TSTP Solution File: SEV303^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV303^5 : TPTP v8.2.0. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 04:08:09 EDT 2024
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV303^5 : TPTP v8.2.0. Bugfixed v6.2.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 19:18:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running higher-order theorem proving
% 0.19/0.46 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
% 0.19/0.50 # Version: 3.1.0-ho
% 0.19/0.50 # Preprocessing class: HSMSSMSSSLSNHHA.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting sh3 with 1500s (5) cores
% 0.19/0.50 # Starting lpo8_s with 300s (1) cores
% 0.19/0.50 # Starting lpo6_lambda_fix with 300s (1) cores
% 0.19/0.50 # Starting pre_casc_5 with 300s (1) cores
% 0.19/0.50 # lpo6_lambda_fix with pid 24254 completed with status 0
% 0.19/0.50 # Result found by lpo6_lambda_fix
% 0.19/0.50 # Preprocessing class: HSMSSMSSSLSNHHA.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting sh3 with 1500s (5) cores
% 0.19/0.50 # Starting lpo8_s with 300s (1) cores
% 0.19/0.50 # Starting lpo6_lambda_fix with 300s (1) cores
% 0.19/0.50 # No SInE strategy applied
% 0.19/0.50 # Search class: HGUNF-FFLF00-DHHFMMBN
% 0.19/0.50 # partial match(3): HGUNF-FFMF00-SHHFFMBN
% 0.19/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting new_ho_10 with 55s (1) cores
% 0.19/0.50 # new_ho_10 with pid 24257 completed with status 0
% 0.19/0.50 # Result found by new_ho_10
% 0.19/0.50 # Preprocessing class: HSMSSMSSSLSNHHA.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting sh3 with 1500s (5) cores
% 0.19/0.50 # Starting lpo8_s with 300s (1) cores
% 0.19/0.50 # Starting lpo6_lambda_fix with 300s (1) cores
% 0.19/0.50 # No SInE strategy applied
% 0.19/0.50 # Search class: HGUNF-FFLF00-DHHFMMBN
% 0.19/0.50 # partial match(3): HGUNF-FFMF00-SHHFFMBN
% 0.19/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting new_ho_10 with 55s (1) cores
% 0.19/0.50 # Preprocessing time : 0.003 s
% 0.19/0.50 # Presaturation interreduction done
% 0.19/0.50
% 0.19/0.50 # Proof found!
% 0.19/0.50 # SZS status Theorem
% 0.19/0.50 # SZS output start CNFRefutation
% 0.19/0.50 thf(decl_22, type, cNAT: (($i > $o) > $o) > $o).
% 0.19/0.50 thf(decl_23, type, cSUCC: (($i > $o) > $o) > ($i > $o) > $o).
% 0.19/0.50 thf(decl_24, type, cZERO: ($i > $o) > $o).
% 0.19/0.50 thf(decl_25, type, epred1_0: (($i > $o) > $o) > $o).
% 0.19/0.50 thf(decl_26, type, epred2_1: (($i > $o) > $o) > (($i > $o) > $o) > $o).
% 0.19/0.50 thf(decl_27, type, epred3_0: ($i > $o) > $o).
% 0.19/0.50 thf(decl_28, type, epred4_0: (($i > $o) > $o) > $o).
% 0.19/0.50 thf(decl_29, type, epred5_0: ($i > $o) > $o).
% 0.19/0.50 thf(decl_30, type, epred6_1: ((($i > $o) > $o) > $o) > ($i > $o) > $o).
% 0.19/0.50 thf(decl_31, type, epred7_0: (($i > $o) > $o) > $o).
% 0.19/0.50 thf(decl_32, type, epred8_1: ((($i > $o) > $o) > $o) > ($i > $o) > $o).
% 0.19/0.50 thf(cNAT_def, axiom, ((cNAT)=(^[X3:($i > $o) > $o]:(![X5:(($i > $o) > $o) > $o]:((((X5 @ cZERO)&![X6:($i > $o) > $o]:(((X5 @ X6)=>(X5 @ (cSUCC @ X6)))))=>(X5 @ X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cNAT_def)).
% 0.19/0.50 thf(cZERO_def, axiom, ((cZERO)=(^[X1:$i > $o]:(~(?[X2:$i]:((X1 @ X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cZERO_def)).
% 0.19/0.50 thf(cSUCC_def, axiom, ((cSUCC)=(^[X3:($i > $o) > $o, X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&(X3 @ (^[X4:$i]:((((X4)!=(X2))&(X1 @ X4)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cSUCC_def)).
% 0.19/0.50 thf(cX6102_C, conjecture, ![X7:(($i > $o) > $o) > $o]:((((X7 @ cZERO)&![X8:($i > $o) > $o]:(((cNAT @ X8)=>((X7 @ X8)=>(X7 @ (cSUCC @ X8))))))=>![X9:($i > $o) > $o]:(((((![X10:(($i > $o) > $o) > $o]:((((X10 @ cZERO)&![X11:($i > $o) > $o]:(((X10 @ X11)=>(X10 @ (cSUCC @ X11)))))=>(X10 @ cZERO)))&(X7 @ cZERO))&![X12:($i > $o) > $o]:(((![X10:(($i > $o) > $o) > $o]:((((X10 @ cZERO)&![X13:($i > $o) > $o]:(((X10 @ X13)=>(X10 @ (cSUCC @ X13)))))=>(X10 @ X12)))&(X7 @ X12))=>(![X10:(($i > $o) > $o) > $o]:((((X10 @ cZERO)&![X13:($i > $o) > $o]:(((X10 @ X13)=>(X10 @ (cSUCC @ X13)))))=>(X10 @ (cSUCC @ X12))))&(X7 @ (cSUCC @ X12))))))=>((cNAT @ X9)&(X7 @ X9)))=>(X7 @ X9))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cX6102_C)).
% 0.19/0.50 thf(c_0_4, plain, ((cNAT)=(^[Z0/* 6 */:($i > $o) > $o]:(![X5:(($i > $o) > $o) > $o]:((((X5 @ (^[Z1/* 7 */:$i > $o]:(~(?[X24:$i]:((Z1 @ X24))))))&![X6:($i > $o) > $o]:(((X5 @ X6)=>(X5 @ (^[Z1/* 5 */:$i > $o]:(?[X25:$i]:(((Z1 @ X25)&(X6 @ (^[Z2/* 8 */:$i]:((((Z2)!=(X25))&(Z1 @ Z2)))))))))))))=>(X5 @ Z0)))))), inference(fof_simplification,[status(thm)],[cNAT_def])).
% 0.19/0.50 thf(c_0_5, plain, ((cZERO)=(^[Z0/* 7 */:$i > $o]:(~(?[X2:$i]:((Z0 @ X2)))))), inference(fof_simplification,[status(thm)],[cZERO_def])).
% 0.19/0.50 thf(c_0_6, plain, ((cSUCC)=(^[Z0/* 19 */:($i > $o) > $o, Z1:$i > $o]:(?[X2:$i]:(((Z1 @ X2)&(Z0 @ (^[Z2/* 8 */:$i]:((((Z2)!=(X2))&(Z1 @ Z2)))))))))), inference(fof_simplification,[status(thm)],[cSUCC_def])).
% 0.19/0.50 thf(c_0_7, plain, ((cNAT)=(^[Z0/* 6 */:($i > $o) > $o]:(![X5:(($i > $o) > $o) > $o]:((((X5 @ (^[Z1/* 7 */:$i > $o]:(~(?[X24:$i]:((Z1 @ X24))))))&![X6:($i > $o) > $o]:(((X5 @ X6)=>(X5 @ (^[Z1/* 5 */:$i > $o]:(?[X25:$i]:(((Z1 @ X25)&(X6 @ (^[Z2/* 8 */:$i]:((((Z2)!=(X25))&(Z1 @ Z2)))))))))))))=>(X5 @ Z0)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_4, c_0_5]), c_0_6])).
% 0.19/0.50 thf(c_0_8, negated_conjecture, ~(![X7:(($i > $o) > $o) > $o]:((((X7 @ (^[Z0/* 7 */:$i > $o]:(~(?[X26:$i]:(Z0 @ X26)))))&![X8:($i > $o) > $o]:((![X27:(($i > $o) > $o) > $o]:((((X27 @ (^[Z0/* 7 */:$i > $o]:(~(?[X28:$i]:(Z0 @ X28)))))&![X29:($i > $o) > $o]:(((X27 @ X29)=>(X27 @ (^[Z0/* 5 */:$i > $o]:(?[X30:$i]:((Z0 @ X30&X29 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X30)))&Z0 @ Z1)))))))))))=>(X27 @ X8)))=>((X7 @ X8)=>(X7 @ (^[Z0/* 5 */:$i > $o]:(?[X31:$i]:((Z0 @ X31&X8 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X31)))&Z0 @ Z1))))))))))))=>![X9:($i > $o) > $o]:(((((![X10:(($i > $o) > $o) > $o]:((((X10 @ (^[Z0/* 7 */:$i > $o]:(~(?[X32:$i]:(Z0 @ X32)))))&![X11:($i > $o) > $o]:(((X10 @ X11)=>(X10 @ (^[Z0/* 5 */:$i > $o]:(?[X33:$i]:((Z0 @ X33&X11 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X33)))&Z0 @ Z1)))))))))))=>(X10 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))))&(X7 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))&![X12:($i > $o) > $o]:(((![X10:(($i > $o) > $o) > $o]:((((X10 @ (^[Z0/* 7 */:$i > $o]:(~(?[X36:$i]:(Z0 @ X36)))))&![X13:($i > $o) > $o]:(((X10 @ X13)=>(X10 @ (^[Z0/* 5 */:$i > $o]:(?[X37:$i]:((Z0 @ X37&X13 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X37)))&Z0 @ Z1)))))))))))=>(X10 @ X12)))&(X7 @ X12))=>(![X10:(($i > $o) > $o) > $o]:((((X10 @ (^[Z0/* 7 */:$i > $o]:(~(?[X38:$i]:(Z0 @ X38)))))&![X13:($i > $o) > $o]:(((X10 @ X13)=>(X10 @ (^[Z0/* 5 */:$i > $o]:(?[X39:$i]:((Z0 @ X39&X13 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X39)))&Z0 @ Z1)))))))))))=>(X10 @ (^[Z0/* 5 */:$i > $o]:(?[X40:$i]:((Z0 @ X40&X12 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X40)))&Z0 @ Z1))))))))))&(X7 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&X12 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))))))=>(![X42:(($i > $o) > $o) > $o]:((((X42 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))&![X44:($i > $o) > $o]:(((X42 @ X44)=>(X42 @ (^[Z0/* 5 */:$i > $o]:(?[X45:$i]:((Z0 @ X45&X44 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X45)))&Z0 @ Z1)))))))))))=>(X42 @ X9)))&(X7 @ X9)))=>(X7 @ X9)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cX6102_C]), c_0_5]), c_0_6]), c_0_7])).
% 0.19/0.50 thf(c_0_9, negated_conjecture, ![X47:($i > $o) > $o, X49:($i > $o) > $o, X52:($i > $o) > $o, X54:(($i > $o) > $o) > $o, X57:($i > $o) > $o, X58:(($i > $o) > $o) > $o]:((((epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X26:$i]:(Z0 @ X26)))))&((((epred2_1 @ X47 @ (^[Z0/* 7 */:$i > $o]:(~(?[X28:$i]:(Z0 @ X28)))))|(~(epred1_0 @ X47)|(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X31:$i]:((Z0 @ X31&X47 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X31)))&Z0 @ Z1))))))))))&(~(epred2_1 @ X47 @ X49)|(epred2_1 @ X47 @ (^[Z0/* 5 */:$i > $o]:(?[X30:$i]:((Z0 @ X30&X49 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X30)))&Z0 @ Z1))))))))|(~(epred1_0 @ X47)|(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X31:$i]:((Z0 @ X31&X47 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X31)))&Z0 @ Z1)))))))))))&(~(epred2_1 @ X47 @ X47)|(~(epred1_0 @ X47)|(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X31:$i]:((Z0 @ X31&X47 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X31)))&Z0 @ Z1))))))))))))&((((((((((X58 @ (epred8_1 @ X58))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|((X54 @ (epred6_1 @ X54))|~(X54 @ (^[Z0/* 7 */:$i > $o]:(~(?[X36:$i]:(Z0 @ X36)))))|(X54 @ epred5_0)|((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X32:$i]:(Z0 @ X32)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))&(~(X58 @ (^[Z0/* 5 */:$i > $o]:(?[X45:$i]:((Z0 @ X45&epred8_1 @ X58 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X45)))&Z0 @ Z1))))))))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|((X54 @ (epred6_1 @ X54))|~(X54 @ (^[Z0/* 7 */:$i > $o]:(~(?[X36:$i]:(Z0 @ X36)))))|(X54 @ epred5_0)|((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X32:$i]:(Z0 @ X32)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((epred1_0 @ epred3_0)|((X54 @ (epred6_1 @ X54))|~(X54 @ (^[Z0/* 7 */:$i > $o]:(~(?[X36:$i]:(Z0 @ X36)))))|(X54 @ epred5_0)|((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X32:$i]:(Z0 @ X32)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((((X58 @ (epred8_1 @ X58))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|(~(X54 @ (^[Z0/* 5 */:$i > $o]:(?[X37:$i]:((Z0 @ X37&epred6_1 @ X54 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X37)))&Z0 @ Z1))))))))|~(X54 @ (^[Z0/* 7 */:$i > $o]:(~(?[X36:$i]:(Z0 @ X36)))))|(X54 @ epred5_0)|((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X32:$i]:(Z0 @ X32)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))&(~(X58 @ (^[Z0/* 5 */:$i > $o]:(?[X45:$i]:((Z0 @ X45&epred8_1 @ X58 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X45)))&Z0 @ Z1))))))))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|(~(X54 @ (^[Z0/* 5 */:$i > $o]:(?[X37:$i]:((Z0 @ X37&epred6_1 @ X54 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X37)))&Z0 @ Z1))))))))|~(X54 @ (^[Z0/* 7 */:$i > $o]:(~(?[X36:$i]:(Z0 @ X36)))))|(X54 @ epred5_0)|((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X32:$i]:(Z0 @ X32)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((epred1_0 @ epred3_0)|(~(X54 @ (^[Z0/* 5 */:$i > $o]:(?[X37:$i]:((Z0 @ X37&epred6_1 @ X54 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X37)))&Z0 @ Z1))))))))|~(X54 @ (^[Z0/* 7 */:$i > $o]:(~(?[X36:$i]:(Z0 @ X36)))))|(X54 @ epred5_0)|((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X32:$i]:(Z0 @ X32)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))))&((((X58 @ (epred8_1 @ X58))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|((epred1_0 @ epred5_0)|((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X32:$i]:(Z0 @ X32)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))&(~(X58 @ (^[Z0/* 5 */:$i > $o]:(?[X45:$i]:((Z0 @ X45&epred8_1 @ X58 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X45)))&Z0 @ Z1))))))))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|((epred1_0 @ epred5_0)|((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X32:$i]:(Z0 @ X32)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((epred1_0 @ epred3_0)|((epred1_0 @ epred5_0)|((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X32:$i]:(Z0 @ X32)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))))&((((((X58 @ (epred8_1 @ X58))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|((epred7_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X38:$i]:(Z0 @ X38)))))|~(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X32:$i]:(Z0 @ X32)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))&(~(X58 @ (^[Z0/* 5 */:$i > $o]:(?[X45:$i]:((Z0 @ X45&epred8_1 @ X58 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X45)))&Z0 @ Z1))))))))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|((epred7_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X38:$i]:(Z0 @ X38)))))|~(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X32:$i]:(Z0 @ X32)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((epred1_0 @ epred3_0)|((epred7_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X38:$i]:(Z0 @ X38)))))|~(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X32:$i]:(Z0 @ X32)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((((X58 @ (epred8_1 @ X58))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|(~(epred7_0 @ X57)|(epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X39:$i]:((Z0 @ X39&X57 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X39)))&Z0 @ Z1))))))))|~(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X32:$i]:(Z0 @ X32)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))&(~(X58 @ (^[Z0/* 5 */:$i > $o]:(?[X45:$i]:((Z0 @ X45&epred8_1 @ X58 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X45)))&Z0 @ Z1))))))))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|(~(epred7_0 @ 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$o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|(~(epred4_0 @ X52)|(epred4_0 @ (^[Z0/* 5 */:$i > $o]:(?[X33:$i]:((Z0 @ X33&X52 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X33)))&Z0 @ Z1))))))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((epred1_0 @ epred3_0)|(~(epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X40:$i]:((Z0 @ X40&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X40)))&Z0 @ Z1))))))))|~(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|(~(epred4_0 @ X52)|(epred4_0 @ (^[Z0/* 5 */:$i > $o]:(?[X33:$i]:((Z0 @ X33&X52 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X33)))&Z0 @ Z1))))))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))))))&(((((((X58 @ (epred8_1 @ X58))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|((X54 @ (epred6_1 @ X54))|~(X54 @ (^[Z0/* 7 */:$i > $o]:(~(?[X36:$i]:(Z0 @ X36)))))|(X54 @ epred5_0)|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))&(~(X58 @ (^[Z0/* 5 */:$i > $o]:(?[X45:$i]:((Z0 @ X45&epred8_1 @ X58 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X45)))&Z0 @ Z1))))))))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|((X54 @ (epred6_1 @ X54))|~(X54 @ (^[Z0/* 7 */:$i > $o]:(~(?[X36:$i]:(Z0 @ X36)))))|(X54 @ epred5_0)|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((epred1_0 @ epred3_0)|((X54 @ (epred6_1 @ X54))|~(X54 @ (^[Z0/* 7 */:$i > $o]:(~(?[X36:$i]:(Z0 @ X36)))))|(X54 @ epred5_0)|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((((X58 @ (epred8_1 @ X58))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|(~(X54 @ (^[Z0/* 5 */:$i > $o]:(?[X37:$i]:((Z0 @ X37&epred6_1 @ X54 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X37)))&Z0 @ Z1))))))))|~(X54 @ (^[Z0/* 7 */:$i > $o]:(~(?[X36:$i]:(Z0 @ X36)))))|(X54 @ epred5_0)|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))&(~(X58 @ (^[Z0/* 5 */:$i > $o]:(?[X45:$i]:((Z0 @ X45&epred8_1 @ X58 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X45)))&Z0 @ Z1))))))))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|(~(X54 @ (^[Z0/* 5 */:$i > $o]:(?[X37:$i]:((Z0 @ X37&epred6_1 @ X54 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X37)))&Z0 @ Z1))))))))|~(X54 @ (^[Z0/* 7 */:$i > $o]:(~(?[X36:$i]:(Z0 @ X36)))))|(X54 @ epred5_0)|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((epred1_0 @ epred3_0)|(~(X54 @ (^[Z0/* 5 */:$i > $o]:(?[X37:$i]:((Z0 @ X37&epred6_1 @ X54 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X37)))&Z0 @ Z1))))))))|~(X54 @ (^[Z0/* 7 */:$i > $o]:(~(?[X36:$i]:(Z0 @ X36)))))|(X54 @ epred5_0)|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))))&((((X58 @ (epred8_1 @ X58))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|((epred1_0 @ epred5_0)|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))&(~(X58 @ (^[Z0/* 5 */:$i > $o]:(?[X45:$i]:((Z0 @ X45&epred8_1 @ X58 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X45)))&Z0 @ Z1))))))))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|((epred1_0 @ epred5_0)|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((epred1_0 @ epred3_0)|((epred1_0 @ epred5_0)|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))))&((((((X58 @ (epred8_1 @ X58))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|((epred7_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X38:$i]:(Z0 @ X38)))))|~(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))&(~(X58 @ (^[Z0/* 5 */:$i > $o]:(?[X45:$i]:((Z0 @ X45&epred8_1 @ X58 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X45)))&Z0 @ Z1))))))))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|((epred7_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X38:$i]:(Z0 @ X38)))))|~(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((epred1_0 @ epred3_0)|((epred7_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X38:$i]:(Z0 @ X38)))))|~(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((((X58 @ (epred8_1 @ X58))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|(~(epred7_0 @ X57)|(epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X39:$i]:((Z0 @ X39&X57 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X39)))&Z0 @ Z1))))))))|~(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))&(~(X58 @ (^[Z0/* 5 */:$i > $o]:(?[X45:$i]:((Z0 @ X45&epred8_1 @ X58 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X45)))&Z0 @ Z1))))))))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|(~(epred7_0 @ X57)|(epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X39:$i]:((Z0 @ X39&X57 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X39)))&Z0 @ Z1))))))))|~(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((epred1_0 @ epred3_0)|(~(epred7_0 @ X57)|(epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X39:$i]:((Z0 @ X39&X57 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X39)))&Z0 @ Z1))))))))|~(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))))&((((X58 @ (epred8_1 @ X58))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|(~(epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X40:$i]:((Z0 @ X40&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X40)))&Z0 @ Z1))))))))|~(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))&(~(X58 @ (^[Z0/* 5 */:$i > $o]:(?[X45:$i]:((Z0 @ X45&epred8_1 @ X58 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X45)))&Z0 @ Z1))))))))|~(X58 @ (^[Z0/* 7 */:$i > $o]:(~(?[X43:$i]:(Z0 @ X43)))))|(X58 @ epred3_0)|(~(epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X40:$i]:((Z0 @ X40&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X40)))&Z0 @ Z1))))))))|~(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35)))))))))&((epred1_0 @ epred3_0)|(~(epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X40:$i]:((Z0 @ X40&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X40)))&Z0 @ Z1))))))))|~(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X41:$i]:((Z0 @ X41&epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X41)))&Z0 @ Z1))))))))|(~(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X34:$i]:(Z0 @ X34)))))|~(epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X35:$i]:(Z0 @ X35))))))))))))&~(epred1_0 @ epred3_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_8])])])])])])).
% 0.19/0.50 thf(c_0_10, negated_conjecture, ((epred1_0 @ epred3_0)|~((epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X60:$i]:(((Z0 @ X60)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X60)))&(Z0 @ Z1)))))))))))|~((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X61:$i]:(((Z0 @ X61)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X61)))&(Z0 @ Z1)))))))))))|~((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X62:$i]:((Z0 @ X62)))))))|~((epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X63:$i]:((Z0 @ X63)))))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_11, negated_conjecture, (epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X64:$i]:((Z0 @ X64)))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_12, negated_conjecture, ~((epred1_0 @ epred3_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_13, negated_conjecture, ![X3:($i > $o) > $o]:(((epred1_0 @ epred3_0)|(epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X65:$i]:(((Z0 @ X65)&(X3 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X65)))&(Z0 @ Z1))))))))))|~((epred7_0 @ X3))|~((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X66:$i]:(((Z0 @ X66)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X66)))&(Z0 @ Z1)))))))))))|~((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X67:$i]:((Z0 @ X67)))))))|~((epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X68:$i]:((Z0 @ X68))))))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_14, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(((epred1_0 @ epred3_0)|(X5 @ epred5_0)|~((X5 @ (^[Z0/* 5 */:$i > $o]:(?[X69:$i]:(((Z0 @ X69)&(epred6_1 @ X5 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X69)))&(Z0 @ Z1)))))))))))|~((X5 @ (^[Z0/* 7 */:$i > $o]:(~(?[X70:$i]:((Z0 @ X70)))))))|~((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X71:$i]:((Z0 @ X71)))))))|~((epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X72:$i]:((Z0 @ X72))))))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_15, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(((epred1_0 @ epred3_0)|(X5 @ (epred6_1 @ X5))|(X5 @ epred5_0)|~((X5 @ (^[Z0/* 7 */:$i > $o]:(~(?[X73:$i]:((Z0 @ X73)))))))|~((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X74:$i]:((Z0 @ X74)))))))|~((epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X75:$i]:((Z0 @ X75))))))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_16, negated_conjecture, ((epred1_0 @ epred3_0)|(epred7_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X76:$i]:((Z0 @ X76))))))|(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X77:$i]:((Z0 @ X77))))))|~((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X78:$i]:(((Z0 @ X78)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X78)))&(Z0 @ Z1)))))))))))|~((epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X79:$i]:((Z0 @ X79)))))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_17, negated_conjecture, ((epred1_0 @ epred3_0)|(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X80:$i]:((Z0 @ X80))))))|~((epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X81:$i]:(((Z0 @ X81)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X81)))&(Z0 @ Z1)))))))))))|~((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X82:$i]:(((Z0 @ X82)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X82)))&(Z0 @ Z1)))))))))))|~((epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X83:$i]:((Z0 @ X83)))))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_18, negated_conjecture, (~((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X84:$i]:(((Z0 @ X84)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X84)))&(Z0 @ Z1)))))))))))|~((epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X85:$i]:(((Z0 @ X85)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X85)))&(Z0 @ Z1)))))))))))|~((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X86:$i]:((Z0 @ X86)))))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])]), c_0_12])).
% 0.19/0.50 thf(c_0_19, negated_conjecture, ![X3:($i > $o) > $o]:(((epred1_0 @ epred3_0)|(epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X87:$i]:(((Z0 @ X87)&(X3 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X87)))&(Z0 @ Z1))))))))))|(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X88:$i]:((Z0 @ X88))))))|~((epred7_0 @ X3))|~((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X89:$i]:(((Z0 @ X89)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X89)))&(Z0 @ Z1)))))))))))|~((epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X90:$i]:((Z0 @ X90))))))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_20, negated_conjecture, ![X3:($i > $o) > $o]:(((epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X91:$i]:(((Z0 @ X91)&(X3 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X91)))&(Z0 @ Z1))))))))))|~((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X92:$i]:(((Z0 @ X92)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X92)))&(Z0 @ Z1)))))))))))|~((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X93:$i]:((Z0 @ X93)))))))|~((epred7_0 @ X3)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_11])]), c_0_12])).
% 0.19/0.50 thf(c_0_21, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(((epred1_0 @ epred3_0)|(X5 @ epred5_0)|(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X94:$i]:((Z0 @ X94))))))|~((X5 @ (^[Z0/* 5 */:$i > $o]:(?[X95:$i]:(((Z0 @ X95)&(epred6_1 @ X5 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X95)))&(Z0 @ Z1)))))))))))|~((X5 @ (^[Z0/* 7 */:$i > $o]:(~(?[X96:$i]:((Z0 @ X96)))))))|~((epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X97:$i]:((Z0 @ X97))))))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_22, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(((X5 @ epred5_0)|~((X5 @ (^[Z0/* 5 */:$i > $o]:(?[X98:$i]:(((Z0 @ X98)&(epred6_1 @ X5 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X98)))&(Z0 @ Z1)))))))))))|~((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X99:$i]:((Z0 @ X99)))))))|~((X5 @ (^[Z0/* 7 */:$i > $o]:(~(?[X100:$i]:((Z0 @ X100))))))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_11])]), c_0_12])).
% 0.19/0.50 thf(c_0_23, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(((epred1_0 @ epred3_0)|(X5 @ (epred6_1 @ X5))|(X5 @ epred5_0)|(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X101:$i]:((Z0 @ X101))))))|~((X5 @ (^[Z0/* 7 */:$i > $o]:(~(?[X102:$i]:((Z0 @ X102)))))))|~((epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X103:$i]:((Z0 @ X103))))))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_24, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(((X5 @ (epred6_1 @ X5))|(X5 @ epred5_0)|~((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X104:$i]:((Z0 @ X104)))))))|~((X5 @ (^[Z0/* 7 */:$i > $o]:(~(?[X105:$i]:((Z0 @ X105))))))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_11])]), c_0_12])).
% 0.19/0.50 thf(c_0_25, negated_conjecture, ((epred1_0 @ epred3_0)|(epred7_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X106:$i]:((Z0 @ X106))))))|~((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X107:$i]:(((Z0 @ X107)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X107)))&(Z0 @ Z1)))))))))))|~((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X108:$i]:((Z0 @ X108)))))))|~((epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X109:$i]:((Z0 @ X109)))))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_26, negated_conjecture, ((epred7_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X110:$i]:((Z0 @ X110))))))|(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X111:$i]:((Z0 @ X111))))))|~((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X112:$i]:(((Z0 @ X112)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X112)))&(Z0 @ Z1)))))))))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_11])]), c_0_12])).
% 0.19/0.50 thf(c_0_27, negated_conjecture, (~((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X113:$i]:(((Z0 @ X113)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X113)))&(Z0 @ Z1)))))))))))|~((epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X114:$i]:(((Z0 @ X114)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X114)))&(Z0 @ Z1)))))))))))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_11])]), c_0_12]), c_0_18])).
% 0.19/0.50 thf(c_0_28, negated_conjecture, ![X3:($i > $o) > $o]:(((epred7_0 @ (^[Z0/* 5 */:$i > $o]:(?[X115:$i]:(((Z0 @ X115)&(X3 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X115)))&(Z0 @ Z1))))))))))|~((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X116:$i]:(((Z0 @ X116)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X116)))&(Z0 @ Z1)))))))))))|~((epred7_0 @ X3)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_11])]), c_0_12]), c_0_20])).
% 0.19/0.50 thf(c_0_29, negated_conjecture, ((epred1_0 @ epred3_0)|(epred1_0 @ epred5_0)|~((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X117:$i]:((Z0 @ X117)))))))|~((epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X118:$i]:((Z0 @ X118)))))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_30, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(((X5 @ epred5_0)|~((X5 @ (^[Z0/* 5 */:$i > $o]:(?[X119:$i]:(((Z0 @ X119)&(epred6_1 @ X5 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X119)))&(Z0 @ Z1)))))))))))|~((X5 @ (^[Z0/* 7 */:$i > $o]:(~(?[X120:$i]:((Z0 @ X120))))))))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_11])]), c_0_12]), c_0_22])).
% 0.19/0.50 thf(c_0_31, negated_conjecture, ![X5:(($i > $o) > $o) > $o]:(((X5 @ (epred6_1 @ X5))|(X5 @ epred5_0)|~((X5 @ (^[Z0/* 7 */:$i > $o]:(~(?[X121:$i]:((Z0 @ X121))))))))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_11])]), c_0_12]), c_0_24])).
% 0.19/0.50 thf(c_0_32, negated_conjecture, ((epred7_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X122:$i]:((Z0 @ X122))))))|~((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X123:$i]:(((Z0 @ X123)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X123)))&(Z0 @ Z1)))))))))))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_11])]), c_0_12]), c_0_26])).
% 0.19/0.50 thf(c_0_33, negated_conjecture, (~((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X124:$i]:(((Z0 @ X124)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X124)))&(Z0 @ Z1)))))))))))|~((epred7_0 @ epred5_0))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 0.19/0.50 thf(c_0_34, negated_conjecture, ![X6:($i > $o) > $o, X3:($i > $o) > $o]:(((epred2_1 @ X3 @ (^[Z0/* 5 */:$i > $o]:(?[X125:$i]:(((Z0 @ X125)&(X6 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X125)))&(Z0 @ Z1))))))))))|(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X126:$i]:(((Z0 @ X126)&(X3 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X126)))&(Z0 @ Z1))))))))))|~((epred2_1 @ X3 @ X6))|~((epred1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_35, negated_conjecture, ![X3:($i > $o) > $o]:(((epred2_1 @ X3 @ (^[Z0/* 7 */:$i > $o]:(~(?[X127:$i]:((Z0 @ X127))))))|(epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X128:$i]:(((Z0 @ X128)&(X3 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X128)))&(Z0 @ Z1))))))))))|~((epred1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_36, negated_conjecture, ((epred1_0 @ epred3_0)|(epred1_0 @ epred5_0)|(epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X129:$i]:((Z0 @ X129))))))|~((epred1_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X130:$i]:((Z0 @ X130)))))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_37, negated_conjecture, ((epred1_0 @ epred5_0)|~((epred4_0 @ (^[Z0/* 7 */:$i > $o]:(~(?[X131:$i]:((Z0 @ X131)))))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_11])]), c_0_12])).
% 0.19/0.50 thf(c_0_38, negated_conjecture, ~((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X132:$i]:(((Z0 @ X132)&(epred5_0 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X132)))&(Z0 @ Z1))))))))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_28]), c_0_31]), c_0_32]), c_0_33])).
% 0.19/0.50 thf(c_0_39, negated_conjecture, ![X3:($i > $o) > $o]:(((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X133:$i]:(((Z0 @ X133)&(X3 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X133)))&(Z0 @ Z1))))))))))|(epred2_1 @ X3 @ epred5_0)|~((epred1_0 @ X3)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_34]), c_0_31]), c_0_35])).
% 0.19/0.50 thf(c_0_40, negated_conjecture, (epred1_0 @ epred5_0), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_11])]), c_0_12]), c_0_37])).
% 0.19/0.50 thf(c_0_41, negated_conjecture, ![X3:($i > $o) > $o]:(((epred1_0 @ (^[Z0/* 5 */:$i > $o]:(?[X134:$i]:(((Z0 @ X134)&(X3 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X134)))&(Z0 @ Z1))))))))))|~((epred2_1 @ X3 @ X3))|~((epred1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.19/0.50 thf(c_0_42, negated_conjecture, (epred2_1 @ epred5_0 @ epred5_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])])).
% 0.19/0.50 thf(c_0_43, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_40])]), c_0_38]), ['proof']).
% 0.19/0.50 # SZS output end CNFRefutation
% 0.19/0.50 # Parsed axioms : 7
% 0.19/0.50 # Removed by relevancy pruning/SinE : 0
% 0.19/0.50 # Initial clauses : 62
% 0.19/0.50 # Removed in clause preprocessing : 3
% 0.19/0.50 # Initial clauses in saturation : 59
% 0.19/0.50 # Processed clauses : 79
% 0.19/0.50 # ...of these trivial : 7
% 0.19/0.50 # ...subsumed : 35
% 0.19/0.50 # ...remaining for further processing : 37
% 0.19/0.50 # Other redundant clauses eliminated : 0
% 0.19/0.50 # Clauses deleted for lack of memory : 0
% 0.19/0.50 # Backward-subsumed : 11
% 0.19/0.50 # Backward-rewritten : 2
% 0.19/0.50 # Generated clauses : 18
% 0.19/0.50 # ...of the previous two non-redundant : 14
% 0.19/0.50 # ...aggressively subsumed : 0
% 0.19/0.50 # Contextual simplify-reflections : 11
% 0.19/0.50 # Paramodulations : 18
% 0.19/0.50 # Factorizations : 0
% 0.19/0.50 # NegExts : 0
% 0.19/0.50 # Equation resolutions : 0
% 0.19/0.50 # Disequality decompositions : 0
% 0.19/0.50 # Total rewrite steps : 76
% 0.19/0.50 # ...of those cached : 73
% 0.19/0.50 # Propositional unsat checks : 0
% 0.19/0.50 # Propositional check models : 0
% 0.19/0.50 # Propositional check unsatisfiable : 0
% 0.19/0.50 # Propositional clauses : 0
% 0.19/0.50 # Propositional clauses after purity: 0
% 0.19/0.50 # Propositional unsat core size : 0
% 0.19/0.50 # Propositional preprocessing time : 0.000
% 0.19/0.50 # Propositional encoding time : 0.000
% 0.19/0.50 # Propositional solver time : 0.000
% 0.19/0.50 # Success case prop preproc time : 0.000
% 0.19/0.50 # Success case prop encoding time : 0.000
% 0.19/0.50 # Success case prop solver time : 0.000
% 0.19/0.50 # Current number of processed clauses : 13
% 0.19/0.50 # Positive orientable unit clauses : 3
% 0.19/0.50 # Positive unorientable unit clauses: 0
% 0.19/0.50 # Negative unit clauses : 2
% 0.19/0.50 # Non-unit-clauses : 8
% 0.19/0.50 # Current number of unprocessed clauses: 5
% 0.19/0.50 # ...number of literals in the above : 11
% 0.19/0.50 # Current number of archived formulas : 0
% 0.19/0.50 # Current number of archived clauses : 24
% 0.19/0.50 # Clause-clause subsumption calls (NU) : 264
% 0.19/0.50 # Rec. Clause-clause subsumption calls : 129
% 0.19/0.50 # Non-unit clause-clause subsumptions : 52
% 0.19/0.50 # Unit Clause-clause subsumption calls : 13
% 0.19/0.50 # Rewrite failures with RHS unbound : 0
% 0.19/0.50 # BW rewrite match attempts : 2
% 0.19/0.50 # BW rewrite match successes : 2
% 0.19/0.50 # Condensation attempts : 79
% 0.19/0.50 # Condensation successes : 0
% 0.19/0.50 # Termbank termtop insertions : 22600
% 0.19/0.50 # Search garbage collected termcells : 1348
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.020 s
% 0.19/0.50 # System time : 0.002 s
% 0.19/0.50 # Total time : 0.022 s
% 0.19/0.50 # Maximum resident set size: 2064 pages
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.020 s
% 0.19/0.50 # System time : 0.006 s
% 0.19/0.50 # Total time : 0.026 s
% 0.19/0.50 # Maximum resident set size: 1740 pages
% 0.19/0.50 % E---3.1 exiting
% 0.19/0.50 % E exiting
%------------------------------------------------------------------------------