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 0.11/0.35 % Computer : n020.cluster.edu 0.11/0.35 % Model : x86_64 x86_64 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.35 % Memory : 8046.5625MB 0.11/0.35 % OS : Linux 6.8.0-71-generic 0.11/0.35 % CPULimit : 1440 0.11/0.35 % WCLimit : 180 0.11/0.35 % DateTime : Mon Jul 27 11:23:21 UTC 2026 0.11/0.35 % CPUTime : 0.11/0.35 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.13/0.40 Running higher-order theorem proving 0.13/0.42 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.jETIpRHvky/E---3.1_2586423.p 7.04/1.51 % Version: 3.5.1-ho 7.04/1.51 % Preprocessing class: HSLSSMSSSSSNHHA. 7.04/1.51 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 7.04/1.51 % Starting new_ho_10 with 360s (2) cores 7.04/1.51 % Starting sh3 with 360s (2) cores 7.04/1.51 % Starting ho_unfolding_3 with 360s (2) cores 7.04/1.51 % Starting new_ho_10_cnf2 with 360s (2) cores 7.04/1.51 % new_ho_10 with pid 2586436 completed with status 0 7.04/1.51 % Result found by new_ho_10 7.04/1.51 % Preprocessing class: HSLSSMSSSSSNHHA. 7.04/1.51 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 7.04/1.51 % Starting new_ho_10 with 360s (2) cores 7.04/1.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 7.04/1.51 % No SInE strategy applied 7.04/1.51 % Search class: HGHNF-FSLF00-SHHFFSBN 7.04/1.51 % Scheduled 6 strats onto 2 cores with 360 seconds (360 total) 7.04/1.51 % Starting SubtermCWHack with 37s (1) cores 7.04/1.51 % Starting new_ho_10 with 73s (1) cores 7.04/1.51 % SubtermCWHack with pid 2586443 completed with status 10 7.04/1.51 % Starting sh3 with 73s (1) cores 7.04/1.51 % new_ho_10 with pid 2586445 completed with status 10 7.04/1.51 % Starting ho_unfolding_3 with 73s (1) cores 7.04/1.51 % sh3 with pid 2586449 completed with status 10 7.04/1.51 % Starting new_ho_10_cnf2 with 73s (1) cores 7.04/1.51 % new_ho_10_cnf2 with pid 2586456 completed with status 10 7.04/1.51 % Starting pre_casc_2 with 31s (1) cores 7.04/1.51 % pre_casc_2 with pid 2586457 completed with status 10 7.04/1.51 % ho_unfolding_3 with pid 2586453 completed with status 10 7.04/1.51 % Schedule exhausted 7.04/1.51 7.04/1.51 % ------------------------------------------------- 7.04/1.51 % User time : 1.577 s 7.04/1.51 % System time : 0.067 s 7.04/1.51 % Total time : 1.644 s 7.04/1.51 % Maximum resident set size: 5608 pages 7.04/1.51 % executing default schedule for 358.356 seconds. 7.04/1.51 % Scheduled 7 strats onto 2 cores with 358 seconds (357 total) 7.04/1.51 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 52s (1) cores 7.04/1.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 52s (1) cores 7.04/1.51 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2586465 completed with status 10 7.04/1.51 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 52s (1) cores 7.04/1.51 % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2586464 completed with status 10 7.04/1.51 % Starting lpo1_def_fix with 52s (1) cores 7.04/1.51 % G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 2586466 completed with status 10 7.04/1.51 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 52s (1) cores 7.04/1.51 % G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 2586468 completed with status 10 7.04/1.51 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 52s (1) cores 7.04/1.51 % lpo1_def_fix with pid 2586467 completed with status 0 7.04/1.51 % Result found by lpo1_def_fix 7.04/1.51 % Preprocessing class: HSLSSMSSSSSNHHA. 7.04/1.51 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 7.04/1.51 % Starting new_ho_10 with 360s (2) cores 7.04/1.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 7.04/1.51 % No SInE strategy applied 7.04/1.51 % Search class: HGHNF-FSLF00-SHHFFSBN 7.04/1.51 % Scheduled 6 strats onto 2 cores with 360 seconds (360 total) 7.04/1.51 % Starting SubtermCWHack with 37s (1) cores 7.04/1.51 % Starting new_ho_10 with 73s (1) cores 7.04/1.51 % SubtermCWHack with pid 2586443 completed with status 10 7.04/1.51 % Starting sh3 with 73s (1) cores 7.04/1.51 % new_ho_10 with pid 2586445 completed with status 10 7.04/1.51 % Starting ho_unfolding_3 with 73s (1) cores 7.04/1.51 % sh3 with pid 2586449 completed with status 10 7.04/1.51 % Starting new_ho_10_cnf2 with 73s (1) cores 7.04/1.51 % new_ho_10_cnf2 with pid 2586456 completed with status 10 7.04/1.51 % Starting pre_casc_2 with 31s (1) cores 7.04/1.51 % pre_casc_2 with pid 2586457 completed with status 10 7.04/1.51 % ho_unfolding_3 with pid 2586453 completed with status 10 7.04/1.51 % Schedule exhausted 7.04/1.51 7.04/1.51 % ------------------------------------------------- 7.04/1.51 % User time : 1.577 s 7.04/1.51 % System time : 0.067 s 7.04/1.51 % Total time : 1.644 s 7.04/1.51 % Maximum resident set size: 5608 pages 7.04/1.51 % executing default schedule for 358.356 seconds. 7.04/1.51 % Scheduled 7 strats onto 2 cores with 358 seconds (357 total) 7.04/1.51 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 52s (1) cores 7.04/1.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 52s (1) cores 7.04/1.51 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2586465 completed with status 10 7.04/1.51 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 52s (1) cores 7.04/1.51 % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2586464 completed with status 10 7.04/1.51 % Starting lpo1_def_fix with 52s (1) cores 7.04/1.51 % Preprocessing time : 0.004 s 7.04/1.51 % Presaturation interreduction done 7.04/1.51 7.04/1.51 % Proof found! 7.04/1.51 % SZS status Theorem 7.04/1.51 % SZS output start CNFRefutation 7.04/1.51 thf(decl_23, type, epred1_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o). 7.04/1.51 thf(decl_24, type, epred2_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o). 7.04/1.51 thf(decl_25, type, epred3_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_26, type, epred4_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_27, type, epred5_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_28, type, epred6_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_29, type, epred7_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_30, type, epred8_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_31, type, epred9_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_32, type, epred10_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_33, type, epred11_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_34, type, epred12_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_35, type, epred13_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_36, type, epred14_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_37, type, epred15_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_38, type, epred16_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_39, type, epred17_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_40, type, epred18_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_41, type, epred19_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_42, type, epred20_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_43, type, epred21_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_44, type, epred22_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_45, type, epred23_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_46, type, epred24_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_47, type, epred25_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_48, type, epred26_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_49, type, epred27_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_50, type, epred28_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o). 7.04/1.51 thf(decl_51, type, epred29_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_52, type, epred30_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_53, type, epred31_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_54, type, epred32_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_55, type, epred33_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_56, type, epred34_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_57, type, epred35_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_58, type, epred36_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_59, type, epred37_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_60, type, epred38_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_61, type, epred39_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_62, type, epred40_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_63, type, epred41_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_64, type, epred42_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o). 7.04/1.51 thf(decl_357, type, esk335_0: $o). 7.04/1.51 thf(decl_358, type, esk336_1: $o > $o). 7.04/1.51 thf(decl_371, type, epred349_0: $o). 7.04/1.51 thf(decl_372, type, epred350_0: $o). 7.04/1.51 thf(ramsey_l_5_15_256a, conjecture, ?[X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o, X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:($o > ($o > $o) > $o) > $o, X8:($o > ($o > $o) > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o]:(((~((X1 @ X3 @ X2))|~((X1 @ X4 @ X2))|~((X1 @ X4 @ X3))|~((X1 @ X5 @ X3))|~((X1 @ X6 @ X2))|~((X1 @ X6 @ X3))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X4))|~((X1 @ X5 @ X4))|~((X1 @ X5 @ X2)))<=(((((((((((((((((((~((X7 @ X3))&~((X7 @ X6)))&~((X8 @ X2)))&(X8 @ X3))&~((X8 @ X5)))&~((X9 @ X3)))&(X9 @ X4))&~((X9 @ X5)))&~((X10 @ X4)))&~((X10 @ X6)))&(X10 @ X5))&~((X10 @ X3)))&~((X10 @ X2)))&~((X9 @ X6)))&~((X9 @ X2)))&~((X8 @ X6)))&~((X8 @ X4)))&~((X7 @ X5)))&~((X7 @ X4)))&(X7 @ X2))))&![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o, X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X11:$o > ($o > $o) > $o, X12:$o > ($o > $o) > $o, X13:$o > ($o > $o) > $o, X14:$o > ($o > $o) > $o, X15:$o > ($o > $o) > $o, X16:$o > ($o > $o) > $o, X17:$o > ($o > $o) > $o, X18:$o > ($o > $o) > $o, X19:$o > ($o > $o) > $o, X20:$o > ($o > $o) > $o, X7:($o > ($o > $o) > $o) > $o, X8:($o > ($o > $o) > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X21:($o > ($o > $o) > $o) > $o, X22:($o > ($o > $o) > $o) > $o, X23:($o > ($o > $o) > $o) > $o, X24:($o > ($o > $o) > $o) > $o, X25:($o > ($o > $o) > $o) > $o, X26:($o > ($o > $o) > $o) > $o, X27:($o > ($o > $o) > $o) > $o, X28:($o > ($o > $o) > $o) > $o, X29:($o > ($o > $o) > $o) > $o, X30:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X7 @ X2)&~((X7 @ X11)))&~((X7 @ X12)))&~((X7 @ X14)))&~((X7 @ X15)))&~((X7 @ X16)))&~((X7 @ X18)))&(X8 @ X3))&~((X8 @ X4)))&~((X8 @ X11)))&~((X8 @ X12)))&~((X8 @ X13)))&~((X8 @ X14)))&~((X8 @ X17)))&~((X8 @ X18)))&~((X8 @ X19)))&~((X8 @ X20)))&~((X9 @ X5)))&~((X9 @ X11)))&~((X9 @ X12)))&~((X9 @ X13)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X9 @ X18)))&~((X9 @ X19)))&~((X9 @ X20)))&~((X10 @ X3)))&~((X10 @ X6)))&~((X10 @ X11)))&~((X10 @ X12)))&~((X10 @ X15)))&~((X21 @ X3)))&~((X21 @ X4)))&(X21 @ X6))&~((X21 @ X12)))&~((X21 @ X13)))&~((X21 @ X14)))&~((X21 @ X15)))&~((X21 @ X16)))&~((X21 @ X18)))&~((X21 @ X19)))&~((X21 @ X20)))&~((X22 @ X3)))&~((X22 @ X4)))&~((X22 @ X13)))&~((X22 @ X14)))&~((X22 @ X15)))&~((X22 @ X16)))&~((X22 @ X18)))&~((X22 @ X19)))&~((X23 @ X4)))&~((X23 @ X11)))&~((X23 @ X13)))&~((X23 @ X15)))&~((X23 @ X16)))&~((X23 @ X17)))&~((X23 @ X20)))&~((X24 @ X2)))&~((X24 @ X3)))&~((X24 @ X5)))&~((X24 @ X6)))&~((X24 @ X11)))&(X24 @ X13))&~((X24 @ X14)))&~((X24 @ X15)))&~((X24 @ X16)))&~((X24 @ X17)))&~((X24 @ X18)))&~((X25 @ X2)))&~((X25 @ X3)))&~((X25 @ X4)))&~((X25 @ X5)))&~((X25 @ X6)))&~((X25 @ X12)))&~((X25 @ X13)))&(X25 @ X14))&~((X25 @ X17)))&~((X26 @ X4)))&~((X26 @ X5)))&~((X26 @ X12)))&~((X26 @ X14)))&(X26 @ X15))&~((X26 @ X16)))&~((X26 @ X19)))&~((X27 @ X2)))&~((X27 @ X3)))&~((X27 @ X4)))&~((X27 @ X6)))&(X27 @ X16))&~((X27 @ X19)))&~((X27 @ X20)))&~((X28 @ X4)))&~((X28 @ X5)))&~((X28 @ X6)))&~((X28 @ X11)))&~((X28 @ X13)))&~((X28 @ X15)))&(X28 @ X17))&~((X28 @ X18)))&~((X28 @ X19)))&~((X28 @ X20)))&~((X29 @ X4)))&~((X29 @ X5)))&~((X29 @ X6)))&~((X29 @ X12)))&~((X29 @ X15)))&~((X29 @ X16)))&~((X29 @ X17)))&~((X30 @ X5)))&~((X30 @ X16)))&~((X30 @ X17)))&~((X30 @ X18)))&~((X30 @ X20)))&(X30 @ X19))&~((X30 @ X15)))&~((X30 @ X14)))&~((X30 @ 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@ X12 @ X4)|(X1 @ X12 @ X3)|(X1 @ X12 @ X2)|(X1 @ X11 @ X5)|(X1 @ X11 @ X3)|(X1 @ X11 @ X2)|(X1 @ X6 @ X3)|(X1 @ X6 @ X2)|(X1 @ X5 @ X3)|(X1 @ X4 @ X2)))))&![X31:$o > ($o > $o) > $o, X32:$o > ($o > $o) > $o]:(((X1 @ X31 @ X32)=>(X1 @ X32 @ X31))))), file('/export/starexec/sandbox/tmp/tmp.jETIpRHvky/E---3.1_2586423.p', ramsey_l_5_15_256a)). 7.04/1.51 thf(c_0_1, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)<=>![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o, X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X11:$o > ($o > $o) > $o, X12:$o > ($o > $o) > $o, X13:$o > ($o > $o) > $o, X14:$o > ($o > $o) > $o, X15:$o > ($o > $o) > $o, X16:$o > ($o > $o) > $o, X17:$o > ($o > $o) > $o, X18:$o > ($o > $o) > $o, X19:$o > ($o > $o) > $o, X20:$o > ($o > $o) > $o, X7:($o > ($o > $o) > $o) > $o, X8:($o > ($o > $o) > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X21:($o > ($o > $o) > $o) > $o, X22:($o > ($o > $o) > $o) > $o, X23:($o > ($o > $o) > $o) > $o, X24:($o > ($o > $o) > $o) > $o, X25:($o > ($o > $o) > $o) > $o, X26:($o > ($o > $o) > $o) > $o, X27:($o > ($o > $o) > $o) > $o, X28:($o > ($o > $o) > $o) > $o, X29:($o > ($o > $o) > $o) > $o, X30:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X7 @ X2)&~((X7 @ X11)))&~((X7 @ X12)))&~((X7 @ X14)))&~((X7 @ X15)))&~((X7 @ X16)))&~((X7 @ X18)))&(X8 @ X3))&~((X8 @ X4)))&~((X8 @ X11)))&~((X8 @ X12)))&~((X8 @ X13)))&~((X8 @ X14)))&~((X8 @ X17)))&~((X8 @ X18)))&~((X8 @ X19)))&~((X8 @ X20)))&~((X9 @ X5)))&~((X9 @ X11)))&~((X9 @ X12)))&~((X9 @ X13)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X9 @ X18)))&~((X9 @ X19)))&~((X9 @ X20)))&~((X10 @ X3)))&~((X10 @ X6)))&~((X10 @ X11)))&~((X10 @ X12)))&~((X10 @ X15)))&~((X21 @ X3)))&~((X21 @ X4)))&(X21 @ X6))&~((X21 @ X12)))&~((X21 @ 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@ X4)|(X1 @ X16 @ X2)|(X1 @ X15 @ X12)|(X1 @ X15 @ X5)|(X1 @ X15 @ X4)|(X1 @ X15 @ X3)|(X1 @ X14 @ X12)|(X1 @ X14 @ X4)|(X1 @ X14 @ X3)|(X1 @ X13 @ X12)|(X1 @ X13 @ X11)|(X1 @ X13 @ X5)|(X1 @ X13 @ X3)|(X1 @ X13 @ X2)|(X1 @ X12 @ X6)|(X1 @ X12 @ X5)|(X1 @ X12 @ X4)|(X1 @ X12 @ X3)|(X1 @ X12 @ X2)|(X1 @ X11 @ X5)|(X1 @ X11 @ X3)|(X1 @ X11 @ X2)|(X1 @ X6 @ X3)|(X1 @ X6 @ X2)|(X1 @ X5 @ X3)|(X1 @ X4 @ X2)))))), introduced(definition)). 7.04/1.51 thf(c_0_2, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o, X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X11:$o > ($o > $o) > $o, X12:$o > ($o > $o) > $o, X13:$o > ($o > $o) > $o, X14:$o > ($o > $o) > $o, X15:$o > ($o > $o) > $o, X16:$o > ($o > $o) > $o, X17:$o > ($o > $o) > $o, X18:$o > ($o > $o) > $o, X19:$o > ($o > $o) > $o, X20:$o > ($o > $o) > $o, X7:($o > ($o > $o) > $o) > $o, X8:($o > ($o > $o) > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X21:($o > ($o > $o) > $o) > $o, X22:($o > ($o > $o) > $o) > $o, X23:($o > ($o > $o) > $o) > $o, X24:($o > ($o > $o) > $o) > $o, X25:($o > ($o > $o) > $o) > $o, X26:($o > ($o > $o) > $o) > $o, X27:($o > ($o > $o) > $o) > $o, X28:($o > ($o > $o) > $o) > $o, X29:($o > ($o > $o) > $o) > $o, X30:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X7 @ X2)&~((X7 @ X11)))&~((X7 @ X12)))&~((X7 @ X14)))&~((X7 @ X15)))&~((X7 @ X16)))&~((X7 @ X18)))&(X8 @ X3))&~((X8 @ X4)))&~((X8 @ X11)))&~((X8 @ X12)))&~((X8 @ X13)))&~((X8 @ X14)))&~((X8 @ X17)))&~((X8 @ X18)))&~((X8 @ X19)))&~((X8 @ X20)))&~((X9 @ X5)))&~((X9 @ X11)))&~((X9 @ X12)))&~((X9 @ X13)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X9 @ X18)))&~((X9 @ X19)))&~((X9 @ X20)))&~((X10 @ X3)))&~((X10 @ X6)))&~((X10 @ X11)))&~((X10 @ X12)))&~((X10 @ X15)))&~((X21 @ X3)))&~((X21 @ X4)))&(X21 @ X6))&~((X21 @ X12)))&~((X21 @ X13)))&~((X21 @ X14)))&~((X21 @ X15)))&~((X21 @ X16)))&~((X21 @ X18)))&~((X21 @ X19)))&~((X21 @ X20)))&~((X22 @ X3)))&~((X22 @ X4)))&~((X22 @ X13)))&~((X22 @ X14)))&~((X22 @ X15)))&~((X22 @ X16)))&~((X22 @ X18)))&~((X22 @ X19)))&~((X23 @ X4)))&~((X23 @ X11)))&~((X23 @ X13)))&~((X23 @ X15)))&~((X23 @ X16)))&~((X23 @ X17)))&~((X23 @ X20)))&~((X24 @ X2)))&~((X24 @ X3)))&~((X24 @ X5)))&~((X24 @ X6)))&~((X24 @ X11)))&(X24 @ X13))&~((X24 @ X14)))&~((X24 @ X15)))&~((X24 @ X16)))&~((X24 @ X17)))&~((X24 @ X18)))&~((X25 @ X2)))&~((X25 @ X3)))&~((X25 @ X4)))&~((X25 @ X5)))&~((X25 @ X6)))&~((X25 @ X12)))&~((X25 @ X13)))&(X25 @ X14))&~((X25 @ X17)))&~((X26 @ X4)))&~((X26 @ X5)))&~((X26 @ X12)))&~((X26 @ X14)))&(X26 @ X15))&~((X26 @ X16)))&~((X26 @ X19)))&~((X27 @ X2)))&~((X27 @ X3)))&~((X27 @ X4)))&~((X27 @ X6)))&(X27 @ X16))&~((X27 @ X19)))&~((X27 @ X20)))&~((X28 @ X4)))&~((X28 @ X5)))&~((X28 @ X6)))&~((X28 @ X11)))&~((X28 @ X13)))&~((X28 @ X15)))&(X28 @ X17))&~((X28 @ X18)))&~((X28 @ X19)))&~((X28 @ X20)))&~((X29 @ X4)))&~((X29 @ X5)))&~((X29 @ X6)))&~((X29 @ X12)))&~((X29 @ X15)))&~((X29 @ X16)))&~((X29 @ X17)))&~((X30 @ X5)))&~((X30 @ X16)))&~((X30 @ X17)))&~((X30 @ X18)))&~((X30 @ X20)))&(X30 @ X19))&~((X30 @ X15)))&~((X30 @ X14)))&~((X30 @ X13)))&~((X30 @ X12)))&~((X30 @ X11)))&~((X30 @ X6)))&~((X30 @ X4)))&~((X30 @ X3)))&~((X30 @ X2)))&~((X29 @ X20)))&~((X29 @ X19)))&(X29 @ X18))&~((X29 @ X14)))&~((X29 @ X13)))&~((X29 @ X11)))&~((X29 @ X3)))&~((X29 @ X2)))&~((X28 @ X16)))&~((X28 @ X14)))&~((X28 @ X12)))&~((X28 @ X3)))&~((X28 @ X2)))&~((X27 @ X18)))&~((X27 @ X17)))&~((X27 @ X15)))&~((X27 @ X14)))&~((X27 @ X13)))&~((X27 @ X12)))&~((X27 @ X11)))&~((X27 @ X5)))&~((X26 @ X20)))&~((X26 @ X18)))&~((X26 @ X17)))&~((X26 @ X13)))&~((X26 @ X11)))&~((X26 @ X6)))&~((X26 @ X3)))&~((X26 @ X2)))&~((X25 @ X20)))&~((X25 @ X19)))&~((X25 @ X18)))&~((X25 @ X16)))&~((X25 @ X15)))&~((X25 @ X11)))&~((X24 @ X20)))&~((X24 @ X19)))&~((X24 @ X12)))&~((X24 @ X4)))&~((X23 @ X19)))&~((X23 @ X18)))&~((X23 @ X14)))&(X23 @ X12))&~((X23 @ X6)))&~((X23 @ X5)))&~((X23 @ X3)))&~((X23 @ X2)))&~((X22 @ X20)))&~((X22 @ X17)))&~((X22 @ X12)))&(X22 @ X11))&~((X22 @ X6)))&~((X22 @ X5)))&~((X22 @ X2)))&~((X21 @ X17)))&~((X21 @ X11)))&~((X21 @ X5)))&~((X21 @ X2)))&~((X10 @ X20)))&~((X10 @ X19)))&~((X10 @ X18)))&~((X10 @ X17)))&~((X10 @ X16)))&~((X10 @ X14)))&~((X10 @ X13)))&(X10 @ X5))&~((X10 @ X4)))&~((X10 @ X2)))&~((X9 @ X17)))&~((X9 @ X14)))&~((X9 @ X6)))&(X9 @ X4))&~((X9 @ X3)))&~((X9 @ X2)))&~((X8 @ X16)))&~((X8 @ X15)))&~((X8 @ X6)))&~((X8 @ X5)))&~((X8 @ X2)))&~((X7 @ X20)))&~((X7 @ X19)))&~((X7 @ X17)))&~((X7 @ X13)))&~((X7 @ X6)))&~((X7 @ X5)))&~((X7 @ X4)))&~((X7 @ X3)))=>((X1 @ X3 @ X2)|(X1 @ X4 @ X3)|(X1 @ X5 @ X2)|(X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X11 @ X4)|(X1 @ X11 @ X6)|(X1 @ X12 @ X11)|(X1 @ X13 @ X4)|(X1 @ X13 @ X6)|(X1 @ X14 @ X2)|(X1 @ X14 @ X5)|(X1 @ X14 @ X6)|(X1 @ X14 @ X11)|(X1 @ X14 @ X13)|(X1 @ X15 @ X2)|(X1 @ X15 @ X6)|(X1 @ X15 @ X11)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X16 @ X3)|(X1 @ X16 @ X11)|(X1 @ X16 @ X12)|(X1 @ X16 @ X13)|(X1 @ X17 @ X2)|(X1 @ X17 @ X3)|(X1 @ X17 @ X4)|(X1 @ X17 @ X5)|(X1 @ X17 @ X6)|(X1 @ X17 @ X13)|(X1 @ X17 @ X15)|(X1 @ X17 @ X16)|(X1 @ X18 @ X6)|(X1 @ X18 @ X12)|(X1 @ X18 @ X13)|(X1 @ X18 @ X14)|(X1 @ X18 @ X15)|(X1 @ X18 @ X16)|(X1 @ X19 @ X11)|(X1 @ X19 @ X14)|(X1 @ X19 @ X18)|(X1 @ X20 @ X3)|(X1 @ X20 @ X4)|(X1 @ X20 @ X5)|(X1 @ X20 @ X12)|(X1 @ X20 @ X15)|(X1 @ X20 @ X16)|(X1 @ X20 @ X18)|(X1 @ X20 @ X19)|(X1 @ X20 @ X17)|(X1 @ X20 @ X14)|(X1 @ X20 @ X13)|(X1 @ X20 @ X11)|(X1 @ X20 @ X6)|(X1 @ X20 @ X2)|(X1 @ X19 @ X17)|(X1 @ X19 @ X16)|(X1 @ X19 @ X15)|(X1 @ X19 @ X13)|(X1 @ X19 @ X12)|(X1 @ X19 @ X6)|(X1 @ X19 @ X5)|(X1 @ X19 @ X4)|(X1 @ X19 @ X3)|(X1 @ X19 @ X2)|(X1 @ X18 @ X17)|(X1 @ X18 @ X11)|(X1 @ X18 @ X5)|(X1 @ X18 @ X4)|(X1 @ X18 @ X3)|(X1 @ X18 @ X2)|(X1 @ X17 @ X14)|(X1 @ X17 @ X12)|(X1 @ X17 @ X11)|(X1 @ X16 @ X15)|(X1 @ X16 @ X14)|(X1 @ X16 @ X6)|(X1 @ X16 @ X5)|(X1 @ X16 @ X4)|(X1 @ X16 @ X2)|(X1 @ X15 @ X12)|(X1 @ X15 @ X5)|(X1 @ X15 @ X4)|(X1 @ X15 @ X3)|(X1 @ X14 @ X12)|(X1 @ X14 @ X4)|(X1 @ X14 @ X3)|(X1 @ X13 @ X12)|(X1 @ X13 @ X11)|(X1 @ X13 @ X5)|(X1 @ X13 @ X3)|(X1 @ X13 @ X2)|(X1 @ X12 @ X6)|(X1 @ X12 @ X5)|(X1 @ X12 @ X4)|(X1 @ X12 @ X3)|(X1 @ X12 @ X2)|(X1 @ X11 @ X5)|(X1 @ X11 @ X3)|(X1 @ X11 @ X2)|(X1 @ X6 @ X3)|(X1 @ X6 @ X2)|(X1 @ X5 @ X3)|(X1 @ X4 @ X2))))=>(epred2_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_1])). 7.04/1.51 thf(c_0_3, negated_conjecture, ~(?[X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o, X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:($o > ($o > $o) > $o) > $o, X8:($o > ($o > $o) > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o]:(((~((X1 @ X3 @ X2))|~((X1 @ X4 @ X2))|~((X1 @ X4 @ X3))|~((X1 @ X5 @ X3))|~((X1 @ X6 @ X2))|~((X1 @ X6 @ X3))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X4))|~((X1 @ X5 @ X4))|~((X1 @ X5 @ X2)))<=(((((((((((((((((((~((X7 @ X3))&~((X7 @ X6)))&~((X8 @ X2)))&(X8 @ X3))&~((X8 @ X5)))&~((X9 @ X3)))&(X9 @ X4))&~((X9 @ X5)))&~((X10 @ X4)))&~((X10 @ X6)))&(X10 @ X5))&~((X10 @ X3)))&~((X10 @ X2)))&~((X9 @ X6)))&~((X9 @ X2)))&~((X8 @ X6)))&~((X8 @ X4)))&~((X7 @ X5)))&~((X7 @ X4)))&(X7 @ X2))))&![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o, X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X11:$o > ($o > $o) > $o, X12:$o > ($o > $o) > $o, X13:$o > ($o > $o) > $o, X14:$o > ($o > $o) > $o, X15:$o > ($o > $o) > $o, X16:$o > ($o > $o) > $o, X17:$o > ($o > $o) > $o, X18:$o > ($o > $o) > $o, X19:$o > ($o > $o) > $o, X20:$o > ($o > $o) > $o, X7:($o > ($o > $o) > $o) > $o, X8:($o > ($o > $o) > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X21:($o > ($o > $o) > $o) > $o, X22:($o > ($o > $o) > $o) > $o, X23:($o > ($o > $o) > $o) > $o, X24:($o > ($o > $o) > $o) > $o, X25:($o > ($o > $o) > $o) > $o, X26:($o > ($o > $o) > $o) > $o, X27:($o > ($o > $o) > $o) > $o, X28:($o > ($o > $o) > $o) > $o, X29:($o > ($o > $o) > $o) > $o, X30:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X7 @ X2)&~((X7 @ X11)))&~((X7 @ X12)))&~((X7 @ X14)))&~((X7 @ X15)))&~((X7 @ X16)))&~((X7 @ X18)))&(X8 @ X3))&~((X8 @ X4)))&~((X8 @ X11)))&~((X8 @ X12)))&~((X8 @ X13)))&~((X8 @ X14)))&~((X8 @ X17)))&~((X8 @ X18)))&~((X8 @ X19)))&~((X8 @ X20)))&~((X9 @ X5)))&~((X9 @ X11)))&~((X9 @ X12)))&~((X9 @ X13)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X9 @ X18)))&~((X9 @ X19)))&~((X9 @ X20)))&~((X10 @ X3)))&~((X10 @ X6)))&~((X10 @ X11)))&~((X10 @ X12)))&~((X10 @ X15)))&~((X21 @ X3)))&~((X21 @ X4)))&(X21 @ X6))&~((X21 @ X12)))&~((X21 @ X13)))&~((X21 @ X14)))&~((X21 @ X15)))&~((X21 @ X16)))&~((X21 @ X18)))&~((X21 @ X19)))&~((X21 @ X20)))&~((X22 @ X3)))&~((X22 @ X4)))&~((X22 @ X13)))&~((X22 @ X14)))&~((X22 @ X15)))&~((X22 @ X16)))&~((X22 @ X18)))&~((X22 @ X19)))&~((X23 @ X4)))&~((X23 @ X11)))&~((X23 @ X13)))&~((X23 @ X15)))&~((X23 @ X16)))&~((X23 @ X17)))&~((X23 @ X20)))&~((X24 @ X2)))&~((X24 @ X3)))&~((X24 @ X5)))&~((X24 @ X6)))&~((X24 @ X11)))&(X24 @ X13))&~((X24 @ X14)))&~((X24 @ X15)))&~((X24 @ X16)))&~((X24 @ X17)))&~((X24 @ X18)))&~((X25 @ X2)))&~((X25 @ X3)))&~((X25 @ X4)))&~((X25 @ X5)))&~((X25 @ X6)))&~((X25 @ X12)))&~((X25 @ X13)))&(X25 @ X14))&~((X25 @ X17)))&~((X26 @ X4)))&~((X26 @ X5)))&~((X26 @ X12)))&~((X26 @ X14)))&(X26 @ X15))&~((X26 @ X16)))&~((X26 @ X19)))&~((X27 @ X2)))&~((X27 @ X3)))&~((X27 @ X4)))&~((X27 @ X6)))&(X27 @ X16))&~((X27 @ X19)))&~((X27 @ X20)))&~((X28 @ X4)))&~((X28 @ X5)))&~((X28 @ X6)))&~((X28 @ X11)))&~((X28 @ X13)))&~((X28 @ X15)))&(X28 @ X17))&~((X28 @ X18)))&~((X28 @ X19)))&~((X28 @ X20)))&~((X29 @ X4)))&~((X29 @ X5)))&~((X29 @ X6)))&~((X29 @ X12)))&~((X29 @ X15)))&~((X29 @ X16)))&~((X29 @ X17)))&~((X30 @ X5)))&~((X30 @ X16)))&~((X30 @ X17)))&~((X30 @ X18)))&~((X30 @ X20)))&(X30 @ X19))&~((X30 @ X15)))&~((X30 @ X14)))&~((X30 @ X13)))&~((X30 @ X12)))&~((X30 @ X11)))&~((X30 @ X6)))&~((X30 @ X4)))&~((X30 @ X3)))&~((X30 @ X2)))&~((X29 @ X20)))&~((X29 @ X19)))&(X29 @ X18))&~((X29 @ X14)))&~((X29 @ X13)))&~((X29 @ X11)))&~((X29 @ X3)))&~((X29 @ X2)))&~((X28 @ X16)))&~((X28 @ X14)))&~((X28 @ X12)))&~((X28 @ X3)))&~((X28 @ X2)))&~((X27 @ X18)))&~((X27 @ X17)))&~((X27 @ X15)))&~((X27 @ X14)))&~((X27 @ X13)))&~((X27 @ X12)))&~((X27 @ X11)))&~((X27 @ X5)))&~((X26 @ X20)))&~((X26 @ X18)))&~((X26 @ X17)))&~((X26 @ X13)))&~((X26 @ X11)))&~((X26 @ X6)))&~((X26 @ X3)))&~((X26 @ X2)))&~((X25 @ X20)))&~((X25 @ X19)))&~((X25 @ X18)))&~((X25 @ X16)))&~((X25 @ X15)))&~((X25 @ X11)))&~((X24 @ X20)))&~((X24 @ X19)))&~((X24 @ X12)))&~((X24 @ X4)))&~((X23 @ X19)))&~((X23 @ X18)))&~((X23 @ X14)))&(X23 @ X12))&~((X23 @ X6)))&~((X23 @ X5)))&~((X23 @ X3)))&~((X23 @ X2)))&~((X22 @ X20)))&~((X22 @ X17)))&~((X22 @ X12)))&(X22 @ X11))&~((X22 @ X6)))&~((X22 @ X5)))&~((X22 @ X2)))&~((X21 @ X17)))&~((X21 @ X11)))&~((X21 @ X5)))&~((X21 @ X2)))&~((X10 @ X20)))&~((X10 @ X19)))&~((X10 @ X18)))&~((X10 @ X17)))&~((X10 @ X16)))&~((X10 @ X14)))&~((X10 @ X13)))&(X10 @ X5))&~((X10 @ X4)))&~((X10 @ X2)))&~((X9 @ X17)))&~((X9 @ X14)))&~((X9 @ X6)))&(X9 @ X4))&~((X9 @ X3)))&~((X9 @ X2)))&~((X8 @ X16)))&~((X8 @ X15)))&~((X8 @ X6)))&~((X8 @ X5)))&~((X8 @ X2)))&~((X7 @ X20)))&~((X7 @ X19)))&~((X7 @ X17)))&~((X7 @ X13)))&~((X7 @ X6)))&~((X7 @ X5)))&~((X7 @ X4)))&~((X7 @ X3)))=>((X1 @ X3 @ X2)|(X1 @ X4 @ X3)|(X1 @ X5 @ X2)|(X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X11 @ X4)|(X1 @ X11 @ X6)|(X1 @ X12 @ X11)|(X1 @ X13 @ X4)|(X1 @ X13 @ X6)|(X1 @ X14 @ X2)|(X1 @ X14 @ X5)|(X1 @ X14 @ X6)|(X1 @ X14 @ X11)|(X1 @ X14 @ X13)|(X1 @ X15 @ X2)|(X1 @ X15 @ X6)|(X1 @ X15 @ X11)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X16 @ X3)|(X1 @ X16 @ X11)|(X1 @ X16 @ X12)|(X1 @ X16 @ X13)|(X1 @ X17 @ X2)|(X1 @ X17 @ X3)|(X1 @ X17 @ X4)|(X1 @ X17 @ X5)|(X1 @ X17 @ X6)|(X1 @ X17 @ X13)|(X1 @ X17 @ X15)|(X1 @ X17 @ X16)|(X1 @ X18 @ X6)|(X1 @ X18 @ X12)|(X1 @ X18 @ X13)|(X1 @ X18 @ X14)|(X1 @ X18 @ X15)|(X1 @ X18 @ X16)|(X1 @ X19 @ X11)|(X1 @ X19 @ X14)|(X1 @ X19 @ X18)|(X1 @ X20 @ X3)|(X1 @ X20 @ X4)|(X1 @ X20 @ X5)|(X1 @ X20 @ X12)|(X1 @ X20 @ X15)|(X1 @ X20 @ X16)|(X1 @ X20 @ X18)|(X1 @ X20 @ X19)|(X1 @ X20 @ X17)|(X1 @ X20 @ X14)|(X1 @ X20 @ X13)|(X1 @ X20 @ X11)|(X1 @ X20 @ X6)|(X1 @ X20 @ X2)|(X1 @ X19 @ X17)|(X1 @ X19 @ X16)|(X1 @ X19 @ X15)|(X1 @ X19 @ X13)|(X1 @ X19 @ X12)|(X1 @ X19 @ X6)|(X1 @ X19 @ X5)|(X1 @ X19 @ X4)|(X1 @ X19 @ X3)|(X1 @ X19 @ X2)|(X1 @ X18 @ X17)|(X1 @ X18 @ X11)|(X1 @ X18 @ X5)|(X1 @ X18 @ X4)|(X1 @ X18 @ X3)|(X1 @ X18 @ X2)|(X1 @ X17 @ X14)|(X1 @ X17 @ X12)|(X1 @ X17 @ X11)|(X1 @ X16 @ X15)|(X1 @ X16 @ X14)|(X1 @ X16 @ X6)|(X1 @ X16 @ X5)|(X1 @ X16 @ X4)|(X1 @ X16 @ X2)|(X1 @ X15 @ X12)|(X1 @ X15 @ X5)|(X1 @ X15 @ X4)|(X1 @ X15 @ X3)|(X1 @ X14 @ X12)|(X1 @ X14 @ X4)|(X1 @ X14 @ X3)|(X1 @ X13 @ X12)|(X1 @ X13 @ X11)|(X1 @ X13 @ X5)|(X1 @ X13 @ X3)|(X1 @ X13 @ X2)|(X1 @ X12 @ X6)|(X1 @ X12 @ X5)|(X1 @ X12 @ X4)|(X1 @ X12 @ X3)|(X1 @ X12 @ X2)|(X1 @ X11 @ X5)|(X1 @ X11 @ X3)|(X1 @ X11 @ X2)|(X1 @ X6 @ X3)|(X1 @ X6 @ X2)|(X1 @ X5 @ X3)|(X1 @ X4 @ X2)))))&![X31:$o > ($o > $o) > $o, X32:$o > ($o > $o) > $o]:(((X1 @ X31 @ X32)=>(X1 @ X32 @ X31)))))), inference(assume_negation,[status(cth)],[ramsey_l_5_15_256a])). 7.04/1.51 thf(c_0_4, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred1_1 @ X1)<=>![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o, X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:($o > ($o > $o) > $o) > $o, X8:($o > ($o > $o) > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o]:(((((((((((((((((((((~((X7 @ X3))&~((X7 @ X6)))&~((X8 @ X2)))&(X8 @ X3))&~((X8 @ X5)))&~((X9 @ X3)))&(X9 @ X4))&~((X9 @ X5)))&~((X10 @ X4)))&~((X10 @ X6)))&(X10 @ X5))&~((X10 @ X3)))&~((X10 @ X2)))&~((X9 @ X6)))&~((X9 @ X2)))&~((X8 @ X6)))&~((X8 @ X4)))&~((X7 @ X5)))&~((X7 @ X4)))&(X7 @ X2))=>(~((X1 @ X3 @ X2))|~((X1 @ X4 @ X2))|~((X1 @ X4 @ X3))|~((X1 @ X5 @ X3))|~((X1 @ X6 @ X2))|~((X1 @ X6 @ X3))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X4))|~((X1 @ X5 @ X4))|~((X1 @ X5 @ X2))))))), introduced(definition)). 7.04/1.51 thf(c_0_5, plain, ![X87:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((epred29_1 @ X87 @ (epred14_1 @ X87))|(epred2_1 @ X87))&(~(epred29_1 @ X87 @ (epred19_1 @ X87))|(epred2_1 @ X87)))&(~(epred29_1 @ X87 @ (epred20_1 @ X87))|(epred2_1 @ X87)))&(~(epred29_1 @ X87 @ (epred22_1 @ X87))|(epred2_1 @ X87)))&(~(epred29_1 @ X87 @ (epred23_1 @ X87))|(epred2_1 @ X87)))&(~(epred29_1 @ X87 @ (epred24_1 @ 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@ X87)))&(~(epred39_1 @ X87 @ (epred20_1 @ X87))|(epred2_1 @ X87)))&(~(epred39_1 @ X87 @ (epred19_1 @ X87))|(epred2_1 @ X87)))&(~(epred39_1 @ X87 @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(epred38_1 @ X87 @ (epred28_1 @ X87))|(epred2_1 @ X87)))&(~(epred38_1 @ X87 @ (epred26_1 @ X87))|(epred2_1 @ X87)))&(~(epred38_1 @ X87 @ (epred25_1 @ X87))|(epred2_1 @ X87)))&(~(epred38_1 @ X87 @ (epred21_1 @ X87))|(epred2_1 @ X87)))&(~(epred38_1 @ X87 @ (epred19_1 @ X87))|(epred2_1 @ X87)))&(~(epred38_1 @ X87 @ (epred18_1 @ X87))|(epred2_1 @ X87)))&(~(epred38_1 @ X87 @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(epred38_1 @ X87 @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(epred37_1 @ X87 @ (epred28_1 @ X87))|(epred2_1 @ X87)))&(~(epred37_1 @ X87 @ (epred27_1 @ X87))|(epred2_1 @ X87)))&(~(epred37_1 @ X87 @ (epred26_1 @ X87))|(epred2_1 @ X87)))&(~(epred37_1 @ X87 @ (epred24_1 @ X87))|(epred2_1 @ X87)))&(~(epred37_1 @ X87 @ (epred23_1 @ X87))|(epred2_1 @ X87)))&(~(epred37_1 @ X87 @ (epred19_1 @ 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X87))|(epred2_1 @ X87)))&(~(epred34_1 @ X87 @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(epred34_1 @ X87 @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(epred33_1 @ X87 @ (epred25_1 @ X87))|(epred2_1 @ X87)))&(~(epred33_1 @ X87 @ (epred19_1 @ X87))|(epred2_1 @ X87)))&(~(epred33_1 @ X87 @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(epred33_1 @ X87 @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(epred32_1 @ X87 @ (epred28_1 @ X87))|(epred2_1 @ X87)))&(~(epred32_1 @ X87 @ (epred27_1 @ X87))|(epred2_1 @ X87)))&(~(epred32_1 @ X87 @ (epred26_1 @ X87))|(epred2_1 @ X87)))&(~(epred32_1 @ X87 @ (epred25_1 @ X87))|(epred2_1 @ X87)))&(~(epred32_1 @ X87 @ (epred24_1 @ X87))|(epred2_1 @ X87)))&(~(epred32_1 @ X87 @ (epred22_1 @ X87))|(epred2_1 @ X87)))&(~(epred32_1 @ X87 @ (epred21_1 @ X87))|(epred2_1 @ X87)))&((epred32_1 @ X87 @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(epred32_1 @ X87 @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(epred32_1 @ X87 @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(epred31_1 @ X87 @ (epred25_1 @ X87))|(epred2_1 @ X87)))&(~(epred31_1 @ X87 @ (epred22_1 @ X87))|(epred2_1 @ X87)))&(~(epred31_1 @ X87 @ (epred18_1 @ X87))|(epred2_1 @ X87)))&((epred31_1 @ X87 @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(epred31_1 @ X87 @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(epred31_1 @ X87 @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(epred30_1 @ X87 @ (epred24_1 @ X87))|(epred2_1 @ X87)))&(~(epred30_1 @ X87 @ (epred23_1 @ X87))|(epred2_1 @ X87)))&(~(epred30_1 @ X87 @ (epred18_1 @ X87))|(epred2_1 @ X87)))&(~(epred30_1 @ X87 @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(epred30_1 @ X87 @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(epred29_1 @ X87 @ (epred28_1 @ X87))|(epred2_1 @ X87)))&(~(epred29_1 @ X87 @ (epred27_1 @ X87))|(epred2_1 @ X87)))&(~(epred29_1 @ X87 @ (epred25_1 @ X87))|(epred2_1 @ X87)))&(~(epred29_1 @ X87 @ (epred21_1 @ X87))|(epred2_1 @ X87)))&(~(epred29_1 @ X87 @ (epred18_1 @ X87))|(epred2_1 @ X87)))&(~(epred29_1 @ X87 @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(epred29_1 @ X87 @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(epred29_1 @ X87 @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(X87 @ (epred15_1 @ X87) @ (epred14_1 @ X87))|(epred2_1 @ X87))&(~(X87 @ (epred16_1 @ X87) @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred17_1 @ X87) @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred17_1 @ X87) @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred18_1 @ X87) @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred18_1 @ X87) @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred19_1 @ X87) @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred19_1 @ X87) @ (epred18_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred20_1 @ X87) @ (epred19_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred21_1 @ X87) @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred21_1 @ X87) @ (epred18_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred22_1 @ X87) @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred22_1 @ X87) @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred22_1 @ X87) @ (epred18_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred22_1 @ X87) @ (epred19_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred22_1 @ X87) @ (epred21_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred23_1 @ X87) @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred23_1 @ X87) @ (epred18_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred23_1 @ X87) @ (epred19_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred23_1 @ X87) @ (epred21_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred23_1 @ X87) @ (epred22_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred24_1 @ X87) @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred24_1 @ X87) @ (epred19_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred24_1 @ X87) @ (epred20_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred24_1 @ X87) @ (epred21_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred25_1 @ X87) @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred25_1 @ X87) @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred25_1 @ X87) @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred25_1 @ X87) @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred25_1 @ X87) @ (epred18_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred25_1 @ X87) @ (epred21_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred25_1 @ X87) @ (epred23_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred25_1 @ X87) @ (epred24_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred26_1 @ X87) @ (epred18_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred26_1 @ X87) @ (epred20_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred26_1 @ X87) @ (epred21_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred26_1 @ X87) @ (epred22_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred26_1 @ X87) @ (epred23_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred26_1 @ X87) @ (epred24_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred27_1 @ X87) @ (epred19_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred27_1 @ X87) @ (epred22_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred27_1 @ X87) @ (epred26_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred28_1 @ X87) @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred28_1 @ X87) @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred28_1 @ X87) @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred28_1 @ X87) @ (epred20_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred28_1 @ X87) @ (epred23_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred28_1 @ X87) @ (epred24_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred28_1 @ X87) @ (epred26_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred28_1 @ X87) @ (epred27_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred28_1 @ X87) @ (epred25_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred28_1 @ X87) @ (epred22_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred28_1 @ X87) @ (epred21_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred28_1 @ X87) @ (epred19_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred28_1 @ X87) @ (epred18_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred28_1 @ X87) @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred27_1 @ X87) @ (epred25_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred27_1 @ X87) @ (epred24_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred27_1 @ X87) @ (epred23_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred27_1 @ X87) @ (epred21_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred27_1 @ X87) @ (epred20_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred27_1 @ X87) @ (epred18_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred27_1 @ X87) @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred27_1 @ X87) @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred27_1 @ X87) @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred27_1 @ X87) @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred26_1 @ X87) @ (epred25_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred26_1 @ X87) @ (epred19_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred26_1 @ X87) @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred26_1 @ X87) @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred26_1 @ X87) @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred26_1 @ X87) @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred25_1 @ X87) @ (epred22_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred25_1 @ X87) @ (epred20_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred25_1 @ X87) @ (epred19_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred24_1 @ X87) @ (epred23_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred24_1 @ X87) @ (epred22_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred24_1 @ X87) @ (epred18_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred24_1 @ X87) @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred24_1 @ X87) @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred24_1 @ X87) @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred23_1 @ X87) @ (epred20_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred23_1 @ X87) @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred23_1 @ X87) @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred23_1 @ X87) @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred22_1 @ X87) @ (epred20_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred22_1 @ X87) @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred22_1 @ X87) @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred21_1 @ X87) @ (epred20_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred21_1 @ X87) @ (epred19_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred21_1 @ X87) @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred21_1 @ X87) @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred21_1 @ X87) @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred20_1 @ X87) @ (epred18_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred20_1 @ X87) @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred20_1 @ X87) @ (epred16_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred20_1 @ X87) @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred20_1 @ X87) @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred19_1 @ X87) @ (epred17_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred19_1 @ X87) @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred19_1 @ X87) @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred18_1 @ X87) @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred18_1 @ X87) @ (epred14_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred17_1 @ X87) @ (epred15_1 @ X87))|(epred2_1 @ X87)))&(~(X87 @ (epred16_1 @ X87) @ (epred14_1 @ X87))|(epred2_1 @ X87))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])). 7.04/1.51 thf(c_0_6, negated_conjecture, ~(?[X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((((epred1_1 @ X1)&(epred2_1 @ X1))&![X31:$o > ($o > $o) > $o, X32:$o > ($o > $o) > $o]:(((X1 @ X31 @ X32)=>(X1 @ X32 @ X31)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3]), c_0_4]), c_0_1])). 7.04/1.51 thf(c_0_7, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)|~((epred29_1 @ X1 @ (epred15_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_5])). 7.04/1.51 thf(c_0_8, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred29_1 @ X1 @ (epred14_1 @ X1))|(epred2_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_5])). 7.04/1.51 thf(c_0_9, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)|~((X1 @ (epred15_1 @ X1) @ (epred14_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_5])). 7.04/1.51 thf(c_0_10, negated_conjecture, ![X74:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((((X74 @ (epred3_1 @ X74) @ (epred4_1 @ X74))|(~(epred1_1 @ X74)|~(epred2_1 @ X74)))&(~(X74 @ (epred4_1 @ X74) @ (epred3_1 @ X74))|(~(epred1_1 @ X74)|~(epred2_1 @ X74))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])). 7.04/1.51 thf(c_0_11, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)|((epred15_1 @ X1)!=(epred14_1 @ X1)))), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_7, c_0_8])])). 7.04/1.51 thf(c_0_12, plain, (((epred15_1 @ $neq)=(epred14_1 @ $neq))|(epred2_1 @ $neq)), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_9])). 7.04/1.51 thf(c_0_13, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o, X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:($o > ($o > $o) > $o) > $o, X8:($o > ($o > $o) > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o]:(((((((((((((((((((((~((X7 @ X3))&~((X7 @ X6)))&~((X8 @ X2)))&(X8 @ X3))&~((X8 @ X5)))&~((X9 @ X3)))&(X9 @ X4))&~((X9 @ X5)))&~((X10 @ X4)))&~((X10 @ X6)))&(X10 @ X5))&~((X10 @ X3)))&~((X10 @ X2)))&~((X9 @ X6)))&~((X9 @ X2)))&~((X8 @ X6)))&~((X8 @ X4)))&~((X7 @ X5)))&~((X7 @ X4)))&(X7 @ X2))=>(~((X1 @ X3 @ X2))|~((X1 @ X4 @ X2))|~((X1 @ X4 @ X3))|~((X1 @ X5 @ X3))|~((X1 @ X6 @ X2))|~((X1 @ X6 @ X3))|~((X1 @ X6 @ X5))|~((X1 @ X6 @ X4))|~((X1 @ X5 @ X4))|~((X1 @ X5 @ X2)))))=>(epred1_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_4])). 7.04/1.51 thf(c_0_14, negated_conjecture, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((~((X1 @ (epred4_1 @ X1) @ (epred3_1 @ X1)))|~((epred1_1 @ X1))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_10])). 7.04/1.51 thf(c_0_15, negated_conjecture, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((X1 @ (epred3_1 @ X1) @ (epred4_1 @ X1))|~((epred1_1 @ X1))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_10])). 7.04/1.51 thf(c_0_16, plain, (epred2_1 @ $neq), inference(spm,[status(thm)],[c_0_11, c_0_12])). 7.04/1.51 thf(c_0_17, plain, ![X77:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((~(epred10_1 @ X77 @ (epred6_1 @ X77))|(epred1_1 @ X77))&(~(epred10_1 @ X77 @ (epred9_1 @ X77))|(epred1_1 @ X77)))&(~(epred11_1 @ X77 @ (epred5_1 @ X77))|(epred1_1 @ X77)))&((epred11_1 @ X77 @ (epred6_1 @ X77))|(epred1_1 @ X77)))&(~(epred11_1 @ X77 @ (epred8_1 @ X77))|(epred1_1 @ X77)))&(~(epred12_1 @ X77 @ (epred6_1 @ X77))|(epred1_1 @ X77)))&((epred12_1 @ X77 @ (epred7_1 @ X77))|(epred1_1 @ X77)))&(~(epred12_1 @ X77 @ (epred8_1 @ X77))|(epred1_1 @ X77)))&(~(epred13_1 @ X77 @ (epred7_1 @ X77))|(epred1_1 @ X77)))&(~(epred13_1 @ X77 @ (epred9_1 @ X77))|(epred1_1 @ X77)))&((epred13_1 @ X77 @ (epred8_1 @ X77))|(epred1_1 @ X77)))&(~(epred13_1 @ X77 @ (epred6_1 @ X77))|(epred1_1 @ X77)))&(~(epred13_1 @ X77 @ (epred5_1 @ X77))|(epred1_1 @ X77)))&(~(epred12_1 @ X77 @ (epred9_1 @ X77))|(epred1_1 @ X77)))&(~(epred12_1 @ X77 @ (epred5_1 @ X77))|(epred1_1 @ X77)))&(~(epred11_1 @ X77 @ (epred9_1 @ X77))|(epred1_1 @ X77)))&(~(epred11_1 @ X77 @ (epred7_1 @ X77))|(epred1_1 @ X77)))&(~(epred10_1 @ X77 @ (epred8_1 @ X77))|(epred1_1 @ X77)))&(~(epred10_1 @ X77 @ (epred7_1 @ X77))|(epred1_1 @ X77)))&((epred10_1 @ X77 @ (epred5_1 @ X77))|(epred1_1 @ X77)))&(((((((((((X77 @ (epred6_1 @ X77) @ (epred5_1 @ X77))|(epred1_1 @ X77))&((X77 @ (epred7_1 @ X77) @ (epred5_1 @ X77))|(epred1_1 @ X77)))&((X77 @ (epred7_1 @ X77) @ (epred6_1 @ X77))|(epred1_1 @ X77)))&((X77 @ (epred8_1 @ X77) @ (epred6_1 @ X77))|(epred1_1 @ X77)))&((X77 @ (epred9_1 @ X77) @ (epred5_1 @ X77))|(epred1_1 @ X77)))&((X77 @ (epred9_1 @ X77) @ (epred6_1 @ X77))|(epred1_1 @ X77)))&((X77 @ (epred9_1 @ X77) @ (epred8_1 @ X77))|(epred1_1 @ X77)))&((X77 @ (epred9_1 @ X77) @ (epred7_1 @ X77))|(epred1_1 @ X77)))&((X77 @ (epred8_1 @ X77) @ (epred7_1 @ X77))|(epred1_1 @ X77)))&((X77 @ (epred8_1 @ X77) @ (epred5_1 @ X77))|(epred1_1 @ X77))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])). 7.04/1.51 thf(c_0_18, negated_conjecture, (((epred4_1 @ $neq)=(epred3_1 @ $neq))|~((epred1_1 @ $neq))|~((epred2_1 @ $neq))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_14])). 7.04/1.51 thf(c_0_19, negated_conjecture, (((epred4_1 @ $neq)!=(epred3_1 @ $neq))|~((epred1_1 @ $neq))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_15]), c_0_16])])). 7.04/1.51 thf(c_0_20, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((X1 @ (epred6_1 @ X1) @ (epred5_1 @ X1))|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_17])). 7.04/1.51 thf(c_0_21, negated_conjecture, ~((epred1_1 @ $neq)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_16])]), c_0_19])). 7.04/1.51 thf(c_0_22, plain, ((epred6_1 @ $neq)!=(epred5_1 @ $neq)), inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_20]), c_0_21])). 7.04/1.51 thf(c_0_23, plain, ((epred6_1 @ $neq @ ((esk335_0)) @ esk336_1)<~>(epred5_1 @ $neq @ ((esk335_0)) @ esk336_1)), inference(neg_ext,[status(thm)],[c_0_22])). 7.04/1.51 thf(c_0_24, plain, (epred349_0), inference(dynamic_cnf,[status(thm)],[c_0_23])). 7.04/1.51 thf(c_0_25, plain, (epred350_0), inference(dynamic_cnf,[status(thm)],[c_0_23])). 7.04/1.51 thf(c_0_26, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_23]), c_0_24]), c_0_25])]), ['proof']). 7.04/1.51 % SZS output end CNFRefutation 7.04/1.51 % Parsed axioms : 1 7.04/1.51 % Removed by relevancy pruning/SinE : 0 7.04/1.51 % Initial clauses : 347 7.04/1.51 % Removed in clause preprocessing : 0 7.04/1.51 % Initial clauses in saturation : 347 7.04/1.51 % Processed clauses : 884 7.04/1.51 % ...of these trivial : 3 7.04/1.51 % ...subsumed : 109 7.04/1.51 % ...remaining for further processing : 771 7.04/1.51 % Other redundant clauses eliminated : 212 7.04/1.51 % Clauses deleted for lack of memory : 0 7.04/1.51 % Backward-subsumed : 4 7.04/1.51 % Backward-rewritten : 3 7.04/1.51 % Generated clauses : 1196 7.04/1.51 % ...of the previous two non-redundant : 911 7.04/1.51 % ...aggressively subsumed : 0 7.04/1.51 % Contextual simplify-reflections : 2 7.04/1.51 % Paramodulations : 35 7.04/1.51 % Factorizations : 0 7.04/1.51 % NegExts : 306 7.04/1.51 % Equation resolutions : 212 7.04/1.51 % Disequality decompositions : 0 7.04/1.51 % Total rewrite steps : 16 7.04/1.51 % ...of those cached : 13 7.04/1.51 % Propositional unsat checks : 0 7.04/1.51 % Propositional check models : 0 7.04/1.51 % Propositional check unsatisfiable : 0 7.04/1.51 % Propositional clauses : 0 7.04/1.51 % Propositional clauses after purity: 0 7.04/1.51 % Propositional unsat core size : 0 7.04/1.51 % Propositional preprocessing time : 0.000 7.04/1.51 % Propositional encoding time : 0.000 7.04/1.51 % Propositional solver time : 0.000 7.04/1.51 % Success case prop preproc time : 0.000 7.04/1.51 % Success case prop encoding time : 0.000 7.04/1.51 % Success case prop solver time : 0.000 7.04/1.51 % Current number of processed clauses : 416 7.04/1.51 % Positive orientable unit clauses : 3 7.04/1.51 % Positive unorientable unit clauses: 0 7.04/1.51 % Negative unit clauses : 3 7.04/1.51 % Non-unit-clauses : 410 7.04/1.51 % Current number of unprocessed clauses: 720 7.04/1.51 % ...number of literals in the above : 1539 7.04/1.51 % Current number of archived formulas : 0 7.04/1.51 % Current number of archived clauses : 355 7.04/1.51 % Clause-clause subsumption calls (NU) : 23887 7.04/1.51 % Rec. Clause-clause subsumption calls : 21772 7.04/1.51 % Non-unit clause-clause subsumptions : 110 7.04/1.51 % Unit Clause-clause subsumption calls : 1137 7.04/1.51 % Rewrite failures with RHS unbound : 0 7.04/1.51 % BW rewrite match attempts : 1 7.04/1.51 % BW rewrite match successes : 1 7.04/1.51 % Condensation attempts : 0 7.04/1.51 % Condensation successes : 0 7.04/1.51 % Termbank termtop insertions : 88394 7.04/1.51 % Search garbage collected termcells : 9559 7.04/1.51 7.04/1.51 % ------------------------------------------------- 7.04/1.51 % User time : 1.811 s 7.04/1.51 % System time : 0.084 s 7.04/1.51 % Total time : 1.895 s 7.04/1.51 % Maximum resident set size: 5608 pages 7.04/1.51 7.04/1.51 % ------------------------------------------------- 7.04/1.51 % User time : 1.822 s 7.04/1.51 % System time : 0.092 s 7.04/1.51 % Total time : 1.915 s 7.04/1.51 % Maximum resident set size: 5120 pages 7.04/1.51 % E exiting 7.04/1.51 EOF