TSTP Solution File: ALG294^5 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ALG294^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 May 20 18:06:02 EDT 2024
% Result : Theorem 0.20s 0.55s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG294^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 23:02:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running higher-order theorem proving
% 0.20/0.48 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
% 0.20/0.55 # Version: 3.1.0-ho
% 0.20/0.55 # Preprocessing class: HSMSSMSSSSMNSSA.
% 0.20/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 # Starting lpo6_lambda_fix with 900s (3) cores
% 0.20/0.55 # Starting post_as_ho3 with 600s (2) cores
% 0.20/0.55 # Starting new_ho_16 with 600s (2) cores
% 0.20/0.55 # Starting full_lambda_1 with 300s (1) cores
% 0.20/0.55 # full_lambda_1 with pid 4921 completed with status 0
% 0.20/0.55 # Result found by full_lambda_1
% 0.20/0.55 # Preprocessing class: HSMSSMSSSSMNSSA.
% 0.20/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 # Starting lpo6_lambda_fix with 900s (3) cores
% 0.20/0.55 # Starting post_as_ho3 with 600s (2) cores
% 0.20/0.55 # Starting new_ho_16 with 600s (2) cores
% 0.20/0.55 # Starting full_lambda_1 with 300s (1) cores
% 0.20/0.55 # No SInE strategy applied
% 0.20/0.55 # Search class: HGHSF-FFMF32-DSSFFMBN
% 0.20/0.55 # partial match(1): HGHSF-FFMF32-SSSFFMBN
% 0.20/0.55 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.55 # Starting new_ho_10 with 55s (1) cores
% 0.20/0.55 # new_ho_10 with pid 4924 completed with status 0
% 0.20/0.55 # Result found by new_ho_10
% 0.20/0.55 # Preprocessing class: HSMSSMSSSSMNSSA.
% 0.20/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 # Starting lpo6_lambda_fix with 900s (3) cores
% 0.20/0.55 # Starting post_as_ho3 with 600s (2) cores
% 0.20/0.55 # Starting new_ho_16 with 600s (2) cores
% 0.20/0.55 # Starting full_lambda_1 with 300s (1) cores
% 0.20/0.55 # No SInE strategy applied
% 0.20/0.55 # Search class: HGHSF-FFMF32-DSSFFMBN
% 0.20/0.55 # partial match(1): HGHSF-FFMF32-SSSFFMBN
% 0.20/0.55 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.55 # Starting new_ho_10 with 55s (1) cores
% 0.20/0.55 # Preprocessing time : 0.002 s
% 0.20/0.55 # Presaturation interreduction done
% 0.20/0.55
% 0.20/0.55 # Proof found!
% 0.20/0.55 # SZS status Theorem
% 0.20/0.55 # SZS output start CNFRefutation
% 0.20/0.55 thf(decl_sort1, type, a: $tType).
% 0.20/0.55 thf(decl_22, type, cR: a > a).
% 0.20/0.55 thf(decl_23, type, cL: a > a).
% 0.20/0.55 thf(decl_24, type, cPSI: (a > $o) > a > $o).
% 0.20/0.55 thf(decl_25, type, cP: a > a > a).
% 0.20/0.55 thf(decl_26, type, cZ: a).
% 0.20/0.55 thf(decl_27, type, cPHI: (a > $o) > a > $o).
% 0.20/0.55 thf(decl_28, type, epred1_0: $o).
% 0.20/0.55 thf(decl_29, type, esk1_1: (a > $o) > a).
% 0.20/0.55 thf(decl_30, type, esk2_2: (a > $o) > a > a).
% 0.20/0.55 thf(decl_31, type, epred2_3: (a > $o) > a > a > a > $o).
% 0.20/0.55 thf(decl_32, type, esk3_3: (a > $o) > a > a > a).
% 0.20/0.55 thf(decl_33, type, esk4_4: (a > $o) > a > a > (a > $o) > a).
% 0.20/0.55 thf(decl_34, type, esk5_4: (a > $o) > a > a > (a > $o) > a).
% 0.20/0.55 thf(decl_35, type, esk6_2: (a > $o) > a > a).
% 0.20/0.55 thf(decl_36, type, epred3_3: (a > $o) > a > a > a > $o).
% 0.20/0.55 thf(decl_37, type, esk7_3: (a > $o) > a > a > a).
% 0.20/0.55 thf(decl_38, type, esk8_4: (a > $o) > a > a > (a > $o) > a).
% 0.20/0.55 thf(decl_39, type, esk9_4: (a > $o) > a > a > (a > $o) > a).
% 0.20/0.55 thf(decl_40, type, esk10_0: a).
% 0.20/0.55 thf(decl_41, type, esk11_0: a).
% 0.20/0.55 thf(decl_42, type, esk12_0: a).
% 0.20/0.55 thf(decl_43, type, esk13_0: a).
% 0.20/0.55 thf(decl_44, type, esk14_0: a).
% 0.20/0.55 thf(decl_45, type, esk15_0: a).
% 0.20/0.55 thf(decl_46, type, esk16_0: a).
% 0.20/0.55 thf(cPU_X2310B_pme, conjecture, ((((((((((cL @ cZ)=(cZ))&((cR @ cZ)=(cZ)))&![X1:a, X2:a]:(((cL @ (cP @ X1 @ X2))=(X1))))&![X1:a, X2:a]:(((cR @ (cP @ X1 @ X2))=(X2))))&![X3:a]:((((X3)!=(cZ))<=>((X3)=(cP @ (cL @ X3) @ (cR @ X3))))))&![X4:a > $o]:((?[X3:a]:(((X4 @ X3)&![X5:a]:(((X4 @ X5)=>(X4 @ (cL @ X5))))))=>(X4 @ cZ))))&![X4:a > $o, X6:a]:(((cPHI @ X4 @ X6)<=>?[X1:a]:((![X7:a]:((![X8:a > $o]:((((X8 @ X1)&![X9:a]:(((X8 @ X9)=>(X8 @ (cL @ X9)))))=>?[X10:a]:(((X8 @ X10)&((cR @ X10)=(X7))))))=>(X4 @ X7)))&(cPHI @ (^[X2:a]:(![X8:a > $o]:((((X8 @ X1)&![X9:a]:(((X8 @ X9)=>(X8 @ (cL @ X9)))))=>?[X10:a]:(((X8 @ X10)&((cR @ X10)=(X2)))))))) @ X6))))))&![X4:a > $o, X6:a]:(((cPSI @ X4 @ X6)<=>?[X1:a]:((![X11:a]:((![X8:a > $o]:((((X8 @ X1)&![X9:a]:(((X8 @ X9)=>(X8 @ (cL @ X9)))))=>?[X10:a]:(((X8 @ X10)&((cR @ X10)=(X11))))))=>(X4 @ X11)))&(cPSI @ (^[X2:a]:(![X8:a > $o]:((((X8 @ X1)&![X9:a]:(((X8 @ X9)=>(X8 @ (cL @ X9)))))=>?[X10:a]:(((X8 @ X10)&((cR @ X10)=(X2)))))))) @ X6))))))=>((^[X5:a]:((((X5)=(cZ))|?[X1:a, X2:a]:((((X5)=(cP @ X1 @ X2))&((cPHI @ (^[X12:a]:(![X4:a > $o]:((((X4 @ X1)&![X6:a]:(((X4 @ X6)=>(X4 @ (cL @ X6)))))=>?[X10:a]:(((X4 @ X10)&((cR @ X10)=(X12)))))))) @ X2)|(cPSI @ (^[X12:a]:(![X4:a > $o]:((((X4 @ X1)&![X6:a]:(((X4 @ X6)=>(X4 @ (cL @ X6)))))=>?[X10:a]:(((X4 @ X10)&((cR @ X10)=(X12)))))))) @ X2)))))))=(^[X6:a]:((((((X6)=(cZ))|?[X1:a, X2:a]:((((X6)=(cP @ X1 @ X2))&(cPHI @ (^[X12:a]:(![X4:a > $o]:((((X4 @ X1)&![X9:a]:(((X4 @ X9)=>(X4 @ (cL @ X9)))))=>?[X10:a]:(((X4 @ X10)&((cR @ X10)=(X12)))))))) @ X2))))|((X6)=(cZ)))|?[X1:a, X2:a]:((((X6)=(cP @ X1 @ X2))&(cPSI @ (^[X12:a]:(![X4:a > $o]:((((X4 @ X1)&![X9:a]:(((X4 @ X9)=>(X4 @ (cL @ X9)))))=>?[X10:a]:(((X4 @ X10)&((cR @ X10)=(X12)))))))) @ X2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cPU_X2310B_pme)).
% 0.20/0.55 thf(c_0_1, plain, ((epred1_0)<=>(((((((((cL @ cZ)=(cZ))&((cR @ cZ)=(cZ)))&![X1:a, X2:a]:(((cL @ (cP @ X1 @ X2))=(X1))))&![X1:a, X2:a]:(((cR @ (cP @ X1 @ X2))=(X2))))&![X3:a]:((((X3)!=(cZ))<=>((X3)=(cP @ (cL @ X3) @ (cR @ X3))))))&![X4:a > $o]:((?[X3:a]:(((X4 @ X3)&![X5:a]:(((X4 @ X5)=>(X4 @ (cL @ X5))))))=>(X4 @ cZ))))&![X4:a > $o, X6:a]:(((cPHI @ X4 @ X6)<=>?[X1:a]:((![X7:a]:((![X8:a > $o]:((((X8 @ X1)&![X9:a]:(((X8 @ X9)=>(X8 @ (cL @ X9)))))=>?[X10:a]:(((X8 @ X10)&((cR @ X10)=(X7))))))=>(X4 @ X7)))&(cPHI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ X1&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X6))))))&![X4:a > $o, X6:a]:(((cPSI @ X4 @ X6)<=>?[X1:a]:((![X11:a]:((![X8:a > $o]:((((X8 @ X1)&![X9:a]:(((X8 @ X9)=>(X8 @ (cL @ X9)))))=>?[X10:a]:(((X8 @ X10)&((cR @ X10)=(X11))))))=>(X4 @ X11)))&(cPSI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ X1&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X6))))))), introduced(definition)).
% 0.20/0.55 thf(c_0_2, negated_conjecture, ~(((epred1_0)=>((^[Z0/* 9 */:a]:((((Z0)=(cZ))|?[X1:a, X2:a]:((((Z0)=(cP @ X1 @ X2))&((cPHI @ (^[Z1/* 6 */:a]:(![X4:a > $o]:(((X4 @ X1&![X6:a]:((X4 @ X6=>X4 @ (cL @ X6))))=>?[X10:a]:((X4 @ X10&((cR @ X10)=(Z1)))))))) @ X2)|(cPSI @ (^[Z1/* 6 */:a]:(![X4:a > $o]:(((X4 @ X1&![X6:a]:((X4 @ X6=>X4 @ (cL @ X6))))=>?[X10:a]:((X4 @ X10&((cR @ X10)=(Z1)))))))) @ X2)))))))=(^[Z0/* 9 */:a]:((((((Z0)=(cZ))|?[X1:a, X2:a]:((((Z0)=(cP @ X1 @ X2))&(cPHI @ (^[Z1/* 6 */:a]:(![X4:a > $o]:(((X4 @ X1&![X9:a]:((X4 @ X9=>X4 @ (cL @ X9))))=>?[X10:a]:((X4 @ X10&((cR @ X10)=(Z1)))))))) @ X2))))|((Z0)=(cZ)))|?[X1:a, X2:a]:((((Z0)=(cP @ X1 @ X2))&(cPSI @ (^[Z1/* 6 */:a]:(![X4:a > $o]:(((X4 @ X1&![X9:a]:((X4 @ X9=>X4 @ (cL @ X9))))=>?[X10:a]:((X4 @ X10&((cR @ X10)=(Z1)))))))) @ X2))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cPU_X2310B_pme])])]), c_0_1])).
% 0.20/0.55 thf(c_0_3, negated_conjecture, ((epred1_0)&((^[Z0/* 9 */:a]:((((Z0)=(cZ))|?[X1:a, X2:a]:((((Z0)=(cP @ X1 @ X2))&((cPHI @ (^[Z1/* 6 */:a]:(![X4:a > $o]:(((X4 @ X1&![X6:a]:((X4 @ X6=>X4 @ (cL @ X6))))=>?[X10:a]:((X4 @ X10&((cR @ X10)=(Z1)))))))) @ X2)|(cPSI @ (^[Z1/* 6 */:a]:(![X4:a > $o]:(((X4 @ X1&![X6:a]:((X4 @ X6=>X4 @ (cL @ X6))))=>?[X10:a]:((X4 @ X10&((cR @ X10)=(Z1)))))))) @ X2)))))))!=(^[Z0/* 9 */:a]:((((((Z0)=(cZ))|?[X1:a, X2:a]:((((Z0)=(cP @ X1 @ X2))&(cPHI @ (^[Z1/* 6 */:a]:(![X4:a > $o]:(((X4 @ X1&![X9:a]:((X4 @ X9=>X4 @ (cL @ X9))))=>?[X10:a]:((X4 @ X10&((cR @ X10)=(Z1)))))))) @ X2))))|((Z0)=(cZ)))|?[X1:a, X2:a]:((((Z0)=(cP @ X1 @ X2))&(cPSI @ (^[Z1/* 6 */:a]:(![X4:a > $o]:(((X4 @ X1&![X9:a]:((X4 @ X9=>X4 @ (cL @ X9))))=>?[X10:a]:((X4 @ X10&((cR @ X10)=(Z1)))))))) @ X2)))))))), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])).
% 0.20/0.55 thf(c_0_4, negated_conjecture, ((^[Z0/* 9 */:a]:((((Z0)=(cZ))|?[X101:a, X102:a]:((((Z0)=(cP @ X101 @ X102))&((cPHI @ (^[Z1/* 6 */:a]:(![X103:a > $o]:((((X103 @ X101)&![X104:a]:(((X103 @ X104)=>(X103 @ (cL @ X104)))))=>?[X105:a]:(((X103 @ X105)&((cR @ X105)=(Z1)))))))) @ X102)|(cPSI @ (^[Z1/* 6 */:a]:(![X106:a > $o]:((((X106 @ X101)&![X107:a]:(((X106 @ X107)=>(X106 @ (cL @ X107)))))=>?[X108:a]:(((X106 @ X108)&((cR @ X108)=(Z1)))))))) @ X102)))))))!=(^[Z0/* 9 */:a]:((((((Z0)=(cZ))|?[X109:a, X110:a]:((((Z0)=(cP @ X109 @ X110))&(cPHI @ (^[Z1/* 6 */:a]:(![X111:a > $o]:((((X111 @ X109)&![X112:a]:(((X111 @ X112)=>(X111 @ (cL @ X112)))))=>?[X113:a]:(((X111 @ X113)&((cR @ X113)=(Z1)))))))) @ X110))))|((Z0)=(cZ)))|?[X114:a, X115:a]:((((Z0)=(cP @ X114 @ X115))&(cPSI @ (^[Z1/* 6 */:a]:(![X116:a > $o]:((((X116 @ X114)&![X117:a]:(((X116 @ X117)=>(X116 @ (cL @ X117)))))=>?[X118:a]:(((X116 @ X118)&((cR @ X118)=(Z1)))))))) @ X115))))))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.20/0.55 thf(c_0_5, negated_conjecture, ((^[Z0/* 9 */:a]:(((?[X119:a, X120:a]:((((Z0)=(cP @ X119 @ X120))&(cPSI @ (^[Z1/* 6 */:a]:(![X121:a > $o]:((((X121 @ X119)&![X122:a]:(((X121 @ X122)=>(X121 @ (cL @ X122)))))=>?[X123:a]:(((X121 @ X123)&((cR @ X123)=(Z1)))))))) @ X120)))|((Z0)=(cZ)))|?[X124:a, X125:a]:((((Z0)=(cP @ X124 @ X125))&(cPHI @ (^[Z1/* 6 */:a]:(![X126:a > $o]:((((X126 @ X124)&![X127:a]:(((X126 @ X127)=>(X126 @ (cL @ X127)))))=>?[X128:a]:(((X126 @ X128)&((cR @ X128)=(Z1)))))))) @ X125))))))!=(^[Z0/* 9 */:a]:((((Z0)=(cZ))|?[X129:a, X130:a]:((((Z0)=(cP @ X129 @ X130))&((cPHI @ (^[Z1/* 6 */:a]:(![X131:a > $o]:((((X131 @ X129)&![X132:a]:(((X131 @ X132)=>(X131 @ (cL @ X132)))))=>?[X133:a]:(((X131 @ X133)&((cR @ X133)=(Z1)))))))) @ X130)|(cPSI @ (^[Z1/* 6 */:a]:(![X134:a > $o]:((((X134 @ X129)&![X135:a]:(((X134 @ X135)=>(X134 @ (cL @ X135)))))=>?[X136:a]:(((X134 @ X136)&((cR @ X136)=(Z1)))))))) @ X130)))))))), inference(cn,[status(thm)],[c_0_4])).
% 0.20/0.55 thf(c_0_6, negated_conjecture, ((?[X137:a, X138:a]:((((esk10_0)=(cP @ X137 @ X138))&(cPSI @ (^[Z0/* 6 */:a]:(![X139:a > $o]:((((X139 @ X137)&![X140:a]:(((X139 @ X140)=>(X139 @ (cL @ X140)))))=>?[X141:a]:(((X139 @ X141)&((cR @ X141)=(Z0)))))))) @ X138)))|((esk10_0)=(cZ))|?[X142:a, X143:a]:((((esk10_0)=(cP @ X142 @ X143))&(cPHI @ (^[Z0/* 6 */:a]:(![X144:a > $o]:((((X144 @ X142)&![X145:a]:(((X144 @ X145)=>(X144 @ (cL @ X145)))))=>?[X146:a]:(((X144 @ X146)&((cR @ X146)=(Z0)))))))) @ X143))))<~>(((esk10_0)=(cZ))|?[X147:a, X148:a]:((((esk10_0)=(cP @ X147 @ X148))&((cPHI @ (^[Z0/* 6 */:a]:(![X149:a > $o]:((((X149 @ X147)&![X150:a]:(((X149 @ X150)=>(X149 @ (cL @ X150)))))=>?[X151:a]:(((X149 @ X151)&((cR @ X151)=(Z0)))))))) @ X148)|(cPSI @ (^[Z0/* 6 */:a]:(![X152:a > $o]:((((X152 @ X147)&![X153:a]:(((X152 @ X153)=>(X152 @ (cL @ X153)))))=>?[X154:a]:(((X152 @ X154)&((cR @ X154)=(Z0)))))))) @ X148)))))), inference(neg_ext,[status(thm)],[c_0_5])).
% 0.20/0.55 thf(c_0_7, negated_conjecture, ((cZ)!=(esk10_0)), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6])])).
% 0.20/0.55 thf(c_0_8, negated_conjecture, ![X1:a, X2:a]:((((cP @ X1 @ X2)!=(esk10_0))|~((cPSI @ (^[Z0/* 6 */:a]:(![X155:a > $o]:((((X155 @ X1)&![X156:a]:(((X155 @ X156)=>(X155 @ (cL @ X156)))))=>?[X157:a]:(((X155 @ X157)&((cR @ X157)=(Z0)))))))) @ X2)))), inference(condense,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6])])).
% 0.20/0.55 thf(c_0_9, negated_conjecture, (((cP @ esk13_0 @ esk14_0)=(esk10_0))|((cP @ esk15_0 @ esk16_0)=(esk10_0))|(cPSI @ (^[Z0/* 6 */:a]:(![X158:a > $o]:((((X158 @ esk11_0)&![X159:a]:(((X158 @ X159)=>(X158 @ (cL @ X159)))))=>?[X160:a]:(((X158 @ X160)&((cR @ X160)=(Z0)))))))) @ esk12_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6])]), c_0_7])).
% 0.20/0.55 thf(c_0_10, negated_conjecture, (((cP @ esk11_0 @ esk12_0)=(esk10_0))|((cP @ esk13_0 @ esk14_0)=(esk10_0))|((cP @ esk15_0 @ esk16_0)=(esk10_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6])]), c_0_7])).
% 0.20/0.55 thf(c_0_11, negated_conjecture, ![X1:a, X2:a]:((((cP @ X1 @ X2)!=(esk10_0))|~((cPHI @ (^[Z0/* 6 */:a]:(![X161:a > $o]:((((X161 @ X1)&![X162:a]:(((X161 @ X162)=>(X161 @ (cL @ X162)))))=>?[X163:a]:(((X161 @ X163)&((cR @ X163)=(Z0)))))))) @ X2)))), inference(condense,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6])])).
% 0.20/0.55 thf(c_0_12, negated_conjecture, (((cP @ esk11_0 @ esk12_0)=(esk10_0))|((cP @ esk13_0 @ esk14_0)=(esk10_0))|(cPSI @ (^[Z0/* 6 */:a]:(![X164:a > $o]:((((X164 @ esk15_0)&![X165:a]:(((X164 @ X165)=>(X164 @ (cL @ X165)))))=>?[X166:a]:(((X164 @ X166)&((cR @ X166)=(Z0)))))))) @ esk16_0)|(cPHI @ (^[Z0/* 6 */:a]:(![X167:a > $o]:((((X167 @ esk15_0)&![X168:a]:(((X167 @ X168)=>(X167 @ (cL @ X168)))))=>?[X169:a]:(((X167 @ X169)&((cR @ X169)=(Z0)))))))) @ esk16_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6])]), c_0_7])).
% 0.20/0.55 thf(c_0_13, negated_conjecture, (((cP @ esk15_0 @ esk16_0)=(esk10_0))|((cP @ esk13_0 @ esk14_0)=(esk10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10])).
% 0.20/0.55 thf(c_0_14, negated_conjecture, (((cP @ esk15_0 @ esk16_0)=(esk10_0))|(cPSI @ (^[Z0/* 6 */:a]:(![X170:a > $o]:((((X170 @ esk11_0)&![X171:a]:(((X170 @ X171)=>(X170 @ (cL @ X171)))))=>?[X172:a]:(((X170 @ X172)&((cR @ X172)=(Z0)))))))) @ esk12_0)|(cPHI @ (^[Z0/* 6 */:a]:(![X173:a > $o]:((((X173 @ esk13_0)&![X174:a]:(((X173 @ X174)=>(X173 @ (cL @ X174)))))=>?[X175:a]:(((X173 @ X175)&((cR @ X175)=(Z0)))))))) @ esk14_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6])]), c_0_7])).
% 0.20/0.55 thf(c_0_15, negated_conjecture, (((cP @ esk11_0 @ esk12_0)=(esk10_0))|((cP @ esk15_0 @ esk16_0)=(esk10_0))|(cPHI @ (^[Z0/* 6 */:a]:(![X176:a > $o]:((((X176 @ esk13_0)&![X177:a]:(((X176 @ X177)=>(X176 @ (cL @ X177)))))=>?[X178:a]:(((X176 @ X178)&((cR @ X178)=(Z0)))))))) @ esk14_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6])]), c_0_7])).
% 0.20/0.55 thf(c_0_16, plain, ((epred1_0)=>(((((((((cL @ cZ)=(cZ))&((cR @ cZ)=(cZ)))&![X1:a, X2:a]:(((cL @ (cP @ X1 @ X2))=(X1))))&![X1:a, X2:a]:(((cR @ (cP @ X1 @ X2))=(X2))))&![X3:a]:((((X3)!=(cZ))<=>((X3)=(cP @ (cL @ X3) @ (cR @ X3))))))&![X4:a > $o]:((?[X3:a]:(((X4 @ X3)&![X5:a]:(((X4 @ X5)=>(X4 @ (cL @ X5))))))=>(X4 @ cZ))))&![X4:a > $o, X6:a]:(((cPHI @ X4 @ X6)<=>?[X1:a]:((![X7:a]:((![X8:a > $o]:((((X8 @ X1)&![X9:a]:(((X8 @ X9)=>(X8 @ (cL @ X9)))))=>?[X10:a]:(((X8 @ X10)&((cR @ X10)=(X7))))))=>(X4 @ X7)))&(cPHI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ X1&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X6))))))&![X4:a > $o, X6:a]:(((cPSI @ X4 @ X6)<=>?[X1:a]:((![X11:a]:((![X8:a > $o]:((((X8 @ X1)&![X9:a]:(((X8 @ X9)=>(X8 @ (cL @ X9)))))=>?[X10:a]:(((X8 @ X10)&((cR @ X10)=(X11))))))=>(X4 @ X11)))&(cPSI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ X1&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X6))))))), inference(split_equiv,[status(thm)],[c_0_1])).
% 0.20/0.55 thf(c_0_17, negated_conjecture, (((cP @ esk11_0 @ esk12_0)=(esk10_0))|(cPHI @ (^[Z0/* 6 */:a]:(![X179:a > $o]:((((X179 @ esk13_0)&![X180:a]:(((X179 @ X180)=>(X179 @ (cL @ X180)))))=>?[X181:a]:(((X179 @ X181)&((cR @ X181)=(Z0)))))))) @ esk14_0)|(cPSI @ (^[Z0/* 6 */:a]:(![X182:a > $o]:((((X182 @ esk15_0)&![X183:a]:(((X182 @ X183)=>(X182 @ (cL @ X183)))))=>?[X184:a]:(((X182 @ X184)&((cR @ X184)=(Z0)))))))) @ esk16_0)|(cPHI @ (^[Z0/* 6 */:a]:(![X185:a > $o]:((((X185 @ esk15_0)&![X186:a]:(((X185 @ X186)=>(X185 @ (cL @ X186)))))=>?[X187:a]:(((X185 @ X187)&((cR @ X187)=(Z0)))))))) @ esk16_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6])]), c_0_7])).
% 0.20/0.55 thf(c_0_18, negated_conjecture, (((cP @ esk13_0 @ esk14_0)=(esk10_0))|((cP @ esk11_0 @ esk12_0)=(esk10_0))|(cPSI @ (^[Z0/* 6 */:a]:(![X188:a > $o]:((((X188 @ esk15_0)&![X189:a]:(((X188 @ X189)=>(X188 @ (cL @ X189)))))=>?[X190:a]:(((X188 @ X190)&((cR @ X190)=(Z0)))))))) @ esk16_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_13])).
% 0.20/0.55 thf(c_0_19, negated_conjecture, (((cP @ esk15_0 @ esk16_0)=(esk10_0))|(cPSI @ (^[Z0/* 6 */:a]:(![X191:a > $o]:((((X191 @ esk11_0)&![X192:a]:(((X191 @ X192)=>(X191 @ (cL @ X192)))))=>?[X193:a]:(((X191 @ X193)&((cR @ X193)=(Z0)))))))) @ esk12_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_14]), c_0_13])).
% 0.20/0.55 thf(c_0_20, negated_conjecture, (((cP @ esk15_0 @ esk16_0)=(esk10_0))|((cP @ esk11_0 @ esk12_0)=(esk10_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_15]), c_0_13])).
% 0.20/0.55 thf(c_0_21, plain, ![X35:a, X36:a, X37:a, X38:a, X39:a, X40:a > $o, X41:a, X43:a > $o, X44:a, X46:a, X48:a, X49:a, X50:a > $o, X51:a, X52:a, X54:a > $o, X57:a > $o, X58:a, X60:a, X62:a, X63:a, X64:a > $o, X65:a, X66:a, X68:a > $o]:(((((((((((cL @ cZ)=(cZ))|~(epred1_0))&(((cR @ cZ)=(cZ))|~(epred1_0)))&(((cL @ (cP @ X35 @ X36))=(X35))|~(epred1_0)))&(((cR @ (cP @ X37 @ X38))=(X38))|~(epred1_0)))&((((X39)=(cZ))|((X39)=(cP @ (cL @ X39) @ (cR @ X39)))|~(epred1_0))&(((X39)!=(cP @ (cL @ X39) @ (cR @ X39)))|((X39)!=(cZ))|~(epred1_0))))&(((X40 @ (esk1_1 @ X40))|~(X40 @ X41)|(X40 @ cZ)|~(epred1_0))&(~(X40 @ (cL @ (esk1_1 @ X40)))|~(X40 @ X41)|(X40 @ cZ)|~(epred1_0))))&((((((epred2_3 @ X43 @ X44 @ X46 @ (esk2_2 @ X43 @ X44))|(X43 @ X46)|~(cPHI @ X43 @ X44)|~(epred1_0))&(~(epred2_3 @ X43 @ X44 @ X46 @ X48)|(epred2_3 @ X43 @ X44 @ X46 @ (cL @ X48))|(X43 @ X46)|~(cPHI @ X43 @ X44)|~(epred1_0)))&(~(epred2_3 @ X43 @ X44 @ X46 @ X49)|((cR @ X49)!=(X46))|(X43 @ X46)|~(cPHI @ X43 @ X44)|~(epred1_0)))&((cPHI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ (esk2_2 @ X43 @ X44)&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X44)|~(cPHI @ X43 @ X44)|~(epred1_0)))&(((((X54 @ (esk5_4 @ X50 @ X51 @ X52 @ X54))|((X54 @ (esk4_4 @ X50 @ X51 @ X52 @ X54))|~(X54 @ X52))|~(cPHI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ X52&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X51)|(cPHI @ X50 @ X51)|~(epred1_0))&(((cR @ (esk5_4 @ X50 @ X51 @ X52 @ X54))=(esk3_3 @ X50 @ X51 @ X52))|((X54 @ (esk4_4 @ X50 @ X51 @ X52 @ X54))|~(X54 @ X52))|~(cPHI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ X52&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X51)|(cPHI @ X50 @ X51)|~(epred1_0)))&(((X54 @ (esk5_4 @ X50 @ X51 @ X52 @ X54))|(~(X54 @ (cL @ (esk4_4 @ X50 @ X51 @ X52 @ X54)))|~(X54 @ X52))|~(cPHI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ X52&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X51)|(cPHI @ X50 @ X51)|~(epred1_0))&(((cR @ (esk5_4 @ X50 @ X51 @ X52 @ X54))=(esk3_3 @ X50 @ X51 @ X52))|(~(X54 @ (cL @ (esk4_4 @ X50 @ X51 @ X52 @ X54)))|~(X54 @ X52))|~(cPHI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ X52&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X51)|(cPHI @ X50 @ X51)|~(epred1_0))))&(~(X50 @ (esk3_3 @ X50 @ X51 @ X52))|~(cPHI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ X52&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X51)|(cPHI @ X50 @ X51)|~(epred1_0)))))&((((((epred3_3 @ X57 @ X58 @ X60 @ (esk6_2 @ X57 @ X58))|(X57 @ X60)|~(cPSI @ X57 @ X58)|~(epred1_0))&(~(epred3_3 @ X57 @ X58 @ X60 @ X62)|(epred3_3 @ X57 @ X58 @ X60 @ (cL @ X62))|(X57 @ X60)|~(cPSI @ X57 @ X58)|~(epred1_0)))&(~(epred3_3 @ X57 @ X58 @ X60 @ X63)|((cR @ X63)!=(X60))|(X57 @ X60)|~(cPSI @ X57 @ X58)|~(epred1_0)))&((cPSI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ (esk6_2 @ X57 @ X58)&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X58)|~(cPSI @ X57 @ X58)|~(epred1_0)))&(((((X68 @ (esk9_4 @ X64 @ X65 @ X66 @ X68))|((X68 @ (esk8_4 @ X64 @ X65 @ X66 @ X68))|~(X68 @ X66))|~(cPSI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ X66&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X65)|(cPSI @ X64 @ X65)|~(epred1_0))&(((cR @ (esk9_4 @ X64 @ X65 @ X66 @ X68))=(esk7_3 @ X64 @ X65 @ X66))|((X68 @ (esk8_4 @ X64 @ X65 @ X66 @ X68))|~(X68 @ X66))|~(cPSI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ X66&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X65)|(cPSI @ X64 @ X65)|~(epred1_0)))&(((X68 @ (esk9_4 @ X64 @ X65 @ X66 @ X68))|(~(X68 @ (cL @ (esk8_4 @ X64 @ X65 @ X66 @ X68)))|~(X68 @ X66))|~(cPSI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ X66&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X65)|(cPSI @ X64 @ X65)|~(epred1_0))&(((cR @ (esk9_4 @ X64 @ X65 @ X66 @ X68))=(esk7_3 @ X64 @ X65 @ X66))|(~(X68 @ (cL @ (esk8_4 @ X64 @ X65 @ X66 @ X68)))|~(X68 @ X66))|~(cPSI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ X66&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X65)|(cPSI @ X64 @ X65)|~(epred1_0))))&(~(X64 @ (esk7_3 @ X64 @ X65 @ X66))|~(cPSI @ (^[Z0/* 6 */:a]:(![X8:a > $o]:(((X8 @ X66&![X9:a]:((X8 @ X9=>X8 @ (cL @ X9))))=>?[X10:a]:((X8 @ X10&((cR @ X10)=(Z0)))))))) @ X65)|(cPSI @ X64 @ X65)|~(epred1_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(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])])])])).
% 0.20/0.55 thf(c_0_22, negated_conjecture, (((cP @ esk11_0 @ esk12_0)=(esk10_0))|(cPHI @ (^[Z0/* 6 */:a]:(![X194:a > $o]:((((X194 @ esk15_0)&![X195:a]:(((X194 @ X195)=>(X194 @ (cL @ X195)))))=>?[X196:a]:(((X194 @ X196)&((cR @ X196)=(Z0)))))))) @ esk16_0)|(cPSI @ (^[Z0/* 6 */:a]:(![X197:a > $o]:((((X197 @ esk15_0)&![X198:a]:(((X197 @ X198)=>(X197 @ (cL @ X198)))))=>?[X199:a]:(((X197 @ X199)&((cR @ X199)=(Z0)))))))) @ esk16_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_17]), c_0_18])).
% 0.20/0.55 thf(c_0_23, negated_conjecture, ((cP @ esk15_0 @ esk16_0)=(esk10_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_19]), c_0_20])).
% 0.20/0.55 thf(c_0_24, plain, ![X1:a, X2:a]:((((cR @ (cP @ X1 @ X2))=(X2))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_21])).
% 0.20/0.55 thf(c_0_25, negated_conjecture, (epred1_0), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.20/0.55 thf(c_0_26, negated_conjecture, (((cP @ esk13_0 @ esk14_0)=(esk10_0))|(cPSI @ (^[Z0/* 6 */:a]:(![X200:a > $o]:((((X200 @ esk11_0)&![X201:a]:(((X200 @ X201)=>(X200 @ (cL @ X201)))))=>?[X202:a]:(((X200 @ X202)&((cR @ X202)=(Z0)))))))) @ esk12_0)|(cPSI @ (^[Z0/* 6 */:a]:(![X203:a > $o]:((((X203 @ esk15_0)&![X204:a]:(((X203 @ X204)=>(X203 @ (cL @ X204)))))=>?[X205:a]:(((X203 @ X205)&((cR @ X205)=(Z0)))))))) @ esk16_0)|(cPHI @ (^[Z0/* 6 */:a]:(![X206:a > $o]:((((X206 @ esk15_0)&![X207:a]:(((X206 @ X207)=>(X206 @ (cL @ X207)))))=>?[X208:a]:(((X206 @ X208)&((cR @ X208)=(Z0)))))))) @ esk16_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6])]), c_0_7])).
% 0.20/0.55 thf(c_0_27, negated_conjecture, (((cP @ esk11_0 @ esk12_0)=(esk10_0))|(cPSI @ (^[Z0/* 6 */:a]:(![X209:a > $o]:((((X209 @ esk15_0)&![X210:a]:(((X209 @ X210)=>(X209 @ (cL @ X210)))))=>?[X211:a]:(((X209 @ X211)&((cR @ X211)=(Z0)))))))) @ esk16_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_22]), c_0_23])])).
% 0.20/0.55 thf(c_0_28, plain, ![X1:a, X2:a]:(((cR @ (cP @ X1 @ X2))=(X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 0.20/0.55 thf(c_0_29, negated_conjecture, ((cPSI @ (^[Z0/* 6 */:a]:(![X212:a > $o]:((((X212 @ esk11_0)&![X213:a]:(((X212 @ X213)=>(X212 @ (cL @ X213)))))=>?[X214:a]:(((X212 @ X214)&((cR @ X214)=(Z0)))))))) @ esk12_0)|(cPHI @ (^[Z0/* 6 */:a]:(![X215:a > $o]:((((X215 @ esk13_0)&![X216:a]:(((X215 @ X216)=>(X215 @ (cL @ X216)))))=>?[X217:a]:(((X215 @ X217)&((cR @ X217)=(Z0)))))))) @ esk14_0)|(cPSI @ (^[Z0/* 6 */:a]:(![X218:a > $o]:((((X218 @ esk15_0)&![X219:a]:(((X218 @ X219)=>(X218 @ (cL @ X219)))))=>?[X220:a]:(((X218 @ X220)&((cR @ X220)=(Z0)))))))) @ esk16_0)|(cPHI @ (^[Z0/* 6 */:a]:(![X221:a > $o]:((((X221 @ esk15_0)&![X222:a]:(((X221 @ X222)=>(X221 @ (cL @ X222)))))=>?[X223:a]:(((X221 @ X223)&((cR @ X223)=(Z0)))))))) @ esk16_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6])]), c_0_7])).
% 0.20/0.55 thf(c_0_30, negated_conjecture, (((cP @ esk13_0 @ esk14_0)=(esk10_0))|(cPSI @ (^[Z0/* 6 */:a]:(![X224:a > $o]:((((X224 @ esk15_0)&![X225:a]:(((X224 @ X225)=>(X224 @ (cL @ X225)))))=>?[X226:a]:(((X224 @ X226)&((cR @ X226)=(Z0)))))))) @ esk16_0)|(cPSI @ (^[Z0/* 6 */:a]:(![X227:a > $o]:((((X227 @ esk11_0)&![X228:a]:(((X227 @ X228)=>(X227 @ (cL @ X228)))))=>?[X229:a]:(((X227 @ X229)&((cR @ X229)=(Z0)))))))) @ esk12_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_26]), c_0_13])).
% 0.20/0.55 thf(c_0_31, negated_conjecture, ((cP @ esk11_0 @ esk12_0)=(esk10_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_27]), c_0_23])])).
% 0.20/0.55 thf(c_0_32, plain, ((cR @ esk10_0)=(esk16_0)), inference(spm,[status(thm)],[c_0_28, c_0_23])).
% 0.20/0.55 thf(c_0_33, plain, ![X2:a, X1:a]:((((cL @ (cP @ X1 @ X2))=(X1))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_21])).
% 0.20/0.55 thf(c_0_34, negated_conjecture, ((cPHI @ (^[Z0/* 6 */:a]:(![X230:a > $o]:((((X230 @ esk15_0)&![X231:a]:(((X230 @ X231)=>(X230 @ (cL @ X231)))))=>?[X232:a]:(((X230 @ X232)&((cR @ X232)=(Z0)))))))) @ esk16_0)|(cPSI @ (^[Z0/* 6 */:a]:(![X233:a > $o]:((((X233 @ esk15_0)&![X234:a]:(((X233 @ X234)=>(X233 @ (cL @ X234)))))=>?[X235:a]:(((X233 @ X235)&((cR @ X235)=(Z0)))))))) @ esk16_0)|(cPSI @ (^[Z0/* 6 */:a]:(![X236:a > $o]:((((X236 @ esk11_0)&![X237:a]:(((X236 @ X237)=>(X236 @ (cL @ X237)))))=>?[X238:a]:(((X236 @ X238)&((cR @ X238)=(Z0)))))))) @ esk12_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_29]), c_0_30])).
% 0.20/0.55 thf(c_0_35, plain, ((esk12_0)=(esk16_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_31]), c_0_32])).
% 0.20/0.55 thf(c_0_36, plain, ![X2:a, X1:a]:(((cL @ (cP @ X1 @ X2))=(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_25])])).
% 0.20/0.55 thf(c_0_37, negated_conjecture, ((cPSI @ (^[Z0/* 6 */:a]:(![X239:a > $o]:((((X239 @ esk11_0)&![X240:a]:(((X239 @ X240)=>(X239 @ (cL @ X240)))))=>?[X241:a]:(((X239 @ X241)&((cR @ X241)=(Z0)))))))) @ esk16_0)|(cPSI @ (^[Z0/* 6 */:a]:(![X242:a > $o]:((((X242 @ esk15_0)&![X243:a]:(((X242 @ X243)=>(X242 @ (cL @ X243)))))=>?[X244:a]:(((X242 @ X244)&((cR @ X244)=(Z0)))))))) @ esk16_0)|(cPHI @ (^[Z0/* 6 */:a]:(![X245:a > $o]:((((X245 @ esk15_0)&![X246:a]:(((X245 @ X246)=>(X245 @ (cL @ X246)))))=>?[X247:a]:(((X245 @ X247)&((cR @ X247)=(Z0)))))))) @ esk16_0)), inference(rw,[status(thm)],[c_0_34, c_0_35])).
% 0.20/0.55 thf(c_0_38, negated_conjecture, ((cP @ esk11_0 @ esk16_0)=(esk10_0)), inference(rw,[status(thm)],[c_0_31, c_0_35])).
% 0.20/0.55 thf(c_0_39, plain, ((cL @ esk10_0)=(esk15_0)), inference(spm,[status(thm)],[c_0_36, c_0_23])).
% 0.20/0.55 thf(c_0_40, negated_conjecture, ((cPSI @ (^[Z0/* 6 */:a]:(![X248:a > $o]:((((X248 @ esk15_0)&![X249:a]:(((X248 @ X249)=>(X248 @ (cL @ X249)))))=>?[X250:a]:(((X248 @ X250)&((cR @ X250)=(Z0)))))))) @ esk16_0)|(cPSI @ (^[Z0/* 6 */:a]:(![X251:a > $o]:((((X251 @ esk11_0)&![X252:a]:(((X251 @ X252)=>(X251 @ (cL @ X252)))))=>?[X253:a]:(((X251 @ X253)&((cR @ X253)=(Z0)))))))) @ esk16_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_37]), c_0_23])])).
% 0.20/0.55 thf(c_0_41, plain, ((esk11_0)=(esk15_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_38]), c_0_39])).
% 0.20/0.55 thf(c_0_42, negated_conjecture, (cPSI @ (^[Z0/* 6 */:a]:(![X254:a > $o]:((((X254 @ esk15_0)&![X255:a]:(((X254 @ X255)=>(X254 @ (cL @ X255)))))=>?[X256:a]:(((X254 @ X256)&((cR @ X256)=(Z0)))))))) @ esk16_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_40]), c_0_41]), c_0_23])])).
% 0.20/0.55 thf(c_0_43, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_42]), c_0_23])]), ['proof']).
% 0.20/0.55 # SZS output end CNFRefutation
% 0.20/0.55 # Parsed axioms : 8
% 0.20/0.55 # Removed by relevancy pruning/SinE : 0
% 0.20/0.55 # Initial clauses : 35
% 0.20/0.55 # Removed in clause preprocessing : 7
% 0.20/0.55 # Initial clauses in saturation : 28
% 0.20/0.55 # Processed clauses : 205
% 0.20/0.55 # ...of these trivial : 1
% 0.20/0.55 # ...subsumed : 20
% 0.20/0.55 # ...remaining for further processing : 184
% 0.20/0.55 # Other redundant clauses eliminated : 3
% 0.20/0.55 # Clauses deleted for lack of memory : 0
% 0.20/0.55 # Backward-subsumed : 46
% 0.20/0.55 # Backward-rewritten : 22
% 0.20/0.55 # Generated clauses : 587
% 0.20/0.55 # ...of the previous two non-redundant : 565
% 0.20/0.55 # ...aggressively subsumed : 0
% 0.20/0.55 # Contextual simplify-reflections : 16
% 0.20/0.55 # Paramodulations : 557
% 0.20/0.55 # Factorizations : 9
% 0.20/0.55 # NegExts : 1
% 0.20/0.55 # Equation resolutions : 3
% 0.20/0.55 # Disequality decompositions : 0
% 0.20/0.55 # Total rewrite steps : 102
% 0.20/0.55 # ...of those cached : 87
% 0.20/0.55 # Propositional unsat checks : 0
% 0.20/0.55 # Propositional check models : 0
% 0.20/0.55 # Propositional check unsatisfiable : 0
% 0.20/0.55 # Propositional clauses : 0
% 0.20/0.55 # Propositional clauses after purity: 0
% 0.20/0.55 # Propositional unsat core size : 0
% 0.20/0.55 # Propositional preprocessing time : 0.000
% 0.20/0.55 # Propositional encoding time : 0.000
% 0.20/0.55 # Propositional solver time : 0.000
% 0.20/0.55 # Success case prop preproc time : 0.000
% 0.20/0.55 # Success case prop encoding time : 0.000
% 0.20/0.55 # Success case prop solver time : 0.000
% 0.20/0.55 # Current number of processed clauses : 84
% 0.20/0.55 # Positive orientable unit clauses : 13
% 0.20/0.55 # Positive unorientable unit clauses: 0
% 0.20/0.55 # Negative unit clauses : 3
% 0.20/0.55 # Non-unit-clauses : 68
% 0.20/0.55 # Current number of unprocessed clauses: 284
% 0.20/0.55 # ...number of literals in the above : 1369
% 0.20/0.55 # Current number of archived formulas : 0
% 0.20/0.55 # Current number of archived clauses : 97
% 0.20/0.55 # Clause-clause subsumption calls (NU) : 3179
% 0.20/0.55 # Rec. Clause-clause subsumption calls : 1012
% 0.20/0.55 # Non-unit clause-clause subsumptions : 73
% 0.20/0.55 # Unit Clause-clause subsumption calls : 205
% 0.20/0.55 # Rewrite failures with RHS unbound : 0
% 0.20/0.55 # BW rewrite match attempts : 11
% 0.20/0.55 # BW rewrite match successes : 10
% 0.20/0.55 # Condensation attempts : 205
% 0.20/0.55 # Condensation successes : 4
% 0.20/0.55 # Termbank termtop insertions : 38707
% 0.20/0.55 # Search garbage collected termcells : 1060
% 0.20/0.55
% 0.20/0.55 # -------------------------------------------------
% 0.20/0.55 # User time : 0.054 s
% 0.20/0.55 # System time : 0.004 s
% 0.20/0.55 # Total time : 0.058 s
% 0.20/0.55 # Maximum resident set size: 2052 pages
% 0.20/0.55
% 0.20/0.55 # -------------------------------------------------
% 0.20/0.55 # User time : 0.056 s
% 0.20/0.55 # System time : 0.006 s
% 0.20/0.55 # Total time : 0.062 s
% 0.20/0.55 # Maximum resident set size: 1744 pages
% 0.20/0.55 % E---3.1 exiting
% 0.20/0.55 % E exiting
%------------------------------------------------------------------------------