TSTP Solution File: SEV238^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEV238^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 : Tue May 21 04:08:03 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
% 0.12/0.13  % Problem    : SEV238^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 19 19:06:23 EDT 2024
% 0.14/0.36  % 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/benchmark/theBenchmark.p
% 0.21/0.51  # Version: 3.1.0-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  # sh5l with pid 25728 completed with status 0
% 0.21/0.51  # Result found by sh5l
% 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  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.51  # Search class: HGHNF-FFMF21-DHHFFSBN
% 0.21/0.51  # partial match(3): HGHNF-FFMF00-SHHFFSBN
% 0.21/0.51  # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 0.21/0.51  # Starting sh2lt with 185s (1) cores
% 0.21/0.51  # Starting sh5l with 91s (1) cores
% 0.21/0.51  # Starting new_bool_1 with 184s (1) cores
% 0.21/0.51  # sh2lt with pid 25732 completed with status 0
% 0.21/0.51  # Result found by sh2lt
% 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  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.51  # Search class: HGHNF-FFMF21-DHHFFSBN
% 0.21/0.51  # partial match(3): HGHNF-FFMF00-SHHFFSBN
% 0.21/0.51  # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 0.21/0.51  # Starting sh2lt with 185s (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: $i).
% 0.21/0.51  thf(cTHM2D_pme, conjecture, ![X1:($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/benchmark/theBenchmark.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, negated_conjecture, ((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X49:$i > $o]:((![X50:$i]:(((X49 @ X50)=>(epred1_0 @ X49 @ X50)))&(X49 @ Z0))))) @ esk5_0)|~((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X51:$i > $o]:((![X52:$i]:(((X51 @ X52)=>(epred1_0 @ X51 @ X52)))&(X51 @ Z0))))) @ esk4_0))|~((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X53:$i > $o]:((![X54:$i]:(((X53 @ X54)=>(epred1_0 @ X53 @ X54)))&(X53 @ Z0))))) @ esk4_0))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.21/0.51  thf(c_0_4, negated_conjecture, ((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X55:$i > $o]:((![X56:$i]:(((X55 @ X56)=>(epred1_0 @ X55 @ X56)))&(X55 @ Z0))))) @ esk4_0)|(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X57:$i > $o]:((![X58:$i]:(((X57 @ X58)=>(epred1_0 @ X57 @ X58)))&(X57 @ Z0))))) @ esk4_0)), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.21/0.51  thf(c_0_5, negated_conjecture, (~((epred1_0 @ (epred1_0 @ (^[Z0/* 5 */:$i]:(?[X59:$i > $o]:((![X60:$i]:(((X59 @ X60)=>(epred1_0 @ X59 @ X60)))&(X59 @ Z0)))))) @ esk5_0))|~((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X61:$i > $o]:((![X62:$i]:(((X61 @ X62)=>(epred1_0 @ X61 @ X62)))&(X61 @ Z0))))) @ esk4_0))|~((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X63:$i > $o]:((![X64:$i]:(((X63 @ X64)=>(epred1_0 @ X63 @ X64)))&(X63 @ Z0))))) @ esk4_0))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.21/0.51  thf(c_0_6, negated_conjecture, ((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X65:$i > $o]:((![X66:$i]:(((X65 @ X66)=>(epred1_0 @ X65 @ X66)))&(X65 @ Z0))))) @ esk5_0)|~((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X67:$i > $o]:((![X68:$i]:(((X67 @ X68)=>(epred1_0 @ X67 @ X68)))&(X67 @ Z0))))) @ esk4_0))), inference(cn,[status(thm)],[c_0_3])).
% 0.21/0.51  thf(c_0_7, negated_conjecture, (epred1_0 @ (^[Z0/* 5 */:$i]:(?[X69:$i > $o]:((![X70:$i]:(((X69 @ X70)=>(epred1_0 @ X69 @ X70)))&(X69 @ Z0))))) @ esk4_0), inference(cn,[status(thm)],[c_0_4])).
% 0.21/0.51  thf(c_0_8, negated_conjecture, (~((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X71:$i > $o]:((![X72:$i]:(((X71 @ X72)=>(epred1_0 @ X71 @ X72)))&(X71 @ Z0))))) @ esk4_0))|~((epred1_0 @ (epred1_0 @ (^[Z0/* 5 */:$i]:(?[X73:$i > $o]:((![X74:$i]:(((X73 @ X74)=>(epred1_0 @ X73 @ X74)))&(X73 @ Z0)))))) @ esk5_0))), inference(cn,[status(thm)],[c_0_5])).
% 0.21/0.51  thf(c_0_9, negated_conjecture, ![X3:$i, X6:$i]:(((epred1_0 @ epred2_0 @ X3)|(epred1_0 @ (epred1_0 @ (^[Z0/* 5 */:$i]:(?[X75:$i > $o]:((![X76:$i]:(((X75 @ X76)=>(epred1_0 @ X75 @ X76)))&(X75 @ Z0)))))) @ X6)|~((epred2_0 @ X3))|~((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X77:$i > $o]:((![X78:$i]:(((X77 @ X78)=>(epred1_0 @ X77 @ X78)))&(X77 @ Z0))))) @ X6)))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.21/0.51  thf(c_0_10, negated_conjecture, (epred1_0 @ (^[Z0/* 5 */:$i]:(?[X79:$i > $o]:((![X80:$i]:(((X79 @ X80)=>(epred1_0 @ X79 @ X80)))&(X79 @ Z0))))) @ esk5_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6, c_0_7])])).
% 0.21/0.51  thf(c_0_11, negated_conjecture, ~((epred1_0 @ (epred1_0 @ (^[Z0/* 5 */:$i]:(?[X81:$i > $o]:((![X82:$i]:(((X81 @ X82)=>(epred1_0 @ X81 @ X82)))&(X81 @ Z0)))))) @ esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_7])])).
% 0.21/0.51  thf(c_0_12, negated_conjecture, ![X2:$i > $o, X3:$i]:(((X2 @ (esk1_1 @ X2))|(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X83:$i > $o]:((![X84:$i]:(((X83 @ X84)=>(epred1_0 @ X83 @ X84)))&(X83 @ Z0))))) @ X3)|~((epred1_0 @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.21/0.51  thf(c_0_13, negated_conjecture, ![X3:$i]:(((epred1_0 @ epred2_0 @ X3)|~((epred2_0 @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])).
% 0.21/0.51  thf(c_0_14, negated_conjecture, ![X5:$i]:(((epred2_0 @ esk3_0)|(epred1_0 @ (epred1_0 @ (^[Z0/* 5 */:$i]:(?[X85:$i > $o]:((![X86:$i]:(((X85 @ X86)=>(epred1_0 @ X85 @ X86)))&(X85 @ Z0)))))) @ X5)|~((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X87:$i > $o]:((![X88:$i]:(((X87 @ X88)=>(epred1_0 @ X87 @ X88)))&(X87 @ Z0))))) @ X5)))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.21/0.51  thf(c_0_15, negated_conjecture, ![X3:$i]:(((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X89:$i > $o]:((![X90:$i]:(((X89 @ X90)=>(epred1_0 @ X89 @ X90)))&(X89 @ Z0))))) @ X3)|(epred2_0 @ (esk1_1 @ epred2_0))|~((epred2_0 @ X3)))), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 0.21/0.51  thf(c_0_16, negated_conjecture, (epred2_0 @ esk3_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_10]), c_0_11])).
% 0.21/0.51  thf(c_0_17, negated_conjecture, ![X5:$i]:(((epred1_0 @ (epred1_0 @ (^[Z0/* 5 */:$i]:(?[X91:$i > $o]:((![X92:$i]:(((X91 @ X92)=>(epred1_0 @ X91 @ X92)))&(X91 @ Z0)))))) @ X5)|~((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X93:$i > $o]:((![X94:$i]:(((X93 @ X94)=>(epred1_0 @ X93 @ X94)))&(X93 @ Z0))))) @ esk3_0))|~((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X95:$i > $o]:((![X96:$i]:(((X95 @ X96)=>(epred1_0 @ X95 @ X96)))&(X95 @ Z0))))) @ X5)))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.21/0.51  thf(c_0_18, negated_conjecture, ![X2:$i > $o, X4:$i > $o, X3:$i]:(((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X97:$i > $o]:((![X98:$i]:(((X97 @ X98)=>(epred1_0 @ X97 @ X98)))&(X97 @ Z0))))) @ X3)|~((epred1_0 @ X2 @ (esk2_2 @ X4 @ X2)))|~((X2 @ (esk1_1 @ X4)))|~((epred1_0 @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.21/0.51  thf(c_0_19, negated_conjecture, ![X2:$i > $o, X4:$i > $o, X3:$i]:(((X2 @ (esk2_2 @ X4 @ X2))|(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X99:$i > $o]:((![X100:$i]:(((X99 @ X100)=>(epred1_0 @ X99 @ X100)))&(X99 @ Z0))))) @ X3)|~((X2 @ (esk1_1 @ X4)))|~((epred1_0 @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.21/0.51  thf(c_0_20, negated_conjecture, ((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X101:$i > $o]:((![X102:$i]:(((X101 @ X102)=>(epred1_0 @ X101 @ X102)))&(X101 @ Z0))))) @ esk3_0)|(epred2_0 @ (esk1_1 @ epred2_0))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 0.21/0.51  thf(c_0_21, negated_conjecture, ~((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X103:$i > $o]:((![X104:$i]:(((X103 @ X104)=>(epred1_0 @ X103 @ X104)))&(X103 @ Z0))))) @ esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_17]), c_0_10])])).
% 0.21/0.51  thf(c_0_22, negated_conjecture, ![X2:$i > $o, X3:$i]:(((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X105:$i > $o]:((![X106:$i]:(((X105 @ X106)=>(epred1_0 @ X105 @ X106)))&(X105 @ Z0))))) @ X3)|~((epred2_0 @ (esk1_1 @ X2)))|~((epred1_0 @ X2 @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_13]), c_0_19])).
% 0.21/0.51  thf(c_0_23, negated_conjecture, (epred2_0 @ (esk1_1 @ epred2_0)), inference(sr,[status(thm)],[c_0_20, c_0_21])).
% 0.21/0.51  thf(c_0_24, negated_conjecture, ![X3:$i]:(((epred1_0 @ (^[Z0/* 5 */:$i]:(?[X107:$i > $o]:((![X108:$i]:(((X107 @ X108)=>(epred1_0 @ X107 @ X108)))&(X107 @ Z0))))) @ X3)|~((epred1_0 @ epred2_0 @ X3)))), inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 0.21/0.51  thf(c_0_25, negated_conjecture, ~((epred1_0 @ epred2_0 @ esk3_0)), inference(spm,[status(thm)],[c_0_21, c_0_24])).
% 0.21/0.51  thf(c_0_26, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_13]), c_0_16])]), ['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                      : 10
% 0.21/0.51  # Removed in clause preprocessing      : 0
% 0.21/0.51  # Initial clauses in saturation        : 10
% 0.21/0.51  # Processed clauses                    : 63
% 0.21/0.51  # ...of these trivial                  : 1
% 0.21/0.51  # ...subsumed                          : 6
% 0.21/0.51  # ...remaining for further processing  : 56
% 0.21/0.51  # Other redundant clauses eliminated   : 15
% 0.21/0.51  # Clauses deleted for lack of memory   : 0
% 0.21/0.51  # Backward-subsumed                    : 2
% 0.21/0.51  # Backward-rewritten                   : 5
% 0.21/0.51  # Generated clauses                    : 132
% 0.21/0.51  # ...of the previous two non-redundant : 100
% 0.21/0.51  # ...aggressively subsumed             : 0
% 0.21/0.51  # Contextual simplify-reflections      : 3
% 0.21/0.51  # Paramodulations                      : 83
% 0.21/0.51  # Factorizations                       : 0
% 0.21/0.51  # NegExts                              : 1
% 0.21/0.51  # Equation resolutions                 : 15
% 0.21/0.51  # Disequality decompositions           : 0
% 0.21/0.51  # Total rewrite steps                  : 20
% 0.21/0.51  # ...of those cached                   : 13
% 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  : 35
% 0.21/0.51  #    Positive orientable unit clauses  : 7
% 0.21/0.51  #    Positive unorientable unit clauses: 0
% 0.21/0.51  #    Negative unit clauses             : 5
% 0.21/0.51  #    Non-unit-clauses                  : 23
% 0.21/0.51  # Current number of unprocessed clauses: 48
% 0.21/0.51  # ...number of literals in the above   : 181
% 0.21/0.51  # Current number of archived formulas  : 0
% 0.21/0.51  # Current number of archived clauses   : 21
% 0.21/0.51  # Clause-clause subsumption calls (NU) : 317
% 0.21/0.51  # Rec. Clause-clause subsumption calls : 216
% 0.21/0.51  # Non-unit clause-clause subsumptions  : 6
% 0.21/0.51  # Unit Clause-clause subsumption calls : 17
% 0.21/0.51  # Rewrite failures with RHS unbound    : 0
% 0.21/0.51  # BW rewrite match attempts            : 5
% 0.21/0.51  # BW rewrite match successes           : 5
% 0.21/0.51  # Condensation attempts                : 0
% 0.21/0.51  # Condensation successes               : 0
% 0.21/0.51  # Termbank termtop insertions          : 18172
% 0.21/0.51  # Search garbage collected termcells   : 615
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.007 s
% 0.21/0.51  # System time              : 0.003 s
% 0.21/0.51  # Total time               : 0.010 s
% 0.21/0.51  # Maximum resident set size: 1908 pages
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.018 s
% 0.21/0.51  # System time              : 0.010 s
% 0.21/0.51  # Total time               : 0.028 s
% 0.21/0.51  # Maximum resident set size: 1720 pages
% 0.21/0.51  % E---3.1 exiting
% 0.21/0.51  % E exiting
%------------------------------------------------------------------------------