TSTP Solution File: SEU876^5 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU876^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 03:30:44 EDT 2024
% Result : Theorem 8.52s 1.57s
% Output : CNFRefutation 8.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU876^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 16:42:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running higher-order theorem proving
% 0.21/0.48 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/benchmark/theBenchmark.p
% 8.52/1.57 # Version: 3.1.0-ho
% 8.52/1.57 # Preprocessing class: HSMSSMSSSSMNHHA.
% 8.52/1.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.52/1.57 # Starting ehoh_best4_fo with 1200s (4) cores
% 8.52/1.57 # Starting ehoh_best_nonlift_rwall with 600s (2) cores
% 8.52/1.57 # Starting lpo1_lambda_fix with 300s (1) cores
% 8.52/1.57 # Starting full_lambda_9 with 300s (1) cores
% 8.52/1.57 # ehoh_best4_fo with pid 11795 completed with status 0
% 8.52/1.57 # Result found by ehoh_best4_fo
% 8.52/1.57 # Preprocessing class: HSMSSMSSSSMNHHA.
% 8.52/1.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.52/1.57 # Starting ehoh_best4_fo with 1200s (4) cores
% 8.52/1.57 # No SInE strategy applied
% 8.52/1.57 # Search class: HGHNF-FFMF11-MHHFFMBN
% 8.52/1.57 # partial match(2): HGHNF-FFSF11-SHHFFMBN
% 8.52/1.57 # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 8.52/1.57 # Starting ehoh_best_nonlift with 649s (1) cores
% 8.52/1.57 # Starting ehoh_best4_fo with 121s (1) cores
% 8.52/1.57 # Starting ehoh_best_sine_rwall with 109s (1) cores
% 8.52/1.57 # Starting lpo1_def_fix with 109s (1) cores
% 8.52/1.57 # lpo1_def_fix with pid 11808 completed with status 0
% 8.52/1.57 # Result found by lpo1_def_fix
% 8.52/1.57 # Preprocessing class: HSMSSMSSSSMNHHA.
% 8.52/1.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.52/1.57 # Starting ehoh_best4_fo with 1200s (4) cores
% 8.52/1.57 # No SInE strategy applied
% 8.52/1.57 # Search class: HGHNF-FFMF11-MHHFFMBN
% 8.52/1.57 # partial match(2): HGHNF-FFSF11-SHHFFMBN
% 8.52/1.57 # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 8.52/1.57 # Starting ehoh_best_nonlift with 649s (1) cores
% 8.52/1.57 # Starting ehoh_best4_fo with 121s (1) cores
% 8.52/1.57 # Starting ehoh_best_sine_rwall with 109s (1) cores
% 8.52/1.57 # Starting lpo1_def_fix with 109s (1) cores
% 8.52/1.57 # Preprocessing time : 0.002 s
% 8.52/1.57 # Presaturation interreduction done
% 8.52/1.57
% 8.52/1.57 # Proof found!
% 8.52/1.57 # SZS status Theorem
% 8.52/1.57 # SZS output start CNFRefutation
% 8.52/1.57 thf(decl_sort1, type, a: $tType).
% 8.52/1.57 thf(decl_22, type, cE: a > $o).
% 8.52/1.57 thf(decl_23, type, cA: (a > $o) > $o).
% 8.52/1.57 thf(decl_24, type, epred1_0: $o).
% 8.52/1.57 thf(decl_25, type, epred2_1: ((a > $o) > $o) > a > $o).
% 8.52/1.57 thf(decl_26, type, esk1_1: ((a > $o) > $o) > a).
% 8.52/1.57 thf(decl_27, type, epred3_0: a > $o).
% 8.52/1.57 thf(decl_28, type, epred4_0: a > $o).
% 8.52/1.57 thf(decl_29, type, epred5_1: (a > $o) > (a > $o) > $o).
% 8.52/1.57 thf(decl_30, type, esk2_1: (a > $o) > a).
% 8.52/1.57 thf(decl_31, type, epred6_1: (a > $o) > a > $o).
% 8.52/1.57 thf(decl_32, type, esk3_1: (a > $o) > a).
% 8.52/1.57 thf(cDOMLEMMA4_pme, conjecture, (![X1:(a > $o) > $o]:((((X1 @ (^[X2:a]:(~($true))))&![X3:a > $o]:(((X1 @ X3)=>![X4:a]:(((cE @ X4)=>(X1 @ (^[X5:a]:(((X3 @ X5)|((X4)=(X5)))))))))))=>(X1 @ cE)))=>(![X3:a > $o]:((((cA @ X3)&![X6:a]:(((cE @ X6)=>(X3 @ X6))))=>(cA @ X3)))&![X3:a > $o]:((((cA @ X3)&![X6:a]:(((cE @ X6)=>(X3 @ X6))))=>?[X7:a > $o]:(((![X1:(a > $o) > $o]:((((X1 @ (^[X2:a]:(~($true))))&![X8:a > $o]:(((X1 @ X8)=>![X4:a]:(((X7 @ X4)=>(X1 @ (^[X5:a]:(((X8 @ X5)|((X4)=(X5)))))))))))=>(X1 @ X7)))&![X6:a]:(((X7 @ X6)=>(X3 @ X6))))&![X9:a > $o]:((((cA @ X9)&![X6:a]:(((X7 @ X6)=>(X9 @ X6))))=>((cA @ X9)&![X6:a]:(((cE @ X6)=>(X9 @ X6)))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cDOMLEMMA4_pme)).
% 8.52/1.57 thf(c_0_1, plain, ((epred1_0)<=>![X3:a > $o]:((((cA @ X3)&![X6:a]:(((cE @ X6)=>(X3 @ X6))))=>?[X7:a > $o]:(((![X1:(a > $o) > $o]:((((X1 @ (^[Z0/* 7 */:a]:(~($true))))&![X8:a > $o]:(((X1 @ X8)=>![X4:a]:(((X7 @ X4)=>(X1 @ (^[Z0/* 9 */:a]:((X8 @ Z0|((X4)=(Z0)))))))))))=>(X1 @ X7)))&![X6:a]:(((X7 @ X6)=>(X3 @ X6))))&![X9:a > $o]:((((cA @ X9)&![X6:a]:(((X7 @ X6)=>(X9 @ X6))))=>((cA @ X9)&![X6:a]:(((cE @ X6)=>(X9 @ X6))))))))))), introduced(definition)).
% 8.52/1.57 thf(c_0_2, negated_conjecture, ~((![X1:(a > $o) > $o]:((((X1 @ (^[Z0/* 7 */:a]:(~($true))))&![X3:a > $o]:(((X1 @ X3)=>![X4:a]:(((cE @ X4)=>(X1 @ (^[Z0/* 9 */:a]:((X3 @ Z0|((X4)=(Z0)))))))))))=>(X1 @ cE)))=>(![X3:a > $o]:((((cA @ X3)&![X6:a]:(((cE @ X6)=>(X3 @ X6))))=>(cA @ X3)))&(epred1_0)))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cDOMLEMMA4_pme])]), c_0_1])).
% 8.52/1.57 thf(c_0_3, negated_conjecture, ![X25:(a > $o) > $o, X29:a]:(((((X25 @ (epred2_1 @ X25))|~(X25 @ (^[Z0/* 7 */:a]:(~($true))))|(X25 @ cE))&(((cE @ (esk1_1 @ X25))|~(X25 @ (^[Z0/* 7 */:a]:(~($true))))|(X25 @ cE))&(~(X25 @ (^[Z0/* 9 */:a]:((epred2_1 @ X25 @ Z0|((esk1_1 @ X25)=(Z0))))))|~(X25 @ (^[Z0/* 7 */:a]:(~($true))))|(X25 @ cE))))&((((cA @ epred3_0)|~(epred1_0))&(~(cE @ X29)|(epred3_0 @ X29)|~(epred1_0)))&(~(cA @ epred3_0)|~(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(fof_nnf,[status(thm)],[c_0_2])])])])])])).
% 8.52/1.57 thf(c_0_4, negated_conjecture, ![X1:(a > $o) > $o]:(((X1 @ (epred2_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0/* 7 */:a]:(~(($true)))))))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 8.52/1.57 thf(c_0_5, plain, (![X3:a > $o]:((((cA @ X3)&![X6:a]:(((cE @ X6)=>(X3 @ X6))))=>?[X7:a > $o]:(((![X1:(a > $o) > $o]:((((X1 @ (^[Z0/* 7 */:a]:(~($true))))&![X8:a > $o]:(((X1 @ X8)=>![X4:a]:(((X7 @ X4)=>(X1 @ (^[Z0/* 9 */:a]:((X8 @ Z0|((X4)=(Z0)))))))))))=>(X1 @ X7)))&![X6:a]:(((X7 @ X6)=>(X3 @ X6))))&![X9:a > $o]:((((cA @ X9)&![X6:a]:(((X7 @ X6)=>(X9 @ X6))))=>((cA @ X9)&![X6:a]:(((cE @ X6)=>(X9 @ X6))))))))))=>(epred1_0)), inference(split_equiv,[status(thm)],[c_0_1])).
% 8.52/1.57 thf(c_0_6, negated_conjecture, ![X1:(a > $o) > $o]:(((X1 @ (epred2_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0/* 4 */:a]:(~($true))))))), inference(cn,[status(thm)],[c_0_4])).
% 8.52/1.57 thf(c_0_7, plain, ![X31:a, X32:a > $o, X34:a > $o, X35:a, X38:a]:(((((cA @ epred4_0)|(epred1_0))&(~(cE @ X31)|(epred4_0 @ X31)|(epred1_0)))&(((((((cA @ (epred6_1 @ X32))|((X32 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0/* 7 */:a]:(~($true)))))|(epred1_0))&(~(X32 @ X38)|(epred6_1 @ X32 @ X38)|((X32 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0/* 7 */:a]:(~($true)))))|(epred1_0)))&(((cE @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|((X32 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0/* 7 */:a]:(~($true)))))|(epred1_0))&(~(epred6_1 @ X32 @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|((X32 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0/* 7 */:a]:(~($true)))))|(epred1_0))))&((((cA @ (epred6_1 @ X32))|(~(epred4_0 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0/* 7 */:a]:(~($true)))))|(epred1_0))&(~(X32 @ X38)|(epred6_1 @ X32 @ X38)|(~(epred4_0 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0/* 7 */:a]:(~($true)))))|(epred1_0)))&(((cE @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|(~(epred4_0 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0/* 7 */:a]:(~($true)))))|(epred1_0))&(~(epred6_1 @ X32 @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|(~(epred4_0 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0/* 7 */:a]:(~($true)))))|(epred1_0)))))&(((((cA @ (epred6_1 @ X32))|((X32 @ (esk2_1 @ X32))|(~(epred5_1 @ X32 @ X34)|(~(X32 @ X35)|(epred5_1 @ X32 @ (^[Z0/* 9 */:a]:((X34 @ Z0|((X35)=(Z0)))))))))|(epred1_0))&(~(X32 @ X38)|(epred6_1 @ X32 @ X38)|((X32 @ (esk2_1 @ X32))|(~(epred5_1 @ X32 @ X34)|(~(X32 @ X35)|(epred5_1 @ X32 @ (^[Z0/* 9 */:a]:((X34 @ Z0|((X35)=(Z0)))))))))|(epred1_0)))&(((cE @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|((X32 @ (esk2_1 @ X32))|(~(epred5_1 @ X32 @ X34)|(~(X32 @ X35)|(epred5_1 @ X32 @ (^[Z0/* 9 */:a]:((X34 @ Z0|((X35)=(Z0)))))))))|(epred1_0))&(~(epred6_1 @ X32 @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|((X32 @ (esk2_1 @ X32))|(~(epred5_1 @ X32 @ X34)|(~(X32 @ X35)|(epred5_1 @ X32 @ (^[Z0/* 9 */:a]:((X34 @ Z0|((X35)=(Z0)))))))))|(epred1_0))))&((((cA @ (epred6_1 @ X32))|(~(epred4_0 @ (esk2_1 @ X32))|(~(epred5_1 @ X32 @ X34)|(~(X32 @ X35)|(epred5_1 @ X32 @ (^[Z0/* 9 */:a]:((X34 @ Z0|((X35)=(Z0)))))))))|(epred1_0))&(~(X32 @ X38)|(epred6_1 @ X32 @ X38)|(~(epred4_0 @ (esk2_1 @ X32))|(~(epred5_1 @ X32 @ X34)|(~(X32 @ X35)|(epred5_1 @ X32 @ (^[Z0/* 9 */:a]:((X34 @ Z0|((X35)=(Z0)))))))))|(epred1_0)))&(((cE @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|(~(epred4_0 @ (esk2_1 @ X32))|(~(epred5_1 @ X32 @ X34)|(~(X32 @ X35)|(epred5_1 @ X32 @ (^[Z0/* 9 */:a]:((X34 @ Z0|((X35)=(Z0)))))))))|(epred1_0))&(~(epred6_1 @ X32 @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|(~(epred4_0 @ (esk2_1 @ X32))|(~(epred5_1 @ X32 @ X34)|(~(X32 @ X35)|(epred5_1 @ X32 @ (^[Z0/* 9 */:a]:((X34 @ Z0|((X35)=(Z0)))))))))|(epred1_0))))))&(((((cA @ (epred6_1 @ X32))|((X32 @ (esk2_1 @ X32))|~(epred5_1 @ X32 @ X32))|(epred1_0))&(~(X32 @ X38)|(epred6_1 @ X32 @ X38)|((X32 @ (esk2_1 @ X32))|~(epred5_1 @ X32 @ X32))|(epred1_0)))&(((cE @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|((X32 @ (esk2_1 @ X32))|~(epred5_1 @ X32 @ X32))|(epred1_0))&(~(epred6_1 @ X32 @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|((X32 @ (esk2_1 @ X32))|~(epred5_1 @ X32 @ X32))|(epred1_0))))&((((cA @ (epred6_1 @ X32))|(~(epred4_0 @ (esk2_1 @ X32))|~(epred5_1 @ X32 @ X32))|(epred1_0))&(~(X32 @ X38)|(epred6_1 @ X32 @ X38)|(~(epred4_0 @ (esk2_1 @ X32))|~(epred5_1 @ X32 @ X32))|(epred1_0)))&(((cE @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|(~(epred4_0 @ (esk2_1 @ X32))|~(epred5_1 @ X32 @ X32))|(epred1_0))&(~(epred6_1 @ X32 @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|(~(epred4_0 @ (esk2_1 @ X32))|~(epred5_1 @ X32 @ X32))|(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(fof_nnf,[status(thm)],[c_0_5])])])])])])).
% 8.52/1.57 thf(c_0_8, negated_conjecture, (~((cA @ epred3_0))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 8.52/1.57 thf(c_0_9, negated_conjecture, ((cA @ epred3_0)|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 8.52/1.57 thf(c_0_10, plain, ![X1:(a > $o) > $o]:(((X1 @ cE)|((X1 @ (epred2_1 @ X1))<~>(X1 @ cE))|~((X1 @ (^[Z0/* 4 */:a]:(~($true))))))), inference(ext_eqfact,[status(thm)],[c_0_6])).
% 8.52/1.57 thf(c_0_11, plain, ![X3:a > $o]:(((cE @ (esk3_1 @ X3))|(X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 7 */:a]:(~(($true)))))|(epred1_0)|~((cA @ (epred6_1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_12, negated_conjecture, ~((epred1_0)), inference(csr,[status(thm)],[c_0_8, c_0_9])).
% 8.52/1.57 thf(c_0_13, plain, ![X3:a > $o]:(((cA @ (epred6_1 @ X3))|(X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 7 */:a]:(~(($true)))))|(epred1_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_14, plain, ![X1:(a > $o) > $o]:(((X1 @ (epred2_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0/* 4 */:a]:(~($true))))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_10])])])).
% 8.52/1.57 thf(c_0_15, plain, ![X3:a > $o, X2:a]:(((epred6_1 @ X3 @ X2)|(X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 7 */:a]:(~(($true)))))|(epred1_0)|~((X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_16, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|(cE @ (esk3_1 @ X3))|(X3 @ (esk2_1 @ X3))|~((cA @ (epred6_1 @ X3))))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_11, c_0_12])])).
% 8.52/1.57 thf(c_0_17, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|(cA @ (epred6_1 @ X3))|(X3 @ (esk2_1 @ X3)))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_13, c_0_12])])).
% 8.52/1.57 thf(c_0_18, plain, ![X3:a > $o]:(((X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 7 */:a]:(~(($true)))))|(epred1_0)|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((cA @ (epred6_1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_19, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((cA @ (epred6_1 @ X3))|(X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X2)=(Z0))))))|(epred1_0)|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_20, plain, ![X1:(a > $o) > $o]:(((X1 @ cE)|((X1 @ (epred2_1 @ X1))<~>(X1 @ cE))|~((X1 @ (^[Z0/* 4 */:a]:(~($true))))))), inference(ext_eqfact,[status(thm)],[c_0_14])).
% 8.52/1.57 thf(c_0_21, plain, ![X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|(X3 @ (esk2_1 @ X3))|(epred6_1 @ X3 @ X2)|~((X3 @ X2)))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_15, c_0_12])])).
% 8.52/1.57 thf(c_0_22, plain, ![X3:a > $o]:(((cE @ (esk3_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|(X3 @ (esk2_1 @ X3)))), inference(csr,[status(thm)],[c_0_16, c_0_17])).
% 8.52/1.57 thf(c_0_23, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|(X3 @ (esk2_1 @ X3))|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((cA @ (epred6_1 @ X3))))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_18, c_0_12])])).
% 8.52/1.57 thf(c_0_24, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((cE @ (esk3_1 @ X3))|(X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X2)=(Z0))))))|(epred1_0)|~((cA @ (epred6_1 @ X3)))|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_25, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X2)=(Z0))))))|(cA @ (epred6_1 @ X3))|(X3 @ (esk2_1 @ X3))|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(sr,[status(thm)],[c_0_19, c_0_12])).
% 8.52/1.57 thf(c_0_26, plain, ![X1:(a > $o) > $o]:(((X1 @ (epred2_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0/* 4 */:a]:(~($true))))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_20])])])).
% 8.52/1.57 thf(c_0_27, negated_conjecture, ![X1:(a > $o) > $o]:(((cE @ (esk1_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0/* 7 */:a]:(~(($true)))))))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 8.52/1.57 thf(c_0_28, plain, ![X3:a > $o]:(((epred6_1 @ cE @ (esk3_1 @ X3))|(cE @ (esk2_1 @ cE))|(epred5_1 @ cE @ (^[Z0/* 4 */:a]:(~($true))))|(epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|(X3 @ (esk2_1 @ X3)))), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 8.52/1.57 thf(c_0_29, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|(X3 @ (esk2_1 @ X3))|~((epred6_1 @ X3 @ (esk3_1 @ X3))))), inference(csr,[status(thm)],[c_0_23, c_0_17])).
% 8.52/1.57 thf(c_0_30, plain, ![X3:a > $o]:(((cA @ (epred6_1 @ X3))|(X3 @ (esk2_1 @ X3))|(epred1_0)|~((epred5_1 @ X3 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_31, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X2)=(Z0))))))|(cE @ (esk3_1 @ X3))|(X3 @ (esk2_1 @ X3))|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_24, c_0_12]), c_0_25])).
% 8.52/1.57 thf(c_0_32, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (epred2_1 @ (epred5_1 @ X3)))|(cE @ (esk3_1 @ X3))|(epred5_1 @ X3 @ cE)|(X3 @ (esk2_1 @ X3)))), inference(spm,[status(thm)],[c_0_26, c_0_22])).
% 8.52/1.57 thf(c_0_33, negated_conjecture, ![X1:(a > $o) > $o]:(((cE @ (esk1_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0/* 4 */:a]:(~($true))))))), inference(cn,[status(thm)],[c_0_27])).
% 8.52/1.57 thf(c_0_34, plain, ((epred5_1 @ cE @ (^[Z0/* 4 */:a]:(~($true))))|(cE @ (esk2_1 @ cE))), inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_28]), c_0_29])).
% 8.52/1.57 thf(c_0_35, plain, ![X3:a > $o]:(((cE @ (esk3_1 @ X3))|(X3 @ (esk2_1 @ X3))|(epred1_0)|~((cA @ (epred6_1 @ X3)))|~((epred5_1 @ X3 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_36, plain, ![X3:a > $o]:(((cA @ (epred6_1 @ X3))|(X3 @ (esk2_1 @ X3))|~((epred5_1 @ X3 @ X3)))), inference(sr,[status(thm)],[c_0_30, c_0_12])).
% 8.52/1.57 thf(c_0_37, negated_conjecture, ![X1:(a > $o) > $o]:(((X1 @ cE)|~((X1 @ (^[Z0/* 9 */:a]:(((epred2_1 @ X1 @ Z0)|((esk1_1 @ X1)=(Z0)))))))|~((X1 @ (^[Z0/* 7 */:a]:(~(($true)))))))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 8.52/1.57 thf(c_0_38, plain, ![X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((epred2_1 @ (epred5_1 @ X3) @ Z0)|((X2)=(Z0))))))|(epred5_1 @ X3 @ cE)|(cE @ (esk3_1 @ X3))|(X3 @ (esk2_1 @ X3))|~((X3 @ X2)))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
% 8.52/1.57 thf(c_0_39, negated_conjecture, ((cE @ (esk1_1 @ (epred5_1 @ cE)))|(cE @ (esk2_1 @ cE))|(epred5_1 @ cE @ cE)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
% 8.52/1.57 thf(c_0_40, plain, ![X3:a > $o]:(((cE @ (esk3_1 @ X3))|(X3 @ (esk2_1 @ X3))|~((epred5_1 @ X3 @ X3)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_35, c_0_12]), c_0_36])).
% 8.52/1.57 thf(c_0_41, plain, ![X2:a, X3:a > $o]:(((epred6_1 @ X3 @ X2)|(X3 @ (esk2_1 @ X3))|(epred1_0)|~((X3 @ X2))|~((epred5_1 @ X3 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_42, negated_conjecture, ![X1:(a > $o) > $o]:(((X1 @ cE)|~((X1 @ (^[Z0/* 9 */:a]:(((epred2_1 @ X1 @ Z0)|((esk1_1 @ X1)=(Z0)))))))|~((X1 @ (^[Z0/* 4 */:a]:(~($true))))))), inference(cn,[status(thm)],[c_0_37])).
% 8.52/1.57 thf(c_0_43, negated_conjecture, ((epred5_1 @ cE @ (^[Z0/* 9 */:a]:(((epred2_1 @ (epred5_1 @ cE) @ Z0)|((esk1_1 @ (epred5_1 @ cE))=(Z0))))))|(cE @ (esk2_1 @ cE))|(cE @ (esk3_1 @ cE))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])).
% 8.52/1.57 thf(c_0_44, plain, ![X3:a > $o]:(((X3 @ (esk2_1 @ X3))|(epred1_0)|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((cA @ (epred6_1 @ X3)))|~((epred5_1 @ X3 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_45, plain, ![X2:a]:(((epred4_0 @ X2)|(epred1_0)|~((cE @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_46, plain, ![X3:a > $o, X2:a]:(((X3 @ (esk2_1 @ X3))|(epred6_1 @ X3 @ X2)|~((epred5_1 @ X3 @ X3))|~((X3 @ X2)))), inference(sr,[status(thm)],[c_0_41, c_0_12])).
% 8.52/1.57 thf(c_0_47, negated_conjecture, ((cE @ (esk3_1 @ cE))|(cE @ (esk2_1 @ cE))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_22]), c_0_40])).
% 8.52/1.57 thf(c_0_48, plain, ![X3:a > $o]:(((X3 @ (esk2_1 @ X3))|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((epred5_1 @ X3 @ X3)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_44, c_0_12]), c_0_36])).
% 8.52/1.57 thf(c_0_49, plain, ![X2:a, X3:a > $o]:(((epred6_1 @ X3 @ X2)|(epred1_0)|~((X3 @ X2))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_50, plain, ![X2:a]:(((epred4_0 @ X2)|~((cE @ X2)))), inference(sr,[status(thm)],[c_0_45, c_0_12])).
% 8.52/1.57 thf(c_0_51, plain, ((cE @ (esk2_1 @ cE))|~((epred5_1 @ cE @ cE))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48])).
% 8.52/1.57 thf(c_0_52, plain, ![X3:a > $o]:(((cA @ (epred6_1 @ X3))|(epred1_0)|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_53, plain, ![X3:a > $o, X2:a]:(((epred6_1 @ X3 @ X2)|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X3))|~((X3 @ X2)))), inference(sr,[status(thm)],[c_0_49, c_0_12])).
% 8.52/1.57 thf(c_0_54, plain, ((epred4_0 @ (esk2_1 @ cE))|~((epred5_1 @ cE @ cE))), inference(spm,[status(thm)],[c_0_50, c_0_51])).
% 8.52/1.57 thf(c_0_55, plain, ![X3:a > $o]:(((cE @ (esk3_1 @ X3))|(epred1_0)|~((cA @ (epred6_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_56, plain, ![X3:a > $o]:(((cA @ (epred6_1 @ X3))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X3)))), inference(sr,[status(thm)],[c_0_52, c_0_12])).
% 8.52/1.57 thf(c_0_57, plain, ![X2:a, X3:a > $o, X7:a > $o, X4:a]:(((epred6_1 @ X3 @ X2)|(X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X4)=(Z0))))))|(epred1_0)|~((X3 @ X2))|~((epred5_1 @ X3 @ X7))|~((X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_58, plain, ![X3:a > $o]:(((epred1_0)|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((cA @ (epred6_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_59, plain, ![X2:a]:(((epred6_1 @ cE @ X2)|~((epred5_1 @ cE @ cE))|~((cE @ X2)))), inference(spm,[status(thm)],[c_0_53, c_0_54])).
% 8.52/1.57 thf(c_0_60, plain, ![X3:a > $o]:(((cE @ (esk3_1 @ X3))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X3)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_55, c_0_12]), c_0_56])).
% 8.52/1.57 thf(c_0_61, plain, ![X2:a, X3:a > $o, X7:a > $o, X4:a]:(((epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X2)=(Z0))))))|(X3 @ (esk2_1 @ X3))|(epred6_1 @ X3 @ X4)|~((epred5_1 @ X3 @ X7))|~((X3 @ X2))|~((X3 @ X4)))), inference(sr,[status(thm)],[c_0_57, c_0_12])).
% 8.52/1.57 thf(c_0_62, plain, ((epred5_1 @ cE @ (epred2_1 @ (epred5_1 @ cE)))|(cE @ (esk2_1 @ cE))|(epred5_1 @ cE @ cE)), inference(spm,[status(thm)],[c_0_26, c_0_34])).
% 8.52/1.57 thf(c_0_63, plain, ![X3:a > $o]:((~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X3)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_58, c_0_12]), c_0_56])).
% 8.52/1.57 thf(c_0_64, plain, ![X3:a > $o]:(((epred6_1 @ cE @ (esk3_1 @ X3))|~((epred5_1 @ cE @ cE))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X3)))), inference(spm,[status(thm)],[c_0_59, c_0_60])).
% 8.52/1.57 thf(c_0_65, plain, ![X2:a, X4:a]:(((epred5_1 @ cE @ (^[Z0/* 9 */:a]:(((epred2_1 @ (epred5_1 @ cE) @ Z0)|((X2)=(Z0))))))|(cE @ (esk2_1 @ cE))|(epred6_1 @ cE @ X4)|~((cE @ X2))|~((cE @ X4)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_46])).
% 8.52/1.57 thf(c_0_66, plain, ~((epred5_1 @ cE @ cE)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_54])).
% 8.52/1.57 thf(c_0_67, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X2)=(Z0))))))|(epred1_0)|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((cA @ (epred6_1 @ X3)))|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_68, plain, ![X2:a]:(((epred5_1 @ cE @ (^[Z0/* 9 */:a]:(((epred2_1 @ (epred5_1 @ cE) @ Z0)|((X2)=(Z0))))))|(epred6_1 @ cE @ (esk3_1 @ cE))|(cE @ (esk2_1 @ cE))|~((cE @ X2)))), inference(spm,[status(thm)],[c_0_65, c_0_47])).
% 8.52/1.57 thf(c_0_69, negated_conjecture, ((cE @ (esk1_1 @ (epred5_1 @ cE)))|(cE @ (esk2_1 @ cE))), inference(sr,[status(thm)],[c_0_39, c_0_66])).
% 8.52/1.57 thf(c_0_70, plain, ![X3:a > $o]:(((cA @ (epred6_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 7 */:a]:(~(($true)))))|(epred1_0)|~((epred4_0 @ (esk2_1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_71, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X2)=(Z0))))))|(X3 @ (esk2_1 @ X3))|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_67, c_0_12]), c_0_25])).
% 8.52/1.57 thf(c_0_72, negated_conjecture, ((epred6_1 @ cE @ (esk3_1 @ cE))|(cE @ (esk2_1 @ cE))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_68]), c_0_66]), c_0_34]), c_0_69])).
% 8.52/1.57 thf(c_0_73, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|(cA @ (epred6_1 @ X3))|~((epred4_0 @ (esk2_1 @ X3))))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_70, c_0_12])])).
% 8.52/1.57 thf(c_0_74, plain, ![X3:a > $o, X2:a]:(((epred5_1 @ cE @ (^[Z0/* 9 */:a]:(((X3 @ Z0)|((X2)=(Z0))))))|(cE @ (esk2_1 @ cE))|~((epred5_1 @ cE @ X3))|~((cE @ X2)))), inference(spm,[status(thm)],[c_0_71, c_0_72])).
% 8.52/1.57 thf(c_0_75, plain, ((epred5_1 @ cE @ (epred2_1 @ (epred5_1 @ cE)))|(cE @ (esk2_1 @ cE))), inference(sr,[status(thm)],[c_0_62, c_0_66])).
% 8.52/1.57 thf(c_0_76, plain, ![X3:a > $o]:(((cE @ (esk3_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 7 */:a]:(~(($true)))))|(epred1_0)|~((cA @ (epred6_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_77, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|((cA @ (epred6_1 @ X3))<~>(epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true)))))|~((epred4_0 @ (esk2_1 @ X3))))), inference(ext_eqfact,[status(thm)],[c_0_73])).
% 8.52/1.57 thf(c_0_78, plain, ![X2:a]:(((epred5_1 @ cE @ (^[Z0/* 9 */:a]:(((epred2_1 @ (epred5_1 @ cE) @ Z0)|((X2)=(Z0))))))|(cE @ (esk2_1 @ cE))|~((cE @ X2)))), inference(spm,[status(thm)],[c_0_74, c_0_75])).
% 8.52/1.57 thf(c_0_79, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|(cE @ (esk3_1 @ X3))|~((cA @ (epred6_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3))))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_76, c_0_12])])).
% 8.52/1.57 thf(c_0_80, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|(cA @ (epred6_1 @ X3))|~((epred4_0 @ (esk2_1 @ X3))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_77])])])).
% 8.52/1.57 thf(c_0_81, negated_conjecture, (cE @ (esk2_1 @ cE)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_78]), c_0_66]), c_0_34]), c_0_69])).
% 8.52/1.57 thf(c_0_82, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((cA @ (epred6_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X2)=(Z0))))))|(epred1_0)|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_83, plain, ![X3:a > $o]:(((cE @ (esk3_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|~((epred4_0 @ (esk2_1 @ X3))))), inference(csr,[status(thm)],[c_0_79, c_0_80])).
% 8.52/1.57 thf(c_0_84, plain, (epred4_0 @ (esk2_1 @ cE)), inference(spm,[status(thm)],[c_0_50, c_0_81])).
% 8.52/1.57 thf(c_0_85, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((cE @ (esk3_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X2)=(Z0))))))|(epred1_0)|~((cA @ (epred6_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_86, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X2)=(Z0))))))|(cA @ (epred6_1 @ X3))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(sr,[status(thm)],[c_0_82, c_0_12])).
% 8.52/1.57 thf(c_0_87, plain, ((epred5_1 @ cE @ (^[Z0/* 4 */:a]:(~($true))))|(cE @ (esk3_1 @ cE))), inference(spm,[status(thm)],[c_0_83, c_0_84])).
% 8.52/1.57 thf(c_0_88, plain, ![X2:a, X3:a > $o]:(((epred6_1 @ X3 @ X2)|(epred5_1 @ X3 @ (^[Z0/* 7 */:a]:(~(($true)))))|(epred1_0)|~((X3 @ X2))|~((epred4_0 @ (esk2_1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_89, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X2)=(Z0))))))|(cE @ (esk3_1 @ X3))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_85, c_0_12]), c_0_86])).
% 8.52/1.57 thf(c_0_90, plain, ((epred5_1 @ cE @ (epred2_1 @ (epred5_1 @ cE)))|(cE @ (esk3_1 @ cE))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_87]), c_0_66])).
% 8.52/1.57 thf(c_0_91, plain, ![X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|(epred6_1 @ X3 @ X2)|~((epred4_0 @ (esk2_1 @ X3)))|~((X3 @ X2)))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_88, c_0_12])])).
% 8.52/1.57 thf(c_0_92, plain, ![X2:a]:(((epred5_1 @ cE @ (^[Z0/* 9 */:a]:(((epred2_1 @ (epred5_1 @ cE) @ Z0)|((X2)=(Z0))))))|(cE @ (esk3_1 @ cE))|~((cE @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_84])])).
% 8.52/1.57 thf(c_0_93, negated_conjecture, ((cE @ (esk1_1 @ (epred5_1 @ cE)))|(cE @ (esk3_1 @ cE))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_87]), c_0_66])).
% 8.52/1.57 thf(c_0_94, plain, ![X2:a, X3:a > $o, X7:a > $o, X4:a]:(((epred6_1 @ X3 @ X2)|(epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X4)=(Z0))))))|(epred1_0)|~((X3 @ X2))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X7))|~((X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_95, plain, ![X2:a]:(((epred5_1 @ cE @ (^[Z0/* 4 */:a]:(~($true))))|(epred6_1 @ cE @ X2)|~((cE @ X2)))), inference(spm,[status(thm)],[c_0_91, c_0_84])).
% 8.52/1.57 thf(c_0_96, negated_conjecture, (cE @ (esk3_1 @ cE)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_92]), c_0_66]), c_0_87]), c_0_93])).
% 8.52/1.57 thf(c_0_97, plain, ![X2:a, X3:a > $o, X7:a > $o, X4:a]:(((epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X2)=(Z0))))))|(epred6_1 @ X3 @ X4)|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X7))|~((X3 @ X2))|~((X3 @ X4)))), inference(sr,[status(thm)],[c_0_94, c_0_12])).
% 8.52/1.57 thf(c_0_98, plain, ((epred6_1 @ cE @ (esk3_1 @ cE))|(epred5_1 @ cE @ (^[Z0/* 4 */:a]:(~($true))))), inference(spm,[status(thm)],[c_0_95, c_0_96])).
% 8.52/1.57 thf(c_0_99, plain, ![X2:a, X3:a > $o, X4:a]:(((epred5_1 @ cE @ (^[Z0/* 9 */:a]:(((X3 @ Z0)|((X2)=(Z0))))))|(epred6_1 @ cE @ X4)|~((epred5_1 @ cE @ X3))|~((cE @ X2))|~((cE @ X4)))), inference(spm,[status(thm)],[c_0_97, c_0_84])).
% 8.52/1.57 thf(c_0_100, plain, ((epred5_1 @ cE @ (epred2_1 @ (epred5_1 @ cE)))|(epred6_1 @ cE @ (esk3_1 @ cE))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_98]), c_0_66])).
% 8.52/1.57 thf(c_0_101, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0/* 7 */:a]:(~(($true)))))|(epred1_0)|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((cA @ (epred6_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_102, plain, ![X3:a > $o]:(((cA @ (epred6_1 @ X3))|((epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))<~>(cA @ (epred6_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3))))), inference(ext_eqfact,[status(thm)],[c_0_80])).
% 8.52/1.57 thf(c_0_103, plain, ![X2:a, X4:a]:(((epred5_1 @ cE @ (^[Z0/* 9 */:a]:(((epred2_1 @ (epred5_1 @ cE) @ Z0)|((X2)=(Z0))))))|(epred6_1 @ cE @ (esk3_1 @ cE))|(epred6_1 @ cE @ X4)|~((cE @ X2))|~((cE @ X4)))), inference(spm,[status(thm)],[c_0_99, c_0_100])).
% 8.52/1.57 thf(c_0_104, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((cA @ (epred6_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3))))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_101, c_0_12])])).
% 8.52/1.57 thf(c_0_105, plain, ![X3:a > $o]:(((cA @ (epred6_1 @ X3))|(epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|~((epred4_0 @ (esk2_1 @ X3))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_102])])])).
% 8.52/1.57 thf(c_0_106, negated_conjecture, ![X2:a]:(((epred5_1 @ cE @ (^[Z0/* 9 */:a]:(((epred2_1 @ (epred5_1 @ cE) @ Z0)|((X2)=(Z0))))))|(epred6_1 @ cE @ (esk3_1 @ cE))|~((cE @ X2)))), inference(spm,[status(thm)],[c_0_103, c_0_96])).
% 8.52/1.57 thf(c_0_107, negated_conjecture, ((epred6_1 @ cE @ (esk3_1 @ cE))|(cE @ (esk1_1 @ (epred5_1 @ cE)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_98]), c_0_66])).
% 8.52/1.57 thf(c_0_108, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X2)=(Z0))))))|(epred1_0)|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((cA @ (epred6_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 8.52/1.57 thf(c_0_109, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0/* 4 */:a]:(~($true))))|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3))))), inference(csr,[status(thm)],[c_0_104, c_0_105])).
% 8.52/1.57 thf(c_0_110, negated_conjecture, (epred6_1 @ cE @ (esk3_1 @ cE)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_106]), c_0_66]), c_0_98]), c_0_107])).
% 8.52/1.57 thf(c_0_111, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0/* 9 */:a]:(((X7 @ Z0)|((X2)=(Z0))))))|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_108, c_0_12]), c_0_86])).
% 8.52/1.57 thf(c_0_112, plain, (epred5_1 @ cE @ (^[Z0/* 4 */:a]:(~($true)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_110]), c_0_84])])).
% 8.52/1.57 thf(c_0_113, plain, ![X3:a > $o, X2:a]:(((epred5_1 @ cE @ (^[Z0/* 9 */:a]:(((X3 @ Z0)|((X2)=(Z0))))))|~((epred5_1 @ cE @ X3))|~((cE @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_110]), c_0_84])])).
% 8.52/1.57 thf(c_0_114, plain, (epred5_1 @ cE @ (epred2_1 @ (epred5_1 @ cE))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_112]), c_0_66])).
% 8.52/1.57 thf(c_0_115, plain, ![X2:a]:(((epred5_1 @ cE @ (^[Z0/* 9 */:a]:(((epred2_1 @ (epred5_1 @ cE) @ Z0)|((X2)=(Z0))))))|~((cE @ X2)))), inference(spm,[status(thm)],[c_0_113, c_0_114])).
% 8.52/1.57 thf(c_0_116, negated_conjecture, (cE @ (esk1_1 @ (epred5_1 @ cE))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_112]), c_0_66])).
% 8.52/1.57 thf(c_0_117, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_115]), c_0_112]), c_0_116])]), c_0_66]), ['proof']).
% 8.52/1.57 # SZS output end CNFRefutation
% 8.52/1.57 # Parsed axioms : 4
% 8.52/1.57 # Removed by relevancy pruning/SinE : 0
% 8.52/1.57 # Initial clauses : 35
% 8.52/1.57 # Removed in clause preprocessing : 3
% 8.52/1.57 # Initial clauses in saturation : 32
% 8.52/1.57 # Processed clauses : 3333
% 8.52/1.57 # ...of these trivial : 35
% 8.52/1.57 # ...subsumed : 1078
% 8.52/1.57 # ...remaining for further processing : 2220
% 8.52/1.57 # Other redundant clauses eliminated : 235
% 8.52/1.57 # Clauses deleted for lack of memory : 0
% 8.52/1.57 # Backward-subsumed : 861
% 8.52/1.57 # Backward-rewritten : 332
% 8.52/1.57 # Generated clauses : 25500
% 8.52/1.57 # ...of the previous two non-redundant : 24036
% 8.52/1.57 # ...aggressively subsumed : 0
% 8.52/1.57 # Contextual simplify-reflections : 149
% 8.52/1.57 # Paramodulations : 23994
% 8.52/1.57 # Factorizations : 4
% 8.52/1.57 # NegExts : 353
% 8.52/1.57 # Equation resolutions : 238
% 8.52/1.57 # Disequality decompositions : 0
% 8.52/1.57 # Total rewrite steps : 1401
% 8.52/1.57 # ...of those cached : 1370
% 8.52/1.57 # Propositional unsat checks : 0
% 8.52/1.57 # Propositional check models : 0
% 8.52/1.57 # Propositional check unsatisfiable : 0
% 8.52/1.57 # Propositional clauses : 0
% 8.52/1.57 # Propositional clauses after purity: 0
% 8.52/1.57 # Propositional unsat core size : 0
% 8.52/1.57 # Propositional preprocessing time : 0.000
% 8.52/1.57 # Propositional encoding time : 0.000
% 8.52/1.57 # Propositional solver time : 0.000
% 8.52/1.57 # Success case prop preproc time : 0.000
% 8.52/1.57 # Success case prop encoding time : 0.000
% 8.52/1.57 # Success case prop solver time : 0.000
% 8.52/1.57 # Current number of processed clauses : 753
% 8.52/1.57 # Positive orientable unit clauses : 29
% 8.52/1.57 # Positive unorientable unit clauses: 0
% 8.52/1.57 # Negative unit clauses : 6
% 8.52/1.57 # Non-unit-clauses : 718
% 8.52/1.57 # Current number of unprocessed clauses: 17057
% 8.52/1.57 # ...number of literals in the above : 130151
% 8.52/1.57 # Current number of archived formulas : 0
% 8.52/1.57 # Current number of archived clauses : 1467
% 8.52/1.57 # Clause-clause subsumption calls (NU) : 319624
% 8.52/1.57 # Rec. Clause-clause subsumption calls : 16200
% 8.52/1.57 # Non-unit clause-clause subsumptions : 1926
% 8.52/1.57 # Unit Clause-clause subsumption calls : 5052
% 8.52/1.57 # Rewrite failures with RHS unbound : 0
% 8.52/1.57 # BW rewrite match attempts : 42
% 8.52/1.57 # BW rewrite match successes : 28
% 8.52/1.57 # Condensation attempts : 0
% 8.52/1.57 # Condensation successes : 0
% 8.52/1.57 # Termbank termtop insertions : 1686523
% 8.52/1.57 # Search garbage collected termcells : 747
% 8.52/1.57
% 8.52/1.57 # -------------------------------------------------
% 8.52/1.57 # User time : 1.037 s
% 8.52/1.57 # System time : 0.024 s
% 8.52/1.57 # Total time : 1.061 s
% 8.52/1.57 # Maximum resident set size: 1932 pages
% 8.52/1.57
% 8.52/1.57 # -------------------------------------------------
% 8.52/1.57 # User time : 4.134 s
% 8.52/1.57 # System time : 0.106 s
% 8.52/1.57 # Total time : 4.241 s
% 8.52/1.57 # Maximum resident set size: 1740 pages
% 8.52/1.57 % E---3.1 exiting
% 8.52/1.57 % E exiting
%------------------------------------------------------------------------------