%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRA063^2 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 07:49:56 AM UTC 2026
% Result : Theorem 4.45s 0.99s
% Output : CNFRefutation 4.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA063^2 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n008.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 18:50:39 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.sMUWUpWfGd/E---3.1_3571252.p
% 4.45/0.99 % Version: 3.5.1-ho
% 4.45/0.99 % Preprocessing class: HSLSSMSSSSSNHHA.
% 4.45/0.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.45/0.99 % Starting new_ho_10 with 600s (2) cores
% 4.45/0.99 % Starting sh3 with 600s (2) cores
% 4.45/0.99 % Starting ho_unfolding_3 with 600s (2) cores
% 4.45/0.99 % Starting new_ho_10_cnf2 with 600s (2) cores
% 4.45/0.99 % ho_unfolding_3 with pid 3571267 completed with status 0
% 4.45/0.99 % Result found by ho_unfolding_3
% 4.45/0.99 % Preprocessing class: HSLSSMSSSSSNHHA.
% 4.45/0.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.45/0.99 % Starting new_ho_10 with 600s (2) cores
% 4.45/0.99 % Starting sh3 with 600s (2) cores
% 4.45/0.99 % Starting ho_unfolding_3 with 600s (2) cores
% 4.45/0.99 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.45/0.99 % No SInE strategy applied
% 4.45/0.99 % Search class: HGHNF-FSLF00-SHHFFSBN
% 4.45/0.99 % Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 4.45/0.99 % Starting SubtermCWHack with 61s (1) cores
% 4.45/0.99 % Starting new_ho_10 with 121s (1) cores
% 4.45/0.99 % SubtermCWHack with pid 3571272 completed with status 10
% 4.45/0.99 % Starting sh3 with 121s (1) cores
% 4.45/0.99 % new_ho_10 with pid 3571275 completed with status 10
% 4.45/0.99 % Starting ho_unfolding_3 with 121s (1) cores
% 4.45/0.99 % sh3 with pid 3571277 completed with status 10
% 4.45/0.99 % Starting new_ho_10_cnf2 with 121s (1) cores
% 4.45/0.99 % new_ho_10_cnf2 with pid 3571285 completed with status 10
% 4.45/0.99 % Starting pre_casc_2 with 55s (1) cores
% 4.45/0.99 % ho_unfolding_3 with pid 3571282 completed with status 10
% 4.45/0.99 % pre_casc_2 with pid 3571286 completed with status 10
% 4.45/0.99 % Schedule exhausted
% 4.45/0.99
% 4.45/0.99 % -------------------------------------------------
% 4.45/0.99 % User time : 1.027 s
% 4.45/0.99 % System time : 0.038 s
% 4.45/0.99 % Total time : 1.065 s
% 4.45/0.99 % Maximum resident set size: 4788 pages
% 4.45/0.99 % executing default schedule for 598.935 seconds.
% 4.45/0.99 % Scheduled 7 strats onto 2 cores with 598 seconds (591 total)
% 4.45/0.99 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 86s (1) cores
% 4.45/0.99 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 86s (1) cores
% 4.45/0.99 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3571294 completed with status 10
% 4.45/0.99 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 86s (1) cores
% 4.45/0.99 % G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 3571295 completed with status 10
% 4.45/0.99 % Starting lpo1_def_fix with 86s (1) cores
% 4.45/0.99 % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3571293 completed with status 10
% 4.45/0.99 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 86s (1) cores
% 4.45/0.99 % G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 3571297 completed with status 10
% 4.45/0.99 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 86s (1) cores
% 4.45/0.99 % H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 3571298 completed with status 10
% 4.45/0.99 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with 75s (1) cores
% 4.45/0.99 % G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 3571299 completed with status 10
% 4.45/0.99 % lpo1_def_fix with pid 3571296 completed with status 0
% 4.45/0.99 % Result found by lpo1_def_fix
% 4.45/0.99 % Preprocessing class: HSLSSMSSSSSNHHA.
% 4.45/0.99 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.45/0.99 % Starting new_ho_10 with 600s (2) cores
% 4.45/0.99 % Starting sh3 with 600s (2) cores
% 4.45/0.99 % Starting ho_unfolding_3 with 600s (2) cores
% 4.45/0.99 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.45/0.99 % No SInE strategy applied
% 4.45/0.99 % Search class: HGHNF-FSLF00-SHHFFSBN
% 4.45/0.99 % Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 4.45/0.99 % Starting SubtermCWHack with 61s (1) cores
% 4.45/0.99 % Starting new_ho_10 with 121s (1) cores
% 4.45/0.99 % SubtermCWHack with pid 3571272 completed with status 10
% 4.45/0.99 % Starting sh3 with 121s (1) cores
% 4.45/0.99 % new_ho_10 with pid 3571275 completed with status 10
% 4.45/0.99 % Starting ho_unfolding_3 with 121s (1) cores
% 4.45/0.99 % sh3 with pid 3571277 completed with status 10
% 4.45/0.99 % Starting new_ho_10_cnf2 with 121s (1) cores
% 4.45/0.99 % new_ho_10_cnf2 with pid 3571285 completed with status 10
% 4.45/0.99 % Starting pre_casc_2 with 55s (1) cores
% 4.45/0.99 % ho_unfolding_3 with pid 3571282 completed with status 10
% 4.45/0.99 % pre_casc_2 with pid 3571286 completed with status 10
% 4.45/0.99 % Schedule exhausted
% 4.45/0.99
% 4.45/0.99 % -------------------------------------------------
% 4.45/0.99 % User time : 1.027 s
% 4.45/0.99 % System time : 0.038 s
% 4.45/0.99 % Total time : 1.065 s
% 4.45/0.99 % Maximum resident set size: 4788 pages
% 4.45/0.99 % executing default schedule for 598.935 seconds.
% 4.45/0.99 % Scheduled 7 strats onto 2 cores with 598 seconds (591 total)
% 4.45/0.99 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 86s (1) cores
% 4.45/0.99 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 86s (1) cores
% 4.45/0.99 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3571294 completed with status 10
% 4.45/0.99 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 86s (1) cores
% 4.45/0.99 % G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 3571295 completed with status 10
% 4.45/0.99 % Starting lpo1_def_fix with 86s (1) cores
% 4.45/0.99 % Preprocessing time : 0.003 s
% 4.45/0.99 % Presaturation interreduction done
% 4.45/0.99
% 4.45/0.99 % Proof found!
% 4.45/0.99 % SZS status Theorem
% 4.45/0.99 % SZS output start CNFRefutation
% 4.45/0.99 thf(decl_23, type, epred1_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o).
% 4.45/0.99 thf(decl_24, type, epred2_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o).
% 4.45/0.99 thf(decl_25, type, epred3_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_26, type, epred4_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_27, type, epred5_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_28, type, epred6_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_29, type, epred7_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_30, type, epred8_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_31, type, epred9_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_32, type, epred10_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_33, type, epred11_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_34, type, epred12_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_35, type, epred13_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_36, type, epred14_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_37, type, epred15_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_38, type, epred16_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_39, type, epred17_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_40, type, epred18_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_41, type, epred19_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_42, type, epred20_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_43, type, epred21_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_44, type, epred22_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_45, type, epred23_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_46, type, epred24_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > $o > ($o > $o) > $o).
% 4.45/0.99 thf(decl_47, type, epred25_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_48, type, epred26_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_49, type, epred27_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_50, type, epred28_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_51, type, epred29_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_52, type, epred30_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_53, type, epred31_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_54, type, epred32_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_55, type, epred33_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_56, type, epred34_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_57, type, epred35_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_58, type, epred36_1: (($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o) > ($o > ($o > $o) > $o) > $o).
% 4.45/0.99 thf(decl_269, type, esk247_0: $o).
% 4.45/0.99 thf(decl_270, type, esk248_1: $o > $o).
% 4.45/0.99 thf(decl_277, type, epred255_0: $o).
% 4.45/0.99 thf(decl_278, type, epred256_0: $o).
% 4.45/0.99 thf(decl_279, type, epred257_0: $o).
% 4.45/0.99 thf(ramsey_l_4_13_256a, conjecture, ?[X1:($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) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o]:((((((((((((((X8 @ X4)&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X4)))&(X9 @ X5))&~((X9 @ X6)))&~((X9 @ X7)))&~((X10 @ X4)))&~((X10 @ X5)))&(X10 @ X6))&~((X10 @ X7)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6))))))&![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$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) > $o, X8:($o > ($o > $o) > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X20:($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]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X8 @ X4)&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X8 @ X11)))&~((X8 @ X12)))&~((X8 @ X13)))&~((X8 @ X14)))&~((X8 @ X15)))&~((X8 @ X16)))&~((X8 @ X17)))&~((X8 @ X18)))&~((X8 @ X19)))&~((X9 @ X4)))&(X9 @ X5))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X11)))&~((X9 @ X12)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X9 @ X17)))&~((X9 @ X18)))&~((X9 @ X19)))&~((X10 @ X4)))&~((X10 @ X5)))&(X10 @ X6))&~((X10 @ X7)))&~((X10 @ X11)))&~((X10 @ X12)))&~((X10 @ X13)))&~((X10 @ X14)))&~((X10 @ X15)))&~((X10 @ X16)))&~((X10 @ X17)))&~((X10 @ X18)))&~((X10 @ X19)))&~((X20 @ X4)))&~((X20 @ X5)))&~((X20 @ X6)))&(X20 @ X7))&~((X20 @ X11)))&~((X20 @ X12)))&~((X20 @ X13)))&~((X20 @ X14)))&~((X20 @ X15)))&~((X20 @ X16)))&~((X20 @ X17)))&~((X20 @ X18)))&~((X20 @ X19)))&~((X21 @ X4)))&~((X21 @ X5)))&~((X21 @ X6)))&~((X21 @ X7)))&(X21 @ X11))&~((X21 @ X12)))&~((X21 @ X13)))&~((X21 @ X14)))&~((X21 @ X15)))&~((X21 @ X16)))&~((X21 @ X17)))&~((X21 @ X18)))&~((X21 @ X19)))&~((X22 @ X4)))&~((X22 @ X5)))&~((X22 @ X6)))&~((X22 @ X7)))&~((X22 @ X11)))&(X22 @ X12))&~((X22 @ X13)))&~((X22 @ X14)))&~((X22 @ X15)))&~((X22 @ X16)))&~((X22 @ X17)))&~((X22 @ X18)))&~((X22 @ X19)))&~((X23 @ X4)))&~((X23 @ X5)))&~((X23 @ X6)))&~((X23 @ X7)))&~((X23 @ X11)))&~((X23 @ X12)))&(X23 @ X13))&~((X23 @ X14)))&~((X23 @ X15)))&~((X23 @ X16)))&~((X23 @ X17)))&~((X23 @ X18)))&~((X23 @ X19)))&~((X24 @ X4)))&~((X24 @ X5)))&~((X24 @ X6)))&~((X24 @ X7)))&~((X24 @ 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X16)|(X1 @ X18 @ X17)|(X1 @ X19 @ X4)|(X1 @ X19 @ X5)|(X1 @ X19 @ X6)|(X1 @ X19 @ X7)|(X1 @ X19 @ X11)|(X1 @ X19 @ X12)|(X1 @ X19 @ X13)|(X1 @ X19 @ X14)|(X1 @ X19 @ X15)|(X1 @ X19 @ X16)|(X1 @ X19 @ X17)|(X1 @ X19 @ X18)))))), file('/export/starexec/sandbox2/tmp/tmp.sMUWUpWfGd/E---3.1_3571252.p', ramsey_l_4_13_256a)).
% 4.45/0.99 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) > $o, X11:$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) > $o, X8:($o > ($o > $o) > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X20:($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]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X8 @ X4)&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X8 @ X11)))&~((X8 @ X12)))&~((X8 @ X13)))&~((X8 @ X14)))&~((X8 @ X15)))&~((X8 @ X16)))&~((X8 @ X17)))&~((X8 @ X18)))&~((X8 @ X19)))&~((X9 @ X4)))&(X9 @ X5))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X11)))&~((X9 @ X12)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X9 @ X17)))&~((X9 @ X18)))&~((X9 @ X19)))&~((X10 @ X4)))&~((X10 @ X5)))&(X10 @ X6))&~((X10 @ X7)))&~((X10 @ X11)))&~((X10 @ X12)))&~((X10 @ X13)))&~((X10 @ X14)))&~((X10 @ X15)))&~((X10 @ X16)))&~((X10 @ X17)))&~((X10 @ X18)))&~((X10 @ X19)))&~((X20 @ X4)))&~((X20 @ X5)))&~((X20 @ X6)))&(X20 @ X7))&~((X20 @ X11)))&~((X20 @ X12)))&~((X20 @ X13)))&~((X20 @ X14)))&~((X20 @ X15)))&~((X20 @ X16)))&~((X20 @ X17)))&~((X20 @ X18)))&~((X20 @ X19)))&~((X21 @ X4)))&~((X21 @ X5)))&~((X21 @ X6)))&~((X21 @ X7)))&(X21 @ X11))&~((X21 @ X12)))&~((X21 @ X13)))&~((X21 @ X14)))&~((X21 @ X15)))&~((X21 @ X16)))&~((X21 @ X17)))&~((X21 @ X18)))&~((X21 @ X19)))&~((X22 @ X4)))&~((X22 @ X5)))&~((X22 @ X6)))&~((X22 @ X7)))&~((X22 @ X11)))&(X22 @ X12))&~((X22 @ X13)))&~((X22 @ X14)))&~((X22 @ X15)))&~((X22 @ X16)))&~((X22 @ X17)))&~((X22 @ X18)))&~((X22 @ X19)))&~((X23 @ X4)))&~((X23 @ X5)))&~((X23 @ X6)))&~((X23 @ X7)))&~((X23 @ X11)))&~((X23 @ X12)))&(X23 @ X13))&~((X23 @ X14)))&~((X23 @ X15)))&~((X23 @ X16)))&~((X23 @ X17)))&~((X23 @ X18)))&~((X23 @ X19)))&~((X24 @ X4)))&~((X24 @ X5)))&~((X24 @ X6)))&~((X24 @ X7)))&~((X24 @ X11)))&~((X24 @ X12)))&~((X24 @ X13)))&(X24 @ X14))&~((X24 @ X15)))&~((X24 @ X16)))&~((X24 @ X17)))&~((X24 @ X18)))&~((X24 @ X19)))&~((X25 @ X4)))&~((X25 @ X5)))&~((X25 @ X6)))&~((X25 @ X7)))&~((X25 @ X11)))&~((X25 @ X12)))&~((X25 @ X13)))&~((X25 @ X14)))&(X25 @ X15))&~((X25 @ X16)))&~((X25 @ X17)))&~((X25 @ X18)))&~((X25 @ X19)))&~((X26 @ X4)))&~((X26 @ X5)))&~((X26 @ X6)))&~((X26 @ X7)))&~((X26 @ X11)))&~((X26 @ X12)))&~((X26 @ X13)))&~((X26 @ X14)))&~((X26 @ X15)))&(X26 @ X16))&~((X26 @ X17)))&~((X26 @ X18)))&~((X26 @ X19)))&~((X27 @ X4)))&~((X27 @ X5)))&~((X27 @ X6)))&~((X27 @ X7)))&~((X27 @ X11)))&~((X27 @ X12)))&~((X27 @ X13)))&~((X27 @ X14)))&~((X27 @ X15)))&~((X27 @ X16)))&(X27 @ X17))&~((X27 @ X18)))&~((X27 @ X19)))&~((X28 @ X4)))&~((X28 @ X5)))&~((X28 @ X6)))&~((X28 @ X7)))&~((X28 @ X11)))&~((X28 @ X12)))&~((X28 @ X13)))&~((X28 @ X14)))&~((X28 @ X15)))&~((X28 @ X16)))&~((X28 @ X17)))&(X28 @ X18))&~((X28 @ X19)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X11 @ X4)|(X1 @ X11 @ X5)|(X1 @ X11 @ X6)|(X1 @ X11 @ X7)|(X1 @ X12 @ X4)|(X1 @ X12 @ X5)|(X1 @ X12 @ X6)|(X1 @ X12 @ X7)|(X1 @ X12 @ X11)|(X1 @ X13 @ X4)|(X1 @ X13 @ X5)|(X1 @ X13 @ X6)|(X1 @ X13 @ X7)|(X1 @ X13 @ X11)|(X1 @ X13 @ X12)|(X1 @ X14 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X6)|(X1 @ X14 @ X7)|(X1 @ X14 @ X11)|(X1 @ X14 @ X12)|(X1 @ X14 @ X13)|(X1 @ X15 @ X4)|(X1 @ X15 @ X5)|(X1 @ X15 @ X6)|(X1 @ X15 @ X7)|(X1 @ X15 @ X11)|(X1 @ X15 @ X12)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X16 @ X4)|(X1 @ X16 @ X5)|(X1 @ X16 @ X6)|(X1 @ X16 @ X7)|(X1 @ X16 @ X11)|(X1 @ X16 @ X12)|(X1 @ X16 @ X13)|(X1 @ X16 @ X14)|(X1 @ X16 @ X15)|(X1 @ X17 @ X4)|(X1 @ X17 @ X5)|(X1 @ X17 @ X6)|(X1 @ X17 @ X7)|(X1 @ X17 @ X11)|(X1 @ X17 @ X12)|(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 @ X11)|(X1 @ X18 @ X12)|(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 @ X11)|(X1 @ X19 @ X12)|(X1 @ X19 @ X13)|(X1 @ X19 @ X14)|(X1 @ X19 @ X15)|(X1 @ X19 @ X16)|(X1 @ X19 @ X17)|(X1 @ X19 @ X18)))))), introduced(definition)).
% 4.45/0.99 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) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o]:((((((((((((((X8 @ X4)&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X4)))&(X9 @ X5))&~((X9 @ X6)))&~((X9 @ X7)))&~((X10 @ X4)))&~((X10 @ X5)))&(X10 @ X6))&~((X10 @ X7)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6))))))&![X4:$o > ($o > $o) > $o, X5:$o > ($o > $o) > $o, X6:$o > ($o > $o) > $o, X7:$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) > $o, X8:($o 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X12)))&~((X10 @ X13)))&~((X10 @ X14)))&~((X10 @ X15)))&~((X10 @ X16)))&~((X10 @ X17)))&~((X10 @ X18)))&~((X10 @ X19)))&~((X20 @ X4)))&~((X20 @ X5)))&~((X20 @ X6)))&(X20 @ X7))&~((X20 @ X11)))&~((X20 @ X12)))&~((X20 @ X13)))&~((X20 @ X14)))&~((X20 @ X15)))&~((X20 @ X16)))&~((X20 @ X17)))&~((X20 @ X18)))&~((X20 @ X19)))&~((X21 @ X4)))&~((X21 @ X5)))&~((X21 @ X6)))&~((X21 @ X7)))&(X21 @ X11))&~((X21 @ X12)))&~((X21 @ X13)))&~((X21 @ X14)))&~((X21 @ X15)))&~((X21 @ X16)))&~((X21 @ X17)))&~((X21 @ X18)))&~((X21 @ X19)))&~((X22 @ X4)))&~((X22 @ X5)))&~((X22 @ X6)))&~((X22 @ X7)))&~((X22 @ X11)))&(X22 @ X12))&~((X22 @ X13)))&~((X22 @ X14)))&~((X22 @ X15)))&~((X22 @ X16)))&~((X22 @ X17)))&~((X22 @ X18)))&~((X22 @ X19)))&~((X23 @ X4)))&~((X23 @ X5)))&~((X23 @ X6)))&~((X23 @ X7)))&~((X23 @ X11)))&~((X23 @ X12)))&(X23 @ X13))&~((X23 @ X14)))&~((X23 @ X15)))&~((X23 @ X16)))&~((X23 @ X17)))&~((X23 @ X18)))&~((X23 @ X19)))&~((X24 @ X4)))&~((X24 @ X5)))&~((X24 @ X6)))&~((X24 @ X7)))&~((X24 @ X11)))&~((X24 @ X12)))&~((X24 @ X13)))&(X24 @ X14))&~((X24 @ X15)))&~((X24 @ X16)))&~((X24 @ X17)))&~((X24 @ X18)))&~((X24 @ X19)))&~((X25 @ X4)))&~((X25 @ X5)))&~((X25 @ X6)))&~((X25 @ X7)))&~((X25 @ X11)))&~((X25 @ X12)))&~((X25 @ X13)))&~((X25 @ X14)))&(X25 @ X15))&~((X25 @ X16)))&~((X25 @ X17)))&~((X25 @ X18)))&~((X25 @ X19)))&~((X26 @ X4)))&~((X26 @ X5)))&~((X26 @ X6)))&~((X26 @ X7)))&~((X26 @ X11)))&~((X26 @ X12)))&~((X26 @ X13)))&~((X26 @ X14)))&~((X26 @ X15)))&(X26 @ X16))&~((X26 @ X17)))&~((X26 @ X18)))&~((X26 @ X19)))&~((X27 @ X4)))&~((X27 @ X5)))&~((X27 @ X6)))&~((X27 @ X7)))&~((X27 @ X11)))&~((X27 @ X12)))&~((X27 @ X13)))&~((X27 @ X14)))&~((X27 @ X15)))&~((X27 @ X16)))&(X27 @ X17))&~((X27 @ X18)))&~((X27 @ X19)))&~((X28 @ X4)))&~((X28 @ X5)))&~((X28 @ X6)))&~((X28 @ X7)))&~((X28 @ X11)))&~((X28 @ X12)))&~((X28 @ X13)))&~((X28 @ X14)))&~((X28 @ X15)))&~((X28 @ X16)))&~((X28 @ X17)))&(X28 @ X18))&~((X28 @ X19)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X11 @ X4)|(X1 @ X11 @ X5)|(X1 @ X11 @ X6)|(X1 @ X11 @ X7)|(X1 @ X12 @ X4)|(X1 @ X12 @ X5)|(X1 @ X12 @ X6)|(X1 @ X12 @ X7)|(X1 @ X12 @ X11)|(X1 @ X13 @ X4)|(X1 @ X13 @ X5)|(X1 @ X13 @ X6)|(X1 @ X13 @ X7)|(X1 @ X13 @ X11)|(X1 @ X13 @ X12)|(X1 @ X14 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X6)|(X1 @ X14 @ X7)|(X1 @ X14 @ X11)|(X1 @ X14 @ X12)|(X1 @ X14 @ X13)|(X1 @ X15 @ X4)|(X1 @ X15 @ X5)|(X1 @ X15 @ X6)|(X1 @ X15 @ X7)|(X1 @ X15 @ X11)|(X1 @ X15 @ X12)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X16 @ X4)|(X1 @ X16 @ X5)|(X1 @ X16 @ X6)|(X1 @ X16 @ X7)|(X1 @ X16 @ X11)|(X1 @ X16 @ X12)|(X1 @ X16 @ X13)|(X1 @ X16 @ X14)|(X1 @ X16 @ X15)|(X1 @ X17 @ X4)|(X1 @ X17 @ X5)|(X1 @ X17 @ X6)|(X1 @ X17 @ X7)|(X1 @ X17 @ X11)|(X1 @ X17 @ X12)|(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 @ X11)|(X1 @ X18 @ X12)|(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 @ X11)|(X1 @ X19 @ X12)|(X1 @ X19 @ X13)|(X1 @ X19 @ X14)|(X1 @ X19 @ X15)|(X1 @ X19 @ X16)|(X1 @ X19 @ X17)|(X1 @ X19 @ X18))))))), inference(assume_negation,[status(cth)],[ramsey_l_4_13_256a])).
% 4.45/0.99 thf(c_0_3, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred1_1 @ X1)<=>(![X2:$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) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o]:((((((((((((((X8 @ X4)&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X4)))&(X9 @ X5))&~((X9 @ X6)))&~((X9 @ X7)))&~((X10 @ X4)))&~((X10 @ X5)))&(X10 @ X6))&~((X10 @ X7)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6)))))))), introduced(definition)).
% 4.45/0.99 thf(c_0_4, plain, ![X1:($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) > $o, X11:$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) > $o, X8:($o > ($o > $o) > $o) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o, X20:($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]:((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((X8 @ X4)&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X8 @ X11)))&~((X8 @ X12)))&~((X8 @ X13)))&~((X8 @ X14)))&~((X8 @ X15)))&~((X8 @ X16)))&~((X8 @ X17)))&~((X8 @ X18)))&~((X8 @ X19)))&~((X9 @ X4)))&(X9 @ X5))&~((X9 @ X6)))&~((X9 @ X7)))&~((X9 @ X11)))&~((X9 @ X12)))&~((X9 @ X13)))&~((X9 @ X14)))&~((X9 @ X15)))&~((X9 @ X16)))&~((X9 @ X17)))&~((X9 @ X18)))&~((X9 @ X19)))&~((X10 @ X4)))&~((X10 @ X5)))&(X10 @ X6))&~((X10 @ X7)))&~((X10 @ X11)))&~((X10 @ X12)))&~((X10 @ X13)))&~((X10 @ X14)))&~((X10 @ X15)))&~((X10 @ X16)))&~((X10 @ X17)))&~((X10 @ X18)))&~((X10 @ X19)))&~((X20 @ X4)))&~((X20 @ X5)))&~((X20 @ X6)))&(X20 @ X7))&~((X20 @ X11)))&~((X20 @ X12)))&~((X20 @ X13)))&~((X20 @ X14)))&~((X20 @ X15)))&~((X20 @ X16)))&~((X20 @ X17)))&~((X20 @ X18)))&~((X20 @ X19)))&~((X21 @ X4)))&~((X21 @ X5)))&~((X21 @ X6)))&~((X21 @ X7)))&(X21 @ X11))&~((X21 @ X12)))&~((X21 @ X13)))&~((X21 @ X14)))&~((X21 @ X15)))&~((X21 @ X16)))&~((X21 @ X17)))&~((X21 @ X18)))&~((X21 @ X19)))&~((X22 @ X4)))&~((X22 @ X5)))&~((X22 @ X6)))&~((X22 @ X7)))&~((X22 @ X11)))&(X22 @ X12))&~((X22 @ X13)))&~((X22 @ X14)))&~((X22 @ X15)))&~((X22 @ X16)))&~((X22 @ X17)))&~((X22 @ X18)))&~((X22 @ X19)))&~((X23 @ X4)))&~((X23 @ X5)))&~((X23 @ X6)))&~((X23 @ X7)))&~((X23 @ X11)))&~((X23 @ X12)))&(X23 @ X13))&~((X23 @ X14)))&~((X23 @ X15)))&~((X23 @ X16)))&~((X23 @ X17)))&~((X23 @ X18)))&~((X23 @ X19)))&~((X24 @ X4)))&~((X24 @ X5)))&~((X24 @ X6)))&~((X24 @ X7)))&~((X24 @ X11)))&~((X24 @ X12)))&~((X24 @ X13)))&(X24 @ X14))&~((X24 @ X15)))&~((X24 @ X16)))&~((X24 @ X17)))&~((X24 @ X18)))&~((X24 @ X19)))&~((X25 @ X4)))&~((X25 @ X5)))&~((X25 @ X6)))&~((X25 @ X7)))&~((X25 @ X11)))&~((X25 @ X12)))&~((X25 @ X13)))&~((X25 @ X14)))&(X25 @ X15))&~((X25 @ X16)))&~((X25 @ X17)))&~((X25 @ X18)))&~((X25 @ X19)))&~((X26 @ X4)))&~((X26 @ X5)))&~((X26 @ X6)))&~((X26 @ X7)))&~((X26 @ X11)))&~((X26 @ X12)))&~((X26 @ X13)))&~((X26 @ X14)))&~((X26 @ X15)))&(X26 @ X16))&~((X26 @ X17)))&~((X26 @ X18)))&~((X26 @ X19)))&~((X27 @ X4)))&~((X27 @ X5)))&~((X27 @ X6)))&~((X27 @ X7)))&~((X27 @ X11)))&~((X27 @ X12)))&~((X27 @ X13)))&~((X27 @ X14)))&~((X27 @ X15)))&~((X27 @ X16)))&(X27 @ X17))&~((X27 @ X18)))&~((X27 @ X19)))&~((X28 @ X4)))&~((X28 @ X5)))&~((X28 @ X6)))&~((X28 @ X7)))&~((X28 @ X11)))&~((X28 @ X12)))&~((X28 @ X13)))&~((X28 @ X14)))&~((X28 @ X15)))&~((X28 @ X16)))&~((X28 @ X17)))&(X28 @ X18))&~((X28 @ X19)))=>((X1 @ X5 @ X4)|(X1 @ X6 @ X4)|(X1 @ X6 @ X5)|(X1 @ X7 @ X4)|(X1 @ X7 @ X5)|(X1 @ X7 @ X6)|(X1 @ X11 @ X4)|(X1 @ X11 @ X5)|(X1 @ X11 @ X6)|(X1 @ X11 @ X7)|(X1 @ X12 @ X4)|(X1 @ X12 @ X5)|(X1 @ X12 @ X6)|(X1 @ X12 @ X7)|(X1 @ X12 @ X11)|(X1 @ X13 @ X4)|(X1 @ X13 @ X5)|(X1 @ X13 @ X6)|(X1 @ X13 @ X7)|(X1 @ X13 @ X11)|(X1 @ X13 @ X12)|(X1 @ X14 @ X4)|(X1 @ X14 @ X5)|(X1 @ X14 @ X6)|(X1 @ X14 @ X7)|(X1 @ X14 @ X11)|(X1 @ X14 @ X12)|(X1 @ X14 @ X13)|(X1 @ X15 @ X4)|(X1 @ X15 @ X5)|(X1 @ X15 @ X6)|(X1 @ X15 @ X7)|(X1 @ X15 @ X11)|(X1 @ X15 @ X12)|(X1 @ X15 @ X13)|(X1 @ X15 @ X14)|(X1 @ X16 @ X4)|(X1 @ X16 @ X5)|(X1 @ X16 @ X6)|(X1 @ X16 @ X7)|(X1 @ X16 @ X11)|(X1 @ X16 @ X12)|(X1 @ X16 @ X13)|(X1 @ X16 @ X14)|(X1 @ X16 @ X15)|(X1 @ X17 @ X4)|(X1 @ X17 @ X5)|(X1 @ X17 @ X6)|(X1 @ X17 @ X7)|(X1 @ X17 @ X11)|(X1 @ X17 @ X12)|(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 @ X11)|(X1 @ X18 @ X12)|(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 @ X11)|(X1 @ X19 @ X12)|(X1 @ X19 @ X13)|(X1 @ X19 @ X14)|(X1 @ X19 @ X15)|(X1 @ X19 @ X16)|(X1 @ X19 @ X17)|(X1 @ X19 @ X18))))=>(epred2_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_1])).
% 4.45/0.99 thf(c_0_5, negated_conjecture, ~(?[X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred1_1 @ X1)&(epred2_1 @ X1)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_2, c_0_3]), c_0_1])).
% 4.45/0.99 thf(c_0_6, plain, ![X1:($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) > $o, X9:($o > ($o > $o) > $o) > $o, X10:($o > ($o > $o) > $o) > $o]:((((((((((((((X8 @ X4)&~((X8 @ X5)))&~((X8 @ X6)))&~((X8 @ X7)))&~((X9 @ X4)))&(X9 @ X5))&~((X9 @ X6)))&~((X9 @ X7)))&~((X10 @ X4)))&~((X10 @ X5)))&(X10 @ X6))&~((X10 @ X7)))=>(~((X1 @ X5 @ X4))|~((X1 @ X6 @ X4))|~((X1 @ X6 @ X5))|~((X1 @ X7 @ X4))|~((X1 @ X7 @ X5))|~((X1 @ X7 @ X6))))))=>(epred1_1 @ X1))), inference(split_equiv,[status(thm)],[c_0_3])).
% 4.45/0.99 thf(c_0_7, plain, ![X75:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((epred25_1 @ X75 @ (epred12_1 @ X75))|(epred2_1 @ X75))&(~(epred25_1 @ X75 @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(epred25_1 @ X75 @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(epred25_1 @ X75 @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(epred25_1 @ X75 @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(epred25_1 @ X75 @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(epred25_1 @ X75 @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(epred25_1 @ X75 @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(epred25_1 @ X75 @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(epred25_1 @ X75 @ (epred21_1 @ X75))|(epred2_1 @ X75)))&(~(epred25_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred25_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred25_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred26_1 @ X75 @ (epred12_1 @ X75))|(epred2_1 @ X75)))&((epred26_1 @ X75 @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(epred26_1 @ X75 @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(epred26_1 @ X75 @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(epred26_1 @ X75 @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(epred26_1 @ X75 @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(epred26_1 @ X75 @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(epred26_1 @ X75 @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(epred26_1 @ X75 @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(epred26_1 @ X75 @ (epred21_1 @ X75))|(epred2_1 @ X75)))&(~(epred26_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred26_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred26_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred27_1 @ X75 @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(epred27_1 @ X75 @ (epred13_1 @ X75))|(epred2_1 @ X75)))&((epred27_1 @ X75 @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(epred27_1 @ X75 @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(epred27_1 @ X75 @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(epred27_1 @ X75 @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(epred27_1 @ X75 @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(epred27_1 @ X75 @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(epred27_1 @ X75 @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(epred27_1 @ X75 @ (epred21_1 @ X75))|(epred2_1 @ X75)))&(~(epred27_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred27_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred27_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred28_1 @ X75 @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(epred28_1 @ X75 @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(epred28_1 @ X75 @ (epred14_1 @ X75))|(epred2_1 @ X75)))&((epred28_1 @ X75 @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(epred28_1 @ X75 @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(epred28_1 @ X75 @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(epred28_1 @ X75 @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(epred28_1 @ X75 @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(epred28_1 @ X75 @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(epred28_1 @ X75 @ (epred21_1 @ X75))|(epred2_1 @ X75)))&(~(epred28_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred28_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred28_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred15_1 @ X75))|(epred2_1 @ X75)))&((epred29_1 @ X75 @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred21_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred29_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred16_1 @ X75))|(epred2_1 @ X75)))&((epred30_1 @ X75 @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred21_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred30_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred17_1 @ X75))|(epred2_1 @ X75)))&((epred31_1 @ X75 @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred21_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred31_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred18_1 @ X75))|(epred2_1 @ X75)))&((epred32_1 @ X75 @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred21_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred32_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred19_1 @ X75))|(epred2_1 @ X75)))&((epred33_1 @ X75 @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred21_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred33_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred20_1 @ X75))|(epred2_1 @ X75)))&((epred34_1 @ X75 @ (epred21_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred34_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred35_1 @ X75 @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(epred35_1 @ X75 @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(epred35_1 @ X75 @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(epred35_1 @ X75 @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(epred35_1 @ X75 @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(epred35_1 @ X75 @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(epred35_1 @ X75 @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(epred35_1 @ X75 @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(epred35_1 @ X75 @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(epred35_1 @ X75 @ (epred21_1 @ X75))|(epred2_1 @ X75)))&((epred35_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(epred35_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred35_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&(~(epred36_1 @ X75 @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(epred36_1 @ X75 @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(epred36_1 @ X75 @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(epred36_1 @ X75 @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(epred36_1 @ X75 @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(epred36_1 @ X75 @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(epred36_1 @ X75 @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(epred36_1 @ X75 @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(epred36_1 @ X75 @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(epred36_1 @ X75 @ (epred21_1 @ X75))|(epred2_1 @ X75)))&(~(epred36_1 @ X75 @ (epred22_1 @ X75))|(epred2_1 @ X75)))&((epred36_1 @ X75 @ (epred23_1 @ X75))|(epred2_1 @ X75)))&(~(epred36_1 @ X75 @ (epred24_1 @ X75))|(epred2_1 @ X75)))&((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~(X75 @ (epred13_1 @ X75) @ (epred12_1 @ X75))|(epred2_1 @ X75))&(~(X75 @ (epred14_1 @ X75) @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred14_1 @ X75) @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred15_1 @ X75) @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred15_1 @ X75) @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred15_1 @ X75) @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred16_1 @ X75) @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred16_1 @ X75) @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred16_1 @ X75) @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred16_1 @ X75) @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred17_1 @ X75) @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred17_1 @ X75) @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred17_1 @ X75) @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred17_1 @ X75) @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred17_1 @ X75) @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred18_1 @ X75) @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred18_1 @ X75) @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred18_1 @ X75) @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred18_1 @ X75) @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred18_1 @ X75) @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred18_1 @ X75) @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred19_1 @ X75) @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred19_1 @ X75) @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred19_1 @ X75) @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred19_1 @ X75) @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred19_1 @ X75) @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred19_1 @ X75) @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred19_1 @ X75) @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred20_1 @ X75) @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred20_1 @ X75) @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred20_1 @ X75) @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred20_1 @ X75) @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred20_1 @ X75) @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred20_1 @ X75) @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred20_1 @ X75) @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred20_1 @ X75) @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred21_1 @ X75) @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred21_1 @ X75) @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred21_1 @ X75) @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred21_1 @ X75) @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred21_1 @ X75) @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred21_1 @ X75) @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred21_1 @ X75) @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred21_1 @ X75) @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred21_1 @ X75) @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred22_1 @ X75) @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred22_1 @ X75) @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred22_1 @ X75) @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred22_1 @ X75) @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred22_1 @ X75) @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred22_1 @ X75) @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred22_1 @ X75) @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred22_1 @ X75) @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred22_1 @ X75) @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred22_1 @ X75) @ (epred21_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred23_1 @ X75) @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred23_1 @ X75) @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred23_1 @ X75) @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred23_1 @ X75) @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred23_1 @ X75) @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred23_1 @ X75) @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred23_1 @ X75) @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred23_1 @ X75) @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred23_1 @ X75) @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred23_1 @ X75) @ (epred21_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred23_1 @ X75) @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred24_1 @ X75) @ (epred12_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred24_1 @ X75) @ (epred13_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred24_1 @ X75) @ (epred14_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred24_1 @ X75) @ (epred15_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred24_1 @ X75) @ (epred16_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred24_1 @ X75) @ (epred17_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred24_1 @ X75) @ (epred18_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred24_1 @ X75) @ (epred19_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred24_1 @ X75) @ (epred20_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred24_1 @ X75) @ (epred21_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred24_1 @ X75) @ (epred22_1 @ X75))|(epred2_1 @ X75)))&(~(X75 @ (epred24_1 @ X75) @ (epred23_1 @ X75))|(epred2_1 @ X75))))), 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])])])])])])).
% 4.45/0.99 thf(c_0_8, negated_conjecture, ![X64:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((~(epred1_1 @ X64)|~(epred2_1 @ X64))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
% 4.45/0.99 thf(c_0_9, plain, ![X65:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((((((((((((((((epred9_1 @ X65 @ (epred5_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65))&(~(epred9_1 @ X65 @ (epred6_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&(~(epred9_1 @ X65 @ (epred7_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&(~(epred9_1 @ X65 @ (epred8_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&(~(epred10_1 @ X65 @ (epred5_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&((epred10_1 @ X65 @ (epred6_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&(~(epred10_1 @ X65 @ (epred7_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&(~(epred10_1 @ X65 @ (epred8_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&(~(epred11_1 @ X65 @ (epred5_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&(~(epred11_1 @ X65 @ (epred6_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&((epred11_1 @ X65 @ (epred7_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&(~(epred11_1 @ X65 @ (epred8_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&(((((((X65 @ (epred6_1 @ X65) @ (epred5_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65))&((X65 @ (epred7_1 @ X65) @ (epred5_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&((X65 @ (epred7_1 @ X65) @ (epred6_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&((X65 @ (epred8_1 @ X65) @ (epred5_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&((X65 @ (epred8_1 @ X65) @ (epred6_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65)))&((X65 @ (epred8_1 @ X65) @ (epred7_1 @ X65))|(X65 @ (epred3_1 @ X65) @ (epred4_1 @ X65))|(epred1_1 @ X65))))&((((((((((((((epred9_1 @ X65 @ (epred5_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65))&(~(epred9_1 @ X65 @ (epred6_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&(~(epred9_1 @ X65 @ (epred7_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&(~(epred9_1 @ X65 @ (epred8_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&(~(epred10_1 @ X65 @ (epred5_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&((epred10_1 @ X65 @ (epred6_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&(~(epred10_1 @ X65 @ (epred7_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&(~(epred10_1 @ X65 @ (epred8_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&(~(epred11_1 @ X65 @ (epred5_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&(~(epred11_1 @ X65 @ (epred6_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&((epred11_1 @ X65 @ (epred7_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&(~(epred11_1 @ X65 @ (epred8_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&(((((((X65 @ (epred6_1 @ X65) @ (epred5_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65))&((X65 @ (epred7_1 @ X65) @ (epred5_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&((X65 @ (epred7_1 @ X65) @ (epred6_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&((X65 @ (epred8_1 @ X65) @ (epred5_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&((X65 @ (epred8_1 @ X65) @ (epred6_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))&((X65 @ (epred8_1 @ X65) @ (epred7_1 @ X65))|~(X65 @ (epred4_1 @ X65) @ (epred3_1 @ X65))|(epred1_1 @ X65)))))), 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_6])])])])])])).
% 4.45/0.99 thf(c_0_10, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)|~((epred25_1 @ X1 @ (epred13_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 4.45/0.99 thf(c_0_11, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred25_1 @ X1 @ (epred12_1 @ X1))|(epred2_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 4.45/0.99 thf(c_0_12, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)|~((X1 @ (epred13_1 @ X1) @ (epred12_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 4.45/0.99 thf(c_0_13, negated_conjecture, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:((~((epred1_1 @ X1))|~((epred2_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_8])).
% 4.45/0.99 thf(c_0_14, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((X1 @ (epred6_1 @ X1) @ (epred5_1 @ X1))|(X1 @ (epred3_1 @ X1) @ (epred4_1 @ X1))|(epred1_1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 4.45/0.99 thf(c_0_15, plain, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((epred2_1 @ X1)|((epred13_1 @ X1)!=(epred12_1 @ X1)))), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_10, c_0_11])])).
% 4.45/0.99 thf(c_0_16, plain, (((epred13_1 @ $neq)=(epred12_1 @ $neq))|(epred2_1 @ $neq)), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_12])).
% 4.45/0.99 thf(c_0_17, negated_conjecture, ![X1:($o > ($o > $o) > $o) > ($o > ($o > $o) > $o) > $o]:(((X1 @ (epred6_1 @ X1) @ (epred5_1 @ X1))|(X1 @ (epred3_1 @ X1) @ (epred4_1 @ X1))|~((epred2_1 @ X1)))), inference(spm,[status(thm)],[c_0_13, c_0_14])).
% 4.45/0.99 thf(c_0_18, plain, (epred2_1 @ $neq), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 4.45/0.99 thf(c_0_19, plain, (((epred6_1 @ $neq)!=(epred5_1 @ $neq))|((epred4_1 @ $neq)!=(epred3_1 @ $neq))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18])])).
% 4.45/0.99 thf(c_0_20, plain, (((epred4_1 @ $neq @ ((esk247_0)) @ esk248_1)<~>(epred3_1 @ $neq @ ((esk247_0)) @ esk248_1))|((epred6_1 @ $neq)!=(epred5_1 @ $neq))), inference(neg_ext,[status(thm)],[c_0_19])).
% 4.45/0.99 thf(c_0_21, plain, (epred255_0), inference(dynamic_cnf,[status(thm)],[c_0_20])).
% 4.45/0.99 thf(c_0_22, plain, (epred256_0), inference(dynamic_cnf,[status(thm)],[c_0_20])).
% 4.45/0.99 thf(c_0_23, plain, ~((epred257_0)), inference(dynamic_cnf,[status(thm)],[c_0_20])).
% 4.45/0.99 thf(c_0_24, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_20]), c_0_21]), c_0_22])]), c_0_23]), ['proof']).
% 4.45/0.99 % SZS output end CNFRefutation
% 4.45/0.99 % Parsed axioms : 1
% 4.45/0.99 % Removed by relevancy pruning/SinE : 0
% 4.45/0.99 % Initial clauses : 271
% 4.45/0.99 % Removed in clause preprocessing : 0
% 4.45/0.99 % Initial clauses in saturation : 271
% 4.45/0.99 % Processed clauses : 757
% 4.45/0.99 % ...of these trivial : 13
% 4.45/0.99 % ...subsumed : 95
% 4.45/0.99 % ...remaining for further processing : 648
% 4.45/0.99 % Other redundant clauses eliminated : 180
% 4.45/0.99 % Clauses deleted for lack of memory : 0
% 4.45/0.99 % Backward-subsumed : 0
% 4.45/0.99 % Backward-rewritten : 1
% 4.45/0.99 % Generated clauses : 1540
% 4.45/0.99 % ...of the previous two non-redundant : 1130
% 4.45/0.99 % ...aggressively subsumed : 0
% 4.45/0.99 % Contextual simplify-reflections : 0
% 4.45/0.99 % Paramodulations : 22
% 4.45/0.99 % Factorizations : 0
% 4.45/0.99 % NegExts : 218
% 4.45/0.99 % Equation resolutions : 180
% 4.45/0.99 % Disequality decompositions : 0
% 4.45/0.99 % Total rewrite steps : 114
% 4.45/0.99 % ...of those cached : 111
% 4.45/0.99 % Propositional unsat checks : 0
% 4.45/0.99 % Propositional check models : 0
% 4.45/0.99 % Propositional check unsatisfiable : 0
% 4.45/0.99 % Propositional clauses : 0
% 4.45/0.99 % Propositional clauses after purity: 0
% 4.45/0.99 % Propositional unsat core size : 0
% 4.45/0.99 % Propositional preprocessing time : 0.000
% 4.45/0.99 % Propositional encoding time : 0.000
% 4.45/0.99 % Propositional solver time : 0.000
% 4.45/0.99 % Success case prop preproc time : 0.000
% 4.45/0.99 % Success case prop encoding time : 0.000
% 4.45/0.99 % Success case prop solver time : 0.000
% 4.45/0.99 % Current number of processed clauses : 375
% 4.45/0.99 % Positive orientable unit clauses : 3
% 4.45/0.99 % Positive unorientable unit clauses: 0
% 4.45/0.99 % Negative unit clauses : 1
% 4.45/0.99 % Non-unit-clauses : 371
% 4.45/0.99 % Current number of unprocessed clauses: 915
% 4.45/0.99 % ...number of literals in the above : 2064
% 4.45/0.99 % Current number of archived formulas : 0
% 4.45/0.99 % Current number of archived clauses : 273
% 4.45/0.99 % Clause-clause subsumption calls (NU) : 12133
% 4.45/0.99 % Rec. Clause-clause subsumption calls : 11072
% 4.45/0.99 % Non-unit clause-clause subsumptions : 92
% 4.45/0.99 % Unit Clause-clause subsumption calls : 699
% 4.45/0.99 % Rewrite failures with RHS unbound : 0
% 4.45/0.99 % BW rewrite match attempts : 1
% 4.45/0.99 % BW rewrite match successes : 1
% 4.45/0.99 % Condensation attempts : 0
% 4.45/0.99 % Condensation successes : 0
% 4.45/0.99 % Termbank termtop insertions : 170979
% 4.45/0.99 % Search garbage collected termcells : 5826
% 4.45/0.99
% 4.45/0.99 % -------------------------------------------------
% 4.45/0.99 % User time : 1.239 s
% 4.45/0.99 % System time : 0.052 s
% 4.45/0.99 % Total time : 1.291 s
% 4.45/0.99 % Maximum resident set size: 4788 pages
% 4.45/0.99
% 4.45/0.99 % -------------------------------------------------
% 4.45/0.99 % User time : 1.241 s
% 4.45/0.99 % System time : 0.058 s
% 4.45/0.99 % Total time : 1.299 s
% 4.45/0.99 % Maximum resident set size: 4864 pages
% 4.45/0.99 % E exiting
%------------------------------------------------------------------------------