%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV260^5 : 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 : 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 08:35:18 AM UTC 2026
% Result : Theorem 2.33s 0.77s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV260^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.18 % Computer : n015.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Tue Sep 29 15:31:47 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.25 Running higher-order theorem proving
% 0.12/0.27 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.fo51zXRGHW/E---3.1_3661764.p
% 2.33/0.77 % Version: 3.5.1-ho
% 2.33/0.77 % Preprocessing class: HSMSSMSSSSSNHHA.
% 2.33/0.77 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 2.33/0.77 % Starting full_lambda_6 with 900s (3) cores
% 2.33/0.77 % Starting post_as_ho1 with 300s (1) cores
% 2.33/0.77 % Starting lpo6_lambda_fix with 300s (1) cores
% 2.33/0.77 % Starting ho_unfolding_1 with 300s (1) cores
% 2.33/0.77 % Starting new_ho_10_unif with 300s (1) cores
% 2.33/0.77 % Starting ho_unfolding_2 with 300s (1) cores
% 2.33/0.77 % lpo6_lambda_fix with pid 3661779 completed with status 0
% 2.33/0.77 % Result found by lpo6_lambda_fix
% 2.33/0.77 % Preprocessing class: HSMSSMSSSSSNHHA.
% 2.33/0.77 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 2.33/0.77 % Starting full_lambda_6 with 900s (3) cores
% 2.33/0.77 % Starting post_as_ho1 with 300s (1) cores
% 2.33/0.77 % Starting lpo6_lambda_fix with 300s (1) cores
% 2.33/0.77 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 2.33/0.77 % No SInE strategy applied
% 2.33/0.77 % Search class: HGHNF-FFMF33-SHHFFMBN
% 2.33/0.77 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 2.33/0.77 % Starting SubtermCWHack with 31s (1) cores
% 2.33/0.77 % SubtermCWHack with pid 3661787 completed with status 10
% 2.33/0.77 % Starting ehoh_best2_full_lfho with 150s (1) cores
% 2.33/0.77 % ehoh_best2_full_lfho with pid 3661794 completed with status 0
% 2.33/0.77 % Result found by ehoh_best2_full_lfho
% 2.33/0.77 % Preprocessing class: HSMSSMSSSSSNHHA.
% 2.33/0.77 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 2.33/0.77 % Starting full_lambda_6 with 900s (3) cores
% 2.33/0.77 % Starting post_as_ho1 with 300s (1) cores
% 2.33/0.77 % Starting lpo6_lambda_fix with 300s (1) cores
% 2.33/0.77 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 2.33/0.77 % No SInE strategy applied
% 2.33/0.77 % Search class: HGHNF-FFMF33-SHHFFMBN
% 2.33/0.77 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 2.33/0.77 % Starting SubtermCWHack with 31s (1) cores
% 2.33/0.77 % SubtermCWHack with pid 3661787 completed with status 10
% 2.33/0.77 % Starting ehoh_best2_full_lfho with 150s (1) cores
% 2.33/0.77 % Preprocessing time : 0.003 s
% 2.33/0.77
% 2.33/0.77 % Proof found!
% 2.33/0.77 % SZS status Theorem
% 2.33/0.77 % SZS output start CNFRefutation
% 2.33/0.77 thf(decl_sort1, type, a: $tType).
% 2.33/0.77 thf(decl_sort2, type, b: $tType).
% 2.33/0.77 thf(decl_23, type, epred1_3: ((a > $o) > $o) > ((b > $o) > $o) > (a > b) > $o).
% 2.33/0.77 thf(decl_24, type, epred2_0: (a > $o) > $o).
% 2.33/0.77 thf(decl_25, type, epred3_0: (b > $o) > $o).
% 2.33/0.77 thf(decl_26, type, esk1_0: a > b).
% 2.33/0.77 thf(decl_27, type, epred4_0: b > $o).
% 2.33/0.77 thf(decl_28, type, esk2_1: (b > $o) > b).
% 2.33/0.77 thf(decl_29, type, epred5_0: a > $o).
% 2.33/0.77 thf(decl_30, type, epred6_0: a > $o).
% 2.33/0.77 thf(decl_31, type, esk3_4: (a > b) > ((b > $o) > $o) > ((a > $o) > $o) > (a > $o) > a).
% 2.33/0.77 thf(decl_32, type, esk4_4: (a > b) > ((b > $o) > $o) > ((a > $o) > $o) > (a > $o) > a).
% 2.33/0.77 thf(decl_33, type, epred7_5: (a > b) > ((b > $o) > $o) > ((a > $o) > $o) > ((a > $o) > $o) > (a > $o) > a > $o).
% 2.33/0.77 thf(decl_34, type, esk5_5: (a > b) > ((b > $o) > $o) > ((a > $o) > $o) > ((a > $o) > $o) > (a > $o) > a).
% 2.33/0.77 thf(decl_35, type, epred8_5: (a > b) > ((b > $o) > $o) > ((a > $o) > $o) > ((a > $o) > $o) > (a > $o) > a > $o).
% 2.33/0.77 thf(decl_36, type, esk6_6: (a > b) > ((b > $o) > $o) > ((a > $o) > $o) > (a > $o) > (a > $o) > (a > $o) > a).
% 2.33/0.77 thf(decl_37, type, esk7_4: (a > b) > ((b > $o) > $o) > ((a > $o) > $o) > (b > $o) > b).
% 2.33/0.77 thf(decl_38, type, esk8_4: (a > b) > ((b > $o) > $o) > ((a > $o) > $o) > (b > $o) > b).
% 2.33/0.77 thf(decl_39, type, epred9_5: (a > b) > ((b > $o) > $o) > ((a > $o) > $o) > ((b > $o) > $o) > (b > $o) > b > $o).
% 2.33/0.77 thf(decl_40, type, esk9_5: (a > b) > ((b > $o) > $o) > ((a > $o) > $o) > ((b > $o) > $o) > (b > $o) > b).
% 2.33/0.77 thf(decl_41, type, epred10_5: (a > b) > ((b > $o) > $o) > ((a > $o) > $o) > ((b > $o) > $o) > (b > $o) > b > $o).
% 2.33/0.77 thf(decl_42, type, esk10_6: (a > b) > ((b > $o) > $o) > ((a > $o) > $o) > (b > $o) > (b > $o) > (b > $o) > b).
% 2.33/0.77 thf(decl_43, type, esk11_5: (a > b) > ((b > $o) > $o) > ((a > $o) > $o) > (b > $o) > (a > $o) > a).
% 2.33/0.77 thf(cCLOSED_THM1_pme, conjecture, ![X1:(a > $o) > $o, X2:(b > $o) > $o, X3:a > b]:((((((((((![X4:a > $o]:((((X4)=(^[X5:a]:(~($true))))=>(X1 @ X4)))&![X4:a > $o]:((((X4)=(^[X5:a]:(~(~($true)))))=>(X1 @ X4))))&![X6:(a > $o) > $o, X4:a > $o]:(((![X7:a > $o]:(((X6 @ X7)=>(X1 @ X7)))&((X4)=(^[X5:a]:(?[X8:a > $o]:((((X6 @ X8))&((X8 @ X5))))))))=>(X1 @ X4))))&![X9:a > $o, X10:a > $o, X8:a > $o]:(((((X1 @ X9)&(X1 @ X10))&((X8)=(^[X5:a]:((((X9 @ X5))&((X10 @ X5)))))))=>(X1 @ X8))))&![X11:b > $o]:((((X11)=(^[X12:b]:(~($true))))=>(X2 @ X11))))&![X13:b > $o]:((((X13)=(^[X14:b]:(~(~($true)))))=>(X2 @ X13))))&![X15:(b > $o) > $o, X16:b > $o]:(((![X17:b > $o]:(((X15 @ X17)=>(X2 @ X17)))&((X16)=(^[X18:b]:(?[X19:b > $o]:((((X15 @ X19))&((X19 @ X18))))))))=>(X2 @ X16))))&![X20:b > $o, X21:b > $o, X22:b > $o]:(((((X2 @ X20)&(X2 @ X21))&((X22)=(^[X23:b]:((((X20 @ X23))&((X21 @ X23)))))))=>(X2 @ X22))))&![X24:b > $o]:(((X2 @ X24)=>![X9:a > $o]:((((X9)=(^[X25:a]:((X24 @ (X3 @ X25)))))=>(X1 @ X9))))))=>![X24:b > $o]:((![X26:b > $o]:((((X26)=(^[X27:b]:(~((X24 @ X27)))))=>(X2 @ X26)))=>![X9:a > $o]:((((X9)=(^[X25:a]:((X24 @ (X3 @ X25)))))=>![X4:a > $o]:((((X4)=(^[X5:a]:(~((X9 @ X5)))))=>(X1 @ X4))))))))), file('/export/starexec/sandbox2/tmp/tmp.fo51zXRGHW/E---3.1_3661764.p', cCLOSED_THM1_pme)).
% 2.33/0.77 thf(c_0_1, plain, ![X3:a > b, X2:(b > $o) > $o, X1:(a > $o) > $o]:(((epred1_3 @ X1 @ X2 @ X3)<=>((((((((![X4:a > $o]:((![X53:a]:(((X4 @ X53)<=>~($true)))=>(X1 @ X4)))&![X4:a > $o]:((![X54:a]:(((X4 @ X54)<=>~(~($true))))=>(X1 @ X4))))&![X6:(a > $o) > $o, X4:a > $o]:(((![X7:a > $o]:(((X6 @ X7)=>(X1 @ X7)))&![X55:a]:(((X4 @ X55)<=>?[X8:a > $o]:(((X6 @ X8)&(X8 @ X55))))))=>(X1 @ X4))))&![X9:a > $o, X10:a > $o, X8:a > $o]:(((((X1 @ X9)&(X1 @ X10))&![X56:a]:(((X8 @ X56)<=>((X9 @ X56)&(X10 @ X56)))))=>(X1 @ X8))))&![X11:b > $o]:((![X57:b]:(((X11 @ X57)<=>~($true)))=>(X2 @ X11))))&![X13:b > $o]:((![X58:b]:(((X13 @ X58)<=>~(~($true))))=>(X2 @ X13))))&![X15:(b > $o) > $o, X16:b > $o]:(((![X17:b > $o]:(((X15 @ X17)=>(X2 @ X17)))&![X59:b]:(((X16 @ X59)<=>?[X19:b > $o]:(((X15 @ X19)&(X19 @ X59))))))=>(X2 @ X16))))&![X20:b > $o, X21:b > $o, X22:b > $o]:(((((X2 @ X20)&(X2 @ X21))&![X60:b]:(((X22 @ X60)<=>((X20 @ X60)&(X21 @ X60)))))=>(X2 @ X22))))&![X24:b > $o]:(((X2 @ X24)=>![X9:a > $o]:((![X61:a]:(((X9 @ X61)<=>(X24 @ (X3 @ X61))))=>(X1 @ X9)))))))), introduced(definition)).
% 2.33/0.77 thf(c_0_2, negated_conjecture, ~(![X1:(a > $o) > $o, X2:(b > $o) > $o, X3:a > b]:((((((((((![X4:a > $o]:((((X4)=(^[X5:a]:(~($true))))=>(X1 @ X4)))&![X4:a > $o]:((((X4)=(^[X5:a]:(~(~($true)))))=>(X1 @ X4))))&![X6:(a > $o) > $o, X4:a > $o]:(((![X7:a > $o]:(((X6 @ X7)=>(X1 @ X7)))&((X4)=(^[X5:a]:(?[X8:a > $o]:((((X6 @ X8))&((X8 @ X5))))))))=>(X1 @ X4))))&![X9:a > $o, X10:a > $o, X8:a > $o]:(((((X1 @ X9)&(X1 @ X10))&((X8)=(^[X5:a]:((((X9 @ X5))&((X10 @ X5)))))))=>(X1 @ X8))))&![X11:b > $o]:((((X11)=(^[X12:b]:(~($true))))=>(X2 @ X11))))&![X13:b > $o]:((((X13)=(^[X14:b]:(~(~($true)))))=>(X2 @ X13))))&![X15:(b > $o) > $o, X16:b > $o]:(((![X17:b > $o]:(((X15 @ X17)=>(X2 @ X17)))&((X16)=(^[X18:b]:(?[X19:b > $o]:((((X15 @ X19))&((X19 @ X18))))))))=>(X2 @ X16))))&![X20:b > $o, X21:b > $o, X22:b > $o]:(((((X2 @ X20)&(X2 @ X21))&((X22)=(^[X23:b]:((((X20 @ X23))&((X21 @ X23)))))))=>(X2 @ X22))))&![X24:b > $o]:(((X2 @ X24)=>![X9:a > $o]:((((X9)=(^[X25:a]:((X24 @ (X3 @ X25)))))=>(X1 @ X9))))))=>![X24:b > $o]:((![X26:b > $o]:((((X26)=(^[X27:b]:(~((X24 @ X27)))))=>(X2 @ X26)))=>![X9:a > $o]:((((X9)=(^[X25:a]:((X24 @ (X3 @ X25)))))=>![X4:a > $o]:((((X4)=(^[X5:a]:(~((X9 @ X5)))))=>(X1 @ X4)))))))))), inference(assume_negation,[status(cth)],[cCLOSED_THM1_pme])).
% 2.33/0.77 thf(c_0_3, plain, ![X3:a > b, X2:(b > $o) > $o, X1:(a > $o) > $o]:(((epred1_3 @ X1 @ X2 @ X3)=>((((((((![X4:a > $o]:((![X53:a]:(((X4 @ X53)<=>~($true)))=>(X1 @ X4)))&![X4:a > $o]:((![X54:a]:(((X4 @ X54)<=>~(~($true))))=>(X1 @ X4))))&![X6:(a > $o) > $o, X4:a > $o]:(((![X7:a > $o]:(((X6 @ X7)=>(X1 @ X7)))&![X55:a]:(((X4 @ X55)<=>?[X8:a > $o]:(((X6 @ X8)&(X8 @ X55))))))=>(X1 @ X4))))&![X9:a > $o, X10:a > $o, X8:a > $o]:(((((X1 @ X9)&(X1 @ X10))&![X56:a]:(((X8 @ X56)<=>((X9 @ X56)&(X10 @ X56)))))=>(X1 @ X8))))&![X11:b > $o]:((![X57:b]:(((X11 @ X57)<=>~($true)))=>(X2 @ X11))))&![X13:b > $o]:((![X58:b]:(((X13 @ X58)<=>~(~($true))))=>(X2 @ X13))))&![X15:(b > $o) > $o, X16:b > $o]:(((![X17:b > $o]:(((X15 @ X17)=>(X2 @ X17)))&![X59:b]:(((X16 @ X59)<=>?[X19:b > $o]:(((X15 @ X19)&(X19 @ X59))))))=>(X2 @ X16))))&![X20:b > $o, X21:b > $o, X22:b > $o]:(((((X2 @ X20)&(X2 @ X21))&![X60:b]:(((X22 @ X60)<=>((X20 @ X60)&(X21 @ X60)))))=>(X2 @ X22))))&![X24:b > $o]:(((X2 @ X24)=>![X9:a > $o]:((![X61:a]:(((X9 @ X61)<=>(X24 @ (X3 @ X61))))=>(X1 @ X9)))))))), inference(split_equiv,[status(thm)],[c_0_1])).
% 2.33/0.77 thf(c_0_4, negated_conjecture, ~(![X1:(a > $o) > $o, X2:(b > $o) > $o, X3:a > b]:(((epred1_3 @ X1 @ X2 @ X3)=>![X24:b > $o]:((![X26:b > $o]:((![X62:b]:(((X26 @ X62)<=>~((X24 @ X62))))=>(X2 @ X26)))=>![X9:a > $o]:((![X63:a]:(((X9 @ X63)<=>(X24 @ (X3 @ X63))))=>![X4:a > $o]:((![X64:a]:(((X4 @ X64)<=>~((X9 @ X64))))=>(X1 @ X4)))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])]), c_0_1])).
% 2.33/0.77 thf(c_0_5, plain, ![X75:a > b, X76:(b > $o) > $o, X77:(a > $o) > $o, X78:a > $o, X80:a > $o, X82:(a > $o) > $o, X83:a > $o, X86:a > $o, X88:a > $o, X89:a > $o, X90:a > $o, X92:b > $o, X94:b > $o, X96:(b > $o) > $o, X97:b > $o, X100:b > $o, X102:b > $o, X103:b > $o, X104:b > $o, X106:b > $o, X107:a > $o]:(((((((((((~(X78 @ (esk3_4 @ X75 @ X76 @ X77 @ X78))|($true)|(X77 @ X78)|~(epred1_3 @ X77 @ X76 @ X75))&((X78 @ (esk3_4 @ X75 @ X76 @ X77 @ X78))|~($true)|(X77 @ X78)|~(epred1_3 @ X77 @ X76 @ X75)))&((~(X80 @ (esk4_4 @ X75 @ X76 @ X77 @ X80))|~($true)|(X77 @ X80)|~(epred1_3 @ X77 @ X76 @ X75))&((X80 @ (esk4_4 @ X75 @ X76 @ X77 @ X80))|($true)|(X77 @ X80)|~(epred1_3 @ X77 @ X76 @ X75))))&(((~(X83 @ (esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83))|(~(X82 @ X86)|~(X86 @ (esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83)))|(X82 @ (epred7_5 @ X75 @ X76 @ X77 @ X82 @ X83))|(X77 @ X83)|~(epred1_3 @ X77 @ X76 @ X75))&(((X82 @ (epred8_5 @ X75 @ X76 @ X77 @ X82 @ X83))|(X83 @ (esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83))|(X82 @ (epred7_5 @ X75 @ X76 @ X77 @ X82 @ X83))|(X77 @ X83)|~(epred1_3 @ X77 @ X76 @ X75))&((epred8_5 @ X75 @ X76 @ X77 @ X82 @ X83 @ (esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83))|(X83 @ (esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83))|(X82 @ (epred7_5 @ X75 @ X76 @ X77 @ X82 @ X83))|(X77 @ X83)|~(epred1_3 @ X77 @ X76 @ X75))))&((~(X83 @ (esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83))|(~(X82 @ X86)|~(X86 @ (esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83)))|~(X77 @ (epred7_5 @ X75 @ X76 @ X77 @ X82 @ X83))|(X77 @ X83)|~(epred1_3 @ X77 @ X76 @ X75))&(((X82 @ (epred8_5 @ X75 @ X76 @ X77 @ X82 @ X83))|(X83 @ (esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83))|~(X77 @ (epred7_5 @ X75 @ X76 @ X77 @ X82 @ X83))|(X77 @ X83)|~(epred1_3 @ X77 @ X76 @ X75))&((epred8_5 @ X75 @ X76 @ X77 @ X82 @ X83 @ (esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83))|(X83 @ (esk5_5 @ X75 @ X76 @ X77 @ X82 @ X83))|~(X77 @ (epred7_5 @ X75 @ X76 @ X77 @ X82 @ X83))|(X77 @ X83)|~(epred1_3 @ X77 @ X76 @ X75))))))&((~(X90 @ (esk6_6 @ X75 @ X76 @ X77 @ X88 @ X89 @ X90))|(~(X88 @ (esk6_6 @ X75 @ X76 @ X77 @ X88 @ X89 @ X90))|~(X89 @ (esk6_6 @ X75 @ X76 @ X77 @ X88 @ X89 @ X90)))|(~(X77 @ X88)|~(X77 @ X89))|(X77 @ X90)|~(epred1_3 @ X77 @ X76 @ X75))&(((X88 @ (esk6_6 @ X75 @ X76 @ X77 @ X88 @ X89 @ X90))|(X90 @ (esk6_6 @ X75 @ X76 @ X77 @ X88 @ X89 @ X90))|(~(X77 @ X88)|~(X77 @ X89))|(X77 @ X90)|~(epred1_3 @ X77 @ X76 @ X75))&((X89 @ (esk6_6 @ X75 @ X76 @ X77 @ X88 @ X89 @ X90))|(X90 @ (esk6_6 @ X75 @ X76 @ X77 @ X88 @ X89 @ X90))|(~(X77 @ X88)|~(X77 @ X89))|(X77 @ X90)|~(epred1_3 @ X77 @ X76 @ X75)))))&((~(X92 @ (esk7_4 @ X75 @ X76 @ X77 @ X92))|($true)|(X76 @ X92)|~(epred1_3 @ X77 @ X76 @ X75))&((X92 @ (esk7_4 @ X75 @ X76 @ X77 @ X92))|~($true)|(X76 @ X92)|~(epred1_3 @ X77 @ X76 @ X75))))&((~(X94 @ (esk8_4 @ X75 @ X76 @ X77 @ X94))|~($true)|(X76 @ X94)|~(epred1_3 @ X77 @ X76 @ X75))&((X94 @ (esk8_4 @ X75 @ X76 @ X77 @ X94))|($true)|(X76 @ X94)|~(epred1_3 @ X77 @ X76 @ X75))))&(((~(X97 @ (esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97))|(~(X96 @ X100)|~(X100 @ (esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97)))|(X96 @ (epred9_5 @ X75 @ X76 @ X77 @ X96 @ X97))|(X76 @ X97)|~(epred1_3 @ X77 @ X76 @ X75))&(((X96 @ (epred10_5 @ X75 @ X76 @ X77 @ X96 @ X97))|(X97 @ (esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97))|(X96 @ (epred9_5 @ X75 @ X76 @ X77 @ X96 @ X97))|(X76 @ X97)|~(epred1_3 @ X77 @ X76 @ X75))&((epred10_5 @ X75 @ X76 @ X77 @ X96 @ X97 @ (esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97))|(X97 @ (esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97))|(X96 @ (epred9_5 @ X75 @ X76 @ X77 @ X96 @ X97))|(X76 @ X97)|~(epred1_3 @ X77 @ X76 @ X75))))&((~(X97 @ (esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97))|(~(X96 @ X100)|~(X100 @ (esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97)))|~(X76 @ (epred9_5 @ X75 @ X76 @ X77 @ X96 @ X97))|(X76 @ X97)|~(epred1_3 @ X77 @ X76 @ X75))&(((X96 @ (epred10_5 @ X75 @ X76 @ X77 @ X96 @ X97))|(X97 @ (esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97))|~(X76 @ (epred9_5 @ X75 @ X76 @ X77 @ X96 @ X97))|(X76 @ X97)|~(epred1_3 @ X77 @ X76 @ X75))&((epred10_5 @ X75 @ X76 @ X77 @ X96 @ X97 @ (esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97))|(X97 @ (esk9_5 @ X75 @ X76 @ X77 @ X96 @ X97))|~(X76 @ (epred9_5 @ X75 @ X76 @ X77 @ X96 @ X97))|(X76 @ X97)|~(epred1_3 @ X77 @ X76 @ X75))))))&((~(X104 @ (esk10_6 @ X75 @ X76 @ X77 @ X102 @ X103 @ X104))|(~(X102 @ (esk10_6 @ X75 @ X76 @ X77 @ X102 @ X103 @ X104))|~(X103 @ (esk10_6 @ X75 @ X76 @ X77 @ X102 @ X103 @ X104)))|(~(X76 @ X102)|~(X76 @ X103))|(X76 @ X104)|~(epred1_3 @ X77 @ X76 @ X75))&(((X102 @ (esk10_6 @ X75 @ X76 @ X77 @ X102 @ X103 @ X104))|(X104 @ (esk10_6 @ X75 @ X76 @ X77 @ X102 @ X103 @ X104))|(~(X76 @ X102)|~(X76 @ X103))|(X76 @ X104)|~(epred1_3 @ X77 @ X76 @ X75))&((X103 @ (esk10_6 @ X75 @ X76 @ X77 @ X102 @ X103 @ X104))|(X104 @ (esk10_6 @ X75 @ X76 @ X77 @ X102 @ X103 @ X104))|(~(X76 @ X102)|~(X76 @ X103))|(X76 @ X104)|~(epred1_3 @ X77 @ X76 @ X75)))))&((~(X107 @ (esk11_5 @ X75 @ X76 @ X77 @ X106 @ X107))|~(X106 @ (X75 @ (esk11_5 @ X75 @ X76 @ X77 @ X106 @ X107)))|(X77 @ X107)|~(X76 @ X106)|~(epred1_3 @ X77 @ X76 @ X75))&((X107 @ (esk11_5 @ X75 @ X76 @ X77 @ X106 @ X107))|(X106 @ (X75 @ (esk11_5 @ X75 @ X76 @ X77 @ X106 @ X107)))|(X77 @ X107)|~(X76 @ X106)|~(epred1_3 @ X77 @ X76 @ X75))))), 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])])])])])])).
% 2.33/0.77 thf(c_0_6, negated_conjecture, ![X69:b > $o, X72:a, X74:a]:(((epred1_3 @ epred2_0 @ epred3_0 @ esk1_0)&(((~(X69 @ (esk2_1 @ X69))|(epred4_0 @ (esk2_1 @ X69))|(epred3_0 @ X69))&((X69 @ (esk2_1 @ X69))|~(epred4_0 @ (esk2_1 @ X69))|(epred3_0 @ X69)))&(((~(epred5_0 @ X72)|(epred4_0 @ (esk1_0 @ X72)))&(~(epred4_0 @ (esk1_0 @ X72))|(epred5_0 @ X72)))&(((~(epred6_0 @ X74)|~(epred5_0 @ X74))&((epred5_0 @ X74)|(epred6_0 @ X74)))&~(epred2_0 @ epred6_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])])])])])])).
% 2.33/0.77 thf(c_0_7, plain, ![X4:a > $o, X11:b > $o, X1:(a > $o) > $o, X2:(b > $o) > $o, X3:a > b]:(((X1 @ X4)|~((X4 @ (esk11_5 @ X3 @ X2 @ X1 @ X11 @ X4)))|~((X11 @ (X3 @ (esk11_5 @ X3 @ X2 @ X1 @ X11 @ X4))))|~((X2 @ X11))|~((epred1_3 @ X1 @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 2.33/0.77 thf(c_0_8, negated_conjecture, (epred1_3 @ epred2_0 @ epred3_0 @ esk1_0), inference(split_conjunct,[status(thm)],[c_0_6])).
% 2.33/0.77 thf(c_0_9, negated_conjecture, ![X11:b > $o]:(((epred4_0 @ (esk2_1 @ X11))|(epred3_0 @ X11)|~((X11 @ (esk2_1 @ X11))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 2.33/0.77 thf(c_0_10, negated_conjecture, ![X4:a > $o, X11:b > $o]:(((epred2_0 @ X4)|~((X11 @ (esk1_0 @ (esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ X11 @ X4))))|~((X4 @ (esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ X11 @ X4)))|~((epred3_0 @ X11)))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 2.33/0.77 thf(c_0_11, negated_conjecture, ![X11:b > $o]:(((epred4_0 @ (esk2_1 @ (^[Z0:b]:(~((X11 @ Z0))))))|(X11 @ (esk2_1 @ (^[Z0:b]:(~((X11 @ Z0))))))|(epred3_0 @ (^[Z0:b]:(~((X11 @ Z0))))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_9])).
% 2.33/0.77 thf(c_0_12, plain, ![X4:a > $o, X11:b > $o, X1:(a > $o) > $o, X2:(b > $o) > $o, X3:a > b]:(((X4 @ (esk11_5 @ X3 @ X2 @ X1 @ X11 @ X4))|(X11 @ (X3 @ (esk11_5 @ X3 @ X2 @ X1 @ X11 @ X4)))|(X1 @ X4)|~((X2 @ X11))|~((epred1_3 @ X1 @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 2.33/0.77 thf(c_0_13, negated_conjecture, ![X4:a > $o, X11:b > $o]:(((X11 @ (esk1_0 @ (esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ (^[Z0:b]:(~((X11 @ Z0)))) @ X4)))|(epred2_0 @ X4)|~((X4 @ (esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ (^[Z0:b]:(~((X11 @ Z0)))) @ X4)))|~((epred3_0 @ (^[Z0:b]:(~((X11 @ Z0)))))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_10])).
% 2.33/0.77 thf(c_0_14, negated_conjecture, ![X5:a]:(((epred5_0 @ X5)|(epred6_0 @ X5))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 2.33/0.77 thf(c_0_15, negated_conjecture, ~((epred2_0 @ epred6_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 2.33/0.77 thf(c_0_16, negated_conjecture, ![X11:b > $o]:(((X11 @ (esk2_1 @ X11))|(epred3_0 @ X11)|~((epred4_0 @ (esk2_1 @ X11))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 2.33/0.77 thf(c_0_17, negated_conjecture, ((epred4_0 @ (esk2_1 @ (^[Z0:b]:(~((epred4_0 @ Z0))))))|(epred3_0 @ (^[Z0:b]:(~((epred4_0 @ Z0)))))), inference(ef,[status(thm)],[c_0_11])).
% 2.33/0.77 thf(c_0_18, negated_conjecture, ![X4:a > $o, X11:b > $o]:(((X11 @ (esk1_0 @ (esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ X11 @ X4)))|(X4 @ (esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ X11 @ X4))|(epred2_0 @ X4)|~((epred3_0 @ X11)))), inference(spm,[status(thm)],[c_0_12, c_0_8])).
% 2.33/0.77 thf(c_0_19, negated_conjecture, ![X11:b > $o]:(((X11 @ (esk1_0 @ (esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ (^[Z0:b]:(~((X11 @ Z0)))) @ epred6_0)))|(epred5_0 @ (esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ (^[Z0:b]:(~((X11 @ Z0)))) @ epred6_0))|~((epred3_0 @ (^[Z0:b]:(~((X11 @ Z0)))))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])).
% 2.33/0.77 thf(c_0_20, negated_conjecture, (epred3_0 @ (^[Z0:b]:(~((epred4_0 @ Z0))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17])])])).
% 2.33/0.77 thf(c_0_21, negated_conjecture, ![X5:a]:(((epred4_0 @ (esk1_0 @ X5))|~((epred5_0 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 2.33/0.77 thf(c_0_22, negated_conjecture, ![X4:a > $o, X11:b > $o]:(((X4 @ (esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ (^[Z0:b]:(~((X11 @ Z0)))) @ X4))|(epred2_0 @ X4)|~((X11 @ (esk1_0 @ (esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ (^[Z0:b]:(~((X11 @ Z0)))) @ X4))))|~((epred3_0 @ (^[Z0:b]:(~((X11 @ Z0)))))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_18])).
% 2.33/0.77 thf(c_0_23, negated_conjecture, (epred4_0 @ (esk1_0 @ (esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ (^[Z0:b]:(~((epred4_0 @ Z0)))) @ epred6_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_21])).
% 2.33/0.77 thf(c_0_24, negated_conjecture, ![X5:a]:(((epred5_0 @ X5)|~((epred4_0 @ (esk1_0 @ X5))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 2.33/0.77 thf(c_0_25, negated_conjecture, ![X5:a]:((~((epred6_0 @ X5))|~((epred5_0 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 2.33/0.77 thf(c_0_26, negated_conjecture, (epred6_0 @ (esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ (^[Z0:b]:(~((epred4_0 @ Z0)))) @ epred6_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_20])]), c_0_15])).
% 2.33/0.77 thf(c_0_27, negated_conjecture, (epred5_0 @ (esk11_5 @ esk1_0 @ epred3_0 @ epred2_0 @ (^[Z0:b]:(~((epred4_0 @ Z0)))) @ epred6_0)), inference(spm,[status(thm)],[c_0_24, c_0_23])).
% 2.33/0.77 thf(c_0_28, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27])]), ['proof']).
% 2.33/0.77 % SZS output end CNFRefutation
% 2.33/0.77 % Parsed axioms : 3
% 2.33/0.77 % Removed by relevancy pruning/SinE : 0
% 2.33/0.77 % Initial clauses : 38
% 2.33/0.77 % Removed in clause preprocessing : 6
% 2.33/0.77 % Initial clauses in saturation : 32
% 2.33/0.77 % Processed clauses : 695
% 2.33/0.77 % ...of these trivial : 4
% 2.33/0.77 % ...subsumed : 210
% 2.33/0.77 % ...remaining for further processing : 481
% 2.33/0.77 % Other redundant clauses eliminated : 54
% 2.33/0.77 % Clauses deleted for lack of memory : 0
% 2.33/0.77 % Backward-subsumed : 6
% 2.33/0.77 % Backward-rewritten : 3
% 2.33/0.77 % Generated clauses : 2361
% 2.33/0.77 % ...of the previous two non-redundant : 1867
% 2.33/0.77 % ...aggressively subsumed : 0
% 2.33/0.77 % Contextual simplify-reflections : 18
% 2.33/0.77 % Paramodulations : 313
% 2.33/0.77 % Factorizations : 10
% 2.33/0.77 % NegExts : 24
% 2.33/0.77 % Equation resolutions : 59
% 2.33/0.77 % Disequality decompositions : 0
% 2.33/0.77 % Total rewrite steps : 91
% 2.33/0.77 % ...of those cached : 83
% 2.33/0.77 % Propositional unsat checks : 0
% 2.33/0.77 % Propositional check models : 0
% 2.33/0.77 % Propositional check unsatisfiable : 0
% 2.33/0.77 % Propositional clauses : 0
% 2.33/0.77 % Propositional clauses after purity: 0
% 2.33/0.77 % Propositional unsat core size : 0
% 2.33/0.77 % Propositional preprocessing time : 0.000
% 2.33/0.77 % Propositional encoding time : 0.000
% 2.33/0.77 % Propositional solver time : 0.000
% 2.33/0.77 % Success case prop preproc time : 0.000
% 2.33/0.77 % Success case prop encoding time : 0.000
% 2.33/0.77 % Success case prop solver time : 0.000
% 2.33/0.77 % Current number of processed clauses : 375
% 2.33/0.77 % Positive orientable unit clauses : 19
% 2.33/0.77 % Positive unorientable unit clauses: 0
% 2.33/0.77 % Negative unit clauses : 6
% 2.33/0.77 % Non-unit-clauses : 350
% 2.33/0.77 % Current number of unprocessed clauses: 1204
% 2.33/0.77 % ...number of literals in the above : 5583
% 2.33/0.77 % Current number of archived formulas : 0
% 2.33/0.77 % Current number of archived clauses : 106
% 2.33/0.77 % Clause-clause subsumption calls (NU) : 19423
% 2.33/0.77 % Rec. Clause-clause subsumption calls : 6139
% 2.33/0.77 % Non-unit clause-clause subsumptions : 195
% 2.33/0.77 % Unit Clause-clause subsumption calls : 228
% 2.33/0.77 % Rewrite failures with RHS unbound : 0
% 2.33/0.77 % BW rewrite match attempts : 27
% 2.33/0.77 % BW rewrite match successes : 5
% 2.33/0.77 % Condensation attempts : 0
% 2.33/0.77 % Condensation successes : 0
% 2.33/0.77 % Termbank termtop insertions : 282167
% 2.33/0.77 % Search garbage collected termcells : 1634
% 2.33/0.77
% 2.33/0.77 % -------------------------------------------------
% 2.33/0.77 % User time : 0.438 s
% 2.33/0.77 % System time : 0.020 s
% 2.33/0.77 % Total time : 0.458 s
% 2.33/0.77 % Maximum resident set size: 3920 pages
% 2.33/0.77
% 2.33/0.77 % -------------------------------------------------
% 2.33/0.77 % User time : 0.440 s
% 2.33/0.77 % System time : 0.027 s
% 2.33/0.77 % Total time : 0.468 s
% 2.33/0.77 % Maximum resident set size: 4864 pages
% 2.33/0.77 % E exiting
%------------------------------------------------------------------------------