated_conjecture, ![X1:$i, X4:$i, X6:$i, X5:$i, X3:$i, X2:$i]:(((cQ_6 @ X1 @ X2 @ X3)|~((cP_5 @ (f @ X4) @ X1))|~((cQ_5 @ X4 @ X5 @ X6))|~((cP_5 @ X6 @ X3))|~((cP_5 @ X5 @ X2)))), inference(spm,[status(thm)],[c_0_43, c_0_40])). 0.20/0.54 thf(c_0_47, negated_conjecture, ![X2:$i, X4:$i, X3:$i, X1:$i]:(((cQ_5 @ X1 @ X2 @ X3)|~((cP_3 @ a @ X4))|~((cP_4 @ c @ X3))|~((cP_4 @ b @ X2))|~((cP_4 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 0.20/0.54 thf(c_0_48, negated_conjecture, (cP_3 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_49, negated_conjecture, ![X3:$i, X2:$i, X1:$i, X4:$i, X6:$i, X5:$i]:(((cQ_7 @ X5 @ X4 @ X6)|~((cQ_6 @ X1 @ X2 @ X3))|~((cP_6 @ (f @ X2) @ X4))|~((cP_6 @ (f @ X3) @ X6))|~((cP_6 @ (f @ X1) @ X5)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_50, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:(~((cQ_7 @ X1 @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_51, negated_conjecture, ![X2:$i, X6:$i, X5:$i, X4:$i, X3:$i, X1:$i]:(((cQ_6 @ X1 @ X2 @ X3)|~((cQ_5 @ X4 @ X5 @ X6))|~((cP_5 @ X6 @ X3))|~((cP_5 @ X5 @ X2))|~((cP_5 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_46, c_0_40])). 0.20/0.54 thf(c_0_52, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(((cQ_5 @ X1 @ X2 @ X3)|~((cP_4 @ c @ X3))|~((cP_4 @ b @ X2))|~((cP_4 @ a @ X1)))), inference(spm,[status(thm)],[c_0_47, c_0_48])). 0.20/0.54 thf(c_0_53, negated_conjecture, ![X6:$i, X5:$i, X4:$i, X3:$i, X2:$i, X1:$i]:((~((cP_6 @ (f @ X1) @ X2))|~((cP_6 @ (f @ X3) @ X4))|~((cP_6 @ (f @ X5) @ X6))|~((cQ_6 @ X5 @ X3 @ X1)))), inference(sr,[status(thm)],[c_0_49, c_0_50])). 0.20/0.54 thf(c_0_54, negated_conjecture, ![X1:$i, X2:$i]:(((cP_6 @ (f @ X1) @ X2)|~((cP_6 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_55, negated_conjecture, ![X3:$i, X2:$i, X5:$i, X6:$i, X4:$i, X1:$i]:(((cQ_6 @ X1 @ X2 @ X3)|~((cP_4 @ c @ X4))|~((cP_4 @ b @ X5))|~((cP_4 @ a @ X6))|~((cP_5 @ X4 @ X3))|~((cP_5 @ X5 @ X2))|~((cP_5 @ X6 @ X1)))), inference(spm,[status(thm)],[c_0_51, c_0_52])). 0.20/0.54 thf(c_0_56, negated_conjecture, (cP_4 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_57, negated_conjecture, ![X1:$i, X3:$i, X2:$i, X4:$i, X5:$i, X6:$i]:((~((cP_6 @ (f @ X1) @ X2))|~((cP_6 @ (f @ X3) @ X4))|~((cQ_6 @ X3 @ X1 @ X5))|~((cP_6 @ X5 @ X6)))), inference(spm,[status(thm)],[c_0_53, c_0_54])). 0.20/0.54 thf(c_0_58, negated_conjecture, ![X2:$i, X4:$i, X5:$i, X3:$i, X1:$i]:(((cQ_6 @ X1 @ X2 @ X3)|~((cP_4 @ b @ X4))|~((cP_4 @ a @ X5))|~((cP_5 @ c @ X3))|~((cP_5 @ X4 @ X2))|~((cP_5 @ X5 @ X1)))), inference(spm,[status(thm)],[c_0_55, c_0_56])). 0.20/0.54 thf(c_0_59, negated_conjecture, (cP_4 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_60, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_6 @ (f @ X1) @ X2))|~((cQ_6 @ X1 @ X3 @ X4))|~((cP_6 @ X4 @ X5))|~((cP_6 @ X3 @ X6)))), inference(spm,[status(thm)],[c_0_57, c_0_54])). 0.20/0.54 thf(c_0_61, negated_conjecture, ![X2:$i, X4:$i, X3:$i, X1:$i]:(((cQ_6 @ X1 @ X2 @ X3)|~((cP_4 @ a @ X4))|~((cP_5 @ c @ X3))|~((cP_5 @ b @ X2))|~((cP_5 @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_58, c_0_59])). 0.20/0.54 thf(c_0_62, negated_conjecture, (cP_4 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_63, negated_conjecture, ![X3:$i, X2:$i, X1:$i, X4:$i, X5:$i, X6:$i]:((~((cQ_6 @ X1 @ X2 @ X3))|~((cP_6 @ X3 @ X4))|~((cP_6 @ X2 @ X5))|~((cP_6 @ X1 @ X6)))), inference(spm,[status(thm)],[c_0_60, c_0_54])). 0.20/0.54 thf(c_0_64, negated_conjecture, ![X3:$i, X2:$i, X1:$i]:(((cQ_6 @ X1 @ X2 @ X3)|~((cP_5 @ c @ X3))|~((cP_5 @ b @ X2))|~((cP_5 @ a @ X1)))), inference(spm,[status(thm)],[c_0_61, c_0_62])). 0.20/0.54 thf(c_0_65, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i]:((~((cP_5 @ c @ X1))|~((cP_5 @ b @ X2))|~((cP_5 @ a @ X3))|~((cP_6 @ X1 @ X4))|~((cP_6 @ X2 @ X5))|~((cP_6 @ X3 @ X6)))), inference(spm,[status(thm)],[c_0_63, c_0_64])). 0.20/0.54 thf(c_0_66, negated_conjecture, (cP_5 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_67, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i]:((~((cP_5 @ b @ X1))|~((cP_5 @ a @ X2))|~((cP_6 @ c @ X3))|~((cP_6 @ X1 @ X4))|~((cP_6 @ X2 @ X5)))), inference(spm,[status(thm)],[c_0_65, c_0_66])). 0.20/0.54 thf(c_0_68, negated_conjecture, (cP_5 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_69, negated_conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i]:((~((cP_5 @ a @ X1))|~((cP_6 @ c @ X2))|~((cP_6 @ b @ X3))|~((cP_6 @ X1 @ X4)))), inference(spm,[status(thm)],[c_0_67, c_0_68])). 0.20/0.54 thf(c_0_70, negated_conjecture, (cP_5 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_71, negated_conjecture, ![X1:$i, X2:$i, X3:$i]:((~((cP_6 @ c @ X1))|~((cP_6 @ b @ X2))|~((cP_6 @ a @ X3)))), inference(spm,[status(thm)],[c_0_69, c_0_70])). 0.20/0.54 thf(c_0_72, negated_conjecture, (cP_6 @ c @ c), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_73, negated_conjecture, ![X1:$i, X2:$i]:((~((cP_6 @ b @ X1))|~((cP_6 @ a @ X2)))), inference(spm,[status(thm)],[c_0_71, c_0_72])). 0.20/0.54 thf(c_0_74, negated_conjecture, (cP_6 @ b @ b), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_75, negated_conjecture, (cP_6 @ a @ a), inference(split_conjunct,[status(thm)],[c_0_2])). 0.20/0.54 thf(c_0_76, negated_conjecture, ![X1:$i]:(~((cP_6 @ a @ X1))), inference(spm,[status(thm)],[c_0_73, c_0_74])). 0.20/0.54 thf(c_0_77, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_75, c_0_76]), ['proof']). 0.20/0.54 # SZS output end CNFRefutation 0.20/0.54 # Parsed axioms : 19 0.20/0.54 # Removed by relevancy pruning/SinE : 0 0.20/0.54 # Initial clauses : 56 0.20/0.54 # Removed in clause preprocessing : 18 0.20/0.54 # Initial clauses in saturation : 38 0.20/0.54 # Processed clauses : 117 0.20/0.54 # ...of these trivial : 0 0.20/0.54 # ...subsumed : 0 0.20/0.54 # ...remaining for further processing : 117 0.20/0.54 # Other redundant clauses eliminated : 0 0.20/0.54 # Clauses deleted for lack of memory : 0 0.20/0.54 # Backward-subsumed : 2 0.20/0.54 # Backward-rewritten : 0 0.20/0.54 # Generated clauses : 42 0.20/0.54 # ...of the previous two non-redundant : 41 0.20/0.54 # ...aggressively subsumed : 0 0.20/0.54 # Contextual simplify-reflections : 0 0.20/0.54 # Paramodulations : 41 0.20/0.54 # Factorizations : 0 0.20/0.54 # NegExts : 0 0.20/0.54 # Equation resolutions : 0 0.20/0.54 # Disequality decompositions : 0 0.20/0.54 # Total rewrite steps : 0 0.20/0.54 # ...of those cached : 0 0.20/0.54 # Propositional unsat checks : 0 0.20/0.54 # Propositional check models : 0 0.20/0.54 # Propositional check unsatisfiable : 0 0.20/0.54 # Propositional clauses : 0 0.20/0.54 # Propositional clauses after purity: 0 0.20/0.54 # Propositional unsat core size : 0 0.20/0.54 # Propositional preprocessing time : 0.000 0.20/0.54 # Propositional encoding time : 0.000 0.20/0.54 # Propositional solver time : 0.000 0.20/0.54 # Success case prop preproc time : 0.000 0.20/0.54 # Success case prop encoding time : 0.000 0.20/0.54 # Success case prop solver time : 0.000 0.20/0.54 # Current number of processed clauses : 76 0.20/0.54 # Positive orientable unit clauses : 24 0.20/0.54 # Positive unorientable unit clauses: 0 0.20/0.54 # Negative unit clauses : 2 0.20/0.54 # Non-unit-clauses : 50 0.20/0.54 # Current number of unprocessed clauses: 0 0.20/0.54 # ...number of literals in the above : 0 0.20/0.54 # Current number of archived formulas : 0 0.20/0.54 # Current number of archived clauses : 41 0.20/0.54 # Clause-clause subsumption calls (NU) : 413 0.20/0.54 # Rec. Clause-clause subsumption calls : 92 0.20/0.54 # Non-unit clause-clause subsumptions : 1 0.20/0.54 # Unit Clause-clause subsumption calls : 9 0.20/0.54 # Rewrite failures with RHS unbound : 0 0.20/0.54 # BW rewrite match attempts : 0 0.20/0.54 # BW rewrite match successes : 0 0.20/0.54 # Condensation attempts : 117 0.20/0.54 # Condensation successes : 0 0.20/0.54 # Termbank termtop insertions : 6977 0.20/0.54 # Search garbage collected termcells : 564 0.20/0.54 0.20/0.54 # ------------------------------------------------- 0.20/0.54 # User time : 0.013 s 0.20/0.54 # System time : 0.001 s 0.20/0.54 # Total time : 0.014 s 0.20/0.54 # Maximum resident set size: 1904 pages 0.20/0.54 0.20/0.54 # ------------------------------------------------- 0.20/0.54 # User time : 0.016 s 0.20/0.54 # System time : 0.003 s 0.20/0.54 # Total time : 0.019 s 0.20/0.54 # Maximum resident set size: 1756 pages 0.20/0.54 % E exiting 0.20/0.54 % E exiting 0.20/0.54 EOF