%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV109^5 : 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 : n018.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 08:34:53 AM UTC 2026
% Result : Theorem 0.25s 0.35s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV109^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n018.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Tue Sep 29 15:13:11 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.30 Running higher-order theorem proving
% 0.25/0.31 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.E0WbY70Xua/E---3.1_203984.p
% 0.25/0.35 % Version: 3.5.1-ho
% 0.25/0.35 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.25/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.35 % Starting post_as_ho1 with 1500s (5) cores
% 0.25/0.35 % Starting post_as_ho12 with 300s (1) cores
% 0.25/0.35 % Starting new_ho_3 with 300s (1) cores
% 0.25/0.35 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.25/0.35 % post_as_ho1 with pid 203997 completed with status 0
% 0.25/0.35 % Result found by post_as_ho1
% 0.25/0.35 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.25/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.35 % Starting post_as_ho1 with 1500s (5) cores
% 0.25/0.35 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.35 % No SInE strategy applied
% 0.25/0.35 % Search class: HGUNF-FFMF11-SSSFFMBN
% 0.25/0.35 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.35 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.35 % Starting post_as_ho1 with 151s (1) cores
% 0.25/0.35 % Starting sh5l with 136s (1) cores
% 0.25/0.35 % Starting new_bool_1 with 136s (1) cores
% 0.25/0.35 % Starting new_bool_2 with 136s (1) cores
% 0.25/0.35 % post_as_ho1 with pid 204002 completed with status 0
% 0.25/0.35 % Result found by post_as_ho1
% 0.25/0.35 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.25/0.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.35 % Starting post_as_ho1 with 1500s (5) cores
% 0.25/0.35 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.35 % No SInE strategy applied
% 0.25/0.35 % Search class: HGUNF-FFMF11-SSSFFMBN
% 0.25/0.35 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.35 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.35 % Starting post_as_ho1 with 151s (1) cores
% 0.25/0.35 % Preprocessing time : 0.002 s
% 0.25/0.35 % Presaturation interreduction done
% 0.25/0.35
% 0.25/0.35 % Proof found!
% 0.25/0.35 % SZS status Theorem
% 0.25/0.35 % SZS output start CNFRefutation
% 0.25/0.35 thf(decl_sort1, type, a: $tType).
% 0.25/0.35 thf(decl_23, type, epred1_3: (a > a > $o) > (a > a > $o) > (a > a > $o) > $o).
% 0.25/0.35 thf(decl_24, type, epred2_0: a > a > $o).
% 0.25/0.35 thf(decl_25, type, epred3_0: a > a > $o).
% 0.25/0.35 thf(decl_26, type, esk1_0: a).
% 0.25/0.35 thf(decl_27, type, esk2_0: a).
% 0.25/0.35 thf(decl_28, type, esk3_1: (a > a > $o) > a).
% 0.25/0.35 thf(decl_29, type, esk4_1: (a > a > $o) > a).
% 0.25/0.35 thf(decl_30, type, esk5_1: (a > a > $o) > a).
% 0.25/0.35 thf(decl_31, type, esk6_1: (a > a > $o) > a).
% 0.25/0.35 thf(decl_32, type, esk7_1: (a > a > $o) > a).
% 0.25/0.35 thf(decl_33, type, epred4_0: a > a > $o).
% 0.25/0.35 thf(decl_34, type, epred5_5: (a > a > $o) > (a > a > $o) > (a > a > $o) > a > a > a > a > $o).
% 0.25/0.35 thf(decl_35, type, epred6_5: (a > a > $o) > (a > a > $o) > (a > a > $o) > a > a > a > a > $o).
% 0.25/0.35 thf(cTHM251F_pme, conjecture, ![X1:a > a > $o, X2:a > a > $o, X3:a, X4:a]:((![X5:a > a > $o]:(((![X6:a, X7:a]:((((X1 @ X6 @ X7)|(X2 @ X6 @ X7))=>(X5 @ X6 @ X7)))&![X8:a, X9:a, X10:a]:((((X5 @ X8 @ X9)&(X5 @ X9 @ X10))=>(X5 @ X8 @ X10))))=>(X5 @ X3 @ X4)))=>![X11:a > a > $o]:(((![X12:a, X13:a]:(((![X14:a > a > $o]:(((![X15:a, X16:a]:(((X1 @ X15 @ X16)=>(X14 @ X15 @ X16)))&![X8:a, X9:a, X10:a]:((((X14 @ X8 @ X9)&(X14 @ X9 @ X10))=>(X14 @ X8 @ X10))))=>(X14 @ X12 @ X13)))|![X17:a > a > $o]:(((![X18:a, X19:a]:(((X2 @ X18 @ X19)=>(X17 @ X18 @ X19)))&![X8:a, X9:a, X10:a]:((((X17 @ X8 @ X9)&(X17 @ X9 @ X10))=>(X17 @ X8 @ X10))))=>(X17 @ X12 @ X13))))=>(X11 @ X12 @ X13)))&![X8:a, X9:a, X10:a]:((((X11 @ X8 @ X9)&(X11 @ X9 @ X10))=>(X11 @ X8 @ X10))))=>(X11 @ X3 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.E0WbY70Xua/E---3.1_203984.p', cTHM251F_pme)).
% 0.25/0.35 thf(c_0_1, plain, ![X1:a > a > $o, X2:a > a > $o, X11:a > a > $o]:(((epred1_3 @ X11 @ X2 @ X1)<=>(![X12:a, X13:a]:(((![X14:a > a > $o]:(((![X15:a, X16:a]:(((X1 @ X15 @ X16)=>(X14 @ X15 @ X16)))&![X8:a, X9:a, X10:a]:((((X14 @ X8 @ X9)&(X14 @ X9 @ X10))=>(X14 @ X8 @ X10))))=>(X14 @ X12 @ X13)))|![X17:a > a > $o]:(((![X18:a, X19:a]:(((X2 @ X18 @ X19)=>(X17 @ X18 @ X19)))&![X8:a, X9:a, X10:a]:((((X17 @ X8 @ X9)&(X17 @ X9 @ X10))=>(X17 @ X8 @ X10))))=>(X17 @ X12 @ X13))))=>(X11 @ X12 @ X13)))&![X8:a, X9:a, X10:a]:((((X11 @ X8 @ X9)&(X11 @ X9 @ X10))=>(X11 @ X8 @ X10)))))), introduced(definition)).
% 0.25/0.35 thf(c_0_2, negated_conjecture, ~(![X1:a > a > $o, X2:a > a > $o, X3:a, X4:a]:((![X5:a > a > $o]:(((![X6:a, X7:a]:((((X1 @ X6 @ X7)|(X2 @ X6 @ X7))=>(X5 @ X6 @ X7)))&![X8:a, X9:a, X10:a]:((((X5 @ X8 @ X9)&(X5 @ X9 @ X10))=>(X5 @ X8 @ X10))))=>(X5 @ X3 @ X4)))=>![X11:a > a > $o]:(((![X12:a, X13:a]:(((![X14:a > a > $o]:(((![X15:a, X16:a]:(((X1 @ X15 @ X16)=>(X14 @ X15 @ X16)))&![X8:a, X9:a, X10:a]:((((X14 @ X8 @ X9)&(X14 @ X9 @ X10))=>(X14 @ X8 @ X10))))=>(X14 @ X12 @ X13)))|![X17:a > a > $o]:(((![X18:a, X19:a]:(((X2 @ X18 @ X19)=>(X17 @ X18 @ X19)))&![X8:a, X9:a, X10:a]:((((X17 @ X8 @ X9)&(X17 @ X9 @ X10))=>(X17 @ X8 @ X10))))=>(X17 @ X12 @ X13))))=>(X11 @ X12 @ X13)))&![X8:a, X9:a, X10:a]:((((X11 @ X8 @ X9)&(X11 @ X9 @ X10))=>(X11 @ X8 @ X10))))=>(X11 @ X3 @ X4)))))), inference(assume_negation,[status(cth)],[cTHM251F_pme])).
% 0.25/0.35 thf(c_0_3, plain, ![X1:a > a > $o, X2:a > a > $o, X11:a > a > $o]:(((epred1_3 @ X11 @ X2 @ X1)=>(![X12:a, X13:a]:(((![X14:a > a > $o]:(((![X15:a, X16:a]:(((X1 @ X15 @ X16)=>(X14 @ X15 @ X16)))&![X8:a, X9:a, X10:a]:((((X14 @ X8 @ X9)&(X14 @ X9 @ X10))=>(X14 @ X8 @ X10))))=>(X14 @ X12 @ X13)))|![X17:a > a > $o]:(((![X18:a, X19:a]:(((X2 @ X18 @ X19)=>(X17 @ X18 @ X19)))&![X8:a, X9:a, X10:a]:((((X17 @ X8 @ X9)&(X17 @ X9 @ X10))=>(X17 @ X8 @ X10))))=>(X17 @ X12 @ X13))))=>(X11 @ X12 @ X13)))&![X8:a, X9:a, X10:a]:((((X11 @ X8 @ X9)&(X11 @ X9 @ X10))=>(X11 @ X8 @ X10)))))), inference(split_equiv,[status(thm)],[c_0_1])).
% 0.25/0.35 thf(c_0_4, negated_conjecture, ~(![X1:a > a > $o, X2:a > a > $o, X3:a, X4:a]:((![X5:a > a > $o]:(((![X6:a, X7:a]:((((X1 @ X6 @ X7)|(X2 @ X6 @ X7))=>(X5 @ X6 @ X7)))&![X8:a, X9:a, X10:a]:((((X5 @ X8 @ X9)&(X5 @ X9 @ X10))=>(X5 @ X8 @ X10))))=>(X5 @ X3 @ X4)))=>![X11:a > a > $o]:(((epred1_3 @ X11 @ X2 @ X1)=>(X11 @ X3 @ X4)))))), inference(apply_def,[status(thm)],[c_0_2, c_0_1])).
% 0.25/0.35 thf(c_0_5, plain, ![X59:a > a > $o, X60:a > a > $o, X61:a > a > $o, X62:a, X63:a, X65:a, X66:a, X67:a, X68:a, X69:a, X71:a, X72:a, X73:a, X74:a, X75:a, X76:a, X77:a, X78:a]:((((((~(X59 @ X65 @ X66)|(epred5_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X65 @ X66)|(X61 @ X62 @ X63)|~(epred1_3 @ X61 @ X60 @ X59))&(~(epred5_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X67 @ X68)|~(epred5_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X68 @ X69)|(epred5_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X67 @ X69)|(X61 @ X62 @ X63)|~(epred1_3 @ X61 @ X60 @ X59)))&(~(epred5_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X62 @ X63)|(X61 @ X62 @ X63)|~(epred1_3 @ X61 @ X60 @ X59)))&(((~(X60 @ X71 @ X72)|(epred6_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X71 @ X72)|(X61 @ X62 @ X63)|~(epred1_3 @ X61 @ X60 @ X59))&(~(epred6_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X73 @ X74)|~(epred6_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X74 @ X75)|(epred6_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X73 @ X75)|(X61 @ X62 @ X63)|~(epred1_3 @ X61 @ X60 @ X59)))&(~(epred6_5 @ X59 @ X60 @ X61 @ X62 @ X63 @ X62 @ X63)|(X61 @ X62 @ X63)|~(epred1_3 @ X61 @ X60 @ X59))))&(~(X61 @ X76 @ X77)|~(X61 @ X77 @ X78)|(X61 @ X76 @ X78)|~(epred1_3 @ X61 @ X60 @ X59)))), 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_3])])])])])])).
% 0.25/0.35 thf(c_0_6, negated_conjecture, ![X52:a > a > $o]:(((((((X52 @ (esk5_1 @ X52) @ (esk6_1 @ X52))|((epred2_0 @ (esk3_1 @ X52) @ (esk4_1 @ X52))|(epred3_0 @ (esk3_1 @ X52) @ (esk4_1 @ X52)))|(X52 @ esk1_0 @ esk2_0))&((X52 @ (esk6_1 @ X52) @ (esk7_1 @ X52))|((epred2_0 @ (esk3_1 @ X52) @ (esk4_1 @ X52))|(epred3_0 @ (esk3_1 @ X52) @ (esk4_1 @ X52)))|(X52 @ esk1_0 @ esk2_0)))&(~(X52 @ (esk5_1 @ X52) @ (esk7_1 @ X52))|((epred2_0 @ (esk3_1 @ X52) @ (esk4_1 @ X52))|(epred3_0 @ (esk3_1 @ X52) @ (esk4_1 @ X52)))|(X52 @ esk1_0 @ esk2_0)))&((((X52 @ (esk5_1 @ X52) @ (esk6_1 @ X52))|~(X52 @ (esk3_1 @ X52) @ (esk4_1 @ X52))|(X52 @ esk1_0 @ esk2_0))&((X52 @ (esk6_1 @ X52) @ (esk7_1 @ X52))|~(X52 @ (esk3_1 @ X52) @ (esk4_1 @ X52))|(X52 @ esk1_0 @ esk2_0)))&(~(X52 @ (esk5_1 @ X52) @ (esk7_1 @ X52))|~(X52 @ (esk3_1 @ X52) @ (esk4_1 @ X52))|(X52 @ esk1_0 @ esk2_0))))&((epred1_3 @ epred4_0 @ epred3_0 @ epred2_0)&~(epred4_0 @ esk1_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_4])])])])])])).
% 0.25/0.35 thf(c_0_7, plain, ![X1:a > a > $o, X2:a > a > $o, X4:a, X3:a, X6:a, X5:a > a > $o]:(((X1 @ X3 @ X6)|~((X1 @ X3 @ X4))|~((X1 @ X4 @ X6))|~((epred1_3 @ X1 @ X2 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.25/0.35 thf(c_0_8, negated_conjecture, (epred1_3 @ epred4_0 @ epred3_0 @ epred2_0), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.25/0.35 thf(c_0_9, negated_conjecture, ![X3:a, X4:a, X6:a]:(((epred4_0 @ X3 @ X4)|~((epred4_0 @ X6 @ X4))|~((epred4_0 @ X3 @ X6)))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 0.25/0.35 thf(c_0_10, negated_conjecture, ![X1:a > a > $o]:(((X1 @ (esk6_1 @ X1) @ (esk7_1 @ X1))|(epred2_0 @ (esk3_1 @ X1) @ (esk4_1 @ X1))|(epred3_0 @ (esk3_1 @ X1) @ (esk4_1 @ X1))|(X1 @ esk1_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.25/0.35 thf(c_0_11, negated_conjecture, ~((epred4_0 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.25/0.35 thf(c_0_12, negated_conjecture, ![X3:a]:(((epred3_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))|(epred2_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))|(epred4_0 @ X3 @ (esk7_1 @ epred4_0))|~((epred4_0 @ X3 @ (esk6_1 @ epred4_0))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])).
% 0.25/0.35 thf(c_0_13, negated_conjecture, ![X1:a > a > $o]:(((X1 @ (esk5_1 @ X1) @ (esk6_1 @ X1))|(epred2_0 @ (esk3_1 @ X1) @ (esk4_1 @ X1))|(epred3_0 @ (esk3_1 @ X1) @ (esk4_1 @ X1))|(X1 @ esk1_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.25/0.35 thf(c_0_14, plain, ![X3:a, X7:a, X6:a, X5:a > a > $o, X4:a, X2:a > a > $o, X1:a > a > $o]:(((epred5_5 @ X1 @ X2 @ X5 @ X6 @ X7 @ X3 @ X4)|(X5 @ X6 @ X7)|~((X1 @ X3 @ X4))|~((epred1_3 @ X5 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.25/0.35 thf(c_0_15, negated_conjecture, ![X1:a > a > $o]:(((epred2_0 @ (esk3_1 @ X1) @ (esk4_1 @ X1))|(epred3_0 @ (esk3_1 @ X1) @ (esk4_1 @ X1))|(X1 @ esk1_0 @ esk2_0)|~((X1 @ (esk5_1 @ X1) @ (esk7_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.25/0.35 thf(c_0_16, negated_conjecture, ((epred4_0 @ (esk5_1 @ epred4_0) @ (esk7_1 @ epred4_0))|(epred2_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))|(epred3_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_11])).
% 0.25/0.35 thf(c_0_17, negated_conjecture, ![X3:a, X4:a, X6:a, X7:a]:(((epred5_5 @ epred2_0 @ epred3_0 @ epred4_0 @ X3 @ X4 @ X6 @ X7)|(epred4_0 @ X3 @ X4)|~((epred2_0 @ X6 @ X7)))), inference(spm,[status(thm)],[c_0_14, c_0_8])).
% 0.25/0.35 thf(c_0_18, negated_conjecture, ((epred3_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))|(epred2_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_11])).
% 0.25/0.35 thf(c_0_19, plain, ![X3:a, X5:a > a > $o, X4:a, X2:a > a > $o, X1:a > a > $o]:(((X5 @ X3 @ X4)|~((epred5_5 @ X1 @ X2 @ X5 @ X3 @ X4 @ X3 @ X4))|~((epred1_3 @ X5 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.25/0.35 thf(c_0_20, negated_conjecture, ![X3:a, X4:a]:(((epred5_5 @ epred2_0 @ epred3_0 @ epred4_0 @ X3 @ X4 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))|(epred3_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))|(epred4_0 @ X3 @ X4))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 0.25/0.35 thf(c_0_21, negated_conjecture, ![X1:a > a > $o]:(((X1 @ (esk6_1 @ X1) @ (esk7_1 @ X1))|(X1 @ esk1_0 @ esk2_0)|~((X1 @ (esk3_1 @ X1) @ (esk4_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.25/0.35 thf(c_0_22, plain, ((epred3_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))|(epred4_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_8])])).
% 0.25/0.35 thf(c_0_23, negated_conjecture, ((epred3_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))|(epred4_0 @ (esk6_1 @ epred4_0) @ (esk7_1 @ epred4_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_11])).
% 0.25/0.35 thf(c_0_24, negated_conjecture, ![X1:a > a > $o]:(((X1 @ (esk5_1 @ X1) @ (esk6_1 @ X1))|(X1 @ esk1_0 @ esk2_0)|~((X1 @ (esk3_1 @ X1) @ (esk4_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.25/0.35 thf(c_0_25, negated_conjecture, ![X3:a]:(((epred3_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))|(epred4_0 @ X3 @ (esk7_1 @ epred4_0))|~((epred4_0 @ X3 @ (esk6_1 @ epred4_0))))), inference(spm,[status(thm)],[c_0_9, c_0_23])).
% 0.25/0.35 thf(c_0_26, negated_conjecture, ((epred3_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))|(epred4_0 @ (esk5_1 @ epred4_0) @ (esk6_1 @ epred4_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_22]), c_0_11])).
% 0.25/0.35 thf(c_0_27, plain, ![X1:a > a > $o, X7:a, X6:a, X5:a > a > $o, X4:a, X3:a, X2:a > a > $o]:(((epred6_5 @ X2 @ X1 @ X5 @ X6 @ X7 @ X3 @ X4)|(X5 @ X6 @ X7)|~((X1 @ X3 @ X4))|~((epred1_3 @ X5 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.25/0.35 thf(c_0_28, negated_conjecture, ![X1:a > a > $o]:(((X1 @ esk1_0 @ esk2_0)|~((X1 @ (esk5_1 @ X1) @ (esk7_1 @ X1)))|~((X1 @ (esk3_1 @ X1) @ (esk4_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.25/0.35 thf(c_0_29, negated_conjecture, ((epred4_0 @ (esk5_1 @ epred4_0) @ (esk7_1 @ epred4_0))|(epred3_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))), inference(spm,[status(thm)],[c_0_25, c_0_26])).
% 0.25/0.35 thf(c_0_30, negated_conjecture, ![X3:a, X4:a, X6:a, X7:a]:(((epred6_5 @ epred2_0 @ epred3_0 @ epred4_0 @ X3 @ X4 @ X6 @ X7)|(epred4_0 @ X3 @ X4)|~((epred3_0 @ X6 @ X7)))), inference(spm,[status(thm)],[c_0_27, c_0_8])).
% 0.25/0.35 thf(c_0_31, negated_conjecture, (epred3_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_11]), c_0_22])).
% 0.25/0.35 thf(c_0_32, plain, ![X3:a, X5:a > a > $o, X4:a, X2:a > a > $o, X1:a > a > $o]:(((X5 @ X3 @ X4)|~((epred6_5 @ X1 @ X2 @ X5 @ X3 @ X4 @ X3 @ X4))|~((epred1_3 @ X5 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.25/0.35 thf(c_0_33, negated_conjecture, ![X3:a, X4:a]:(((epred6_5 @ epred2_0 @ epred3_0 @ epred4_0 @ X3 @ X4 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0))|(epred4_0 @ X3 @ X4))), inference(spm,[status(thm)],[c_0_30, c_0_31])).
% 0.25/0.35 thf(c_0_34, plain, (epred4_0 @ (esk3_1 @ epred4_0) @ (esk4_1 @ epred4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_8])])).
% 0.25/0.35 thf(c_0_35, negated_conjecture, (epred4_0 @ (esk6_1 @ epred4_0) @ (esk7_1 @ epred4_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_34]), c_0_11])).
% 0.25/0.35 thf(c_0_36, negated_conjecture, ![X3:a]:(((epred4_0 @ X3 @ (esk7_1 @ epred4_0))|~((epred4_0 @ X3 @ (esk6_1 @ epred4_0))))), inference(spm,[status(thm)],[c_0_9, c_0_35])).
% 0.25/0.35 thf(c_0_37, negated_conjecture, (epred4_0 @ (esk5_1 @ epred4_0) @ (esk6_1 @ epred4_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_34]), c_0_11])).
% 0.25/0.35 thf(c_0_38, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_36]), c_0_34]), c_0_37])]), c_0_11]), ['proof']).
% 0.25/0.35 % SZS output end CNFRefutation
% 0.25/0.35 % Parsed axioms : 2
% 0.25/0.35 % Removed by relevancy pruning/SinE : 0
% 0.25/0.35 % Initial clauses : 16
% 0.25/0.35 % Removed in clause preprocessing : 1
% 0.25/0.35 % Initial clauses in saturation : 15
% 0.25/0.35 % Processed clauses : 60
% 0.25/0.35 % ...of these trivial : 2
% 0.25/0.35 % ...subsumed : 0
% 0.25/0.35 % ...remaining for further processing : 58
% 0.25/0.35 % Other redundant clauses eliminated : 0
% 0.25/0.35 % Clauses deleted for lack of memory : 0
% 0.25/0.35 % Backward-subsumed : 3
% 0.25/0.35 % Backward-rewritten : 9
% 0.25/0.35 % Generated clauses : 52
% 0.25/0.35 % ...of the previous two non-redundant : 49
% 0.25/0.35 % ...aggressively subsumed : 0
% 0.25/0.35 % Contextual simplify-reflections : 1
% 0.25/0.35 % Paramodulations : 52
% 0.25/0.35 % Factorizations : 0
% 0.25/0.35 % NegExts : 0
% 0.25/0.35 % Equation resolutions : 0
% 0.25/0.35 % Disequality decompositions : 0
% 0.25/0.35 % Total rewrite steps : 21
% 0.25/0.35 % ...of those cached : 16
% 0.25/0.35 % Propositional unsat checks : 0
% 0.25/0.35 % Propositional check models : 0
% 0.25/0.35 % Propositional check unsatisfiable : 0
% 0.25/0.35 % Propositional clauses : 0
% 0.25/0.35 % Propositional clauses after purity: 0
% 0.25/0.35 % Propositional unsat core size : 0
% 0.25/0.35 % Propositional preprocessing time : 0.000
% 0.25/0.35 % Propositional encoding time : 0.000
% 0.25/0.35 % Propositional solver time : 0.000
% 0.25/0.35 % Success case prop preproc time : 0.000
% 0.25/0.35 % Success case prop encoding time : 0.000
% 0.25/0.35 % Success case prop solver time : 0.000
% 0.25/0.35 % Current number of processed clauses : 31
% 0.25/0.35 % Positive orientable unit clauses : 5
% 0.25/0.35 % Positive unorientable unit clauses: 0
% 0.25/0.35 % Negative unit clauses : 1
% 0.25/0.35 % Non-unit-clauses : 25
% 0.25/0.35 % Current number of unprocessed clauses: 14
% 0.25/0.35 % ...number of literals in the above : 72
% 0.25/0.35 % Current number of archived formulas : 0
% 0.25/0.35 % Current number of archived clauses : 27
% 0.25/0.35 % Clause-clause subsumption calls (NU) : 268
% 0.25/0.35 % Rec. Clause-clause subsumption calls : 97
% 0.25/0.35 % Non-unit clause-clause subsumptions : 4
% 0.25/0.35 % Unit Clause-clause subsumption calls : 24
% 0.25/0.35 % Rewrite failures with RHS unbound : 0
% 0.25/0.35 % BW rewrite match attempts : 1
% 0.25/0.35 % BW rewrite match successes : 1
% 0.25/0.35 % Condensation attempts : 0
% 0.25/0.35 % Condensation successes : 0
% 0.25/0.35 % Termbank termtop insertions : 3926
% 0.25/0.35 % Search garbage collected termcells : 758
% 0.25/0.35
% 0.25/0.35 % -------------------------------------------------
% 0.25/0.35 % User time : 0.014 s
% 0.25/0.35 % System time : 0.007 s
% 0.25/0.35 % Total time : 0.022 s
% 0.25/0.35 % Maximum resident set size: 3648 pages
% 0.25/0.35
% 0.25/0.35 % -------------------------------------------------
% 0.25/0.35 % User time : 0.066 s
% 0.25/0.35 % System time : 0.023 s
% 0.25/0.35 % Total time : 0.089 s
% 0.25/0.35 % Maximum resident set size: 4608 pages
% 0.25/0.35 % E exiting
%------------------------------------------------------------------------------