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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYO041^1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 08:42:12 AM UTC 2026

% Result   : Unsatisfiable 0.13s 0.26s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO041^1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.18  % Computer : n026.cluster.edu
% 0.13/0.18  % Model    : x86_64 x86_64
% 0.13/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.18  % Memory   : 8046.5625MB
% 0.13/0.18  % OS       : Linux 6.8.0-71-generic
% 0.13/0.18  % CPULimit : 300
% 0.13/0.18  % WCLimit  : 300
% 0.13/0.18  % DateTime : Tue Sep 29 16:26:57 UTC 2026
% 0.13/0.18  % CPUTime  : 
% 0.13/0.18  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.22  Running higher-order theorem proving
% 0.13/0.24  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.kIJawNfjs6/E---3.1_808878.p
% 0.13/0.26  % Version: 3.5.1-ho
% 0.13/0.26  % Preprocessing class: HSSSSLSSSSSNFFN.
% 0.13/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.26  % Starting new_ho_10 with 1500s (5) cores
% 0.13/0.26  % Starting ehoh_best8_lambda with 300s (1) cores
% 0.13/0.26  % Starting ho_unfolding_6 with 300s (1) cores
% 0.13/0.26  % Starting sh4l with 300s (1) cores
% 0.13/0.26  % new_ho_10 with pid 808913 completed with status 0
% 0.13/0.26  % Result found by new_ho_10
% 0.13/0.26  % Preprocessing class: HSSSSLSSSSSNFFN.
% 0.13/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.26  % Starting new_ho_10 with 1500s (5) cores
% 0.13/0.26  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.26  % No SInE strategy applied
% 0.13/0.26  % Search class: HGHNF-FFMS00-SFFFFFNN
% 0.13/0.26  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.26  % Starting SubtermCWHack with 151s (1) cores
% 0.13/0.26  % Starting new_ho_10 with 901s (1) cores
% 0.13/0.26  % Starting ehoh_best8_lambda with 151s (1) cores
% 0.13/0.26  % Starting ho_unfolding_6 with 151s (1) cores
% 0.13/0.26  % Starting sh4l with 146s (1) cores
% 0.13/0.26  % new_ho_10 with pid 808920 completed with status 0
% 0.13/0.26  % Result found by new_ho_10
% 0.13/0.26  % Preprocessing class: HSSSSLSSSSSNFFN.
% 0.13/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.26  % Starting new_ho_10 with 1500s (5) cores
% 0.13/0.26  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.26  % No SInE strategy applied
% 0.13/0.26  % Search class: HGHNF-FFMS00-SFFFFFNN
% 0.13/0.26  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.26  % Starting SubtermCWHack with 151s (1) cores
% 0.13/0.26  % Starting new_ho_10 with 901s (1) cores
% 0.13/0.26  % Preprocessing time       : 0.001 s
% 0.13/0.26  % Presaturation interreduction done
% 0.13/0.26  
% 0.13/0.26  % Proof found!
% 0.13/0.26  % SZS status Unsatisfiable
% 0.13/0.26  % SZS output start CNFRefutation
% 0.13/0.26  thf(decl_24, type, f: $o > $o).
% 0.13/0.26  thf(decl_25, type, g: $o > $o).
% 0.13/0.26  thf(decl_26, type, x: $o).
% 0.13/0.26  thf(decl_27, type, y: $o).
% 0.13/0.26  thf(decl_28, type, epred1_0: $o).
% 0.13/0.26  thf(decl_29, type, epred2_0: $o).
% 0.13/0.26  thf(decl_30, type, epred3_0: $o).
% 0.13/0.26  thf(3, axiom, (((((x)<~>(y))&((g @ ((x)))<=>(y)))&((g @ ((y)))<=>(x)))&((f @ ((f @ ((f @ ((x)))))))<=>(g @ ((f @ ((x))))))), file('/export/starexec/sandbox/tmp/tmp.kIJawNfjs6/E---3.1_808878.p', 3)).
% 0.13/0.26  thf(c_0_1, plain, ((epred1_0)<=>((((~(x)|~(f @ $true))&((x)|~(f @ $false)))|~(f @ $true))&(((~(x)|(f @ $true))&((x)|(f @ $false)))|~(f @ $false)))), introduced(definition)).
% 0.13/0.26  thf(c_0_2, plain, ((epred2_0)<=>((((~(x)|~(f @ $true))&((x)|~(f @ $false)))|(f @ $true))&(((~(x)|(f @ $true))&((x)|(f @ $false)))|(f @ $false)))), introduced(definition)).
% 0.13/0.26  thf(c_0_3, plain, ((epred3_0)<=>((((~(x)|~(f @ $true))&((x)|~(f @ $false)))|(g @ $true))&(((~(x)|(f @ $true))&((x)|(f @ $false)))|(g @ $false)))), introduced(definition)).
% 0.13/0.26  thf(c_0_4, plain, (((~(((x)<=>(y)))&(((~(x)|(g @ $true))&((x)|(g @ $false)))<=>(y)))&(((~(y)|(g @ $true))&((y)|(g @ $false)))<=>(x)))&((((epred1_0)|(f @ $true))&((epred2_0)|(f @ $false)))<=>(epred3_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[3])]), c_0_1]), c_0_2]), c_0_3])).
% 0.13/0.26  thf(c_0_5, plain, (((((~(x)|~(y))&((x)|(y)))&((((~(x)|(x)|(y))&(~(g @ $false)|(x)|(y)))&((~(x)|~(g @ $true)|(y))&(~(g @ $false)|~(g @ $true)|(y))))&((~(x)|(g @ $true)|~(y))&((x)|(g @ $false)|~(y)))))&((((~(y)|(y)|(x))&(~(g @ $false)|(y)|(x)))&((~(y)|~(g @ $true)|(x))&(~(g @ $false)|~(g @ $true)|(x))))&((~(y)|(g @ $true)|~(x))&((y)|(g @ $false)|~(x)))))&((((~(epred2_0)|~(epred1_0)|(epred3_0))&(~(f @ $false)|~(epred1_0)|(epred3_0)))&((~(epred2_0)|~(f @ $true)|(epred3_0))&(~(f @ $false)|~(f @ $true)|(epred3_0))))&(((epred1_0)|(f @ $true)|~(epred3_0))&((epred2_0)|(f @ $false)|~(epred3_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
% 0.13/0.26  thf(c_0_6, plain, ((((~(x)|~(f @ $true)|(g @ $true)|~(epred3_0))&((x)|~(f @ $false)|(g @ $true)|~(epred3_0)))&((~(x)|(f @ $true)|(g @ $false)|~(epred3_0))&((x)|(f @ $false)|(g @ $false)|~(epred3_0))))&(((((((~(x)|(x)|(~(x)|(x))|(epred3_0))&(~(f @ $false)|(x)|(~(x)|(x))|(epred3_0)))&((~(x)|~(f @ $true)|(~(x)|(x))|(epred3_0))&(~(f @ $false)|~(f @ $true)|(~(x)|(x))|(epred3_0))))&(~(g @ $false)|(~(x)|(x))|(epred3_0)))&((((~(x)|(x)|((f @ $false)|(x))|(epred3_0))&(~(f @ $false)|(x)|((f @ $false)|(x))|(epred3_0)))&((~(x)|~(f @ $true)|((f @ $false)|(x))|(epred3_0))&(~(f @ $false)|~(f @ $true)|((f @ $false)|(x))|(epred3_0))))&(~(g @ $false)|((f @ $false)|(x))|(epred3_0))))&(((((~(x)|(x)|(~(x)|(f @ $true))|(epred3_0))&(~(f @ $false)|(x)|(~(x)|(f @ $true))|(epred3_0)))&((~(x)|~(f @ $true)|(~(x)|(f @ $true))|(epred3_0))&(~(f @ $false)|~(f @ $true)|(~(x)|(f @ $true))|(epred3_0))))&(~(g @ $false)|(~(x)|(f @ $true))|(epred3_0)))&((((~(x)|(x)|((f @ $false)|(f @ $true))|(epred3_0))&(~(f @ $false)|(x)|((f @ $false)|(f @ $true))|(epred3_0)))&((~(x)|~(f @ $true)|((f @ $false)|(f @ $true))|(epred3_0))&(~(f @ $false)|~(f @ $true)|((f @ $false)|(f @ $true))|(epred3_0))))&(~(g @ $false)|((f @ $false)|(f @ $true))|(epred3_0)))))&((((~(x)|(x)|~(g @ $true)|(epred3_0))&(~(f @ $false)|(x)|~(g @ $true)|(epred3_0)))&((~(x)|~(f @ $true)|~(g @ $true)|(epred3_0))&(~(f @ $false)|~(f @ $true)|~(g @ $true)|(epred3_0))))&(~(g @ $false)|~(g @ $true)|(epred3_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])).
% 0.13/0.26  thf(c_0_7, plain, ((x)|~((y))|~((g @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.13/0.26  thf(c_0_8, plain, ((x)|(y)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.13/0.26  thf(c_0_9, plain, ((((~(x)|~(f @ $true)|(f @ $true)|~(epred2_0))&((x)|~(f @ $false)|(f @ $true)|~(epred2_0)))&((~(x)|(f @ $true)|(f @ $false)|~(epred2_0))&((x)|(f @ $false)|(f @ $false)|~(epred2_0))))&(((((((~(x)|(x)|(~(x)|(x))|(epred2_0))&(~(f @ $false)|(x)|(~(x)|(x))|(epred2_0)))&((~(x)|~(f @ $true)|(~(x)|(x))|(epred2_0))&(~(f @ $false)|~(f @ $true)|(~(x)|(x))|(epred2_0))))&(~(f @ $false)|(~(x)|(x))|(epred2_0)))&((((~(x)|(x)|((f @ $false)|(x))|(epred2_0))&(~(f @ $false)|(x)|((f @ $false)|(x))|(epred2_0)))&((~(x)|~(f @ $true)|((f @ $false)|(x))|(epred2_0))&(~(f @ $false)|~(f @ $true)|((f @ $false)|(x))|(epred2_0))))&(~(f @ $false)|((f @ $false)|(x))|(epred2_0))))&(((((~(x)|(x)|(~(x)|(f @ $true))|(epred2_0))&(~(f @ $false)|(x)|(~(x)|(f @ $true))|(epred2_0)))&((~(x)|~(f @ $true)|(~(x)|(f @ $true))|(epred2_0))&(~(f @ $false)|~(f @ $true)|(~(x)|(f @ $true))|(epred2_0))))&(~(f @ $false)|(~(x)|(f @ $true))|(epred2_0)))&((((~(x)|(x)|((f @ $false)|(f @ $true))|(epred2_0))&(~(f @ $false)|(x)|((f @ $false)|(f @ $true))|(epred2_0)))&((~(x)|~(f @ $true)|((f @ $false)|(f @ $true))|(epred2_0))&(~(f @ $false)|~(f @ $true)|((f @ $false)|(f @ $true))|(epred2_0))))&(~(f @ $false)|((f @ $false)|(f @ $true))|(epred2_0)))))&((((~(x)|(x)|~(f @ $true)|(epred2_0))&(~(f @ $false)|(x)|~(f @ $true)|(epred2_0)))&((~(x)|~(f @ $true)|~(f @ $true)|(epred2_0))&(~(f @ $false)|~(f @ $true)|~(f @ $true)|(epred2_0))))&(~(f @ $false)|~(f @ $true)|(epred2_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])).
% 0.13/0.26  thf(c_0_10, plain, ((x)|(g @ (($true)))|~((f @ (~($true))))|~((epred3_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.13/0.26  thf(c_0_11, plain, ((x)|~((g @ (($true))))), inference(csr,[status(thm)],[c_0_7, c_0_8])).
% 0.13/0.26  thf(c_0_12, plain, ((x)|(f @ (~($true)))|(f @ (~($true)))|~((epred2_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.13/0.26  thf(c_0_13, plain, ((x)|(g @ (~($true)))|~((y))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.13/0.26  thf(c_0_14, plain, ((x)|~((f @ (~($true))))|~((epred3_0))), inference(csr,[status(thm)],[c_0_10, c_0_11])).
% 0.13/0.26  thf(c_0_15, plain, ((x)|(f @ (~($true)))|~((epred2_0))), inference(cn,[status(thm)],[c_0_12])).
% 0.13/0.26  thf(c_0_16, plain, ((f @ (~($true)))|(x)|(epred3_0)|~((g @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.13/0.26  thf(c_0_17, plain, ((g @ (~($true)))|(x)), inference(csr,[status(thm)],[c_0_13, c_0_8])).
% 0.13/0.26  thf(c_0_18, plain, ((epred2_0)|(f @ (~($true)))|~((epred3_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.13/0.26  thf(c_0_19, plain, ((x)|~((epred3_0))|~((epred2_0))), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 0.13/0.26  thf(c_0_20, plain, ((f @ (~($true)))|(epred3_0)|(x)), inference(csr,[status(thm)],[c_0_16, c_0_17])).
% 0.13/0.26  thf(c_0_21, plain, ((x)|~((epred3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_18]), c_0_19])).
% 0.13/0.26  thf(c_0_22, plain, ((epred2_0)|~((x))|~((f @ (($true))))|~((f @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.13/0.26  thf(c_0_23, plain, ((((~(x)|~(f @ $true)|~(f @ $true)|~(epred1_0))&((x)|~(f @ $false)|~(f @ $true)|~(epred1_0)))&((~(x)|(f @ $true)|~(f @ $false)|~(epred1_0))&((x)|(f @ $false)|~(f @ $false)|~(epred1_0))))&(((((((~(x)|(x)|(~(x)|(x))|(epred1_0))&(~(f @ $false)|(x)|(~(x)|(x))|(epred1_0)))&((~(x)|~(f @ $true)|(~(x)|(x))|(epred1_0))&(~(f @ $false)|~(f @ $true)|(~(x)|(x))|(epred1_0))))&((f @ $false)|(~(x)|(x))|(epred1_0)))&((((~(x)|(x)|((f @ $false)|(x))|(epred1_0))&(~(f @ $false)|(x)|((f @ $false)|(x))|(epred1_0)))&((~(x)|~(f @ $true)|((f @ $false)|(x))|(epred1_0))&(~(f @ $false)|~(f @ $true)|((f @ $false)|(x))|(epred1_0))))&((f @ $false)|((f @ $false)|(x))|(epred1_0))))&(((((~(x)|(x)|(~(x)|(f @ $true))|(epred1_0))&(~(f @ $false)|(x)|(~(x)|(f @ $true))|(epred1_0)))&((~(x)|~(f @ $true)|(~(x)|(f @ $true))|(epred1_0))&(~(f @ $false)|~(f @ $true)|(~(x)|(f @ $true))|(epred1_0))))&((f @ $false)|(~(x)|(f @ $true))|(epred1_0)))&((((~(x)|(x)|((f @ $false)|(f @ $true))|(epred1_0))&(~(f @ $false)|(x)|((f @ $false)|(f @ $true))|(epred1_0)))&((~(x)|~(f @ $true)|((f @ $false)|(f @ $true))|(epred1_0))&(~(f @ $false)|~(f @ $true)|((f @ $false)|(f @ $true))|(epred1_0))))&((f @ $false)|((f @ $false)|(f @ $true))|(epred1_0)))))&((((~(x)|(x)|(f @ $true)|(epred1_0))&(~(f @ $false)|(x)|(f @ $true)|(epred1_0)))&((~(x)|~(f @ $true)|(f @ $true)|(epred1_0))&(~(f @ $false)|~(f @ $true)|(f @ $true)|(epred1_0))))&((f @ $false)|(f @ $true)|(epred1_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])).
% 0.13/0.26  thf(c_0_24, plain, ((x)|(f @ (($true)))|~((f @ (~($true))))|~((epred2_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.13/0.26  thf(c_0_25, plain, ((epred2_0)|~((f @ (~($true))))|~((f @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.13/0.26  thf(c_0_26, plain, ((f @ (~($true)))|(x)), inference(csr,[status(thm)],[c_0_20, c_0_21])).
% 0.13/0.26  thf(c_0_27, plain, ((epred2_0)|~((x))|~((f @ (($true))))), inference(cn,[status(thm)],[c_0_22])).
% 0.13/0.26  thf(c_0_28, plain, ((x)|(f @ (($true)))|(epred1_0)|~((f @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_23])).
% 0.13/0.26  thf(c_0_29, plain, ((f @ (~($true)))|(f @ (($true)))|(epred1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
% 0.13/0.26  thf(c_0_30, plain, ((epred3_0)|~((f @ (~($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.13/0.26  thf(c_0_31, plain, ((epred3_0)|~((epred2_0))|~((f @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.13/0.26  thf(c_0_32, plain, ((f @ (($true)))|(x)|~((epred2_0))), inference(csr,[status(thm)],[c_0_24, c_0_15])).
% 0.13/0.26  thf(c_0_33, plain, ((epred2_0)|~((f @ (($true))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27])).
% 0.13/0.26  thf(c_0_34, plain, ((f @ (($true)))|(epred1_0)|(x)), inference(csr,[status(thm)],[c_0_28, c_0_29])).
% 0.13/0.26  thf(c_0_35, plain, ((x)|~((epred1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_26]), c_0_21])).
% 0.13/0.26  thf(c_0_36, plain, ((x)|~((epred2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_21])).
% 0.13/0.26  thf(c_0_37, plain, ((y)|(g @ (~($true)))|~((x))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.13/0.26  thf(c_0_38, plain, (~((x))|~((y))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.13/0.26  thf(c_0_39, plain, (x), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35]), c_0_36])).
% 0.13/0.26  thf(c_0_40, plain, ((f @ (($true)))|(epred2_0)|~((f @ (~($true))))|~((x))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.13/0.26  thf(c_0_41, plain, ((g @ (~($true)))|(y)), inference(csr,[status(thm)],[c_0_37, c_0_17])).
% 0.13/0.26  thf(c_0_42, plain, ~((y)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39])])).
% 0.13/0.26  thf(c_0_43, plain, ((epred2_0)|~((f @ (~($true))))|~((x))), inference(csr,[status(thm)],[c_0_40, c_0_25])).
% 0.13/0.26  thf(c_0_44, plain, ((f @ (($true)))|(epred3_0)|~((g @ (~($true))))|~((x))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.13/0.26  thf(c_0_45, plain, (g @ (~($true))), inference(sr,[status(thm)],[c_0_41, c_0_42])).
% 0.13/0.26  thf(c_0_46, plain, ((epred2_0)|~((x))|~((epred3_0))), inference(spm,[status(thm)],[c_0_43, c_0_18])).
% 0.13/0.26  thf(c_0_47, plain, (~((x))|~((f @ (($true))))|~((f @ (($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_23])).
% 0.13/0.26  thf(c_0_48, plain, ((f @ (($true)))|(epred3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_39])]), c_0_45])])).
% 0.13/0.26  thf(c_0_49, plain, ((epred2_0)|~((epred3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_39])])).
% 0.13/0.26  thf(c_0_50, plain, ((y)|~((x))|~((g @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.13/0.26  thf(c_0_51, plain, ((g @ (($true)))|~((x))|~((f @ (($true))))|~((epred3_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.13/0.26  thf(c_0_52, plain, ((x)|~((f @ (~($true))))|~((f @ (($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_23])).
% 0.13/0.26  thf(c_0_53, plain, (~((x))|~((epred1_0))|~((f @ (($true))))), inference(cn,[status(thm)],[c_0_47])).
% 0.13/0.26  thf(c_0_54, plain, ((epred3_0)|~((epred2_0))), inference(spm,[status(thm)],[c_0_31, c_0_48])).
% 0.13/0.26  thf(c_0_55, plain, (epred2_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_48]), c_0_49])).
% 0.13/0.26  thf(c_0_56, plain, ((y)|~((g @ (($true))))), inference(csr,[status(thm)],[c_0_50, c_0_11])).
% 0.13/0.26  thf(c_0_57, plain, ((g @ (($true)))|~((f @ (($true))))|~((epred3_0))), inference(csr,[status(thm)],[c_0_51, c_0_21])).
% 0.13/0.26  thf(c_0_58, plain, ((f @ (($true)))|(f @ (~($true)))|~((x))|~((epred2_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.13/0.26  thf(c_0_59, plain, ((f @ (($true)))|~((x))|~((f @ (~($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_23])).
% 0.13/0.26  thf(c_0_60, plain, (~((f @ (($true))))|~((f @ (~($true))))|~((epred1_0))), inference(csr,[status(thm)],[c_0_52, c_0_53])).
% 0.13/0.26  thf(c_0_61, plain, ((epred1_0)|(f @ (($true)))|~((epred3_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.13/0.26  thf(c_0_62, plain, (epred3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55])])).
% 0.13/0.26  thf(c_0_63, plain, ((y)|~((f @ (($true))))|~((epred3_0))), inference(spm,[status(thm)],[c_0_56, c_0_57])).
% 0.13/0.26  thf(c_0_64, plain, ((f @ (~($true)))|(f @ (($true)))|~((epred2_0))), inference(csr,[status(thm)],[c_0_58, c_0_32])).
% 0.13/0.26  thf(c_0_65, plain, (~((f @ (~($true))))|~((x))|~((epred1_0))), inference(csr,[status(thm)],[c_0_59, c_0_60])).
% 0.13/0.26  thf(c_0_66, plain, ((f @ (($true)))|(epred1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_62])])).
% 0.13/0.26  thf(c_0_67, plain, ~((f @ (($true)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_62])]), c_0_42])).
% 0.13/0.26  thf(c_0_68, plain, ((f @ (~($true)))|(f @ (($true)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_55])])).
% 0.13/0.26  thf(c_0_69, plain, (~((f @ (~($true))))|~((epred1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65, c_0_39])])).
% 0.13/0.26  thf(c_0_70, plain, (epred1_0), inference(sr,[status(thm)],[c_0_66, c_0_67])).
% 0.13/0.26  thf(c_0_71, plain, (f @ (~($true))), inference(sr,[status(thm)],[c_0_68, c_0_67])).
% 0.13/0.26  thf(c_0_72, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_70])]), c_0_71])]), ['proof']).
% 0.13/0.26  % SZS output end CNFRefutation
% 0.13/0.26  % Parsed axioms                        : 6
% 0.13/0.26  % Removed by relevancy pruning/SinE    : 0
% 0.13/0.26  % Initial clauses                      : 112
% 0.13/0.26  % Removed in clause preprocessing      : 67
% 0.13/0.26  % Initial clauses in saturation        : 45
% 0.13/0.26  % Processed clauses                    : 119
% 0.13/0.26  % ...of these trivial                  : 2
% 0.13/0.26  % ...subsumed                          : 22
% 0.13/0.26  % ...remaining for further processing  : 94
% 0.13/0.26  % Other redundant clauses eliminated   : 0
% 0.13/0.26  % Clauses deleted for lack of memory   : 0
% 0.13/0.26  % Backward-subsumed                    : 21
% 0.13/0.26  % Backward-rewritten                   : 29
% 0.13/0.26  % Generated clauses                    : 94
% 0.13/0.26  % ...of the previous two non-redundant : 64
% 0.13/0.26  % ...aggressively subsumed             : 0
% 0.13/0.26  % Contextual simplify-reflections      : 23
% 0.13/0.26  % Paramodulations                      : 91
% 0.13/0.26  % Factorizations                       : 0
% 0.13/0.26  % NegExts                              : 0
% 0.13/0.26  % Equation resolutions                 : 0
% 0.13/0.26  % Disequality decompositions           : 0
% 0.13/0.26  % Total rewrite steps                  : 33
% 0.13/0.26  % ...of those cached                   : 27
% 0.13/0.26  % Propositional unsat checks           : 0
% 0.13/0.26  %    Propositional check models        : 0
% 0.13/0.26  %    Propositional check unsatisfiable : 0
% 0.13/0.26  %    Propositional clauses             : 0
% 0.13/0.26  %    Propositional clauses after purity: 0
% 0.13/0.26  %    Propositional unsat core size     : 0
% 0.13/0.26  %    Propositional preprocessing time  : 0.000
% 0.13/0.26  %    Propositional encoding time       : 0.000
% 0.13/0.26  %    Propositional solver time         : 0.000
% 0.13/0.26  %    Success case prop preproc time    : 0.000
% 0.13/0.26  %    Success case prop encoding time   : 0.000
% 0.13/0.26  %    Success case prop solver time     : 0.000
% 0.13/0.26  % Current number of processed clauses  : 9
% 0.13/0.26  %    Positive orientable unit clauses  : 6
% 0.13/0.26  %    Positive unorientable unit clauses: 0
% 0.13/0.26  %    Negative unit clauses             : 2
% 0.13/0.26  %    Non-unit-clauses                  : 1
% 0.13/0.26  % Current number of unprocessed clauses: 16
% 0.13/0.26  % ...number of literals in the above   : 57
% 0.13/0.26  % Current number of archived formulas  : 0
% 0.13/0.26  % Current number of archived clauses   : 85
% 0.13/0.26  % Clause-clause subsumption calls (NU) : 243
% 0.13/0.26  % Rec. Clause-clause subsumption calls : 173
% 0.13/0.26  % Non-unit clause-clause subsumptions  : 62
% 0.13/0.26  % Unit Clause-clause subsumption calls : 23
% 0.13/0.26  % Rewrite failures with RHS unbound    : 0
% 0.13/0.26  % BW rewrite match attempts            : 5
% 0.13/0.26  % BW rewrite match successes           : 5
% 0.13/0.26  % Condensation attempts                : 119
% 0.13/0.26  % Condensation successes               : 0
% 0.13/0.26  % Termbank termtop insertions          : 4675
% 0.13/0.26  % Search garbage collected termcells   : 692
% 0.13/0.26  
% 0.13/0.26  % -------------------------------------------------
% 0.13/0.26  % User time                : 0.007 s
% 0.13/0.26  % System time              : 0.005 s
% 0.13/0.26  % Total time               : 0.012 s
% 0.13/0.26  % Maximum resident set size: 3572 pages
% 0.13/0.26  
% 0.13/0.26  % -------------------------------------------------
% 0.13/0.26  % User time                : 0.020 s
% 0.13/0.26  % System time              : 0.015 s
% 0.13/0.26  % Total time               : 0.035 s
% 0.13/0.26  % Maximum resident set size: 4864 pages
% 0.13/0.26  % E exiting
%------------------------------------------------------------------------------