%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO500^1.004 : 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 : n017.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 0.22s 0.32s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO500^1.004 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n017.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 17:06:22 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 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.Y3i0ssgxL6/E---3.1_618918.p
% 0.22/0.32 % Version: 3.5.1-ho
% 0.22/0.32 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.22/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.32 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.32 % Starting ho_unfolding_6 with 300s (1) cores
% 0.22/0.32 % Starting sh4l with 300s (1) cores
% 0.22/0.32 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.22/0.32 % new_ho_10 with pid 618931 completed with status 0
% 0.22/0.32 % Result found by new_ho_10
% 0.22/0.32 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.22/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.32 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.32 % No SInE strategy applied
% 0.22/0.32 % Search class: HGHNF-FSMM00-SFFFFFNN
% 0.22/0.32 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.32 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.32 % Starting new_ho_10 with 151s (1) cores
% 0.22/0.32 % Starting new_bool_3 with 136s (1) cores
% 0.22/0.32 % Starting new_bool_1 with 136s (1) cores
% 0.22/0.32 % Starting new_bool_9 with 136s (1) cores
% 0.22/0.32 % SubtermCWHack with pid 618936 completed with status 0
% 0.22/0.32 % Result found by SubtermCWHack
% 0.22/0.32 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.22/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.32 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.32 % No SInE strategy applied
% 0.22/0.32 % Search class: HGHNF-FSMM00-SFFFFFNN
% 0.22/0.32 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.32 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.32 % Preprocessing time : 0.002 s
% 0.22/0.32
% 0.22/0.32 % Proof found!
% 0.22/0.32 % SZS status Theorem
% 0.22/0.32 % SZS output start CNFRefutation
% 0.22/0.32 thf(decl_23, type, x: $o).
% 0.22/0.32 thf(decl_24, type, f0: $o > $o).
% 0.22/0.32 thf(decl_25, type, f1: $o > $o).
% 0.22/0.32 thf(decl_26, type, f2: $o > $o).
% 0.22/0.32 thf(decl_27, type, f3: $o > $o).
% 0.22/0.32 thf(decl_28, type, epred1_0: $o).
% 0.22/0.32 thf(decl_29, type, epred2_0: $o).
% 0.22/0.32 thf(decl_30, type, epred3_0: $o).
% 0.22/0.32 thf(decl_31, type, epred4_0: $o).
% 0.22/0.32 thf(decl_32, type, epred5_0: $o).
% 0.22/0.32 thf(decl_33, type, epred6_0: $o).
% 0.22/0.32 thf(decl_34, type, epred7_0: $o).
% 0.22/0.32 thf(decl_35, type, epred8_0: $o).
% 0.22/0.32 thf(decl_36, type, epred9_0: $o).
% 0.22/0.32 thf(decl_37, type, epred10_0: $o).
% 0.22/0.32 thf(decl_38, type, epred11_0: $o).
% 0.22/0.32 thf(decl_39, type, epred12_0: $o).
% 0.22/0.32 thf(decl_40, type, epred13_0: $o).
% 0.22/0.32 thf(decl_41, type, epred14_0: $o).
% 0.22/0.32 thf(kaminski4, conjecture, ((f0 @ ((f0 @ ((f0 @ ((f1 @ ((f2 @ ((f2 @ ((f2 @ ((f3 @ ((x)))))))))))))))))<=>(f0 @ ((f1 @ ((f1 @ ((f1 @ ((f2 @ ((f3 @ ((f3 @ ((f3 @ ((x)))))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.Y3i0ssgxL6/E---3.1_618918.p', kaminski4)).
% 0.22/0.32 thf(c_0_1, plain, ((epred9_0)<=>((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))), introduced(definition)).
% 0.22/0.32 thf(c_0_2, plain, ((((~(x)|~(f3 @ $true)|(f3 @ $true)|~(epred9_0))&((x)|~(f3 @ $false)|(f3 @ $true)|~(epred9_0)))&((~(x)|(f3 @ $true)|(f3 @ $false)|~(epred9_0))&((x)|(f3 @ $false)|(f3 @ $false)|~(epred9_0))))&(((((((~(x)|(x)|(~(x)|(x))|(epred9_0))&(~(f3 @ $false)|(x)|(~(x)|(x))|(epred9_0)))&((~(x)|~(f3 @ $true)|(~(x)|(x))|(epred9_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(x)|(x))|(epred9_0))))&(~(f3 @ $false)|(~(x)|(x))|(epred9_0)))&((((~(x)|(x)|((f3 @ $false)|(x))|(epred9_0))&(~(f3 @ $false)|(x)|((f3 @ $false)|(x))|(epred9_0)))&((~(x)|~(f3 @ $true)|((f3 @ $false)|(x))|(epred9_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|(x))|(epred9_0))))&(~(f3 @ $false)|((f3 @ $false)|(x))|(epred9_0))))&(((((~(x)|(x)|(~(x)|(f3 @ $true))|(epred9_0))&(~(f3 @ $false)|(x)|(~(x)|(f3 @ $true))|(epred9_0)))&((~(x)|~(f3 @ $true)|(~(x)|(f3 @ $true))|(epred9_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(x)|(f3 @ $true))|(epred9_0))))&(~(f3 @ $false)|(~(x)|(f3 @ $true))|(epred9_0)))&((((~(x)|(x)|((f3 @ $false)|(f3 @ $true))|(epred9_0))&(~(f3 @ $false)|(x)|((f3 @ $false)|(f3 @ $true))|(epred9_0)))&((~(x)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred9_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred9_0))))&(~(f3 @ $false)|((f3 @ $false)|(f3 @ $true))|(epred9_0)))))&((((~(x)|(x)|~(f3 @ $true)|(epred9_0))&(~(f3 @ $false)|(x)|~(f3 @ $true)|(epred9_0)))&((~(x)|~(f3 @ $true)|~(f3 @ $true)|(epred9_0))&(~(f3 @ $false)|~(f3 @ $true)|~(f3 @ $true)|(epred9_0))))&(~(f3 @ $false)|~(f3 @ $true)|(epred9_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])).
% 0.22/0.32 thf(c_0_3, plain, ((epred2_0)<=>((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))), introduced(definition)).
% 0.22/0.32 thf(c_0_4, plain, ((epred10_0)<=>((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))), introduced(definition)).
% 0.22/0.32 thf(c_0_5, plain, ((epred8_0)<=>((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))), introduced(definition)).
% 0.22/0.32 thf(c_0_6, plain, ((x)|(f3 @ (~($true)))|(f3 @ (~($true)))|~((epred9_0))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.22/0.32 thf(c_0_7, plain, ((((~(x)|~(f3 @ $true)|(f2 @ $true)|~(epred2_0))&((x)|~(f3 @ $false)|(f2 @ $true)|~(epred2_0)))&((~(x)|(f3 @ $true)|(f2 @ $false)|~(epred2_0))&((x)|(f3 @ $false)|(f2 @ $false)|~(epred2_0))))&(((((((~(x)|(x)|(~(x)|(x))|(epred2_0))&(~(f3 @ $false)|(x)|(~(x)|(x))|(epred2_0)))&((~(x)|~(f3 @ $true)|(~(x)|(x))|(epred2_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(x)|(x))|(epred2_0))))&(~(f2 @ $false)|(~(x)|(x))|(epred2_0)))&((((~(x)|(x)|((f3 @ $false)|(x))|(epred2_0))&(~(f3 @ $false)|(x)|((f3 @ $false)|(x))|(epred2_0)))&((~(x)|~(f3 @ $true)|((f3 @ $false)|(x))|(epred2_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|(x))|(epred2_0))))&(~(f2 @ $false)|((f3 @ $false)|(x))|(epred2_0))))&(((((~(x)|(x)|(~(x)|(f3 @ $true))|(epred2_0))&(~(f3 @ $false)|(x)|(~(x)|(f3 @ $true))|(epred2_0)))&((~(x)|~(f3 @ $true)|(~(x)|(f3 @ $true))|(epred2_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(x)|(f3 @ $true))|(epred2_0))))&(~(f2 @ $false)|(~(x)|(f3 @ $true))|(epred2_0)))&((((~(x)|(x)|((f3 @ $false)|(f3 @ $true))|(epred2_0))&(~(f3 @ $false)|(x)|((f3 @ $false)|(f3 @ $true))|(epred2_0)))&((~(x)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred2_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred2_0))))&(~(f2 @ $false)|((f3 @ $false)|(f3 @ $true))|(epred2_0)))))&((((~(x)|(x)|~(f2 @ $true)|(epred2_0))&(~(f3 @ $false)|(x)|~(f2 @ $true)|(epred2_0)))&((~(x)|~(f3 @ $true)|~(f2 @ $true)|(epred2_0))&(~(f3 @ $false)|~(f3 @ $true)|~(f2 @ $true)|(epred2_0))))&(~(f2 @ $false)|~(f2 @ $true)|(epred2_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])).
% 0.22/0.32 thf(c_0_8, plain, ((epred10_0)<=>(((((epred8_0)|~(f3 @ $true))&((epred9_0)|~(f3 @ $false)))|~(f2 @ $true))&((((epred8_0)|(f3 @ $true))&((epred9_0)|(f3 @ $false)))|~(f2 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_4, c_0_5]), c_0_1]), c_0_5]), c_0_1])).
% 0.22/0.32 thf(c_0_9, plain, ((f3 @ (($true)))|(f3 @ (~($true)))|~((x))|~((epred9_0))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.22/0.32 thf(c_0_10, plain, ((x)|(f3 @ (~($true)))|~((epred9_0))), inference(cn,[status(thm)],[c_0_6])).
% 0.22/0.32 thf(c_0_11, plain, ((epred7_0)<=>((((((((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|~(f0 @ $true))&(((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|~(f0 @ $false)))|~(f0 @ $true))&(((((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|(f0 @ $true))&(((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|(f0 @ $false)))|~(f0 @ $false)))|(f0 @ $true))&(((((((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|~(f0 @ $true))&(((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|~(f0 @ $false)))|(f0 @ $true))&(((((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|(f0 @ $true))&(((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|(f0 @ $false)))|(f0 @ $false)))|(f0 @ $false)))), introduced(definition)).
% 0.22/0.32 thf(c_0_12, plain, ((epred5_0)<=>((((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|~(f0 @ $true))&(((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|~(f0 @ $false)))), introduced(definition)).
% 0.22/0.32 thf(c_0_13, plain, ((epred6_0)<=>((((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|(f0 @ $true))&(((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|(f0 @ $false)))), introduced(definition)).
% 0.22/0.32 thf(c_0_14, plain, ((epred1_0)<=>((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))), introduced(definition)).
% 0.22/0.32 thf(c_0_15, plain, ((x)|(f2 @ (($true)))|~((f3 @ (~($true))))|~((epred2_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.22/0.32 thf(c_0_16, plain, ((x)|(f3 @ (~($true)))|(f2 @ (~($true)))|~((epred2_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.22/0.32 thf(c_0_17, plain, ((f3 @ (($true)))|(epred9_0)|~((f3 @ (~($true))))|~((x))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.22/0.32 thf(c_0_18, plain, ((epred9_0)|~((f3 @ (~($true))))|~((f3 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.22/0.32 thf(c_0_19, plain, (((((epred8_0)|~(f3 @ $true)|~(f2 @ $true)|~(epred10_0))&((epred9_0)|~(f3 @ $false)|~(f2 @ $true)|~(epred10_0)))&(((epred8_0)|(f3 @ $true)|~(f2 @ $false)|~(epred10_0))&((epred9_0)|(f3 @ $false)|~(f2 @ $false)|~(epred10_0))))&(((((((~(epred9_0)|~(epred8_0)|(~(epred9_0)|~(epred8_0))|(epred10_0))&(~(f3 @ $false)|~(epred8_0)|(~(epred9_0)|~(epred8_0))|(epred10_0)))&((~(epred9_0)|~(f3 @ $true)|(~(epred9_0)|~(epred8_0))|(epred10_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(epred9_0)|~(epred8_0))|(epred10_0))))&((f2 @ $false)|(~(epred9_0)|~(epred8_0))|(epred10_0)))&((((~(epred9_0)|~(epred8_0)|((f3 @ $false)|~(epred8_0))|(epred10_0))&(~(f3 @ $false)|~(epred8_0)|((f3 @ $false)|~(epred8_0))|(epred10_0)))&((~(epred9_0)|~(f3 @ $true)|((f3 @ $false)|~(epred8_0))|(epred10_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|~(epred8_0))|(epred10_0))))&((f2 @ $false)|((f3 @ $false)|~(epred8_0))|(epred10_0))))&(((((~(epred9_0)|~(epred8_0)|(~(epred9_0)|(f3 @ $true))|(epred10_0))&(~(f3 @ $false)|~(epred8_0)|(~(epred9_0)|(f3 @ $true))|(epred10_0)))&((~(epred9_0)|~(f3 @ $true)|(~(epred9_0)|(f3 @ $true))|(epred10_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(epred9_0)|(f3 @ $true))|(epred10_0))))&((f2 @ $false)|(~(epred9_0)|(f3 @ $true))|(epred10_0)))&((((~(epred9_0)|~(epred8_0)|((f3 @ $false)|(f3 @ $true))|(epred10_0))&(~(f3 @ $false)|~(epred8_0)|((f3 @ $false)|(f3 @ $true))|(epred10_0)))&((~(epred9_0)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred10_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred10_0))))&((f2 @ $false)|((f3 @ $false)|(f3 @ $true))|(epred10_0)))))&((((~(epred9_0)|~(epred8_0)|(f2 @ $true)|(epred10_0))&(~(f3 @ $false)|~(epred8_0)|(f2 @ $true)|(epred10_0)))&((~(epred9_0)|~(f3 @ $true)|(f2 @ $true)|(epred10_0))&(~(f3 @ $false)|~(f3 @ $true)|(f2 @ $true)|(epred10_0))))&((f2 @ $false)|(f2 @ $true)|(epred10_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
% 0.22/0.32 thf(c_0_20, plain, ((x)|(f3 @ (($true)))|~((f3 @ (~($true))))|~((epred9_0))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.22/0.32 thf(c_0_21, plain, ((f3 @ (~($true)))|(f3 @ (($true)))|~((epred9_0))), inference(csr,[status(thm)],[c_0_9, c_0_10])).
% 0.22/0.32 thf(c_0_22, plain, ((epred3_0)<=>((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))), introduced(definition)).
% 0.22/0.32 thf(c_0_23, plain, ((epred4_0)<=>((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|~(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f2 @ $false)))|(f2 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f2 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f2 @ $false)))|(f2 @ $false)))|(f2 @ $false)))), introduced(definition)).
% 0.22/0.32 thf(c_0_24, plain, ((epred7_0)<=>(((((epred5_0)|~(f0 @ $true))&((epred6_0)|~(f0 @ $false)))|(f0 @ $true))&((((epred5_0)|(f0 @ $true))&((epred6_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_11, c_0_12]), c_0_13]), c_0_12]), c_0_13])).
% 0.22/0.32 thf(c_0_25, plain, ((epred11_0)<=>((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))), introduced(definition)).
% 0.22/0.32 thf(c_0_26, plain, ((((~(x)|~(f3 @ $true)|~(f2 @ $true)|~(epred1_0))&((x)|~(f3 @ $false)|~(f2 @ $true)|~(epred1_0)))&((~(x)|(f3 @ $true)|~(f2 @ $false)|~(epred1_0))&((x)|(f3 @ $false)|~(f2 @ $false)|~(epred1_0))))&(((((((~(x)|(x)|(~(x)|(x))|(epred1_0))&(~(f3 @ $false)|(x)|(~(x)|(x))|(epred1_0)))&((~(x)|~(f3 @ $true)|(~(x)|(x))|(epred1_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(x)|(x))|(epred1_0))))&((f2 @ $false)|(~(x)|(x))|(epred1_0)))&((((~(x)|(x)|((f3 @ $false)|(x))|(epred1_0))&(~(f3 @ $false)|(x)|((f3 @ $false)|(x))|(epred1_0)))&((~(x)|~(f3 @ $true)|((f3 @ $false)|(x))|(epred1_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|(x))|(epred1_0))))&((f2 @ $false)|((f3 @ $false)|(x))|(epred1_0))))&(((((~(x)|(x)|(~(x)|(f3 @ $true))|(epred1_0))&(~(f3 @ $false)|(x)|(~(x)|(f3 @ $true))|(epred1_0)))&((~(x)|~(f3 @ $true)|(~(x)|(f3 @ $true))|(epred1_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(x)|(f3 @ $true))|(epred1_0))))&((f2 @ $false)|(~(x)|(f3 @ $true))|(epred1_0)))&((((~(x)|(x)|((f3 @ $false)|(f3 @ $true))|(epred1_0))&(~(f3 @ $false)|(x)|((f3 @ $false)|(f3 @ $true))|(epred1_0)))&((~(x)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred1_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred1_0))))&((f2 @ $false)|((f3 @ $false)|(f3 @ $true))|(epred1_0)))))&((((~(x)|(x)|(f2 @ $true)|(epred1_0))&(~(f3 @ $false)|(x)|(f2 @ $true)|(epred1_0)))&((~(x)|~(f3 @ $true)|(f2 @ $true)|(epred1_0))&(~(f3 @ $false)|~(f3 @ $true)|(f2 @ $true)|(epred1_0))))&((f2 @ $false)|(f2 @ $true)|(epred1_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
% 0.22/0.32 thf(c_0_27, plain, ((f2 @ (($true)))|~((x))|~((f3 @ (($true))))|~((epred2_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.22/0.32 thf(c_0_28, plain, ((f3 @ (($true)))|(f2 @ (~($true)))|~((x))|~((epred2_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.22/0.32 thf(c_0_29, plain, ((f2 @ (~($true)))|(f2 @ (($true)))|(x)|~((epred2_0))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 0.22/0.32 thf(c_0_30, plain, ((epred9_0)|~((f3 @ (~($true))))|~((x))), inference(csr,[status(thm)],[c_0_17, c_0_18])).
% 0.22/0.32 thf(c_0_31, plain, ((f2 @ (~($true)))|(f3 @ (~($true)))|(f3 @ (($true)))|(epred10_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
% 0.22/0.32 thf(c_0_32, plain, ((f2 @ (~($true)))|(f3 @ (($true)))|(epred10_0)|~((epred9_0))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 0.22/0.32 thf(c_0_33, plain, ((x)|(epred2_0)|~((f3 @ (~($true))))|~((f2 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.22/0.32 thf(c_0_34, plain, ((f2 @ (($true)))|(epred10_0)|~((epred9_0))|~((f3 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 0.22/0.32 thf(c_0_35, plain, ((f3 @ (($true)))|(x)|~((epred9_0))), inference(csr,[status(thm)],[c_0_20, c_0_21])).
% 0.22/0.32 thf(c_0_36, plain, ((epred9_0)|~((x))|~((f3 @ (($true))))|~((f3 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.22/0.32 thf(c_0_37, plain, ((((~(x)|~(f3 @ $true)|~(f3 @ $true)|~(epred8_0))&((x)|~(f3 @ $false)|~(f3 @ $true)|~(epred8_0)))&((~(x)|(f3 @ $true)|~(f3 @ $false)|~(epred8_0))&((x)|(f3 @ $false)|~(f3 @ $false)|~(epred8_0))))&(((((((~(x)|(x)|(~(x)|(x))|(epred8_0))&(~(f3 @ $false)|(x)|(~(x)|(x))|(epred8_0)))&((~(x)|~(f3 @ $true)|(~(x)|(x))|(epred8_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(x)|(x))|(epred8_0))))&((f3 @ $false)|(~(x)|(x))|(epred8_0)))&((((~(x)|(x)|((f3 @ $false)|(x))|(epred8_0))&(~(f3 @ $false)|(x)|((f3 @ $false)|(x))|(epred8_0)))&((~(x)|~(f3 @ $true)|((f3 @ $false)|(x))|(epred8_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|(x))|(epred8_0))))&((f3 @ $false)|((f3 @ $false)|(x))|(epred8_0))))&(((((~(x)|(x)|(~(x)|(f3 @ $true))|(epred8_0))&(~(f3 @ $false)|(x)|(~(x)|(f3 @ $true))|(epred8_0)))&((~(x)|~(f3 @ $true)|(~(x)|(f3 @ $true))|(epred8_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(x)|(f3 @ $true))|(epred8_0))))&((f3 @ $false)|(~(x)|(f3 @ $true))|(epred8_0)))&((((~(x)|(x)|((f3 @ $false)|(f3 @ $true))|(epred8_0))&(~(f3 @ $false)|(x)|((f3 @ $false)|(f3 @ $true))|(epred8_0)))&((~(x)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred8_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred8_0))))&((f3 @ $false)|((f3 @ $false)|(f3 @ $true))|(epred8_0)))))&((((~(x)|(x)|(f3 @ $true)|(epred8_0))&(~(f3 @ $false)|(x)|(f3 @ $true)|(epred8_0)))&((~(x)|~(f3 @ $true)|(f3 @ $true)|(epred8_0))&(~(f3 @ $false)|~(f3 @ $true)|(f3 @ $true)|(epred8_0))))&((f3 @ $false)|(f3 @ $true)|(epred8_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
% 0.22/0.32 thf(c_0_38, plain, ((epred6_0)<=>(((((epred3_0)|~(f1 @ $true))&((epred4_0)|~(f1 @ $false)))|(f0 @ $true))&((((epred3_0)|(f1 @ $true))&((epred4_0)|(f1 @ $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_13, c_0_22]), c_0_23]), c_0_22]), c_0_23])).
% 0.22/0.32 thf(c_0_39, plain, (((((epred5_0)|~(f0 @ $true)|(f0 @ $true)|~(epred7_0))&((epred6_0)|~(f0 @ $false)|(f0 @ $true)|~(epred7_0)))&(((epred5_0)|(f0 @ $true)|(f0 @ $false)|~(epred7_0))&((epred6_0)|(f0 @ $false)|(f0 @ $false)|~(epred7_0))))&(((((((~(epred6_0)|~(epred5_0)|(~(epred6_0)|~(epred5_0))|(epred7_0))&(~(f0 @ $false)|~(epred5_0)|(~(epred6_0)|~(epred5_0))|(epred7_0)))&((~(epred6_0)|~(f0 @ $true)|(~(epred6_0)|~(epred5_0))|(epred7_0))&(~(f0 @ $false)|~(f0 @ $true)|(~(epred6_0)|~(epred5_0))|(epred7_0))))&(~(f0 @ $false)|(~(epred6_0)|~(epred5_0))|(epred7_0)))&((((~(epred6_0)|~(epred5_0)|((f0 @ $false)|~(epred5_0))|(epred7_0))&(~(f0 @ $false)|~(epred5_0)|((f0 @ $false)|~(epred5_0))|(epred7_0)))&((~(epred6_0)|~(f0 @ $true)|((f0 @ $false)|~(epred5_0))|(epred7_0))&(~(f0 @ $false)|~(f0 @ $true)|((f0 @ $false)|~(epred5_0))|(epred7_0))))&(~(f0 @ $false)|((f0 @ $false)|~(epred5_0))|(epred7_0))))&(((((~(epred6_0)|~(epred5_0)|(~(epred6_0)|(f0 @ $true))|(epred7_0))&(~(f0 @ $false)|~(epred5_0)|(~(epred6_0)|(f0 @ $true))|(epred7_0)))&((~(epred6_0)|~(f0 @ $true)|(~(epred6_0)|(f0 @ $true))|(epred7_0))&(~(f0 @ $false)|~(f0 @ $true)|(~(epred6_0)|(f0 @ $true))|(epred7_0))))&(~(f0 @ $false)|(~(epred6_0)|(f0 @ $true))|(epred7_0)))&((((~(epred6_0)|~(epred5_0)|((f0 @ $false)|(f0 @ $true))|(epred7_0))&(~(f0 @ $false)|~(epred5_0)|((f0 @ $false)|(f0 @ $true))|(epred7_0)))&((~(epred6_0)|~(f0 @ $true)|((f0 @ $false)|(f0 @ $true))|(epred7_0))&(~(f0 @ $false)|~(f0 @ $true)|((f0 @ $false)|(f0 @ $true))|(epred7_0))))&(~(f0 @ $false)|((f0 @ $false)|(f0 @ $true))|(epred7_0)))))&((((~(epred6_0)|~(epred5_0)|~(f0 @ $true)|(epred7_0))&(~(f0 @ $false)|~(epred5_0)|~(f0 @ $true)|(epred7_0)))&((~(epred6_0)|~(f0 @ $true)|~(f0 @ $true)|(epred7_0))&(~(f0 @ $false)|~(f0 @ $true)|~(f0 @ $true)|(epred7_0))))&(~(f0 @ $false)|~(f0 @ $true)|(epred7_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])).
% 0.22/0.32 thf(c_0_40, plain, ((epred11_0)<=>(((((epred8_0)|~(f3 @ $true))&((epred9_0)|~(f3 @ $false)))|(f2 @ $true))&((((epred8_0)|(f3 @ $true))&((epred9_0)|(f3 @ $false)))|(f2 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_25, c_0_5]), c_0_1]), c_0_5]), c_0_1])).
% 0.22/0.32 thf(c_0_41, plain, ((x)|(f3 @ (~($true)))|~((f2 @ (~($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.22/0.32 thf(c_0_42, plain, ((f2 @ (~($true)))|(f2 @ (($true)))|~((epred2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])).
% 0.22/0.32 thf(c_0_43, plain, ((epred2_0)|~((x))|~((f3 @ (($true))))|~((f2 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.22/0.32 thf(c_0_44, plain, ((f3 @ (($true)))|(f2 @ (~($true)))|(epred10_0)|~((x))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32])).
% 0.22/0.32 thf(c_0_45, plain, ((f2 @ (~($true)))|(f2 @ (($true)))|(epred10_0)), inference(split_conjunct,[status(thm)],[c_0_19])).
% 0.22/0.32 thf(c_0_46, plain, ((x)|(epred2_0)|~((f2 @ (($true))))|~((epred9_0))), inference(spm,[status(thm)],[c_0_33, c_0_10])).
% 0.22/0.32 thf(c_0_47, plain, ((f2 @ (($true)))|(x)|(epred10_0)|~((epred9_0))), inference(spm,[status(thm)],[c_0_34, c_0_35])).
% 0.22/0.32 thf(c_0_48, plain, ((epred9_0)|~((x))|~((f3 @ (($true))))), inference(cn,[status(thm)],[c_0_36])).
% 0.22/0.32 thf(c_0_49, plain, ((f3 @ (($true)))|(epred2_0)|~((f2 @ (~($true))))|~((x))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.22/0.32 thf(c_0_50, plain, ((f3 @ (~($true)))|(f3 @ (~($true)))|(x)|(epred8_0)), inference(split_conjunct,[status(thm)],[c_0_37])).
% 0.22/0.32 thf(c_0_51, plain, ((x)|(f3 @ (($true)))|(epred8_0)|~((f3 @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_37])).
% 0.22/0.32 thf(c_0_52, plain, ((f3 @ (~($true)))|(f3 @ (($true)))|(epred8_0)), inference(split_conjunct,[status(thm)],[c_0_37])).
% 0.22/0.32 thf(c_0_53, plain, (((((epred3_0)|~(f1 @ $true)|(f0 @ $true)|~(epred6_0))&((epred4_0)|~(f1 @ $false)|(f0 @ $true)|~(epred6_0)))&(((epred3_0)|(f1 @ $true)|(f0 @ $false)|~(epred6_0))&((epred4_0)|(f1 @ $false)|(f0 @ $false)|~(epred6_0))))&(((((((~(epred4_0)|~(epred3_0)|(~(epred4_0)|~(epred3_0))|(epred6_0))&(~(f1 @ $false)|~(epred3_0)|(~(epred4_0)|~(epred3_0))|(epred6_0)))&((~(epred4_0)|~(f1 @ $true)|(~(epred4_0)|~(epred3_0))|(epred6_0))&(~(f1 @ $false)|~(f1 @ $true)|(~(epred4_0)|~(epred3_0))|(epred6_0))))&(~(f0 @ $false)|(~(epred4_0)|~(epred3_0))|(epred6_0)))&((((~(epred4_0)|~(epred3_0)|((f1 @ $false)|~(epred3_0))|(epred6_0))&(~(f1 @ $false)|~(epred3_0)|((f1 @ $false)|~(epred3_0))|(epred6_0)))&((~(epred4_0)|~(f1 @ $true)|((f1 @ $false)|~(epred3_0))|(epred6_0))&(~(f1 @ $false)|~(f1 @ $true)|((f1 @ $false)|~(epred3_0))|(epred6_0))))&(~(f0 @ $false)|((f1 @ $false)|~(epred3_0))|(epred6_0))))&(((((~(epred4_0)|~(epred3_0)|(~(epred4_0)|(f1 @ $true))|(epred6_0))&(~(f1 @ $false)|~(epred3_0)|(~(epred4_0)|(f1 @ $true))|(epred6_0)))&((~(epred4_0)|~(f1 @ $true)|(~(epred4_0)|(f1 @ $true))|(epred6_0))&(~(f1 @ $false)|~(f1 @ $true)|(~(epred4_0)|(f1 @ $true))|(epred6_0))))&(~(f0 @ $false)|(~(epred4_0)|(f1 @ $true))|(epred6_0)))&((((~(epred4_0)|~(epred3_0)|((f1 @ $false)|(f1 @ $true))|(epred6_0))&(~(f1 @ $false)|~(epred3_0)|((f1 @ $false)|(f1 @ $true))|(epred6_0)))&((~(epred4_0)|~(f1 @ $true)|((f1 @ $false)|(f1 @ $true))|(epred6_0))&(~(f1 @ $false)|~(f1 @ $true)|((f1 @ $false)|(f1 @ $true))|(epred6_0))))&(~(f0 @ $false)|((f1 @ $false)|(f1 @ $true))|(epred6_0)))))&((((~(epred4_0)|~(epred3_0)|~(f0 @ $true)|(epred6_0))&(~(f1 @ $false)|~(epred3_0)|~(f0 @ $true)|(epred6_0)))&((~(epred4_0)|~(f1 @ $true)|~(f0 @ $true)|(epred6_0))&(~(f1 @ $false)|~(f1 @ $true)|~(f0 @ $true)|(epred6_0))))&(~(f0 @ $false)|~(f0 @ $true)|(epred6_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])).
% 0.22/0.32 thf(c_0_54, plain, ((epred6_0)|(f0 @ (~($true)))|(f0 @ (~($true)))|~((epred7_0))), inference(split_conjunct,[status(thm)],[c_0_39])).
% 0.22/0.32 thf(c_0_55, negated_conjecture, ~(((f0 @ ((f0 @ ((f0 @ ((f1 @ ((f2 @ ((f2 @ ((f2 @ ((f3 @ ((x)))))))))))))))))<=>(f0 @ ((f1 @ ((f1 @ ((f1 @ ((f2 @ ((f3 @ ((f3 @ ((f3 @ ((x))))))))))))))))))), inference(assume_negation,[status(cth)],[kaminski4])).
% 0.22/0.32 thf(c_0_56, plain, ((epred14_0)<=>((((((((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|~(f1 @ $true))&(((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|~(f1 @ $false)))|~(f1 @ $true))&(((((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|(f1 @ $true))&(((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|(f1 @ $false)))|~(f1 @ $false)))|(f0 @ $true))&(((((((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|~(f1 @ $true))&(((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|~(f1 @ $false)))|(f1 @ $true))&(((((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|(f1 @ $true))&(((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|(f1 @ $false)))|(f1 @ $false)))|(f0 @ $false)))), introduced(definition)).
% 0.22/0.32 thf(c_0_57, plain, ((epred13_0)<=>((((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|(f1 @ $true))&(((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|(f1 @ $false)))), introduced(definition)).
% 0.22/0.32 thf(c_0_58, plain, ((x)|(f2 @ (($true)))|(epred1_0)|~((f3 @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.22/0.32 thf(c_0_59, plain, ((f3 @ (~($true)))|(x)|(epred2_0)|~((f2 @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.22/0.32 thf(c_0_60, plain, ((f2 @ (~($true)))|(f2 @ (($true)))|(epred1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.22/0.32 thf(c_0_61, plain, (((((epred8_0)|~(f3 @ $true)|(f2 @ $true)|~(epred11_0))&((epred9_0)|~(f3 @ $false)|(f2 @ $true)|~(epred11_0)))&(((epred8_0)|(f3 @ $true)|(f2 @ $false)|~(epred11_0))&((epred9_0)|(f3 @ $false)|(f2 @ $false)|~(epred11_0))))&(((((((~(epred9_0)|~(epred8_0)|(~(epred9_0)|~(epred8_0))|(epred11_0))&(~(f3 @ $false)|~(epred8_0)|(~(epred9_0)|~(epred8_0))|(epred11_0)))&((~(epred9_0)|~(f3 @ $true)|(~(epred9_0)|~(epred8_0))|(epred11_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(epred9_0)|~(epred8_0))|(epred11_0))))&(~(f2 @ $false)|(~(epred9_0)|~(epred8_0))|(epred11_0)))&((((~(epred9_0)|~(epred8_0)|((f3 @ $false)|~(epred8_0))|(epred11_0))&(~(f3 @ $false)|~(epred8_0)|((f3 @ $false)|~(epred8_0))|(epred11_0)))&((~(epred9_0)|~(f3 @ $true)|((f3 @ $false)|~(epred8_0))|(epred11_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|~(epred8_0))|(epred11_0))))&(~(f2 @ $false)|((f3 @ $false)|~(epred8_0))|(epred11_0))))&(((((~(epred9_0)|~(epred8_0)|(~(epred9_0)|(f3 @ $true))|(epred11_0))&(~(f3 @ $false)|~(epred8_0)|(~(epred9_0)|(f3 @ $true))|(epred11_0)))&((~(epred9_0)|~(f3 @ $true)|(~(epred9_0)|(f3 @ $true))|(epred11_0))&(~(f3 @ $false)|~(f3 @ $true)|(~(epred9_0)|(f3 @ $true))|(epred11_0))))&(~(f2 @ $false)|(~(epred9_0)|(f3 @ $true))|(epred11_0)))&((((~(epred9_0)|~(epred8_0)|((f3 @ $false)|(f3 @ $true))|(epred11_0))&(~(f3 @ $false)|~(epred8_0)|((f3 @ $false)|(f3 @ $true))|(epred11_0)))&((~(epred9_0)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred11_0))&(~(f3 @ $false)|~(f3 @ $true)|((f3 @ $false)|(f3 @ $true))|(epred11_0))))&(~(f2 @ $false)|((f3 @ $false)|(f3 @ $true))|(epred11_0)))))&((((~(epred9_0)|~(epred8_0)|~(f2 @ $true)|(epred11_0))&(~(f3 @ $false)|~(epred8_0)|~(f2 @ $true)|(epred11_0)))&((~(epred9_0)|~(f3 @ $true)|~(f2 @ $true)|(epred11_0))&(~(f3 @ $false)|~(f3 @ $true)|~(f2 @ $true)|(epred11_0))))&(~(f2 @ $false)|~(f2 @ $true)|(epred11_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])).
% 0.22/0.32 thf(c_0_62, plain, ((x)|~((f3 @ (~($true))))|~((f2 @ (($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.22/0.32 thf(c_0_63, plain, ((f3 @ (($true)))|~((x))|~((f2 @ (~($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.22/0.32 thf(c_0_64, plain, ((f2 @ (($true)))|(x)|~((epred2_0))|~((epred1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_41]), c_0_42])).
% 0.22/0.32 thf(c_0_65, plain, ((epred4_0)<=>(((((epred1_0)|~(f2 @ $true))&((epred2_0)|~(f2 @ $false)))|(f2 @ $true))&((((epred1_0)|(f2 @ $true))&((epred2_0)|(f2 @ $false)))|(f2 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23, c_0_14]), c_0_3]), c_0_14]), c_0_3])).
% 0.22/0.32 thf(c_0_66, plain, ((epred2_0)|~((f2 @ (~($true))))|~((f2 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.22/0.32 thf(c_0_67, plain, ((f2 @ (~($true)))|(epred10_0)|(epred2_0)|~((x))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45])).
% 0.22/0.32 thf(c_0_68, plain, ((epred10_0)|(epred2_0)|(x)|~((epred9_0))), inference(spm,[status(thm)],[c_0_46, c_0_47])).
% 0.22/0.32 thf(c_0_69, plain, ((epred2_0)|(epred9_0)|~((f2 @ (~($true))))|~((x))), inference(spm,[status(thm)],[c_0_48, c_0_49])).
% 0.22/0.32 thf(c_0_70, plain, ((f2 @ (~($true)))|(epred10_0)|(epred9_0)|~((x))), inference(spm,[status(thm)],[c_0_48, c_0_44])).
% 0.22/0.32 thf(c_0_71, plain, ((x)|(epred8_0)|(f3 @ (~($true)))), inference(cn,[status(thm)],[c_0_50])).
% 0.22/0.32 thf(c_0_72, plain, ((f2 @ (($true)))|(epred10_0)|~((f3 @ (~($true))))|~((f3 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 0.22/0.32 thf(c_0_73, plain, ((f3 @ (($true)))|(epred8_0)|(x)), inference(csr,[status(thm)],[c_0_51, c_0_52])).
% 0.22/0.32 thf(c_0_74, plain, (~((x))|~((f3 @ (($true))))|~((f3 @ (($true))))|~((epred8_0))), inference(split_conjunct,[status(thm)],[c_0_37])).
% 0.22/0.32 thf(c_0_75, plain, ((epred12_0)<=>((((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|~(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|~(f1 @ $false)))|~(f1 @ $true))&(((((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|~(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|~(f2 @ $false)))|(f1 @ $true))&(((((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|~(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|~(f3 @ $false)))|(f2 @ $true))&(((((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|~(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|~(f3 @ $false)))|(f3 @ $true))&(((((~(x)|~(f3 @ $true))&((x)|~(f3 @ $false)))|(f3 @ $true))&(((~(x)|(f3 @ $true))&((x)|(f3 @ $false)))|(f3 @ $false)))|(f3 @ $false)))|(f2 @ $false)))|(f1 @ $false)))|~(f1 @ $false)))), introduced(definition)).
% 0.22/0.32 thf(c_0_76, plain, ((epred6_0)|~((f0 @ (~($true))))|~((f0 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_53])).
% 0.22/0.32 thf(c_0_77, plain, ((epred6_0)|(f0 @ (~($true)))|~((epred7_0))), inference(cn,[status(thm)],[c_0_54])).
% 0.22/0.32 thf(c_0_78, negated_conjecture, ~(((epred7_0)<=>(epred14_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_55]), c_0_11]), c_0_56])).
% 0.22/0.32 thf(c_0_79, plain, ((epred13_0)<=>(((((epred10_0)|~(f1 @ $true))&((epred11_0)|~(f1 @ $false)))|(f1 @ $true))&((((epred10_0)|(f1 @ $true))&((epred11_0)|(f1 @ $false)))|(f1 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_57, c_0_4]), c_0_25]), c_0_4]), c_0_25])).
% 0.22/0.32 thf(c_0_80, plain, ((f2 @ (($true)))|(epred1_0)|~((x))|~((f3 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.22/0.32 thf(c_0_81, plain, ((f2 @ (($true)))|(epred2_0)|(x)|(epred1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_60])).
% 0.22/0.32 thf(c_0_82, plain, ((f3 @ (($true)))|(epred11_0)|~((f2 @ (~($true))))|~((epred9_0))), inference(split_conjunct,[status(thm)],[c_0_61])).
% 0.22/0.32 thf(c_0_83, plain, (~((x))|~((f3 @ (($true))))|~((f2 @ (($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.22/0.32 thf(c_0_84, plain, ((x)|~((f2 @ (($true))))|~((f2 @ (~($true))))|~((epred1_0))), inference(spm,[status(thm)],[c_0_62, c_0_41])).
% 0.22/0.32 thf(c_0_85, plain, ((f2 @ (($true)))|~((epred2_0))|~((epred1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_63]), c_0_64]), c_0_42])).
% 0.22/0.32 thf(c_0_86, plain, (((((epred1_0)|~(f2 @ $true)|(f2 @ $true)|~(epred4_0))&((epred2_0)|~(f2 @ $false)|(f2 @ $true)|~(epred4_0)))&(((epred1_0)|(f2 @ $true)|(f2 @ $false)|~(epred4_0))&((epred2_0)|(f2 @ $false)|(f2 @ $false)|~(epred4_0))))&(((((((~(epred2_0)|~(epred1_0)|(~(epred2_0)|~(epred1_0))|(epred4_0))&(~(f2 @ $false)|~(epred1_0)|(~(epred2_0)|~(epred1_0))|(epred4_0)))&((~(epred2_0)|~(f2 @ $true)|(~(epred2_0)|~(epred1_0))|(epred4_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred2_0)|~(epred1_0))|(epred4_0))))&(~(f2 @ $false)|(~(epred2_0)|~(epred1_0))|(epred4_0)))&((((~(epred2_0)|~(epred1_0)|((f2 @ $false)|~(epred1_0))|(epred4_0))&(~(f2 @ $false)|~(epred1_0)|((f2 @ $false)|~(epred1_0))|(epred4_0)))&((~(epred2_0)|~(f2 @ $true)|((f2 @ $false)|~(epred1_0))|(epred4_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|~(epred1_0))|(epred4_0))))&(~(f2 @ $false)|((f2 @ $false)|~(epred1_0))|(epred4_0))))&(((((~(epred2_0)|~(epred1_0)|(~(epred2_0)|(f2 @ $true))|(epred4_0))&(~(f2 @ $false)|~(epred1_0)|(~(epred2_0)|(f2 @ $true))|(epred4_0)))&((~(epred2_0)|~(f2 @ $true)|(~(epred2_0)|(f2 @ $true))|(epred4_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred2_0)|(f2 @ $true))|(epred4_0))))&(~(f2 @ $false)|(~(epred2_0)|(f2 @ $true))|(epred4_0)))&((((~(epred2_0)|~(epred1_0)|((f2 @ $false)|(f2 @ $true))|(epred4_0))&(~(f2 @ $false)|~(epred1_0)|((f2 @ $false)|(f2 @ $true))|(epred4_0)))&((~(epred2_0)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred4_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred4_0))))&(~(f2 @ $false)|((f2 @ $false)|(f2 @ $true))|(epred4_0)))))&((((~(epred2_0)|~(epred1_0)|~(f2 @ $true)|(epred4_0))&(~(f2 @ $false)|~(epred1_0)|~(f2 @ $true)|(epred4_0)))&((~(epred2_0)|~(f2 @ $true)|~(f2 @ $true)|(epred4_0))&(~(f2 @ $false)|~(f2 @ $true)|~(f2 @ $true)|(epred4_0))))&(~(f2 @ $false)|~(f2 @ $true)|(epred4_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])).
% 0.22/0.32 thf(c_0_87, plain, ((epred10_0)|(epred2_0)|~((f2 @ (($true))))|~((x))), inference(spm,[status(thm)],[c_0_66, c_0_67])).
% 0.22/0.32 thf(c_0_88, plain, ((f2 @ (($true)))|(epred2_0)|(epred10_0)|~((epred9_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_49]), c_0_68]), c_0_45])).
% 0.22/0.32 thf(c_0_89, plain, ((epred10_0)|(epred9_0)|(epred2_0)|~((x))), inference(spm,[status(thm)],[c_0_69, c_0_70])).
% 0.22/0.32 thf(c_0_90, plain, ((epred8_0)|(x)|(epred2_0)|~((f2 @ (($true))))), inference(spm,[status(thm)],[c_0_33, c_0_71])).
% 0.22/0.32 thf(c_0_91, plain, ((f2 @ (($true)))|(x)|(epred8_0)|(epred10_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_71]), c_0_73])).
% 0.22/0.32 thf(c_0_92, plain, ((f3 @ (($true)))|~((x))|~((f3 @ (~($true))))|~((epred8_0))), inference(split_conjunct,[status(thm)],[c_0_37])).
% 0.22/0.32 thf(c_0_93, plain, (~((x))|~((epred8_0))|~((f3 @ (($true))))), inference(cn,[status(thm)],[c_0_74])).
% 0.22/0.32 thf(c_0_94, plain, ((epred7_0)|~((epred6_0))|~((f0 @ (($true))))|~((f0 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_39])).
% 0.22/0.32 thf(c_0_95, plain, ((epred5_0)<=>(((((epred3_0)|~(f1 @ $true))&((epred4_0)|~(f1 @ $false)))|~(f0 @ $true))&((((epred3_0)|(f1 @ $true))&((epred4_0)|(f1 @ $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_22]), c_0_23]), c_0_22]), c_0_23])).
% 0.22/0.32 thf(c_0_96, plain, ((epred14_0)<=>(((((epred12_0)|~(f1 @ $true))&((epred13_0)|~(f1 @ $false)))|(f0 @ $true))&((((epred12_0)|(f1 @ $true))&((epred13_0)|(f1 @ $false)))|(f0 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_56, c_0_75]), c_0_57]), c_0_75]), c_0_57])).
% 0.22/0.32 thf(c_0_97, plain, ((epred6_0)|(f0 @ (($true)))|~((f0 @ (~($true))))|~((epred7_0))), inference(split_conjunct,[status(thm)],[c_0_39])).
% 0.22/0.32 thf(c_0_98, plain, ((epred6_0)|~((f0 @ (($true))))|~((epred7_0))), inference(spm,[status(thm)],[c_0_76, c_0_77])).
% 0.22/0.32 thf(c_0_99, negated_conjecture, ((~(epred7_0)|~(epred14_0))&((epred7_0)|(epred14_0))), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])).
% 0.22/0.32 thf(c_0_100, plain, (((((epred10_0)|~(f1 @ $true)|(f1 @ $true)|~(epred13_0))&((epred11_0)|~(f1 @ $false)|(f1 @ $true)|~(epred13_0)))&(((epred10_0)|(f1 @ $true)|(f1 @ $false)|~(epred13_0))&((epred11_0)|(f1 @ $false)|(f1 @ $false)|~(epred13_0))))&(((((((~(epred11_0)|~(epred10_0)|(~(epred11_0)|~(epred10_0))|(epred13_0))&(~(f1 @ $false)|~(epred10_0)|(~(epred11_0)|~(epred10_0))|(epred13_0)))&((~(epred11_0)|~(f1 @ $true)|(~(epred11_0)|~(epred10_0))|(epred13_0))&(~(f1 @ $false)|~(f1 @ $true)|(~(epred11_0)|~(epred10_0))|(epred13_0))))&(~(f1 @ $false)|(~(epred11_0)|~(epred10_0))|(epred13_0)))&((((~(epred11_0)|~(epred10_0)|((f1 @ $false)|~(epred10_0))|(epred13_0))&(~(f1 @ $false)|~(epred10_0)|((f1 @ $false)|~(epred10_0))|(epred13_0)))&((~(epred11_0)|~(f1 @ $true)|((f1 @ $false)|~(epred10_0))|(epred13_0))&(~(f1 @ $false)|~(f1 @ $true)|((f1 @ $false)|~(epred10_0))|(epred13_0))))&(~(f1 @ $false)|((f1 @ $false)|~(epred10_0))|(epred13_0))))&(((((~(epred11_0)|~(epred10_0)|(~(epred11_0)|(f1 @ $true))|(epred13_0))&(~(f1 @ $false)|~(epred10_0)|(~(epred11_0)|(f1 @ $true))|(epred13_0)))&((~(epred11_0)|~(f1 @ $true)|(~(epred11_0)|(f1 @ $true))|(epred13_0))&(~(f1 @ $false)|~(f1 @ $true)|(~(epred11_0)|(f1 @ $true))|(epred13_0))))&(~(f1 @ $false)|(~(epred11_0)|(f1 @ $true))|(epred13_0)))&((((~(epred11_0)|~(epred10_0)|((f1 @ $false)|(f1 @ $true))|(epred13_0))&(~(f1 @ $false)|~(epred10_0)|((f1 @ $false)|(f1 @ $true))|(epred13_0)))&((~(epred11_0)|~(f1 @ $true)|((f1 @ $false)|(f1 @ $true))|(epred13_0))&(~(f1 @ $false)|~(f1 @ $true)|((f1 @ $false)|(f1 @ $true))|(epred13_0))))&(~(f1 @ $false)|((f1 @ $false)|(f1 @ $true))|(epred13_0)))))&((((~(epred11_0)|~(epred10_0)|~(f1 @ $true)|(epred13_0))&(~(f1 @ $false)|~(epred10_0)|~(f1 @ $true)|(epred13_0)))&((~(epred11_0)|~(f1 @ $true)|~(f1 @ $true)|(epred13_0))&(~(f1 @ $false)|~(f1 @ $true)|~(f1 @ $true)|(epred13_0))))&(~(f1 @ $false)|~(f1 @ $true)|(epred13_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])).
% 0.22/0.32 thf(c_0_101, plain, ((epred12_0)<=>(((((epred10_0)|~(f1 @ $true))&((epred11_0)|~(f1 @ $false)))|~(f1 @ $true))&((((epred10_0)|(f1 @ $true))&((epred11_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_75, c_0_4]), c_0_25]), c_0_4]), c_0_25])).
% 0.22/0.32 thf(c_0_102, plain, ((epred3_0)<=>(((((epred1_0)|~(f2 @ $true))&((epred2_0)|~(f2 @ $false)))|~(f2 @ $true))&((((epred1_0)|(f2 @ $true))&((epred2_0)|(f2 @ $false)))|~(f2 @ $false)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_22, c_0_14]), c_0_3]), c_0_14]), c_0_3])).
% 0.22/0.32 thf(c_0_103, plain, ((f2 @ (~($true)))|(f3 @ (~($true)))|(x)|(epred1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.22/0.32 thf(c_0_104, plain, ((f2 @ (($true)))|(epred2_0)|(epred1_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_49]), c_0_81]), c_0_60])).
% 0.22/0.32 thf(c_0_105, plain, ((epred11_0)|~((epred9_0))|~((f3 @ (($true))))|~((f2 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_61])).
% 0.22/0.32 thf(c_0_106, plain, ((f2 @ (($true)))|(epred11_0)|(epred10_0)|~((epred9_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_82]), c_0_45])).
% 0.22/0.32 thf(c_0_107, plain, ((epred8_0)|(epred9_0)|~((f3 @ (($true))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_71]), c_0_48])).
% 0.22/0.32 thf(c_0_108, plain, (~((f2 @ (($true))))|~((f2 @ (~($true))))|~((epred1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_63]), c_0_84])).
% 0.22/0.32 thf(c_0_109, plain, ((f2 @ (~($true)))|(x)|~((epred1_0))|~((epred2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_16]), c_0_85])).
% 0.22/0.32 thf(c_0_110, plain, ((epred2_0)|(f2 @ (~($true)))|(f2 @ (~($true)))|~((epred4_0))), inference(split_conjunct,[status(thm)],[c_0_86])).
% 0.22/0.32 thf(c_0_111, plain, ((epred2_0)|(epred10_0)|~((x))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_88]), c_0_89])).
% 0.22/0.32 thf(c_0_112, plain, ((epred10_0)|(epred2_0)|(x)|(epred8_0)), inference(spm,[status(thm)],[c_0_90, c_0_91])).
% 0.22/0.32 thf(c_0_113, plain, (~((f3 @ (~($true))))|~((x))|~((epred8_0))), inference(csr,[status(thm)],[c_0_92, c_0_93])).
% 0.22/0.32 thf(c_0_114, plain, ((f2 @ (~($true)))|(f3 @ (~($true)))|(epred10_0)|~((epred8_0))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 0.22/0.32 thf(c_0_115, plain, ((f0 @ (($true)))|(epred7_0)|~((f0 @ (~($true))))|~((epred6_0))), inference(split_conjunct,[status(thm)],[c_0_39])).
% 0.22/0.32 thf(c_0_116, plain, ((epred7_0)|~((epred6_0))|~((f0 @ (($true))))), inference(cn,[status(thm)],[c_0_94])).
% 0.22/0.32 thf(c_0_117, plain, (((((epred3_0)|~(f1 @ $true)|~(f0 @ $true)|~(epred5_0))&((epred4_0)|~(f1 @ $false)|~(f0 @ $true)|~(epred5_0)))&(((epred3_0)|(f1 @ $true)|~(f0 @ $false)|~(epred5_0))&((epred4_0)|(f1 @ $false)|~(f0 @ $false)|~(epred5_0))))&(((((((~(epred4_0)|~(epred3_0)|(~(epred4_0)|~(epred3_0))|(epred5_0))&(~(f1 @ $false)|~(epred3_0)|(~(epred4_0)|~(epred3_0))|(epred5_0)))&((~(epred4_0)|~(f1 @ $true)|(~(epred4_0)|~(epred3_0))|(epred5_0))&(~(f1 @ $false)|~(f1 @ $true)|(~(epred4_0)|~(epred3_0))|(epred5_0))))&((f0 @ $false)|(~(epred4_0)|~(epred3_0))|(epred5_0)))&((((~(epred4_0)|~(epred3_0)|((f1 @ $false)|~(epred3_0))|(epred5_0))&(~(f1 @ $false)|~(epred3_0)|((f1 @ $false)|~(epred3_0))|(epred5_0)))&((~(epred4_0)|~(f1 @ $true)|((f1 @ $false)|~(epred3_0))|(epred5_0))&(~(f1 @ $false)|~(f1 @ $true)|((f1 @ $false)|~(epred3_0))|(epred5_0))))&((f0 @ $false)|((f1 @ $false)|~(epred3_0))|(epred5_0))))&(((((~(epred4_0)|~(epred3_0)|(~(epred4_0)|(f1 @ $true))|(epred5_0))&(~(f1 @ $false)|~(epred3_0)|(~(epred4_0)|(f1 @ $true))|(epred5_0)))&((~(epred4_0)|~(f1 @ $true)|(~(epred4_0)|(f1 @ $true))|(epred5_0))&(~(f1 @ $false)|~(f1 @ $true)|(~(epred4_0)|(f1 @ $true))|(epred5_0))))&((f0 @ $false)|(~(epred4_0)|(f1 @ $true))|(epred5_0)))&((((~(epred4_0)|~(epred3_0)|((f1 @ $false)|(f1 @ $true))|(epred5_0))&(~(f1 @ $false)|~(epred3_0)|((f1 @ $false)|(f1 @ $true))|(epred5_0)))&((~(epred4_0)|~(f1 @ $true)|((f1 @ $false)|(f1 @ $true))|(epred5_0))&(~(f1 @ $false)|~(f1 @ $true)|((f1 @ $false)|(f1 @ $true))|(epred5_0))))&((f0 @ $false)|((f1 @ $false)|(f1 @ $true))|(epred5_0)))))&((((~(epred4_0)|~(epred3_0)|(f0 @ $true)|(epred5_0))&(~(f1 @ $false)|~(epred3_0)|(f0 @ $true)|(epred5_0)))&((~(epred4_0)|~(f1 @ $true)|(f0 @ $true)|(epred5_0))&(~(f1 @ $false)|~(f1 @ $true)|(f0 @ $true)|(epred5_0))))&((f0 @ $false)|(f0 @ $true)|(epred5_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])])).
% 0.22/0.32 thf(c_0_118, plain, ((epred7_0)|~((epred6_0))|~((epred5_0))|~((epred6_0))|~((epred5_0))), inference(split_conjunct,[status(thm)],[c_0_39])).
% 0.22/0.32 thf(c_0_119, plain, (((((epred12_0)|~(f1 @ $true)|(f0 @ $true)|~(epred14_0))&((epred13_0)|~(f1 @ $false)|(f0 @ $true)|~(epred14_0)))&(((epred12_0)|(f1 @ $true)|(f0 @ $false)|~(epred14_0))&((epred13_0)|(f1 @ $false)|(f0 @ $false)|~(epred14_0))))&(((((((~(epred13_0)|~(epred12_0)|(~(epred13_0)|~(epred12_0))|(epred14_0))&(~(f1 @ $false)|~(epred12_0)|(~(epred13_0)|~(epred12_0))|(epred14_0)))&((~(epred13_0)|~(f1 @ $true)|(~(epred13_0)|~(epred12_0))|(epred14_0))&(~(f1 @ $false)|~(f1 @ $true)|(~(epred13_0)|~(epred12_0))|(epred14_0))))&(~(f0 @ $false)|(~(epred13_0)|~(epred12_0))|(epred14_0)))&((((~(epred13_0)|~(epred12_0)|((f1 @ $false)|~(epred12_0))|(epred14_0))&(~(f1 @ $false)|~(epred12_0)|((f1 @ $false)|~(epred12_0))|(epred14_0)))&((~(epred13_0)|~(f1 @ $true)|((f1 @ $false)|~(epred12_0))|(epred14_0))&(~(f1 @ $false)|~(f1 @ $true)|((f1 @ $false)|~(epred12_0))|(epred14_0))))&(~(f0 @ $false)|((f1 @ $false)|~(epred12_0))|(epred14_0))))&(((((~(epred13_0)|~(epred12_0)|(~(epred13_0)|(f1 @ $true))|(epred14_0))&(~(f1 @ $false)|~(epred12_0)|(~(epred13_0)|(f1 @ $true))|(epred14_0)))&((~(epred13_0)|~(f1 @ $true)|(~(epred13_0)|(f1 @ $true))|(epred14_0))&(~(f1 @ $false)|~(f1 @ $true)|(~(epred13_0)|(f1 @ $true))|(epred14_0))))&(~(f0 @ $false)|(~(epred13_0)|(f1 @ $true))|(epred14_0)))&((((~(epred13_0)|~(epred12_0)|((f1 @ $false)|(f1 @ $true))|(epred14_0))&(~(f1 @ $false)|~(epred12_0)|((f1 @ $false)|(f1 @ $true))|(epred14_0)))&((~(epred13_0)|~(f1 @ $true)|((f1 @ $false)|(f1 @ $true))|(epred14_0))&(~(f1 @ $false)|~(f1 @ $true)|((f1 @ $false)|(f1 @ $true))|(epred14_0))))&(~(f0 @ $false)|((f1 @ $false)|(f1 @ $true))|(epred14_0)))))&((((~(epred13_0)|~(epred12_0)|~(f0 @ $true)|(epred14_0))&(~(f1 @ $false)|~(epred12_0)|~(f0 @ $true)|(epred14_0)))&((~(epred13_0)|~(f1 @ $true)|~(f0 @ $true)|(epred14_0))&(~(f1 @ $false)|~(f1 @ $true)|~(f0 @ $true)|(epred14_0))))&(~(f0 @ $false)|~(f0 @ $true)|(epred14_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])])])).
% 0.22/0.32 thf(c_0_120, plain, ((epred6_0)|~((epred7_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_97, c_0_77]), c_0_98])).
% 0.22/0.32 thf(c_0_121, negated_conjecture, ((epred7_0)|(epred14_0)), inference(split_conjunct,[status(thm)],[c_0_99])).
% 0.22/0.32 thf(c_0_122, plain, ((epred13_0)|~((epred11_0))|~((f1 @ (($true))))|~((f1 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_100])).
% 0.22/0.32 thf(c_0_123, plain, (((((epred10_0)|~(f1 @ $true)|~(f1 @ $true)|~(epred12_0))&((epred11_0)|~(f1 @ $false)|~(f1 @ $true)|~(epred12_0)))&(((epred10_0)|(f1 @ $true)|~(f1 @ $false)|~(epred12_0))&((epred11_0)|(f1 @ $false)|~(f1 @ $false)|~(epred12_0))))&(((((((~(epred11_0)|~(epred10_0)|(~(epred11_0)|~(epred10_0))|(epred12_0))&(~(f1 @ $false)|~(epred10_0)|(~(epred11_0)|~(epred10_0))|(epred12_0)))&((~(epred11_0)|~(f1 @ $true)|(~(epred11_0)|~(epred10_0))|(epred12_0))&(~(f1 @ $false)|~(f1 @ $true)|(~(epred11_0)|~(epred10_0))|(epred12_0))))&((f1 @ $false)|(~(epred11_0)|~(epred10_0))|(epred12_0)))&((((~(epred11_0)|~(epred10_0)|((f1 @ $false)|~(epred10_0))|(epred12_0))&(~(f1 @ $false)|~(epred10_0)|((f1 @ $false)|~(epred10_0))|(epred12_0)))&((~(epred11_0)|~(f1 @ $true)|((f1 @ $false)|~(epred10_0))|(epred12_0))&(~(f1 @ $false)|~(f1 @ $true)|((f1 @ $false)|~(epred10_0))|(epred12_0))))&((f1 @ $false)|((f1 @ $false)|~(epred10_0))|(epred12_0))))&(((((~(epred11_0)|~(epred10_0)|(~(epred11_0)|(f1 @ $true))|(epred12_0))&(~(f1 @ $false)|~(epred10_0)|(~(epred11_0)|(f1 @ $true))|(epred12_0)))&((~(epred11_0)|~(f1 @ $true)|(~(epred11_0)|(f1 @ $true))|(epred12_0))&(~(f1 @ $false)|~(f1 @ $true)|(~(epred11_0)|(f1 @ $true))|(epred12_0))))&((f1 @ $false)|(~(epred11_0)|(f1 @ $true))|(epred12_0)))&((((~(epred11_0)|~(epred10_0)|((f1 @ $false)|(f1 @ $true))|(epred12_0))&(~(f1 @ $false)|~(epred10_0)|((f1 @ $false)|(f1 @ $true))|(epred12_0)))&((~(epred11_0)|~(f1 @ $true)|((f1 @ $false)|(f1 @ $true))|(epred12_0))&(~(f1 @ $false)|~(f1 @ $true)|((f1 @ $false)|(f1 @ $true))|(epred12_0))))&((f1 @ $false)|((f1 @ $false)|(f1 @ $true))|(epred12_0)))))&((((~(epred11_0)|~(epred10_0)|(f1 @ $true)|(epred12_0))&(~(f1 @ $false)|~(epred10_0)|(f1 @ $true)|(epred12_0)))&((~(epred11_0)|~(f1 @ $true)|(f1 @ $true)|(epred12_0))&(~(f1 @ $false)|~(f1 @ $true)|(f1 @ $true)|(epred12_0))))&((f1 @ $false)|(f1 @ $true)|(epred12_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])])).
% 0.22/0.32 thf(c_0_124, plain, (((((epred1_0)|~(f2 @ $true)|~(f2 @ $true)|~(epred3_0))&((epred2_0)|~(f2 @ $false)|~(f2 @ $true)|~(epred3_0)))&(((epred1_0)|(f2 @ $true)|~(f2 @ $false)|~(epred3_0))&((epred2_0)|(f2 @ $false)|~(f2 @ $false)|~(epred3_0))))&(((((((~(epred2_0)|~(epred1_0)|(~(epred2_0)|~(epred1_0))|(epred3_0))&(~(f2 @ $false)|~(epred1_0)|(~(epred2_0)|~(epred1_0))|(epred3_0)))&((~(epred2_0)|~(f2 @ $true)|(~(epred2_0)|~(epred1_0))|(epred3_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred2_0)|~(epred1_0))|(epred3_0))))&((f2 @ $false)|(~(epred2_0)|~(epred1_0))|(epred3_0)))&((((~(epred2_0)|~(epred1_0)|((f2 @ $false)|~(epred1_0))|(epred3_0))&(~(f2 @ $false)|~(epred1_0)|((f2 @ $false)|~(epred1_0))|(epred3_0)))&((~(epred2_0)|~(f2 @ $true)|((f2 @ $false)|~(epred1_0))|(epred3_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|~(epred1_0))|(epred3_0))))&((f2 @ $false)|((f2 @ $false)|~(epred1_0))|(epred3_0))))&(((((~(epred2_0)|~(epred1_0)|(~(epred2_0)|(f2 @ $true))|(epred3_0))&(~(f2 @ $false)|~(epred1_0)|(~(epred2_0)|(f2 @ $true))|(epred3_0)))&((~(epred2_0)|~(f2 @ $true)|(~(epred2_0)|(f2 @ $true))|(epred3_0))&(~(f2 @ $false)|~(f2 @ $true)|(~(epred2_0)|(f2 @ $true))|(epred3_0))))&((f2 @ $false)|(~(epred2_0)|(f2 @ $true))|(epred3_0)))&((((~(epred2_0)|~(epred1_0)|((f2 @ $false)|(f2 @ $true))|(epred3_0))&(~(f2 @ $false)|~(epred1_0)|((f2 @ $false)|(f2 @ $true))|(epred3_0)))&((~(epred2_0)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred3_0))&(~(f2 @ $false)|~(f2 @ $true)|((f2 @ $false)|(f2 @ $true))|(epred3_0))))&((f2 @ $false)|((f2 @ $false)|(f2 @ $true))|(epred3_0)))))&((((~(epred2_0)|~(epred1_0)|(f2 @ $true)|(epred3_0))&(~(f2 @ $false)|~(epred1_0)|(f2 @ $true)|(epred3_0)))&((~(epred2_0)|~(f2 @ $true)|(f2 @ $true)|(epred3_0))&(~(f2 @ $false)|~(f2 @ $true)|(f2 @ $true)|(epred3_0))))&((f2 @ $false)|(f2 @ $true)|(epred3_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_102])])])).
% 0.22/0.32 thf(c_0_125, plain, ((epred4_0)|~((epred2_0))|~((f2 @ (($true))))|~((f2 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_86])).
% 0.22/0.32 thf(c_0_126, plain, ((f2 @ (~($true)))|(epred1_0)|(x)|(epred2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_103]), c_0_104])).
% 0.22/0.32 thf(c_0_127, plain, ((epred11_0)|~((f2 @ (~($true))))|~((f2 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_61])).
% 0.22/0.32 thf(c_0_128, plain, ((f2 @ (~($true)))|(epred10_0)|(epred11_0)|~((epred9_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_32]), c_0_106])).
% 0.22/0.32 thf(c_0_129, plain, ((x)|(epred9_0)|(epred8_0)), inference(spm,[status(thm)],[c_0_107, c_0_73])).
% 0.22/0.32 thf(c_0_130, plain, ((x)|~((epred1_0))|~((epred2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_109]), c_0_85])).
% 0.22/0.32 thf(c_0_131, plain, ((epred2_0)|(f2 @ (~($true)))|~((epred4_0))), inference(cn,[status(thm)],[c_0_110])).
% 0.22/0.32 thf(c_0_132, plain, ((epred8_0)|(epred10_0)|(epred2_0)), inference(spm,[status(thm)],[c_0_111, c_0_112])).
% 0.22/0.32 thf(c_0_133, plain, ((epred2_0)|~((f2 @ (~($true))))|~((x))|~((epred8_0))), inference(spm,[status(thm)],[c_0_93, c_0_49])).
% 0.22/0.32 thf(c_0_134, plain, ((f2 @ (~($true)))|(epred10_0)|~((x))|~((epred8_0))), inference(spm,[status(thm)],[c_0_113, c_0_114])).
% 0.22/0.32 thf(c_0_135, plain, ((epred7_0)|~((f0 @ (~($true))))|~((epred6_0))), inference(csr,[status(thm)],[c_0_115, c_0_116])).
% 0.22/0.32 thf(c_0_136, plain, ((f0 @ (~($true)))|(f0 @ (($true)))|(epred5_0)), inference(split_conjunct,[status(thm)],[c_0_117])).
% 0.22/0.32 thf(c_0_137, plain, ((epred7_0)|~((epred5_0))|~((epred6_0))), inference(cn,[status(thm)],[c_0_118])).
% 0.22/0.32 thf(c_0_138, plain, ((f1 @ (($true)))|(epred14_0)|~((f0 @ (~($true))))|~((epred13_0))), inference(split_conjunct,[status(thm)],[c_0_119])).
% 0.22/0.32 thf(c_0_139, plain, ((epred3_0)|(f1 @ (($true)))|(f0 @ (~($true)))|~((epred6_0))), inference(split_conjunct,[status(thm)],[c_0_53])).
% 0.22/0.32 thf(c_0_140, negated_conjecture, ((epred14_0)|(epred6_0)), inference(spm,[status(thm)],[c_0_120, c_0_121])).
% 0.22/0.32 thf(c_0_141, plain, ((f1 @ (($true)))|(epred13_0)|~((f1 @ (~($true))))|~((epred11_0))), inference(split_conjunct,[status(thm)],[c_0_100])).
% 0.22/0.32 thf(c_0_142, plain, ((epred13_0)|~((epred11_0))|~((f1 @ (($true))))), inference(cn,[status(thm)],[c_0_122])).
% 0.22/0.32 thf(c_0_143, plain, ((f1 @ (~($true)))|(f1 @ (($true)))|(epred14_0)|~((f0 @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_119])).
% 0.22/0.32 thf(c_0_144, plain, ((f0 @ (~($true)))|(f1 @ (~($true)))|(f1 @ (($true)))|(epred5_0)), inference(split_conjunct,[status(thm)],[c_0_117])).
% 0.22/0.32 thf(c_0_145, plain, ((f1 @ (~($true)))|(f1 @ (($true)))|(epred6_0)|~((f0 @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_53])).
% 0.22/0.32 thf(c_0_146, plain, ((epred10_0)|~((f1 @ (($true))))|~((f1 @ (($true))))|~((epred12_0))), inference(split_conjunct,[status(thm)],[c_0_123])).
% 0.22/0.32 thf(c_0_147, plain, ((f2 @ (~($true)))|(f2 @ (~($true)))|(epred3_0)|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_124])).
% 0.22/0.32 thf(c_0_148, plain, ((epred3_0)|~((epred2_0))|~((epred1_0))|~((epred2_0))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_124])).
% 0.22/0.32 thf(c_0_149, plain, ((f2 @ (($true)))|(epred4_0)|~((f2 @ (~($true))))|~((epred2_0))), inference(split_conjunct,[status(thm)],[c_0_86])).
% 0.22/0.32 thf(c_0_150, plain, ((epred4_0)|~((epred2_0))|~((f2 @ (($true))))), inference(cn,[status(thm)],[c_0_125])).
% 0.22/0.32 thf(c_0_151, plain, ((epred4_0)|~((epred2_0))|~((epred1_0))|~((epred2_0))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_86])).
% 0.22/0.32 thf(c_0_152, plain, ((f2 @ (~($true)))|(f3 @ (($true)))|(epred1_0)|~((x))), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.22/0.32 thf(c_0_153, plain, ((x)|(epred1_0)|(epred2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_126]), c_0_104])).
% 0.22/0.32 thf(c_0_154, plain, ((epred11_0)|(f1 @ (~($true)))|(f1 @ (~($true)))|~((epred13_0))), inference(split_conjunct,[status(thm)],[c_0_100])).
% 0.22/0.32 thf(c_0_155, plain, ((epred10_0)|(epred11_0)|~((epred9_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_128]), c_0_106])).
% 0.22/0.32 thf(c_0_156, plain, ((epred8_0)|(epred9_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_52]), c_0_129]), c_0_107])).
% 0.22/0.32 thf(c_0_157, plain, ((f2 @ (~($true)))|~((epred1_0))|~((epred2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_28]), c_0_130]), c_0_85])).
% 0.22/0.32 thf(c_0_158, plain, ((epred2_0)|(f2 @ (($true)))|~((f2 @ (~($true))))|~((epred4_0))), inference(split_conjunct,[status(thm)],[c_0_86])).
% 0.22/0.32 thf(c_0_159, plain, ((epred2_0)|~((f2 @ (($true))))|~((epred4_0))), inference(spm,[status(thm)],[c_0_66, c_0_131])).
% 0.22/0.32 thf(c_0_160, plain, ((epred1_0)|~((f2 @ (($true))))|~((f2 @ (($true))))|~((epred3_0))), inference(split_conjunct,[status(thm)],[c_0_124])).
% 0.22/0.32 thf(c_0_161, plain, ((f2 @ (~($true)))|(epred10_0)|(epred2_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_114]), c_0_132]), c_0_45]), c_0_111])).
% 0.22/0.32 thf(c_0_162, plain, ((f2 @ (($true)))|(epred10_0)|~((f3 @ (~($true))))|~((epred8_0))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 0.22/0.32 thf(c_0_163, plain, ((epred10_0)|(epred2_0)|~((x))|~((epred8_0))), inference(spm,[status(thm)],[c_0_133, c_0_134])).
% 0.22/0.32 thf(c_0_164, negated_conjecture, (~((epred7_0))|~((epred14_0))), inference(split_conjunct,[status(thm)],[c_0_99])).
% 0.22/0.32 thf(c_0_165, plain, ((epred7_0)|~((epred6_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_136]), c_0_137]), c_0_116])).
% 0.22/0.32 thf(c_0_166, plain, ((epred14_0)|~((epred13_0))|~((f1 @ (($true))))|~((f0 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_119])).
% 0.22/0.32 thf(c_0_167, plain, ((epred3_0)|(f0 @ (($true)))|~((f1 @ (($true))))|~((epred6_0))), inference(split_conjunct,[status(thm)],[c_0_53])).
% 0.22/0.32 thf(c_0_168, plain, ((f1 @ (($true)))|(epred3_0)|(epred14_0)|~((epred13_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_139]), c_0_140])).
% 0.22/0.32 thf(c_0_169, plain, ((epred13_0)|~((f1 @ (~($true))))|~((epred11_0))), inference(csr,[status(thm)],[c_0_141, c_0_142])).
% 0.22/0.32 thf(c_0_170, plain, ((f1 @ (($true)))|(f1 @ (~($true)))|(epred5_0)|(epred14_0)), inference(spm,[status(thm)],[c_0_143, c_0_144])).
% 0.22/0.32 thf(c_0_171, plain, ((f1 @ (($true)))|(f1 @ (~($true)))|(epred5_0)|(epred6_0)), inference(spm,[status(thm)],[c_0_145, c_0_144])).
% 0.22/0.32 thf(c_0_172, plain, ((epred3_0)|(f1 @ (($true)))|~((f0 @ (~($true))))|~((epred5_0))), inference(split_conjunct,[status(thm)],[c_0_117])).
% 0.22/0.32 thf(c_0_173, plain, ((epred10_0)|(f1 @ (($true)))|~((f1 @ (~($true))))|~((epred12_0))), inference(split_conjunct,[status(thm)],[c_0_123])).
% 0.22/0.32 thf(c_0_174, plain, ((epred10_0)|~((epred12_0))|~((f1 @ (($true))))), inference(cn,[status(thm)],[c_0_146])).
% 0.22/0.32 thf(c_0_175, plain, ((f1 @ (($true)))|(epred6_0)|~((f0 @ (~($true))))|~((epred4_0))), inference(split_conjunct,[status(thm)],[c_0_53])).
% 0.22/0.32 thf(c_0_176, plain, ((epred13_0)|(f1 @ (~($true)))|(f0 @ (~($true)))|~((epred14_0))), inference(split_conjunct,[status(thm)],[c_0_119])).
% 0.22/0.32 thf(c_0_177, plain, ((epred12_0)|(f1 @ (($true)))|(f0 @ (~($true)))|~((epred14_0))), inference(split_conjunct,[status(thm)],[c_0_119])).
% 0.22/0.32 thf(c_0_178, plain, ((epred3_0)|(f2 @ (~($true)))|~((epred1_0))), inference(cn,[status(thm)],[c_0_147])).
% 0.22/0.32 thf(c_0_179, plain, ((epred3_0)|~((epred1_0))|~((epred2_0))), inference(cn,[status(thm)],[c_0_148])).
% 0.22/0.32 thf(c_0_180, plain, ((epred4_0)|~((f2 @ (~($true))))|~((epred2_0))), inference(csr,[status(thm)],[c_0_149, c_0_150])).
% 0.22/0.32 thf(c_0_181, plain, ((epred4_0)|~((epred1_0))|~((epred2_0))), inference(cn,[status(thm)],[c_0_151])).
% 0.22/0.32 thf(c_0_182, plain, ((f2 @ (~($true)))|(epred1_0)|(epred2_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_152]), c_0_153]), c_0_104])).
% 0.22/0.32 thf(c_0_183, plain, ((f1 @ (~($true)))|(epred14_0)|~((f0 @ (~($true))))|~((epred12_0))), inference(split_conjunct,[status(thm)],[c_0_119])).
% 0.22/0.32 thf(c_0_184, plain, ((epred4_0)|(f1 @ (~($true)))|(f0 @ (~($true)))|~((epred6_0))), inference(split_conjunct,[status(thm)],[c_0_53])).
% 0.22/0.32 thf(c_0_185, plain, ((epred14_0)|~((f1 @ (~($true))))|~((f1 @ (($true))))|~((f0 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_119])).
% 0.22/0.32 thf(c_0_186, plain, ((f0 @ (($true)))|(epred5_0)|~((f1 @ (~($true))))|~((f1 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_117])).
% 0.22/0.32 thf(c_0_187, plain, ((f1 @ (~($true)))|(f1 @ (~($true)))|(epred12_0)|~((epred10_0))), inference(split_conjunct,[status(thm)],[c_0_123])).
% 0.22/0.32 thf(c_0_188, plain, ((f1 @ (($true)))|(epred12_0)|~((f1 @ (~($true))))|~((epred10_0))), inference(split_conjunct,[status(thm)],[c_0_123])).
% 0.22/0.32 thf(c_0_189, plain, ((f1 @ (~($true)))|(f1 @ (($true)))|(epred12_0)), inference(split_conjunct,[status(thm)],[c_0_123])).
% 0.22/0.32 thf(c_0_190, plain, ((epred6_0)|~((f1 @ (~($true))))|~((f1 @ (($true))))|~((f0 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_53])).
% 0.22/0.32 thf(c_0_191, plain, ((epred11_0)|(f1 @ (($true)))|~((f1 @ (~($true))))|~((epred13_0))), inference(split_conjunct,[status(thm)],[c_0_100])).
% 0.22/0.32 thf(c_0_192, plain, ((epred11_0)|(f1 @ (~($true)))|~((epred13_0))), inference(cn,[status(thm)],[c_0_154])).
% 0.22/0.32 thf(c_0_193, plain, ((f1 @ (~($true)))|(epred6_0)|~((f0 @ (~($true))))|~((epred3_0))), inference(split_conjunct,[status(thm)],[c_0_53])).
% 0.22/0.32 thf(c_0_194, plain, ((epred11_0)|~((f3 @ (~($true))))|~((epred8_0))|~((f2 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_61])).
% 0.22/0.32 thf(c_0_195, plain, ((epred8_0)|(epred11_0)|(epred10_0)), inference(spm,[status(thm)],[c_0_155, c_0_156])).
% 0.22/0.32 thf(c_0_196, plain, ((epred9_0)|(f2 @ (($true)))|~((f3 @ (~($true))))|~((epred11_0))), inference(split_conjunct,[status(thm)],[c_0_61])).
% 0.22/0.32 thf(c_0_197, plain, ((epred9_0)|(f3 @ (~($true)))|(f2 @ (~($true)))|~((epred11_0))), inference(split_conjunct,[status(thm)],[c_0_61])).
% 0.22/0.32 thf(c_0_198, plain, ((epred8_0)|(f2 @ (($true)))|~((f3 @ (($true))))|~((epred11_0))), inference(split_conjunct,[status(thm)],[c_0_61])).
% 0.22/0.32 thf(c_0_199, plain, ((epred8_0)|(f3 @ (($true)))|(f2 @ (~($true)))|~((epred11_0))), inference(split_conjunct,[status(thm)],[c_0_61])).
% 0.22/0.32 thf(c_0_200, plain, (~((epred1_0))|~((epred2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_157]), c_0_85])).
% 0.22/0.32 thf(c_0_201, plain, ((epred2_0)|~((epred4_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_158, c_0_131]), c_0_159])).
% 0.22/0.32 thf(c_0_202, plain, ((epred1_0)|(f2 @ (($true)))|~((f2 @ (~($true))))|~((epred3_0))), inference(split_conjunct,[status(thm)],[c_0_124])).
% 0.22/0.32 thf(c_0_203, plain, ((epred1_0)|~((epred3_0))|~((f2 @ (($true))))), inference(cn,[status(thm)],[c_0_160])).
% 0.22/0.32 thf(c_0_204, plain, ((epred10_0)|(epred2_0)|~((f2 @ (($true))))), inference(spm,[status(thm)],[c_0_66, c_0_161])).
% 0.22/0.32 thf(c_0_205, plain, ((f2 @ (($true)))|(epred2_0)|(epred10_0)|~((epred8_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162, c_0_59]), c_0_45]), c_0_163])).
% 0.22/0.32 thf(c_0_206, negated_conjecture, (~((epred14_0))|~((epred6_0))), inference(spm,[status(thm)],[c_0_164, c_0_165])).
% 0.22/0.32 thf(c_0_207, plain, ((epred3_0)|(epred14_0)|~((epred13_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166, c_0_167]), c_0_140]), c_0_168])).
% 0.22/0.32 thf(c_0_208, plain, ((epred14_0)|(epred5_0)|(epred13_0)|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169, c_0_170]), c_0_142])).
% 0.22/0.32 thf(c_0_209, plain, ((epred6_0)|(epred5_0)|(epred13_0)|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169, c_0_171]), c_0_142])).
% 0.22/0.32 thf(c_0_210, plain, ((epred3_0)|~((f1 @ (($true))))|~((f0 @ (($true))))|~((epred5_0))), inference(split_conjunct,[status(thm)],[c_0_117])).
% 0.22/0.32 thf(c_0_211, plain, ((f1 @ (($true)))|(epred3_0)|~((epred5_0))|~((epred6_0))), inference(spm,[status(thm)],[c_0_172, c_0_139])).
% 0.22/0.32 thf(c_0_212, plain, ((epred10_0)|~((f1 @ (~($true))))|~((epred12_0))), inference(csr,[status(thm)],[c_0_173, c_0_174])).
% 0.22/0.32 thf(c_0_213, plain, ((epred10_0)|(f1 @ (($true)))|(f1 @ (~($true)))|~((epred13_0))), inference(split_conjunct,[status(thm)],[c_0_100])).
% 0.22/0.32 thf(c_0_214, plain, ((f1 @ (~($true)))|(f1 @ (($true)))|(epred13_0)|(epred6_0)|~((epred4_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175, c_0_176]), c_0_140])).
% 0.22/0.32 thf(c_0_215, plain, ((epred6_0)|~((epred4_0))|~((f1 @ (($true))))|~((f0 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_53])).
% 0.22/0.32 thf(c_0_216, plain, ((epred12_0)|(f0 @ (($true)))|~((f1 @ (($true))))|~((epred14_0))), inference(split_conjunct,[status(thm)],[c_0_119])).
% 0.22/0.32 thf(c_0_217, plain, ((f1 @ (($true)))|(epred12_0)|(epred6_0)|~((epred4_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175, c_0_177]), c_0_140])).
% 0.22/0.32 thf(c_0_218, plain, ((f2 @ (($true)))|(epred3_0)|~((f2 @ (~($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_124])).
% 0.22/0.32 thf(c_0_219, plain, ((epred3_0)|~((f2 @ (($true))))|~((epred1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_178]), c_0_179])).
% 0.22/0.32 thf(c_0_220, plain, ((epred4_0)|~((epred2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180, c_0_60]), c_0_181]), c_0_150])).
% 0.22/0.32 thf(c_0_221, plain, ((epred1_0)|(epred2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_182]), c_0_104])).
% 0.22/0.32 thf(c_0_222, plain, ((epred14_0)|~((f1 @ (~($true))))|~((epred12_0))|~((f0 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_119])).
% 0.22/0.32 thf(c_0_223, plain, ((epred4_0)|(f0 @ (($true)))|~((f1 @ (~($true))))|~((epred6_0))), inference(split_conjunct,[status(thm)],[c_0_53])).
% 0.22/0.32 thf(c_0_224, plain, ((f1 @ (~($true)))|(epred4_0)|(epred14_0)|~((epred12_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183, c_0_184]), c_0_140])).
% 0.22/0.32 thf(c_0_225, plain, ((epred5_0)|(epred14_0)|~((f1 @ (($true))))|~((f1 @ (~($true))))), inference(spm,[status(thm)],[c_0_185, c_0_186])).
% 0.22/0.32 thf(c_0_226, plain, ((epred12_0)|(f1 @ (~($true)))|~((epred10_0))), inference(cn,[status(thm)],[c_0_187])).
% 0.22/0.32 thf(c_0_227, plain, ((f1 @ (($true)))|(epred12_0)|~((epred10_0))), inference(csr,[status(thm)],[c_0_188, c_0_189])).
% 0.22/0.32 thf(c_0_228, plain, ((epred5_0)|(epred6_0)|~((f1 @ (($true))))|~((f1 @ (~($true))))), inference(spm,[status(thm)],[c_0_190, c_0_186])).
% 0.22/0.32 thf(c_0_229, plain, ((epred4_0)|(f1 @ (~($true)))|~((f0 @ (~($true))))|~((epred5_0))), inference(split_conjunct,[status(thm)],[c_0_117])).
% 0.22/0.32 thf(c_0_230, plain, ((epred11_0)|~((f1 @ (~($true))))|~((f1 @ (($true))))|~((epred12_0))), inference(split_conjunct,[status(thm)],[c_0_123])).
% 0.22/0.32 thf(c_0_231, plain, ((f1 @ (($true)))|(epred11_0)|~((epred13_0))), inference(csr,[status(thm)],[c_0_191, c_0_192])).
% 0.22/0.32 thf(c_0_232, plain, ((epred6_0)|~((f1 @ (~($true))))|~((epred3_0))|~((f0 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_53])).
% 0.22/0.32 thf(c_0_233, plain, ((epred13_0)|(f0 @ (($true)))|~((f1 @ (~($true))))|~((epred14_0))), inference(split_conjunct,[status(thm)],[c_0_119])).
% 0.22/0.32 thf(c_0_234, plain, ((f1 @ (~($true)))|(epred13_0)|(epred6_0)|~((epred3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193, c_0_176]), c_0_140])).
% 0.22/0.32 thf(c_0_235, plain, ((f2 @ (~($true)))|(epred10_0)|(epred11_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194, c_0_114]), c_0_195]), c_0_45])).
% 0.22/0.32 thf(c_0_236, plain, ((f3 @ (~($true)))|(epred11_0)|~((f2 @ (~($true))))|~((epred8_0))), inference(split_conjunct,[status(thm)],[c_0_61])).
% 0.22/0.32 thf(c_0_237, plain, ((x)|~((f3 @ (~($true))))|~((f3 @ (($true))))|~((epred8_0))), inference(split_conjunct,[status(thm)],[c_0_37])).
% 0.22/0.32 thf(c_0_238, plain, ((f3 @ (($true)))|~((epred8_0))|~((epred9_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_21]), c_0_35])).
% 0.22/0.32 thf(c_0_239, plain, ((epred9_0)|~((f3 @ (~($true))))|~((f2 @ (($true))))|~((epred10_0))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 0.22/0.32 thf(c_0_240, plain, ((epred9_0)|(f3 @ (~($true)))|~((f2 @ (~($true))))|~((epred10_0))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 0.22/0.32 thf(c_0_241, plain, ((f2 @ (~($true)))|(f2 @ (($true)))|(epred9_0)|~((epred11_0))), inference(spm,[status(thm)],[c_0_196, c_0_197])).
% 0.22/0.32 thf(c_0_242, plain, ((epred8_0)|~((f3 @ (($true))))|~((f2 @ (($true))))|~((epred10_0))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 0.22/0.32 thf(c_0_243, plain, ((epred8_0)|(f3 @ (($true)))|~((f2 @ (~($true))))|~((epred10_0))), inference(split_conjunct,[status(thm)],[c_0_19])).
% 0.22/0.32 thf(c_0_244, plain, ((f2 @ (~($true)))|(f2 @ (($true)))|(epred8_0)|~((epred11_0))), inference(spm,[status(thm)],[c_0_198, c_0_199])).
% 0.22/0.32 thf(c_0_245, plain, (~((epred1_0))|~((epred4_0))), inference(spm,[status(thm)],[c_0_200, c_0_201])).
% 0.22/0.32 thf(c_0_246, plain, ((epred1_0)|~((epred3_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_202, c_0_60]), c_0_203])).
% 0.22/0.32 thf(c_0_247, plain, ((epred2_0)|(epred10_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204, c_0_205]), c_0_132])).
% 0.22/0.32 thf(c_0_248, negated_conjecture, ((epred3_0)|~((epred6_0))|~((epred13_0))), inference(spm,[status(thm)],[c_0_206, c_0_207])).
% 0.22/0.32 thf(c_0_249, negated_conjecture, ((epred13_0)|(epred5_0)|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206, c_0_208]), c_0_209])).
% 0.22/0.32 thf(c_0_250, plain, ((epred3_0)|~((epred5_0))|~((epred6_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210, c_0_167]), c_0_211])).
% 0.22/0.32 thf(c_0_251, plain, ((epred10_0)|~((epred12_0))|~((epred13_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212, c_0_213]), c_0_174])).
% 0.22/0.32 thf(c_0_252, plain, ((epred6_0)|(epred13_0)|~((epred11_0))|~((epred4_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169, c_0_214]), c_0_142])).
% 0.22/0.32 thf(c_0_253, plain, ((epred12_0)|(epred6_0)|~((epred4_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215, c_0_216]), c_0_140]), c_0_217])).
% 0.22/0.32 thf(c_0_254, plain, ((epred3_0)|~((epred1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_218, c_0_178]), c_0_219])).
% 0.22/0.32 thf(c_0_255, plain, ((epred1_0)|(epred4_0)), inference(spm,[status(thm)],[c_0_220, c_0_221])).
% 0.22/0.32 thf(c_0_256, plain, ((epred4_0)|(epred14_0)|~((epred12_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222, c_0_223]), c_0_140]), c_0_224])).
% 0.22/0.32 thf(c_0_257, plain, ((epred12_0)|(epred14_0)|(epred5_0)|~((epred10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225, c_0_226]), c_0_227])).
% 0.22/0.32 thf(c_0_258, plain, ((epred12_0)|(epred6_0)|(epred5_0)|~((epred10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228, c_0_226]), c_0_227])).
% 0.22/0.32 thf(c_0_259, plain, ((epred4_0)|~((f1 @ (~($true))))|~((f0 @ (($true))))|~((epred5_0))), inference(split_conjunct,[status(thm)],[c_0_117])).
% 0.22/0.32 thf(c_0_260, plain, ((f1 @ (~($true)))|(epred4_0)|~((epred5_0))|~((epred6_0))), inference(spm,[status(thm)],[c_0_229, c_0_184])).
% 0.22/0.32 thf(c_0_261, plain, ((epred11_0)|~((epred12_0))|~((epred13_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230, c_0_192]), c_0_231])).
% 0.22/0.32 thf(c_0_262, plain, ((epred13_0)|(epred6_0)|~((epred3_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232, c_0_233]), c_0_140]), c_0_234])).
% 0.22/0.32 thf(c_0_263, plain, ((epred12_0)|(epred6_0)|~((f1 @ (($true))))|~((f1 @ (~($true))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190, c_0_216]), c_0_140])).
% 0.22/0.32 thf(c_0_264, plain, ((epred10_0)|(epred11_0)|~((f2 @ (($true))))), inference(spm,[status(thm)],[c_0_127, c_0_235])).
% 0.22/0.32 thf(c_0_265, plain, ((f2 @ (($true)))|(epred11_0)|(epred10_0)|~((epred8_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162, c_0_236]), c_0_45])).
% 0.22/0.32 thf(c_0_266, plain, (~((f3 @ (($true))))|~((f3 @ (~($true))))|~((epred8_0))), inference(csr,[status(thm)],[c_0_237, c_0_93])).
% 0.22/0.32 thf(c_0_267, plain, (~((x))|~((epred8_0))|~((epred9_0))), inference(spm,[status(thm)],[c_0_93, c_0_238])).
% 0.22/0.32 thf(c_0_268, plain, ((epred9_0)|~((f2 @ (($true))))|~((f2 @ (~($true))))|~((epred10_0))), inference(spm,[status(thm)],[c_0_239, c_0_240])).
% 0.22/0.32 thf(c_0_269, plain, ((f2 @ (~($true)))|(epred9_0)|~((epred10_0))|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239, c_0_197]), c_0_241])).
% 0.22/0.32 thf(c_0_270, plain, ((f2 @ (($true)))|(epred9_0)|~((epred11_0))|~((epred10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196, c_0_240]), c_0_241])).
% 0.22/0.32 thf(c_0_271, plain, ((epred8_0)|~((f2 @ (($true))))|~((f2 @ (~($true))))|~((epred10_0))), inference(spm,[status(thm)],[c_0_242, c_0_243])).
% 0.22/0.32 thf(c_0_272, plain, ((f2 @ (~($true)))|(epred8_0)|~((epred10_0))|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242, c_0_199]), c_0_244])).
% 0.22/0.32 thf(c_0_273, plain, ((f2 @ (($true)))|(epred8_0)|~((epred11_0))|~((epred10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198, c_0_243]), c_0_244])).
% 0.22/0.32 thf(c_0_274, plain, (~((epred4_0))|~((epred3_0))), inference(spm,[status(thm)],[c_0_245, c_0_246])).
% 0.22/0.32 thf(c_0_275, plain, ((epred10_0)|(epred4_0)), inference(spm,[status(thm)],[c_0_220, c_0_247])).
% 0.22/0.32 thf(c_0_276, negated_conjecture, ((epred3_0)|~((epred6_0))|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248, c_0_249]), c_0_250])).
% 0.22/0.32 thf(c_0_277, plain, ((epred6_0)|(epred10_0)|~((epred11_0))|~((epred4_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251, c_0_252]), c_0_253])).
% 0.22/0.32 thf(c_0_278, plain, ((epred4_0)|(epred3_0)), inference(spm,[status(thm)],[c_0_254, c_0_255])).
% 0.22/0.32 thf(c_0_279, plain, ((f3 @ (~($true)))|(f3 @ (($true)))|(epred11_0)|~((f2 @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_61])).
% 0.22/0.32 thf(c_0_280, plain, ((epred11_0)|~((f3 @ (~($true))))|~((f3 @ (($true))))|~((f2 @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_61])).
% 0.22/0.32 thf(c_0_281, negated_conjecture, ((epred4_0)|~((epred6_0))|~((epred12_0))), inference(spm,[status(thm)],[c_0_206, c_0_256])).
% 0.22/0.32 thf(c_0_282, negated_conjecture, ((epred5_0)|(epred12_0)|~((epred10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206, c_0_257]), c_0_258])).
% 0.22/0.32 thf(c_0_283, plain, ((epred4_0)|~((epred5_0))|~((epred6_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259, c_0_223]), c_0_260])).
% 0.22/0.32 thf(c_0_284, plain, ((epred6_0)|(epred11_0)|~((epred12_0))|~((epred3_0))), inference(spm,[status(thm)],[c_0_261, c_0_262])).
% 0.22/0.32 thf(c_0_285, plain, ((epred6_0)|(epred12_0)|~((epred10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263, c_0_226]), c_0_227])).
% 0.22/0.32 thf(c_0_286, plain, ((epred11_0)|(epred10_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264, c_0_265]), c_0_195])).
% 0.22/0.32 thf(c_0_287, plain, (~((epred8_0))|~((epred9_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266, c_0_10]), c_0_238]), c_0_267])).
% 0.22/0.32 thf(c_0_288, plain, ((epred9_0)|~((epred10_0))|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268, c_0_269]), c_0_270])).
% 0.22/0.32 thf(c_0_289, plain, ((epred8_0)|~((epred10_0))|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271, c_0_272]), c_0_273])).
% 0.22/0.32 thf(c_0_290, plain, ((epred10_0)|~((epred3_0))), inference(spm,[status(thm)],[c_0_274, c_0_275])).
% 0.22/0.32 thf(c_0_291, negated_conjecture, ((epred10_0)|(epred3_0)|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276, c_0_277]), c_0_278])).
% 0.22/0.32 thf(c_0_292, plain, ((f3 @ (($true)))|(epred11_0)|~((f2 @ (~($true))))|~((x))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_279]), c_0_82])).
% 0.22/0.32 thf(c_0_293, plain, ((x)|(epred8_0)|(epred11_0)|~((f2 @ (($true))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280, c_0_71]), c_0_73])).
% 0.22/0.32 thf(c_0_294, plain, ((f2 @ (($true)))|(epred8_0)|(x)|~((epred2_0))), inference(spm,[status(thm)],[c_0_15, c_0_71])).
% 0.22/0.32 thf(c_0_295, negated_conjecture, ((epred4_0)|~((epred6_0))|~((epred10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281, c_0_282]), c_0_283])).
% 0.22/0.32 thf(c_0_296, plain, ((epred11_0)|(epred6_0)|~((epred3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284, c_0_285]), c_0_286])).
% 0.22/0.32 thf(c_0_297, plain, (~((epred10_0))|~((epred11_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287, c_0_288]), c_0_289])).
% 0.22/0.32 thf(c_0_298, negated_conjecture, (epred10_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290, c_0_291]), c_0_286])).
% 0.22/0.32 thf(c_0_299, plain, ((epred11_0)|(epred9_0)|~((f2 @ (~($true))))|~((x))), inference(spm,[status(thm)],[c_0_48, c_0_292])).
% 0.22/0.32 thf(c_0_300, plain, ((f2 @ (~($true)))|(epred9_0)|~((x))|~((epred2_0))), inference(spm,[status(thm)],[c_0_48, c_0_28])).
% 0.22/0.32 thf(c_0_301, plain, ((epred11_0)|(epred8_0)|(x)|~((epred2_0))), inference(spm,[status(thm)],[c_0_293, c_0_294])).
% 0.22/0.32 thf(c_0_302, negated_conjecture, ((epred11_0)|(epred4_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295, c_0_296]), c_0_278]), c_0_286])).
% 0.22/0.32 thf(c_0_303, plain, ~((epred11_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_297, c_0_298])])).
% 0.22/0.32 thf(c_0_304, plain, ((epred9_0)|(epred11_0)|~((x))|~((epred2_0))), inference(spm,[status(thm)],[c_0_299, c_0_300])).
% 0.22/0.32 thf(c_0_305, plain, ((f2 @ (($true)))|(epred11_0)|(x)|~((epred2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_236]), c_0_301]), c_0_42])).
% 0.22/0.32 thf(c_0_306, negated_conjecture, (epred4_0), inference(sr,[status(thm)],[c_0_302, c_0_303])).
% 0.22/0.32 thf(c_0_307, plain, ((f2 @ (($true)))|(epred11_0)|~((epred2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_82]), c_0_304]), c_0_305]), c_0_42])).
% 0.22/0.32 thf(c_0_308, plain, (epred2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201, c_0_306])])).
% 0.22/0.32 thf(c_0_309, plain, ((x)|(epred11_0)|~((f2 @ (($true))))|~((epred9_0))), inference(spm,[status(thm)],[c_0_105, c_0_35])).
% 0.22/0.32 thf(c_0_310, plain, ((f2 @ (($true)))|(x)|~((epred2_0))|~((epred9_0))), inference(spm,[status(thm)],[c_0_15, c_0_10])).
% 0.22/0.32 thf(c_0_311, plain, (f2 @ (($true))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_307, c_0_308])]), c_0_303])).
% 0.22/0.32 thf(c_0_312, plain, ((epred11_0)|(x)|~((epred9_0))|~((epred2_0))), inference(spm,[status(thm)],[c_0_309, c_0_310])).
% 0.22/0.32 thf(c_0_313, plain, (~((f3 @ (($true))))|~((epred9_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105, c_0_311])]), c_0_303])).
% 0.22/0.32 thf(c_0_314, plain, ~((f2 @ (~($true)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127, c_0_311])]), c_0_303])).
% 0.22/0.32 thf(c_0_315, plain, ~((epred1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245, c_0_306])])).
% 0.22/0.32 thf(c_0_316, plain, ((x)|~((epred9_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_312, c_0_308])]), c_0_303])).
% 0.22/0.32 thf(c_0_317, plain, ((epred11_0)|~((f2 @ (~($true))))|~((x))|~((epred8_0))), inference(spm,[status(thm)],[c_0_113, c_0_236])).
% 0.22/0.32 thf(c_0_318, plain, ((f2 @ (~($true)))|~((x))|~((epred8_0))|~((epred2_0))), inference(spm,[status(thm)],[c_0_93, c_0_28])).
% 0.22/0.32 thf(c_0_319, plain, ~((epred9_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313, c_0_152]), c_0_314]), c_0_315]), c_0_316])).
% 0.22/0.32 thf(c_0_320, plain, ((epred11_0)|~((x))|~((epred8_0))|~((epred2_0))), inference(spm,[status(thm)],[c_0_317, c_0_318])).
% 0.22/0.32 thf(c_0_321, plain, (~((f3 @ (~($true))))|~((epred8_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194, c_0_311])]), c_0_303])).
% 0.22/0.32 thf(c_0_322, plain, (epred8_0), inference(sr,[status(thm)],[c_0_156, c_0_319])).
% 0.22/0.32 thf(c_0_323, plain, (~((x))|~((epred8_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_320, c_0_308])]), c_0_303])).
% 0.22/0.32 thf(c_0_324, plain, ~((f3 @ (~($true)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_321, c_0_322])])).
% 0.22/0.32 thf(c_0_325, plain, ~((x)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_323, c_0_322])])).
% 0.22/0.32 thf(c_0_326, plain, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_103, c_0_315]), c_0_324]), c_0_314]), c_0_325]), ['proof']).
% 0.22/0.32 % SZS output end CNFRefutation
% 0.22/0.32 % Parsed axioms : 6
% 0.22/0.32 % Removed by relevancy pruning/SinE : 0
% 0.22/0.32 % Initial clauses : 413
% 0.22/0.32 % Removed in clause preprocessing : 168
% 0.22/0.32 % Initial clauses in saturation : 245
% 0.22/0.32 % Processed clauses : 1433
% 0.22/0.32 % ...of these trivial : 23
% 0.22/0.32 % ...subsumed : 880
% 0.22/0.32 % ...remaining for further processing : 529
% 0.22/0.32 % Other redundant clauses eliminated : 0
% 0.22/0.32 % Clauses deleted for lack of memory : 0
% 0.22/0.32 % Backward-subsumed : 333
% 0.22/0.32 % Backward-rewritten : 139
% 0.22/0.32 % Generated clauses : 2770
% 0.22/0.32 % ...of the previous two non-redundant : 1513
% 0.22/0.32 % ...aggressively subsumed : 0
% 0.22/0.32 % Contextual simplify-reflections : 214
% 0.22/0.32 % Paramodulations : 2758
% 0.22/0.32 % Factorizations : 0
% 0.22/0.32 % NegExts : 0
% 0.22/0.32 % Equation resolutions : 0
% 0.22/0.32 % Disequality decompositions : 0
% 0.22/0.32 % Total rewrite steps : 176
% 0.22/0.32 % ...of those cached : 170
% 0.22/0.32 % Propositional unsat checks : 0
% 0.22/0.32 % Propositional check models : 0
% 0.22/0.32 % Propositional check unsatisfiable : 0
% 0.22/0.32 % Propositional clauses : 0
% 0.22/0.32 % Propositional clauses after purity: 0
% 0.22/0.32 % Propositional unsat core size : 0
% 0.22/0.32 % Propositional preprocessing time : 0.000
% 0.22/0.32 % Propositional encoding time : 0.000
% 0.22/0.32 % Propositional solver time : 0.000
% 0.22/0.32 % Success case prop preproc time : 0.000
% 0.22/0.32 % Success case prop encoding time : 0.000
% 0.22/0.32 % Success case prop solver time : 0.000
% 0.22/0.32 % Current number of processed clauses : 45
% 0.22/0.32 % Positive orientable unit clauses : 6
% 0.22/0.32 % Positive unorientable unit clauses: 0
% 0.22/0.32 % Negative unit clauses : 9
% 0.22/0.32 % Non-unit-clauses : 30
% 0.22/0.32 % Current number of unprocessed clauses: 22
% 0.22/0.32 % ...number of literals in the above : 78
% 0.22/0.32 % Current number of archived formulas : 0
% 0.22/0.32 % Current number of archived clauses : 484
% 0.22/0.32 % Clause-clause subsumption calls (NU) : 64553
% 0.22/0.32 % Rec. Clause-clause subsumption calls : 21011
% 0.22/0.32 % Non-unit clause-clause subsumptions : 1337
% 0.22/0.32 % Unit Clause-clause subsumption calls : 1047
% 0.22/0.32 % Rewrite failures with RHS unbound : 0
% 0.22/0.32 % BW rewrite match attempts : 6
% 0.22/0.32 % BW rewrite match successes : 6
% 0.22/0.32 % Condensation attempts : 0
% 0.22/0.32 % Condensation successes : 0
% 0.22/0.32 % Termbank termtop insertions : 45070
% 0.22/0.32 % Search garbage collected termcells : 2458
% 0.22/0.32
% 0.22/0.32 % -------------------------------------------------
% 0.22/0.32 % User time : 0.066 s
% 0.22/0.32 % System time : 0.006 s
% 0.22/0.32 % Total time : 0.073 s
% 0.22/0.32 % Maximum resident set size: 4140 pages
% 0.22/0.32
% 0.22/0.32 % -------------------------------------------------
% 0.22/0.32 % User time : 0.203 s
% 0.22/0.32 % System time : 0.018 s
% 0.22/0.32 % Total time : 0.221 s
% 0.22/0.32 % Maximum resident set size: 4608 pages
% 0.22/0.32 % E exiting
%------------------------------------------------------------------------------