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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEV244^6 : TPTP v9.3.1. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 08:35:16 AM UTC 2026

% Result   : Theorem 0.08s 0.15s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SEV244^6 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.02  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Tue Sep 29 15:26:33 UTC 2026
% 0.00/0.10  % CPUTime  : 
% 0.00/0.10  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12  Running higher-order theorem proving
% 0.08/0.13  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.9IfATd3KXt/E---3.1_242645.p
% 0.08/0.15  % Version: 3.5.1-ho
% 0.08/0.15  % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.08/0.15  % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.15  % Starting sh2lt with 1200s (4) cores
% 0.08/0.15  % Starting new_ho_10_unif with 300s (1) cores
% 0.08/0.15  % Starting full_lambda_6 with 300s (1) cores
% 0.08/0.15  % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.15  % Starting ehoh_best3_rw with 300s (1) cores
% 0.08/0.15  % sh2lt with pid 242658 completed with status 0
% 0.08/0.15  % Result found by sh2lt
% 0.08/0.15  % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.08/0.15  % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.15  % Starting sh2lt with 1200s (4) cores
% 0.08/0.15  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.08/0.15  % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.08/0.15  % Search class: HGHNF-FFSF21-SHHFFMBN
% 0.08/0.15  % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.08/0.15  % Starting SubtermCWHack with 109s (1) cores
% 0.08/0.15  % Starting sh2lt with 121s (1) cores
% 0.08/0.15  % Starting full_lambda_9 with 163s (1) cores
% 0.08/0.15  % Starting ho_unfolding_2 with 163s (1) cores
% 0.08/0.15  % SubtermCWHack with pid 242665 completed with status 0
% 0.08/0.15  % Result found by SubtermCWHack
% 0.08/0.15  % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.08/0.15  % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.15  % Starting sh2lt with 1200s (4) cores
% 0.08/0.15  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.08/0.15  % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.08/0.15  % Search class: HGHNF-FFSF21-SHHFFMBN
% 0.08/0.15  % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.08/0.15  % Starting SubtermCWHack with 109s (1) cores
% 0.08/0.15  % Preprocessing time       : 0.001 s
% 0.08/0.15  
% 0.08/0.15  % Proof found!
% 0.08/0.15  % SZS status Theorem
% 0.08/0.15  % SZS output start CNFRefutation
% 0.08/0.15  thf(decl_23, type, epred1_0: ($i > $o) > $i > $o).
% 0.08/0.15  thf(decl_24, type, esk1_2: ($i > $o) > ($i > $o) > $i).
% 0.08/0.15  thf(decl_25, type, esk2_0: $i).
% 0.08/0.15  thf(decl_26, type, esk3_1: ($i > $o) > $i).
% 0.08/0.15  thf(decl_27, type, epred2_0: $i > $o).
% 0.08/0.15  thf(decl_28, type, epred3_0: $i > $o).
% 0.08/0.15  thf(decl_29, type, epred4_1: $i > $i > $o).
% 0.08/0.15  thf(decl_30, type, esk4_2: $i > ($i > $o) > $i).
% 0.08/0.15  thf(cTHM2A_pme, conjecture, ![X1:($i > $o) > $i > $o]:((![X2:$i > $o, X3:$i > $o]:((![X4:$i]:(((X2 @ X4)=>(X3 @ X4)))=>![X4:$i]:(((X1 @ X2 @ X4)=>(X1 @ X3 @ X4)))))=>![X5:$i]:(((X1 @ (^[X4:$i]:(?[X6:$i > $o]:(((![X7:$i]:((((X6 @ X7))=>((X1 @ X6 @ X7)))))&((X6 @ X4)))))) @ X5)<=>?[X6:$i > $o]:((![X4:$i]:(((X6 @ X4)=>(X1 @ X6 @ X4)))&(X6 @ X5))))))), file('/export/starexec/sandbox2/tmp/tmp.9IfATd3KXt/E---3.1_242645.p', cTHM2A_pme)).
% 0.08/0.15  thf(c_0_1, negated_conjecture, ~(![X1:($i > $o) > $i > $o]:((![X2:$i > $o, X3:$i > $o]:((![X4:$i]:(((X2 @ X4)=>(X3 @ X4)))=>![X4:$i]:(((X1 @ X2 @ X4)=>(X1 @ X3 @ X4)))))=>![X5:$i]:(((X1 @ (^[X4:$i]:(?[X6:$i > $o]:(((![X7:$i]:((((X6 @ X7))=>((X1 @ X6 @ X7)))))&((X6 @ X4)))))) @ X5)<=>?[X6:$i > $o]:((![X4:$i]:(((X6 @ X4)=>(X1 @ X6 @ X4)))&(X6 @ X5)))))))), inference(assume_negation,[status(cth)],[cTHM2A_pme])).
% 0.08/0.15  thf(c_0_2, negated_conjecture, ~(![X1:($i > $o) > $i > $o]:((![X2:$i > $o, X3:$i > $o]:((![X4:$i]:(((X2 @ X4)=>(X3 @ X4)))=>![X4:$i]:(((X1 @ X2 @ X4)=>(X1 @ X3 @ X4)))))=>![X5:$i]:(((X1 @ (^[Z0:$i]:(?[X6:$i > $o]:(((![X7:$i]:(((X6 @ X7)=>(X1 @ X6 @ X7))))&(X6 @ Z0))))) @ X5)<=>?[X6:$i > $o]:((![X4:$i]:(((X6 @ X4)=>(X1 @ X6 @ X4)))&(X6 @ X5)))))))), inference(fof_simplification,[status(thm)],[c_0_1])).
% 0.08/0.15  thf(c_0_3, negated_conjecture, ![X17:$i > $o, X18:$i > $o, X20:$i, X22:$i > $o, X25:$i]:(((((X17 @ (esk1_2 @ X17 @ X18))|(~(epred1_0 @ X17 @ X20)|(epred1_0 @ X18 @ X20)))&(~(X18 @ (esk1_2 @ X17 @ X18))|(~(epred1_0 @ X17 @ X20)|(epred1_0 @ X18 @ X20))))&((((X22 @ (esk3_1 @ X22))|~(X22 @ esk2_0)|~(epred1_0 @ (^[Z0:$i]:(?[X6:$i > $o]:(((![X7:$i]:(((X6 @ X7)=>(epred1_0 @ X6 @ X7))))&(X6 @ Z0))))) @ esk2_0))&(~(epred1_0 @ X22 @ (esk3_1 @ X22))|~(X22 @ esk2_0)|~(epred1_0 @ (^[Z0:$i]:(?[X6:$i > $o]:(((![X7:$i]:(((X6 @ X7)=>(epred1_0 @ X6 @ X7))))&(X6 @ Z0))))) @ esk2_0)))&((~(epred2_0 @ X25)|(epred1_0 @ epred2_0 @ X25)|(epred1_0 @ (^[Z0:$i]:(?[X6:$i > $o]:(((![X7:$i]:(((X6 @ X7)=>(epred1_0 @ X6 @ X7))))&(X6 @ Z0))))) @ esk2_0))&((epred2_0 @ esk2_0)|(epred1_0 @ (^[Z0:$i]:(?[X6:$i > $o]:(((![X7:$i]:(((X6 @ X7)=>(epred1_0 @ X6 @ X7))))&(X6 @ Z0))))) @ 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_2])])])])])])).
% 0.08/0.15  thf(c_0_4, plain, ![X28:$i]:(((epred3_0 @ X28)<=>?[X26:$i > $o]:((![X27:$i]:(((X26 @ X27)=>(epred1_0 @ X26 @ X27)))&(X26 @ X28))))), introduced(definition)).
% 0.08/0.15  thf(c_0_5, negated_conjecture, ![X2:$i > $o]:((~((epred1_0 @ X2 @ (esk3_1 @ X2)))|~((X2 @ esk2_0))|~((((epred1_0 @ epred3_0 @ esk2_0))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])).
% 0.08/0.15  thf(c_0_6, plain, ![X38:$i, X40:$i, X41:$i > $o]:((((~(epred4_1 @ X38 @ X40)|(epred1_0 @ (epred4_1 @ X38) @ X40)|~(epred3_0 @ X38))&((epred4_1 @ X38 @ X38)|~(epred3_0 @ X38)))&(((X41 @ (esk4_2 @ X38 @ X41))|~(X41 @ X38)|(epred3_0 @ X38))&(~(epred1_0 @ X41 @ (esk4_2 @ X38 @ X41))|~(X41 @ X38)|(epred3_0 @ X38))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])])])])).
% 0.08/0.15  thf(c_0_7, negated_conjecture, ![X2:$i > $o]:(((X2 @ (esk3_1 @ X2))|~((X2 @ esk2_0))|~((((epred1_0 @ epred3_0 @ esk2_0))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])).
% 0.08/0.15  thf(c_0_8, negated_conjecture, ![X2:$i > $o]:((~((epred1_0 @ X2 @ (esk3_1 @ X2)))|~((epred1_0 @ epred3_0 @ esk2_0))|~((X2 @ esk2_0)))), inference(cn,[status(thm)],[c_0_5])).
% 0.08/0.15  thf(c_0_9, plain, ![X5:$i, X4:$i]:(((epred1_0 @ (epred4_1 @ X4) @ X5)|~((epred4_1 @ X4 @ X5))|~((epred3_0 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.08/0.15  thf(c_0_10, negated_conjecture, ![X2:$i > $o]:(((X2 @ (esk3_1 @ X2))|~((epred1_0 @ epred3_0 @ esk2_0))|~((X2 @ esk2_0)))), inference(cn,[status(thm)],[c_0_7])).
% 0.08/0.15  thf(c_0_11, negated_conjecture, ![X4:$i]:(((epred1_0 @ epred2_0 @ X4)|(((epred1_0 @ epred3_0 @ esk2_0))=(($true)))|~((epred2_0 @ X4)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])).
% 0.08/0.15  thf(c_0_12, plain, ![X4:$i]:((~((epred1_0 @ epred3_0 @ esk2_0))|~((epred4_1 @ X4 @ esk2_0))|~((epred3_0 @ X4)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10])).
% 0.08/0.15  thf(c_0_13, plain, ![X4:$i]:(((epred4_1 @ X4 @ X4)|~((epred3_0 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.08/0.15  thf(c_0_14, negated_conjecture, ((epred2_0 @ esk2_0)|(((epred1_0 @ epred3_0 @ esk2_0))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])).
% 0.08/0.15  thf(c_0_15, negated_conjecture, ![X2:$i > $o, X3:$i > $o, X4:$i]:(((X2 @ (esk1_2 @ X2 @ X3))|(epred1_0 @ X3 @ X4)|~((epred1_0 @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.08/0.15  thf(c_0_16, negated_conjecture, ![X4:$i]:(((epred1_0 @ epred3_0 @ esk2_0)|(epred1_0 @ epred2_0 @ X4)|~((epred2_0 @ X4)))), inference(cn,[status(thm)],[c_0_11])).
% 0.08/0.15  thf(c_0_17, plain, (~((epred1_0 @ epred3_0 @ esk2_0))|~((epred3_0 @ esk2_0))), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 0.08/0.15  thf(c_0_18, negated_conjecture, ((epred1_0 @ epred3_0 @ esk2_0)|(epred2_0 @ esk2_0)), inference(cn,[status(thm)],[c_0_14])).
% 0.08/0.15  thf(c_0_19, plain, ![X2:$i > $o, X4:$i]:(((epred3_0 @ X4)|~((epred1_0 @ X2 @ (esk4_2 @ X4 @ X2)))|~((X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.08/0.15  thf(c_0_20, plain, ![X2:$i > $o, X4:$i]:(((X2 @ (esk4_2 @ X4 @ X2))|(epred3_0 @ X4)|~((X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.08/0.15  thf(c_0_21, negated_conjecture, ![X2:$i > $o, X4:$i]:(((epred2_0 @ (esk1_2 @ epred2_0 @ X2))|(epred1_0 @ epred3_0 @ esk2_0)|(epred1_0 @ X2 @ X4)|~((epred2_0 @ X4)))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 0.08/0.15  thf(c_0_22, negated_conjecture, ((epred2_0 @ esk2_0)|~((epred3_0 @ esk2_0))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 0.08/0.15  thf(c_0_23, plain, ![X2:$i > $o, X5:$i, X4:$i]:(((epred4_1 @ X4 @ (esk1_2 @ (epred4_1 @ X4) @ X2))|(epred1_0 @ X2 @ X5)|~((epred4_1 @ X4 @ X5))|~((epred3_0 @ X4)))), inference(spm,[status(thm)],[c_0_15, c_0_9])).
% 0.08/0.15  thf(c_0_24, plain, ![X4:$i]:(((epred1_0 @ epred3_0 @ esk2_0)|(epred3_0 @ X4)|~((epred2_0 @ X4)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_16]), c_0_20])).
% 0.08/0.15  thf(c_0_25, negated_conjecture, ![X2:$i > $o]:(((epred2_0 @ (esk1_2 @ epred2_0 @ X2))|(epred1_0 @ X2 @ esk2_0)|~((epred3_0 @ esk2_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_17])).
% 0.08/0.15  thf(c_0_26, plain, ![X4:$i, X5:$i]:(((epred3_0 @ X4)|~((epred4_1 @ X5 @ X4))|~((epred3_0 @ X5)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_9]), c_0_20])).
% 0.08/0.15  thf(c_0_27, plain, ![X2:$i > $o, X4:$i]:(((epred4_1 @ X4 @ (esk1_2 @ (epred4_1 @ X4) @ X2))|(epred1_0 @ X2 @ X4)|~((epred3_0 @ X4)))), inference(spm,[status(thm)],[c_0_23, c_0_13])).
% 0.08/0.15  thf(c_0_28, negated_conjecture, ![X2:$i > $o, X3:$i > $o, X4:$i]:(((epred1_0 @ X2 @ X4)|~((X2 @ (esk1_2 @ X3 @ X2)))|~((epred1_0 @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.08/0.15  thf(c_0_29, plain, ![X2:$i > $o]:(((epred3_0 @ (esk1_2 @ epred2_0 @ X2))|(epred1_0 @ X2 @ esk2_0)|~((epred3_0 @ esk2_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_17])).
% 0.08/0.15  thf(c_0_30, plain, ![X2:$i > $o, X4:$i]:(((epred3_0 @ (esk1_2 @ (epred4_1 @ X4) @ X2))|(epred1_0 @ X2 @ X4)|~((epred3_0 @ X4)))), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 0.08/0.15  thf(c_0_31, negated_conjecture, ![X4:$i]:(((epred1_0 @ epred3_0 @ X4)|~((epred1_0 @ epred2_0 @ X4))|~((epred3_0 @ esk2_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_17])).
% 0.08/0.15  thf(c_0_32, negated_conjecture, ![X5:$i, X4:$i]:(((epred1_0 @ epred3_0 @ X4)|(epred1_0 @ epred3_0 @ X5)|~((epred1_0 @ (epred4_1 @ X4) @ X5))|~((epred3_0 @ X4)))), inference(spm,[status(thm)],[c_0_28, c_0_30])).
% 0.08/0.15  thf(c_0_33, negated_conjecture, ![X4:$i]:(((epred1_0 @ epred3_0 @ X4)|~((epred3_0 @ esk2_0))|~((epred2_0 @ X4)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_16]), c_0_17])).
% 0.08/0.15  thf(c_0_34, plain, ![X4:$i, X5:$i]:(((epred1_0 @ epred3_0 @ X4)|(epred1_0 @ epred3_0 @ X5)|~((epred4_1 @ X5 @ X4))|~((epred3_0 @ X5)))), inference(spm,[status(thm)],[c_0_32, c_0_9])).
% 0.08/0.15  thf(c_0_35, plain, ![X2:$i > $o, X3:$i > $o, X4:$i]:(((epred1_0 @ X2 @ (esk4_2 @ X4 @ (epred1_0 @ X3)))|(X3 @ (esk1_2 @ X3 @ X2))|(epred3_0 @ X4)|~((epred1_0 @ X3 @ X4)))), inference(spm,[status(thm)],[c_0_15, c_0_20])).
% 0.08/0.15  thf(c_0_36, plain, ~((epred3_0 @ esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_33]), c_0_22])).
% 0.08/0.15  thf(c_0_37, plain, ![X4:$i]:(((epred1_0 @ epred3_0 @ X4)|~((epred3_0 @ X4)))), inference(spm,[status(thm)],[c_0_34, c_0_13])).
% 0.08/0.15  thf(c_0_38, negated_conjecture, ![X2:$i > $o]:(((epred1_0 @ X2 @ (esk4_2 @ esk2_0 @ (epred1_0 @ epred3_0)))|(epred3_0 @ (esk1_2 @ epred3_0 @ X2))|(epred2_0 @ esk2_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_18]), c_0_36])).
% 0.08/0.15  thf(c_0_39, negated_conjecture, ![X2:$i > $o, X4:$i]:(((epred1_0 @ (epred1_0 @ epred3_0) @ X4)|~((epred3_0 @ (esk1_2 @ X2 @ (epred1_0 @ epred3_0))))|~((epred1_0 @ X2 @ X4)))), inference(spm,[status(thm)],[c_0_28, c_0_37])).
% 0.08/0.15  thf(c_0_40, plain, ((epred3_0 @ (esk1_2 @ epred3_0 @ (epred1_0 @ epred3_0)))|(epred2_0 @ esk2_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_38]), c_0_36]), c_0_18])).
% 0.08/0.15  thf(c_0_41, negated_conjecture, ![X4:$i]:(((epred1_0 @ (epred1_0 @ epred3_0) @ X4)|(epred2_0 @ esk2_0)|~((epred1_0 @ epred3_0 @ X4)))), inference(spm,[status(thm)],[c_0_39, c_0_40])).
% 0.08/0.15  thf(c_0_42, negated_conjecture, ((epred2_0 @ esk2_0)|~((epred1_0 @ epred3_0 @ (esk3_1 @ (epred1_0 @ epred3_0))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_41]), c_0_18])).
% 0.08/0.15  thf(c_0_43, negated_conjecture, (epred2_0 @ esk2_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_10]), c_0_18])).
% 0.08/0.15  thf(c_0_44, plain, (epred1_0 @ epred3_0 @ esk2_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_43]), c_0_36])).
% 0.08/0.15  thf(c_0_45, plain, ![X2:$i > $o]:(((epred1_0 @ X2 @ (esk4_2 @ esk2_0 @ (epred1_0 @ epred3_0)))|(epred3_0 @ (esk1_2 @ epred3_0 @ X2)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_44]), c_0_36])).
% 0.08/0.15  thf(c_0_46, plain, (epred3_0 @ (esk1_2 @ epred3_0 @ (epred1_0 @ epred3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_45]), c_0_44])]), c_0_36])).
% 0.08/0.15  thf(c_0_47, negated_conjecture, ![X2:$i > $o]:((~((epred1_0 @ X2 @ (esk3_1 @ X2)))|~((X2 @ esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_44])])).
% 0.08/0.15  thf(c_0_48, negated_conjecture, ![X4:$i]:(((epred1_0 @ (epred1_0 @ epred3_0) @ X4)|~((epred1_0 @ epred3_0 @ X4)))), inference(spm,[status(thm)],[c_0_39, c_0_46])).
% 0.08/0.15  thf(c_0_49, negated_conjecture, ~((epred1_0 @ epred3_0 @ (esk3_1 @ (epred1_0 @ epred3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_44])])).
% 0.08/0.15  thf(c_0_50, negated_conjecture, ![X2:$i > $o]:(((X2 @ (esk3_1 @ X2))|~((X2 @ esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_44])])).
% 0.08/0.15  thf(c_0_51, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_44])]), ['proof']).
% 0.08/0.15  % SZS output end CNFRefutation
% 0.08/0.15  % Parsed axioms                        : 1
% 0.08/0.15  % Removed by relevancy pruning/SinE    : 0
% 0.08/0.15  % Initial clauses                      : 10
% 0.08/0.15  % Removed in clause preprocessing      : 0
% 0.08/0.15  % Initial clauses in saturation        : 10
% 0.08/0.15  % Processed clauses                    : 59
% 0.08/0.15  % ...of these trivial                  : 0
% 0.08/0.15  % ...subsumed                          : 7
% 0.08/0.15  % ...remaining for further processing  : 52
% 0.08/0.15  % Other redundant clauses eliminated   : 0
% 0.08/0.15  % Clauses deleted for lack of memory   : 0
% 0.08/0.15  % Backward-subsumed                    : 10
% 0.08/0.15  % Backward-rewritten                   : 15
% 0.08/0.15  % Generated clauses                    : 120
% 0.08/0.15  % ...of the previous two non-redundant : 108
% 0.08/0.15  % ...aggressively subsumed             : 0
% 0.08/0.15  % Contextual simplify-reflections      : 11
% 0.08/0.15  % Paramodulations                      : 120
% 0.08/0.15  % Factorizations                       : 0
% 0.08/0.15  % NegExts                              : 0
% 0.08/0.15  % Equation resolutions                 : 0
% 0.08/0.15  % Disequality decompositions           : 0
% 0.08/0.15  % Total rewrite steps                  : 19
% 0.08/0.15  % ...of those cached                   : 17
% 0.08/0.15  % Propositional unsat checks           : 0
% 0.08/0.15  %    Propositional check models        : 0
% 0.08/0.15  %    Propositional check unsatisfiable : 0
% 0.08/0.15  %    Propositional clauses             : 0
% 0.08/0.15  %    Propositional clauses after purity: 0
% 0.08/0.15  %    Propositional unsat core size     : 0
% 0.08/0.15  %    Propositional preprocessing time  : 0.000
% 0.08/0.15  %    Propositional encoding time       : 0.000
% 0.08/0.15  %    Propositional solver time         : 0.000
% 0.08/0.15  %    Success case prop preproc time    : 0.000
% 0.08/0.15  %    Success case prop encoding time   : 0.000
% 0.08/0.15  %    Success case prop solver time     : 0.000
% 0.08/0.15  % Current number of processed clauses  : 27
% 0.08/0.15  %    Positive orientable unit clauses  : 3
% 0.08/0.15  %    Positive unorientable unit clauses: 0
% 0.08/0.15  %    Negative unit clauses             : 2
% 0.08/0.15  %    Non-unit-clauses                  : 22
% 0.08/0.15  % Current number of unprocessed clauses: 49
% 0.08/0.15  % ...number of literals in the above   : 202
% 0.08/0.15  % Current number of archived formulas  : 0
% 0.08/0.15  % Current number of archived clauses   : 25
% 0.08/0.15  % Clause-clause subsumption calls (NU) : 270
% 0.08/0.15  % Rec. Clause-clause subsumption calls : 170
% 0.08/0.15  % Non-unit clause-clause subsumptions  : 18
% 0.08/0.15  % Unit Clause-clause subsumption calls : 13
% 0.08/0.15  % Rewrite failures with RHS unbound    : 0
% 0.08/0.15  % BW rewrite match attempts            : 2
% 0.08/0.15  % BW rewrite match successes           : 2
% 0.08/0.15  % Condensation attempts                : 0
% 0.08/0.15  % Condensation successes               : 0
% 0.08/0.15  % Termbank termtop insertions          : 3741
% 0.08/0.15  % Search garbage collected termcells   : 531
% 0.08/0.15  
% 0.08/0.15  % -------------------------------------------------
% 0.08/0.15  % User time                : 0.006 s
% 0.08/0.15  % System time              : 0.002 s
% 0.08/0.15  % Total time               : 0.007 s
% 0.08/0.15  % Maximum resident set size: 3892 pages
% 0.08/0.15  
% 0.08/0.15  % -------------------------------------------------
% 0.08/0.15  % User time                : 0.017 s
% 0.08/0.15  % System time              : 0.008 s
% 0.08/0.15  % Total time               : 0.025 s
% 0.08/0.15  % Maximum resident set size: 4864 pages
% 0.08/0.15  % E exiting
%------------------------------------------------------------------------------