%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO515^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 08:43:20 AM UTC 2026
% Result : Theorem 0.47s 0.31s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO515^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n015.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 17:15:33 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.22 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.eot6lFNO93/E---3.1_3829492.p
% 0.47/0.31 % Version: 3.5.1-ho
% 0.47/0.31 % partial match(1): HSSSSMSSSSMCHHA
% 0.47/0.31 % Preprocessing class: HSSSSMSSSLMCHHA.
% 0.47/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.31 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.47/0.31 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.47/0.31 % Starting new_bool_3 with 300s (1) cores
% 0.47/0.31 % Starting new_bool_1 with 300s (1) cores
% 0.47/0.31 % ho_unfolding_3 with pid 3829512 completed with status 0
% 0.47/0.31 % Result found by ho_unfolding_3
% 0.47/0.31 % partial match(1): HSSSSMSSSSMCHHA
% 0.47/0.31 % Preprocessing class: HSSSSMSSSLMCHHA.
% 0.47/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.31 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.47/0.31 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.47/0.31 % No SInE strategy applied
% 0.47/0.31 % Search class: HGHNF-FFSF00-SHHFMFBN
% 0.47/0.31 % partial match(1): HGHNF-FFSF00-SHHFMFNN
% 0.47/0.31 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.47/0.31 % Starting SubtermCWHack with 136s (1) cores
% 0.47/0.31 % Starting ho_unfolding_3 with 151s (1) cores
% 0.47/0.31 % Starting sh5l with 136s (1) cores
% 0.47/0.31 % Starting new_bool_1 with 136s (1) cores
% 0.47/0.31 % Starting new_bool_2 with 136s (1) cores
% 0.47/0.31 % SubtermCWHack with pid 3829520 completed with status 10
% 0.47/0.31 % Starting new_bool_9 with 136s (1) cores
% 0.47/0.31 % sh5l with pid 3829523 completed with status 10
% 0.47/0.31 % Starting new_ho_10 with 669s (1) cores
% 0.47/0.31 % new_ho_10 with pid 3829543 completed with status 10
% 0.47/0.31 % ho_unfolding_3 with pid 3829521 completed with status 0
% 0.47/0.31 % Result found by ho_unfolding_3
% 0.47/0.31 % partial match(1): HSSSSMSSSSMCHHA
% 0.47/0.31 % Preprocessing class: HSSSSMSSSLMCHHA.
% 0.47/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.31 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.47/0.31 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.47/0.31 % No SInE strategy applied
% 0.47/0.31 % Search class: HGHNF-FFSF00-SHHFMFBN
% 0.47/0.31 % partial match(1): HGHNF-FFSF00-SHHFMFNN
% 0.47/0.31 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.47/0.31 % Starting SubtermCWHack with 136s (1) cores
% 0.47/0.31 % Starting ho_unfolding_3 with 151s (1) cores
% 0.47/0.31 % Preprocessing time : 0.001 s
% 0.47/0.31 % Presaturation interreduction done
% 0.47/0.31
% 0.47/0.31 % Proof found!
% 0.47/0.31 % SZS status Theorem
% 0.47/0.31 % SZS output start CNFRefutation
% 0.47/0.31 thf(decl_23, type, t: (($o > $o) > $o) > $o > $o).
% 0.47/0.31 thf(decl_24, type, epred1_0: ($o > $o) > $o).
% 0.47/0.31 thf(decl_25, type, epred2_0: $o > $o).
% 0.47/0.31 thf(decl_26, type, epred3_0: $o > $o).
% 0.47/0.31 thf(decl_27, type, epred4_0: $o > $o).
% 0.47/0.31 thf(decl_28, type, epred5_0: $o > $o).
% 0.47/0.31 thf(decl_29, type, esk6_0: $o).
% 0.47/0.31 thf(decl_30, type, esk7_0: $o).
% 0.47/0.31 thf(decl_32, type, esk9_0: $o).
% 0.47/0.31 thf(decl_34, type, esk11_0: $o).
% 0.47/0.31 thf(decl_55, type, esk32_0: $o).
% 0.47/0.31 thf(decl_88, type, esk65_0: $o).
% 0.47/0.31 thf(decl_120, type, esk97_0: $o).
% 0.47/0.31 thf(decl_147, type, esk124_0: $o).
% 0.47/0.31 thf(choiceoo1, conjecture, ![X1:($o > $o) > $o]:((?[X3:$o > $o]:((X1 @ X3))=>(X1 @ (t @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.eot6lFNO93/E---3.1_3829492.p', choiceoo1)).
% 0.47/0.31 thf(t, axiom, ((t)=(^[X1:($o > $o) > $o, X2:$o]:(((~((X1 @ (^[X2:$o]:(~($true))))))&((((X1 @ (^[X2:$o]:(($true)))))|((((X1 @ (^[X2:$o]:(~((X2))))))<=>(~((X2))))))))))), file('/export/starexec/sandbox2/tmp/tmp.eot6lFNO93/E---3.1_3829492.p', t)).
% 0.47/0.31 thf(c_0_2, negated_conjecture, ~(![X1:($o > $o) > $o]:((?[X3:$o > $o]:((X1 @ X3))=>(X1 @ (t @ X1))))), inference(assume_negation,[status(cth)],[choiceoo1])).
% 0.47/0.31 thf(c_0_3, plain, ((t)=(^[Z0:($o > $o) > $o, Z1:$o]:(((~((Z0 @ (^[Z2:$o]:(~($true))))))&((((Z0 @ (^[Z2:$o]:(($true)))))|((((Z0 @ (^[Z2:$o]:(~((Z2))))))<=>(~((Z1))))))))))), inference(fof_simplification,[status(thm)],[t])).
% 0.47/0.31 thf(c_0_4, negated_conjecture, ~(![X1:($o > $o) > $o]:((?[X3:$o > $o]:((X1 @ X3))=>(X1 @ (^[Z0:$o]:(((~(X1 @ (^[Z1:$o]:(~($true)))))&(((X1 @ (^[Z1:$o]:($true)))|(((X1 @ (^[Z1:$o]:(~(Z1))))<=>(~(Z0))))))))))))), inference(apply_def,[status(thm)],[c_0_2, c_0_3])).
% 0.47/0.31 thf(c_0_5, negated_conjecture, ((epred1_0 @ epred2_0)&~(epred1_0 @ (^[Z0:$o]:(((~(epred1_0 @ (^[Z1:$o]:(~($true)))))&(((epred1_0 @ (^[Z1:$o]:($true)))|(((epred1_0 @ $not)<=>(~(Z0))))))))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])).
% 0.47/0.31 thf(c_0_6, plain, ![X10:$o]:(((epred5_0 @ X10)<=>(~((epred1_0 @ epred3_0))&((epred1_0 @ epred4_0)|((epred1_0 @ $not)<=>~((X10))))))), introduced(definition)).
% 0.47/0.31 thf(c_0_7, plain, ![X9:$o]:(((epred4_0 @ X9)<=>($true))), introduced(definition)).
% 0.47/0.31 thf(c_0_8, plain, ![X8:$o]:(((epred3_0 @ X8)<=>~(($true)))), introduced(definition)).
% 0.47/0.31 thf(c_0_9, negated_conjecture, ~((((epred1_0 @ epred5_0))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_5]), c_0_6]), c_0_7]), c_0_8])).
% 0.47/0.31 thf(c_0_10, plain, ![X13:$o]:((((~(epred1_0 @ epred3_0)|~(epred5_0 @ X13))&((~(epred1_0 @ $not)|~(X13)|(epred1_0 @ epred4_0)|~(epred5_0 @ X13))&((X13)|(epred1_0 @ $not)|(epred1_0 @ epred4_0)|~(epred5_0 @ X13))))&((~(epred1_0 @ epred4_0)|(epred1_0 @ epred3_0)|(epred5_0 @ X13))&((~(epred1_0 @ $not)|(X13)|(epred1_0 @ epred3_0)|(epred5_0 @ X13))&((epred1_0 @ $not)|~(X13)|(epred1_0 @ epred3_0)|(epred5_0 @ X13)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[])])])])])).
% 0.47/0.31 thf(c_0_11, negated_conjecture, ~((epred1_0 @ epred5_0)), inference(cn,[status(thm)],[c_0_9])).
% 0.47/0.31 thf(c_0_12, plain, ((epred1_0 @ $not)|(epred1_0 @ epred3_0)|(epred5_0 @ (($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_10])])])).
% 0.47/0.31 thf(c_0_13, plain, ((epred1_0 @ $not)|(epred5_0 @ (($true)))|((epred3_0)!=(epred5_0))), inference(ext_sup,[status(thm)],[c_0_11, c_0_12])).
% 0.47/0.31 thf(c_0_14, plain, ((epred1_0 @ epred3_0)|(epred5_0 @ (~($true)))|~((epred1_0 @ $not))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_10])])])).
% 0.47/0.31 thf(c_0_15, plain, ((epred5_0 @ (($true)))|(($not)!=(epred5_0))|((epred3_0)!=(epred5_0))), inference(ext_sup,[status(thm)],[c_0_11, c_0_13])).
% 0.47/0.31 thf(c_0_16, plain, ((epred5_0 @ (($true)))|(epred5_0 @ (~($true)))|(epred1_0 @ epred3_0)), inference(spm,[status(thm)],[c_0_14, c_0_12])).
% 0.47/0.31 thf(c_0_17, plain, ((epred5_0 @ (($true)))|(~((esk9_0))<~>(epred5_0 @ ((esk9_0))))|((epred3_0)!=(epred5_0))), inference(neg_ext,[status(thm)],[c_0_15])).
% 0.47/0.31 thf(c_0_18, plain, ((epred5_0 @ (~($true)))|(epred5_0 @ (($true)))|((epred3_0)!=(epred5_0))), inference(ext_sup,[status(thm)],[c_0_11, c_0_16])).
% 0.47/0.31 thf(c_0_19, plain, ((epred5_0 @ (($true)))|((epred3_0)!=(epred5_0))|~((esk9_0))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_17])])).
% 0.47/0.31 thf(c_0_20, plain, ![X11:$o]:(((~(epred3_0 @ X11)|~($true))&(($true)|(epred3_0 @ X11)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])).
% 0.47/0.31 thf(c_0_21, plain, ((epred5_0 @ (($true)))|((epred3_0)!=(epred5_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_17])]), c_0_18]), c_0_19])).
% 0.47/0.31 thf(c_0_22, plain, ![X2:$o]:((~((epred3_0 @ ((X2))))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_20])).
% 0.47/0.31 thf(c_0_23, plain, ((epred5_0 @ (($true)))|((epred3_0 @ ((esk65_0)))<~>(epred5_0 @ ((esk65_0))))), inference(neg_ext,[status(thm)],[c_0_21])).
% 0.47/0.31 thf(c_0_24, plain, ![X2:$o]:(~((epred3_0 @ ((X2))))), inference(cn,[status(thm)],[c_0_22])).
% 0.47/0.31 thf(c_0_25, plain, ((epred1_0 @ epred3_0)|(epred5_0 @ (($true)))|(($not)!=(epred5_0))), inference(ext_sup,[status(thm)],[c_0_11, c_0_12])).
% 0.47/0.31 thf(c_0_26, plain, ![X12:$o]:(((~(epred4_0 @ X12)|($true))&(~($true)|(epred4_0 @ X12)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])).
% 0.47/0.31 thf(c_0_27, plain, ((epred5_0 @ (($true)))|~((esk65_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_23])]), c_0_24])).
% 0.47/0.31 thf(c_0_28, plain, ((epred5_0 @ (($true)))|(epred1_0 @ epred3_0)|(~((esk11_0))<~>(epred5_0 @ ((esk11_0))))), inference(neg_ext,[status(thm)],[c_0_25])).
% 0.47/0.31 thf(c_0_29, plain, ![X2:$o]:(((epred4_0 @ ((X2)))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.47/0.31 thf(c_0_30, plain, ((epred5_0 @ (($true)))|(epred5_0 @ (~($true)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_23])]), c_0_24]), c_0_27])).
% 0.47/0.31 thf(c_0_31, plain, ((epred1_0 @ epred3_0)|(epred5_0 @ (($true)))|~((esk11_0))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_28])])).
% 0.47/0.31 thf(c_0_32, plain, ((epred1_0 @ epred4_0)|~((epred1_0 @ $not))|~((epred5_0 @ (($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_10])])])).
% 0.47/0.31 thf(c_0_33, plain, ![X2:$o]:((epred4_0 @ ((X2)))), inference(cn,[status(thm)],[c_0_29])).
% 0.47/0.31 thf(c_0_34, plain, ![X2:$o]:((~((epred1_0 @ epred3_0))|~((epred5_0 @ ((X2)))))), inference(split_conjunct,[status(thm)],[c_0_10])).
% 0.47/0.31 thf(c_0_35, plain, ((epred1_0 @ epred3_0)|(epred5_0 @ (($true)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_28])]), c_0_30]), c_0_31])).
% 0.47/0.31 thf(c_0_36, plain, ![X2:$o]:(((epred1_0 @ epred3_0)|(epred5_0 @ ((X2)))|~((epred1_0 @ epred4_0)))), inference(split_conjunct,[status(thm)],[c_0_10])).
% 0.47/0.31 thf(c_0_37, plain, ((epred1_0 @ (^[Z0:$o]:(($true))))|~((epred5_0 @ (($true))))|~((epred1_0 @ $not))), inference(rw,[status(thm)],[c_0_32, c_0_33])).
% 0.47/0.31 thf(c_0_38, plain, ![X2:$o]:(((epred5_0 @ (($true)))|~((epred5_0 @ ((X2)))))), inference(spm,[status(thm)],[c_0_34, c_0_35])).
% 0.47/0.31 thf(c_0_39, plain, ![X2:$o]:(((epred5_0 @ ((X2)))|(epred1_0 @ epred3_0)|~((epred1_0 @ (^[Z0:$o]:(($true))))))), inference(rw,[status(thm)],[c_0_36, c_0_33])).
% 0.47/0.31 thf(c_0_40, plain, (((^[Z0:$o]:(($true)))!=(epred5_0))|~((epred5_0 @ (($true))))|~((epred1_0 @ $not))), inference(ext_sup,[status(thm)],[c_0_11, c_0_37])).
% 0.47/0.31 thf(c_0_41, plain, (epred5_0 @ (($true))), inference(spm,[status(thm)],[c_0_38, c_0_30])).
% 0.47/0.31 thf(c_0_42, plain, ![X2:$o]:(((epred5_0 @ ((X2)))|~((epred5_0 @ (($true))))|~((epred1_0 @ $not)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_37]), c_0_34])).
% 0.47/0.31 thf(c_0_43, plain, (((^[Z0:$o]:(($true)))!=(epred5_0))|~((epred1_0 @ $not))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])])).
% 0.47/0.31 thf(c_0_44, plain, ![X2:$o]:(((epred5_0 @ ((X2)))|~((epred1_0 @ $not)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_41])])).
% 0.47/0.31 thf(c_0_45, negated_conjecture, (epred1_0 @ epred2_0), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.47/0.31 thf(c_0_46, plain, ~((epred1_0 @ $not)), inference(csr,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_43]), c_0_44])).
% 0.47/0.31 thf(c_0_47, plain, ![X2:$o]:((((epred2_0)!=(epred3_0))|~((epred5_0 @ ((X2)))))), inference(ext_sup,[status(thm)],[c_0_34, c_0_45])).
% 0.47/0.31 thf(c_0_48, plain, ((epred2_0)!=($not)), inference(ext_sup,[status(thm)],[c_0_46, c_0_45])).
% 0.47/0.31 thf(c_0_49, plain, ![X2:$o]:((((epred2_0 @ ((esk7_0)))<~>(epred3_0 @ ((esk7_0))))|~((epred5_0 @ ((X2)))))), inference(neg_ext,[status(thm)],[c_0_47])).
% 0.47/0.31 thf(c_0_50, plain, ((epred2_0 @ ((esk97_0)))<~>~((esk97_0))), inference(neg_ext,[status(thm)],[c_0_48])).
% 0.47/0.31 thf(c_0_51, plain, ![X2:$o]:(((epred2_0 @ (~($true)))|(esk7_0)|~((epred5_0 @ ((X2)))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_49])]), c_0_24])).
% 0.47/0.31 thf(c_0_52, plain, ((epred2_0)!=(epred5_0)), inference(ext_sup,[status(thm)],[c_0_11, c_0_45])).
% 0.47/0.31 thf(c_0_53, plain, ((esk97_0)|~((epred2_0 @ (~($true))))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_50])])).
% 0.47/0.31 thf(c_0_54, plain, ((epred2_0 @ (~($true)))|(esk7_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_30]), c_0_51])).
% 0.47/0.31 thf(c_0_55, plain, ((epred2_0 @ ((esk6_0)))<~>(epred5_0 @ ((esk6_0)))), inference(neg_ext,[status(thm)],[c_0_52])).
% 0.47/0.31 thf(c_0_56, plain, ![X2:$o]:(((epred2_0 @ (($true)))|~((epred5_0 @ ((X2))))|~((esk7_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_49])]), c_0_24])).
% 0.47/0.31 thf(c_0_57, plain, ((esk7_0)|(esk97_0)), inference(spm,[status(thm)],[c_0_53, c_0_54])).
% 0.47/0.31 thf(c_0_58, plain, ((epred2_0 @ (($true)))|~((esk97_0))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_50])])).
% 0.47/0.31 thf(c_0_59, plain, ((epred1_0 @ $not)|(epred1_0 @ epred4_0)|~((epred5_0 @ (~($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_10])])])).
% 0.47/0.31 thf(c_0_60, plain, (~((epred5_0 @ (($true))))|~((epred2_0 @ (($true))))|~((esk6_0))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_55])])).
% 0.47/0.31 thf(c_0_61, plain, ![X2:$o]:(((epred2_0 @ (($true)))|~((epred5_0 @ ((X2)))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58])).
% 0.47/0.31 thf(c_0_62, plain, ((epred1_0 @ $not)|(epred1_0 @ (^[Z0:$o]:(($true))))|~((epred5_0 @ (~($true))))), inference(rw,[status(thm)],[c_0_59, c_0_33])).
% 0.47/0.31 thf(c_0_63, plain, (~((epred2_0 @ (($true))))|~((esk6_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_41])])).
% 0.47/0.31 thf(c_0_64, plain, (epred2_0 @ (($true))), inference(spm,[status(thm)],[c_0_61, c_0_41])).
% 0.47/0.31 thf(c_0_65, plain, (~((epred5_0 @ (~($true))))|~((epred5_0 @ (($true))))|~((epred2_0 @ (~($true))))|~((epred2_0 @ (($true))))), inference(dynamic_cnf,[status(thm)],[c_0_55])).
% 0.47/0.31 thf(c_0_66, plain, ((epred1_0 @ $not)|((^[Z0:$o]:(($true)))!=(epred5_0))|~((epred5_0 @ (~($true))))), inference(ext_sup,[status(thm)],[c_0_11, c_0_62])).
% 0.47/0.31 thf(c_0_67, plain, ((epred2_0 @ (~($true)))|(epred5_0 @ (~($true)))|(esk6_0)), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_55])])).
% 0.47/0.31 thf(c_0_68, plain, ~((esk6_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_64])])).
% 0.47/0.31 thf(c_0_69, plain, (~((epred5_0 @ (~($true))))|~((epred2_0 @ (~($true))))|~((epred2_0 @ (($true))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65, c_0_41])])).
% 0.47/0.31 thf(c_0_70, plain, ((epred1_0 @ $not)|~((epred5_0 @ ((esk32_0))))|~((epred5_0 @ (~($true))))), inference(neg_ext,[status(thm)],[c_0_66])).
% 0.47/0.31 thf(c_0_71, plain, ((epred5_0 @ (~($true)))|(epred2_0 @ (~($true)))), inference(sr,[status(thm)],[c_0_67, c_0_68])).
% 0.47/0.31 thf(c_0_72, plain, (~((epred5_0 @ (~($true))))|~((epred2_0 @ (~($true))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_64])])).
% 0.47/0.31 thf(c_0_73, plain, ((epred2_0 @ (~($true)))|(esk32_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_70, c_0_71]), c_0_46]), c_0_71])).
% 0.47/0.31 thf(c_0_74, plain, ((esk32_0)|~((epred5_0 @ (~($true))))), inference(spm,[status(thm)],[c_0_72, c_0_73])).
% 0.47/0.31 thf(c_0_75, plain, ![X2:$o]:(((epred1_0 @ epred3_0)|(epred5_0 @ ((X2)))|((^[Z0:$o]:(($true)))!=(epred2_0)))), inference(ext_sup,[status(thm)],[c_0_39, c_0_45])).
% 0.47/0.31 thf(c_0_76, plain, ~((epred5_0 @ (~($true)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_70, c_0_12]), c_0_46]), c_0_74]), c_0_34])).
% 0.47/0.31 thf(c_0_77, plain, ![X2:$o]:(((epred1_0 @ epred3_0)|(epred5_0 @ ((X2)))|~((epred2_0 @ ((esk124_0)))))), inference(neg_ext,[status(thm)],[c_0_75])).
% 0.47/0.31 thf(c_0_78, plain, (epred2_0 @ (~($true))), inference(sr,[status(thm)],[c_0_71, c_0_76])).
% 0.47/0.31 thf(c_0_79, plain, ![X2:$o]:(((epred1_0 @ epred3_0)|(epred5_0 @ ((X2)))|(esk124_0))), inference(ext_sup,[status(thm)],[c_0_77, c_0_78])).
% 0.47/0.31 thf(c_0_80, plain, ![X2:$o, X8:$o]:(((epred5_0 @ ((X2)))|(esk124_0)|~((epred5_0 @ ((X8)))))), inference(spm,[status(thm)],[c_0_34, c_0_79])).
% 0.47/0.31 thf(c_0_81, plain, ![X2:$o]:(((epred5_0 @ ((X2)))|(esk124_0))), inference(spm,[status(thm)],[c_0_80, c_0_41])).
% 0.47/0.31 thf(c_0_82, plain, (esk124_0), inference(spm,[status(thm)],[c_0_76, c_0_81])).
% 0.47/0.31 thf(c_0_83, plain, ![X2:$o]:(((epred1_0 @ epred3_0)|(epred5_0 @ ((X2))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_82]), c_0_64])])).
% 0.47/0.31 thf(c_0_84, plain, (epred1_0 @ epred3_0), inference(spm,[status(thm)],[c_0_76, c_0_83])).
% 0.47/0.31 thf(c_0_85, plain, ![X2:$o]:(~((epred5_0 @ ((X2))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_84])])).
% 0.47/0.31 thf(c_0_86, plain, ($false), inference(sr,[status(thm)],[c_0_41, c_0_85]), ['proof']).
% 0.47/0.31 % SZS output end CNFRefutation
% 0.47/0.31 % Parsed axioms : 3
% 0.47/0.31 % Removed by relevancy pruning/SinE : 0
% 0.47/0.31 % Initial clauses : 13
% 0.47/0.31 % Removed in clause preprocessing : 4
% 0.47/0.31 % Initial clauses in saturation : 9
% 0.47/0.31 % Processed clauses : 752
% 0.47/0.31 % ...of these trivial : 52
% 0.47/0.31 % ...subsumed : 276
% 0.47/0.31 % ...remaining for further processing : 424
% 0.47/0.31 % Other redundant clauses eliminated : 0
% 0.47/0.31 % Clauses deleted for lack of memory : 0
% 0.47/0.31 % Backward-subsumed : 192
% 0.47/0.31 % Backward-rewritten : 118
% 0.47/0.31 % Generated clauses : 2549
% 0.47/0.31 % ...of the previous two non-redundant : 1305
% 0.47/0.31 % ...aggressively subsumed : 0
% 0.47/0.31 % Contextual simplify-reflections : 33
% 0.47/0.31 % Paramodulations : 550
% 0.47/0.31 % Factorizations : 0
% 0.47/0.31 % NegExts : 125
% 0.47/0.31 % Equation resolutions : 0
% 0.47/0.31 % Disequality decompositions : 0
% 0.47/0.31 % Total rewrite steps : 805
% 0.47/0.31 % ...of those cached : 794
% 0.47/0.31 % Propositional unsat checks : 0
% 0.47/0.31 % Propositional check models : 0
% 0.47/0.31 % Propositional check unsatisfiable : 0
% 0.47/0.31 % Propositional clauses : 0
% 0.47/0.31 % Propositional clauses after purity: 0
% 0.47/0.31 % Propositional unsat core size : 0
% 0.47/0.31 % Propositional preprocessing time : 0.000
% 0.47/0.31 % Propositional encoding time : 0.000
% 0.47/0.31 % Propositional solver time : 0.000
% 0.47/0.31 % Success case prop preproc time : 0.000
% 0.47/0.31 % Success case prop encoding time : 0.000
% 0.47/0.31 % Success case prop solver time : 0.000
% 0.47/0.31 % Current number of processed clauses : 40
% 0.47/0.31 % Positive orientable unit clauses : 11
% 0.47/0.31 % Positive unorientable unit clauses: 0
% 0.47/0.31 % Negative unit clauses : 8
% 0.47/0.31 % Non-unit-clauses : 21
% 0.47/0.31 % Current number of unprocessed clauses: 289
% 0.47/0.31 % ...number of literals in the above : 1476
% 0.47/0.31 % Current number of archived formulas : 0
% 0.47/0.31 % Current number of archived clauses : 385
% 0.47/0.31 % Clause-clause subsumption calls (NU) : 4904
% 0.47/0.31 % Rec. Clause-clause subsumption calls : 3030
% 0.47/0.31 % Non-unit clause-clause subsumptions : 313
% 0.47/0.31 % Unit Clause-clause subsumption calls : 358
% 0.47/0.31 % Rewrite failures with RHS unbound : 0
% 0.47/0.31 % BW rewrite match attempts : 11
% 0.47/0.31 % BW rewrite match successes : 11
% 0.47/0.31 % Condensation attempts : 752
% 0.47/0.31 % Condensation successes : 15
% 0.47/0.31 % Termbank termtop insertions : 60111
% 0.47/0.31 % Search garbage collected termcells : 248
% 0.47/0.31
% 0.47/0.31 % -------------------------------------------------
% 0.47/0.31 % User time : 0.102 s
% 0.47/0.31 % System time : 0.010 s
% 0.47/0.31 % Total time : 0.111 s
% 0.47/0.31 % Maximum resident set size: 3632 pages
% 0.47/0.31
% 0.47/0.31 % -------------------------------------------------
% 0.47/0.31 % User time : 0.289 s
% 0.47/0.31 % System time : 0.030 s
% 0.47/0.31 % Total time : 0.318 s
% 0.47/0.31 % Maximum resident set size: 4864 pages
% 0.47/0.31 % E exiting
%------------------------------------------------------------------------------