%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO500^1.005 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 08:43:15 AM UTC 2026
% Result : Theorem 0.21s 0.38s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO500^1.005 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n004.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 17:10:52 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running higher-order theorem proving
% 0.07/0.25 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.taTITHAQrv/E---3.1_1584431.p
% 0.21/0.38 % Version: 3.5.1-ho
% 0.21/0.38 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.21/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.38 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.38 % Starting ho_unfolding_6 with 300s (1) cores
% 0.21/0.38 % Starting sh4l with 300s (1) cores
% 0.21/0.38 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.21/0.38 % new_ho_10 with pid 1584444 completed with status 0
% 0.21/0.38 % Result found by new_ho_10
% 0.21/0.38 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.21/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.38 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.38 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.38 % No SInE strategy applied
% 0.21/0.38 % Search class: HGHNF-FSLM00-SFFFFFNN
% 0.21/0.38 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.38 % Starting SubtermCWHack with 151s (1) cores
% 0.21/0.38 % Starting new_ho_10 with 901s (1) cores
% 0.21/0.38 % Starting sh5l with 151s (1) cores
% 0.21/0.38 % Starting new_bool_1 with 151s (1) cores
% 0.21/0.38 % Starting new_bool_9 with 146s (1) cores
% 0.21/0.38 % new_ho_10 with pid 1584451 completed with status 0
% 0.21/0.38 % Result found by new_ho_10
% 0.21/0.38 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.21/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.38 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.38 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.38 % No SInE strategy applied
% 0.21/0.38 % Search class: HGHNF-FSLM00-SFFFFFNN
% 0.21/0.38 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.38 % Starting SubtermCWHack with 151s (1) cores
% 0.21/0.38 % Starting new_ho_10 with 901s (1) cores
% 0.21/0.38 % Preprocessing time : 0.002 s
% 0.21/0.38 % Presaturation interreduction done
% 0.21/0.38
% 0.21/0.38 % Proof found!
% 0.21/0.38 % SZS status Theorem
% 0.21/0.38 % SZS output start CNFRefutation
% 0.21/0.38 thf(decl_23, type, x: $o).
% 0.21/0.38 thf(decl_24, type, f0: $o > $o).
% 0.21/0.38 thf(decl_25, type, f1: $o > $o).
% 0.21/0.38 thf(decl_26, type, f2: $o > $o).
% 0.21/0.38 thf(decl_27, type, f3: $o > $o).
% 0.21/0.38 thf(decl_28, type, f4: $o > $o).
% 0.21/0.38 thf(decl_29, type, epred1_0: $o).
% 0.21/0.38 thf(decl_30, type, epred2_0: $o).
% 0.21/0.38 thf(decl_31, type, epred3_0: $o).
% 0.21/0.38 thf(decl_32, type, epred4_0: $o).
% 0.21/0.38 thf(decl_33, type, epred5_0: $o).
% 0.21/0.38 thf(decl_34, type, epred6_0: $o).
% 0.21/0.38 thf(decl_35, type, epred7_0: $o).
% 0.21/0.38 thf(decl_36, type, epred8_0: $o).
% 0.21/0.38 thf(decl_37, type, epred9_0: $o).
% 0.21/0.38 thf(decl_38, type, epred10_0: $o).
% 0.21/0.38 thf(decl_39, type, epred11_0: $o).
% 0.21/0.38 thf(decl_40, type, epred12_0: $o).
% 0.21/0.38 thf(decl_41, type, epred13_0: $o).
% 0.21/0.38 thf(decl_42, type, epred14_0: $o).
% 0.21/0.38 thf(decl_43, type, epred15_0: $o).
% 0.21/0.38 thf(decl_44, type, epred16_0: $o).
% 0.21/0.38 thf(decl_45, type, epred17_0: $o).
% 0.21/0.38 thf(decl_46, type, epred18_0: $o).
% 0.21/0.38 thf(kaminski5, conjecture, ((f0 @ ((f1 @ ((f1 @ ((f1 @ ((f2 @ ((f3 @ ((f3 @ ((f3 @ ((f4 @ ((x)))))))))))))))))))<=>(f0 @ ((f0 @ ((f0 @ ((f1 @ ((f2 @ ((f2 @ ((f2 @ ((f3 @ ((f4 @ ((f4 @ ((f4 @ ((x)))))))))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.taTITHAQrv/E---3.1_1584431.p', kaminski5)).
% 0.21/0.38 thf(c_0_1, plain, ((epred2_0)<=>((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_2, plain, ((epred1_0)<=>((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_3, plain, ((((~(x)|~(f4 @ $true)|(f3 @ $true)|~(epred2_0))&((x)|~(f4 @ $false)|(f3 @ $true)|~(epred2_0)))&((~(x)|(f4 @ $true)|(f3 @ $false)|~(epred2_0))&((x)|(f4 @ $false)|(f3 @ $false)|~(epred2_0))))&(((((((~(x)|(x)|(~(x)|(x))|(epred2_0))&(~(f4 @ $false)|(x)|(~(x)|(x))|(epred2_0)))&((~(x)|~(f4 @ $true)|(~(x)|(x))|(epred2_0))&(~(f4 @ $false)|~(f4 @ $true)|(~(x)|(x))|(epred2_0))))&(~(f3 @ $false)|(~(x)|(x))|(epred2_0)))&((((~(x)|(x)|((f4 @ $false)|(x))|(epred2_0))&(~(f4 @ $false)|(x)|((f4 @ $false)|(x))|(epred2_0)))&((~(x)|~(f4 @ $true)|((f4 @ $false)|(x))|(epred2_0))&(~(f4 @ $false)|~(f4 @ $true)|((f4 @ $false)|(x))|(epred2_0))))&(~(f3 @ $false)|((f4 @ $false)|(x))|(epred2_0))))&(((((~(x)|(x)|(~(x)|(f4 @ $true))|(epred2_0))&(~(f4 @ $false)|(x)|(~(x)|(f4 @ $true))|(epred2_0)))&((~(x)|~(f4 @ $true)|(~(x)|(f4 @ $true))|(epred2_0))&(~(f4 @ $false)|~(f4 @ $true)|(~(x)|(f4 @ $true))|(epred2_0))))&(~(f3 @ $false)|(~(x)|(f4 @ $true))|(epred2_0)))&((((~(x)|(x)|((f4 @ $false)|(f4 @ $true))|(epred2_0))&(~(f4 @ $false)|(x)|((f4 @ $false)|(f4 @ $true))|(epred2_0)))&((~(x)|~(f4 @ $true)|((f4 @ $false)|(f4 @ $true))|(epred2_0))&(~(f4 @ $false)|~(f4 @ $true)|((f4 @ $false)|(f4 @ $true))|(epred2_0))))&(~(f3 @ $false)|((f4 @ $false)|(f4 @ $true))|(epred2_0)))))&((((~(x)|(x)|~(f3 @ $true)|(epred2_0))&(~(f4 @ $false)|(x)|~(f3 @ $true)|(epred2_0)))&((~(x)|~(f4 @ $true)|~(f3 @ $true)|(epred2_0))&(~(f4 @ $false)|~(f4 @ $true)|~(f3 @ $true)|(epred2_0))))&(~(f3 @ $false)|~(f3 @ $true)|(epred2_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])).
% 0.21/0.38 thf(c_0_4, plain, ((epred7_0)<=>((((((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|~(f1 @ $true))&(((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|~(f1 @ $false)))|~(f1 @ $true))&(((((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|(f1 @ $true))&(((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|(f1 @ $false)))|~(f1 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_5, plain, ((epred5_0)<=>((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_6, plain, ((epred6_0)<=>((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|(f1 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_7, plain, ((epred18_0)<=>((((((((((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ 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$true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f1 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_10, negated_conjecture, ~(((f0 @ ((f1 @ ((f1 @ ((f1 @ ((f2 @ ((f3 @ ((f3 @ ((f3 @ ((f4 @ ((x)))))))))))))))))))<=>(f0 @ ((f0 @ ((f0 @ ((f1 @ ((f2 @ ((f2 @ ((f2 @ ((f3 @ ((f4 @ ((f4 @ ((f4 @ ((x))))))))))))))))))))))))), inference(assume_negation,[status(cth)],[kaminski5])).
% 0.21/0.38 thf(c_0_11, plain, ((epred8_0)<=>((((((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|~(f1 @ $true))&(((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|~(f1 @ $false)))|(f1 @ $true))&(((((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|(f1 @ $true))&(((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|(f1 @ $false)))|(f1 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_12, plain, ((epred17_0)<=>((((((((((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ 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$true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|(f0 @ $false)))|~(f0 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_13, plain, ((epred9_0)<=>((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_14, plain, ((((~(x)|~(f4 @ $true)|~(f3 @ $true)|~(epred1_0))&((x)|~(f4 @ $false)|~(f3 @ $true)|~(epred1_0)))&((~(x)|(f4 @ $true)|~(f3 @ $false)|~(epred1_0))&((x)|(f4 @ $false)|~(f3 @ $false)|~(epred1_0))))&(((((((~(x)|(x)|(~(x)|(x))|(epred1_0))&(~(f4 @ $false)|(x)|(~(x)|(x))|(epred1_0)))&((~(x)|~(f4 @ $true)|(~(x)|(x))|(epred1_0))&(~(f4 @ $false)|~(f4 @ $true)|(~(x)|(x))|(epred1_0))))&((f3 @ $false)|(~(x)|(x))|(epred1_0)))&((((~(x)|(x)|((f4 @ $false)|(x))|(epred1_0))&(~(f4 @ $false)|(x)|((f4 @ $false)|(x))|(epred1_0)))&((~(x)|~(f4 @ $true)|((f4 @ $false)|(x))|(epred1_0))&(~(f4 @ $false)|~(f4 @ $true)|((f4 @ $false)|(x))|(epred1_0))))&((f3 @ $false)|((f4 @ $false)|(x))|(epred1_0))))&(((((~(x)|(x)|(~(x)|(f4 @ $true))|(epred1_0))&(~(f4 @ $false)|(x)|(~(x)|(f4 @ $true))|(epred1_0)))&((~(x)|~(f4 @ $true)|(~(x)|(f4 @ $true))|(epred1_0))&(~(f4 @ $false)|~(f4 @ $true)|(~(x)|(f4 @ $true))|(epred1_0))))&((f3 @ $false)|(~(x)|(f4 @ $true))|(epred1_0)))&((((~(x)|(x)|((f4 @ $false)|(f4 @ $true))|(epred1_0))&(~(f4 @ $false)|(x)|((f4 @ $false)|(f4 @ $true))|(epred1_0)))&((~(x)|~(f4 @ $true)|((f4 @ $false)|(f4 @ $true))|(epred1_0))&(~(f4 @ $false)|~(f4 @ $true)|((f4 @ $false)|(f4 @ $true))|(epred1_0))))&((f3 @ $false)|((f4 @ $false)|(f4 @ $true))|(epred1_0)))))&((((~(x)|(x)|(f3 @ $true)|(epred1_0))&(~(f4 @ $false)|(x)|(f3 @ $true)|(epred1_0)))&((~(x)|~(f4 @ $true)|(f3 @ $true)|(epred1_0))&(~(f4 @ $false)|~(f4 @ $true)|(f3 @ $true)|(epred1_0))))&((f3 @ $false)|(f3 @ $true)|(epred1_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])).
% 0.21/0.38 thf(c_0_15, plain, ((f3 @ (($true)))|~((x))|~((f4 @ (($true))))|~((epred2_0))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.21/0.38 thf(c_0_16, plain, ((f4 @ (($true)))|(f3 @ (~($true)))|~((x))|~((epred2_0))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.21/0.38 thf(c_0_17, plain, ((epred7_0)<=>(((((epred5_0)|~(f1 @ $true))&((epred6_0)|~(f1 @ $false)))|~(f1 @ $true))&((((epred5_0)|(f1 @ $true))&((epred6_0)|(f1 @ $false)))|~(f1 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_4, c_0_5]), c_0_6]), c_0_5]), c_0_6])).
% 0.21/0.38 thf(c_0_18, plain, ((epred18_0)<=>(((((epred15_0)|~(f0 @ $true))&((epred16_0)|~(f0 @ $false)))|(f0 @ $true))&((((epred15_0)|(f0 @ $true))&((epred16_0)|(f0 @ $false)))|(f0 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_7, c_0_8]), c_0_9]), c_0_8]), c_0_9])).
% 0.21/0.38 thf(c_0_19, plain, ((epred3_0)<=>((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_20, plain, ((epred4_0)<=>((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f3 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_21, negated_conjecture, ~(((((epred7_0)|(f0 @ $true))&((epred8_0)|(f0 @ $false)))<=>(((epred17_0)|(f0 @ $true))&((epred18_0)|(f0 @ $false))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_10]), c_0_4]), c_0_11]), c_0_12]), c_0_7])).
% 0.21/0.38 thf(c_0_22, plain, ((epred8_0)<=>(((((epred5_0)|~(f1 @ $true))&((epred6_0)|~(f1 @ $false)))|(f1 @ $true))&((((epred5_0)|(f1 @ $true))&((epred6_0)|(f1 @ $false)))|(f1 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_11, c_0_5]), c_0_6]), c_0_5]), c_0_6])).
% 0.21/0.38 thf(c_0_23, plain, ((epred11_0)<=>((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|~(f3 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_24, plain, ((epred10_0)<=>((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_25, plain, ((epred12_0)<=>((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_26, plain, ((((~(x)|~(f4 @ $true)|~(f4 @ $true)|~(epred9_0))&((x)|~(f4 @ $false)|~(f4 @ $true)|~(epred9_0)))&((~(x)|(f4 @ $true)|~(f4 @ $false)|~(epred9_0))&((x)|(f4 @ $false)|~(f4 @ $false)|~(epred9_0))))&(((((((~(x)|(x)|(~(x)|(x))|(epred9_0))&(~(f4 @ $false)|(x)|(~(x)|(x))|(epred9_0)))&((~(x)|~(f4 @ $true)|(~(x)|(x))|(epred9_0))&(~(f4 @ $false)|~(f4 @ $true)|(~(x)|(x))|(epred9_0))))&((f4 @ $false)|(~(x)|(x))|(epred9_0)))&((((~(x)|(x)|((f4 @ $false)|(x))|(epred9_0))&(~(f4 @ $false)|(x)|((f4 @ $false)|(x))|(epred9_0)))&((~(x)|~(f4 @ $true)|((f4 @ $false)|(x))|(epred9_0))&(~(f4 @ $false)|~(f4 @ $true)|((f4 @ $false)|(x))|(epred9_0))))&((f4 @ $false)|((f4 @ $false)|(x))|(epred9_0))))&(((((~(x)|(x)|(~(x)|(f4 @ $true))|(epred9_0))&(~(f4 @ $false)|(x)|(~(x)|(f4 @ $true))|(epred9_0)))&((~(x)|~(f4 @ $true)|(~(x)|(f4 @ $true))|(epred9_0))&(~(f4 @ $false)|~(f4 @ $true)|(~(x)|(f4 @ $true))|(epred9_0))))&((f4 @ $false)|(~(x)|(f4 @ $true))|(epred9_0)))&((((~(x)|(x)|((f4 @ $false)|(f4 @ $true))|(epred9_0))&(~(f4 @ $false)|(x)|((f4 @ $false)|(f4 @ $true))|(epred9_0)))&((~(x)|~(f4 @ $true)|((f4 @ $false)|(f4 @ $true))|(epred9_0))&(~(f4 @ $false)|~(f4 @ $true)|((f4 @ $false)|(f4 @ $true))|(epred9_0))))&((f4 @ $false)|((f4 @ $false)|(f4 @ $true))|(epred9_0)))))&((((~(x)|(x)|(f4 @ $true)|(epred9_0))&(~(f4 @ $false)|(x)|(f4 @ $true)|(epred9_0)))&((~(x)|~(f4 @ $true)|(f4 @ $true)|(epred9_0))&(~(f4 @ $false)|~(f4 @ $true)|(f4 @ $true)|(epred9_0))))&((f4 @ $false)|(f4 @ $true)|(epred9_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])).
% 0.21/0.38 thf(c_0_27, plain, (~((x))|~((f4 @ (($true))))|~((f3 @ (($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.21/0.38 thf(c_0_28, plain, ((f4 @ (($true)))|~((x))|~((f3 @ (~($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.21/0.38 thf(c_0_29, plain, ((f3 @ (~($true)))|(f3 @ (($true)))|~((x))|~((epred2_0))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 0.21/0.38 thf(c_0_30, plain, (((((epred5_0)|~(f1 @ $true)|~(f1 @ $true)|~(epred7_0))&((epred6_0)|~(f1 @ $false)|~(f1 @ $true)|~(epred7_0)))&(((epred5_0)|(f1 @ $true)|~(f1 @ $false)|~(epred7_0))&((epred6_0)|(f1 @ $false)|~(f1 @ $false)|~(epred7_0))))&(((((((~(epred6_0)|~(epred5_0)|(~(epred6_0)|~(epred5_0))|(epred7_0))&(~(f1 @ $false)|~(epred5_0)|(~(epred6_0)|~(epred5_0))|(epred7_0)))&((~(epred6_0)|~(f1 @ $true)|(~(epred6_0)|~(epred5_0))|(epred7_0))&(~(f1 @ $false)|~(f1 @ $true)|(~(epred6_0)|~(epred5_0))|(epred7_0))))&((f1 @ $false)|(~(epred6_0)|~(epred5_0))|(epred7_0)))&((((~(epred6_0)|~(epred5_0)|((f1 @ $false)|~(epred5_0))|(epred7_0))&(~(f1 @ $false)|~(epred5_0)|((f1 @ $false)|~(epred5_0))|(epred7_0)))&((~(epred6_0)|~(f1 @ $true)|((f1 @ $false)|~(epred5_0))|(epred7_0))&(~(f1 @ $false)|~(f1 @ $true)|((f1 @ $false)|~(epred5_0))|(epred7_0))))&((f1 @ $false)|((f1 @ $false)|~(epred5_0))|(epred7_0))))&(((((~(epred6_0)|~(epred5_0)|(~(epred6_0)|(f1 @ $true))|(epred7_0))&(~(f1 @ $false)|~(epred5_0)|(~(epred6_0)|(f1 @ $true))|(epred7_0)))&((~(epred6_0)|~(f1 @ $true)|(~(epred6_0)|(f1 @ $true))|(epred7_0))&(~(f1 @ $false)|~(f1 @ $true)|(~(epred6_0)|(f1 @ $true))|(epred7_0))))&((f1 @ $false)|(~(epred6_0)|(f1 @ $true))|(epred7_0)))&((((~(epred6_0)|~(epred5_0)|((f1 @ $false)|(f1 @ $true))|(epred7_0))&(~(f1 @ $false)|~(epred5_0)|((f1 @ $false)|(f1 @ $true))|(epred7_0)))&((~(epred6_0)|~(f1 @ $true)|((f1 @ $false)|(f1 @ $true))|(epred7_0))&(~(f1 @ $false)|~(f1 @ $true)|((f1 @ $false)|(f1 @ $true))|(epred7_0))))&((f1 @ $false)|((f1 @ $false)|(f1 @ $true))|(epred7_0)))))&((((~(epred6_0)|~(epred5_0)|(f1 @ $true)|(epred7_0))&(~(f1 @ $false)|~(epred5_0)|(f1 @ $true)|(epred7_0)))&((~(epred6_0)|~(f1 @ $true)|(f1 @ $true)|(epred7_0))&(~(f1 @ $false)|~(f1 @ $true)|(f1 @ $true)|(epred7_0))))&((f1 @ $false)|(f1 @ $true)|(epred7_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
% 0.21/0.38 thf(c_0_31, plain, (((((epred15_0)|~(f0 @ $true)|(f0 @ $true)|~(epred18_0))&((epred16_0)|~(f0 @ $false)|(f0 @ $true)|~(epred18_0)))&(((epred15_0)|(f0 @ $true)|(f0 @ $false)|~(epred18_0))&((epred16_0)|(f0 @ $false)|(f0 @ $false)|~(epred18_0))))&(((((((~(epred16_0)|~(epred15_0)|(~(epred16_0)|~(epred15_0))|(epred18_0))&(~(f0 @ $false)|~(epred15_0)|(~(epred16_0)|~(epred15_0))|(epred18_0)))&((~(epred16_0)|~(f0 @ $true)|(~(epred16_0)|~(epred15_0))|(epred18_0))&(~(f0 @ $false)|~(f0 @ $true)|(~(epred16_0)|~(epred15_0))|(epred18_0))))&(~(f0 @ $false)|(~(epred16_0)|~(epred15_0))|(epred18_0)))&((((~(epred16_0)|~(epred15_0)|((f0 @ $false)|~(epred15_0))|(epred18_0))&(~(f0 @ $false)|~(epred15_0)|((f0 @ $false)|~(epred15_0))|(epred18_0)))&((~(epred16_0)|~(f0 @ $true)|((f0 @ $false)|~(epred15_0))|(epred18_0))&(~(f0 @ $false)|~(f0 @ $true)|((f0 @ $false)|~(epred15_0))|(epred18_0))))&(~(f0 @ $false)|((f0 @ $false)|~(epred15_0))|(epred18_0))))&(((((~(epred16_0)|~(epred15_0)|(~(epred16_0)|(f0 @ $true))|(epred18_0))&(~(f0 @ $false)|~(epred15_0)|(~(epred16_0)|(f0 @ $true))|(epred18_0)))&((~(epred16_0)|~(f0 @ $true)|(~(epred16_0)|(f0 @ $true))|(epred18_0))&(~(f0 @ $false)|~(f0 @ $true)|(~(epred16_0)|(f0 @ $true))|(epred18_0))))&(~(f0 @ $false)|(~(epred16_0)|(f0 @ $true))|(epred18_0)))&((((~(epred16_0)|~(epred15_0)|((f0 @ $false)|(f0 @ $true))|(epred18_0))&(~(f0 @ $false)|~(epred15_0)|((f0 @ $false)|(f0 @ $true))|(epred18_0)))&((~(epred16_0)|~(f0 @ $true)|((f0 @ $false)|(f0 @ $true))|(epred18_0))&(~(f0 @ $false)|~(f0 @ $true)|((f0 @ $false)|(f0 @ $true))|(epred18_0))))&(~(f0 @ $false)|((f0 @ $false)|(f0 @ $true))|(epred18_0)))))&((((~(epred16_0)|~(epred15_0)|~(f0 @ $true)|(epred18_0))&(~(f0 @ $false)|~(epred15_0)|~(f0 @ $true)|(epred18_0)))&((~(epred16_0)|~(f0 @ $true)|~(f0 @ $true)|(epred18_0))&(~(f0 @ $false)|~(f0 @ $true)|~(f0 @ $true)|(epred18_0))))&(~(f0 @ $false)|~(f0 @ $true)|(epred18_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
% 0.21/0.38 thf(c_0_32, plain, ((epred5_0)<=>(((((epred3_0)|~(f2 @ $true))&((epred4_0)|~(f2 @ $false)))|~(f1 @ $true))&((((epred3_0)|(f2 @ $true))&((epred4_0)|(f2 @ $false)))|~(f1 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5, c_0_19]), c_0_20]), c_0_19]), c_0_20])).
% 0.21/0.38 thf(c_0_33, negated_conjecture, ((((((~(epred18_0)|~(epred17_0)|(~(epred8_0)|~(epred7_0)))&(~(f0 @ $false)|~(epred17_0)|(~(epred8_0)|~(epred7_0))))&((~(epred18_0)|~(f0 @ $true)|(~(epred8_0)|~(epred7_0)))&(~(f0 @ $false)|~(f0 @ $true)|(~(epred8_0)|~(epred7_0)))))&(((~(epred18_0)|~(epred17_0)|(~(f0 @ $false)|~(epred7_0)))&(~(f0 @ $false)|~(epred17_0)|(~(f0 @ $false)|~(epred7_0))))&((~(epred18_0)|~(f0 @ $true)|(~(f0 @ $false)|~(epred7_0)))&(~(f0 @ $false)|~(f0 @ $true)|(~(f0 @ $false)|~(epred7_0))))))&((((~(epred18_0)|~(epred17_0)|(~(epred8_0)|~(f0 @ $true)))&(~(f0 @ $false)|~(epred17_0)|(~(epred8_0)|~(f0 @ $true))))&((~(epred18_0)|~(f0 @ $true)|(~(epred8_0)|~(f0 @ $true)))&(~(f0 @ $false)|~(f0 @ $true)|(~(epred8_0)|~(f0 @ $true)))))&(((~(epred18_0)|~(epred17_0)|(~(f0 @ $false)|~(f0 @ $true)))&(~(f0 @ $false)|~(epred17_0)|(~(f0 @ $false)|~(f0 @ $true))))&((~(epred18_0)|~(f0 @ $true)|(~(f0 @ $false)|~(f0 @ $true)))&(~(f0 @ $false)|~(f0 @ $true)|(~(f0 @ $false)|~(f0 @ $true)))))))&((((epred17_0)|(f0 @ $true)|((epred7_0)|(f0 @ $true)))&((epred18_0)|(f0 @ $false)|((epred7_0)|(f0 @ $true))))&(((epred17_0)|(f0 @ $true)|((epred8_0)|(f0 @ $false)))&((epred18_0)|(f0 @ $false)|((epred8_0)|(f0 @ $false)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])).
% 0.21/0.38 thf(c_0_34, plain, (((((epred5_0)|~(f1 @ $true)|(f1 @ $true)|~(epred8_0))&((epred6_0)|~(f1 @ $false)|(f1 @ $true)|~(epred8_0)))&(((epred5_0)|(f1 @ $true)|(f1 @ $false)|~(epred8_0))&((epred6_0)|(f1 @ $false)|(f1 @ $false)|~(epred8_0))))&(((((((~(epred6_0)|~(epred5_0)|(~(epred6_0)|~(epred5_0))|(epred8_0))&(~(f1 @ $false)|~(epred5_0)|(~(epred6_0)|~(epred5_0))|(epred8_0)))&((~(epred6_0)|~(f1 @ $true)|(~(epred6_0)|~(epred5_0))|(epred8_0))&(~(f1 @ $false)|~(f1 @ $true)|(~(epred6_0)|~(epred5_0))|(epred8_0))))&(~(f1 @ $false)|(~(epred6_0)|~(epred5_0))|(epred8_0)))&((((~(epred6_0)|~(epred5_0)|((f1 @ $false)|~(epred5_0))|(epred8_0))&(~(f1 @ $false)|~(epred5_0)|((f1 @ $false)|~(epred5_0))|(epred8_0)))&((~(epred6_0)|~(f1 @ $true)|((f1 @ $false)|~(epred5_0))|(epred8_0))&(~(f1 @ $false)|~(f1 @ $true)|((f1 @ $false)|~(epred5_0))|(epred8_0))))&(~(f1 @ $false)|((f1 @ $false)|~(epred5_0))|(epred8_0))))&(((((~(epred6_0)|~(epred5_0)|(~(epred6_0)|(f1 @ $true))|(epred8_0))&(~(f1 @ $false)|~(epred5_0)|(~(epred6_0)|(f1 @ $true))|(epred8_0)))&((~(epred6_0)|~(f1 @ $true)|(~(epred6_0)|(f1 @ $true))|(epred8_0))&(~(f1 @ $false)|~(f1 @ $true)|(~(epred6_0)|(f1 @ $true))|(epred8_0))))&(~(f1 @ $false)|(~(epred6_0)|(f1 @ $true))|(epred8_0)))&((((~(epred6_0)|~(epred5_0)|((f1 @ $false)|(f1 @ $true))|(epred8_0))&(~(f1 @ $false)|~(epred5_0)|((f1 @ $false)|(f1 @ $true))|(epred8_0)))&((~(epred6_0)|~(f1 @ $true)|((f1 @ $false)|(f1 @ $true))|(epred8_0))&(~(f1 @ $false)|~(f1 @ $true)|((f1 @ $false)|(f1 @ $true))|(epred8_0))))&(~(f1 @ $false)|((f1 @ $false)|(f1 @ $true))|(epred8_0)))))&((((~(epred6_0)|~(epred5_0)|~(f1 @ $true)|(epred8_0))&(~(f1 @ $false)|~(epred5_0)|~(f1 @ $true)|(epred8_0)))&((~(epred6_0)|~(f1 @ $true)|~(f1 @ $true)|(epred8_0))&(~(f1 @ $false)|~(f1 @ $true)|~(f1 @ $true)|(epred8_0))))&(~(f1 @ $false)|~(f1 @ $true)|(epred8_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])).
% 0.21/0.38 thf(c_0_35, plain, ((epred11_0)<=>(((((epred9_0)|~(f4 @ $true))&((epred10_0)|~(f4 @ $false)))|~(f3 @ $true))&((((epred9_0)|(f4 @ $true))&((epred10_0)|(f4 @ $false)))|~(f3 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23, c_0_13]), c_0_24]), c_0_13]), c_0_24])).
% 0.21/0.38 thf(c_0_36, plain, ((epred12_0)<=>(((((epred9_0)|~(f4 @ $true))&((epred10_0)|~(f4 @ $false)))|(f3 @ $true))&((((epred9_0)|(f4 @ $true))&((epred10_0)|(f4 @ $false)))|(f3 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_25, c_0_13]), c_0_24]), c_0_13]), c_0_24])).
% 0.21/0.38 thf(c_0_37, plain, ((f4 @ (~($true)))|(f4 @ (~($true)))|(x)|(epred9_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.21/0.38 thf(c_0_38, plain, ((epred13_0)<=>((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))), introduced(definition)).
% 0.21/0.38 thf(c_0_39, plain, ((x)|~((f4 @ (~($true))))|~((f3 @ (($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.21/0.38 thf(c_0_40, plain, ((x)|(f4 @ (~($true)))|~((f3 @ (~($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.21/0.38 thf(c_0_41, plain, (~((f3 @ (($true))))|~((f3 @ (~($true))))|~((x))|~((epred1_0))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 0.21/0.38 thf(c_0_42, plain, ((f3 @ (($true)))|~((x))|~((epred2_0))|~((epred1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_28]), c_0_29])).
% 0.21/0.38 thf(c_0_43, plain, ((epred4_0)<=>(((((epred1_0)|~(f3 @ $true))&((epred2_0)|~(f3 @ $false)))|(f3 @ $true))&((((epred1_0)|(f3 @ $true))&((epred2_0)|(f3 @ $false)))|(f3 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20, c_0_2]), c_0_1]), c_0_2]), c_0_1])).
% 0.21/0.38 thf(c_0_44, plain, ((x)|(epred2_0)|~((f4 @ (~($true))))|~((f3 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.21/0.38 thf(c_0_45, plain, ((f3 @ (~($true)))|(f4 @ (~($true)))|(x)|(epred1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.21/0.38 thf(c_0_46, plain, ((f3 @ (~($true)))|(f3 @ (($true)))|(epred1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.21/0.38 thf(c_0_47, plain, ((f1 @ (~($true)))|(f1 @ (~($true)))|(epred7_0)|~((epred5_0))), inference(split_conjunct,[status(thm)],[c_0_30])).
% 0.21/0.38 thf(c_0_48, plain, ((((~(x)|~(f4 @ $true)|(f4 @ $true)|~(epred10_0))&((x)|~(f4 @ $false)|(f4 @ $true)|~(epred10_0)))&((~(x)|(f4 @ $true)|(f4 @ $false)|~(epred10_0))&((x)|(f4 @ $false)|(f4 @ $false)|~(epred10_0))))&(((((((~(x)|(x)|(~(x)|(x))|(epred10_0))&(~(f4 @ $false)|(x)|(~(x)|(x))|(epred10_0)))&((~(x)|~(f4 @ $true)|(~(x)|(x))|(epred10_0))&(~(f4 @ $false)|~(f4 @ $true)|(~(x)|(x))|(epred10_0))))&(~(f4 @ $false)|(~(x)|(x))|(epred10_0)))&((((~(x)|(x)|((f4 @ $false)|(x))|(epred10_0))&(~(f4 @ $false)|(x)|((f4 @ $false)|(x))|(epred10_0)))&((~(x)|~(f4 @ $true)|((f4 @ $false)|(x))|(epred10_0))&(~(f4 @ $false)|~(f4 @ $true)|((f4 @ $false)|(x))|(epred10_0))))&(~(f4 @ $false)|((f4 @ $false)|(x))|(epred10_0))))&(((((~(x)|(x)|(~(x)|(f4 @ $true))|(epred10_0))&(~(f4 @ $false)|(x)|(~(x)|(f4 @ $true))|(epred10_0)))&((~(x)|~(f4 @ $true)|(~(x)|(f4 @ $true))|(epred10_0))&(~(f4 @ $false)|~(f4 @ $true)|(~(x)|(f4 @ $true))|(epred10_0))))&(~(f4 @ $false)|(~(x)|(f4 @ $true))|(epred10_0)))&((((~(x)|(x)|((f4 @ $false)|(f4 @ $true))|(epred10_0))&(~(f4 @ $false)|(x)|((f4 @ $false)|(f4 @ $true))|(epred10_0)))&((~(x)|~(f4 @ $true)|((f4 @ $false)|(f4 @ $true))|(epred10_0))&(~(f4 @ $false)|~(f4 @ $true)|((f4 @ $false)|(f4 @ $true))|(epred10_0))))&(~(f4 @ $false)|((f4 @ $false)|(f4 @ $true))|(epred10_0)))))&((((~(x)|(x)|~(f4 @ $true)|(epred10_0))&(~(f4 @ $false)|(x)|~(f4 @ $true)|(epred10_0)))&((~(x)|~(f4 @ $true)|~(f4 @ $true)|(epred10_0))&(~(f4 @ $false)|~(f4 @ $true)|~(f4 @ $true)|(epred10_0))))&(~(f4 @ $false)|~(f4 @ $true)|(epred10_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])).
% 0.92/0.38 thf(c_0_49, plain, ((epred17_0)<=>(((((epred15_0)|~(f0 @ $true))&((epred16_0)|~(f0 @ $false)))|~(f0 @ $true))&((((epred15_0)|(f0 @ $true))&((epred16_0)|(f0 @ $false)))|~(f0 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12, c_0_8]), c_0_9]), c_0_8]), c_0_9])).
% 0.92/0.38 thf(c_0_50, plain, ((epred18_0)|~((epred16_0))|~((f0 @ (($true))))|~((f0 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_31])).
% 0.92/0.38 thf(c_0_51, plain, (((((epred3_0)|~(f2 @ $true)|~(f1 @ $true)|~(epred5_0))&((epred4_0)|~(f2 @ $false)|~(f1 @ $true)|~(epred5_0)))&(((epred3_0)|(f2 @ $true)|~(f1 @ $false)|~(epred5_0))&((epred4_0)|(f2 @ $false)|~(f1 @ $false)|~(epred5_0))))&(((((((~(epred4_0)|~(epred3_0)|(~(epred4_0)|~(epred3_0))|(epred5_0))&(~(f2 @ $false)|~(epred3_0)|(~(epred4_0)|~(epred3_0))|(epred5_0)))&((~(epred4_0)|~(f2 @ $true)|(~(epred4_0)|~(epred3_0))|(epred5_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred4_0)|~(epred3_0))|(epred5_0))))&((f1 @ $false)|(~(epred4_0)|~(epred3_0))|(epred5_0)))&((((~(epred4_0)|~(epred3_0)|((f2 @ $false)|~(epred3_0))|(epred5_0))&(~(f2 @ $false)|~(epred3_0)|((f2 @ $false)|~(epred3_0))|(epred5_0)))&((~(epred4_0)|~(f2 @ $true)|((f2 @ $false)|~(epred3_0))|(epred5_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|~(epred3_0))|(epred5_0))))&((f1 @ $false)|((f2 @ $false)|~(epred3_0))|(epred5_0))))&(((((~(epred4_0)|~(epred3_0)|(~(epred4_0)|(f2 @ $true))|(epred5_0))&(~(f2 @ $false)|~(epred3_0)|(~(epred4_0)|(f2 @ $true))|(epred5_0)))&((~(epred4_0)|~(f2 @ $true)|(~(epred4_0)|(f2 @ $true))|(epred5_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred4_0)|(f2 @ $true))|(epred5_0))))&((f1 @ $false)|(~(epred4_0)|(f2 @ $true))|(epred5_0)))&((((~(epred4_0)|~(epred3_0)|((f2 @ $false)|(f2 @ $true))|(epred5_0))&(~(f2 @ $false)|~(epred3_0)|((f2 @ $false)|(f2 @ $true))|(epred5_0)))&((~(epred4_0)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred5_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred5_0))))&((f1 @ $false)|((f2 @ $false)|(f2 @ $true))|(epred5_0)))))&((((~(epred4_0)|~(epred3_0)|(f1 @ $true)|(epred5_0))&(~(f2 @ $false)|~(epred3_0)|(f1 @ $true)|(epred5_0)))&((~(epred4_0)|~(f2 @ $true)|(f1 @ $true)|(epred5_0))&(~(f2 @ $false)|~(f2 @ $true)|(f1 @ $true)|(epred5_0))))&((f1 @ $false)|(f1 @ $true)|(epred5_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])).
% 0.92/0.38 thf(c_0_52, plain, ((epred5_0)|~((f1 @ (($true))))|~((f1 @ (($true))))|~((epred7_0))), inference(split_conjunct,[status(thm)],[c_0_30])).
% 0.92/0.38 thf(c_0_53, negated_conjecture, (~((epred18_0))|~((f0 @ (($true))))|~((epred8_0))|~((f0 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_33])).
% 0.92/0.38 thf(c_0_54, negated_conjecture, ((epred17_0)|(f0 @ (($true)))|(epred7_0)|(f0 @ (($true)))), inference(split_conjunct,[status(thm)],[c_0_33])).
% 0.92/0.38 thf(c_0_55, plain, ((epred8_0)|~((epred6_0))|~((f1 @ (($true))))|~((f1 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_34])).
% 0.92/0.38 thf(c_0_56, plain, ((epred14_0)<=>((((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|~(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|~(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|~(f4 @ $false)))|(f3 @ $true))&(((((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|~(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|~(f4 @ $false)))|(f4 @ $true))&(((((~(x)|~(f4 @ $true))&((x)|~(f4 @ $false)))|(f4 @ $true))&(((~(x)|(f4 @ $true))&((x)|(f4 @ $false)))|(f4 @ $false)))|(f4 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))), introduced(definition)).
% 0.92/0.38 thf(c_0_57, plain, (((((epred9_0)|~(f4 @ $true)|~(f3 @ $true)|~(epred11_0))&((epred10_0)|~(f4 @ $false)|~(f3 @ $true)|~(epred11_0)))&(((epred9_0)|(f4 @ $true)|~(f3 @ $false)|~(epred11_0))&((epred10_0)|(f4 @ $false)|~(f3 @ $false)|~(epred11_0))))&(((((((~(epred10_0)|~(epred9_0)|(~(epred10_0)|~(epred9_0))|(epred11_0))&(~(f4 @ $false)|~(epred9_0)|(~(epred10_0)|~(epred9_0))|(epred11_0)))&((~(epred10_0)|~(f4 @ $true)|(~(epred10_0)|~(epred9_0))|(epred11_0))&(~(f4 @ $false)|~(f4 @ $true)|(~(epred10_0)|~(epred9_0))|(epred11_0))))&((f3 @ $false)|(~(epred10_0)|~(epred9_0))|(epred11_0)))&((((~(epred10_0)|~(epred9_0)|((f4 @ $false)|~(epred9_0))|(epred11_0))&(~(f4 @ $false)|~(epred9_0)|((f4 @ $false)|~(epred9_0))|(epred11_0)))&((~(epred10_0)|~(f4 @ $true)|((f4 @ $false)|~(epred9_0))|(epred11_0))&(~(f4 @ $false)|~(f4 @ $true)|((f4 @ $false)|~(epred9_0))|(epred11_0))))&((f3 @ $false)|((f4 @ $false)|~(epred9_0))|(epred11_0))))&(((((~(epred10_0)|~(epred9_0)|(~(epred10_0)|(f4 @ $true))|(epred11_0))&(~(f4 @ $false)|~(epred9_0)|(~(epred10_0)|(f4 @ $true))|(epred11_0)))&((~(epred10_0)|~(f4 @ $true)|(~(epred10_0)|(f4 @ $true))|(epred11_0))&(~(f4 @ $false)|~(f4 @ $true)|(~(epred10_0)|(f4 @ $true))|(epred11_0))))&((f3 @ $false)|(~(epred10_0)|(f4 @ $true))|(epred11_0)))&((((~(epred10_0)|~(epred9_0)|((f4 @ $false)|(f4 @ $true))|(epred11_0))&(~(f4 @ $false)|~(epred9_0)|((f4 @ $false)|(f4 @ $true))|(epred11_0)))&((~(epred10_0)|~(f4 @ $true)|((f4 @ $false)|(f4 @ $true))|(epred11_0))&(~(f4 @ $false)|~(f4 @ $true)|((f4 @ $false)|(f4 @ $true))|(epred11_0))))&((f3 @ $false)|((f4 @ $false)|(f4 @ $true))|(epred11_0)))))&((((~(epred10_0)|~(epred9_0)|(f3 @ $true)|(epred11_0))&(~(f4 @ $false)|~(epred9_0)|(f3 @ $true)|(epred11_0)))&((~(epred10_0)|~(f4 @ $true)|(f3 @ $true)|(epred11_0))&(~(f4 @ $false)|~(f4 @ $true)|(f3 @ $true)|(epred11_0))))&((f3 @ $false)|(f3 @ $true)|(epred11_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])).
% 0.92/0.38 thf(c_0_58, plain, (((((epred9_0)|~(f4 @ $true)|(f3 @ $true)|~(epred12_0))&((epred10_0)|~(f4 @ $false)|(f3 @ $true)|~(epred12_0)))&(((epred9_0)|(f4 @ $true)|(f3 @ $false)|~(epred12_0))&((epred10_0)|(f4 @ $false)|(f3 @ $false)|~(epred12_0))))&(((((((~(epred10_0)|~(epred9_0)|(~(epred10_0)|~(epred9_0))|(epred12_0))&(~(f4 @ $false)|~(epred9_0)|(~(epred10_0)|~(epred9_0))|(epred12_0)))&((~(epred10_0)|~(f4 @ $true)|(~(epred10_0)|~(epred9_0))|(epred12_0))&(~(f4 @ $false)|~(f4 @ $true)|(~(epred10_0)|~(epred9_0))|(epred12_0))))&(~(f3 @ $false)|(~(epred10_0)|~(epred9_0))|(epred12_0)))&((((~(epred10_0)|~(epred9_0)|((f4 @ $false)|~(epred9_0))|(epred12_0))&(~(f4 @ $false)|~(epred9_0)|((f4 @ $false)|~(epred9_0))|(epred12_0)))&((~(epred10_0)|~(f4 @ $true)|((f4 @ $false)|~(epred9_0))|(epred12_0))&(~(f4 @ $false)|~(f4 @ $true)|((f4 @ $false)|~(epred9_0))|(epred12_0))))&(~(f3 @ $false)|((f4 @ $false)|~(epred9_0))|(epred12_0))))&(((((~(epred10_0)|~(epred9_0)|(~(epred10_0)|(f4 @ $true))|(epred12_0))&(~(f4 @ $false)|~(epred9_0)|(~(epred10_0)|(f4 @ $true))|(epred12_0)))&((~(epred10_0)|~(f4 @ $true)|(~(epred10_0)|(f4 @ $true))|(epred12_0))&(~(f4 @ $false)|~(f4 @ $true)|(~(epred10_0)|(f4 @ $true))|(epred12_0))))&(~(f3 @ $false)|(~(epred10_0)|(f4 @ $true))|(epred12_0)))&((((~(epred10_0)|~(epred9_0)|((f4 @ $false)|(f4 @ $true))|(epred12_0))&(~(f4 @ $false)|~(epred9_0)|((f4 @ $false)|(f4 @ $true))|(epred12_0)))&((~(epred10_0)|~(f4 @ $true)|((f4 @ $false)|(f4 @ $true))|(epred12_0))&(~(f4 @ $false)|~(f4 @ $true)|((f4 @ $false)|(f4 @ $true))|(epred12_0))))&(~(f3 @ $false)|((f4 @ $false)|(f4 @ $true))|(epred12_0)))))&((((~(epred10_0)|~(epred9_0)|~(f3 @ $true)|(epred12_0))&(~(f4 @ $false)|~(epred9_0)|~(f3 @ $true)|(epred12_0)))&((~(epred10_0)|~(f4 @ $true)|~(f3 @ $true)|(epred12_0))&(~(f4 @ $false)|~(f4 @ $true)|~(f3 @ $true)|(epred12_0))))&(~(f3 @ $false)|~(f3 @ $true)|(epred12_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])).
% 0.92/0.38 thf(c_0_59, plain, ((x)|(f4 @ (($true)))|(epred9_0)|~((f4 @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.92/0.38 thf(c_0_60, plain, ((x)|(epred9_0)|(f4 @ (~($true)))), inference(cn,[status(thm)],[c_0_37])).
% 0.92/0.38 thf(c_0_61, plain, ((epred13_0)<=>(((((epred11_0)|~(f2 @ $true))&((epred12_0)|~(f2 @ $false)))|~(f2 @ $true))&((((epred11_0)|(f2 @ $true))&((epred12_0)|(f2 @ $false)))|~(f2 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_38, c_0_23]), c_0_25]), c_0_23]), c_0_25])).
% 0.92/0.38 thf(c_0_62, plain, ((x)|(f3 @ (($true)))|~((f4 @ (~($true))))|~((epred2_0))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.92/0.38 thf(c_0_63, plain, ((x)|(f4 @ (~($true)))|(f3 @ (~($true)))|~((epred2_0))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.92/0.38 thf(c_0_64, plain, (~((f3 @ (($true))))|~((f3 @ (~($true))))|~((epred1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])).
% 0.92/0.38 thf(c_0_65, plain, ((f3 @ (~($true)))|~((x))|~((epred1_0))|~((epred2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_16]), c_0_42])).
% 0.92/0.38 thf(c_0_66, plain, (((((epred1_0)|~(f3 @ $true)|(f3 @ $true)|~(epred4_0))&((epred2_0)|~(f3 @ $false)|(f3 @ $true)|~(epred4_0)))&(((epred1_0)|(f3 @ $true)|(f3 @ $false)|~(epred4_0))&((epred2_0)|(f3 @ $false)|(f3 @ $false)|~(epred4_0))))&(((((((~(epred2_0)|~(epred1_0)|(~(epred2_0)|~(epred1_0))|(epred4_0))&(~(f3 @ $false)|~(epred1_0)|(~(epred2_0)|~(epred1_0))|(epred4_0)))&((~(epred2_0)|~(f3 @ $true)|(~(epred2_0)|~(epred1_0))|(epred4_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(epred2_0)|~(epred1_0))|(epred4_0))))&(~(f3 @ $false)|(~(epred2_0)|~(epred1_0))|(epred4_0)))&((((~(epred2_0)|~(epred1_0)|((f3 @ $false)|~(epred1_0))|(epred4_0))&(~(f3 @ $false)|~(epred1_0)|((f3 @ $false)|~(epred1_0))|(epred4_0)))&((~(epred2_0)|~(f3 @ $true)|((f3 @ $false)|~(epred1_0))|(epred4_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|~(epred1_0))|(epred4_0))))&(~(f3 @ $false)|((f3 @ $false)|~(epred1_0))|(epred4_0))))&(((((~(epred2_0)|~(epred1_0)|(~(epred2_0)|(f3 @ $true))|(epred4_0))&(~(f3 @ $false)|~(epred1_0)|(~(epred2_0)|(f3 @ $true))|(epred4_0)))&((~(epred2_0)|~(f3 @ $true)|(~(epred2_0)|(f3 @ $true))|(epred4_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(epred2_0)|(f3 @ $true))|(epred4_0))))&(~(f3 @ $false)|(~(epred2_0)|(f3 @ $true))|(epred4_0)))&((((~(epred2_0)|~(epred1_0)|((f3 @ $false)|(f3 @ $true))|(epred4_0))&(~(f3 @ $false)|~(epred1_0)|((f3 @ $false)|(f3 @ $true))|(epred4_0)))&((~(epred2_0)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred4_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred4_0))))&(~(f3 @ $false)|((f3 @ $false)|(f3 @ $true))|(epred4_0)))))&((((~(epred2_0)|~(epred1_0)|~(f3 @ $true)|(epred4_0))&(~(f3 @ $false)|~(epred1_0)|~(f3 @ $true)|(epred4_0)))&((~(epred2_0)|~(f3 @ $true)|~(f3 @ $true)|(epred4_0))&(~(f3 @ $false)|~(f3 @ $true)|~(f3 @ $true)|(epred4_0))))&(~(f3 @ $false)|~(f3 @ $true)|(epred4_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])).
% 0.92/0.38 thf(c_0_67, plain, ((epred2_0)|~((f3 @ (~($true))))|~((f3 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.92/0.38 thf(c_0_68, plain, ((f3 @ (~($true)))|(epred1_0)|(epred2_0)|(x)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46])).
% 0.92/0.38 thf(c_0_69, plain, ((epred16_0)|(f0 @ (~($true)))|(f0 @ (~($true)))|~((epred18_0))), inference(split_conjunct,[status(thm)],[c_0_31])).
% 0.92/0.38 thf(c_0_70, negated_conjecture, (~((f0 @ (~($true))))|~((epred17_0))|~((f0 @ (~($true))))|~((epred7_0))), inference(split_conjunct,[status(thm)],[c_0_33])).
% 0.92/0.38 thf(c_0_71, negated_conjecture, ((epred18_0)|(f0 @ (~($true)))|(epred8_0)|(f0 @ (~($true)))), inference(split_conjunct,[status(thm)],[c_0_33])).
% 0.92/0.38 thf(c_0_72, plain, ((f1 @ (($true)))|(epred7_0)|~((f1 @ (~($true))))|~((epred5_0))), inference(split_conjunct,[status(thm)],[c_0_30])).
% 0.92/0.38 thf(c_0_73, plain, ((epred7_0)|(f1 @ (~($true)))|~((epred5_0))), inference(cn,[status(thm)],[c_0_47])).
% 0.92/0.38 thf(c_0_74, plain, ((x)|(f4 @ (~($true)))|(f4 @ (~($true)))|~((epred10_0))), inference(split_conjunct,[status(thm)],[c_0_48])).
% 0.92/0.38 thf(c_0_75, plain, (((((epred15_0)|~(f0 @ $true)|~(f0 @ $true)|~(epred17_0))&((epred16_0)|~(f0 @ $false)|~(f0 @ $true)|~(epred17_0)))&(((epred15_0)|(f0 @ $true)|~(f0 @ $false)|~(epred17_0))&((epred16_0)|(f0 @ $false)|~(f0 @ $false)|~(epred17_0))))&(((((((~(epred16_0)|~(epred15_0)|(~(epred16_0)|~(epred15_0))|(epred17_0))&(~(f0 @ $false)|~(epred15_0)|(~(epred16_0)|~(epred15_0))|(epred17_0)))&((~(epred16_0)|~(f0 @ $true)|(~(epred16_0)|~(epred15_0))|(epred17_0))&(~(f0 @ $false)|~(f0 @ $true)|(~(epred16_0)|~(epred15_0))|(epred17_0))))&((f0 @ $false)|(~(epred16_0)|~(epred15_0))|(epred17_0)))&((((~(epred16_0)|~(epred15_0)|((f0 @ $false)|~(epred15_0))|(epred17_0))&(~(f0 @ $false)|~(epred15_0)|((f0 @ $false)|~(epred15_0))|(epred17_0)))&((~(epred16_0)|~(f0 @ $true)|((f0 @ $false)|~(epred15_0))|(epred17_0))&(~(f0 @ $false)|~(f0 @ $true)|((f0 @ $false)|~(epred15_0))|(epred17_0))))&((f0 @ $false)|((f0 @ $false)|~(epred15_0))|(epred17_0))))&(((((~(epred16_0)|~(epred15_0)|(~(epred16_0)|(f0 @ $true))|(epred17_0))&(~(f0 @ $false)|~(epred15_0)|(~(epred16_0)|(f0 @ $true))|(epred17_0)))&((~(epred16_0)|~(f0 @ $true)|(~(epred16_0)|(f0 @ $true))|(epred17_0))&(~(f0 @ $false)|~(f0 @ $true)|(~(epred16_0)|(f0 @ $true))|(epred17_0))))&((f0 @ $false)|(~(epred16_0)|(f0 @ $true))|(epred17_0)))&((((~(epred16_0)|~(epred15_0)|((f0 @ $false)|(f0 @ $true))|(epred17_0))&(~(f0 @ $false)|~(epred15_0)|((f0 @ $false)|(f0 @ $true))|(epred17_0)))&((~(epred16_0)|~(f0 @ $true)|((f0 @ $false)|(f0 @ $true))|(epred17_0))&(~(f0 @ $false)|~(f0 @ $true)|((f0 @ $false)|(f0 @ $true))|(epred17_0))))&((f0 @ $false)|((f0 @ $false)|(f0 @ $true))|(epred17_0)))))&((((~(epred16_0)|~(epred15_0)|(f0 @ $true)|(epred17_0))&(~(f0 @ $false)|~(epred15_0)|(f0 @ $true)|(epred17_0)))&((~(epred16_0)|~(f0 @ $true)|(f0 @ $true)|(epred17_0))&(~(f0 @ $false)|~(f0 @ $true)|(f0 @ $true)|(epred17_0))))&((f0 @ $false)|(f0 @ $true)|(epred17_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])).
% 0.92/0.38 thf(c_0_76, negated_conjecture, (~((f0 @ (~($true))))|~((f0 @ (($true))))|~((f0 @ (~($true))))|~((f0 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_33])).
% 0.92/0.38 thf(c_0_77, plain, ((f0 @ (($true)))|(epred18_0)|~((f0 @ (~($true))))|~((epred16_0))), inference(split_conjunct,[status(thm)],[c_0_31])).
% 0.92/0.38 thf(c_0_78, plain, ((epred18_0)|~((epred16_0))|~((f0 @ (($true))))), inference(cn,[status(thm)],[c_0_50])).
% 0.92/0.38 thf(c_0_79, plain, ((epred5_0)|(f1 @ (($true)))|~((f1 @ (~($true))))|~((epred7_0))), inference(split_conjunct,[status(thm)],[c_0_30])).
% 0.92/0.38 thf(c_0_80, plain, ((f1 @ (~($true)))|(f1 @ (($true)))|(epred5_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
% 0.92/0.38 thf(c_0_81, plain, ((epred5_0)|~((epred7_0))|~((f1 @ (($true))))), inference(cn,[status(thm)],[c_0_52])).
% 0.92/0.38 thf(c_0_82, negated_conjecture, (~((epred8_0))|~((epred18_0))|~((f0 @ (($true))))), inference(cn,[status(thm)],[c_0_53])).
% 0.92/0.38 thf(c_0_83, negated_conjecture, ((epred7_0)|(epred17_0)|(f0 @ (($true)))), inference(cn,[status(thm)],[c_0_54])).
% 0.92/0.38 thf(c_0_84, plain, ((f1 @ (($true)))|(epred8_0)|~((f1 @ (~($true))))|~((epred6_0))), inference(split_conjunct,[status(thm)],[c_0_34])).
% 0.92/0.38 thf(c_0_85, plain, ((epred8_0)|~((epred6_0))|~((f1 @ (($true))))), inference(cn,[status(thm)],[c_0_55])).
% 0.92/0.38 thf(c_0_86, plain, ((epred16_0)<=>(((((epred13_0)|~(f2 @ $true))&((epred14_0)|~(f2 @ $false)))|(f1 @ $true))&((((epred13_0)|(f2 @ $true))&((epred14_0)|(f2 @ $false)))|(f1 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_9, c_0_38]), c_0_56]), c_0_38]), c_0_56])).
% 0.92/0.38 thf(c_0_87, plain, ((epred15_0)<=>(((((epred13_0)|~(f2 @ $true))&((epred14_0)|~(f2 @ $false)))|~(f1 @ $true))&((((epred13_0)|(f2 @ $true))&((epred14_0)|(f2 @ $false)))|~(f1 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8, c_0_38]), c_0_56]), c_0_38]), c_0_56])).
% 0.92/0.38 thf(c_0_88, plain, ((epred14_0)<=>(((((epred11_0)|~(f2 @ $true))&((epred12_0)|~(f2 @ $false)))|(f2 @ $true))&((((epred11_0)|(f2 @ $true))&((epred12_0)|(f2 @ $false)))|(f2 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_56, c_0_23]), c_0_25]), c_0_23]), c_0_25])).
% 0.92/0.38 thf(c_0_89, plain, ((f3 @ (($true)))|(epred11_0)|~((epred10_0))|~((f4 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_57])).
% 0.92/0.38 thf(c_0_90, plain, ((f4 @ (($true)))|(epred12_0)|~((f3 @ (~($true))))|~((epred10_0))), inference(split_conjunct,[status(thm)],[c_0_58])).
% 0.92/0.38 thf(c_0_91, plain, ((f3 @ (~($true)))|(f3 @ (($true)))|(epred11_0)), inference(split_conjunct,[status(thm)],[c_0_57])).
% 0.92/0.38 thf(c_0_92, plain, ((f4 @ (($true)))|(epred10_0)|~((f4 @ (~($true))))|~((x))), inference(split_conjunct,[status(thm)],[c_0_48])).
% 0.92/0.38 thf(c_0_93, plain, ((epred10_0)|~((f4 @ (~($true))))|~((f4 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_48])).
% 0.92/0.38 thf(c_0_94, plain, ((f4 @ (($true)))|(epred9_0)|(x)), inference(csr,[status(thm)],[c_0_59, c_0_60])).
% 0.92/0.38 thf(c_0_95, plain, (((((epred11_0)|~(f2 @ $true)|~(f2 @ $true)|~(epred13_0))&((epred12_0)|~(f2 @ $false)|~(f2 @ $true)|~(epred13_0)))&(((epred11_0)|(f2 @ $true)|~(f2 @ $false)|~(epred13_0))&((epred12_0)|(f2 @ $false)|~(f2 @ $false)|~(epred13_0))))&(((((((~(epred12_0)|~(epred11_0)|(~(epred12_0)|~(epred11_0))|(epred13_0))&(~(f2 @ $false)|~(epred11_0)|(~(epred12_0)|~(epred11_0))|(epred13_0)))&((~(epred12_0)|~(f2 @ $true)|(~(epred12_0)|~(epred11_0))|(epred13_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred12_0)|~(epred11_0))|(epred13_0))))&((f2 @ $false)|(~(epred12_0)|~(epred11_0))|(epred13_0)))&((((~(epred12_0)|~(epred11_0)|((f2 @ $false)|~(epred11_0))|(epred13_0))&(~(f2 @ $false)|~(epred11_0)|((f2 @ $false)|~(epred11_0))|(epred13_0)))&((~(epred12_0)|~(f2 @ $true)|((f2 @ $false)|~(epred11_0))|(epred13_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|~(epred11_0))|(epred13_0))))&((f2 @ $false)|((f2 @ $false)|~(epred11_0))|(epred13_0))))&(((((~(epred12_0)|~(epred11_0)|(~(epred12_0)|(f2 @ $true))|(epred13_0))&(~(f2 @ $false)|~(epred11_0)|(~(epred12_0)|(f2 @ $true))|(epred13_0)))&((~(epred12_0)|~(f2 @ $true)|(~(epred12_0)|(f2 @ $true))|(epred13_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred12_0)|(f2 @ $true))|(epred13_0))))&((f2 @ $false)|(~(epred12_0)|(f2 @ $true))|(epred13_0)))&((((~(epred12_0)|~(epred11_0)|((f2 @ $false)|(f2 @ $true))|(epred13_0))&(~(f2 @ $false)|~(epred11_0)|((f2 @ $false)|(f2 @ $true))|(epred13_0)))&((~(epred12_0)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred13_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred13_0))))&((f2 @ $false)|((f2 @ $false)|(f2 @ $true))|(epred13_0)))))&((((~(epred12_0)|~(epred11_0)|(f2 @ $true)|(epred13_0))&(~(f2 @ $false)|~(epred11_0)|(f2 @ $true)|(epred13_0)))&((~(epred12_0)|~(f2 @ $true)|(f2 @ $true)|(epred13_0))&(~(f2 @ $false)|~(f2 @ $true)|(f2 @ $true)|(epred13_0))))&((f2 @ $false)|(f2 @ $true)|(epred13_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])).
% 0.92/0.38 thf(c_0_96, plain, ((f3 @ (~($true)))|(f3 @ (($true)))|~((epred2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_29])).
% 0.92/0.38 thf(c_0_97, plain, (~((epred1_0))|~((x))|~((epred2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_42])).
% 0.92/0.38 thf(c_0_98, plain, ((epred2_0)|(f3 @ (~($true)))|(f3 @ (~($true)))|~((epred4_0))), inference(split_conjunct,[status(thm)],[c_0_66])).
% 0.92/0.38 thf(c_0_99, plain, ((epred3_0)<=>(((((epred1_0)|~(f3 @ $true))&((epred2_0)|~(f3 @ $false)))|~(f3 @ $true))&((((epred1_0)|(f3 @ $true))&((epred2_0)|(f3 @ $false)))|~(f3 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_19, c_0_2]), c_0_1]), c_0_2]), c_0_1])).
% 0.92/0.38 thf(c_0_100, plain, ((epred2_0)|~((x))|~((f4 @ (($true))))|~((f3 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.92/0.38 thf(c_0_101, plain, ((f3 @ (~($true)))|(f4 @ (($true)))|(epred1_0)|~((x))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.92/0.38 thf(c_0_102, plain, ((x)|(epred1_0)|(epred2_0)|~((f3 @ (($true))))), inference(spm,[status(thm)],[c_0_67, c_0_68])).
% 0.92/0.38 thf(c_0_103, plain, ((epred6_0)<=>(((((epred3_0)|~(f2 @ $true))&((epred4_0)|~(f2 @ $false)))|(f1 @ $true))&((((epred3_0)|(f2 @ $true))&((epred4_0)|(f2 @ $false)))|(f1 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_6, c_0_19]), c_0_20]), c_0_19]), c_0_20])).
% 0.92/0.38 thf(c_0_104, plain, ((epred6_0)|(f1 @ (~($true)))|(f1 @ (~($true)))|~((epred8_0))), inference(split_conjunct,[status(thm)],[c_0_34])).
% 0.92/0.38 thf(c_0_105, plain, ((epred16_0)|(f0 @ (($true)))|~((f0 @ (~($true))))|~((epred18_0))), inference(split_conjunct,[status(thm)],[c_0_31])).
% 0.92/0.38 thf(c_0_106, plain, ((epred16_0)|(f0 @ (~($true)))|~((epred18_0))), inference(cn,[status(thm)],[c_0_69])).
% 0.92/0.38 thf(c_0_107, negated_conjecture, (~((epred7_0))|~((epred17_0))|~((f0 @ (~($true))))), inference(cn,[status(thm)],[c_0_70])).
% 0.92/0.38 thf(c_0_108, negated_conjecture, ((epred8_0)|(epred18_0)|(f0 @ (~($true)))), inference(cn,[status(thm)],[c_0_71])).
% 0.92/0.38 thf(c_0_109, plain, ((epred8_0)|~((f1 @ (~($true))))|~((f1 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_34])).
% 0.92/0.38 thf(c_0_110, plain, ((f1 @ (($true)))|(epred7_0)|~((epred5_0))), inference(csr,[status(thm)],[c_0_72, c_0_73])).
% 0.92/0.38 thf(c_0_111, plain, ((x)|(f4 @ (($true)))|~((f4 @ (~($true))))|~((epred10_0))), inference(split_conjunct,[status(thm)],[c_0_48])).
% 0.92/0.38 thf(c_0_112, plain, ((x)|(f4 @ (~($true)))|~((epred10_0))), inference(cn,[status(thm)],[c_0_74])).
% 0.92/0.38 thf(c_0_113, plain, ((epred15_0)|(f0 @ (($true)))|~((f0 @ (~($true))))|~((epred17_0))), inference(split_conjunct,[status(thm)],[c_0_75])).
% 0.92/0.38 thf(c_0_114, negated_conjecture, (~((f0 @ (($true))))|~((f0 @ (~($true))))), inference(cn,[status(thm)],[c_0_76])).
% 0.92/0.38 thf(c_0_115, plain, ((epred15_0)|~((f0 @ (($true))))|~((f0 @ (($true))))|~((epred17_0))), inference(split_conjunct,[status(thm)],[c_0_75])).
% 0.92/0.38 thf(c_0_116, plain, ((epred18_0)|~((f0 @ (~($true))))|~((epred16_0))), inference(csr,[status(thm)],[c_0_77, c_0_78])).
% 0.92/0.38 thf(c_0_117, negated_conjecture, ((epred18_0)|(f0 @ (~($true)))|(epred7_0)|(f0 @ (($true)))), inference(split_conjunct,[status(thm)],[c_0_33])).
% 0.92/0.38 thf(c_0_118, plain, ((epred5_0)|~((epred7_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_79, c_0_80]), c_0_81])).
% 0.92/0.38 thf(c_0_119, negated_conjecture, ((epred17_0)|(epred7_0)|~((epred8_0))|~((epred18_0))), inference(spm,[status(thm)],[c_0_82, c_0_83])).
% 0.92/0.38 thf(c_0_120, negated_conjecture, ((epred17_0)|(epred7_0)|(epred18_0)|~((epred16_0))), inference(spm,[status(thm)],[c_0_78, c_0_83])).
% 0.92/0.38 thf(c_0_121, plain, ((epred8_0)|~((f1 @ (~($true))))|~((epred6_0))), inference(csr,[status(thm)],[c_0_84, c_0_85])).
% 0.92/0.38 thf(c_0_122, plain, ((f1 @ (~($true)))|(f1 @ (($true)))|(epred7_0)), inference(split_conjunct,[status(thm)],[c_0_30])).
% 0.92/0.38 thf(c_0_123, plain, ((epred8_0)|~((epred6_0))|~((epred5_0))|~((epred6_0))|~((epred5_0))), inference(split_conjunct,[status(thm)],[c_0_34])).
% 0.92/0.38 thf(c_0_124, plain, (((((epred13_0)|~(f2 @ $true)|(f1 @ $true)|~(epred16_0))&((epred14_0)|~(f2 @ $false)|(f1 @ $true)|~(epred16_0)))&(((epred13_0)|(f2 @ $true)|(f1 @ $false)|~(epred16_0))&((epred14_0)|(f2 @ $false)|(f1 @ $false)|~(epred16_0))))&(((((((~(epred14_0)|~(epred13_0)|(~(epred14_0)|~(epred13_0))|(epred16_0))&(~(f2 @ $false)|~(epred13_0)|(~(epred14_0)|~(epred13_0))|(epred16_0)))&((~(epred14_0)|~(f2 @ $true)|(~(epred14_0)|~(epred13_0))|(epred16_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred14_0)|~(epred13_0))|(epred16_0))))&(~(f1 @ $false)|(~(epred14_0)|~(epred13_0))|(epred16_0)))&((((~(epred14_0)|~(epred13_0)|((f2 @ $false)|~(epred13_0))|(epred16_0))&(~(f2 @ $false)|~(epred13_0)|((f2 @ $false)|~(epred13_0))|(epred16_0)))&((~(epred14_0)|~(f2 @ $true)|((f2 @ $false)|~(epred13_0))|(epred16_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|~(epred13_0))|(epred16_0))))&(~(f1 @ $false)|((f2 @ $false)|~(epred13_0))|(epred16_0))))&(((((~(epred14_0)|~(epred13_0)|(~(epred14_0)|(f2 @ $true))|(epred16_0))&(~(f2 @ $false)|~(epred13_0)|(~(epred14_0)|(f2 @ $true))|(epred16_0)))&((~(epred14_0)|~(f2 @ $true)|(~(epred14_0)|(f2 @ $true))|(epred16_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred14_0)|(f2 @ $true))|(epred16_0))))&(~(f1 @ $false)|(~(epred14_0)|(f2 @ $true))|(epred16_0)))&((((~(epred14_0)|~(epred13_0)|((f2 @ $false)|(f2 @ $true))|(epred16_0))&(~(f2 @ $false)|~(epred13_0)|((f2 @ $false)|(f2 @ $true))|(epred16_0)))&((~(epred14_0)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred16_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred16_0))))&(~(f1 @ $false)|((f2 @ $false)|(f2 @ $true))|(epred16_0)))))&((((~(epred14_0)|~(epred13_0)|~(f1 @ $true)|(epred16_0))&(~(f2 @ $false)|~(epred13_0)|~(f1 @ $true)|(epred16_0)))&((~(epred14_0)|~(f2 @ $true)|~(f1 @ $true)|(epred16_0))&(~(f2 @ $false)|~(f2 @ $true)|~(f1 @ $true)|(epred16_0))))&(~(f1 @ $false)|~(f1 @ $true)|(epred16_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])])).
% 0.92/0.38 thf(c_0_125, plain, (((((epred13_0)|~(f2 @ $true)|~(f1 @ $true)|~(epred15_0))&((epred14_0)|~(f2 @ $false)|~(f1 @ $true)|~(epred15_0)))&(((epred13_0)|(f2 @ $true)|~(f1 @ $false)|~(epred15_0))&((epred14_0)|(f2 @ $false)|~(f1 @ $false)|~(epred15_0))))&(((((((~(epred14_0)|~(epred13_0)|(~(epred14_0)|~(epred13_0))|(epred15_0))&(~(f2 @ $false)|~(epred13_0)|(~(epred14_0)|~(epred13_0))|(epred15_0)))&((~(epred14_0)|~(f2 @ $true)|(~(epred14_0)|~(epred13_0))|(epred15_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred14_0)|~(epred13_0))|(epred15_0))))&((f1 @ $false)|(~(epred14_0)|~(epred13_0))|(epred15_0)))&((((~(epred14_0)|~(epred13_0)|((f2 @ $false)|~(epred13_0))|(epred15_0))&(~(f2 @ $false)|~(epred13_0)|((f2 @ $false)|~(epred13_0))|(epred15_0)))&((~(epred14_0)|~(f2 @ $true)|((f2 @ $false)|~(epred13_0))|(epred15_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|~(epred13_0))|(epred15_0))))&((f1 @ $false)|((f2 @ $false)|~(epred13_0))|(epred15_0))))&(((((~(epred14_0)|~(epred13_0)|(~(epred14_0)|(f2 @ $true))|(epred15_0))&(~(f2 @ $false)|~(epred13_0)|(~(epred14_0)|(f2 @ $true))|(epred15_0)))&((~(epred14_0)|~(f2 @ $true)|(~(epred14_0)|(f2 @ $true))|(epred15_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred14_0)|(f2 @ $true))|(epred15_0))))&((f1 @ $false)|(~(epred14_0)|(f2 @ $true))|(epred15_0)))&((((~(epred14_0)|~(epred13_0)|((f2 @ $false)|(f2 @ $true))|(epred15_0))&(~(f2 @ $false)|~(epred13_0)|((f2 @ $false)|(f2 @ $true))|(epred15_0)))&((~(epred14_0)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred15_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred15_0))))&((f1 @ $false)|((f2 @ $false)|(f2 @ $true))|(epred15_0)))))&((((~(epred14_0)|~(epred13_0)|(f1 @ $true)|(epred15_0))&(~(f2 @ $false)|~(epred13_0)|(f1 @ $true)|(epred15_0)))&((~(epred14_0)|~(f2 @ $true)|(f1 @ $true)|(epred15_0))&(~(f2 @ $false)|~(f2 @ $true)|(f1 @ $true)|(epred15_0))))&((f1 @ $false)|(f1 @ $true)|(epred15_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])])).
% 0.92/0.38 thf(c_0_126, plain, (((((epred11_0)|~(f2 @ $true)|(f2 @ $true)|~(epred14_0))&((epred12_0)|~(f2 @ $false)|(f2 @ $true)|~(epred14_0)))&(((epred11_0)|(f2 @ $true)|(f2 @ $false)|~(epred14_0))&((epred12_0)|(f2 @ $false)|(f2 @ $false)|~(epred14_0))))&(((((((~(epred12_0)|~(epred11_0)|(~(epred12_0)|~(epred11_0))|(epred14_0))&(~(f2 @ $false)|~(epred11_0)|(~(epred12_0)|~(epred11_0))|(epred14_0)))&((~(epred12_0)|~(f2 @ $true)|(~(epred12_0)|~(epred11_0))|(epred14_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred12_0)|~(epred11_0))|(epred14_0))))&(~(f2 @ $false)|(~(epred12_0)|~(epred11_0))|(epred14_0)))&((((~(epred12_0)|~(epred11_0)|((f2 @ $false)|~(epred11_0))|(epred14_0))&(~(f2 @ $false)|~(epred11_0)|((f2 @ $false)|~(epred11_0))|(epred14_0)))&((~(epred12_0)|~(f2 @ $true)|((f2 @ $false)|~(epred11_0))|(epred14_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|~(epred11_0))|(epred14_0))))&(~(f2 @ $false)|((f2 @ $false)|~(epred11_0))|(epred14_0))))&(((((~(epred12_0)|~(epred11_0)|(~(epred12_0)|(f2 @ $true))|(epred14_0))&(~(f2 @ $false)|~(epred11_0)|(~(epred12_0)|(f2 @ $true))|(epred14_0)))&((~(epred12_0)|~(f2 @ $true)|(~(epred12_0)|(f2 @ $true))|(epred14_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred12_0)|(f2 @ $true))|(epred14_0))))&(~(f2 @ $false)|(~(epred12_0)|(f2 @ $true))|(epred14_0)))&((((~(epred12_0)|~(epred11_0)|((f2 @ $false)|(f2 @ $true))|(epred14_0))&(~(f2 @ $false)|~(epred11_0)|((f2 @ $false)|(f2 @ $true))|(epred14_0)))&((~(epred12_0)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred14_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred14_0))))&(~(f2 @ $false)|((f2 @ $false)|(f2 @ $true))|(epred14_0)))))&((((~(epred12_0)|~(epred11_0)|~(f2 @ $true)|(epred14_0))&(~(f2 @ $false)|~(epred11_0)|~(f2 @ $true)|(epred14_0)))&((~(epred12_0)|~(f2 @ $true)|~(f2 @ $true)|(epred14_0))&(~(f2 @ $false)|~(f2 @ $true)|~(f2 @ $true)|(epred14_0))))&(~(f2 @ $false)|~(f2 @ $true)|(epred14_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])])).
% 0.92/0.38 thf(c_0_127, plain, ((epred12_0)|~((epred10_0))|~((f4 @ (($true))))|~((f3 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_58])).
% 0.92/0.38 thf(c_0_128, plain, ((f3 @ (~($true)))|(f4 @ (($true)))|(epred11_0)|~((epred10_0))), inference(split_conjunct,[status(thm)],[c_0_57])).
% 0.92/0.38 thf(c_0_129, plain, ((f3 @ (($true)))|(epred12_0)|(epred11_0)|~((epred10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_91])).
% 0.92/0.38 thf(c_0_130, plain, ((epred10_0)|~((x))|~((f4 @ (($true))))|~((f4 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_48])).
% 0.92/0.38 thf(c_0_131, plain, ((epred10_0)|~((f4 @ (~($true))))|~((x))), inference(csr,[status(thm)],[c_0_92, c_0_93])).
% 0.92/0.38 thf(c_0_132, plain, ((f4 @ (~($true)))|(f4 @ (($true)))|(epred9_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.92/0.38 thf(c_0_133, plain, ((epred9_0)|(x)|(epred10_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_60]), c_0_94])).
% 0.92/0.38 thf(c_0_134, plain, ((f2 @ (~($true)))|(f2 @ (~($true)))|(epred13_0)|~((epred11_0))), inference(split_conjunct,[status(thm)],[c_0_95])).
% 0.92/0.38 thf(c_0_135, plain, ((f3 @ (($true)))|~((epred2_0))|~((epred1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_40]), c_0_96]), c_0_97])).
% 0.92/0.38 thf(c_0_136, plain, ((epred2_0)|(f3 @ (($true)))|~((f3 @ (~($true))))|~((epred4_0))), inference(split_conjunct,[status(thm)],[c_0_66])).
% 0.92/0.38 thf(c_0_137, plain, ((epred2_0)|(f3 @ (~($true)))|~((epred4_0))), inference(cn,[status(thm)],[c_0_98])).
% 0.92/0.38 thf(c_0_138, plain, (((((epred1_0)|~(f3 @ $true)|~(f3 @ $true)|~(epred3_0))&((epred2_0)|~(f3 @ $false)|~(f3 @ $true)|~(epred3_0)))&(((epred1_0)|(f3 @ $true)|~(f3 @ $false)|~(epred3_0))&((epred2_0)|(f3 @ $false)|~(f3 @ $false)|~(epred3_0))))&(((((((~(epred2_0)|~(epred1_0)|(~(epred2_0)|~(epred1_0))|(epred3_0))&(~(f3 @ $false)|~(epred1_0)|(~(epred2_0)|~(epred1_0))|(epred3_0)))&((~(epred2_0)|~(f3 @ $true)|(~(epred2_0)|~(epred1_0))|(epred3_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(epred2_0)|~(epred1_0))|(epred3_0))))&((f3 @ $false)|(~(epred2_0)|~(epred1_0))|(epred3_0)))&((((~(epred2_0)|~(epred1_0)|((f3 @ $false)|~(epred1_0))|(epred3_0))&(~(f3 @ $false)|~(epred1_0)|((f3 @ $false)|~(epred1_0))|(epred3_0)))&((~(epred2_0)|~(f3 @ $true)|((f3 @ $false)|~(epred1_0))|(epred3_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|~(epred1_0))|(epred3_0))))&((f3 @ $false)|((f3 @ $false)|~(epred1_0))|(epred3_0))))&(((((~(epred2_0)|~(epred1_0)|(~(epred2_0)|(f3 @ $true))|(epred3_0))&(~(f3 @ $false)|~(epred1_0)|(~(epred2_0)|(f3 @ $true))|(epred3_0)))&((~(epred2_0)|~(f3 @ $true)|(~(epred2_0)|(f3 @ $true))|(epred3_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(epred2_0)|(f3 @ $true))|(epred3_0))))&((f3 @ $false)|(~(epred2_0)|(f3 @ $true))|(epred3_0)))&((((~(epred2_0)|~(epred1_0)|((f3 @ $false)|(f3 @ $true))|(epred3_0))&(~(f3 @ $false)|~(epred1_0)|((f3 @ $false)|(f3 @ $true))|(epred3_0)))&((~(epred2_0)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred3_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred3_0))))&((f3 @ $false)|((f3 @ $false)|(f3 @ $true))|(epred3_0)))))&((((~(epred2_0)|~(epred1_0)|(f3 @ $true)|(epred3_0))&(~(f3 @ $false)|~(epred1_0)|(f3 @ $true)|(epred3_0)))&((~(epred2_0)|~(f3 @ $true)|(f3 @ $true)|(epred3_0))&(~(f3 @ $false)|~(f3 @ $true)|(f3 @ $true)|(epred3_0))))&((f3 @ $false)|(f3 @ $true)|(epred3_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])])])).
% 0.92/0.38 thf(c_0_139, plain, ((epred4_0)|~((epred2_0))|~((f3 @ (($true))))|~((f3 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_66])).
% 0.92/0.38 thf(c_0_140, plain, ((f3 @ (~($true)))|(epred1_0)|(epred2_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_101]), c_0_102]), c_0_46])).
% 0.92/0.38 thf(c_0_141, plain, ((f3 @ (($true)))|(epred1_0)|~((x))|~((f4 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.92/0.38 thf(c_0_142, plain, ((f4 @ (($true)))|(epred2_0)|~((f3 @ (~($true))))|~((x))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.92/0.38 thf(c_0_143, plain, (~((x))|~((f4 @ (($true))))|~((f4 @ (($true))))|~((epred9_0))), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.92/0.38 thf(c_0_144, plain, ((epred11_0)|~((f2 @ (($true))))|~((f2 @ (($true))))|~((epred13_0))), inference(split_conjunct,[status(thm)],[c_0_95])).
% 0.92/0.38 thf(c_0_145, plain, (((((epred3_0)|~(f2 @ $true)|(f1 @ $true)|~(epred6_0))&((epred4_0)|~(f2 @ $false)|(f1 @ $true)|~(epred6_0)))&(((epred3_0)|(f2 @ $true)|(f1 @ $false)|~(epred6_0))&((epred4_0)|(f2 @ $false)|(f1 @ $false)|~(epred6_0))))&(((((((~(epred4_0)|~(epred3_0)|(~(epred4_0)|~(epred3_0))|(epred6_0))&(~(f2 @ $false)|~(epred3_0)|(~(epred4_0)|~(epred3_0))|(epred6_0)))&((~(epred4_0)|~(f2 @ $true)|(~(epred4_0)|~(epred3_0))|(epred6_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred4_0)|~(epred3_0))|(epred6_0))))&(~(f1 @ $false)|(~(epred4_0)|~(epred3_0))|(epred6_0)))&((((~(epred4_0)|~(epred3_0)|((f2 @ $false)|~(epred3_0))|(epred6_0))&(~(f2 @ $false)|~(epred3_0)|((f2 @ $false)|~(epred3_0))|(epred6_0)))&((~(epred4_0)|~(f2 @ $true)|((f2 @ $false)|~(epred3_0))|(epred6_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|~(epred3_0))|(epred6_0))))&(~(f1 @ $false)|((f2 @ $false)|~(epred3_0))|(epred6_0))))&(((((~(epred4_0)|~(epred3_0)|(~(epred4_0)|(f2 @ $true))|(epred6_0))&(~(f2 @ $false)|~(epred3_0)|(~(epred4_0)|(f2 @ $true))|(epred6_0)))&((~(epred4_0)|~(f2 @ $true)|(~(epred4_0)|(f2 @ $true))|(epred6_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred4_0)|(f2 @ $true))|(epred6_0))))&(~(f1 @ $false)|(~(epred4_0)|(f2 @ $true))|(epred6_0)))&((((~(epred4_0)|~(epred3_0)|((f2 @ $false)|(f2 @ $true))|(epred6_0))&(~(f2 @ $false)|~(epred3_0)|((f2 @ $false)|(f2 @ $true))|(epred6_0)))&((~(epred4_0)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred6_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred6_0))))&(~(f1 @ $false)|((f2 @ $false)|(f2 @ $true))|(epred6_0)))))&((((~(epred4_0)|~(epred3_0)|~(f1 @ $true)|(epred6_0))&(~(f2 @ $false)|~(epred3_0)|~(f1 @ $true)|(epred6_0)))&((~(epred4_0)|~(f2 @ $true)|~(f1 @ $true)|(epred6_0))&(~(f2 @ $false)|~(f2 @ $true)|~(f1 @ $true)|(epred6_0))))&(~(f1 @ $false)|~(f1 @ $true)|(epred6_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])])])).
% 0.92/0.38 thf(c_0_146, plain, ((epred6_0)|(f1 @ (($true)))|~((f1 @ (~($true))))|~((epred8_0))), inference(split_conjunct,[status(thm)],[c_0_34])).
% 0.92/0.38 thf(c_0_147, plain, ((epred6_0)|(f1 @ (~($true)))|~((epred8_0))), inference(cn,[status(thm)],[c_0_104])).
% 0.92/0.38 thf(c_0_148, plain, ((f0 @ (($true)))|(epred16_0)|~((epred18_0))), inference(csr,[status(thm)],[c_0_105, c_0_106])).
% 0.92/0.38 thf(c_0_149, negated_conjecture, ((epred18_0)|(epred8_0)|~((epred7_0))|~((epred17_0))), inference(spm,[status(thm)],[c_0_107, c_0_108])).
% 0.92/0.38 thf(c_0_150, plain, ((epred7_0)|(epred8_0)|~((epred5_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_73]), c_0_110])).
% 0.92/0.38 thf(c_0_151, plain, ((f0 @ (~($true)))|(f0 @ (~($true)))|(epred17_0)|~((epred15_0))), inference(split_conjunct,[status(thm)],[c_0_75])).
% 0.92/0.38 thf(c_0_152, plain, ((f4 @ (($true)))|(x)|~((epred10_0))), inference(csr,[status(thm)],[c_0_111, c_0_112])).
% 0.92/0.38 thf(c_0_153, plain, ((epred15_0)|~((f0 @ (~($true))))|~((epred17_0))), inference(csr,[status(thm)],[c_0_113, c_0_114])).
% 0.92/0.38 thf(c_0_154, plain, ((epred15_0)|(f0 @ (($true)))|(f0 @ (~($true)))|~((epred18_0))), inference(split_conjunct,[status(thm)],[c_0_31])).
% 0.92/0.38 thf(c_0_155, plain, ((epred15_0)|~((epred17_0))|~((f0 @ (($true))))), inference(cn,[status(thm)],[c_0_115])).
% 0.92/0.38 thf(c_0_156, negated_conjecture, ((epred7_0)|(epred18_0)|~((epred16_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_117]), c_0_78])).
% 0.92/0.38 thf(c_0_157, plain, ((epred17_0)|(epred5_0)|~((epred8_0))|~((epred18_0))), inference(spm,[status(thm)],[c_0_118, c_0_119])).
% 0.92/0.38 thf(c_0_158, plain, ((epred18_0)|(epred17_0)|(epred5_0)|~((epred16_0))), inference(spm,[status(thm)],[c_0_118, c_0_120])).
% 0.92/0.38 thf(c_0_159, plain, ((epred7_0)|(epred8_0)|~((epred6_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_122]), c_0_85])).
% 0.92/0.38 thf(c_0_160, plain, ((epred8_0)|~((epred5_0))|~((epred6_0))), inference(cn,[status(thm)],[c_0_123])).
% 0.92/0.38 thf(c_0_161, plain, ((epred16_0)|~((epred14_0))|~((f2 @ (($true))))|~((f1 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_124])).
% 0.92/0.38 thf(c_0_162, plain, ((f1 @ (($true)))|(epred15_0)|~((epred14_0))|~((f2 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_125])).
% 0.92/0.38 thf(c_0_163, plain, ((f2 @ (($true)))|(epred14_0)|~((f2 @ (~($true))))|~((epred12_0))), inference(split_conjunct,[status(thm)],[c_0_126])).
% 0.92/0.38 thf(c_0_164, plain, ((epred14_0)|~((f2 @ (~($true))))|~((f2 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_126])).
% 0.92/0.38 thf(c_0_165, plain, ((epred14_0)|~((epred12_0))|~((f2 @ (($true))))|~((f2 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_126])).
% 0.92/0.38 thf(c_0_166, plain, ((epred16_0)|~((f2 @ (~($true))))|~((epred13_0))|~((f1 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_124])).
% 0.92/0.38 thf(c_0_167, plain, ((f1 @ (($true)))|(epred15_0)|~((f2 @ (~($true))))|~((epred13_0))), inference(split_conjunct,[status(thm)],[c_0_125])).
% 0.92/0.38 thf(c_0_168, plain, ((f3 @ (($true)))|(epred11_0)|~((f4 @ (~($true))))|~((epred9_0))), inference(split_conjunct,[status(thm)],[c_0_57])).
% 0.92/0.38 thf(c_0_169, plain, ((f4 @ (~($true)))|(epred12_0)|~((f3 @ (~($true))))|~((epred9_0))), inference(split_conjunct,[status(thm)],[c_0_58])).
% 0.92/0.38 thf(c_0_170, plain, ((epred12_0)|~((f3 @ (~($true))))|~((f3 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_58])).
% 0.92/0.38 thf(c_0_171, plain, ((f3 @ (~($true)))|(epred11_0)|(epred12_0)|~((epred10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_128]), c_0_129])).
% 0.92/0.38 thf(c_0_172, plain, ((epred10_0)|~((x))|~((f4 @ (($true))))), inference(cn,[status(thm)],[c_0_130])).
% 0.92/0.38 thf(c_0_173, plain, ((f4 @ (($true)))|(epred9_0)|(epred10_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_132]), c_0_133])).
% 0.92/0.38 thf(c_0_174, plain, ((f2 @ (($true)))|(epred13_0)|~((f2 @ (~($true))))|~((epred11_0))), inference(split_conjunct,[status(thm)],[c_0_95])).
% 0.92/0.38 thf(c_0_175, plain, ((epred13_0)|(f2 @ (~($true)))|~((epred11_0))), inference(cn,[status(thm)],[c_0_134])).
% 0.92/0.38 thf(c_0_176, plain, ((f3 @ (~($true)))|~((epred1_0))|~((epred2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_63]), c_0_135]), c_0_97])).
% 0.92/0.38 thf(c_0_177, plain, ((f3 @ (($true)))|(epred2_0)|~((epred4_0))), inference(csr,[status(thm)],[c_0_136, c_0_137])).
% 0.92/0.38 thf(c_0_178, plain, ((epred2_0)|~((f3 @ (($true))))|~((epred4_0))), inference(spm,[status(thm)],[c_0_67, c_0_137])).
% 0.92/0.38 thf(c_0_179, plain, ((epred1_0)|~((f3 @ (($true))))|~((f3 @ (($true))))|~((epred3_0))), inference(split_conjunct,[status(thm)],[c_0_138])).
% 0.92/0.38 thf(c_0_180, plain, ((f3 @ (~($true)))|(f3 @ (~($true)))|(epred3_0)|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_138])).
% 0.92/0.38 thf(c_0_181, plain, ((f3 @ (($true)))|(epred4_0)|~((f3 @ (~($true))))|~((epred2_0))), inference(split_conjunct,[status(thm)],[c_0_66])).
% 0.92/0.38 thf(c_0_182, plain, ((epred4_0)|~((epred2_0))|~((f3 @ (($true))))), inference(cn,[status(thm)],[c_0_139])).
% 0.92/0.38 thf(c_0_183, plain, ((epred4_0)|~((epred2_0))|~((epred1_0))|~((epred2_0))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_66])).
% 0.92/0.38 thf(c_0_184, plain, ((epred1_0)|(epred2_0)|~((f3 @ (($true))))), inference(spm,[status(thm)],[c_0_67, c_0_140])).
% 0.92/0.38 thf(c_0_185, plain, ((f3 @ (($true)))|(epred2_0)|(epred1_0)|~((x))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141, c_0_142]), c_0_46])).
% 0.92/0.38 thf(c_0_186, plain, ((x)|~((f4 @ (~($true))))|~((f4 @ (($true))))|~((epred9_0))), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.92/0.38 thf(c_0_187, plain, (~((x))|~((epred9_0))|~((f4 @ (($true))))), inference(cn,[status(thm)],[c_0_143])).
% 0.92/0.38 thf(c_0_188, plain, ((epred10_0)|(f3 @ (($true)))|~((f4 @ (~($true))))|~((epred12_0))), inference(split_conjunct,[status(thm)],[c_0_58])).
% 0.92/0.38 thf(c_0_189, plain, ((epred10_0)|(f4 @ (~($true)))|(f3 @ (~($true)))|~((epred12_0))), inference(split_conjunct,[status(thm)],[c_0_58])).
% 0.92/0.38 thf(c_0_190, plain, ((epred9_0)|(f3 @ (($true)))|~((f4 @ (($true))))|~((epred12_0))), inference(split_conjunct,[status(thm)],[c_0_58])).
% 0.92/0.38 thf(c_0_191, plain, ((epred9_0)|(f4 @ (($true)))|(f3 @ (~($true)))|~((epred12_0))), inference(split_conjunct,[status(thm)],[c_0_58])).
% 0.92/0.38 thf(c_0_192, plain, ((epred12_0)|(f2 @ (~($true)))|(f2 @ (~($true)))|~((epred14_0))), inference(split_conjunct,[status(thm)],[c_0_126])).
% 0.92/0.38 thf(c_0_193, plain, ((epred11_0)|(f2 @ (($true)))|~((f2 @ (~($true))))|~((epred13_0))), inference(split_conjunct,[status(thm)],[c_0_95])).
% 0.92/0.38 thf(c_0_194, plain, ((epred11_0)|~((epred13_0))|~((f2 @ (($true))))), inference(cn,[status(thm)],[c_0_144])).
% 0.92/0.38 thf(c_0_195, plain, ((epred14_0)|~((f2 @ (~($true))))|~((f1 @ (($true))))|~((epred15_0))), inference(split_conjunct,[status(thm)],[c_0_125])).
% 0.92/0.38 thf(c_0_196, plain, ((epred14_0)|(f1 @ (($true)))|~((f2 @ (~($true))))|~((epred16_0))), inference(split_conjunct,[status(thm)],[c_0_124])).
% 0.92/0.38 thf(c_0_197, plain, ((epred13_0)|~((f2 @ (($true))))|~((f1 @ (($true))))|~((epred15_0))), inference(split_conjunct,[status(thm)],[c_0_125])).
% 0.92/0.38 thf(c_0_198, plain, ((epred13_0)|(f1 @ (($true)))|~((f2 @ (($true))))|~((epred16_0))), inference(split_conjunct,[status(thm)],[c_0_124])).
% 0.92/0.38 thf(c_0_199, plain, ((epred6_0)|~((f1 @ (~($true))))|~((f1 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_145])).
% 0.92/0.38 thf(c_0_200, plain, ((f1 @ (($true)))|(epred6_0)|~((epred8_0))), inference(csr,[status(thm)],[c_0_146, c_0_147])).
% 0.92/0.38 thf(c_0_201, negated_conjecture, ((epred16_0)|~((epred18_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_106]), c_0_148])).
% 0.92/0.38 thf(c_0_202, negated_conjecture, ((epred8_0)|(epred18_0)|~((epred17_0))|~((epred5_0))), inference(spm,[status(thm)],[c_0_149, c_0_150])).
% 0.92/0.38 thf(c_0_203, plain, ((f0 @ (($true)))|(epred17_0)|~((f0 @ (~($true))))|~((epred15_0))), inference(split_conjunct,[status(thm)],[c_0_75])).
% 0.92/0.38 thf(c_0_204, plain, ((epred17_0)|(f0 @ (~($true)))|~((epred15_0))), inference(cn,[status(thm)],[c_0_151])).
% 0.92/0.38 thf(c_0_205, plain, ((x)|~((f3 @ (($true))))|~((epred1_0))|~((epred10_0))), inference(spm,[status(thm)],[c_0_39, c_0_112])).
% 0.92/0.38 thf(c_0_206, plain, ((f3 @ (($true)))|(x)|(epred11_0)|~((epred10_0))), inference(spm,[status(thm)],[c_0_89, c_0_152])).
% 0.92/0.38 thf(c_0_207, plain, ((epred15_0)|~((epred17_0))|~((epred18_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153, c_0_154]), c_0_155])).
% 0.92/0.38 thf(c_0_208, plain, ((epred18_0)|(epred5_0)|~((epred16_0))), inference(spm,[status(thm)],[c_0_118, c_0_156])).
% 0.92/0.38 thf(c_0_209, plain, ((epred5_0)|(epred17_0)|~((epred8_0))|~((epred16_0))), inference(spm,[status(thm)],[c_0_157, c_0_158])).
% 0.92/0.38 thf(c_0_210, plain, ((epred8_0)|~((epred6_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_159]), c_0_160])).
% 0.92/0.38 thf(c_0_211, plain, ((f2 @ (($true)))|(epred16_0)|~((f1 @ (~($true))))|~((epred14_0))), inference(split_conjunct,[status(thm)],[c_0_124])).
% 0.92/0.38 thf(c_0_212, plain, ((f1 @ (~($true)))|(f2 @ (($true)))|(epred15_0)|~((epred14_0))), inference(split_conjunct,[status(thm)],[c_0_125])).
% 0.92/0.38 thf(c_0_213, plain, ((epred15_0)|(epred16_0)|~((f2 @ (($true))))|~((epred14_0))), inference(spm,[status(thm)],[c_0_161, c_0_162])).
% 0.92/0.38 thf(c_0_214, plain, ((epred14_0)|~((f2 @ (~($true))))|~((epred12_0))), inference(csr,[status(thm)],[c_0_163, c_0_164])).
% 0.92/0.38 thf(c_0_215, plain, ((f2 @ (~($true)))|(f2 @ (($true)))|(epred13_0)), inference(split_conjunct,[status(thm)],[c_0_95])).
% 0.92/0.38 thf(c_0_216, plain, ((epred14_0)|~((epred12_0))|~((f2 @ (($true))))), inference(cn,[status(thm)],[c_0_165])).
% 0.92/0.38 thf(c_0_217, plain, ((f2 @ (~($true)))|(epred16_0)|~((f1 @ (~($true))))|~((epred13_0))), inference(split_conjunct,[status(thm)],[c_0_124])).
% 0.92/0.38 thf(c_0_218, plain, ((f1 @ (~($true)))|(f2 @ (~($true)))|(epred15_0)|~((epred13_0))), inference(split_conjunct,[status(thm)],[c_0_125])).
% 0.92/0.38 thf(c_0_219, plain, ((epred15_0)|(epred16_0)|~((f2 @ (~($true))))|~((epred13_0))), inference(spm,[status(thm)],[c_0_166, c_0_167])).
% 0.92/0.38 thf(c_0_220, plain, ((epred12_0)|~((f4 @ (~($true))))|~((epred9_0))|~((f3 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_58])).
% 0.92/0.38 thf(c_0_221, plain, ((f3 @ (~($true)))|(f4 @ (~($true)))|(epred11_0)|~((epred9_0))), inference(split_conjunct,[status(thm)],[c_0_57])).
% 0.92/0.38 thf(c_0_222, plain, ((f3 @ (($true)))|(epred12_0)|(epred11_0)|~((epred9_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_169]), c_0_91])).
% 0.92/0.38 thf(c_0_223, plain, ((epred11_0)|(epred12_0)|~((epred10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170, c_0_171]), c_0_129])).
% 0.92/0.38 thf(c_0_224, plain, ((epred9_0)|(epred10_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172, c_0_173]), c_0_133])).
% 0.92/0.38 thf(c_0_225, plain, ((f2 @ (($true)))|(epred13_0)|~((epred11_0))), inference(csr,[status(thm)],[c_0_174, c_0_175])).
% 0.92/0.38 thf(c_0_226, plain, (~((epred1_0))|~((epred2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_176]), c_0_135])).
% 0.92/0.38 thf(c_0_227, plain, ((epred2_0)|~((epred4_0))), inference(csr,[status(thm)],[c_0_177, c_0_178])).
% 0.92/0.38 thf(c_0_228, plain, ((epred1_0)|(f3 @ (($true)))|~((f3 @ (~($true))))|~((epred3_0))), inference(split_conjunct,[status(thm)],[c_0_138])).
% 0.92/0.38 thf(c_0_229, plain, ((epred1_0)|~((epred3_0))|~((f3 @ (($true))))), inference(cn,[status(thm)],[c_0_179])).
% 0.92/0.38 thf(c_0_230, plain, ((epred4_0)|~((f2 @ (~($true))))|~((f1 @ (($true))))|~((epred5_0))), inference(split_conjunct,[status(thm)],[c_0_51])).
% 0.92/0.38 thf(c_0_231, plain, ((epred4_0)|(f1 @ (($true)))|~((f2 @ (~($true))))|~((epred6_0))), inference(split_conjunct,[status(thm)],[c_0_145])).
% 0.92/0.38 thf(c_0_232, plain, ((epred3_0)|~((f2 @ (($true))))|~((f1 @ (($true))))|~((epred5_0))), inference(split_conjunct,[status(thm)],[c_0_51])).
% 0.92/0.38 thf(c_0_233, plain, ((epred3_0)|(f1 @ (($true)))|~((f2 @ (($true))))|~((epred6_0))), inference(split_conjunct,[status(thm)],[c_0_145])).
% 0.92/0.38 thf(c_0_234, plain, ((f3 @ (($true)))|(epred3_0)|~((f3 @ (~($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_138])).
% 0.92/0.38 thf(c_0_235, plain, ((epred3_0)|(f3 @ (~($true)))|~((epred1_0))), inference(cn,[status(thm)],[c_0_180])).
% 0.92/0.38 thf(c_0_236, plain, ((epred3_0)|~((epred2_0))|~((epred1_0))|~((epred2_0))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_138])).
% 0.92/0.38 thf(c_0_237, plain, ((epred4_0)|~((f3 @ (~($true))))|~((epred2_0))), inference(csr,[status(thm)],[c_0_181, c_0_182])).
% 0.92/0.38 thf(c_0_238, plain, ((epred4_0)|~((epred1_0))|~((epred2_0))), inference(cn,[status(thm)],[c_0_183])).
% 0.92/0.38 thf(c_0_239, plain, ((x)|(f3 @ (($true)))|(epred1_0)|~((f4 @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.92/0.38 thf(c_0_240, plain, ((f4 @ (~($true)))|(x)|(epred2_0)|~((f3 @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.92/0.38 thf(c_0_241, plain, ((epred2_0)|(epred1_0)|~((x))), inference(spm,[status(thm)],[c_0_184, c_0_185])).
% 0.92/0.38 thf(c_0_242, plain, ((f4 @ (($true)))|~((x))|~((f4 @ (~($true))))|~((epred9_0))), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.92/0.38 thf(c_0_243, plain, (~((f4 @ (($true))))|~((f4 @ (~($true))))|~((epred9_0))), inference(csr,[status(thm)],[c_0_186, c_0_187])).
% 0.92/0.38 thf(c_0_244, plain, ((f4 @ (($true)))|(f4 @ (~($true)))|~((x))|~((epred10_0))), inference(split_conjunct,[status(thm)],[c_0_48])).
% 0.92/0.38 thf(c_0_245, plain, ((epred10_0)|(f4 @ (~($true)))|~((f3 @ (~($true))))|~((epred11_0))), inference(split_conjunct,[status(thm)],[c_0_57])).
% 0.92/0.38 thf(c_0_246, plain, ((f3 @ (~($true)))|(f3 @ (($true)))|(epred10_0)|~((epred12_0))), inference(spm,[status(thm)],[c_0_188, c_0_189])).
% 0.92/0.38 thf(c_0_247, plain, ((epred9_0)|(f4 @ (($true)))|~((f3 @ (~($true))))|~((epred11_0))), inference(split_conjunct,[status(thm)],[c_0_57])).
% 0.92/0.38 thf(c_0_248, plain, ((f3 @ (~($true)))|(f3 @ (($true)))|(epred9_0)|~((epred12_0))), inference(spm,[status(thm)],[c_0_190, c_0_191])).
% 0.92/0.38 thf(c_0_249, plain, ((epred12_0)|(f2 @ (($true)))|~((f2 @ (~($true))))|~((epred14_0))), inference(split_conjunct,[status(thm)],[c_0_126])).
% 0.92/0.38 thf(c_0_250, plain, ((epred12_0)|(f2 @ (~($true)))|~((epred14_0))), inference(cn,[status(thm)],[c_0_192])).
% 0.92/0.38 thf(c_0_251, plain, ((epred11_0)|~((f2 @ (~($true))))|~((epred13_0))), inference(csr,[status(thm)],[c_0_193, c_0_194])).
% 0.92/0.38 thf(c_0_252, plain, ((epred11_0)|(f2 @ (($true)))|(f2 @ (~($true)))|~((epred14_0))), inference(split_conjunct,[status(thm)],[c_0_126])).
% 0.92/0.38 thf(c_0_253, plain, ((epred14_0)|(f2 @ (~($true)))|~((f1 @ (~($true))))|~((epred15_0))), inference(split_conjunct,[status(thm)],[c_0_125])).
% 0.92/0.38 thf(c_0_254, plain, ((epred14_0)|(f2 @ (~($true)))|(f1 @ (~($true)))|~((epred16_0))), inference(split_conjunct,[status(thm)],[c_0_124])).
% 0.92/0.38 thf(c_0_255, plain, ((epred14_0)|~((f2 @ (~($true))))|~((epred15_0))|~((epred16_0))), inference(spm,[status(thm)],[c_0_195, c_0_196])).
% 0.92/0.38 thf(c_0_256, plain, ((epred13_0)|(f2 @ (($true)))|~((f1 @ (~($true))))|~((epred15_0))), inference(split_conjunct,[status(thm)],[c_0_125])).
% 0.92/0.38 thf(c_0_257, plain, ((epred13_0)|(f2 @ (($true)))|(f1 @ (~($true)))|~((epred16_0))), inference(split_conjunct,[status(thm)],[c_0_124])).
% 0.92/0.38 thf(c_0_258, plain, ((epred13_0)|~((f2 @ (($true))))|~((epred15_0))|~((epred16_0))), inference(spm,[status(thm)],[c_0_197, c_0_198])).
% 0.92/0.38 thf(c_0_259, plain, ((epred6_0)|~((epred8_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199, c_0_147]), c_0_200])).
% 0.92/0.38 thf(c_0_260, negated_conjecture, ((epred8_0)|(epred16_0)|~((epred17_0))|~((epred5_0))), inference(spm,[status(thm)],[c_0_201, c_0_202])).
% 0.92/0.38 thf(c_0_261, plain, ((f0 @ (($true)))|(epred17_0)|~((epred15_0))), inference(csr,[status(thm)],[c_0_203, c_0_204])).
% 0.92/0.38 thf(c_0_262, plain, ((epred11_0)|(x)|~((epred1_0))|~((epred10_0))), inference(spm,[status(thm)],[c_0_205, c_0_206])).
% 0.92/0.38 thf(c_0_263, plain, ((epred5_0)|(epred15_0)|~((epred17_0))|~((epred16_0))), inference(spm,[status(thm)],[c_0_207, c_0_208])).
% 0.92/0.38 thf(c_0_264, plain, ((epred17_0)|(epred5_0)|~((epred16_0))|~((epred6_0))), inference(spm,[status(thm)],[c_0_209, c_0_210])).
% 0.92/0.38 thf(c_0_265, plain, ((epred15_0)|(epred16_0)|~((epred14_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211, c_0_212]), c_0_213])).
% 0.92/0.38 thf(c_0_266, plain, ((epred13_0)|(epred14_0)|~((epred12_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214, c_0_215]), c_0_216])).
% 0.92/0.38 thf(c_0_267, plain, ((epred15_0)|(epred16_0)|~((epred13_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217, c_0_218]), c_0_219])).
% 0.92/0.38 thf(c_0_268, plain, ((f3 @ (~($true)))|(epred11_0)|(epred12_0)|~((epred9_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220, c_0_221]), c_0_222])).
% 0.92/0.38 thf(c_0_269, plain, ((epred9_0)|(epred12_0)|(epred11_0)), inference(spm,[status(thm)],[c_0_223, c_0_224])).
% 0.92/0.38 thf(c_0_270, plain, ((epred13_0)|(epred14_0)|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164, c_0_175]), c_0_225])).
% 0.92/0.38 thf(c_0_271, plain, (~((epred1_0))|~((epred4_0))), inference(spm,[status(thm)],[c_0_226, c_0_227])).
% 0.92/0.38 thf(c_0_272, plain, ((epred1_0)|~((epred3_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_228, c_0_46]), c_0_229])).
% 0.92/0.38 thf(c_0_273, plain, ((epred4_0)|(f2 @ (~($true)))|~((f1 @ (~($true))))|~((epred5_0))), inference(split_conjunct,[status(thm)],[c_0_51])).
% 0.92/0.38 thf(c_0_274, plain, ((epred4_0)|(f2 @ (~($true)))|(f1 @ (~($true)))|~((epred6_0))), inference(split_conjunct,[status(thm)],[c_0_145])).
% 0.92/0.38 thf(c_0_275, plain, ((epred4_0)|~((f2 @ (~($true))))|~((epred5_0))|~((epred6_0))), inference(spm,[status(thm)],[c_0_230, c_0_231])).
% 0.92/0.38 thf(c_0_276, plain, ((epred3_0)|(f2 @ (($true)))|~((f1 @ (~($true))))|~((epred5_0))), inference(split_conjunct,[status(thm)],[c_0_51])).
% 0.92/0.38 thf(c_0_277, plain, ((epred3_0)|(f2 @ (($true)))|(f1 @ (~($true)))|~((epred6_0))), inference(split_conjunct,[status(thm)],[c_0_145])).
% 0.92/0.38 thf(c_0_278, plain, ((epred3_0)|~((f2 @ (($true))))|~((epred5_0))|~((epred6_0))), inference(spm,[status(thm)],[c_0_232, c_0_233])).
% 0.92/0.38 thf(c_0_279, plain, ((epred6_0)|~((epred4_0))|~((f2 @ (($true))))|~((f1 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_145])).
% 0.92/0.38 thf(c_0_280, plain, ((f1 @ (($true)))|(epred5_0)|~((epred4_0))|~((f2 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_51])).
% 0.92/0.38 thf(c_0_281, plain, ((f3 @ (($true)))|(epred3_0)|~((epred1_0))), inference(csr,[status(thm)],[c_0_234, c_0_235])).
% 0.92/0.38 thf(c_0_282, plain, ((epred3_0)|~((epred1_0))|~((epred2_0))), inference(cn,[status(thm)],[c_0_236])).
% 0.92/0.38 thf(c_0_283, plain, ((epred4_0)|~((epred2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237, c_0_46]), c_0_238]), c_0_182])).
% 0.92/0.38 thf(c_0_284, plain, ((epred2_0)|(epred1_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239, c_0_240]), c_0_140]), c_0_241]), c_0_184])).
% 0.92/0.38 thf(c_0_285, plain, ((epred6_0)|~((f2 @ (~($true))))|~((epred3_0))|~((f1 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_145])).
% 0.92/0.38 thf(c_0_286, plain, ((f1 @ (($true)))|(epred5_0)|~((f2 @ (~($true))))|~((epred3_0))), inference(split_conjunct,[status(thm)],[c_0_51])).
% 0.92/0.38 thf(c_0_287, plain, (~((f4 @ (~($true))))|~((x))|~((epred9_0))), inference(csr,[status(thm)],[c_0_242, c_0_243])).
% 0.92/0.38 thf(c_0_288, plain, ((f4 @ (~($true)))|(f4 @ (($true)))|~((epred10_0))), inference(csr,[status(thm)],[c_0_244, c_0_152])).
% 0.92/0.38 thf(c_0_289, plain, ((x)|~((epred9_0))|~((epred10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243, c_0_112]), c_0_152])).
% 0.92/0.38 thf(c_0_290, plain, ((epred10_0)|~((f4 @ (~($true))))|~((f3 @ (($true))))|~((epred11_0))), inference(split_conjunct,[status(thm)],[c_0_57])).
% 0.92/0.38 thf(c_0_291, plain, ((f3 @ (($true)))|(epred10_0)|~((epred12_0))|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188, c_0_245]), c_0_246])).
% 0.92/0.38 thf(c_0_292, plain, ((epred9_0)|~((f4 @ (($true))))|~((f3 @ (($true))))|~((epred11_0))), inference(split_conjunct,[status(thm)],[c_0_57])).
% 0.92/0.38 thf(c_0_293, plain, ((f3 @ (($true)))|(epred9_0)|~((epred12_0))|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190, c_0_247]), c_0_248])).
% 0.92/0.38 thf(c_0_294, plain, ((epred12_0)|~((f2 @ (~($true))))|~((f2 @ (($true))))|~((epred13_0))), inference(split_conjunct,[status(thm)],[c_0_95])).
% 0.92/0.38 thf(c_0_295, plain, ((f2 @ (($true)))|(epred12_0)|~((epred14_0))), inference(csr,[status(thm)],[c_0_249, c_0_250])).
% 0.92/0.38 thf(c_0_296, plain, ((epred11_0)|~((epred13_0))|~((epred14_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251, c_0_252]), c_0_194])).
% 0.92/0.38 thf(c_0_297, plain, ((epred14_0)|~((epred15_0))|~((epred16_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253, c_0_254]), c_0_255])).
% 0.92/0.38 thf(c_0_298, plain, ((epred13_0)|~((epred15_0))|~((epred16_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256, c_0_257]), c_0_258])).
% 0.92/0.38 thf(c_0_299, plain, ((epred16_0)|(epred6_0)|~((epred17_0))|~((epred5_0))), inference(spm,[status(thm)],[c_0_259, c_0_260])).
% 0.92/0.38 thf(c_0_300, negated_conjecture, ((epred17_0)|~((epred15_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_204]), c_0_261])).
% 0.92/0.38 thf(c_0_301, plain, ((f3 @ (($true)))|(epred11_0)|~((epred10_0))|~((epred1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_28]), c_0_262]), c_0_91])).
% 0.92/0.38 thf(c_0_302, plain, ((f3 @ (~($true)))|(f4 @ (~($true)))|(f4 @ (($true)))|(epred11_0)), inference(split_conjunct,[status(thm)],[c_0_57])).
% 0.92/0.38 thf(c_0_303, plain, ((epred15_0)|(epred5_0)|~((epred16_0))|~((epred6_0))), inference(spm,[status(thm)],[c_0_263, c_0_264])).
% 0.92/0.38 thf(c_0_304, plain, ((epred16_0)|(epred15_0)|~((epred12_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265, c_0_266]), c_0_267])).
% 0.92/0.38 thf(c_0_305, plain, ((epred11_0)|(epred12_0)|~((f3 @ (($true))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170, c_0_268]), c_0_269])).
% 0.92/0.38 thf(c_0_306, plain, ((epred16_0)|(epred15_0)|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265, c_0_270]), c_0_267])).
% 0.92/0.38 thf(c_0_307, plain, (~((epred4_0))|~((epred3_0))), inference(spm,[status(thm)],[c_0_271, c_0_272])).
% 0.92/0.38 thf(c_0_308, plain, ((epred4_0)|~((epred5_0))|~((epred6_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273, c_0_274]), c_0_275])).
% 0.92/0.38 thf(c_0_309, plain, ((epred3_0)|~((epred5_0))|~((epred6_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276, c_0_277]), c_0_278])).
% 0.92/0.38 thf(c_0_310, plain, ((f2 @ (($true)))|(epred6_0)|~((f1 @ (~($true))))|~((epred4_0))), inference(split_conjunct,[status(thm)],[c_0_145])).
% 0.92/0.38 thf(c_0_311, plain, ((f1 @ (~($true)))|(f2 @ (($true)))|(epred5_0)|~((epred4_0))), inference(split_conjunct,[status(thm)],[c_0_51])).
% 0.92/0.38 thf(c_0_312, plain, ((epred5_0)|(epred6_0)|~((f2 @ (($true))))|~((epred4_0))), inference(spm,[status(thm)],[c_0_279, c_0_280])).
% 0.92/0.38 thf(c_0_313, plain, ((epred3_0)|~((epred1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_235]), c_0_281]), c_0_282])).
% 0.92/0.38 thf(c_0_314, plain, ((epred1_0)|(epred4_0)), inference(spm,[status(thm)],[c_0_283, c_0_284])).
% 0.92/0.38 thf(c_0_315, plain, ((f2 @ (~($true)))|(epred6_0)|~((f1 @ (~($true))))|~((epred3_0))), inference(split_conjunct,[status(thm)],[c_0_145])).
% 0.92/0.38 thf(c_0_316, plain, ((f1 @ (~($true)))|(f2 @ (~($true)))|(epred5_0)|~((epred3_0))), inference(split_conjunct,[status(thm)],[c_0_51])).
% 0.92/0.38 thf(c_0_317, plain, ((epred5_0)|(epred6_0)|~((f2 @ (~($true))))|~((epred3_0))), inference(spm,[status(thm)],[c_0_285, c_0_286])).
% 0.92/0.38 thf(c_0_318, plain, ((f4 @ (($true)))|~((epred9_0))|~((epred10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287, c_0_288]), c_0_289])).
% 0.92/0.38 thf(c_0_319, plain, ((epred10_0)|~((f3 @ (($true))))|~((f3 @ (~($true))))|~((epred11_0))), inference(spm,[status(thm)],[c_0_290, c_0_245])).
% 0.92/0.38 thf(c_0_320, plain, ((f3 @ (~($true)))|(epred10_0)|~((epred11_0))|~((epred12_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290, c_0_189]), c_0_291])).
% 0.92/0.38 thf(c_0_321, plain, ((epred9_0)|~((f3 @ (($true))))|~((f3 @ (~($true))))|~((epred11_0))), inference(spm,[status(thm)],[c_0_292, c_0_247])).
% 0.92/0.38 thf(c_0_322, plain, ((f3 @ (~($true)))|(epred9_0)|~((epred11_0))|~((epred12_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292, c_0_191]), c_0_293])).
% 0.92/0.38 thf(c_0_323, plain, ((epred12_0)|~((epred13_0))|~((epred14_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294, c_0_250]), c_0_295])).
% 0.92/0.38 thf(c_0_324, plain, ((epred11_0)|~((epred15_0))|~((epred16_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296, c_0_297]), c_0_298])).
% 0.92/0.38 thf(c_0_325, negated_conjecture, ((epred6_0)|(epred16_0)|~((epred5_0))|~((epred15_0))), inference(spm,[status(thm)],[c_0_299, c_0_300])).
% 0.92/0.38 thf(c_0_326, plain, ((f3 @ (~($true)))|(epred11_0)|~((epred1_0))|~((epred10_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_128]), c_0_262]), c_0_301])).
% 0.92/0.38 thf(c_0_327, plain, ((f3 @ (~($true)))|(f4 @ (($true)))|(epred11_0)|~((x))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_302]), c_0_128])).
% 0.92/0.38 thf(c_0_328, plain, ((epred5_0)|(epred15_0)|~((epred6_0))|~((epred12_0))), inference(spm,[status(thm)],[c_0_303, c_0_304])).
% 0.92/0.38 thf(c_0_329, plain, ((epred12_0)|(epred11_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305, c_0_222]), c_0_269])).
% 0.92/0.38 thf(c_0_330, plain, ((epred5_0)|(epred15_0)|~((epred6_0))|~((epred11_0))), inference(spm,[status(thm)],[c_0_303, c_0_306])).
% 0.92/0.38 thf(c_0_331, plain, (~((epred5_0))|~((epred6_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307, c_0_308]), c_0_309])).
% 0.92/0.38 thf(c_0_332, plain, ((epred5_0)|(epred6_0)|~((epred4_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310, c_0_311]), c_0_312])).
% 0.92/0.38 thf(c_0_333, plain, ((epred4_0)|(epred3_0)), inference(spm,[status(thm)],[c_0_313, c_0_314])).
% 0.92/0.38 thf(c_0_334, plain, ((epred5_0)|(epred6_0)|~((epred3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315, c_0_316]), c_0_317])).
% 0.92/0.38 thf(c_0_335, plain, (~((epred9_0))|~((epred10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187, c_0_318]), c_0_289])).
% 0.92/0.38 thf(c_0_336, plain, ((epred10_0)|~((epred11_0))|~((epred12_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319, c_0_320]), c_0_291])).
% 0.92/0.38 thf(c_0_337, plain, ((epred9_0)|~((epred11_0))|~((epred12_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321, c_0_322]), c_0_293])).
% 0.92/0.38 thf(c_0_338, plain, ((epred12_0)|~((epred15_0))|~((epred16_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323, c_0_297]), c_0_298])).
% 0.92/0.38 thf(c_0_339, negated_conjecture, ((epred6_0)|(epred11_0)|~((epred15_0))|~((epred5_0))), inference(spm,[status(thm)],[c_0_324, c_0_325])).
% 0.92/0.38 thf(c_0_340, plain, ((epred11_0)|~((epred1_0))|~((epred10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_326]), c_0_301])).
% 0.92/0.38 thf(c_0_341, plain, ((epred10_0)|~((f3 @ (~($true))))|~((x))|~((epred1_0))), inference(spm,[status(thm)],[c_0_172, c_0_28])).
% 0.92/0.38 thf(c_0_342, plain, ((f3 @ (~($true)))|(epred11_0)|(epred10_0)|~((x))), inference(spm,[status(thm)],[c_0_172, c_0_327])).
% 0.92/0.38 thf(c_0_343, plain, ((epred15_0)|~((epred6_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328, c_0_329]), c_0_330]), c_0_331])).
% 0.92/0.38 thf(c_0_344, plain, ((epred6_0)|(epred5_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332, c_0_333]), c_0_334])).
% 0.92/0.38 thf(c_0_345, plain, (~((epred11_0))|~((epred12_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335, c_0_336]), c_0_337])).
% 0.92/0.38 thf(c_0_346, negated_conjecture, ((epred6_0)|(epred12_0)|~((epred15_0))|~((epred5_0))), inference(spm,[status(thm)],[c_0_338, c_0_325])).
% 0.92/0.38 thf(c_0_347, negated_conjecture, ((epred11_0)|~((epred5_0))|~((epred15_0))), inference(spm,[status(thm)],[c_0_331, c_0_339])).
% 0.92/0.38 thf(c_0_348, plain, ((epred9_0)|(epred11_0)|~((epred1_0))), inference(spm,[status(thm)],[c_0_340, c_0_224])).
% 0.92/0.38 thf(c_0_349, plain, ((epred11_0)|~((x))|~((epred1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341, c_0_342]), c_0_340])).
% 0.92/0.38 thf(c_0_350, plain, ((f1 @ (~($true)))|(f2 @ (~($true)))|(f2 @ (($true)))|(epred5_0)), inference(split_conjunct,[status(thm)],[c_0_51])).
% 0.92/0.38 thf(c_0_351, plain, ((epred5_0)|(epred15_0)), inference(spm,[status(thm)],[c_0_343, c_0_344])).
% 0.92/0.38 thf(c_0_352, negated_conjecture, (~((epred15_0))|~((epred5_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345, c_0_346]), c_0_347]), c_0_331])).
% 0.92/0.38 thf(c_0_353, plain, ((epred10_0)|~((f3 @ (~($true))))|~((x))|~((epred11_0))), inference(spm,[status(thm)],[c_0_131, c_0_245])).
% 0.92/0.38 thf(c_0_354, plain, ((f3 @ (~($true)))|(epred1_0)|(epred10_0)|~((x))), inference(spm,[status(thm)],[c_0_172, c_0_101])).
% 0.92/0.38 thf(c_0_355, plain, ((x)|(epred9_0)|~((f3 @ (($true))))|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292, c_0_152]), c_0_133])).
% 0.92/0.38 thf(c_0_356, plain, ((f3 @ (($true)))|(epred9_0)|(epred1_0)|(x)), inference(spm,[status(thm)],[c_0_239, c_0_60])).
% 0.92/0.38 thf(c_0_357, plain, ((f3 @ (($true)))|(epred11_0)|~((epred1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_40]), c_0_348]), c_0_91]), c_0_349])).
% 0.92/0.38 thf(c_0_358, plain, ((f2 @ (($true)))|(f2 @ (~($true)))|(epred5_0)|(epred14_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253, c_0_350]), c_0_351])).
% 0.92/0.38 thf(c_0_359, plain, ((epred5_0)|(epred13_0)|~((f2 @ (($true))))|~((epred15_0))|~((epred4_0))), inference(spm,[status(thm)],[c_0_197, c_0_280])).
% 0.92/0.38 thf(c_0_360, plain, ((f2 @ (($true)))|(epred13_0)|~((epred15_0))|~((epred4_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256, c_0_311]), c_0_352])).
% 0.92/0.38 thf(c_0_361, plain, ((epred1_0)|(epred10_0)|~((x))|~((epred11_0))), inference(spm,[status(thm)],[c_0_353, c_0_354])).
% 0.92/0.38 thf(c_0_362, plain, ((epred1_0)|(epred9_0)|(x)|~((epred11_0))), inference(spm,[status(thm)],[c_0_355, c_0_356])).
% 0.92/0.38 thf(c_0_363, plain, ((f3 @ (($true)))|(epred9_0)|(x)|~((epred2_0))), inference(spm,[status(thm)],[c_0_62, c_0_60])).
% 0.92/0.38 thf(c_0_364, plain, ((f3 @ (~($true)))|(epred11_0)|~((epred1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_221]), c_0_348]), c_0_357]), c_0_349])).
% 0.92/0.38 thf(c_0_365, plain, ((epred5_0)|(epred14_0)|~((epred12_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214, c_0_358]), c_0_216])).
% 0.92/0.38 thf(c_0_366, plain, ((epred13_0)|~((epred15_0))|~((epred4_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359, c_0_360]), c_0_352])).
% 0.92/0.38 thf(c_0_367, plain, ((f3 @ (~($true)))|(epred1_0)|(epred10_0)|~((epred11_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290, c_0_45]), c_0_46]), c_0_361])).
% 0.92/0.38 thf(c_0_368, plain, ((f3 @ (($true)))|(epred1_0)|(x)|~((epred10_0))), inference(spm,[status(thm)],[c_0_239, c_0_112])).
% 0.92/0.38 thf(c_0_369, plain, ((f3 @ (~($true)))|(epred1_0)|(epred9_0)|~((epred11_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292, c_0_101]), c_0_362]), c_0_46])).
% 0.92/0.38 thf(c_0_370, plain, ((epred9_0)|(x)|~((epred11_0))|~((epred2_0))), inference(spm,[status(thm)],[c_0_355, c_0_363])).
% 0.92/0.38 thf(c_0_371, plain, ((epred11_0)|~((epred1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_364]), c_0_357])).
% 0.92/0.38 thf(c_0_372, plain, ((epred5_0)|(epred11_0)|~((epred13_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296, c_0_365]), c_0_329])).
% 0.92/0.38 thf(c_0_373, plain, ((epred3_0)|(epred13_0)|~((epred15_0))), inference(spm,[status(thm)],[c_0_366, c_0_333])).
% 0.92/0.38 thf(c_0_374, plain, ((epred1_0)|(epred10_0)|~((f3 @ (($true))))|~((epred11_0))), inference(spm,[status(thm)],[c_0_319, c_0_367])).
% 0.92/0.38 thf(c_0_375, plain, ((f3 @ (($true)))|(epred1_0)|(x)|~((epred11_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239, c_0_245]), c_0_367]), c_0_368])).
% 0.92/0.38 thf(c_0_376, plain, ((epred1_0)|(epred9_0)|~((f3 @ (($true))))|~((epred11_0))), inference(spm,[status(thm)],[c_0_321, c_0_369])).
% 0.92/0.38 thf(c_0_377, plain, ((f3 @ (($true)))|(epred9_0)|~((epred2_0))|~((epred11_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_247]), c_0_370]), c_0_96])).
% 0.92/0.38 thf(c_0_378, plain, ((epred13_0)|(epred6_0)|~((f2 @ (($true))))|~((epred4_0))|~((epred16_0))), inference(spm,[status(thm)],[c_0_279, c_0_198])).
% 0.92/0.38 thf(c_0_379, plain, ((epred4_0)|(epred11_0)), inference(spm,[status(thm)],[c_0_371, c_0_314])).
% 0.92/0.38 thf(c_0_380, plain, ((f1 @ (($true)))|(epred5_0)|~((f2 @ (~($true))))|~((f2 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_51])).
% 0.92/0.38 thf(c_0_381, plain, ((epred11_0)|~((epred3_0))), inference(spm,[status(thm)],[c_0_371, c_0_272])).
% 0.92/0.38 thf(c_0_382, plain, ((epred3_0)|(epred11_0)|(epred5_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372, c_0_373]), c_0_351])).
% 0.92/0.38 thf(c_0_383, plain, ((epred10_0)|(epred1_0)|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374, c_0_375]), c_0_361])).
% 0.92/0.38 thf(c_0_384, plain, ((epred9_0)|(epred1_0)|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376, c_0_377]), c_0_284])).
% 0.92/0.38 thf(c_0_385, plain, ((epred6_0)|~((f2 @ (~($true))))|~((f2 @ (($true))))|~((f1 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_145])).
% 0.92/0.38 thf(c_0_386, plain, ((epred13_0)|(epred6_0)|~((epred4_0))|~((epred16_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310, c_0_257]), c_0_378])).
% 0.92/0.38 thf(c_0_387, plain, ((epred13_0)|~((f2 @ (($true))))|~((f2 @ (~($true))))|~((epred15_0))|~((epred6_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197, c_0_231]), c_0_366])).
% 0.92/0.38 thf(c_0_388, plain, ((epred11_0)|(epred13_0)|~((epred15_0))), inference(spm,[status(thm)],[c_0_366, c_0_379])).
% 0.92/0.38 thf(c_0_389, plain, ((epred16_0)|~((epred14_0))|~((epred13_0))|~((epred14_0))|~((epred13_0))), inference(split_conjunct,[status(thm)],[c_0_124])).
% 0.92/0.38 thf(c_0_390, plain, ((epred5_0)|(epred14_0)|~((f2 @ (~($true))))|~((epred15_0))|~((epred3_0))), inference(spm,[status(thm)],[c_0_195, c_0_286])).
% 0.92/0.38 thf(c_0_391, plain, ((f2 @ (~($true)))|(epred14_0)|~((epred15_0))|~((epred3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253, c_0_316]), c_0_352])).
% 0.92/0.38 thf(c_0_392, plain, ((epred5_0)|(epred13_0)|~((f2 @ (($true))))|~((f2 @ (~($true))))|~((epred15_0))), inference(spm,[status(thm)],[c_0_197, c_0_380])).
% 0.92/0.38 thf(c_0_393, plain, ((epred5_0)|(epred11_0)), inference(spm,[status(thm)],[c_0_381, c_0_382])).
% 0.92/0.38 thf(c_0_394, plain, ((epred1_0)|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335, c_0_383]), c_0_384])).
% 0.92/0.38 thf(c_0_395, plain, ((epred15_0)|(epred4_0)|~((f2 @ (~($true))))|~((epred5_0))|~((epred13_0))), inference(spm,[status(thm)],[c_0_230, c_0_167])).
% 0.92/0.38 thf(c_0_396, plain, ((f2 @ (~($true)))|(epred4_0)|~((epred5_0))|~((epred13_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273, c_0_218]), c_0_352])).
% 0.92/0.38 thf(c_0_397, plain, ((epred13_0)|(epred6_0)|~((f2 @ (($true))))|~((f2 @ (~($true))))|~((epred16_0))), inference(spm,[status(thm)],[c_0_385, c_0_198])).
% 0.92/0.38 thf(c_0_398, plain, ((epred11_0)|(epred6_0)|(epred13_0)|~((epred16_0))), inference(spm,[status(thm)],[c_0_386, c_0_379])).
% 0.92/0.38 thf(c_0_399, plain, ((epred13_0)|~((f2 @ (($true))))|~((epred6_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387, c_0_175]), c_0_388]), c_0_343])).
% 0.92/0.38 thf(c_0_400, plain, ((epred16_0)|~((epred13_0))|~((epred14_0))), inference(cn,[status(thm)],[c_0_389])).
% 0.92/0.38 thf(c_0_401, plain, ((epred14_0)|~((epred15_0))|~((epred3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390, c_0_391]), c_0_352])).
% 0.92/0.38 thf(c_0_402, plain, ((epred13_0)|(epred5_0)|~((f2 @ (($true))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392, c_0_175]), c_0_393]), c_0_351])).
% 0.92/0.38 thf(c_0_403, plain, ((f3 @ (~($true)))|(epred10_0)|~((x))|~((epred12_0))), inference(spm,[status(thm)],[c_0_131, c_0_189])).
% 0.92/0.38 thf(c_0_404, plain, ((epred9_0)|(x)|~((f3 @ (($true))))|~((epred1_0))), inference(spm,[status(thm)],[c_0_39, c_0_60])).
% 0.92/0.38 thf(c_0_405, plain, ((f3 @ (($true)))|(x)|(epred9_0)|~((epred12_0))), inference(spm,[status(thm)],[c_0_190, c_0_94])).
% 0.92/0.38 thf(c_0_406, plain, (~((epred4_0))|~((epred11_0))), inference(spm,[status(thm)],[c_0_271, c_0_394])).
% 0.92/0.38 thf(c_0_407, plain, ((epred4_0)|~((epred5_0))|~((epred13_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395, c_0_396]), c_0_352])).
% 0.92/0.38 thf(c_0_408, plain, ((epred13_0)|~((f2 @ (($true))))|~((epred16_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397, c_0_175]), c_0_398]), c_0_399])).
% 0.92/0.38 thf(c_0_409, plain, ((epred16_0)|~((epred13_0))|~((epred3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400, c_0_401]), c_0_267])).
% 0.92/0.38 thf(c_0_410, plain, ((epred5_0)|(epred13_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402, c_0_225]), c_0_393])).
% 0.92/0.38 thf(c_0_411, plain, ((epred10_0)|~((x))|~((epred1_0))|~((epred12_0))), inference(spm,[status(thm)],[c_0_341, c_0_403])).
% 0.92/0.38 thf(c_0_412, plain, ((x)|(epred9_0)|~((epred1_0))|~((epred12_0))), inference(spm,[status(thm)],[c_0_404, c_0_405])).
% 0.92/0.38 thf(c_0_413, plain, (~((epred11_0))|~((epred5_0))|~((epred13_0))), inference(spm,[status(thm)],[c_0_406, c_0_407])).
% 0.92/0.38 thf(c_0_414, plain, ((epred13_0)|~((epred16_0))|~((epred11_0))), inference(spm,[status(thm)],[c_0_408, c_0_225])).
% 0.92/0.38 thf(c_0_415, plain, ((epred5_0)|(epred16_0)|~((epred3_0))), inference(spm,[status(thm)],[c_0_409, c_0_410])).
% 0.92/0.38 thf(c_0_416, plain, ((epred3_0)|~((epred11_0))), inference(spm,[status(thm)],[c_0_313, c_0_394])).
% 0.92/0.38 thf(c_0_417, plain, ((f3 @ (($true)))|(epred10_0)|~((epred12_0))|~((epred1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188, c_0_40]), c_0_246]), c_0_411])).
% 0.92/0.38 thf(c_0_418, plain, ((f3 @ (($true)))|(epred9_0)|~((epred12_0))|~((epred1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190, c_0_28]), c_0_412]), c_0_248])).
% 0.92/0.38 thf(c_0_419, plain, (~((epred11_0))|~((epred5_0))|~((epred16_0))), inference(spm,[status(thm)],[c_0_413, c_0_414])).
% 0.92/0.38 thf(c_0_420, plain, ((epred16_0)|(epred5_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415, c_0_416]), c_0_393])).
% 0.92/0.38 thf(c_0_421, plain, ((f3 @ (~($true)))|(epred10_0)|~((epred1_0))|~((epred12_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_189]), c_0_417]), c_0_411])).
% 0.92/0.38 thf(c_0_422, plain, ((f3 @ (~($true)))|(epred9_0)|~((epred1_0))|~((epred12_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_191]), c_0_404]), c_0_418])).
% 0.92/0.38 thf(c_0_423, plain, ((epred15_0)|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419, c_0_306]), c_0_351])).
% 0.92/0.38 thf(c_0_424, plain, ((epred5_0)|(epred12_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338, c_0_420]), c_0_351])).
% 0.92/0.38 thf(c_0_425, plain, ((epred10_0)|~((epred1_0))|~((epred12_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_421]), c_0_417])).
% 0.92/0.38 thf(c_0_426, plain, ((epred9_0)|~((epred1_0))|~((epred12_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_422]), c_0_418])).
% 0.92/0.38 thf(c_0_427, negated_conjecture, (~((epred5_0))|~((epred11_0))), inference(spm,[status(thm)],[c_0_352, c_0_423])).
% 0.92/0.38 thf(c_0_428, plain, (epred5_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345, c_0_424]), c_0_393])).
% 0.92/0.38 thf(c_0_429, plain, ((epred15_0)|(epred3_0)|~((f2 @ (($true))))|~((epred5_0))|~((epred14_0))), inference(spm,[status(thm)],[c_0_232, c_0_162])).
% 0.92/0.38 thf(c_0_430, plain, ((f2 @ (($true)))|(epred3_0)|~((epred5_0))|~((epred14_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276, c_0_212]), c_0_352])).
% 0.92/0.38 thf(c_0_431, plain, (~((epred1_0))|~((epred12_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335, c_0_425]), c_0_426])).
% 0.92/0.38 thf(c_0_432, negated_conjecture, ~((epred11_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_427, c_0_428])])).
% 0.92/0.38 thf(c_0_433, plain, ((epred3_0)|~((epred5_0))|~((epred14_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429, c_0_430]), c_0_352])).
% 0.92/0.38 thf(c_0_434, plain, (~((epred12_0))|~((epred3_0))), inference(spm,[status(thm)],[c_0_431, c_0_272])).
% 0.92/0.38 thf(c_0_435, plain, (epred12_0), inference(sr,[status(thm)],[c_0_329, c_0_432])).
% 0.92/0.38 thf(c_0_436, plain, ((epred13_0)|(epred3_0)|~((epred5_0))|~((epred12_0))), inference(spm,[status(thm)],[c_0_433, c_0_266])).
% 0.92/0.38 thf(c_0_437, plain, ~((epred3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_434, c_0_435])])).
% 0.92/0.38 thf(c_0_438, plain, (epred13_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_436, c_0_428])]), c_0_435])]), c_0_437])).
% 0.92/0.38 thf(c_0_439, plain, (epred4_0), inference(sr,[status(thm)],[c_0_379, c_0_432])).
% 0.92/0.38 thf(c_0_440, plain, ~((epred6_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_331, c_0_428])])).
% 0.92/0.38 thf(c_0_441, negated_conjecture, ~((epred15_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_352, c_0_428])])).
% 0.92/0.38 thf(c_0_442, plain, ~((f2 @ (~($true)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_251, c_0_438])]), c_0_432])).
% 0.92/0.38 thf(c_0_443, plain, ((f2 @ (($true)))|~((f1 @ (~($true))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310, c_0_439])]), c_0_440])).
% 0.92/0.38 thf(c_0_444, plain, (f1 @ (~($true))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_218, c_0_438])]), c_0_441]), c_0_442])).
% 0.92/0.38 thf(c_0_445, plain, ~((f2 @ (($true)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194, c_0_438])]), c_0_432])).
% 0.92/0.38 thf(c_0_446, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_443, c_0_444])]), c_0_445]), ['proof']).
% 0.92/0.38 % SZS output end CNFRefutation
% 0.92/0.38 % Parsed axioms : 7
% 0.92/0.38 % Removed by relevancy pruning/SinE : 0
% 0.92/0.38 % Initial clauses : 548
% 0.92/0.38 % Removed in clause preprocessing : 206
% 0.92/0.38 % Initial clauses in saturation : 342
% 0.92/0.38 % Processed clauses : 1507
% 0.92/0.38 % ...of these trivial : 5
% 0.92/0.38 % ...subsumed : 704
% 0.92/0.38 % ...remaining for further processing : 798
% 0.92/0.38 % Other redundant clauses eliminated : 0
% 0.92/0.38 % Clauses deleted for lack of memory : 0
% 0.92/0.38 % Backward-subsumed : 377
% 0.92/0.38 % Backward-rewritten : 174
% 0.92/0.38 % Generated clauses : 3709
% 0.92/0.38 % ...of the previous two non-redundant : 2147
% 0.92/0.38 % ...aggressively subsumed : 0
% 0.92/0.38 % Contextual simplify-reflections : 263
% 0.92/0.38 % Paramodulations : 3691
% 0.92/0.38 % Factorizations : 0
% 0.92/0.38 % NegExts : 0
% 0.92/0.38 % Equation resolutions : 0
% 0.92/0.38 % Disequality decompositions : 0
% 0.92/0.38 % Total rewrite steps : 178
% 0.92/0.38 % ...of those cached : 170
% 0.92/0.38 % Propositional unsat checks : 0
% 0.92/0.38 % Propositional check models : 0
% 0.92/0.38 % Propositional check unsatisfiable : 0
% 0.92/0.38 % Propositional clauses : 0
% 0.92/0.38 % Propositional clauses after purity: 0
% 0.92/0.38 % Propositional unsat core size : 0
% 0.92/0.38 % Propositional preprocessing time : 0.000
% 0.92/0.38 % Propositional encoding time : 0.000
% 0.92/0.38 % Propositional solver time : 0.000
% 0.92/0.38 % Success case prop preproc time : 0.000
% 0.92/0.38 % Success case prop encoding time : 0.000
% 0.92/0.38 % Success case prop solver time : 0.000
% 0.92/0.38 % Current number of processed clauses : 68
% 0.92/0.38 % Positive orientable unit clauses : 8
% 0.92/0.38 % Positive unorientable unit clauses: 0
% 0.92/0.38 % Negative unit clauses : 8
% 0.92/0.38 % Non-unit-clauses : 52
% 0.92/0.38 % Current number of unprocessed clauses: 966
% 0.92/0.38 % ...number of literals in the above : 5259
% 0.92/0.38 % Current number of archived formulas : 0
% 0.92/0.38 % Current number of archived clauses : 730
% 0.92/0.38 % Clause-clause subsumption calls (NU) : 82345
% 0.92/0.38 % Rec. Clause-clause subsumption calls : 28947
% 0.92/0.38 % Non-unit clause-clause subsumptions : 1244
% 0.92/0.38 % Unit Clause-clause subsumption calls : 1552
% 0.92/0.38 % Rewrite failures with RHS unbound : 0
% 0.92/0.38 % BW rewrite match attempts : 8
% 0.92/0.38 % BW rewrite match successes : 8
% 0.92/0.38 % Condensation attempts : 1507
% 0.92/0.38 % Condensation successes : 0
% 0.92/0.38 % Termbank termtop insertions : 86054
% 0.92/0.38 % Search garbage collected termcells : 2930
% 0.92/0.38
% 0.92/0.38 % -------------------------------------------------
% 0.92/0.38 % User time : 0.105 s
% 0.92/0.38 % System time : 0.008 s
% 0.92/0.38 % Total time : 0.113 s
% 0.92/0.38 % Maximum resident set size: 4652 pages
% 0.92/0.38
% 0.92/0.38 % -------------------------------------------------
% 0.92/0.38 % User time : 0.356 s
% 0.92/0.38 % System time : 0.024 s
% 0.92/0.38 % Total time : 0.380 s
% 0.92/0.38 % Maximum resident set size: 5120 pages
% 0.92/0.38 % E exiting
%------------------------------------------------------------------------------