TSTP Solution File: SEV238^5 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SEV238^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 15:54:03 EDT 2024

% Result   : Theorem 0.21s 0.51s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEV238^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri Jun 21 19:22:54 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.21/0.49  Running higher-order theorem proving
% 0.21/0.49  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.GknTyBVDVB/E---3.1_27380.p
% 0.21/0.51  # Version: 3.2.0-ho
% 0.21/0.51  # Preprocessing class: HSMSSMSSSSLNHHA.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting sh5l with 900s (3) cores
% 0.21/0.51  # Starting new_bool_2 with 900s (3) cores
% 0.21/0.51  # Starting full_lambda_3 with 300s (1) cores
% 0.21/0.51  # Starting pre_casc_2 with 300s (1) cores
% 0.21/0.51  # pre_casc_2 with pid 27462 completed with status 0
% 0.21/0.51  # Result found by pre_casc_2
% 0.21/0.51  # Preprocessing class: HSMSSMSSSSLNHHA.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting sh5l with 900s (3) cores
% 0.21/0.51  # Starting new_bool_2 with 900s (3) cores
% 0.21/0.51  # Starting full_lambda_3 with 300s (1) cores
% 0.21/0.51  # Starting pre_casc_2 with 300s (1) cores
% 0.21/0.51  # No SInE strategy applied
% 0.21/0.51  # Search class: HGHNF-FFSF21-SHHFFSBN
% 0.21/0.51  # partial match(1): HGHNF-FFSF21-SHHFFMBN
% 0.21/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting pre_casc_2 with 121s (1) cores
% 0.21/0.51  # pre_casc_2 with pid 27470 completed with status 0
% 0.21/0.51  # Result found by pre_casc_2
% 0.21/0.51  # Preprocessing class: HSMSSMSSSSLNHHA.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting sh5l with 900s (3) cores
% 0.21/0.51  # Starting new_bool_2 with 900s (3) cores
% 0.21/0.51  # Starting full_lambda_3 with 300s (1) cores
% 0.21/0.51  # Starting pre_casc_2 with 300s (1) cores
% 0.21/0.51  # No SInE strategy applied
% 0.21/0.51  # Search class: HGHNF-FFSF21-SHHFFSBN
% 0.21/0.51  # partial match(1): HGHNF-FFSF21-SHHFFMBN
% 0.21/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting pre_casc_2 with 121s (1) cores
% 0.21/0.51  # Preprocessing time       : 0.001 s
% 0.21/0.51  # Presaturation interreduction done
% 0.21/0.51  
% 0.21/0.51  # Proof found!
% 0.21/0.51  # SZS status Theorem
% 0.21/0.51  # SZS output start CNFRefutation
% 0.21/0.51  thf(decl_22, type, epred1_0: ($i > $o) > $i > $o).
% 0.21/0.51  thf(decl_23, type, esk1_1: ($i > $o) > $i).
% 0.21/0.51  thf(decl_24, type, esk2_2: ($i > $o) > ($i > $o) > $i).
% 0.21/0.51  thf(decl_25, type, esk3_0: $i).
% 0.21/0.51  thf(decl_26, type, epred2_0: $i > $o).
% 0.21/0.51  thf(decl_27, type, esk4_0: $i).
% 0.21/0.51  thf(decl_28, type, esk5_0: $i).
% 0.21/0.51  thf(decl_29, type, epred3_0: $i > $o).
% 0.21/0.51  thf(cTHM2D_pme, conjecture, ![X1:($i > $o) > $i > $o]:(((![X2:$i > $o]:((![X3:$i]:(((X2 @ X3)=>?[X4:$i > $o]:((![X5:$i]:(((X4 @ X5)=>(X1 @ X4 @ X5)))&(X4 @ X3)))))=>![X3:$i]:(((X1 @ X2 @ X3)=>(X1 @ (^[X5:$i]:(?[X4:$i > $o]:((![X6:$i]:(((X4 @ X6)=>(X1 @ X4 @ X6)))&(X4 @ X5))))) @ X3)))))&(![X7:$i]:((?[X4:$i > $o]:((![X3:$i]:(((X4 @ X3)=>(X1 @ X4 @ X3)))&(X4 @ X7)))=>(X1 @ (^[X3:$i]:(?[X4:$i > $o]:((![X5:$i]:(((X4 @ X5)=>(X1 @ X4 @ X5)))&(X4 @ X3))))) @ X7)))=>![X8:$i]:(((X1 @ (^[X3:$i]:(?[X4:$i > $o]:((![X5:$i]:(((X4 @ X5)=>(X1 @ X4 @ X5)))&(X4 @ X3))))) @ X8)=>(X1 @ (X1 @ (^[X3:$i]:(?[X4:$i > $o]:((![X5:$i]:(((X4 @ X5)=>(X1 @ X4 @ X5)))&(X4 @ X3)))))) @ X8)))))=>![X9:$i]:(((X1 @ (^[X3:$i]:(?[X4:$i > $o]:((![X5:$i]:(((X4 @ X5)=>(X1 @ X4 @ X5)))&(X4 @ X3))))) @ X9)<=>(![X3:$i]:(((X1 @ (^[X5:$i]:(?[X4:$i > $o]:((![X6:$i]:(((X4 @ X6)=>(X1 @ X4 @ X6)))&(X4 @ X5))))) @ X3)=>(X1 @ (X1 @ (^[X5:$i]:(?[X4:$i > $o]:((![X6:$i]:(((X4 @ X6)=>(X1 @ X4 @ X6)))&(X4 @ X5)))))) @ X3)))&(X1 @ (^[X3:$i]:(?[X4:$i > $o]:((![X5:$i]:(((X4 @ X5)=>(X1 @ X4 @ X5)))&(X4 @ X3))))) @ X9)))))), file('/export/starexec/sandbox2/tmp/tmp.GknTyBVDVB/E---3.1_27380.p', cTHM2D_pme)).
% 0.21/0.51  thf(c_0_1, negated_conjecture, ~(![X1:($i > $o) > $i > $o]:(((![X2:$i > $o]:((![X3:$i]:(((X2 @ X3)=>?[X4:$i > $o]:((![X5:$i]:(((X4 @ X5)=>(X1 @ X4 @ X5)))&(X4 @ X3)))))=>![X3:$i]:(((X1 @ X2 @ X3)=>(X1 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X6:$i]:((X4 @ X6=>X1 @ X4 @ X6))&X4 @ Z0)))) @ X3)))))&(![X7:$i]:((?[X4:$i > $o]:((![X3:$i]:(((X4 @ X3)=>(X1 @ X4 @ X3)))&(X4 @ X7)))=>(X1 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>X1 @ X4 @ X5))&X4 @ Z0)))) @ X7)))=>![X8:$i]:(((X1 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>X1 @ X4 @ X5))&X4 @ Z0)))) @ X8)=>(X1 @ (X1 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>X1 @ X4 @ X5))&X4 @ Z0))))) @ X8)))))=>![X9:$i]:(((X1 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>X1 @ X4 @ X5))&X4 @ Z0)))) @ X9)<=>(![X3:$i]:(((X1 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X6:$i]:((X4 @ X6=>X1 @ X4 @ X6))&X4 @ Z0)))) @ X3)=>(X1 @ (X1 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X6:$i]:((X4 @ X6=>X1 @ X4 @ X6))&X4 @ Z0))))) @ X3)))&(X1 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>X1 @ X4 @ X5))&X4 @ Z0)))) @ X9))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM2D_pme])])).
% 0.21/0.51  thf(c_0_2, negated_conjecture, ![X23:$i > $o, X25:$i > $o, X27:$i, X30:$i, X31:$i, X34:$i]:((((((X23 @ (esk1_1 @ X23))|(~(epred1_0 @ X23 @ X27)|(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X6:$i]:((X4 @ X6=>epred1_0 @ X4 @ X6))&X4 @ Z0)))) @ X27)))&(((X25 @ (esk2_2 @ X23 @ X25))|~(X25 @ (esk1_1 @ X23))|(~(epred1_0 @ X23 @ X27)|(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X6:$i]:((X4 @ X6=>epred1_0 @ X4 @ X6))&X4 @ Z0)))) @ X27)))&(~(epred1_0 @ X25 @ (esk2_2 @ X23 @ X25))|~(X25 @ (esk1_1 @ X23))|(~(epred1_0 @ X23 @ X27)|(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X6:$i]:((X4 @ X6=>epred1_0 @ X4 @ X6))&X4 @ Z0)))) @ X27)))))&(((~(epred2_0 @ X30)|(epred1_0 @ epred2_0 @ X30)|(~(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>epred1_0 @ X4 @ X5))&X4 @ Z0)))) @ X31)|(epred1_0 @ (epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>epred1_0 @ X4 @ X5))&X4 @ Z0))))) @ X31)))&((epred2_0 @ esk3_0)|(~(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>epred1_0 @ X4 @ X5))&X4 @ Z0)))) @ X31)|(epred1_0 @ (epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>epred1_0 @ X4 @ X5))&X4 @ Z0))))) @ X31))))&(~(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>epred1_0 @ X4 @ X5))&X4 @ Z0)))) @ esk3_0)|(~(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>epred1_0 @ X4 @ X5))&X4 @ Z0)))) @ X31)|(epred1_0 @ (epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>epred1_0 @ X4 @ X5))&X4 @ Z0))))) @ X31)))))&((((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X6:$i]:((X4 @ X6=>epred1_0 @ X4 @ X6))&X4 @ Z0)))) @ esk5_0)|~(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>epred1_0 @ X4 @ X5))&X4 @ Z0)))) @ esk4_0)|~(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>epred1_0 @ X4 @ X5))&X4 @ Z0)))) @ esk4_0))&(~(epred1_0 @ (epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X6:$i]:((X4 @ X6=>epred1_0 @ X4 @ X6))&X4 @ Z0))))) @ esk5_0)|~(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>epred1_0 @ X4 @ X5))&X4 @ Z0)))) @ esk4_0)|~(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>epred1_0 @ X4 @ X5))&X4 @ Z0)))) @ esk4_0)))&((~(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X6:$i]:((X4 @ X6=>epred1_0 @ X4 @ X6))&X4 @ Z0)))) @ X34)|(epred1_0 @ (epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X6:$i]:((X4 @ X6=>epred1_0 @ X4 @ X6))&X4 @ Z0))))) @ X34)|(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>epred1_0 @ X4 @ X5))&X4 @ Z0)))) @ esk4_0))&((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>epred1_0 @ X4 @ X5))&X4 @ Z0)))) @ esk4_0)|(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X4:$i > $o]:((![X5:$i]:((X4 @ X5=>epred1_0 @ X4 @ X5))&X4 @ Z0)))) @ esk4_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_1])])])])])])).
% 0.21/0.51  thf(c_0_3, plain, ![X37:$i]:(((epred3_0 @ X37)<=>?[X35:$i > $o]:((![X36:$i]:(((X35 @ X36)=>(epred1_0 @ X35 @ X36)))&(X35 @ X37))))), introduced(definition)).
% 0.21/0.51  thf(c_0_4, negated_conjecture, ((((epred1_0 @ epred3_0 @ esk4_0))=(($true)))|(((epred1_0 @ epred3_0 @ esk4_0))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3]), c_0_3])).
% 0.21/0.51  thf(c_0_5, negated_conjecture, ((((epred1_0 @ epred3_0 @ esk5_0))=(($true)))|~((((epred1_0 @ epred3_0 @ esk4_0))=(($true))))|~((((epred1_0 @ epred3_0 @ esk4_0))=(($true))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3]), c_0_3]), c_0_3])).
% 0.21/0.51  thf(c_0_6, negated_conjecture, (((epred1_0 @ epred3_0 @ esk4_0))=(($true))), inference(cn,[status(thm)],[c_0_4])).
% 0.21/0.51  thf(c_0_7, negated_conjecture, (~((((epred1_0 @ (epred1_0 @ epred3_0) @ esk5_0))=(($true))))|~((((epred1_0 @ epred3_0 @ esk4_0))=(($true))))|~((((epred1_0 @ epred3_0 @ esk4_0))=(($true))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3]), c_0_3]), c_0_3])).
% 0.21/0.51  thf(c_0_8, negated_conjecture, ![X3:$i, X6:$i]:(((epred1_0 @ epred2_0 @ X3)|(((epred1_0 @ (epred1_0 @ epred3_0) @ X6))=(($true)))|~((epred2_0 @ X3))|~((((epred1_0 @ epred3_0 @ X6))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3]), c_0_3])).
% 0.21/0.51  thf(c_0_9, negated_conjecture, ((((epred1_0 @ epred3_0 @ esk5_0))=(($true)))|~((((epred1_0 @ epred3_0 @ esk4_0))=(($true))))), inference(cn,[status(thm)],[c_0_5])).
% 0.21/0.51  thf(c_0_10, negated_conjecture, (epred1_0 @ epred3_0 @ esk4_0), inference(cn,[status(thm)],[c_0_6])).
% 0.21/0.51  thf(c_0_11, negated_conjecture, (~((((epred1_0 @ epred3_0 @ esk4_0))=(($true))))|~((((epred1_0 @ (epred1_0 @ epred3_0) @ esk5_0))=(($true))))), inference(cn,[status(thm)],[c_0_7])).
% 0.21/0.51  thf(c_0_12, negated_conjecture, ![X2:$i > $o, X3:$i]:(((X2 @ (esk1_1 @ X2))|(((epred1_0 @ epred3_0 @ X3))=(($true)))|~((epred1_0 @ X2 @ X3)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])).
% 0.21/0.51  thf(c_0_13, negated_conjecture, ![X3:$i, X5:$i]:(((epred1_0 @ (epred1_0 @ epred3_0) @ X3)|(epred1_0 @ epred2_0 @ X5)|~((epred1_0 @ epred3_0 @ X3))|~((epred2_0 @ X5)))), inference(cn,[status(thm)],[c_0_8])).
% 0.21/0.51  thf(c_0_14, negated_conjecture, (epred1_0 @ epred3_0 @ esk5_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_9]), c_0_10])])).
% 0.21/0.51  thf(c_0_15, negated_conjecture, ~((epred1_0 @ (epred1_0 @ epred3_0) @ esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_11]), c_0_10])])).
% 0.21/0.51  thf(c_0_16, negated_conjecture, ![X5:$i]:(((epred2_0 @ esk3_0)|(((epred1_0 @ (epred1_0 @ epred3_0) @ X5))=(($true)))|~((((epred1_0 @ epred3_0 @ X5))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3]), c_0_3])).
% 0.21/0.51  thf(c_0_17, negated_conjecture, ![X2:$i > $o, X4:$i > $o, X3:$i]:(((((epred1_0 @ epred3_0 @ X3))=(($true)))|~((epred1_0 @ X2 @ (esk2_2 @ X4 @ X2)))|~((X2 @ (esk1_1 @ X4)))|~((epred1_0 @ X4 @ X3)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])).
% 0.21/0.51  thf(c_0_18, negated_conjecture, ![X2:$i > $o, X4:$i > $o, X3:$i]:(((X2 @ (esk2_2 @ X4 @ X2))|(((epred1_0 @ epred3_0 @ X3))=(($true)))|~((X2 @ (esk1_1 @ X4)))|~((epred1_0 @ X4 @ X3)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])).
% 0.21/0.51  thf(c_0_19, negated_conjecture, ![X2:$i > $o, X3:$i]:(((epred1_0 @ epred3_0 @ X3)|(X2 @ (esk1_1 @ X2))|~((epred1_0 @ X2 @ X3)))), inference(cn,[status(thm)],[c_0_12])).
% 0.21/0.51  thf(c_0_20, negated_conjecture, ![X3:$i]:(((epred1_0 @ epred2_0 @ X3)|~((epred2_0 @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])).
% 0.21/0.51  thf(c_0_21, negated_conjecture, ![X3:$i]:(((epred1_0 @ (epred1_0 @ epred3_0) @ X3)|(epred2_0 @ esk3_0)|~((epred1_0 @ epred3_0 @ X3)))), inference(cn,[status(thm)],[c_0_16])).
% 0.21/0.51  thf(c_0_22, negated_conjecture, ![X2:$i > $o, X3:$i, X4:$i > $o]:(((epred1_0 @ epred3_0 @ X3)|~((epred1_0 @ X2 @ (esk2_2 @ X4 @ X2)))|~((epred1_0 @ X4 @ X3))|~((X2 @ (esk1_1 @ X4))))), inference(cn,[status(thm)],[c_0_17])).
% 0.21/0.51  thf(c_0_23, negated_conjecture, ![X2:$i > $o, X3:$i, X4:$i > $o]:(((epred1_0 @ epred3_0 @ X3)|(X2 @ (esk2_2 @ X4 @ X2))|~((epred1_0 @ X4 @ X3))|~((X2 @ (esk1_1 @ X4))))), inference(cn,[status(thm)],[c_0_18])).
% 0.21/0.51  thf(c_0_24, negated_conjecture, ![X3:$i]:(((epred2_0 @ (esk1_1 @ epred2_0))|(epred1_0 @ epred3_0 @ X3)|~((epred2_0 @ X3)))), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 0.21/0.51  thf(c_0_25, negated_conjecture, (epred2_0 @ esk3_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_14]), c_0_15])).
% 0.21/0.51  thf(c_0_26, negated_conjecture, ![X2:$i > $o, X3:$i]:(((epred1_0 @ epred3_0 @ X3)|~((epred2_0 @ (esk1_1 @ X2)))|~((epred1_0 @ X2 @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_20]), c_0_23])).
% 0.21/0.51  thf(c_0_27, negated_conjecture, ((epred1_0 @ epred3_0 @ esk3_0)|(epred2_0 @ (esk1_1 @ epred2_0))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 0.21/0.51  thf(c_0_28, negated_conjecture, ![X3:$i]:(((epred1_0 @ epred3_0 @ esk3_0)|(epred1_0 @ epred3_0 @ X3)|~((epred1_0 @ epred2_0 @ X3)))), inference(spm,[status(thm)],[c_0_26, c_0_27])).
% 0.21/0.51  thf(c_0_29, negated_conjecture, ![X5:$i]:(((((epred1_0 @ (epred1_0 @ epred3_0) @ X5))=(($true)))|~((((epred1_0 @ epred3_0 @ esk3_0))=(($true))))|~((((epred1_0 @ epred3_0 @ X5))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3]), c_0_3]), c_0_3])).
% 0.21/0.51  thf(c_0_30, negated_conjecture, ![X3:$i]:(((epred1_0 @ epred3_0 @ esk3_0)|(epred1_0 @ epred3_0 @ X3)|~((epred2_0 @ X3)))), inference(spm,[status(thm)],[c_0_28, c_0_20])).
% 0.21/0.51  thf(c_0_31, negated_conjecture, ![X3:$i]:(((epred1_0 @ (epred1_0 @ epred3_0) @ X3)|~((epred1_0 @ epred3_0 @ esk3_0))|~((epred1_0 @ epred3_0 @ X3)))), inference(cn,[status(thm)],[c_0_29])).
% 0.21/0.51  thf(c_0_32, negated_conjecture, (epred1_0 @ epred3_0 @ esk3_0), inference(spm,[status(thm)],[c_0_30, c_0_25])).
% 0.21/0.51  thf(c_0_33, negated_conjecture, ![X3:$i]:(((epred1_0 @ (epred1_0 @ epred3_0) @ X3)|~((epred1_0 @ epred3_0 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32])])).
% 0.21/0.51  thf(c_0_34, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_33]), c_0_14])]), ['proof']).
% 0.21/0.51  # SZS output end CNFRefutation
% 0.21/0.51  # Parsed axioms                        : 1
% 0.21/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.51  # Initial clauses                      : 14
% 0.21/0.51  # Removed in clause preprocessing      : 0
% 0.21/0.51  # Initial clauses in saturation        : 14
% 0.21/0.51  # Processed clauses                    : 78
% 0.21/0.51  # ...of these trivial                  : 11
% 0.21/0.51  # ...subsumed                          : 7
% 0.21/0.51  # ...remaining for further processing  : 60
% 0.21/0.51  # Other redundant clauses eliminated   : 31
% 0.21/0.51  # Clauses deleted for lack of memory   : 0
% 0.21/0.51  # Backward-subsumed                    : 7
% 0.21/0.51  # Backward-rewritten                   : 7
% 0.21/0.51  # Generated clauses                    : 131
% 0.21/0.51  # ...of the previous two non-redundant : 87
% 0.21/0.51  # ...aggressively subsumed             : 0
% 0.21/0.51  # Contextual simplify-reflections      : 4
% 0.21/0.51  # Paramodulations                      : 49
% 0.21/0.51  # Factorizations                       : 0
% 0.21/0.51  # NegExts                              : 8
% 0.21/0.51  # Equation resolutions                 : 31
% 0.21/0.51  # Disequality decompositions           : 0
% 0.21/0.51  # Total rewrite steps                  : 25
% 0.21/0.51  # ...of those cached                   : 20
% 0.21/0.51  # Propositional unsat checks           : 0
% 0.21/0.51  #    Propositional check models        : 0
% 0.21/0.51  #    Propositional check unsatisfiable : 0
% 0.21/0.51  #    Propositional clauses             : 0
% 0.21/0.51  #    Propositional clauses after purity: 0
% 0.21/0.51  #    Propositional unsat core size     : 0
% 0.21/0.51  #    Propositional preprocessing time  : 0.000
% 0.21/0.51  #    Propositional encoding time       : 0.000
% 0.21/0.51  #    Propositional solver time         : 0.000
% 0.21/0.51  #    Success case prop preproc time    : 0.000
% 0.21/0.51  #    Success case prop encoding time   : 0.000
% 0.21/0.51  #    Success case prop solver time     : 0.000
% 0.21/0.51  # Current number of processed clauses  : 28
% 0.21/0.51  #    Positive orientable unit clauses  : 5
% 0.21/0.51  #    Positive unorientable unit clauses: 0
% 0.21/0.51  #    Negative unit clauses             : 2
% 0.21/0.51  #    Non-unit-clauses                  : 21
% 0.21/0.51  # Current number of unprocessed clauses: 30
% 0.21/0.51  # ...number of literals in the above   : 148
% 0.21/0.51  # Current number of archived formulas  : 0
% 0.21/0.51  # Current number of archived clauses   : 32
% 0.21/0.51  # Clause-clause subsumption calls (NU) : 440
% 0.21/0.51  # Rec. Clause-clause subsumption calls : 194
% 0.21/0.51  # Non-unit clause-clause subsumptions  : 16
% 0.21/0.51  # Unit Clause-clause subsumption calls : 28
% 0.21/0.51  # Rewrite failures with RHS unbound    : 0
% 0.21/0.51  # BW rewrite match attempts            : 2
% 0.21/0.51  # BW rewrite match successes           : 2
% 0.21/0.51  # Condensation attempts                : 78
% 0.21/0.51  # Condensation successes               : 1
% 0.21/0.51  # Termbank termtop insertions          : 5709
% 0.21/0.51  # Search garbage collected termcells   : 1180
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.010 s
% 0.21/0.51  # System time              : 0.001 s
% 0.21/0.51  # Total time               : 0.012 s
% 0.21/0.51  # Maximum resident set size: 2052 pages
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.010 s
% 0.21/0.51  # System time              : 0.004 s
% 0.21/0.51  # Total time               : 0.015 s
% 0.21/0.51  # Maximum resident set size: 1724 pages
% 0.21/0.51  % E---3.1 exiting
% 0.21/0.51  % E exiting
%------------------------------------------------------------------------------