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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEV149^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 08:35:06 AM UTC 2026

% Result   : Theorem 0.06s 0.25s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEV149^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18  % Computer : n010.cluster.edu
% 0.06/0.18  % Model    : x86_64 x86_64
% 0.06/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18  % Memory   : 8046.5625MB
% 0.06/0.18  % OS       : Linux 6.8.0-71-generic
% 0.06/0.18  % CPULimit : 300
% 0.06/0.18  % WCLimit  : 300
% 0.06/0.18  % DateTime : Tue Sep 29 15:17:18 UTC 2026
% 0.06/0.18  % CPUTime  : 
% 0.06/0.18  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.22  Running higher-order theorem proving
% 0.06/0.23  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.PxHOjl2R0l/E---3.1_2981937.p
% 0.06/0.25  % Version: 3.5.1-ho
% 0.06/0.25  % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.06/0.25  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.25  % Starting post_as_ho1 with 1500s (5) cores
% 0.06/0.25  % Starting post_as_ho12 with 300s (1) cores
% 0.06/0.25  % Starting new_ho_3 with 300s (1) cores
% 0.06/0.25  % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.06/0.25  % post_as_ho1 with pid 2981965 completed with status 0
% 0.06/0.25  % Result found by post_as_ho1
% 0.06/0.25  % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.06/0.25  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.25  % Starting post_as_ho1 with 1500s (5) cores
% 0.06/0.25  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.06/0.25  % No SInE strategy applied
% 0.06/0.25  % Search class: HGUNF-FFMF11-SSSFFMBN
% 0.06/0.25  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.06/0.25  % Starting SubtermCWHack with 136s (1) cores
% 0.06/0.25  % Starting post_as_ho1 with 151s (1) cores
% 0.06/0.25  % Starting sh5l with 136s (1) cores
% 0.06/0.25  % Starting new_bool_1 with 136s (1) cores
% 0.06/0.25  % Starting new_bool_2 with 136s (1) cores
% 0.06/0.25  % SubtermCWHack with pid 2981972 completed with status 0
% 0.06/0.25  % Result found by SubtermCWHack
% 0.06/0.25  % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.06/0.25  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.25  % Starting post_as_ho1 with 1500s (5) cores
% 0.06/0.25  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.06/0.25  % No SInE strategy applied
% 0.06/0.25  % Search class: HGUNF-FFMF11-SSSFFMBN
% 0.06/0.25  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.06/0.25  % Starting SubtermCWHack with 136s (1) cores
% 0.06/0.25  % Preprocessing time       : 0.001 s
% 0.06/0.25  
% 0.06/0.25  % Proof found!
% 0.06/0.25  % SZS status Theorem
% 0.06/0.25  % SZS output start CNFRefutation
% 0.06/0.25  thf(decl_sort1, type, a: $tType).
% 0.06/0.25  thf(decl_23, type, epred1_4: (a > $o) > a > (a > a > $o) > (a > a > $o) > $o).
% 0.06/0.25  thf(decl_24, type, epred2_0: a > a > $o).
% 0.06/0.25  thf(decl_25, type, epred3_0: a > a > $o).
% 0.06/0.25  thf(decl_26, type, esk1_0: a).
% 0.06/0.25  thf(decl_27, type, esk2_0: a).
% 0.06/0.25  thf(decl_28, type, esk3_1: (a > $o) > a).
% 0.06/0.25  thf(decl_29, type, esk4_1: (a > $o) > a).
% 0.06/0.25  thf(decl_30, type, esk5_1: (a > $o) > a).
% 0.06/0.25  thf(decl_31, type, epred4_0: a > $o).
% 0.06/0.25  thf(decl_32, type, epred5_5: (a > a > $o) > (a > a > $o) > a > (a > $o) > a > a > $o).
% 0.06/0.25  thf(decl_33, type, epred6_5: (a > a > $o) > (a > a > $o) > a > (a > $o) > a > a > $o).
% 0.06/0.25  thf(decl_34, type, epred7_6: (a > a > $o) > (a > a > $o) > a > (a > $o) > a > a > a > $o).
% 0.06/0.25  thf(decl_35, type, epred8_6: (a > a > $o) > (a > a > $o) > a > (a > $o) > a > a > a > $o).
% 0.06/0.25  thf(cTHM251B_pme, conjecture, ![X1:a > a > $o, X2:a > a > $o, X3:a, X4:a]:((![X5:a > $o]:(((![X6:a]:((((X1 @ X3 @ X6)|(X2 @ X3 @ X6))=>(X5 @ X6)))&![X7:a, X8:a]:((((X5 @ X7)&((X1 @ X7 @ X8)|(X2 @ X7 @ X8)))=>(X5 @ X8))))=>(X5 @ X4)))=>![X5:a > $o]:(((![X6:a]:(((![X9:a > $o]:(((![X10:a]:(((X1 @ X3 @ X10)=>(X9 @ X10)))&![X7:a, X8:a]:((((X9 @ X7)&(X1 @ X7 @ X8))=>(X9 @ X8))))=>(X9 @ X6)))|![X9:a > $o]:(((![X10:a]:(((X2 @ X3 @ X10)=>(X9 @ X10)))&![X7:a, X8:a]:((((X9 @ X7)&(X2 @ X7 @ X8))=>(X9 @ X8))))=>(X9 @ X6))))=>(X5 @ X6)))&![X7:a, X8:a]:((((X5 @ X7)&(![X9:a > $o]:(((![X6:a]:(((X1 @ X7 @ X6)=>(X9 @ X6)))&![X11:a, X12:a]:((((X9 @ X11)&(X1 @ X11 @ X12))=>(X9 @ X12))))=>(X9 @ X8)))|![X9:a > $o]:(((![X6:a]:(((X2 @ X7 @ X6)=>(X9 @ X6)))&![X11:a, X12:a]:((((X9 @ X11)&(X2 @ X11 @ X12))=>(X9 @ X12))))=>(X9 @ X8)))))=>(X5 @ X8))))=>(X5 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.PxHOjl2R0l/E---3.1_2981937.p', cTHM251B_pme)).
% 0.06/0.25  thf(c_0_1, plain, ![X1:a > a > $o, X2:a > a > $o, X3:a, X5:a > $o]:(((epred1_4 @ X5 @ X3 @ X2 @ X1)<=>(![X6:a]:(((![X9:a > $o]:(((![X10:a]:(((X1 @ X3 @ X10)=>(X9 @ X10)))&![X7:a, X8:a]:((((X9 @ X7)&(X1 @ X7 @ X8))=>(X9 @ X8))))=>(X9 @ X6)))|![X9:a > $o]:(((![X10:a]:(((X2 @ X3 @ X10)=>(X9 @ X10)))&![X7:a, X8:a]:((((X9 @ X7)&(X2 @ X7 @ X8))=>(X9 @ X8))))=>(X9 @ X6))))=>(X5 @ X6)))&![X7:a, X8:a]:((((X5 @ X7)&(![X9:a > $o]:(((![X6:a]:(((X1 @ X7 @ X6)=>(X9 @ X6)))&![X11:a, X12:a]:((((X9 @ X11)&(X1 @ X11 @ X12))=>(X9 @ X12))))=>(X9 @ X8)))|![X9:a > $o]:(((![X6:a]:(((X2 @ X7 @ X6)=>(X9 @ X6)))&![X11:a, X12:a]:((((X9 @ X11)&(X2 @ X11 @ X12))=>(X9 @ X12))))=>(X9 @ X8)))))=>(X5 @ X8)))))), introduced(definition)).
% 0.06/0.25  thf(c_0_2, plain, ![X1:a > a > $o, X2:a > a > $o, X3:a, X5:a > $o]:(((epred1_4 @ X5 @ X3 @ X2 @ X1)=>(![X6:a]:(((![X9:a > $o]:(((![X10:a]:(((X1 @ X3 @ X10)=>(X9 @ X10)))&![X7:a, X8:a]:((((X9 @ X7)&(X1 @ X7 @ X8))=>(X9 @ X8))))=>(X9 @ X6)))|![X9:a > $o]:(((![X10:a]:(((X2 @ X3 @ X10)=>(X9 @ X10)))&![X7:a, X8:a]:((((X9 @ X7)&(X2 @ X7 @ X8))=>(X9 @ X8))))=>(X9 @ X6))))=>(X5 @ X6)))&![X7:a, X8:a]:((((X5 @ X7)&(![X9:a > $o]:(((![X6:a]:(((X1 @ X7 @ X6)=>(X9 @ X6)))&![X11:a, X12:a]:((((X9 @ X11)&(X1 @ X11 @ X12))=>(X9 @ X12))))=>(X9 @ X8)))|![X9:a > $o]:(((![X6:a]:(((X2 @ X7 @ X6)=>(X9 @ X6)))&![X11:a, X12:a]:((((X9 @ X11)&(X2 @ X11 @ X12))=>(X9 @ X12))))=>(X9 @ X8)))))=>(X5 @ X8)))))), inference(split_equiv,[status(thm)],[c_0_1])).
% 0.06/0.25  thf(c_0_3, negated_conjecture, ~(![X1:a > a > $o, X2:a > a > $o, X3:a, X4:a]:((![X5:a > $o]:(((![X6:a]:((((X1 @ X3 @ X6)|(X2 @ X3 @ X6))=>(X5 @ X6)))&![X7:a, X8:a]:((((X5 @ X7)&((X1 @ X7 @ X8)|(X2 @ X7 @ X8)))=>(X5 @ X8))))=>(X5 @ X4)))=>![X5:a > $o]:(((![X6:a]:(((![X9:a > $o]:(((![X10:a]:(((X1 @ X3 @ X10)=>(X9 @ X10)))&![X7:a, X8:a]:((((X9 @ X7)&(X1 @ X7 @ X8))=>(X9 @ X8))))=>(X9 @ X6)))|![X9:a > $o]:(((![X10:a]:(((X2 @ X3 @ X10)=>(X9 @ X10)))&![X7:a, X8:a]:((((X9 @ X7)&(X2 @ X7 @ X8))=>(X9 @ X8))))=>(X9 @ X6))))=>(X5 @ X6)))&![X7:a, X8:a]:((((X5 @ X7)&(![X9:a > $o]:(((![X6:a]:(((X1 @ X7 @ X6)=>(X9 @ X6)))&![X11:a, X12:a]:((((X9 @ X11)&(X1 @ X11 @ X12))=>(X9 @ X12))))=>(X9 @ X8)))|![X9:a > $o]:(((![X6:a]:(((X2 @ X7 @ X6)=>(X9 @ X6)))&![X11:a, X12:a]:((((X9 @ X11)&(X2 @ X11 @ X12))=>(X9 @ X12))))=>(X9 @ X8)))))=>(X5 @ X8))))=>(X5 @ X4)))))), inference(assume_negation,[status(cth)],[cTHM251B_pme])).
% 0.06/0.25  thf(c_0_4, plain, ![X50:a > a > $o, X51:a > a > $o, X52:a, X53:a > $o, X54:a, X56:a, X57:a, X58:a, X60:a, X61:a, X62:a, X63:a, X64:a, X66:a, X67:a, X68:a, X70:a, X71:a, X72:a]:((((((~(X50 @ X52 @ X56)|(epred5_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X56)|(X53 @ X54)|~(epred1_4 @ X53 @ X52 @ X51 @ X50))&(~(epred5_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X57)|~(X50 @ X57 @ X58)|(epred5_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X58)|(X53 @ X54)|~(epred1_4 @ X53 @ X52 @ X51 @ X50)))&(~(epred5_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X54)|(X53 @ X54)|~(epred1_4 @ X53 @ X52 @ X51 @ X50)))&(((~(X51 @ X52 @ X60)|(epred6_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X60)|(X53 @ X54)|~(epred1_4 @ X53 @ X52 @ X51 @ X50))&(~(epred6_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X61)|~(X51 @ X61 @ X62)|(epred6_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X62)|(X53 @ X54)|~(epred1_4 @ X53 @ X52 @ X51 @ X50)))&(~(epred6_5 @ X50 @ X51 @ X52 @ X53 @ X54 @ X54)|(X53 @ X54)|~(epred1_4 @ X53 @ X52 @ X51 @ X50))))&((((~(X50 @ X63 @ X66)|(epred7_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X66)|~(X53 @ X63)|(X53 @ X64)|~(epred1_4 @ X53 @ X52 @ X51 @ X50))&(~(epred7_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X67)|~(X50 @ X67 @ X68)|(epred7_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X68)|~(X53 @ X63)|(X53 @ X64)|~(epred1_4 @ X53 @ X52 @ X51 @ X50)))&(~(epred7_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X64)|~(X53 @ X63)|(X53 @ X64)|~(epred1_4 @ X53 @ X52 @ X51 @ X50)))&(((~(X51 @ X63 @ X70)|(epred8_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X70)|~(X53 @ X63)|(X53 @ X64)|~(epred1_4 @ X53 @ X52 @ X51 @ X50))&(~(epred8_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X71)|~(X51 @ X71 @ X72)|(epred8_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X72)|~(X53 @ X63)|(X53 @ X64)|~(epred1_4 @ X53 @ X52 @ X51 @ X50)))&(~(epred8_6 @ X50 @ X51 @ X52 @ X53 @ X63 @ X64 @ X64)|~(X53 @ X63)|(X53 @ X64)|~(epred1_4 @ X53 @ X52 @ X51 @ X50)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])).
% 0.06/0.25  thf(c_0_5, negated_conjecture, ~(![X1:a > a > $o, X2:a > a > $o, X3:a, X4:a]:((![X5:a > $o]:(((![X6:a]:((((X1 @ X3 @ X6)|(X2 @ X3 @ X6))=>(X5 @ X6)))&![X7:a, X8:a]:((((X5 @ X7)&((X1 @ X7 @ X8)|(X2 @ X7 @ X8)))=>(X5 @ X8))))=>(X5 @ X4)))=>![X5:a > $o]:(((epred1_4 @ X5 @ X3 @ X2 @ X1)=>(X5 @ X4)))))), inference(apply_def,[status(thm)],[c_0_3, c_0_1])).
% 0.06/0.25  thf(c_0_6, plain, ![X6:a, X5:a > $o, X4:a, X3:a, X2:a > a > $o, X1:a > a > $o]:(((X5 @ X6)|~((epred7_6 @ X1 @ X2 @ X3 @ X5 @ X4 @ X6 @ X6))|~((X5 @ X4))|~((epred1_4 @ X5 @ X3 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.06/0.25  thf(c_0_7, plain, ![X4:a, X3:a, X7:a, X6:a, X5:a > $o, X2:a > a > $o, X1:a > a > $o]:(((epred7_6 @ X1 @ X2 @ X6 @ X5 @ X3 @ X7 @ X4)|(X5 @ X7)|~((X1 @ X3 @ X4))|~((X5 @ X3))|~((epred1_4 @ X5 @ X6 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.06/0.25  thf(c_0_8, negated_conjecture, ![X45:a > $o]:(((((((X45 @ (esk4_1 @ X45))|((epred2_0 @ esk1_0 @ (esk3_1 @ X45))|(epred3_0 @ esk1_0 @ (esk3_1 @ X45)))|(X45 @ esk2_0))&((epred2_0 @ (esk4_1 @ X45) @ (esk5_1 @ X45))|(epred3_0 @ (esk4_1 @ X45) @ (esk5_1 @ X45))|((epred2_0 @ esk1_0 @ (esk3_1 @ X45))|(epred3_0 @ esk1_0 @ (esk3_1 @ X45)))|(X45 @ esk2_0)))&(~(X45 @ (esk5_1 @ X45))|((epred2_0 @ esk1_0 @ (esk3_1 @ X45))|(epred3_0 @ esk1_0 @ (esk3_1 @ X45)))|(X45 @ esk2_0)))&((((X45 @ (esk4_1 @ X45))|~(X45 @ (esk3_1 @ X45))|(X45 @ esk2_0))&((epred2_0 @ (esk4_1 @ X45) @ (esk5_1 @ X45))|(epred3_0 @ (esk4_1 @ X45) @ (esk5_1 @ X45))|~(X45 @ (esk3_1 @ X45))|(X45 @ esk2_0)))&(~(X45 @ (esk5_1 @ X45))|~(X45 @ (esk3_1 @ X45))|(X45 @ esk2_0))))&((epred1_4 @ epred4_0 @ esk1_0 @ epred3_0 @ epred2_0)&~(epred4_0 @ esk2_0)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])])).
% 0.06/0.25  thf(c_0_9, plain, ![X6:a, X5:a > $o, X4:a, X3:a, X2:a > a > $o, X1:a > a > $o]:(((X5 @ X6)|~((epred8_6 @ X1 @ X2 @ X3 @ X5 @ X4 @ X6 @ X6))|~((X5 @ X4))|~((epred1_4 @ X5 @ X3 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.06/0.25  thf(c_0_10, plain, ![X1:a > a > $o, X4:a, X7:a, X6:a, X5:a > $o, X3:a, X2:a > a > $o]:(((epred8_6 @ X2 @ X1 @ X6 @ X5 @ X3 @ X7 @ X4)|(X5 @ X7)|~((X1 @ X3 @ X4))|~((X5 @ X3))|~((epred1_4 @ X5 @ X6 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.06/0.25  thf(c_0_11, plain, ![X1:a > a > $o, X2:a > a > $o, X4:a, X3:a, X5:a > $o, X6:a]:(((X5 @ X3)|~((epred1_4 @ X5 @ X4 @ X1 @ X2))|~((X2 @ X6 @ X3))|~((X5 @ X6)))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 0.06/0.25  thf(c_0_12, negated_conjecture, (epred1_4 @ epred4_0 @ esk1_0 @ epred3_0 @ epred2_0), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.06/0.25  thf(c_0_13, plain, ![X1:a > a > $o, X2:a > a > $o, X4:a, X3:a, X5:a > $o, X6:a]:(((X5 @ X3)|~((epred1_4 @ X5 @ X4 @ X1 @ X2))|~((X1 @ X6 @ X3))|~((X5 @ X6)))), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 0.06/0.25  thf(c_0_14, negated_conjecture, ![X3:a, X4:a]:(((epred4_0 @ X3)|~((epred2_0 @ X4 @ X3))|~((epred4_0 @ X4)))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 0.06/0.25  thf(c_0_15, negated_conjecture, ![X5:a > $o]:(((epred2_0 @ (esk4_1 @ X5) @ (esk5_1 @ X5))|(epred3_0 @ (esk4_1 @ X5) @ (esk5_1 @ X5))|(epred2_0 @ esk1_0 @ (esk3_1 @ X5))|(epred3_0 @ esk1_0 @ (esk3_1 @ X5))|(X5 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.06/0.25  thf(c_0_16, negated_conjecture, ![X3:a, X4:a]:(((epred4_0 @ X3)|~((epred3_0 @ X4 @ X3))|~((epred4_0 @ X4)))), inference(spm,[status(thm)],[c_0_13, c_0_12])).
% 0.06/0.25  thf(c_0_17, plain, ![X5:a > $o, X4:a, X3:a, X2:a > a > $o, X1:a > a > $o]:(((X5 @ X4)|~((epred5_5 @ X1 @ X2 @ X3 @ X5 @ X4 @ X4))|~((epred1_4 @ X5 @ X3 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.06/0.25  thf(c_0_18, plain, ![X6:a, X5:a > $o, X4:a, X3:a, X2:a > a > $o, X1:a > a > $o]:(((epred5_5 @ X1 @ X2 @ X3 @ X5 @ X6 @ X4)|(X5 @ X6)|~((X1 @ X3 @ X4))|~((epred1_4 @ X5 @ X3 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.06/0.25  thf(c_0_19, negated_conjecture, ![X5:a > $o]:(((epred2_0 @ esk1_0 @ (esk3_1 @ X5))|(epred3_0 @ esk1_0 @ (esk3_1 @ X5))|(X5 @ esk2_0)|~((X5 @ (esk5_1 @ X5))))), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.06/0.25  thf(c_0_20, negated_conjecture, ![X5:a > $o]:(((epred2_0 @ esk1_0 @ (esk3_1 @ X5))|(epred3_0 @ esk1_0 @ (esk3_1 @ X5))|(epred4_0 @ (esk5_1 @ X5))|(X5 @ esk2_0)|~((epred4_0 @ (esk4_1 @ X5))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])).
% 0.06/0.25  thf(c_0_21, negated_conjecture, ~((epred4_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.06/0.25  thf(c_0_22, plain, ![X5:a > $o, X4:a, X3:a, X2:a > a > $o, X1:a > a > $o]:(((X5 @ X4)|~((epred6_5 @ X1 @ X2 @ X3 @ X5 @ X4 @ X4))|~((epred1_4 @ X5 @ X3 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.06/0.25  thf(c_0_23, plain, ![X1:a > a > $o, X6:a, X5:a > $o, X4:a, X3:a, X2:a > a > $o]:(((epred6_5 @ X2 @ X1 @ X3 @ X5 @ X6 @ X4)|(X5 @ X6)|~((X1 @ X3 @ X4))|~((epred1_4 @ X5 @ X3 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.06/0.25  thf(c_0_24, negated_conjecture, ![X5:a > $o]:(((epred2_0 @ (esk4_1 @ X5) @ (esk5_1 @ X5))|(epred3_0 @ (esk4_1 @ X5) @ (esk5_1 @ X5))|(X5 @ esk2_0)|~((X5 @ (esk3_1 @ X5))))), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.06/0.25  thf(c_0_25, plain, ![X1:a > a > $o, X2:a > a > $o, X5:a > $o, X4:a, X3:a]:(((X5 @ X3)|~((epred1_4 @ X5 @ X4 @ X1 @ X2))|~((X2 @ X4 @ X3)))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 0.06/0.25  thf(c_0_26, negated_conjecture, ((epred2_0 @ esk1_0 @ (esk3_1 @ epred4_0))|(epred3_0 @ esk1_0 @ (esk3_1 @ epred4_0))|~((epred4_0 @ (esk4_1 @ epred4_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_21])).
% 0.06/0.25  thf(c_0_27, negated_conjecture, ![X5:a > $o]:(((X5 @ (esk4_1 @ X5))|(epred2_0 @ esk1_0 @ (esk3_1 @ X5))|(epred3_0 @ esk1_0 @ (esk3_1 @ X5))|(X5 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.06/0.25  thf(c_0_28, plain, ![X1:a > a > $o, X2:a > a > $o, X5:a > $o, X4:a, X3:a]:(((X5 @ X3)|~((epred1_4 @ X5 @ X4 @ X1 @ X2))|~((X1 @ X4 @ X3)))), inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 0.06/0.25  thf(c_0_29, negated_conjecture, ![X5:a > $o]:(((epred3_0 @ (esk4_1 @ X5) @ (esk5_1 @ X5))|(epred4_0 @ (esk5_1 @ X5))|(X5 @ esk2_0)|~((epred4_0 @ (esk4_1 @ X5)))|~((X5 @ (esk3_1 @ X5))))), inference(spm,[status(thm)],[c_0_14, c_0_24])).
% 0.06/0.25  thf(c_0_30, negated_conjecture, ![X3:a]:(((epred4_0 @ X3)|~((epred2_0 @ esk1_0 @ X3)))), inference(spm,[status(thm)],[c_0_25, c_0_12])).
% 0.06/0.25  thf(c_0_31, negated_conjecture, ((epred3_0 @ esk1_0 @ (esk3_1 @ epred4_0))|(epred2_0 @ esk1_0 @ (esk3_1 @ epred4_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_21])).
% 0.06/0.25  thf(c_0_32, negated_conjecture, ![X3:a]:(((epred4_0 @ X3)|~((epred3_0 @ esk1_0 @ X3)))), inference(spm,[status(thm)],[c_0_28, c_0_12])).
% 0.06/0.25  thf(c_0_33, negated_conjecture, ![X5:a > $o]:(((epred4_0 @ (esk5_1 @ X5))|(X5 @ esk2_0)|~((epred4_0 @ (esk4_1 @ X5)))|~((X5 @ (esk3_1 @ X5))))), inference(spm,[status(thm)],[c_0_16, c_0_29])).
% 0.06/0.25  thf(c_0_34, negated_conjecture, (epred4_0 @ (esk3_1 @ epred4_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32])).
% 0.06/0.25  thf(c_0_35, negated_conjecture, ![X5:a > $o]:(((X5 @ esk2_0)|~((X5 @ (esk5_1 @ X5)))|~((X5 @ (esk3_1 @ X5))))), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.06/0.25  thf(c_0_36, negated_conjecture, ((epred4_0 @ (esk5_1 @ epred4_0))|~((epred4_0 @ (esk4_1 @ epred4_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_21])).
% 0.06/0.25  thf(c_0_37, negated_conjecture, ~((epred4_0 @ (esk4_1 @ epred4_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_34])]), c_0_21])).
% 0.06/0.25  thf(c_0_38, negated_conjecture, ![X5:a > $o]:(((X5 @ (esk4_1 @ X5))|(X5 @ esk2_0)|~((X5 @ (esk3_1 @ X5))))), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.06/0.25  thf(c_0_39, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_34])]), c_0_21]), ['proof']).
% 0.06/0.25  % SZS output end CNFRefutation
% 0.06/0.25  % Parsed axioms                        : 2
% 0.06/0.25  % Removed by relevancy pruning/SinE    : 0
% 0.06/0.25  % Initial clauses                      : 21
% 0.06/0.25  % Removed in clause preprocessing      : 1
% 0.06/0.25  % Initial clauses in saturation        : 20
% 0.06/0.25  % Processed clauses                    : 45
% 0.06/0.25  % ...of these trivial                  : 0
% 0.06/0.25  % ...subsumed                          : 0
% 0.06/0.25  % ...remaining for further processing  : 45
% 0.06/0.25  % Other redundant clauses eliminated   : 0
% 0.06/0.25  % Clauses deleted for lack of memory   : 0
% 0.06/0.25  % Backward-subsumed                    : 3
% 0.06/0.25  % Backward-rewritten                   : 0
% 0.06/0.25  % Generated clauses                    : 69
% 0.06/0.25  % ...of the previous two non-redundant : 67
% 0.06/0.25  % ...aggressively subsumed             : 0
% 0.06/0.25  % Contextual simplify-reflections      : 4
% 0.06/0.25  % Paramodulations                      : 69
% 0.06/0.25  % Factorizations                       : 0
% 0.06/0.25  % NegExts                              : 0
% 0.06/0.25  % Equation resolutions                 : 0
% 0.06/0.25  % Disequality decompositions           : 0
% 0.06/0.25  % Total rewrite steps                  : 2
% 0.06/0.25  % ...of those cached                   : 1
% 0.06/0.25  % Propositional unsat checks           : 0
% 0.06/0.25  %    Propositional check models        : 0
% 0.06/0.25  %    Propositional check unsatisfiable : 0
% 0.06/0.25  %    Propositional clauses             : 0
% 0.06/0.25  %    Propositional clauses after purity: 0
% 0.06/0.25  %    Propositional unsat core size     : 0
% 0.06/0.25  %    Propositional preprocessing time  : 0.000
% 0.06/0.25  %    Propositional encoding time       : 0.000
% 0.06/0.25  %    Propositional solver time         : 0.000
% 0.06/0.25  %    Success case prop preproc time    : 0.000
% 0.06/0.25  %    Success case prop encoding time   : 0.000
% 0.06/0.25  %    Success case prop solver time     : 0.000
% 0.06/0.25  % Current number of processed clauses  : 42
% 0.06/0.25  %    Positive orientable unit clauses  : 2
% 0.06/0.25  %    Positive unorientable unit clauses: 0
% 0.06/0.25  %    Negative unit clauses             : 2
% 0.06/0.25  %    Non-unit-clauses                  : 38
% 0.06/0.25  % Current number of unprocessed clauses: 42
% 0.06/0.25  % ...number of literals in the above   : 266
% 0.06/0.25  % Current number of archived formulas  : 0
% 0.06/0.25  % Current number of archived clauses   : 3
% 0.06/0.25  % Clause-clause subsumption calls (NU) : 815
% 0.06/0.25  % Rec. Clause-clause subsumption calls : 341
% 0.06/0.25  % Non-unit clause-clause subsumptions  : 6
% 0.06/0.25  % Unit Clause-clause subsumption calls : 44
% 0.06/0.25  % Rewrite failures with RHS unbound    : 0
% 0.06/0.25  % BW rewrite match attempts            : 0
% 0.06/0.25  % BW rewrite match successes           : 0
% 0.06/0.25  % Condensation attempts                : 0
% 0.06/0.25  % Condensation successes               : 0
% 0.06/0.25  % Termbank termtop insertions          : 5282
% 0.06/0.25  % Search garbage collected termcells   : 1028
% 0.06/0.25  
% 0.06/0.25  % -------------------------------------------------
% 0.06/0.25  % User time                : 0.008 s
% 0.06/0.25  % System time              : 0.002 s
% 0.06/0.25  % Total time               : 0.011 s
% 0.06/0.25  % Maximum resident set size: 3648 pages
% 0.06/0.25  
% 0.06/0.25  % -------------------------------------------------
% 0.06/0.25  % User time                : 0.024 s
% 0.06/0.25  % System time              : 0.010 s
% 0.06/0.25  % Total time               : 0.035 s
% 0.06/0.25  % Maximum resident set size: 4608 pages
% 0.06/0.25  % E exiting
%------------------------------------------------------------------------------