%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV254^5 : 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 : n011.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 08:35:17 AM UTC 2026
% Result : Theorem 0.24s 0.30s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV254^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n011.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 15:28:31 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.25 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.oD90LjWosy/E---3.1_220025.p
% 0.24/0.30 % Version: 3.5.1-ho
% 0.24/0.30 % Preprocessing class: HSMSSMSSSSMNHHA.
% 0.24/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.30 % Starting ehoh_best4_fo with 1200s (4) cores
% 0.24/0.30 % Starting ehoh_best_nonlift_rwall with 600s (2) cores
% 0.24/0.30 % Starting lpo1_lambda_fix with 300s (1) cores
% 0.24/0.30 % Starting full_lambda_9 with 300s (1) cores
% 0.24/0.30 % full_lambda_9 with pid 220041 completed with status 0
% 0.24/0.30 % Result found by full_lambda_9
% 0.24/0.30 % Preprocessing class: HSMSSMSSSSMNHHA.
% 0.24/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.30 % Starting ehoh_best4_fo with 1200s (4) cores
% 0.24/0.30 % Starting ehoh_best_nonlift_rwall with 600s (2) cores
% 0.24/0.30 % Starting lpo1_lambda_fix with 300s (1) cores
% 0.24/0.30 % Starting full_lambda_9 with 300s (1) cores
% 0.24/0.30 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.24/0.30 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.24/0.30 % Search class: HGHNF-FFSF21-SHHFFMBN
% 0.24/0.30 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.30 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.30 % SubtermCWHack with pid 220049 completed with status 0
% 0.24/0.30 % Result found by SubtermCWHack
% 0.24/0.30 % Preprocessing class: HSMSSMSSSSMNHHA.
% 0.24/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.30 % Starting ehoh_best4_fo with 1200s (4) cores
% 0.24/0.30 % Starting ehoh_best_nonlift_rwall with 600s (2) cores
% 0.24/0.30 % Starting lpo1_lambda_fix with 300s (1) cores
% 0.24/0.30 % Starting full_lambda_9 with 300s (1) cores
% 0.24/0.30 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.24/0.30 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.24/0.30 % Search class: HGHNF-FFSF21-SHHFFMBN
% 0.24/0.30 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.30 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.30 % Preprocessing time : 0.001 s
% 0.24/0.30
% 0.24/0.30 % Proof found!
% 0.24/0.30 % SZS status Theorem
% 0.24/0.30 % SZS output start CNFRefutation
% 0.24/0.30 thf(decl_23, type, epred1_0: ($i > $o) > $i > $o).
% 0.24/0.30 thf(decl_24, type, esk1_1: ($i > $o) > $i).
% 0.24/0.30 thf(decl_25, type, esk2_2: ($i > $o) > ($i > $o) > $i).
% 0.24/0.30 thf(decl_26, type, esk3_0: $i).
% 0.24/0.30 thf(decl_27, type, epred2_0: $i > $o).
% 0.24/0.30 thf(decl_28, type, esk4_0: $i).
% 0.24/0.30 thf(decl_29, type, esk5_1: ($i > $o) > $i).
% 0.24/0.30 thf(decl_30, type, epred3_0: $i > $o).
% 0.24/0.30 thf(decl_31, type, epred4_0: $i > $o).
% 0.24/0.30 thf(decl_32, type, epred5_1: $i > $i > $o).
% 0.24/0.30 thf(decl_33, type, esk6_2: $i > ($i > $o) > $i).
% 0.24/0.30 thf(cTHM2C_pme, conjecture, ![X1:($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)<=>?[X4:$i > $o]:((![X3:$i]:(((X4 @ X3)=>(X1 @ X4 @ X3)))&(X4 @ X9))))))), file('/export/starexec/sandbox2/tmp/tmp.oD90LjWosy/E---3.1_220025.p', cTHM2C_pme)).
% 0.24/0.30 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:$i]:(((X1 @ X2 @ X3)=>(X1 @ (^[X5:$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)<=>?[X4:$i > $o]:((![X3:$i]:(((X4 @ X3)=>(X1 @ X4 @ X3)))&(X4 @ X9)))))))), inference(assume_negation,[status(cth)],[cTHM2C_pme])).
% 0.24/0.30 thf(c_0_2, 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:$i]:(((X1 @ X2 @ X3)=>(X1 @ (^[Z0:$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:$i]:(?[X4:$i > $o]:(((![X5:$i]:(((X4 @ X5)=>(X1 @ X4 @ X5))))&(X4 @ Z0))))) @ X7)))=>![X8:$i]:(((X1 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X5:$i]:(((X4 @ X5)=>(X1 @ X4 @ X5))))&(X4 @ Z0))))) @ X8)=>(X1 @ (X1 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X5:$i]:(((X4 @ X5)=>(X1 @ X4 @ X5))))&(X4 @ Z0)))))) @ X8)))))=>![X9:$i]:(((X1 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X5:$i]:(((X4 @ X5)=>(X1 @ X4 @ X5))))&(X4 @ Z0))))) @ X9)<=>?[X4:$i > $o]:((![X3:$i]:(((X4 @ X3)=>(X1 @ X4 @ X3)))&(X4 @ X9)))))))), inference(fof_simplification,[status(thm)],[c_0_1])).
% 0.24/0.30 thf(c_0_3, negated_conjecture, ![X24:$i > $o, X26:$i > $o, X28:$i, X31:$i, X32:$i, X34:$i > $o, X37:$i]:((((((X24 @ (esk1_1 @ X24))|(~(epred1_0 @ X24 @ X28)|(epred1_0 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X6:$i]:(((X4 @ X6)=>(epred1_0 @ X4 @ X6))))&(X4 @ Z0))))) @ X28)))&(((X26 @ (esk2_2 @ X24 @ X26))|~(X26 @ (esk1_1 @ X24))|(~(epred1_0 @ X24 @ X28)|(epred1_0 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X6:$i]:(((X4 @ X6)=>(epred1_0 @ X4 @ X6))))&(X4 @ Z0))))) @ X28)))&(~(epred1_0 @ X26 @ (esk2_2 @ X24 @ X26))|~(X26 @ (esk1_1 @ X24))|(~(epred1_0 @ X24 @ X28)|(epred1_0 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X6:$i]:(((X4 @ X6)=>(epred1_0 @ X4 @ X6))))&(X4 @ Z0))))) @ X28)))))&(((~(epred2_0 @ X31)|(epred1_0 @ epred2_0 @ X31)|(~(epred1_0 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X5:$i]:(((X4 @ X5)=>(epred1_0 @ X4 @ X5))))&(X4 @ Z0))))) @ X32)|(epred1_0 @ (epred1_0 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X5:$i]:(((X4 @ X5)=>(epred1_0 @ X4 @ X5))))&(X4 @ Z0)))))) @ X32)))&((epred2_0 @ esk3_0)|(~(epred1_0 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X5:$i]:(((X4 @ X5)=>(epred1_0 @ X4 @ X5))))&(X4 @ Z0))))) @ X32)|(epred1_0 @ (epred1_0 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X5:$i]:(((X4 @ X5)=>(epred1_0 @ X4 @ X5))))&(X4 @ Z0)))))) @ X32))))&(~(epred1_0 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X5:$i]:(((X4 @ X5)=>(epred1_0 @ X4 @ X5))))&(X4 @ Z0))))) @ esk3_0)|(~(epred1_0 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X5:$i]:(((X4 @ X5)=>(epred1_0 @ X4 @ X5))))&(X4 @ Z0))))) @ X32)|(epred1_0 @ (epred1_0 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X5:$i]:(((X4 @ X5)=>(epred1_0 @ X4 @ X5))))&(X4 @ Z0)))))) @ X32)))))&((((X34 @ (esk5_1 @ X34))|~(X34 @ esk4_0)|~(epred1_0 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X5:$i]:(((X4 @ X5)=>(epred1_0 @ X4 @ X5))))&(X4 @ Z0))))) @ esk4_0))&(~(epred1_0 @ X34 @ (esk5_1 @ X34))|~(X34 @ esk4_0)|~(epred1_0 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X5:$i]:(((X4 @ X5)=>(epred1_0 @ X4 @ X5))))&(X4 @ Z0))))) @ esk4_0)))&((~(epred3_0 @ X37)|(epred1_0 @ epred3_0 @ X37)|(epred1_0 @ (^[Z0:$i]:(?[X4:$i > $o]:(((![X5:$i]:(((X4 @ X5)=>(epred1_0 @ X4 @ X5))))&(X4 @ Z0))))) @ esk4_0))&((epred3_0 @ esk4_0)|(epred1_0 @ (^[Z0:$i]:(?[X4:$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_2])])])])])])).
% 0.24/0.30 thf(c_0_4, plain, ![X40:$i]:(((epred4_0 @ X40)<=>?[X38:$i > $o]:((![X39:$i]:(((X38 @ X39)=>(epred1_0 @ X38 @ X39)))&(X38 @ X40))))), introduced(definition)).
% 0.24/0.30 thf(c_0_5, negated_conjecture, ![X2:$i > $o]:((~((epred1_0 @ X2 @ (esk5_1 @ X2)))|~((X2 @ esk4_0))|~((((epred1_0 @ epred4_0 @ esk4_0))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])).
% 0.24/0.30 thf(c_0_6, negated_conjecture, ![X5:$i]:(((epred2_0 @ esk3_0)|(((epred1_0 @ (epred1_0 @ epred4_0) @ X5))=(($true)))|~((((epred1_0 @ epred4_0 @ X5))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_4])).
% 0.24/0.30 thf(c_0_7, plain, ![X80:$i, X82:$i, X83:$i > $o]:((((~(epred5_1 @ X80 @ X82)|(epred1_0 @ (epred5_1 @ X80) @ X82)|~(epred4_0 @ X80))&((epred5_1 @ X80 @ X80)|~(epred4_0 @ X80)))&(((X83 @ (esk6_2 @ X80 @ X83))|~(X83 @ X80)|(epred4_0 @ X80))&(~(epred1_0 @ X83 @ (esk6_2 @ X80 @ X83))|~(X83 @ X80)|(epred4_0 @ X80))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])])])])).
% 0.24/0.30 thf(c_0_8, negated_conjecture, ![X2:$i > $o]:(((X2 @ (esk5_1 @ X2))|~((X2 @ esk4_0))|~((((epred1_0 @ epred4_0 @ esk4_0))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])).
% 0.24/0.30 thf(c_0_9, negated_conjecture, ![X3:$i, X6:$i]:(((epred1_0 @ epred2_0 @ X3)|(((epred1_0 @ (epred1_0 @ epred4_0) @ X6))=(($true)))|~((epred2_0 @ X3))|~((((epred1_0 @ epred4_0 @ X6))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_4])).
% 0.24/0.30 thf(c_0_10, negated_conjecture, ![X2:$i > $o]:((~((epred1_0 @ X2 @ (esk5_1 @ X2)))|~((epred1_0 @ epred4_0 @ esk4_0))|~((X2 @ esk4_0)))), inference(cn,[status(thm)],[c_0_5])).
% 0.24/0.30 thf(c_0_11, negated_conjecture, ![X3:$i]:(((epred1_0 @ (epred1_0 @ epred4_0) @ X3)|(epred2_0 @ esk3_0)|~((epred1_0 @ epred4_0 @ X3)))), inference(cn,[status(thm)],[c_0_6])).
% 0.24/0.30 thf(c_0_12, plain, ![X5:$i, X3:$i]:(((epred1_0 @ (epred5_1 @ X3) @ X5)|~((epred5_1 @ X3 @ X5))|~((epred4_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.24/0.30 thf(c_0_13, negated_conjecture, ![X2:$i > $o]:(((X2 @ (esk5_1 @ X2))|~((epred1_0 @ epred4_0 @ esk4_0))|~((X2 @ esk4_0)))), inference(cn,[status(thm)],[c_0_8])).
% 0.24/0.30 thf(c_0_14, negated_conjecture, ![X3:$i, X5:$i]:(((epred1_0 @ (epred1_0 @ epred4_0) @ X3)|(epred1_0 @ epred2_0 @ X5)|~((epred1_0 @ epred4_0 @ X3))|~((epred2_0 @ X5)))), inference(cn,[status(thm)],[c_0_9])).
% 0.24/0.30 thf(c_0_15, negated_conjecture, ((epred3_0 @ esk4_0)|(((epred1_0 @ epred4_0 @ esk4_0))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])).
% 0.24/0.30 thf(c_0_16, negated_conjecture, ((epred2_0 @ esk3_0)|~((epred1_0 @ epred4_0 @ (esk5_1 @ (epred1_0 @ epred4_0))))|~((epred1_0 @ epred4_0 @ esk4_0))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 0.24/0.30 thf(c_0_17, plain, ![X3:$i]:((~((epred1_0 @ epred4_0 @ esk4_0))|~((epred5_1 @ X3 @ esk4_0))|~((epred4_0 @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_12]), c_0_13])).
% 0.24/0.30 thf(c_0_18, plain, ![X3:$i]:(((epred5_1 @ X3 @ X3)|~((epred4_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.24/0.30 thf(c_0_19, negated_conjecture, ![X3:$i]:(((epred1_0 @ (epred1_0 @ epred4_0) @ (esk5_1 @ (epred1_0 @ epred4_0)))|(epred1_0 @ epred2_0 @ X3)|~((epred1_0 @ epred4_0 @ esk4_0))|~((epred2_0 @ X3)))), inference(spm,[status(thm)],[c_0_14, c_0_13])).
% 0.24/0.30 thf(c_0_20, negated_conjecture, ((epred1_0 @ epred4_0 @ esk4_0)|(epred3_0 @ esk4_0)), inference(cn,[status(thm)],[c_0_15])).
% 0.24/0.30 thf(c_0_21, negated_conjecture, ((epred2_0 @ esk3_0)|~((epred1_0 @ epred4_0 @ esk4_0))), inference(spm,[status(thm)],[c_0_16, c_0_13])).
% 0.24/0.30 thf(c_0_22, plain, ![X2:$i > $o, X3:$i]:(((X2 @ (esk6_2 @ X3 @ X2))|(epred4_0 @ X3)|~((X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.24/0.30 thf(c_0_23, plain, ![X2:$i > $o, X3:$i]:(((epred4_0 @ X3)|~((epred1_0 @ X2 @ (esk6_2 @ X3 @ X2)))|~((X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.24/0.30 thf(c_0_24, plain, (~((epred1_0 @ epred4_0 @ esk4_0))|~((epred4_0 @ esk4_0))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 0.24/0.30 thf(c_0_25, negated_conjecture, ![X3:$i]:(((epred1_0 @ (epred1_0 @ epred4_0) @ (esk5_1 @ (epred1_0 @ epred4_0)))|(epred1_0 @ epred2_0 @ X3)|(epred3_0 @ esk4_0)|~((epred2_0 @ X3)))), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 0.24/0.30 thf(c_0_26, negated_conjecture, ((epred3_0 @ esk4_0)|(epred2_0 @ esk3_0)), inference(spm,[status(thm)],[c_0_21, c_0_20])).
% 0.24/0.30 thf(c_0_27, negated_conjecture, ![X2:$i > $o, X4:$i > $o, X3:$i]:(((((epred1_0 @ epred4_0 @ X3))=(($true)))|~((epred1_0 @ X2 @ (esk2_2 @ X4 @ X2)))|~((X2 @ (esk1_1 @ X4)))|~((epred1_0 @ X4 @ X3)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])).
% 0.24/0.30 thf(c_0_28, plain, ![X5:$i, X3:$i]:(((epred1_0 @ epred2_0 @ X3)|(epred4_0 @ X5)|~((epred1_0 @ epred4_0 @ X5))|~((epred2_0 @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_22]), c_0_23])).
% 0.24/0.30 thf(c_0_29, negated_conjecture, ((epred3_0 @ esk4_0)|~((epred4_0 @ esk4_0))), inference(spm,[status(thm)],[c_0_24, c_0_20])).
% 0.24/0.30 thf(c_0_30, negated_conjecture, ![X2:$i > $o, X4:$i > $o, X3:$i]:(((X2 @ (esk2_2 @ X4 @ X2))|(((epred1_0 @ epred4_0 @ X3))=(($true)))|~((X2 @ (esk1_1 @ X4)))|~((epred1_0 @ X4 @ X3)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])).
% 0.24/0.30 thf(c_0_31, negated_conjecture, ![X2:$i > $o, X3:$i]:(((X2 @ (esk1_1 @ X2))|(((epred1_0 @ epred4_0 @ X3))=(($true)))|~((epred1_0 @ X2 @ X3)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])).
% 0.24/0.30 thf(c_0_32, negated_conjecture, ((epred1_0 @ (epred1_0 @ epred4_0) @ (esk5_1 @ (epred1_0 @ epred4_0)))|(epred1_0 @ epred2_0 @ esk3_0)|(epred3_0 @ esk4_0)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
% 0.24/0.30 thf(c_0_33, negated_conjecture, ![X5:$i]:(((((epred1_0 @ (epred1_0 @ epred4_0) @ X5))=(($true)))|~((((epred1_0 @ epred4_0 @ esk3_0))=(($true))))|~((((epred1_0 @ epred4_0 @ X5))=(($true)))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_4]), c_0_4])).
% 0.24/0.30 thf(c_0_34, negated_conjecture, ![X2:$i > $o, X3:$i, X4:$i > $o]:(((epred1_0 @ epred4_0 @ X3)|~((epred1_0 @ X2 @ (esk2_2 @ X4 @ X2)))|~((epred1_0 @ X4 @ X3))|~((X2 @ (esk1_1 @ X4))))), inference(cn,[status(thm)],[c_0_27])).
% 0.24/0.30 thf(c_0_35, negated_conjecture, ![X3:$i]:(((epred1_0 @ epred2_0 @ X3)|(epred3_0 @ esk4_0)|~((epred2_0 @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_20]), c_0_29])).
% 0.24/0.30 thf(c_0_36, negated_conjecture, ![X2:$i > $o, X3:$i, X4:$i > $o]:(((epred1_0 @ epred4_0 @ X3)|(X2 @ (esk2_2 @ X4 @ X2))|~((epred1_0 @ X4 @ X3))|~((X2 @ (esk1_1 @ X4))))), inference(cn,[status(thm)],[c_0_30])).
% 0.24/0.30 thf(c_0_37, negated_conjecture, ![X2:$i > $o, X3:$i]:(((epred1_0 @ epred4_0 @ X3)|(X2 @ (esk1_1 @ X2))|~((epred1_0 @ X2 @ X3)))), inference(cn,[status(thm)],[c_0_31])).
% 0.24/0.30 thf(c_0_38, negated_conjecture, ((epred1_0 @ epred2_0 @ esk3_0)|(epred3_0 @ esk4_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_32]), c_0_20])).
% 0.24/0.30 thf(c_0_39, negated_conjecture, ![X3:$i]:(((epred1_0 @ (epred1_0 @ epred4_0) @ X3)|~((epred1_0 @ epred4_0 @ esk3_0))|~((epred1_0 @ epred4_0 @ X3)))), inference(cn,[status(thm)],[c_0_33])).
% 0.24/0.30 thf(c_0_40, negated_conjecture, ![X2:$i > $o, X3:$i]:(((epred1_0 @ epred4_0 @ X3)|(epred3_0 @ esk4_0)|~((epred2_0 @ (esk1_1 @ X2)))|~((epred1_0 @ X2 @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])).
% 0.24/0.30 thf(c_0_41, negated_conjecture, ((epred2_0 @ (esk1_1 @ epred2_0))|(epred1_0 @ epred4_0 @ esk3_0)|(epred3_0 @ esk4_0)), inference(spm,[status(thm)],[c_0_37, c_0_38])).
% 0.24/0.30 thf(c_0_42, negated_conjecture, ![X3:$i]:(((epred1_0 @ epred3_0 @ X3)|(((epred1_0 @ epred4_0 @ esk4_0))=(($true)))|~((epred3_0 @ X3)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4])).
% 0.24/0.30 thf(c_0_43, negated_conjecture, (~((epred1_0 @ epred4_0 @ (esk5_1 @ (epred1_0 @ epred4_0))))|~((epred1_0 @ epred4_0 @ esk4_0))|~((epred1_0 @ epred4_0 @ esk3_0))), inference(spm,[status(thm)],[c_0_10, c_0_39])).
% 0.24/0.30 thf(c_0_44, negated_conjecture, ![X3:$i]:(((epred1_0 @ epred4_0 @ esk3_0)|(epred1_0 @ epred4_0 @ X3)|(epred3_0 @ esk4_0)|~((epred1_0 @ epred2_0 @ X3)))), inference(spm,[status(thm)],[c_0_40, c_0_41])).
% 0.24/0.30 thf(c_0_45, negated_conjecture, ![X3:$i]:(((epred1_0 @ epred4_0 @ esk4_0)|(epred1_0 @ epred3_0 @ X3)|~((epred3_0 @ X3)))), inference(cn,[status(thm)],[c_0_42])).
% 0.24/0.30 thf(c_0_46, negated_conjecture, (~((epred1_0 @ epred4_0 @ esk4_0))|~((epred1_0 @ epred4_0 @ esk3_0))), inference(spm,[status(thm)],[c_0_43, c_0_13])).
% 0.24/0.30 thf(c_0_47, negated_conjecture, ((epred1_0 @ epred4_0 @ esk3_0)|(epred3_0 @ esk4_0)), inference(spm,[status(thm)],[c_0_44, c_0_38])).
% 0.24/0.30 thf(c_0_48, plain, ![X3:$i]:(((epred1_0 @ epred4_0 @ esk4_0)|(epred4_0 @ X3)|~((epred3_0 @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_45]), c_0_22])).
% 0.24/0.30 thf(c_0_49, negated_conjecture, (epred3_0 @ esk4_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_20])).
% 0.24/0.30 thf(c_0_50, plain, ((epred1_0 @ epred4_0 @ esk4_0)|(epred4_0 @ esk4_0)), inference(spm,[status(thm)],[c_0_48, c_0_49])).
% 0.24/0.30 thf(c_0_51, plain, ![X3:$i]:(((epred1_0 @ epred2_0 @ X3)|(epred4_0 @ esk4_0)|~((epred2_0 @ X3)))), inference(spm,[status(thm)],[c_0_28, c_0_50])).
% 0.24/0.30 thf(c_0_52, plain, ![X3:$i]:(((epred2_0 @ esk3_0)|(epred4_0 @ X3)|~((epred1_0 @ epred4_0 @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_11]), c_0_22])).
% 0.24/0.30 thf(c_0_53, negated_conjecture, ![X3:$i]:(((epred2_0 @ (esk1_1 @ epred2_0))|(epred1_0 @ epred4_0 @ X3)|(epred4_0 @ esk4_0)|~((epred2_0 @ X3)))), inference(spm,[status(thm)],[c_0_37, c_0_51])).
% 0.24/0.30 thf(c_0_54, plain, ((epred4_0 @ esk4_0)|(epred2_0 @ esk3_0)), inference(spm,[status(thm)],[c_0_52, c_0_50])).
% 0.24/0.30 thf(c_0_55, negated_conjecture, ![X2:$i > $o, X3:$i]:(((epred1_0 @ epred4_0 @ X3)|(epred4_0 @ esk4_0)|~((epred2_0 @ (esk1_1 @ X2)))|~((epred1_0 @ X2 @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_51]), c_0_36])).
% 0.24/0.30 thf(c_0_56, plain, ((epred1_0 @ epred4_0 @ esk3_0)|(epred2_0 @ (esk1_1 @ epred2_0))|(epred4_0 @ esk4_0)), inference(spm,[status(thm)],[c_0_53, c_0_54])).
% 0.24/0.30 thf(c_0_57, plain, ![X3:$i]:(((epred1_0 @ epred4_0 @ esk3_0)|(epred1_0 @ epred4_0 @ X3)|(epred4_0 @ esk4_0)|~((epred1_0 @ epred2_0 @ X3)))), inference(spm,[status(thm)],[c_0_55, c_0_56])).
% 0.24/0.30 thf(c_0_58, plain, ![X3:$i]:(((epred1_0 @ epred4_0 @ esk3_0)|(epred1_0 @ epred4_0 @ X3)|(epred4_0 @ esk4_0)|~((epred2_0 @ X3)))), inference(spm,[status(thm)],[c_0_57, c_0_51])).
% 0.24/0.30 thf(c_0_59, plain, ((epred1_0 @ epred4_0 @ esk3_0)|(epred4_0 @ esk4_0)), inference(spm,[status(thm)],[c_0_58, c_0_54])).
% 0.24/0.30 thf(c_0_60, negated_conjecture, (epred4_0 @ esk4_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_59]), c_0_50])).
% 0.24/0.30 thf(c_0_61, negated_conjecture, ![X3:$i]:(((epred1_0 @ epred4_0 @ esk4_0)|(epred3_0 @ (esk1_1 @ epred3_0))|(epred1_0 @ epred4_0 @ X3)|~((epred3_0 @ X3)))), inference(spm,[status(thm)],[c_0_37, c_0_45])).
% 0.24/0.30 thf(c_0_62, plain, ~((epred1_0 @ epred4_0 @ esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_60])])).
% 0.24/0.30 thf(c_0_63, negated_conjecture, ((epred3_0 @ (esk1_1 @ epred3_0))|~((epred4_0 @ esk4_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_29]), c_0_24])).
% 0.24/0.30 thf(c_0_64, negated_conjecture, ![X2:$i > $o, X3:$i]:(((epred1_0 @ epred4_0 @ X3)|~((epred3_0 @ (esk1_1 @ X2)))|~((epred1_0 @ X2 @ X3)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_45]), c_0_62]), c_0_36])).
% 0.24/0.30 thf(c_0_65, negated_conjecture, (epred3_0 @ (esk1_1 @ epred3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_60])])).
% 0.24/0.30 thf(c_0_66, negated_conjecture, ![X3:$i]:(((epred1_0 @ epred4_0 @ X3)|~((epred1_0 @ epred3_0 @ X3)))), inference(spm,[status(thm)],[c_0_64, c_0_65])).
% 0.24/0.30 thf(c_0_67, negated_conjecture, ![X3:$i]:(((epred1_0 @ epred4_0 @ X3)|~((epred3_0 @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_45]), c_0_62])).
% 0.24/0.30 thf(c_0_68, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_67]), c_0_49])]), ['proof']).
% 0.24/0.30 % SZS output end CNFRefutation
% 0.24/0.30 % Parsed axioms : 1
% 0.24/0.30 % Removed by relevancy pruning/SinE : 0
% 0.24/0.30 % Initial clauses : 14
% 0.24/0.30 % Removed in clause preprocessing : 0
% 0.24/0.30 % Initial clauses in saturation : 14
% 0.24/0.30 % Processed clauses : 216
% 0.24/0.30 % ...of these trivial : 8
% 0.24/0.30 % ...subsumed : 67
% 0.24/0.30 % ...remaining for further processing : 141
% 0.24/0.30 % Other redundant clauses eliminated : 0
% 0.24/0.30 % Clauses deleted for lack of memory : 0
% 0.24/0.30 % Backward-subsumed : 65
% 0.24/0.30 % Backward-rewritten : 32
% 0.24/0.30 % Generated clauses : 500
% 0.24/0.30 % ...of the previous two non-redundant : 481
% 0.24/0.30 % ...aggressively subsumed : 0
% 0.24/0.30 % Contextual simplify-reflections : 36
% 0.24/0.30 % Paramodulations : 496
% 0.24/0.30 % Factorizations : 0
% 0.24/0.30 % NegExts : 0
% 0.24/0.30 % Equation resolutions : 0
% 0.24/0.30 % Disequality decompositions : 0
% 0.24/0.30 % Total rewrite steps : 46
% 0.24/0.30 % ...of those cached : 39
% 0.24/0.30 % Propositional unsat checks : 0
% 0.24/0.30 % Propositional check models : 0
% 0.24/0.30 % Propositional check unsatisfiable : 0
% 0.24/0.30 % Propositional clauses : 0
% 0.24/0.30 % Propositional clauses after purity: 0
% 0.24/0.30 % Propositional unsat core size : 0
% 0.24/0.30 % Propositional preprocessing time : 0.000
% 0.24/0.30 % Propositional encoding time : 0.000
% 0.24/0.30 % Propositional solver time : 0.000
% 0.24/0.30 % Success case prop preproc time : 0.000
% 0.24/0.30 % Success case prop encoding time : 0.000
% 0.24/0.30 % Success case prop solver time : 0.000
% 0.24/0.30 % Current number of processed clauses : 40
% 0.24/0.30 % Positive orientable unit clauses : 7
% 0.24/0.30 % Positive unorientable unit clauses: 0
% 0.24/0.30 % Negative unit clauses : 1
% 0.24/0.30 % Non-unit-clauses : 32
% 0.24/0.30 % Current number of unprocessed clauses: 205
% 0.24/0.30 % ...number of literals in the above : 1144
% 0.24/0.30 % Current number of archived formulas : 0
% 0.24/0.30 % Current number of archived clauses : 101
% 0.24/0.30 % Clause-clause subsumption calls (NU) : 2185
% 0.24/0.30 % Rec. Clause-clause subsumption calls : 906
% 0.24/0.30 % Non-unit clause-clause subsumptions : 157
% 0.24/0.30 % Unit Clause-clause subsumption calls : 31
% 0.24/0.30 % Rewrite failures with RHS unbound : 0
% 0.24/0.30 % BW rewrite match attempts : 4
% 0.24/0.30 % BW rewrite match successes : 4
% 0.24/0.30 % Condensation attempts : 0
% 0.24/0.30 % Condensation successes : 0
% 0.24/0.30 % Termbank termtop insertions : 13274
% 0.24/0.30 % Search garbage collected termcells : 1024
% 0.24/0.30
% 0.24/0.30 % -------------------------------------------------
% 0.24/0.30 % User time : 0.028 s
% 0.24/0.30 % System time : 0.001 s
% 0.24/0.30 % Total time : 0.029 s
% 0.24/0.30 % Maximum resident set size: 3640 pages
% 0.24/0.30
% 0.24/0.30 % -------------------------------------------------
% 0.24/0.30 % User time : 0.031 s
% 0.24/0.30 % System time : 0.005 s
% 0.24/0.30 % Total time : 0.036 s
% 0.24/0.30 % Maximum resident set size: 4864 pages
% 0.24/0.30 % E exiting
%------------------------------------------------------------------------------