%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ047^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 08:20:32 AM UTC 2026
% Result : Theorem 0.09s 0.27s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ047^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n003.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:23:28 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.l7V1ZH6HLu/E---3.1_2486166.p
% 0.09/0.27 % Version: 3.5.1-ho
% 0.09/0.27 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.09/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.27 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.27 % Starting full_lambda_5 with 300s (1) cores
% 0.09/0.27 % Starting new_ho_10_unif with 300s (1) cores
% 0.09/0.27 % new_ho_10 with pid 2486181 completed with status 0
% 0.09/0.27 % Result found by new_ho_10
% 0.09/0.27 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.09/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.27 % No SInE strategy applied
% 0.09/0.27 % Search class: HHUNF-FFMF11-SFFFFFNN
% 0.09/0.27 % partial match(1): HHUNF-FFSF11-SFFFFFNN
% 0.09/0.27 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.27 % Starting SubtermCWHack with 151s (1) cores
% 0.09/0.27 % Starting new_ho_10 with 901s (1) cores
% 0.09/0.27 % Starting sh5l with 151s (1) cores
% 0.09/0.27 % Starting new_bool_1 with 151s (1) cores
% 0.09/0.27 % Starting new_bool_2 with 146s (1) cores
% 0.09/0.27 % SubtermCWHack with pid 2486185 completed with status 0
% 0.09/0.27 % Result found by SubtermCWHack
% 0.09/0.27 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.09/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.09/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.27 % No SInE strategy applied
% 0.09/0.27 % Search class: HHUNF-FFMF11-SFFFFFNN
% 0.09/0.27 % partial match(1): HHUNF-FFSF11-SFFFFFNN
% 0.09/0.27 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.27 % Starting SubtermCWHack with 151s (1) cores
% 0.09/0.27 % Preprocessing time : 0.001 s
% 0.09/0.27
% 0.09/0.27 % Proof found!
% 0.09/0.27 % SZS status Theorem
% 0.09/0.27 % SZS output start CNFRefutation
% 0.09/0.27 thf(decl_sort1, type, a: $tType).
% 0.09/0.27 thf(decl_sort2, type, b: $tType).
% 0.09/0.27 thf(decl_23, type, cN: a).
% 0.09/0.27 thf(decl_24, type, cP: a > a > a > a > b > $o).
% 0.09/0.27 thf(decl_25, type, cD: b > b).
% 0.09/0.27 thf(decl_26, type, cS: a).
% 0.09/0.27 thf(decl_27, type, cG: b > b).
% 0.09/0.27 thf(decl_28, type, cW: b > b).
% 0.09/0.27 thf(decl_29, type, cL: b > b).
% 0.09/0.27 thf(decl_30, type, cO: b).
% 0.09/0.27 thf(decl_31, type, epred1_0: $o).
% 0.09/0.27 thf(cTHM100A, conjecture, ((((((((((((((((cP @ cS @ cS @ cS @ cS @ cO)&![X1:b]:(((cP @ cS @ cN @ cS @ cN @ X1)=>(cP @ cN @ cN @ cS @ cN @ (cL @ X1)))))&![X2:b]:(((cP @ cN @ cN @ cS @ cN @ X2)=>(cP @ cS @ cN @ cS @ cN @ (cL @ X2)))))&![X3:b]:(((cP @ cS @ cS @ cN @ cS @ X3)=>(cP @ cN @ cS @ cN @ cS @ (cL @ X3)))))&![X4:b]:(((cP @ cN @ cS @ cN @ cS @ X4)=>(cP @ cS @ cS @ cN @ cS @ (cL @ X4)))))&![X5:b]:(((cP @ cS @ cS @ cS @ cN @ X5)=>(cP @ cN @ cN @ cS @ cN @ (cW @ X5)))))&![X6:b]:(((cP @ cN @ cN @ cS @ cN @ X6)=>(cP @ cS @ cS @ cS @ cN @ (cW @ X6)))))&![X7:b]:(((cP @ cS @ cS @ cN @ cS @ X7)=>(cP @ cN @ cN @ cN @ cS @ (cW @ X7)))))&![X8:b]:(((cP @ cN @ cN @ cN @ cS @ X8)=>(cP @ cS @ cS @ cN @ cS @ (cW @ X8)))))&![X9:a, X10:a, X11:b]:(((cP @ cS @ X9 @ cS @ X10 @ X11)=>(cP @ cN @ X9 @ cN @ X10 @ (cG @ X11)))))&![X12:a, X13:a, X14:b]:(((cP @ cN @ X12 @ cN @ X13 @ X14)=>(cP @ cS @ X12 @ cS @ X13 @ (cG @ X14)))))&![X15:b]:(((cP @ cS @ cN @ cS @ cS @ X15)=>(cP @ cN @ cN @ cS @ cN @ (cD @ X15)))))&![X16:b]:(((cP @ cN @ cN @ cS @ cN @ X16)=>(cP @ cS @ cN @ cS @ cS @ (cD @ X16)))))&![X17:b]:(((cP @ cS @ cS @ cN @ cS @ X17)=>(cP @ cN @ cS @ cN @ cN @ (cD @ X17)))))&![X18:b]:(((cP @ cN @ cS @ cN @ cN @ X18)=>(cP @ cS @ cS @ cN @ cS @ (cD @ X18)))))=>?[X19:b]:((cP @ cN @ cN @ cN @ cN @ X19))), file('/export/starexec/sandbox/tmp/tmp.l7V1ZH6HLu/E---3.1_2486166.p', cTHM100A)).
% 0.09/0.27 thf(c_0_1, plain, ((epred1_0)<=>(((((((((((((((cP @ cS @ cS @ cS @ cS @ cO)&![X1:b]:(((cP @ cS @ cN @ cS @ cN @ X1)=>(cP @ cN @ cN @ cS @ cN @ (cL @ X1)))))&![X2:b]:(((cP @ cN @ cN @ cS @ cN @ X2)=>(cP @ cS @ cN @ cS @ cN @ (cL @ X2)))))&![X3:b]:(((cP @ cS @ cS @ cN @ cS @ X3)=>(cP @ cN @ cS @ cN @ cS @ (cL @ X3)))))&![X4:b]:(((cP @ cN @ cS @ cN @ cS @ X4)=>(cP @ cS @ cS @ cN @ cS @ (cL @ X4)))))&![X5:b]:(((cP @ cS @ cS @ cS @ cN @ X5)=>(cP @ cN @ cN @ cS @ cN @ (cW @ X5)))))&![X6:b]:(((cP @ cN @ cN @ cS @ cN @ X6)=>(cP @ cS @ cS @ cS @ cN @ (cW @ X6)))))&![X7:b]:(((cP @ cS @ cS @ cN @ cS @ X7)=>(cP @ cN @ cN @ cN @ cS @ (cW @ X7)))))&![X8:b]:(((cP @ cN @ cN @ cN @ cS @ X8)=>(cP @ cS @ cS @ cN @ cS @ (cW @ X8)))))&![X9:a, X10:a, X11:b]:(((cP @ cS @ X9 @ cS @ X10 @ X11)=>(cP @ cN @ X9 @ cN @ X10 @ (cG @ X11)))))&![X12:a, X13:a, X14:b]:(((cP @ cN @ X12 @ cN @ X13 @ X14)=>(cP @ cS @ X12 @ cS @ X13 @ (cG @ X14)))))&![X15:b]:(((cP @ cS @ cN @ cS @ cS @ X15)=>(cP @ cN @ cN @ cS @ cN @ (cD @ X15)))))&![X16:b]:(((cP @ cN @ cN @ cS @ cN @ X16)=>(cP @ cS @ cN @ cS @ cS @ (cD @ X16)))))&![X17:b]:(((cP @ cS @ cS @ cN @ cS @ X17)=>(cP @ cN @ cS @ cN @ cN @ (cD @ X17)))))&![X18:b]:(((cP @ cN @ cS @ cN @ cN @ X18)=>(cP @ cS @ cS @ cN @ cS @ (cD @ X18)))))), introduced(definition)).
% 0.09/0.27 thf(c_0_2, negated_conjecture, ~(((((((((((((((((cP @ cS @ cS @ cS @ cS @ cO)&![X1:b]:(((cP @ cS @ cN @ cS @ cN @ X1)=>(cP @ cN @ cN @ cS @ cN @ (cL @ X1)))))&![X2:b]:(((cP @ cN @ cN @ cS @ cN @ X2)=>(cP @ cS @ cN @ cS @ cN @ (cL @ X2)))))&![X3:b]:(((cP @ cS @ cS @ cN @ cS @ X3)=>(cP @ cN @ cS @ cN @ cS @ (cL @ X3)))))&![X4:b]:(((cP @ cN @ cS @ cN @ cS @ X4)=>(cP @ cS @ cS @ cN @ cS @ (cL @ X4)))))&![X5:b]:(((cP @ cS @ cS @ cS @ cN @ X5)=>(cP @ cN @ cN @ cS @ cN @ (cW @ X5)))))&![X6:b]:(((cP @ cN @ cN @ cS @ cN @ X6)=>(cP @ cS @ cS @ cS @ cN @ (cW @ X6)))))&![X7:b]:(((cP @ cS @ cS @ cN @ cS @ X7)=>(cP @ cN @ cN @ cN @ cS @ (cW @ X7)))))&![X8:b]:(((cP @ cN @ cN @ cN @ cS @ X8)=>(cP @ cS @ cS @ cN @ cS @ (cW @ X8)))))&![X9:a, X10:a, X11:b]:(((cP @ cS @ X9 @ cS @ X10 @ X11)=>(cP @ cN @ X9 @ cN @ X10 @ (cG @ X11)))))&![X12:a, X13:a, X14:b]:(((cP @ cN @ X12 @ cN @ X13 @ X14)=>(cP @ cS @ X12 @ cS @ X13 @ (cG @ X14)))))&![X15:b]:(((cP @ cS @ cN @ cS @ cS @ X15)=>(cP @ cN @ cN @ cS @ cN @ (cD @ X15)))))&![X16:b]:(((cP @ cN @ cN @ cS @ cN @ X16)=>(cP @ cS @ cN @ cS @ cS @ (cD @ X16)))))&![X17:b]:(((cP @ cS @ cS @ cN @ cS @ X17)=>(cP @ cN @ cS @ cN @ cN @ (cD @ X17)))))&![X18:b]:(((cP @ cN @ cS @ cN @ cN @ X18)=>(cP @ cS @ cS @ cN @ cS @ (cD @ X18)))))=>?[X19:b]:((cP @ cN @ cN @ cN @ cN @ X19)))), inference(assume_negation,[status(cth)],[cTHM100A])).
% 0.09/0.27 thf(c_0_3, plain, ((epred1_0)=>(((((((((((((((cP @ cS @ cS @ cS @ cS @ cO)&![X1:b]:(((cP @ cS @ cN @ cS @ cN @ X1)=>(cP @ cN @ cN @ cS @ cN @ (cL @ X1)))))&![X2:b]:(((cP @ cN @ cN @ cS @ cN @ X2)=>(cP @ cS @ cN @ cS @ cN @ (cL @ X2)))))&![X3:b]:(((cP @ cS @ cS @ cN @ cS @ X3)=>(cP @ cN @ cS @ cN @ cS @ (cL @ X3)))))&![X4:b]:(((cP @ cN @ cS @ cN @ cS @ X4)=>(cP @ cS @ cS @ cN @ cS @ (cL @ X4)))))&![X5:b]:(((cP @ cS @ cS @ cS @ cN @ X5)=>(cP @ cN @ cN @ cS @ cN @ (cW @ X5)))))&![X6:b]:(((cP @ cN @ cN @ cS @ cN @ X6)=>(cP @ cS @ cS @ cS @ cN @ (cW @ X6)))))&![X7:b]:(((cP @ cS @ cS @ cN @ cS @ X7)=>(cP @ cN @ cN @ cN @ cS @ (cW @ X7)))))&![X8:b]:(((cP @ cN @ cN @ cN @ cS @ X8)=>(cP @ cS @ cS @ cN @ cS @ (cW @ X8)))))&![X9:a, X10:a, X11:b]:(((cP @ cS @ X9 @ cS @ X10 @ X11)=>(cP @ cN @ X9 @ cN @ X10 @ (cG @ X11)))))&![X12:a, X13:a, X14:b]:(((cP @ cN @ X12 @ cN @ X13 @ X14)=>(cP @ cS @ X12 @ cS @ X13 @ (cG @ X14)))))&![X15:b]:(((cP @ cS @ cN @ cS @ cS @ X15)=>(cP @ cN @ cN @ cS @ cN @ (cD @ X15)))))&![X16:b]:(((cP @ cN @ cN @ cS @ cN @ X16)=>(cP @ cS @ cN @ cS @ cS @ (cD @ X16)))))&![X17:b]:(((cP @ cS @ cS @ cN @ cS @ X17)=>(cP @ cN @ cS @ cN @ cN @ (cD @ X17)))))&![X18:b]:(((cP @ cN @ cS @ cN @ cN @ X18)=>(cP @ cS @ cS @ cN @ cS @ (cD @ X18)))))), inference(split_equiv,[status(thm)],[c_0_1])).
% 0.09/0.27 thf(c_0_4, negated_conjecture, ~(((epred1_0)=>?[X19:b]:((cP @ cN @ cN @ cN @ cN @ X19)))), inference(apply_def,[status(thm)],[c_0_2, c_0_1])).
% 0.09/0.27 thf(c_0_5, plain, ![X40:b, X41:b, X42:b, X43:b, X44:b, X45:b, X46:b, X47:b, X48:a, X49:a, X50:b, X51:a, X52:a, X53:b, X54:b, X55:b, X56:b, X57:b]:(((((((((((((((((cP @ cS @ cS @ cS @ cS @ cO)|~(epred1_0))&(~(cP @ cS @ cN @ cS @ cN @ X40)|(cP @ cN @ cN @ cS @ cN @ (cL @ X40))|~(epred1_0)))&(~(cP @ cN @ cN @ cS @ cN @ X41)|(cP @ cS @ cN @ cS @ cN @ (cL @ X41))|~(epred1_0)))&(~(cP @ cS @ cS @ cN @ cS @ X42)|(cP @ cN @ cS @ cN @ cS @ (cL @ X42))|~(epred1_0)))&(~(cP @ cN @ cS @ cN @ cS @ X43)|(cP @ cS @ cS @ cN @ cS @ (cL @ X43))|~(epred1_0)))&(~(cP @ cS @ cS @ cS @ cN @ X44)|(cP @ cN @ cN @ cS @ cN @ (cW @ X44))|~(epred1_0)))&(~(cP @ cN @ cN @ cS @ cN @ X45)|(cP @ cS @ cS @ cS @ cN @ (cW @ X45))|~(epred1_0)))&(~(cP @ cS @ cS @ cN @ cS @ X46)|(cP @ cN @ cN @ cN @ cS @ (cW @ X46))|~(epred1_0)))&(~(cP @ cN @ cN @ cN @ cS @ X47)|(cP @ cS @ cS @ cN @ cS @ (cW @ X47))|~(epred1_0)))&(~(cP @ cS @ X48 @ cS @ X49 @ X50)|(cP @ cN @ X48 @ cN @ X49 @ (cG @ X50))|~(epred1_0)))&(~(cP @ cN @ X51 @ cN @ X52 @ X53)|(cP @ cS @ X51 @ cS @ X52 @ (cG @ X53))|~(epred1_0)))&(~(cP @ cS @ cN @ cS @ cS @ X54)|(cP @ cN @ cN @ cS @ cN @ (cD @ X54))|~(epred1_0)))&(~(cP @ cN @ cN @ cS @ cN @ X55)|(cP @ cS @ cN @ cS @ cS @ (cD @ X55))|~(epred1_0)))&(~(cP @ cS @ cS @ cN @ cS @ X56)|(cP @ cN @ cS @ cN @ cN @ (cD @ X56))|~(epred1_0)))&(~(cP @ cN @ cS @ cN @ cN @ X57)|(cP @ cS @ cS @ cN @ cS @ (cD @ X57))|~(epred1_0)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])).
% 0.09/0.27 thf(c_0_6, negated_conjecture, ![X39:b]:(((epred1_0)&~(cP @ cN @ cN @ cN @ cN @ X39))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])).
% 0.09/0.27 thf(c_0_7, plain, ![X10:a, X9:a, X1:b]:(((cP @ cN @ X9 @ cN @ X10 @ (cG @ X1))|~((cP @ cS @ X9 @ cS @ X10 @ X1))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.09/0.27 thf(c_0_8, negated_conjecture, (epred1_0), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.09/0.27 thf(c_0_9, negated_conjecture, ![X1:b]:(~((cP @ cN @ cN @ cN @ cN @ X1))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.09/0.27 thf(c_0_10, plain, ![X10:a, X9:a, X1:b]:(((cP @ cN @ X9 @ cN @ X10 @ (cG @ X1))|~((cP @ cS @ X9 @ cS @ X10 @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7, c_0_8])])).
% 0.09/0.27 thf(c_0_11, plain, ![X1:b]:(((cP @ cS @ cN @ cS @ cN @ (cL @ X1))|~((cP @ cN @ cN @ cS @ cN @ X1))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.09/0.27 thf(c_0_12, negated_conjecture, ![X1:b]:(~((cP @ cS @ cN @ cS @ cN @ X1))), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 0.09/0.27 thf(c_0_13, plain, ![X1:b]:(((cP @ cS @ cN @ cS @ cN @ (cL @ X1))|~((cP @ cN @ cN @ cS @ cN @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_8])])).
% 0.09/0.27 thf(c_0_14, plain, ![X1:b]:(((cP @ cN @ cN @ cS @ cN @ (cW @ X1))|~((cP @ cS @ cS @ cS @ cN @ X1))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.09/0.27 thf(c_0_15, plain, ![X1:b]:(~((cP @ cN @ cN @ cS @ cN @ X1))), inference(spm,[status(thm)],[c_0_12, c_0_13])).
% 0.09/0.27 thf(c_0_16, plain, ![X1:b]:(((cP @ cN @ cN @ cS @ cN @ (cW @ X1))|~((cP @ cS @ cS @ cS @ cN @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_8])])).
% 0.09/0.27 thf(c_0_17, plain, ![X10:a, X9:a, X1:b]:(((cP @ cS @ X9 @ cS @ X10 @ (cG @ X1))|~((cP @ cN @ X9 @ cN @ X10 @ X1))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.09/0.27 thf(c_0_18, plain, ![X1:b]:(~((cP @ cS @ cS @ cS @ cN @ X1))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 0.09/0.27 thf(c_0_19, plain, ![X10:a, X9:a, X1:b]:(((cP @ cS @ X9 @ cS @ X10 @ (cG @ X1))|~((cP @ cN @ X9 @ cN @ X10 @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_8])])).
% 0.09/0.27 thf(c_0_20, plain, ![X1:b]:(((cP @ cN @ cS @ cN @ cN @ (cD @ X1))|~((cP @ cS @ cS @ cN @ cS @ X1))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.09/0.27 thf(c_0_21, plain, ![X1:b]:(~((cP @ cN @ cS @ cN @ cN @ X1))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 0.09/0.27 thf(c_0_22, plain, ![X1:b]:(((cP @ cN @ cS @ cN @ cN @ (cD @ X1))|~((cP @ cS @ cS @ cN @ cS @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_8])])).
% 0.09/0.27 thf(c_0_23, plain, ![X1:b]:(((cP @ cS @ cS @ cN @ cS @ (cL @ X1))|~((cP @ cN @ cS @ cN @ cS @ X1))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.09/0.27 thf(c_0_24, plain, ![X1:b]:(~((cP @ cS @ cS @ cN @ cS @ X1))), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 0.09/0.27 thf(c_0_25, plain, ![X1:b]:(((cP @ cS @ cS @ cN @ cS @ (cL @ X1))|~((cP @ cN @ cS @ cN @ cS @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_8])])).
% 0.09/0.27 thf(c_0_26, plain, ((cP @ cS @ cS @ cS @ cS @ cO)|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.09/0.27 thf(c_0_27, plain, ![X1:b]:(~((cP @ cN @ cS @ cN @ cS @ X1))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 0.09/0.27 thf(c_0_28, plain, (cP @ cS @ cS @ cS @ cS @ cO), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_8])])).
% 0.09/0.27 thf(c_0_29, plain, ![X1:b]:(~((cP @ cS @ cS @ cS @ cS @ X1))), inference(spm,[status(thm)],[c_0_27, c_0_10])).
% 0.09/0.27 thf(c_0_30, plain, ($false), inference(sr,[status(thm)],[c_0_28, c_0_29]), ['proof']).
% 0.09/0.27 % SZS output end CNFRefutation
% 0.09/0.27 % Parsed axioms : 11
% 0.09/0.27 % Removed by relevancy pruning/SinE : 0
% 0.09/0.27 % Initial clauses : 27
% 0.09/0.27 % Removed in clause preprocessing : 10
% 0.09/0.27 % Initial clauses in saturation : 17
% 0.09/0.27 % Processed clauses : 29
% 0.09/0.27 % ...of these trivial : 0
% 0.09/0.27 % ...subsumed : 3
% 0.09/0.27 % ...remaining for further processing : 26
% 0.09/0.27 % Other redundant clauses eliminated : 0
% 0.09/0.27 % Clauses deleted for lack of memory : 0
% 0.09/0.27 % Backward-subsumed : 12
% 0.09/0.27 % Backward-rewritten : 0
% 0.09/0.27 % Generated clauses : 15
% 0.09/0.27 % ...of the previous two non-redundant : 13
% 0.09/0.27 % ...aggressively subsumed : 0
% 0.09/0.27 % Contextual simplify-reflections : 0
% 0.09/0.27 % Paramodulations : 14
% 0.09/0.27 % Factorizations : 0
% 0.09/0.27 % NegExts : 0
% 0.09/0.27 % Equation resolutions : 0
% 0.09/0.27 % Disequality decompositions : 0
% 0.09/0.27 % Total rewrite steps : 15
% 0.09/0.27 % ...of those cached : 14
% 0.09/0.27 % Propositional unsat checks : 0
% 0.09/0.27 % Propositional check models : 0
% 0.09/0.27 % Propositional check unsatisfiable : 0
% 0.09/0.27 % Propositional clauses : 0
% 0.09/0.27 % Propositional clauses after purity: 0
% 0.09/0.27 % Propositional unsat core size : 0
% 0.09/0.27 % Propositional preprocessing time : 0.000
% 0.09/0.27 % Propositional encoding time : 0.000
% 0.09/0.27 % Propositional solver time : 0.000
% 0.09/0.27 % Success case prop preproc time : 0.000
% 0.09/0.27 % Success case prop encoding time : 0.000
% 0.09/0.27 % Success case prop solver time : 0.000
% 0.09/0.27 % Current number of processed clauses : 13
% 0.09/0.27 % Positive orientable unit clauses : 1
% 0.09/0.27 % Positive unorientable unit clauses: 0
% 0.09/0.27 % Negative unit clauses : 10
% 0.09/0.27 % Non-unit-clauses : 2
% 0.09/0.27 % Current number of unprocessed clauses: 0
% 0.09/0.27 % ...number of literals in the above : 0
% 0.09/0.27 % Current number of archived formulas : 0
% 0.09/0.27 % Current number of archived clauses : 13
% 0.09/0.27 % Clause-clause subsumption calls (NU) : 8
% 0.09/0.27 % Rec. Clause-clause subsumption calls : 8
% 0.09/0.27 % Non-unit clause-clause subsumptions : 0
% 0.09/0.27 % Unit Clause-clause subsumption calls : 30
% 0.09/0.27 % Rewrite failures with RHS unbound : 0
% 0.09/0.27 % BW rewrite match attempts : 0
% 0.09/0.27 % BW rewrite match successes : 0
% 0.09/0.27 % Condensation attempts : 0
% 0.09/0.27 % Condensation successes : 0
% 0.09/0.27 % Termbank termtop insertions : 2543
% 0.09/0.27 % Search garbage collected termcells : 401
% 0.09/0.27
% 0.09/0.27 % -------------------------------------------------
% 0.09/0.27 % User time : 0.003 s
% 0.09/0.27 % System time : 0.004 s
% 0.09/0.27 % Total time : 0.007 s
% 0.09/0.27 % Maximum resident set size: 3656 pages
% 0.09/0.27
% 0.09/0.27 % -------------------------------------------------
% 0.09/0.27 % User time : 0.008 s
% 0.09/0.27 % System time : 0.012 s
% 0.09/0.27 % Total time : 0.020 s
% 0.09/0.27 % Maximum resident set size: 4608 pages
% 0.09/0.27 % E exiting
%------------------------------------------------------------------------------