%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRA069^2 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:49:57 AM UTC 2026
% Result : Theorem 8.32s 1.77s
% Output : CNFRefutation 8.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA069^2 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n016.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 18:57:04 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.28 Running higher-order theorem proving
% 0.25/0.30 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=300 /export/starexec/sandbox/tmp/tmp.O8tP6lwWMy/E---3.1_764653.p
% 8.32/1.77 % Version: 3.5.1-ho
% 8.32/1.77 % Preprocessing class: HSLSSMSSSSSNHHA.
% 8.32/1.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.32/1.77 % Starting new_ho_10 with 600s (2) cores
% 8.32/1.77 % Starting sh3 with 600s (2) cores
% 8.32/1.77 % Starting ho_unfolding_3 with 600s (2) cores
% 8.32/1.77 % Starting new_ho_10_cnf2 with 600s (2) cores
% 8.32/1.77 % new_ho_10_cnf2 with pid 764669 completed with status 0
% 8.32/1.77 % Result found by new_ho_10_cnf2
% 8.32/1.77 % Preprocessing class: HSLSSMSSSSSNHHA.
% 8.32/1.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.32/1.77 % Starting new_ho_10 with 600s (2) cores
% 8.32/1.77 % Starting sh3 with 600s (2) cores
% 8.32/1.77 % Starting ho_unfolding_3 with 600s (2) cores
% 8.32/1.77 % Starting new_ho_10_cnf2 with 600s (2) cores
% 8.32/1.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.32/1.77 % No SInE strategy applied
% 8.32/1.77 % Search class: HGHNF-FSLF00-SHHFFSBN
% 8.32/1.77 % Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 8.32/1.77 % Starting SubtermCWHack with 61s (1) cores
% 8.32/1.77 % Starting new_ho_10 with 121s (1) cores
% 8.32/1.77 % SubtermCWHack with pid 764676 completed with status 10
% 8.32/1.77 % Starting sh3 with 121s (1) cores
% 8.32/1.77 % new_ho_10 with pid 764677 completed with status 10
% 8.32/1.77 % Starting ho_unfolding_3 with 121s (1) cores
% 8.32/1.77 % ho_unfolding_3 with pid 764684 completed with status 10
% 8.32/1.77 % Starting new_ho_10_cnf2 with 121s (1) cores
% 8.32/1.77 % new_ho_10_cnf2 with pid 764686 completed with status 10
% 8.32/1.77 % Starting pre_casc_2 with 55s (1) cores
% 8.32/1.77 % sh3 with pid 764681 completed with status 10
% 8.32/1.77 % pre_casc_2 with pid 764688 completed with status 10
% 8.32/1.77 % Schedule exhausted
% 8.32/1.77
% 8.32/1.77 % -------------------------------------------------
% 8.32/1.77 % User time : 2.118 s
% 8.32/1.77 % System time : 0.081 s
% 8.32/1.77 % Total time : 2.199 s
% 8.32/1.77 % Maximum resident set size: 5072 pages
% 8.32/1.77 % executing default schedule for 597.801 seconds.
% 8.32/1.77 % Scheduled 7 strats onto 2 cores with 597 seconds (591 total)
% 8.32/1.77 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 86s (1) cores
% 8.32/1.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 86s (1) cores
% 8.32/1.77 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 764699 completed with status 10
% 8.32/1.77 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 86s (1) cores
% 8.32/1.77 % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 764698 completed with status 10
% 8.32/1.77 % Starting lpo1_def_fix with 86s (1) cores
% 8.32/1.77 % G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 764700 completed with status 10
% 8.32/1.77 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 86s (1) cores
% 8.32/1.77 % G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 764702 completed with status 10
% 8.32/1.77 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 86s (1) cores
% 8.32/1.77 % lpo1_def_fix with pid 764701 completed with status 0
% 8.32/1.77 % Result found by lpo1_def_fix
% 8.32/1.77 % Preprocessing class: HSLSSMSSSSSNHHA.
% 8.32/1.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.32/1.77 % Starting new_ho_10 with 600s (2) cores
% 8.32/1.77 % Starting sh3 with 600s (2) cores
% 8.32/1.77 % Starting ho_unfolding_3 with 600s (2) cores
% 8.32/1.77 % Starting new_ho_10_cnf2 with 600s (2) cores
% 8.32/1.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.32/1.77 % No SInE strategy applied
% 8.32/1.77 % Search class: HGHNF-FSLF00-SHHFFSBN
% 8.32/1.77 % Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 8.32/1.77 % Starting SubtermCWHack with 61s (1) cores
% 8.32/1.77 % Starting new_ho_10 with 121s (1) cores
% 8.32/1.77 % SubtermCWHack with pid 764676 completed with status 10
% 8.32/1.77 % Starting sh3 with 121s (1) cores
% 8.32/1.77 % new_ho_10 with pid 764677 completed with status 10
% 8.32/1.77 % Starting ho_unfolding_3 with 121s (1) cores
% 8.32/1.77 % ho_unfolding_3 with pid 764684 completed with status 10
% 8.32/1.77 % Starting new_ho_10_cnf2 with 121s (1) cores
% 8.32/1.77 % new_ho_10_cnf2 with pid 764686 completed with status 10
% 8.32/1.77 % Starting pre_casc_2 with 55s (1) cores
% 8.32/1.77 % sh3 with pid 764681 completed with status 10
% 8.32/1.77 % pre_casc_2 with pid 764688 completed with status 10
% 8.32/1.77 % Schedule exhausted
% 8.32/1.77
% 8.32/1.77 % -------------------------------------------------
% 8.32/1.77 % User time : 2.118 s
% 8.32/1.77 % System time : 0.081 s
% 8.32/1.77 % Total time : 2.199 s
% 8.32/1.77 % Maximum resident set size: 5072 pages
% 8.32/1.77 % executing default schedule for 597.801 seconds.
% 8.32/1.77 % Scheduled 7 strats onto 2 cores with 597 seconds (591 total)
% 8.32/1.77 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 86s (1) cores
% 8.32/1.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 86s (1) cores
% 8.32/1.77 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 764699 completed with status 10
% 8.32/1.77 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 86s (1) cores
% 8.32/1.77 % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 764698 completed with status 10
% 8.32/1.77 % Starting lpo1_def_fix with 86s (1) cores
% 8.32/1.77 % Preprocessing time : 0.003 s
% 8.32/1.77 % Presaturation interreduction done
% 8.32/1.77
% 8.32/1.77 % Proof found!
% 8.32/1.77 % SZS status Theorem
% 8.32/1.77 % SZS output start CNFRefutation
% 8.32/1.77 thf(decl_23, type, epred1_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o).
% 8.32/1.77 thf(decl_24, type, epred2_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o).
% 8.32/1.77 thf(decl_25, type, epred3_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_26, type, epred4_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_27, type, epred5_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_28, type, epred6_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_29, type, epred7_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_30, type, epred8_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_31, type, epred9_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_32, type, epred10_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_33, type, epred11_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_34, type, epred12_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_35, type, epred13_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_36, type, epred14_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_37, type, epred15_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_38, type, epred16_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_39, type, epred17_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_40, type, epred18_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_41, type, epred19_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_42, type, epred20_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_43, type, epred21_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_44, type, epred22_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_45, type, epred23_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_46, type, epred24_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_47, type, epred25_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_48, type, epred26_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_49, type, epred27_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 8.32/1.77 thf(decl_50, type, epred28_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_51, type, epred29_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_52, type, epred30_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_53, type, epred31_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_54, type, epred32_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_55, type, epred33_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_56, type, epred34_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_57, type, epred35_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_58, type, epred36_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_59, type, epred37_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_60, type, epred38_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_61, type, epred39_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_62, type, epred40_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 8.32/1.77 thf(decl_551, type, esk529_0: $o).
% 8.32/1.77 thf(decl_552, type, esk530_1: $o > $o).
% 8.32/1.77 thf(decl_732, type, epred710_0: $o).
% 8.32/1.77 thf(decl_733, type, epred711_0: $o).
% 8.32/1.77 thf(ramsey_l_5_14_256a, conjecture, ?[X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o]:(((X1 @ X2 @ X3)=>(X1 @ X3 @ X2)))&![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6))|~((X1 @ X8 @ X4))|~((X1 @ X8 @ X5))|~((X1 @ X8 @ X6))|~((X1 @ X8 @ X7))))))&![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$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) > $o, X21:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($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]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X9 @ X17)))&~((X9 @ X18)))&~((X9 @ X19)))&~((X9 @ X20)))&~((X9 @ X21)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X10 @ X13)))&~((X10 @ X14)))&~((X10 @ X15)))&~((X10 @ X16)))&~((X10 @ X17)))&~((X10 @ X18)))&~((X10 @ X19)))&~((X10 @ X20)))&~((X10 @ X21)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X11 @ X13)))&~((X11 @ X14)))&~((X11 @ X15)))&~((X11 @ X16)))&~((X11 @ X17)))&~((X11 @ X18)))&~((X11 @ X19)))&~((X11 @ X20)))&~((X11 @ X21)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))&~((X12 @ X13)))&~((X12 @ X14)))&~((X12 @ X15)))&~((X12 @ X16)))&~((X12 @ X17)))&~((X12 @ X18)))&~((X12 @ X19)))&~((X12 @ X20)))&~((X12 @ X21)))&~((X22 @ X4)))&~((X22 @ X5)))&~((X22 @ X6)))&~((X22 @ X7)))&(X22 @ X8))&~((X22 @ X13)))&~((X22 @ X14)))&~((X22 @ X15)))&~((X22 @ X16)))&~((X22 @ X17)))&~((X22 @ X18)))&~((X22 @ X19)))&~((X22 @ X20)))&~((X22 @ X21)))&~((X23 @ X4)))&~((X23 @ X5)))&~((X23 @ X6)))&~((X23 @ X7)))&~((X23 @ X8)))&(X23 @ X13))&~((X23 @ X14)))&~((X23 @ X15)))&~((X23 @ X16)))&~((X23 @ X17)))&~((X23 @ X18)))&~((X23 @ X19)))&~((X23 @ X20)))&~((X23 @ X21)))&~((X24 @ X4)))&~((X24 @ X5)))&~((X24 @ X6)))&~((X24 @ X7)))&~((X24 @ X8)))&~((X24 @ X13)))&(X24 @ X14))&~((X24 @ X15)))&~((X24 @ X16)))&~((X24 @ X17)))&~((X24 @ X18)))&~((X24 @ X19)))&~((X24 @ X20)))&~((X24 @ X21)))&~((X25 @ X4)))&~((X25 @ X5)))&~((X25 @ X6)))&~((X25 @ X7)))&~((X25 @ X8)))&~((X25 @ X13)))&~((X25 @ X14)))&(X25 @ X15))&~((X25 @ X16)))&~((X25 @ X17)))&~((X25 @ X18)))&~((X25 @ X19)))&~((X25 @ X20)))&~((X25 @ X21)))&~((X26 @ X4)))&~((X26 @ X5)))&~((X26 @ X6)))&~((X26 @ X7)))&~((X26 @ X8)))&~((X26 @ X13)))&~((X26 @ X14)))&~((X26 @ X15)))&(X26 @ X16))&~((X26 @ X17)))&~((X26 @ X18)))&~((X26 @ X19)))&~((X26 @ X20)))&~((X26 @ X21)))&~((X27 @ X4)))&~((X27 @ X5)))&~((X27 @ X6)))&~((X27 @ X7)))&~((X27 @ X8)))&~((X27 @ X13)))&~((X27 @ X14)))&~((X27 @ X15)))&~((X27 @ X16)))&(X27 @ X17))&~((X27 @ X18)))&~((X27 @ X19)))&~((X27 @ X20)))&~((X27 @ X21)))&~((X28 @ X4)))&~((X28 @ X5)))&~((X28 @ X6)))&~((X28 @ X7)))&~((X28 @ X8)))&~((X28 @ X13)))&~((X28 @ X14)))&~((X28 @ X15)))&~((X28 @ X16)))&~((X28 @ X17)))&(X28 @ X18))&~((X28 @ X19)))&~((X28 @ X20)))&~((X28 @ X21)))&~((X29 @ X4)))&~((X29 @ X5)))&~((X29 @ X6)))&~((X29 @ X7)))&~((X29 @ X8)))&~((X29 @ X13)))&~((X29 @ X14)))&~((X29 @ X15)))&~((X29 @ X16)))&~((X29 @ X17)))&~((X29 @ X18)))&(X29 @ X19))&~((X29 @ X20)))&~((X29 @ X21)))&~((X30 @ X4)))&~((X30 @ X5)))&~((X30 @ X6)))&~((X30 @ X7)))&~((X30 @ X8)))&~((X30 @ X13)))&~((X30 @ X14)))&~((X30 @ X15)))&~((X30 @ X16)))&~((X30 @ X17)))&~((X30 @ X18)))&~((X30 @ X19)))&(X30 @ X20))&~((X30 @ X21)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X8 @ X4)|(X1 @ X8 @ X5)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X13 @ X4)|(X1 @ X13 @ X5)|(X1 @ X13 @ X6)|(X1 @ X13 @ X7)|(X1 @ X13 @ X8)|(X1 @ X14 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X6)|(X1 @ X14 @ X7)|(X1 @ X14 @ X8)|(X1 @ X14 @ X13)|(X1 @ X15 @ X4)|(X1 @ X15 @ X5)|(X1 @ X15 @ X6)|(X1 @ X15 @ X7)|(X1 @ X15 @ X8)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X16 @ X4)|(X1 @ X16 @ X5)|(X1 @ X16 @ X6)|(X1 @ X16 @ X7)|(X1 @ X16 @ X8)|(X1 @ X16 @ X13)|(X1 @ X16 @ X14)|(X1 @ X16 @ X15)|(X1 @ X17 @ X4)|(X1 @ X17 @ X5)|(X1 @ X17 @ X6)|(X1 @ X17 @ X7)|(X1 @ X17 @ X8)|(X1 @ X17 @ X13)|(X1 @ X17 @ X14)|(X1 @ X17 @ X15)|(X1 @ X17 @ X16)|(X1 @ X18 @ X4)|(X1 @ X18 @ X5)|(X1 @ X18 @ X6)|(X1 @ X18 @ X7)|(X1 @ X18 @ X8)|(X1 @ X18 @ X13)|(X1 @ X18 @ X14)|(X1 @ X18 @ X15)|(X1 @ X18 @ X16)|(X1 @ X18 @ X17)|(X1 @ X19 @ X4)|(X1 @ X19 @ X5)|(X1 @ X19 @ X6)|(X1 @ X19 @ X7)|(X1 @ X19 @ X8)|(X1 @ X19 @ X13)|(X1 @ X19 @ X14)|(X1 @ X19 @ X15)|(X1 @ X19 @ X16)|(X1 @ X19 @ X17)|(X1 @ X19 @ X18)|(X1 @ X20 @ X4)|(X1 @ X20 @ X5)|(X1 @ X20 @ X6)|(X1 @ X20 @ X7)|(X1 @ X20 @ X8)|(X1 @ X20 @ X13)|(X1 @ X20 @ X14)|(X1 @ X20 @ X15)|(X1 @ X20 @ X16)|(X1 @ X20 @ X17)|(X1 @ X20 @ X18)|(X1 @ X20 @ X19)|(X1 @ X21 @ X4)|(X1 @ X21 @ X5)|(X1 @ X21 @ X6)|(X1 @ X21 @ X7)|(X1 @ X21 @ X8)|(X1 @ X21 @ X13)|(X1 @ X21 @ X14)|(X1 @ X21 @ X15)|(X1 @ X21 @ X16)|(X1 @ X21 @ X17)|(X1 @ X21 @ X18)|(X1 @ X21 @ X19)|(X1 @ X21 @ X20)))))), file('/export/starexec/sandbox/tmp/tmp.O8tP6lwWMy/E---3.1_764653.p', ramsey_l_5_14_256a)).
% 8.32/1.77 thf(c_0_1, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)<=>![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$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) > $o, X21:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($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]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X9 @ X17)))&~((X9 @ X18)))&~((X9 @ X19)))&~((X9 @ X20)))&~((X9 @ X21)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X10 @ X13)))&~((X10 @ X14)))&~((X10 @ X15)))&~((X10 @ X16)))&~((X10 @ X17)))&~((X10 @ X18)))&~((X10 @ X19)))&~((X10 @ X20)))&~((X10 @ X21)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X11 @ X13)))&~((X11 @ X14)))&~((X11 @ X15)))&~((X11 @ X16)))&~((X11 @ X17)))&~((X11 @ X18)))&~((X11 @ X19)))&~((X11 @ X20)))&~((X11 @ X21)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))&~((X12 @ X13)))&~((X12 @ X14)))&~((X12 @ X15)))&~((X12 @ X16)))&~((X12 @ X17)))&~((X12 @ X18)))&~((X12 @ X19)))&~((X12 @ X20)))&~((X12 @ X21)))&~((X22 @ X4)))&~((X22 @ X5)))&~((X22 @ X6)))&~((X22 @ X7)))&(X22 @ X8))&~((X22 @ X13)))&~((X22 @ X14)))&~((X22 @ X15)))&~((X22 @ X16)))&~((X22 @ X17)))&~((X22 @ X18)))&~((X22 @ X19)))&~((X22 @ X20)))&~((X22 @ X21)))&~((X23 @ X4)))&~((X23 @ X5)))&~((X23 @ X6)))&~((X23 @ X7)))&~((X23 @ X8)))&(X23 @ X13))&~((X23 @ X14)))&~((X23 @ X15)))&~((X23 @ X16)))&~((X23 @ X17)))&~((X23 @ X18)))&~((X23 @ X19)))&~((X23 @ X20)))&~((X23 @ X21)))&~((X24 @ X4)))&~((X24 @ X5)))&~((X24 @ X6)))&~((X24 @ X7)))&~((X24 @ X8)))&~((X24 @ X13)))&(X24 @ X14))&~((X24 @ X15)))&~((X24 @ X16)))&~((X24 @ X17)))&~((X24 @ X18)))&~((X24 @ X19)))&~((X24 @ X20)))&~((X24 @ X21)))&~((X25 @ X4)))&~((X25 @ X5)))&~((X25 @ X6)))&~((X25 @ X7)))&~((X25 @ X8)))&~((X25 @ X13)))&~((X25 @ X14)))&(X25 @ X15))&~((X25 @ X16)))&~((X25 @ X17)))&~((X25 @ X18)))&~((X25 @ X19)))&~((X25 @ X20)))&~((X25 @ X21)))&~((X26 @ X4)))&~((X26 @ X5)))&~((X26 @ X6)))&~((X26 @ X7)))&~((X26 @ X8)))&~((X26 @ X13)))&~((X26 @ X14)))&~((X26 @ X15)))&(X26 @ X16))&~((X26 @ X17)))&~((X26 @ X18)))&~((X26 @ X19)))&~((X26 @ X20)))&~((X26 @ X21)))&~((X27 @ X4)))&~((X27 @ X5)))&~((X27 @ X6)))&~((X27 @ X7)))&~((X27 @ X8)))&~((X27 @ X13)))&~((X27 @ X14)))&~((X27 @ X15)))&~((X27 @ X16)))&(X27 @ X17))&~((X27 @ X18)))&~((X27 @ X19)))&~((X27 @ X20)))&~((X27 @ X21)))&~((X28 @ X4)))&~((X28 @ X5)))&~((X28 @ X6)))&~((X28 @ X7)))&~((X28 @ X8)))&~((X28 @ X13)))&~((X28 @ X14)))&~((X28 @ X15)))&~((X28 @ X16)))&~((X28 @ X17)))&(X28 @ X18))&~((X28 @ X19)))&~((X28 @ X20)))&~((X28 @ X21)))&~((X29 @ X4)))&~((X29 @ X5)))&~((X29 @ X6)))&~((X29 @ X7)))&~((X29 @ X8)))&~((X29 @ X13)))&~((X29 @ X14)))&~((X29 @ X15)))&~((X29 @ X16)))&~((X29 @ X17)))&~((X29 @ X18)))&(X29 @ X19))&~((X29 @ X20)))&~((X29 @ X21)))&~((X30 @ X4)))&~((X30 @ X5)))&~((X30 @ X6)))&~((X30 @ X7)))&~((X30 @ X8)))&~((X30 @ X13)))&~((X30 @ X14)))&~((X30 @ X15)))&~((X30 @ X16)))&~((X30 @ X17)))&~((X30 @ X18)))&~((X30 @ X19)))&(X30 @ X20))&~((X30 @ X21)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X8 @ X4)|(X1 @ X8 @ X5)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X13 @ X4)|(X1 @ X13 @ X5)|(X1 @ X13 @ X6)|(X1 @ X13 @ X7)|(X1 @ X13 @ X8)|(X1 @ X14 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X6)|(X1 @ X14 @ X7)|(X1 @ X14 @ X8)|(X1 @ X14 @ X13)|(X1 @ X15 @ X4)|(X1 @ X15 @ X5)|(X1 @ X15 @ X6)|(X1 @ X15 @ X7)|(X1 @ X15 @ X8)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X16 @ X4)|(X1 @ X16 @ X5)|(X1 @ X16 @ X6)|(X1 @ X16 @ X7)|(X1 @ X16 @ X8)|(X1 @ X16 @ X13)|(X1 @ X16 @ X14)|(X1 @ X16 @ X15)|(X1 @ X17 @ X4)|(X1 @ X17 @ X5)|(X1 @ X17 @ X6)|(X1 @ X17 @ X7)|(X1 @ X17 @ X8)|(X1 @ X17 @ X13)|(X1 @ X17 @ X14)|(X1 @ X17 @ X15)|(X1 @ X17 @ X16)|(X1 @ X18 @ X4)|(X1 @ X18 @ X5)|(X1 @ X18 @ X6)|(X1 @ X18 @ X7)|(X1 @ X18 @ X8)|(X1 @ X18 @ X13)|(X1 @ X18 @ X14)|(X1 @ X18 @ X15)|(X1 @ X18 @ X16)|(X1 @ X18 @ X17)|(X1 @ X19 @ X4)|(X1 @ X19 @ X5)|(X1 @ X19 @ X6)|(X1 @ X19 @ X7)|(X1 @ X19 @ X8)|(X1 @ X19 @ X13)|(X1 @ X19 @ X14)|(X1 @ X19 @ X15)|(X1 @ X19 @ X16)|(X1 @ X19 @ X17)|(X1 @ X19 @ X18)|(X1 @ X20 @ X4)|(X1 @ X20 @ X5)|(X1 @ X20 @ X6)|(X1 @ X20 @ X7)|(X1 @ X20 @ X8)|(X1 @ X20 @ X13)|(X1 @ X20 @ X14)|(X1 @ X20 @ X15)|(X1 @ X20 @ X16)|(X1 @ X20 @ X17)|(X1 @ X20 @ X18)|(X1 @ X20 @ X19)|(X1 @ X21 @ X4)|(X1 @ X21 @ X5)|(X1 @ X21 @ X6)|(X1 @ X21 @ X7)|(X1 @ X21 @ X8)|(X1 @ X21 @ X13)|(X1 @ X21 @ X14)|(X1 @ X21 @ X15)|(X1 @ X21 @ X16)|(X1 @ X21 @ X17)|(X1 @ X21 @ X18)|(X1 @ X21 @ X19)|(X1 @ X21 @ X20)))))), introduced(definition)).
% 8.32/1.77 thf(c_0_2, negated_conjecture, ~(?[X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o]:(((X1 @ X2 @ X3)=>(X1 @ X3 @ X2)))&![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6))|~((X1 @ X8 @ X4))|~((X1 @ X8 @ X5))|~((X1 @ X8 @ X6))|~((X1 @ X8 @ X7))))))&![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$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) > $o, X21:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($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]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X9 @ X17)))&~((X9 @ X18)))&~((X9 @ X19)))&~((X9 @ X20)))&~((X9 @ X21)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X10 @ X13)))&~((X10 @ X14)))&~((X10 @ X15)))&~((X10 @ X16)))&~((X10 @ X17)))&~((X10 @ X18)))&~((X10 @ X19)))&~((X10 @ X20)))&~((X10 @ X21)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X11 @ X13)))&~((X11 @ X14)))&~((X11 @ X15)))&~((X11 @ X16)))&~((X11 @ X17)))&~((X11 @ X18)))&~((X11 @ X19)))&~((X11 @ X20)))&~((X11 @ X21)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))&~((X12 @ X13)))&~((X12 @ X14)))&~((X12 @ X15)))&~((X12 @ X16)))&~((X12 @ X17)))&~((X12 @ X18)))&~((X12 @ X19)))&~((X12 @ X20)))&~((X12 @ X21)))&~((X22 @ X4)))&~((X22 @ X5)))&~((X22 @ X6)))&~((X22 @ X7)))&(X22 @ X8))&~((X22 @ X13)))&~((X22 @ X14)))&~((X22 @ X15)))&~((X22 @ X16)))&~((X22 @ X17)))&~((X22 @ X18)))&~((X22 @ X19)))&~((X22 @ X20)))&~((X22 @ X21)))&~((X23 @ X4)))&~((X23 @ X5)))&~((X23 @ X6)))&~((X23 @ X7)))&~((X23 @ X8)))&(X23 @ X13))&~((X23 @ X14)))&~((X23 @ X15)))&~((X23 @ X16)))&~((X23 @ X17)))&~((X23 @ X18)))&~((X23 @ X19)))&~((X23 @ X20)))&~((X23 @ X21)))&~((X24 @ X4)))&~((X24 @ X5)))&~((X24 @ X6)))&~((X24 @ X7)))&~((X24 @ X8)))&~((X24 @ X13)))&(X24 @ X14))&~((X24 @ X15)))&~((X24 @ X16)))&~((X24 @ X17)))&~((X24 @ X18)))&~((X24 @ X19)))&~((X24 @ X20)))&~((X24 @ X21)))&~((X25 @ X4)))&~((X25 @ X5)))&~((X25 @ X6)))&~((X25 @ X7)))&~((X25 @ X8)))&~((X25 @ X13)))&~((X25 @ X14)))&(X25 @ X15))&~((X25 @ X16)))&~((X25 @ X17)))&~((X25 @ X18)))&~((X25 @ X19)))&~((X25 @ X20)))&~((X25 @ X21)))&~((X26 @ X4)))&~((X26 @ X5)))&~((X26 @ X6)))&~((X26 @ X7)))&~((X26 @ X8)))&~((X26 @ X13)))&~((X26 @ X14)))&~((X26 @ X15)))&(X26 @ X16))&~((X26 @ X17)))&~((X26 @ X18)))&~((X26 @ X19)))&~((X26 @ X20)))&~((X26 @ X21)))&~((X27 @ X4)))&~((X27 @ X5)))&~((X27 @ X6)))&~((X27 @ X7)))&~((X27 @ X8)))&~((X27 @ X13)))&~((X27 @ X14)))&~((X27 @ X15)))&~((X27 @ X16)))&(X27 @ X17))&~((X27 @ X18)))&~((X27 @ X19)))&~((X27 @ X20)))&~((X27 @ X21)))&~((X28 @ X4)))&~((X28 @ X5)))&~((X28 @ X6)))&~((X28 @ X7)))&~((X28 @ X8)))&~((X28 @ X13)))&~((X28 @ X14)))&~((X28 @ X15)))&~((X28 @ X16)))&~((X28 @ X17)))&(X28 @ X18))&~((X28 @ X19)))&~((X28 @ X20)))&~((X28 @ X21)))&~((X29 @ X4)))&~((X29 @ X5)))&~((X29 @ X6)))&~((X29 @ X7)))&~((X29 @ X8)))&~((X29 @ X13)))&~((X29 @ X14)))&~((X29 @ X15)))&~((X29 @ X16)))&~((X29 @ X17)))&~((X29 @ X18)))&(X29 @ X19))&~((X29 @ X20)))&~((X29 @ X21)))&~((X30 @ X4)))&~((X30 @ X5)))&~((X30 @ X6)))&~((X30 @ X7)))&~((X30 @ X8)))&~((X30 @ X13)))&~((X30 @ X14)))&~((X30 @ X15)))&~((X30 @ X16)))&~((X30 @ X17)))&~((X30 @ X18)))&~((X30 @ X19)))&(X30 @ X20))&~((X30 @ X21)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X8 @ X4)|(X1 @ X8 @ X5)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X13 @ X4)|(X1 @ X13 @ X5)|(X1 @ X13 @ X6)|(X1 @ X13 @ X7)|(X1 @ X13 @ X8)|(X1 @ X14 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X6)|(X1 @ X14 @ X7)|(X1 @ X14 @ X8)|(X1 @ X14 @ X13)|(X1 @ X15 @ X4)|(X1 @ X15 @ X5)|(X1 @ X15 @ X6)|(X1 @ X15 @ X7)|(X1 @ X15 @ X8)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X16 @ X4)|(X1 @ X16 @ X5)|(X1 @ X16 @ X6)|(X1 @ X16 @ X7)|(X1 @ X16 @ X8)|(X1 @ X16 @ X13)|(X1 @ X16 @ X14)|(X1 @ X16 @ X15)|(X1 @ X17 @ X4)|(X1 @ X17 @ X5)|(X1 @ X17 @ X6)|(X1 @ X17 @ X7)|(X1 @ X17 @ X8)|(X1 @ X17 @ X13)|(X1 @ X17 @ X14)|(X1 @ X17 @ X15)|(X1 @ X17 @ X16)|(X1 @ X18 @ X4)|(X1 @ X18 @ X5)|(X1 @ X18 @ X6)|(X1 @ X18 @ X7)|(X1 @ X18 @ X8)|(X1 @ X18 @ X13)|(X1 @ X18 @ X14)|(X1 @ X18 @ X15)|(X1 @ X18 @ X16)|(X1 @ X18 @ X17)|(X1 @ X19 @ X4)|(X1 @ X19 @ X5)|(X1 @ X19 @ X6)|(X1 @ X19 @ X7)|(X1 @ X19 @ X8)|(X1 @ X19 @ X13)|(X1 @ X19 @ X14)|(X1 @ X19 @ X15)|(X1 @ X19 @ X16)|(X1 @ X19 @ X17)|(X1 @ X19 @ X18)|(X1 @ X20 @ X4)|(X1 @ X20 @ X5)|(X1 @ X20 @ X6)|(X1 @ X20 @ X7)|(X1 @ X20 @ X8)|(X1 @ X20 @ X13)|(X1 @ X20 @ X14)|(X1 @ X20 @ X15)|(X1 @ X20 @ X16)|(X1 @ X20 @ X17)|(X1 @ X20 @ X18)|(X1 @ X20 @ X19)|(X1 @ X21 @ X4)|(X1 @ X21 @ X5)|(X1 @ X21 @ X6)|(X1 @ X21 @ X7)|(X1 @ X21 @ X8)|(X1 @ X21 @ X13)|(X1 @ X21 @ X14)|(X1 @ X21 @ X15)|(X1 @ X21 @ X16)|(X1 @ X21 @ X17)|(X1 @ X21 @ X18)|(X1 @ X21 @ X19)|(X1 @ X21 @ X20))))))), inference(assume_negation,[status(cth)],[ramsey_l_5_14_256a])).
% 8.32/1.77 thf(c_0_3, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred1_1 @ X1)<=>![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6))|~((X1 @ X8 @ X4))|~((X1 @ X8 @ X5))|~((X1 @ X8 @ X6))|~((X1 @ X8 @ X7))))))), introduced(definition)).
% 8.32/1.77 thf(c_0_4, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$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) > $o, X21:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($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]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X9 @ X17)))&~((X9 @ X18)))&~((X9 @ X19)))&~((X9 @ X20)))&~((X9 @ X21)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X10 @ X13)))&~((X10 @ X14)))&~((X10 @ X15)))&~((X10 @ X16)))&~((X10 @ X17)))&~((X10 @ X18)))&~((X10 @ X19)))&~((X10 @ X20)))&~((X10 @ X21)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X11 @ X13)))&~((X11 @ X14)))&~((X11 @ X15)))&~((X11 @ X16)))&~((X11 @ X17)))&~((X11 @ X18)))&~((X11 @ X19)))&~((X11 @ X20)))&~((X11 @ X21)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))&~((X12 @ X13)))&~((X12 @ X14)))&~((X12 @ X15)))&~((X12 @ X16)))&~((X12 @ X17)))&~((X12 @ X18)))&~((X12 @ X19)))&~((X12 @ X20)))&~((X12 @ X21)))&~((X22 @ X4)))&~((X22 @ X5)))&~((X22 @ X6)))&~((X22 @ X7)))&(X22 @ X8))&~((X22 @ X13)))&~((X22 @ X14)))&~((X22 @ X15)))&~((X22 @ X16)))&~((X22 @ X17)))&~((X22 @ X18)))&~((X22 @ X19)))&~((X22 @ X20)))&~((X22 @ X21)))&~((X23 @ X4)))&~((X23 @ X5)))&~((X23 @ X6)))&~((X23 @ X7)))&~((X23 @ X8)))&(X23 @ X13))&~((X23 @ X14)))&~((X23 @ X15)))&~((X23 @ X16)))&~((X23 @ X17)))&~((X23 @ X18)))&~((X23 @ X19)))&~((X23 @ X20)))&~((X23 @ X21)))&~((X24 @ X4)))&~((X24 @ X5)))&~((X24 @ X6)))&~((X24 @ X7)))&~((X24 @ X8)))&~((X24 @ X13)))&(X24 @ X14))&~((X24 @ X15)))&~((X24 @ X16)))&~((X24 @ X17)))&~((X24 @ X18)))&~((X24 @ X19)))&~((X24 @ X20)))&~((X24 @ X21)))&~((X25 @ X4)))&~((X25 @ X5)))&~((X25 @ X6)))&~((X25 @ X7)))&~((X25 @ X8)))&~((X25 @ X13)))&~((X25 @ X14)))&(X25 @ X15))&~((X25 @ X16)))&~((X25 @ X17)))&~((X25 @ X18)))&~((X25 @ X19)))&~((X25 @ X20)))&~((X25 @ X21)))&~((X26 @ X4)))&~((X26 @ X5)))&~((X26 @ X6)))&~((X26 @ X7)))&~((X26 @ X8)))&~((X26 @ X13)))&~((X26 @ X14)))&~((X26 @ X15)))&(X26 @ X16))&~((X26 @ X17)))&~((X26 @ X18)))&~((X26 @ X19)))&~((X26 @ X20)))&~((X26 @ X21)))&~((X27 @ X4)))&~((X27 @ X5)))&~((X27 @ X6)))&~((X27 @ X7)))&~((X27 @ X8)))&~((X27 @ X13)))&~((X27 @ X14)))&~((X27 @ X15)))&~((X27 @ X16)))&(X27 @ X17))&~((X27 @ X18)))&~((X27 @ X19)))&~((X27 @ X20)))&~((X27 @ X21)))&~((X28 @ X4)))&~((X28 @ X5)))&~((X28 @ X6)))&~((X28 @ X7)))&~((X28 @ X8)))&~((X28 @ X13)))&~((X28 @ X14)))&~((X28 @ X15)))&~((X28 @ X16)))&~((X28 @ X17)))&(X28 @ X18))&~((X28 @ X19)))&~((X28 @ X20)))&~((X28 @ X21)))&~((X29 @ X4)))&~((X29 @ X5)))&~((X29 @ X6)))&~((X29 @ X7)))&~((X29 @ X8)))&~((X29 @ X13)))&~((X29 @ X14)))&~((X29 @ X15)))&~((X29 @ X16)))&~((X29 @ X17)))&~((X29 @ X18)))&(X29 @ X19))&~((X29 @ X20)))&~((X29 @ X21)))&~((X30 @ X4)))&~((X30 @ X5)))&~((X30 @ X6)))&~((X30 @ X7)))&~((X30 @ X8)))&~((X30 @ X13)))&~((X30 @ X14)))&~((X30 @ X15)))&~((X30 @ X16)))&~((X30 @ X17)))&~((X30 @ X18)))&~((X30 @ X19)))&(X30 @ X20))&~((X30 @ X21)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X8 @ X4)|(X1 @ X8 @ X5)|(X1 @ X8 @ X6)|(X1 @ X8 @ X7)|(X1 @ X13 @ X4)|(X1 @ X13 @ X5)|(X1 @ X13 @ X6)|(X1 @ X13 @ X7)|(X1 @ X13 @ X8)|(X1 @ X14 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X6)|(X1 @ X14 @ X7)|(X1 @ X14 @ X8)|(X1 @ X14 @ X13)|(X1 @ X15 @ X4)|(X1 @ X15 @ X5)|(X1 @ X15 @ X6)|(X1 @ X15 @ X7)|(X1 @ X15 @ X8)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X16 @ X4)|(X1 @ X16 @ X5)|(X1 @ X16 @ X6)|(X1 @ X16 @ X7)|(X1 @ X16 @ X8)|(X1 @ X16 @ X13)|(X1 @ X16 @ X14)|(X1 @ X16 @ X15)|(X1 @ X17 @ X4)|(X1 @ X17 @ X5)|(X1 @ X17 @ X6)|(X1 @ X17 @ X7)|(X1 @ X17 @ X8)|(X1 @ X17 @ X13)|(X1 @ X17 @ X14)|(X1 @ X17 @ X15)|(X1 @ X17 @ X16)|(X1 @ X18 @ X4)|(X1 @ X18 @ X5)|(X1 @ X18 @ X6)|(X1 @ X18 @ X7)|(X1 @ X18 @ X8)|(X1 @ X18 @ X13)|(X1 @ X18 @ X14)|(X1 @ X18 @ X15)|(X1 @ X18 @ X16)|(X1 @ X18 @ X17)|(X1 @ X19 @ X4)|(X1 @ X19 @ X5)|(X1 @ X19 @ X6)|(X1 @ X19 @ X7)|(X1 @ X19 @ X8)|(X1 @ X19 @ X13)|(X1 @ X19 @ X14)|(X1 @ X19 @ X15)|(X1 @ X19 @ X16)|(X1 @ X19 @ X17)|(X1 @ X19 @ X18)|(X1 @ X20 @ X4)|(X1 @ X20 @ X5)|(X1 @ X20 @ X6)|(X1 @ X20 @ X7)|(X1 @ X20 @ X8)|(X1 @ X20 @ X13)|(X1 @ X20 @ X14)|(X1 @ X20 @ X15)|(X1 @ X20 @ X16)|(X1 @ X20 @ X17)|(X1 @ X20 @ X18)|(X1 @ X20 @ X19)|(X1 @ X21 @ X4)|(X1 @ X21 @ X5)|(X1 @ X21 @ X6)|(X1 @ X21 @ X7)|(X1 @ X21 @ X8)|(X1 @ X21 @ X13)|(X1 @ X21 @ X14)|(X1 @ X21 @ X15)|(X1 @ X21 @ X16)|(X1 @ X21 @ X17)|(X1 @ X21 @ X18)|(X1 @ X21 @ X19)|(X1 @ X21 @ X20))))=>(epred2_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_1])).
% 8.32/1.77 thf(c_0_5, negated_conjecture, ~(?[X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((![X2:$o > ($o > $o) > $o, X3:$o > ($o > $o) > $o]:(((X1 @ X2 @ X3)=>(X1 @ X3 @ X2)))&(epred1_1 @ X1))&(epred2_1 @ X1)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_2, c_0_3]), c_0_1])).
% 8.32/1.77 thf(c_0_6, plain, ![X83:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((epred28_1 @ X83 @ (epred14_1 @ X83))|(epred2_1 @ X83))&(~(epred28_1 @ X83 @ (epred15_1 @ X83))|(epred2_1 @ X83)))&(~(epred28_1 @ X83 @ (epred16_1 @ X83))|(epred2_1 @ X83)))&(~(epred28_1 @ X83 @ (epred17_1 @ X83))|(epred2_1 @ X83)))&(~(epred28_1 @ X83 @ (epred18_1 @ X83))|(epred2_1 @ X83)))&(~(epred28_1 @ X83 @ (epred19_1 @ X83))|(epred2_1 @ X83)))&(~(epred28_1 @ X83 @ (epred20_1 @ X83))|(epred2_1 @ X83)))&(~(epred28_1 @ X83 @ (epred21_1 @ X83))|(epred2_1 @ X83)))&(~(epred28_1 @ X83 @ (epred22_1 @ X83))|(epred2_1 @ X83)))&(~(epred28_1 @ X83 @ (epred23_1 @ X83))|(epred2_1 @ X83)))&(~(epred28_1 @ X83 @ (epred24_1 @ X83))|(epred2_1 @ X83)))&(~(epred28_1 @ X83 @ (epred25_1 @ X83))|(epred2_1 @ X83)))&(~(epred28_1 @ X83 @ (epred26_1 @ X83))|(epred2_1 @ X83)))&(~(epred28_1 @ X83 @ (epred27_1 @ X83))|(epred2_1 @ X83)))&(~(epred29_1 @ X83 @ (epred14_1 @ X83))|(epred2_1 @ X83)))&((epred29_1 @ X83 @ (epred15_1 @ X83))|(epred2_1 @ X83)))&(~(epred29_1 @ X83 @ (epred16_1 @ X83))|(epred2_1 @ X83)))&(~(epred29_1 @ X83 @ (epred17_1 @ X83))|(epred2_1 @ X83)))&(~(epred29_1 @ X83 @ (epred18_1 @ X83))|(epred2_1 @ X83)))&(~(epred29_1 @ X83 @ (epred19_1 @ X83))|(epred2_1 @ X83)))&(~(epred29_1 @ X83 @ (epred20_1 @ X83))|(epred2_1 @ X83)))&(~(epred29_1 @ X83 @ (epred21_1 @ X83))|(epred2_1 @ X83)))&(~(epred29_1 @ X83 @ (epred22_1 @ X83))|(epred2_1 @ X83)))&(~(epred29_1 @ X83 @ (epred23_1 @ X83))|(epred2_1 @ X83)))&(~(epred29_1 @ X83 @ (epred24_1 @ X83))|(epred2_1 @ X83)))&(~(epred29_1 @ X83 @ (epred25_1 @ X83))|(epred2_1 @ X83)))&(~(epred29_1 @ X83 @ (epred26_1 @ X83))|(epred2_1 @ X83)))&(~(epred29_1 @ X83 @ (epred27_1 @ X83))|(epred2_1 @ X83)))&(~(epred30_1 @ X83 @ (epred14_1 @ X83))|(epred2_1 @ X83)))&(~(epred30_1 @ X83 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X83)))&(~(X83 @ (epred19_1 @ X83) @ (epred17_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred19_1 @ X83) @ (epred18_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred20_1 @ X83) @ (epred14_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred20_1 @ X83) @ (epred15_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred20_1 @ X83) @ (epred16_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred20_1 @ X83) @ (epred17_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred20_1 @ X83) @ (epred18_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred20_1 @ X83) @ (epred19_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred21_1 @ X83) @ (epred14_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred21_1 @ X83) @ (epred15_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred21_1 @ X83) @ (epred16_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred21_1 @ X83) @ (epred17_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred21_1 @ X83) @ (epred18_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred21_1 @ X83) @ (epred19_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred21_1 @ X83) @ (epred20_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred22_1 @ X83) @ (epred14_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred22_1 @ X83) @ (epred15_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred22_1 @ X83) @ (epred16_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred22_1 @ X83) @ (epred17_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred22_1 @ X83) @ (epred18_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred22_1 @ X83) @ (epred19_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred22_1 @ X83) @ (epred20_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred22_1 @ X83) @ (epred21_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred23_1 @ X83) @ (epred14_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred23_1 @ X83) @ (epred15_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred23_1 @ X83) @ (epred16_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred23_1 @ X83) @ (epred17_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred23_1 @ X83) @ (epred18_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred23_1 @ X83) @ (epred19_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred23_1 @ X83) @ (epred20_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred23_1 @ X83) @ (epred21_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred23_1 @ X83) @ (epred22_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred24_1 @ X83) @ (epred14_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred24_1 @ X83) @ (epred15_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred24_1 @ X83) @ (epred16_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred24_1 @ X83) @ (epred17_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred24_1 @ X83) @ (epred18_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred24_1 @ X83) @ (epred19_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred24_1 @ X83) @ (epred20_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred24_1 @ X83) @ (epred21_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred24_1 @ X83) @ (epred22_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred24_1 @ X83) @ (epred23_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred25_1 @ X83) @ (epred14_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred25_1 @ X83) @ (epred15_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred25_1 @ X83) @ (epred16_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred25_1 @ X83) @ (epred17_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred25_1 @ X83) @ (epred18_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred25_1 @ X83) @ (epred19_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred25_1 @ X83) @ (epred20_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred25_1 @ X83) @ (epred21_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred25_1 @ X83) @ (epred22_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred25_1 @ X83) @ (epred23_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred25_1 @ X83) @ (epred24_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred26_1 @ X83) @ (epred14_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred26_1 @ X83) @ (epred15_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred26_1 @ X83) @ (epred16_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred26_1 @ X83) @ (epred17_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred26_1 @ X83) @ (epred18_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred26_1 @ X83) @ (epred19_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred26_1 @ X83) @ (epred20_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred26_1 @ X83) @ (epred21_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred26_1 @ X83) @ (epred22_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred26_1 @ X83) @ (epred23_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred26_1 @ X83) @ (epred24_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred26_1 @ X83) @ (epred25_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred27_1 @ X83) @ (epred14_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred27_1 @ X83) @ (epred15_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred27_1 @ X83) @ (epred16_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred27_1 @ X83) @ (epred17_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred27_1 @ X83) @ (epred18_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred27_1 @ X83) @ (epred19_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred27_1 @ X83) @ (epred20_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred27_1 @ X83) @ (epred21_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred27_1 @ X83) @ (epred22_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred27_1 @ X83) @ (epred23_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred27_1 @ X83) @ (epred24_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred27_1 @ X83) @ (epred25_1 @ X83))|(epred2_1 @ X83)))&(~(X83 @ (epred27_1 @ X83) @ (epred26_1 @ X83))|(epred2_1 @ X83))))), 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_4])])])])])])).
% 8.32/1.77 thf(c_0_7, negated_conjecture, ![X70:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((((X70 @ (epred3_1 @ X70) @ (epred4_1 @ X70))|~(epred1_1 @ X70)|~(epred2_1 @ X70))&(~(X70 @ (epred4_1 @ X70) @ (epred3_1 @ X70))|~(epred1_1 @ X70)|~(epred2_1 @ X70)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])).
% 8.32/1.77 thf(c_0_8, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)|~((epred28_1 @ X1 @ (epred15_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 8.32/1.77 thf(c_0_9, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred28_1 @ X1 @ (epred14_1 @ X1))|(epred2_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 8.32/1.77 thf(c_0_10, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)|~((X1 @ (epred15_1 @ X1) @ (epred14_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 8.32/1.77 thf(c_0_11, negated_conjecture, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((~((X1 @ (epred4_1 @ X1) @ (epred3_1 @ X1)))|~((epred1_1 @ X1))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.32/1.77 thf(c_0_12, plain, ![X1:($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_8, c_0_9])])).
% 8.32/1.77 thf(c_0_13, plain, (((epred15_1 @ $neq)=(epred14_1 @ $neq))|(epred2_1 @ $neq)), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_10])).
% 8.32/1.77 thf(c_0_14, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$o > ($o > $o) > $o, X8:$o > ($o > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X11:($o > ($o > $o) > $o) > $o, X12:($o > ($o > $o) > $o) > $o]:((((((((((((((((((((((X9 @ X4)&~((X9 @ X5)))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X8)))&~((X10 @ X4)))&(X10 @ X5))&~((X10 @ X6)))&~((X10 @ X7)))&~((X10 @ X8)))&~((X11 @ X4)))&~((X11 @ X5)))&(X11 @ X6))&~((X11 @ X7)))&~((X11 @ X8)))&~((X12 @ X4)))&~((X12 @ X5)))&~((X12 @ X6)))&(X12 @ X7))&~((X12 @ X8)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6))|~((X1 @ X8 @ X4))|~((X1 @ X8 @ X5))|~((X1 @ X8 @ X6))|~((X1 @ X8 @ X7)))))=>(epred1_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_3])).
% 8.32/1.77 thf(c_0_15, 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_11])).
% 8.32/1.77 thf(c_0_16, plain, (epred2_1 @ $neq), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 8.32/1.77 thf(c_0_17, plain, ![X73:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((((((((((((((((((((((epred10_1 @ X73 @ (epred5_1 @ X73))|(epred1_1 @ X73))&(~(epred10_1 @ X73 @ (epred6_1 @ X73))|(epred1_1 @ X73)))&(~(epred10_1 @ X73 @ (epred7_1 @ X73))|(epred1_1 @ X73)))&(~(epred10_1 @ X73 @ (epred8_1 @ X73))|(epred1_1 @ X73)))&(~(epred10_1 @ X73 @ (epred9_1 @ X73))|(epred1_1 @ X73)))&(~(epred11_1 @ X73 @ (epred5_1 @ X73))|(epred1_1 @ X73)))&((epred11_1 @ X73 @ (epred6_1 @ X73))|(epred1_1 @ X73)))&(~(epred11_1 @ X73 @ (epred7_1 @ X73))|(epred1_1 @ X73)))&(~(epred11_1 @ X73 @ (epred8_1 @ X73))|(epred1_1 @ X73)))&(~(epred11_1 @ X73 @ (epred9_1 @ X73))|(epred1_1 @ X73)))&(~(epred12_1 @ X73 @ (epred5_1 @ X73))|(epred1_1 @ X73)))&(~(epred12_1 @ X73 @ (epred6_1 @ X73))|(epred1_1 @ X73)))&((epred12_1 @ X73 @ (epred7_1 @ X73))|(epred1_1 @ X73)))&(~(epred12_1 @ X73 @ (epred8_1 @ X73))|(epred1_1 @ X73)))&(~(epred12_1 @ X73 @ (epred9_1 @ X73))|(epred1_1 @ X73)))&(~(epred13_1 @ X73 @ (epred5_1 @ X73))|(epred1_1 @ X73)))&(~(epred13_1 @ X73 @ (epred6_1 @ X73))|(epred1_1 @ X73)))&(~(epred13_1 @ X73 @ (epred7_1 @ X73))|(epred1_1 @ X73)))&((epred13_1 @ X73 @ (epred8_1 @ X73))|(epred1_1 @ X73)))&(~(epred13_1 @ X73 @ (epred9_1 @ X73))|(epred1_1 @ X73)))&(((((((((((X73 @ (epred6_1 @ X73) @ (epred5_1 @ X73))|(epred1_1 @ X73))&((X73 @ (epred7_1 @ X73) @ (epred5_1 @ X73))|(epred1_1 @ X73)))&((X73 @ (epred7_1 @ X73) @ (epred6_1 @ X73))|(epred1_1 @ X73)))&((X73 @ (epred8_1 @ X73) @ (epred5_1 @ X73))|(epred1_1 @ X73)))&((X73 @ (epred8_1 @ X73) @ (epred6_1 @ X73))|(epred1_1 @ X73)))&((X73 @ (epred8_1 @ X73) @ (epred7_1 @ X73))|(epred1_1 @ X73)))&((X73 @ (epred9_1 @ X73) @ (epred5_1 @ X73))|(epred1_1 @ X73)))&((X73 @ (epred9_1 @ X73) @ (epred6_1 @ X73))|(epred1_1 @ X73)))&((X73 @ (epred9_1 @ X73) @ (epred7_1 @ X73))|(epred1_1 @ X73)))&((X73 @ (epred9_1 @ X73) @ (epred8_1 @ X73))|(epred1_1 @ X73))))), 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_14])])])])])).
% 8.32/1.77 thf(c_0_18, 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_7])).
% 8.32/1.77 thf(c_0_19, negated_conjecture, (((epred4_1 @ $neq)=(epred3_1 @ $neq))|~((epred1_1 @ $neq))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 8.32/1.77 thf(c_0_20, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((X1 @ (epred9_1 @ X1) @ (epred5_1 @ X1))|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_17])).
% 8.32/1.77 thf(c_0_21, negated_conjecture, ~((epred1_1 @ $neq)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_18]), c_0_16])]), c_0_19])).
% 8.32/1.77 thf(c_0_22, plain, ((epred9_1 @ $neq)!=(epred5_1 @ $neq)), inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_20]), c_0_21])).
% 8.32/1.77 thf(c_0_23, plain, ((epred9_1 @ $neq @ ((esk529_0)) @ esk530_1)<~>(epred5_1 @ $neq @ ((esk529_0)) @ esk530_1)), inference(neg_ext,[status(thm)],[c_0_22])).
% 8.32/1.77 thf(c_0_24, plain, (epred710_0), inference(dynamic_cnf,[status(thm)],[c_0_23])).
% 8.32/1.77 thf(c_0_25, plain, (epred711_0), inference(dynamic_cnf,[status(thm)],[c_0_23])).
% 8.32/1.77 thf(c_0_26, plain, ($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']).
% 8.32/1.77 % SZS output end CNFRefutation
% 8.32/1.77 % Parsed axioms : 1
% 8.32/1.77 % Removed by relevancy pruning/SinE : 0
% 8.32/1.77 % Initial clauses : 305
% 8.32/1.77 % Removed in clause preprocessing : 0
% 8.32/1.77 % Initial clauses in saturation : 305
% 8.32/1.77 % Processed clauses : 1170
% 8.32/1.77 % ...of these trivial : 93
% 8.32/1.77 % ...subsumed : 166
% 8.32/1.77 % ...remaining for further processing : 910
% 8.32/1.77 % Other redundant clauses eliminated : 185
% 8.32/1.77 % Clauses deleted for lack of memory : 0
% 8.32/1.77 % Backward-subsumed : 8
% 8.32/1.77 % Backward-rewritten : 7
% 8.32/1.77 % Generated clauses : 2005
% 8.32/1.77 % ...of the previous two non-redundant : 1572
% 8.32/1.77 % ...aggressively subsumed : 0
% 8.32/1.77 % Contextual simplify-reflections : 2
% 8.32/1.77 % Paramodulations : 70
% 8.32/1.77 % Factorizations : 0
% 8.32/1.77 % NegExts : 669
% 8.32/1.77 % Equation resolutions : 185
% 8.32/1.77 % Disequality decompositions : 0
% 8.32/1.77 % Total rewrite steps : 201
% 8.32/1.77 % ...of those cached : 193
% 8.32/1.77 % Propositional unsat checks : 0
% 8.32/1.77 % Propositional check models : 0
% 8.32/1.77 % Propositional check unsatisfiable : 0
% 8.32/1.77 % Propositional clauses : 0
% 8.32/1.77 % Propositional clauses after purity: 0
% 8.32/1.77 % Propositional unsat core size : 0
% 8.32/1.77 % Propositional preprocessing time : 0.000
% 8.32/1.77 % Propositional encoding time : 0.000
% 8.32/1.77 % Propositional solver time : 0.000
% 8.32/1.77 % Success case prop preproc time : 0.000
% 8.32/1.77 % Success case prop encoding time : 0.000
% 8.32/1.77 % Success case prop solver time : 0.000
% 8.32/1.77 % Current number of processed clauses : 581
% 8.32/1.77 % Positive orientable unit clauses : 8
% 8.32/1.77 % Positive unorientable unit clauses: 0
% 8.32/1.77 % Negative unit clauses : 101
% 8.32/1.77 % Non-unit-clauses : 472
% 8.32/1.77 % Current number of unprocessed clauses: 994
% 8.32/1.77 % ...number of literals in the above : 2362
% 8.32/1.77 % Current number of archived formulas : 0
% 8.32/1.77 % Current number of archived clauses : 329
% 8.32/1.77 % Clause-clause subsumption calls (NU) : 20028
% 8.32/1.77 % Rec. Clause-clause subsumption calls : 17974
% 8.32/1.77 % Non-unit clause-clause subsumptions : 114
% 8.32/1.77 % Unit Clause-clause subsumption calls : 2575
% 8.32/1.77 % Rewrite failures with RHS unbound : 0
% 8.32/1.77 % BW rewrite match attempts : 2
% 8.32/1.77 % BW rewrite match successes : 2
% 8.32/1.77 % Condensation attempts : 0
% 8.32/1.77 % Condensation successes : 0
% 8.32/1.77 % Termbank termtop insertions : 131555
% 8.32/1.77 % Search garbage collected termcells : 6784
% 8.32/1.77
% 8.32/1.77 % -------------------------------------------------
% 8.32/1.77 % User time : 2.441 s
% 8.32/1.77 % System time : 0.108 s
% 8.32/1.77 % Total time : 2.549 s
% 8.32/1.77 % Maximum resident set size: 5328 pages
% 8.32/1.77
% 8.32/1.77 % -------------------------------------------------
% 8.32/1.77 % User time : 2.453 s
% 8.32/1.77 % System time : 0.116 s
% 8.32/1.77 % Total time : 2.570 s
% 8.32/1.77 % Maximum resident set size: 5120 pages
% 8.32/1.77 % E exiting
%------------------------------------------------------------------------------