%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU876^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:25:52 AM UTC 2026
% Result : Theorem 0.20s 0.32s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU876^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 14:43:12 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.ZkiGHanGAh/E---3.1_875463.p
% 0.20/0.32 % Version: 3.5.1-ho
% 0.20/0.32 % Preprocessing class: HSMSSMSSSSMNHHA.
% 0.20/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.32 % Starting ehoh_best4_fo with 1200s (4) cores
% 0.20/0.32 % Starting ehoh_best_nonlift_rwall with 600s (2) cores
% 0.20/0.32 % Starting lpo1_lambda_fix with 300s (1) cores
% 0.20/0.32 % Starting full_lambda_9 with 300s (1) cores
% 0.20/0.32 % ehoh_best4_fo with pid 875476 completed with status 0
% 0.20/0.32 % Result found by ehoh_best4_fo
% 0.20/0.32 % Preprocessing class: HSMSSMSSSSMNHHA.
% 0.20/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.32 % Starting ehoh_best4_fo with 1200s (4) cores
% 0.20/0.32 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.32 % No SInE strategy applied
% 0.20/0.32 % Search class: HGHNF-FFMF11-MHHFFMBN
% 0.20/0.32 % partial match(2): HGHNF-FFSF11-SHHFFMBN
% 0.20/0.32 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.20/0.32 % Starting SubtermCWHack with 109s (1) cores
% 0.20/0.32 % Starting ehoh_best4_fo with 121s (1) cores
% 0.20/0.32 % Starting post_as_ho1 with 109s (1) cores
% 0.20/0.32 % Starting ehoh_best_sine_rwall with 109s (1) cores
% 0.20/0.32 % post_as_ho1 with pid 875485 completed with status 0
% 0.20/0.32 % Result found by post_as_ho1
% 0.20/0.32 % Preprocessing class: HSMSSMSSSSMNHHA.
% 0.20/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.32 % Starting ehoh_best4_fo with 1200s (4) cores
% 0.20/0.32 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.32 % No SInE strategy applied
% 0.20/0.32 % Search class: HGHNF-FFMF11-MHHFFMBN
% 0.20/0.32 % partial match(2): HGHNF-FFSF11-SHHFFMBN
% 0.20/0.32 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.20/0.32 % Starting SubtermCWHack with 109s (1) cores
% 0.20/0.32 % Starting ehoh_best4_fo with 121s (1) cores
% 0.20/0.32 % Starting post_as_ho1 with 109s (1) cores
% 0.20/0.32 % Preprocessing time : 0.002 s
% 0.20/0.32 % Presaturation interreduction done
% 0.20/0.32
% 0.20/0.32 % Proof found!
% 0.20/0.32 % SZS status Theorem
% 0.20/0.32 % SZS output start CNFRefutation
% 0.20/0.32 thf(decl_sort1, type, a: $tType).
% 0.20/0.32 thf(decl_23, type, cE: a > $o).
% 0.20/0.32 thf(decl_24, type, cA: (a > $o) > $o).
% 0.20/0.32 thf(decl_25, type, epred1_0: $o).
% 0.20/0.32 thf(decl_26, type, epred2_1: ((a > $o) > $o) > a > $o).
% 0.20/0.32 thf(decl_27, type, esk1_1: ((a > $o) > $o) > a).
% 0.20/0.32 thf(decl_28, type, epred3_0: a > $o).
% 0.20/0.32 thf(decl_29, type, epred4_0: a > $o).
% 0.20/0.32 thf(decl_30, type, epred5_1: (a > $o) > (a > $o) > $o).
% 0.20/0.32 thf(decl_31, type, esk2_1: (a > $o) > a).
% 0.20/0.32 thf(decl_32, type, epred6_1: (a > $o) > a > $o).
% 0.20/0.32 thf(decl_33, type, esk3_1: (a > $o) > a).
% 0.20/0.32 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/tmp/tmp.ZkiGHanGAh/E---3.1_875463.p', cDOMLEMMA4_pme)).
% 0.20/0.32 thf(c_0_1, negated_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))))))))))))), inference(assume_negation,[status(cth)],[cDOMLEMMA4_pme])).
% 0.20/0.32 thf(c_0_2, plain, ((epred1_0)<=>![X3:a > $o]:((((cA @ X3)&![X6:a]:(((cE @ X6)=>(X3 @ X6))))=>?[X7:a > $o]:(((![X1:(a > $o) > $o]:((((X1 @ (^[Z0:a]:(~($true))))&![X8:a > $o]:(((X1 @ X8)=>![X4:a]:(((X7 @ X4)=>(X1 @ (^[Z0: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)).
% 0.20/0.32 thf(c_0_3, negated_conjecture, ~((![X1:(a > $o) > $o]:((((X1 @ (^[Z0:a]:(~($true))))&![X3:a > $o]:(((X1 @ X3)=>![X4:a]:(((cE @ X4)=>(X1 @ (^[Z0: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)],[c_0_1]), c_0_2])).
% 0.20/0.32 thf(c_0_4, plain, (![X3:a > $o]:((((cA @ X3)&![X6:a]:(((cE @ X6)=>(X3 @ X6))))=>?[X7:a > $o]:(((![X1:(a > $o) > $o]:((((X1 @ (^[Z0:a]:(~($true))))&![X8:a > $o]:(((X1 @ X8)=>![X4:a]:(((X7 @ X4)=>(X1 @ (^[Z0: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_2])).
% 0.20/0.32 thf(c_0_5, negated_conjecture, ![X25:(a > $o) > $o, X29:a]:(((((X25 @ (epred2_1 @ X25))|~(X25 @ (^[Z0:a]:(~($true))))|(X25 @ cE))&(((cE @ (esk1_1 @ X25))|~(X25 @ (^[Z0:a]:(~($true))))|(X25 @ cE))&(~(X25 @ (^[Z0:a]:(((epred2_1 @ X25 @ Z0)|(((esk1_1 @ X25)=(Z0)))))))|~(X25 @ (^[Z0:a]:(~($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_3])])])])])])).
% 0.20/0.32 thf(c_0_6, plain, ![X31:a, X32:a > $o, X34:a > $o, X35:a, X38:a]:(((((cA @ epred4_0)|(epred1_0))&(~(cE @ X31)|(epred4_0 @ X31)|(epred1_0)))&(((((((cA @ (epred6_1 @ X32))|((X32 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0:a]:(~($true)))))|(epred1_0))&(~(X32 @ X38)|(epred6_1 @ X32 @ X38)|((X32 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0:a]:(~($true)))))|(epred1_0)))&(((cE @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|((X32 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0:a]:(~($true)))))|(epred1_0))&(~(epred6_1 @ X32 @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|((X32 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0:a]:(~($true)))))|(epred1_0))))&((((cA @ (epred6_1 @ X32))|(~(epred4_0 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0:a]:(~($true)))))|(epred1_0))&(~(X32 @ X38)|(epred6_1 @ X32 @ X38)|(~(epred4_0 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0:a]:(~($true)))))|(epred1_0)))&(((cE @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|(~(epred4_0 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0:a]:(~($true)))))|(epred1_0))&(~(epred6_1 @ X32 @ (esk3_1 @ X32))|~(cA @ (epred6_1 @ X32))|(~(epred4_0 @ (esk2_1 @ X32))|(epred5_1 @ X32 @ (^[Z0:a]:(~($true)))))|(epred1_0)))))&(((((cA @ (epred6_1 @ X32))|((X32 @ (esk2_1 @ X32))|(~(epred5_1 @ X32 @ X34)|(~(X32 @ X35)|(epred5_1 @ X32 @ (^[Z0: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: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: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: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: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: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: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: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_4])])])])])])).
% 0.20/0.32 thf(c_0_7, negated_conjecture, (~((cA @ epred3_0))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.20/0.32 thf(c_0_8, negated_conjecture, ((cA @ epred3_0)|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.20/0.32 thf(c_0_9, plain, ![X3:a > $o]:(((cA @ (epred6_1 @ X3))|(epred5_1 @ X3 @ (^[Z0:a]:(~(($true)))))|(epred1_0)|~((epred4_0 @ (esk2_1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.20/0.32 thf(c_0_10, negated_conjecture, ~((epred1_0)), inference(csr,[status(thm)],[c_0_7, c_0_8])).
% 0.20/0.32 thf(c_0_11, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0:a]:(~($true))))|(cA @ (epred6_1 @ X3))|~((epred4_0 @ (esk2_1 @ X3))))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_9, c_0_10])])).
% 0.20/0.32 thf(c_0_12, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0:a]:(~($true))))|((epred5_1 @ X3 @ (^[Z0:a]:(~($true))))<~>(cA @ (epred6_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3))))), inference(ext_eqfact,[status(thm)],[c_0_11])).
% 0.20/0.32 thf(c_0_13, plain, ![X3:a > $o]:(((cA @ (epred6_1 @ X3))|(epred5_1 @ X3 @ (^[Z0:a]:(~($true))))|~((epred4_0 @ (esk2_1 @ X3))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_12])])])).
% 0.20/0.32 thf(c_0_14, plain, ![X2:a]:(((epred4_0 @ X2)|(epred1_0)|~((cE @ X2)))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.20/0.32 thf(c_0_15, plain, ![X3:a > $o]:(((cA @ (epred6_1 @ X3))|(X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0:a]:(~(($true)))))|(epred1_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.20/0.32 thf(c_0_16, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0:a]:(~($true))))|((epred5_1 @ X3 @ (^[Z0:a]:(~($true))))<~>(cA @ (epred6_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3))))), inference(ext_eqfact,[status(thm)],[c_0_13])).
% 0.20/0.32 thf(c_0_17, negated_conjecture, ![X1:(a > $o) > $o]:(((X1 @ (epred2_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0:a]:(~(($true)))))))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.20/0.32 thf(c_0_18, plain, ![X3:a > $o]:(((cE @ (esk3_1 @ X3))|(X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0:a]:(~(($true)))))|(epred1_0)|~((cA @ (epred6_1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.20/0.32 thf(c_0_19, plain, ![X2:a]:(((epred4_0 @ X2)|~((cE @ X2)))), inference(sr,[status(thm)],[c_0_14, c_0_10])).
% 0.20/0.32 thf(c_0_20, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0:a]:(~($true))))|(cA @ (epred6_1 @ X3))|(X3 @ (esk2_1 @ X3)))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_15, c_0_10])])).
% 0.20/0.32 thf(c_0_21, plain, ![X3:a > $o]:(((cA @ (epred6_1 @ X3))|(epred5_1 @ X3 @ (^[Z0:a]:(~($true))))|~((epred4_0 @ (esk2_1 @ X3))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_16])])])).
% 0.20/0.32 thf(c_0_22, negated_conjecture, ![X1:(a > $o) > $o]:(((X1 @ (epred2_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0:a]:(~($true))))))), inference(cn,[status(thm)],[c_0_17])).
% 0.20/0.32 thf(c_0_23, plain, ![X3:a > $o, X2:a]:(((epred6_1 @ X3 @ X2)|(X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0:a]:(~(($true)))))|(epred1_0)|~((X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.20/0.32 thf(c_0_24, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0:a]:(~($true))))|(cE @ (esk3_1 @ X3))|(X3 @ (esk2_1 @ X3))|~((cA @ (epred6_1 @ X3))))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_18, c_0_10])])).
% 0.20/0.32 thf(c_0_25, plain, ((epred5_1 @ cE @ (^[Z0:a]:(~($true))))|(cA @ (epred6_1 @ cE))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_21])).
% 0.20/0.32 thf(c_0_26, plain, ![X1:(a > $o) > $o]:(((X1 @ cE)|((X1 @ (epred2_1 @ X1))<~>(X1 @ cE))|~((X1 @ (^[Z0:a]:(~($true))))))), inference(ext_eqfact,[status(thm)],[c_0_22])).
% 0.20/0.32 thf(c_0_27, plain, ![X3:a > $o]:(((X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0:a]:(~(($true)))))|(epred1_0)|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((cA @ (epred6_1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.20/0.32 thf(c_0_28, plain, ![X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0:a]:(~($true))))|(X3 @ (esk2_1 @ X3))|(epred6_1 @ X3 @ X2)|~((X3 @ X2)))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_23, c_0_10])])).
% 0.20/0.32 thf(c_0_29, plain, ![X3:a > $o]:(((cE @ (esk3_1 @ X3))|(epred5_1 @ X3 @ (^[Z0:a]:(~($true))))|(X3 @ (esk2_1 @ X3)))), inference(csr,[status(thm)],[c_0_24, c_0_20])).
% 0.20/0.32 thf(c_0_30, plain, ((cA @ (epred6_1 @ cE))|((epred5_1 @ cE @ (^[Z0:a]:(~($true))))<~>(cA @ (epred6_1 @ cE)))), inference(ext_eqfact,[status(thm)],[c_0_25])).
% 0.20/0.32 thf(c_0_31, plain, ![X1:(a > $o) > $o]:(((X1 @ (epred2_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0:a]:(~($true))))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_26])])])).
% 0.20/0.32 thf(c_0_32, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0:a]:(~($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_27, c_0_10])])).
% 0.20/0.32 thf(c_0_33, plain, ![X3:a > $o]:(((epred6_1 @ cE @ (esk3_1 @ X3))|(cE @ (esk2_1 @ cE))|(epred5_1 @ cE @ (^[Z0:a]:(~($true))))|(epred5_1 @ X3 @ (^[Z0:a]:(~($true))))|(X3 @ (esk2_1 @ X3)))), inference(spm,[status(thm)],[c_0_28, c_0_29])).
% 0.20/0.32 thf(c_0_34, plain, ((cA @ (epred6_1 @ cE))|(epred5_1 @ cE @ (^[Z0:a]:(~($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_30])])])).
% 0.20/0.32 thf(c_0_35, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((cA @ (epred6_1 @ X3))|(X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0:a]:((((X7 @ Z0))|(((X2)=(Z0)))))))|(epred1_0)|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.20/0.32 thf(c_0_36, plain, ![X1:(a > $o) > $o]:(((X1 @ cE)|((X1 @ (epred2_1 @ X1))<~>(X1 @ cE))|~((X1 @ (^[Z0:a]:(~($true))))))), inference(ext_eqfact,[status(thm)],[c_0_31])).
% 0.20/0.32 thf(c_0_37, plain, ((cE @ (esk2_1 @ cE))|(epred5_1 @ cE @ (^[Z0:a]:(~($true))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])).
% 0.20/0.32 thf(c_0_38, 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_6])).
% 0.20/0.32 thf(c_0_39, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((cE @ (esk3_1 @ X3))|(X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0:a]:((((X7 @ Z0))|(((X2)=(Z0)))))))|(epred1_0)|~((cA @ (epred6_1 @ X3)))|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.20/0.32 thf(c_0_40, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0: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_35, c_0_10])).
% 0.20/0.32 thf(c_0_41, plain, ![X1:(a > $o) > $o]:(((X1 @ (epred2_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0:a]:(~($true))))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_36])])])).
% 0.20/0.32 thf(c_0_42, plain, ((epred5_1 @ cE @ (^[Z0:a]:(~($true))))|(epred4_0 @ (esk2_1 @ cE))), inference(spm,[status(thm)],[c_0_19, c_0_37])).
% 0.20/0.32 thf(c_0_43, 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_6])).
% 0.20/0.32 thf(c_0_44, plain, ![X3:a > $o]:(((cA @ (epred6_1 @ X3))|(X3 @ (esk2_1 @ X3))|~((epred5_1 @ X3 @ X3)))), inference(sr,[status(thm)],[c_0_38, c_0_10])).
% 0.20/0.32 thf(c_0_45, negated_conjecture, ![X1:(a > $o) > $o]:(((cE @ (esk1_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0:a]:(~(($true)))))))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.20/0.32 thf(c_0_46, plain, ![X2:a, X3:a > $o, X7:a > $o, X4:a]:(((epred6_1 @ X3 @ X2)|(X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0:a]:((((X7 @ Z0))|(((X4)=(Z0)))))))|(epred1_0)|~((X3 @ X2))|~((epred5_1 @ X3 @ X7))|~((X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.20/0.32 thf(c_0_47, 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_6])).
% 0.20/0.32 thf(c_0_48, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0: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_39, c_0_10]), c_0_40])).
% 0.20/0.32 thf(c_0_49, plain, ((epred5_1 @ cE @ (epred2_1 @ (epred5_1 @ cE)))|(epred4_0 @ (esk2_1 @ cE))|(epred5_1 @ cE @ cE)), inference(spm,[status(thm)],[c_0_41, c_0_42])).
% 0.20/0.32 thf(c_0_50, 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_43, c_0_10]), c_0_44])).
% 0.20/0.32 thf(c_0_51, negated_conjecture, ![X1:(a > $o) > $o]:(((cE @ (esk1_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0:a]:(~($true))))))), inference(cn,[status(thm)],[c_0_45])).
% 0.20/0.32 thf(c_0_52, plain, ![X2:a, X3:a > $o, X7:a > $o, X4:a]:(((epred5_1 @ X3 @ (^[Z0: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_46, c_0_10])).
% 0.20/0.32 thf(c_0_53, 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_47, c_0_10])).
% 0.20/0.32 thf(c_0_54, negated_conjecture, ![X1:(a > $o) > $o]:(((X1 @ cE)|~((X1 @ (^[Z0:a]:((((epred2_1 @ X1 @ Z0))|(((esk1_1 @ X1)=(Z0))))))))|~((X1 @ (^[Z0:a]:(~(($true)))))))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.20/0.32 thf(c_0_55, plain, ![X2:a]:(((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((X2)=(Z0)))))))|(epred4_0 @ (esk2_1 @ cE))|(cE @ (esk3_1 @ cE))|~((cE @ X2)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), c_0_19])).
% 0.20/0.32 thf(c_0_56, negated_conjecture, ((cE @ (esk1_1 @ (epred5_1 @ cE)))|(epred4_0 @ (esk2_1 @ cE))|(epred5_1 @ cE @ cE)), inference(spm,[status(thm)],[c_0_51, c_0_42])).
% 0.20/0.32 thf(c_0_57, plain, ![X2:a, X4:a]:(((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((X2)=(Z0)))))))|(epred4_0 @ (esk2_1 @ cE))|(epred6_1 @ cE @ X4)|~((cE @ X2))|~((cE @ X4)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_49]), c_0_53]), c_0_19])).
% 0.20/0.32 thf(c_0_58, negated_conjecture, ![X1:(a > $o) > $o]:(((X1 @ cE)|~((X1 @ (^[Z0:a]:((((epred2_1 @ X1 @ Z0))|(((esk1_1 @ X1)=(Z0))))))))|~((X1 @ (^[Z0:a]:(~($true))))))), inference(cn,[status(thm)],[c_0_54])).
% 0.20/0.32 thf(c_0_59, negated_conjecture, ((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((esk1_1 @ (epred5_1 @ cE))=(Z0)))))))|(epred5_1 @ cE @ cE)|(cE @ (esk3_1 @ cE))|(epred4_0 @ (esk2_1 @ cE))), inference(spm,[status(thm)],[c_0_55, c_0_56])).
% 0.20/0.32 thf(c_0_60, negated_conjecture, ![X2:a]:(((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((esk1_1 @ (epred5_1 @ cE))=(Z0)))))))|(epred5_1 @ cE @ cE)|(epred4_0 @ (esk2_1 @ cE))|(epred6_1 @ cE @ X2)|~((cE @ X2)))), inference(spm,[status(thm)],[c_0_57, c_0_56])).
% 0.20/0.32 thf(c_0_61, negated_conjecture, ((epred4_0 @ (esk2_1 @ cE))|(cE @ (esk3_1 @ cE))|(epred5_1 @ cE @ cE)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_42])).
% 0.20/0.32 thf(c_0_62, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((X3 @ (esk2_1 @ X3))|(epred5_1 @ X3 @ (^[Z0: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_6])).
% 0.20/0.32 thf(c_0_63, negated_conjecture, ((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((esk1_1 @ (epred5_1 @ cE))=(Z0)))))))|(epred6_1 @ cE @ (esk3_1 @ cE))|(epred4_0 @ (esk2_1 @ cE))|(epred5_1 @ cE @ cE)), inference(spm,[status(thm)],[c_0_60, c_0_61])).
% 0.20/0.32 thf(c_0_64, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0: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_62, c_0_10]), c_0_40])).
% 0.20/0.32 thf(c_0_65, negated_conjecture, ((epred6_1 @ cE @ (esk3_1 @ cE))|(epred4_0 @ (esk2_1 @ cE))|(epred5_1 @ cE @ cE)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_63]), c_0_42])).
% 0.20/0.32 thf(c_0_66, plain, ![X3:a > $o, X2:a]:(((epred5_1 @ cE @ (^[Z0:a]:((((X3 @ Z0))|(((X2)=(Z0)))))))|(epred5_1 @ cE @ cE)|(epred4_0 @ (esk2_1 @ cE))|~((epred5_1 @ cE @ X3))|~((cE @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_19])).
% 0.20/0.32 thf(c_0_67, plain, ![X2:a]:(((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((X2)=(Z0)))))))|(epred4_0 @ (esk2_1 @ cE))|(epred5_1 @ cE @ cE)|~((cE @ X2)))), inference(spm,[status(thm)],[c_0_66, c_0_49])).
% 0.20/0.32 thf(c_0_68, plain, ((epred5_1 @ cE @ (epred2_1 @ (epred5_1 @ cE)))|(cA @ (epred6_1 @ cE))|(epred5_1 @ cE @ cE)), inference(spm,[status(thm)],[c_0_41, c_0_34])).
% 0.20/0.32 thf(c_0_69, negated_conjecture, ((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((esk1_1 @ (epred5_1 @ cE))=(Z0)))))))|(epred5_1 @ cE @ cE)|(epred4_0 @ (esk2_1 @ cE))), inference(spm,[status(thm)],[c_0_67, c_0_56])).
% 0.20/0.32 thf(c_0_70, plain, ![X2:a]:(((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((X2)=(Z0)))))))|(cE @ (esk2_1 @ cE))|(cA @ (epred6_1 @ cE))|~((cE @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_68]), c_0_44])).
% 0.20/0.32 thf(c_0_71, negated_conjecture, ((cE @ (esk1_1 @ (epred5_1 @ cE)))|(cA @ (epred6_1 @ cE))|(epred5_1 @ cE @ cE)), inference(spm,[status(thm)],[c_0_51, c_0_25])).
% 0.20/0.32 thf(c_0_72, negated_conjecture, ((epred4_0 @ (esk2_1 @ cE))|(epred5_1 @ cE @ cE)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_69]), c_0_42])).
% 0.20/0.32 thf(c_0_73, negated_conjecture, ((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((esk1_1 @ (epred5_1 @ cE))=(Z0)))))))|(cA @ (epred6_1 @ cE))|(cE @ (esk2_1 @ cE))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_44])).
% 0.20/0.32 thf(c_0_74, 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_6])).
% 0.20/0.32 thf(c_0_75, plain, ![X2:a]:(((epred4_0 @ (esk2_1 @ cE))|(epred6_1 @ cE @ X2)|~((cE @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_72]), c_0_19])).
% 0.20/0.32 thf(c_0_76, plain, ((epred4_0 @ (esk2_1 @ cE))|(cE @ (esk3_1 @ cE))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_72]), c_0_19])).
% 0.20/0.32 thf(c_0_77, negated_conjecture, ((cE @ (esk2_1 @ cE))|(cA @ (epred6_1 @ cE))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_73]), c_0_37]), c_0_44])).
% 0.20/0.32 thf(c_0_78, plain, ![X3:a > $o]:(((cE @ (esk3_1 @ X3))|(epred5_1 @ X3 @ (^[Z0:a]:(~(($true)))))|(epred1_0)|~((cA @ (epred6_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.20/0.32 thf(c_0_79, plain, ![X2:a, X3:a > $o]:(((epred6_1 @ X3 @ X2)|(epred5_1 @ X3 @ (^[Z0:a]:(~(($true)))))|(epred1_0)|~((X3 @ X2))|~((epred4_0 @ (esk2_1 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.20/0.32 thf(c_0_80, plain, ![X3:a > $o]:(((X3 @ (esk2_1 @ X3))|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((cA @ (epred6_1 @ X3)))|~((epred5_1 @ X3 @ X3)))), inference(sr,[status(thm)],[c_0_74, c_0_10])).
% 0.20/0.32 thf(c_0_81, plain, ((epred6_1 @ cE @ (esk3_1 @ cE))|(epred4_0 @ (esk2_1 @ cE))), inference(spm,[status(thm)],[c_0_75, c_0_76])).
% 0.20/0.32 thf(c_0_82, plain, ((cA @ (epred6_1 @ cE))|(epred4_0 @ (esk2_1 @ cE))), inference(spm,[status(thm)],[c_0_19, c_0_77])).
% 0.20/0.32 thf(c_0_83, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0:a]:(~($true))))|(cE @ (esk3_1 @ X3))|~((cA @ (epred6_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3))))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_78, c_0_10])])).
% 0.20/0.32 thf(c_0_84, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0:a]:(~(($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_6])).
% 0.20/0.32 thf(c_0_85, plain, ![X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0:a]:(~($true))))|(epred6_1 @ X3 @ X2)|~((epred4_0 @ (esk2_1 @ X3)))|~((X3 @ X2)))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_79, c_0_10])])).
% 0.20/0.32 thf(c_0_86, plain, (epred4_0 @ (esk2_1 @ cE)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_72]), c_0_82]), c_0_19])).
% 0.20/0.32 thf(c_0_87, plain, ![X3:a > $o]:(((cE @ (esk3_1 @ X3))|(epred5_1 @ X3 @ (^[Z0:a]:(~($true))))|~((epred4_0 @ (esk2_1 @ X3))))), inference(csr,[status(thm)],[c_0_83, c_0_21])).
% 0.20/0.32 thf(c_0_88, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((cA @ (epred6_1 @ X3))|(epred5_1 @ X3 @ (^[Z0: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_6])).
% 0.20/0.32 thf(c_0_89, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0:a]:(~($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_84, c_0_10])])).
% 0.20/0.32 thf(c_0_90, plain, ![X2:a]:(((epred5_1 @ cE @ (^[Z0:a]:(~($true))))|(epred6_1 @ cE @ X2)|~((cE @ X2)))), inference(spm,[status(thm)],[c_0_85, c_0_86])).
% 0.20/0.32 thf(c_0_91, plain, ((epred5_1 @ cE @ (^[Z0:a]:(~($true))))|(cE @ (esk3_1 @ cE))), inference(spm,[status(thm)],[c_0_87, c_0_86])).
% 0.20/0.32 thf(c_0_92, 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_6])).
% 0.20/0.32 thf(c_0_93, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((cE @ (esk3_1 @ X3))|(epred5_1 @ X3 @ (^[Z0: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_6])).
% 0.20/0.32 thf(c_0_94, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0: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_88, c_0_10])).
% 0.20/0.32 thf(c_0_95, plain, ![X3:a > $o]:(((epred5_1 @ X3 @ (^[Z0:a]:(~($true))))|~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3))))), inference(csr,[status(thm)],[c_0_89, c_0_11])).
% 0.20/0.32 thf(c_0_96, plain, ((epred6_1 @ cE @ (esk3_1 @ cE))|(epred5_1 @ cE @ (^[Z0:a]:(~($true))))), inference(spm,[status(thm)],[c_0_90, c_0_91])).
% 0.20/0.32 thf(c_0_97, 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_6])).
% 0.20/0.32 thf(c_0_98, plain, ![X3:a > $o]:(((cA @ (epred6_1 @ X3))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X3)))), inference(sr,[status(thm)],[c_0_92, c_0_10])).
% 0.20/0.32 thf(c_0_99, plain, ![X2:a, X3:a > $o, X7:a > $o, X4:a]:(((epred6_1 @ X3 @ X2)|(epred5_1 @ X3 @ (^[Z0: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_6])).
% 0.20/0.32 thf(c_0_100, 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_6])).
% 0.20/0.32 thf(c_0_101, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0:a]:((((X7 @ Z0))|(((X2)=(Z0)))))))|(cE @ (esk3_1 @ X3))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X7))|~((X3 @ X2)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_93, c_0_10]), c_0_94])).
% 0.20/0.32 thf(c_0_102, plain, (epred5_1 @ cE @ (^[Z0:a]:(~($true)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_96]), c_0_86])])).
% 0.20/0.32 thf(c_0_103, 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_97, c_0_10]), c_0_98])).
% 0.20/0.32 thf(c_0_104, plain, ![X2:a, X3:a > $o, X7:a > $o, X4:a]:(((epred5_1 @ X3 @ (^[Z0: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_99, c_0_10])).
% 0.20/0.32 thf(c_0_105, 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_100, c_0_10])).
% 0.20/0.32 thf(c_0_106, plain, ![X3:a > $o, X2:a]:(((epred5_1 @ cE @ (^[Z0:a]:((((X3 @ Z0))|(((X2)=(Z0)))))))|(cE @ (esk3_1 @ cE))|~((epred5_1 @ cE @ X3))|~((cE @ X2)))), inference(spm,[status(thm)],[c_0_101, c_0_86])).
% 0.20/0.32 thf(c_0_107, plain, ((epred5_1 @ cE @ (epred2_1 @ (epred5_1 @ cE)))|(epred5_1 @ cE @ cE)), inference(spm,[status(thm)],[c_0_41, c_0_102])).
% 0.20/0.32 thf(c_0_108, plain, ((cE @ (esk3_1 @ cE))|~((epred5_1 @ cE @ cE))), inference(spm,[status(thm)],[c_0_103, c_0_86])).
% 0.20/0.32 thf(c_0_109, plain, ![X2:a, X3:a > $o, X4:a]:(((epred5_1 @ cE @ (^[Z0:a]:((((X3 @ Z0))|(((X2)=(Z0)))))))|(epred6_1 @ cE @ X4)|~((epred5_1 @ cE @ X3))|~((cE @ X2))|~((cE @ X4)))), inference(spm,[status(thm)],[c_0_104, c_0_86])).
% 0.20/0.32 thf(c_0_110, plain, ![X2:a]:(((epred6_1 @ cE @ X2)|~((epred5_1 @ cE @ cE))|~((cE @ X2)))), inference(spm,[status(thm)],[c_0_105, c_0_86])).
% 0.20/0.32 thf(c_0_111, plain, ![X2:a]:(((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((X2)=(Z0)))))))|(cE @ (esk3_1 @ cE))|~((cE @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_107]), c_0_108])).
% 0.20/0.32 thf(c_0_112, negated_conjecture, ((cE @ (esk1_1 @ (epred5_1 @ cE)))|(epred5_1 @ cE @ cE)), inference(spm,[status(thm)],[c_0_51, c_0_102])).
% 0.20/0.32 thf(c_0_113, plain, ![X2:a, X4:a]:(((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((X2)=(Z0)))))))|(epred6_1 @ cE @ X4)|~((cE @ X2))|~((cE @ X4)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_107]), c_0_110])).
% 0.20/0.32 thf(c_0_114, negated_conjecture, ((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((esk1_1 @ (epred5_1 @ cE))=(Z0)))))))|(cE @ (esk3_1 @ cE))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_112]), c_0_108])).
% 0.20/0.32 thf(c_0_115, negated_conjecture, ![X2:a]:(((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((esk1_1 @ (epred5_1 @ cE))=(Z0)))))))|(epred6_1 @ cE @ X2)|~((cE @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_112]), c_0_110])).
% 0.20/0.32 thf(c_0_116, negated_conjecture, (cE @ (esk3_1 @ cE)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_114]), c_0_102])]), c_0_108])).
% 0.20/0.32 thf(c_0_117, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0: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_6])).
% 0.20/0.32 thf(c_0_118, negated_conjecture, ((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((esk1_1 @ (epred5_1 @ cE))=(Z0)))))))|(epred6_1 @ cE @ (esk3_1 @ cE))), inference(spm,[status(thm)],[c_0_115, c_0_116])).
% 0.20/0.32 thf(c_0_119, plain, ![X7:a > $o, X3:a > $o, X2:a]:(((epred5_1 @ X3 @ (^[Z0: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_117, c_0_10]), c_0_94])).
% 0.20/0.32 thf(c_0_120, negated_conjecture, ((epred6_1 @ cE @ (esk3_1 @ cE))|(epred5_1 @ cE @ cE)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_118]), c_0_102])])).
% 0.20/0.32 thf(c_0_121, plain, ![X3:a > $o, X2:a]:(((epred5_1 @ cE @ (^[Z0:a]:((((X3 @ Z0))|(((X2)=(Z0)))))))|(epred5_1 @ cE @ cE)|~((epred5_1 @ cE @ X3))|~((cE @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_86])])).
% 0.20/0.32 thf(c_0_122, plain, ![X2:a]:(((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((X2)=(Z0)))))))|(epred5_1 @ cE @ cE)|~((cE @ X2)))), inference(spm,[status(thm)],[c_0_121, c_0_107])).
% 0.20/0.32 thf(c_0_123, negated_conjecture, ((epred5_1 @ cE @ (^[Z0:a]:((((epred2_1 @ (epred5_1 @ cE) @ Z0))|(((esk1_1 @ (epred5_1 @ cE))=(Z0)))))))|(epred5_1 @ cE @ cE)), inference(spm,[status(thm)],[c_0_122, c_0_112])).
% 0.20/0.32 thf(c_0_124, 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_6])).
% 0.20/0.32 thf(c_0_125, negated_conjecture, (epred5_1 @ cE @ cE), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_123]), c_0_102])])).
% 0.20/0.32 thf(c_0_126, plain, ![X3:a > $o]:((~((epred6_1 @ X3 @ (esk3_1 @ X3)))|~((epred4_0 @ (esk2_1 @ X3)))|~((epred5_1 @ X3 @ X3)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_124, c_0_10]), c_0_98])).
% 0.20/0.32 thf(c_0_127, plain, ![X2:a]:(((epred6_1 @ cE @ X2)|~((cE @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110, c_0_125])])).
% 0.20/0.32 thf(c_0_128, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126, c_0_127]), c_0_86]), c_0_125]), c_0_116])]), ['proof']).
% 0.20/0.32 % SZS output end CNFRefutation
% 0.20/0.32 % Parsed axioms : 4
% 0.20/0.32 % Removed by relevancy pruning/SinE : 0
% 0.20/0.32 % Initial clauses : 35
% 0.20/0.32 % Removed in clause preprocessing : 3
% 0.20/0.32 % Initial clauses in saturation : 32
% 0.20/0.32 % Processed clauses : 610
% 0.20/0.32 % ...of these trivial : 6
% 0.20/0.32 % ...subsumed : 284
% 0.20/0.32 % ...remaining for further processing : 320
% 0.20/0.32 % Other redundant clauses eliminated : 0
% 0.20/0.32 % Clauses deleted for lack of memory : 0
% 0.20/0.32 % Backward-subsumed : 106
% 0.20/0.32 % Backward-rewritten : 80
% 0.20/0.32 % Generated clauses : 1739
% 0.20/0.32 % ...of the previous two non-redundant : 1599
% 0.20/0.32 % ...aggressively subsumed : 0
% 0.20/0.32 % Contextual simplify-reflections : 59
% 0.20/0.32 % Paramodulations : 1682
% 0.20/0.32 % Factorizations : 0
% 0.20/0.32 % NegExts : 7
% 0.20/0.32 % Equation resolutions : 0
% 0.20/0.32 % Disequality decompositions : 0
% 0.20/0.32 % Total rewrite steps : 232
% 0.20/0.32 % ...of those cached : 225
% 0.20/0.32 % Propositional unsat checks : 0
% 0.20/0.32 % Propositional check models : 0
% 0.20/0.32 % Propositional check unsatisfiable : 0
% 0.20/0.32 % Propositional clauses : 0
% 0.20/0.32 % Propositional clauses after purity: 0
% 0.20/0.32 % Propositional unsat core size : 0
% 0.20/0.32 % Propositional preprocessing time : 0.000
% 0.20/0.32 % Propositional encoding time : 0.000
% 0.20/0.32 % Propositional solver time : 0.000
% 0.20/0.32 % Success case prop preproc time : 0.000
% 0.20/0.32 % Success case prop encoding time : 0.000
% 0.20/0.32 % Success case prop solver time : 0.000
% 0.20/0.32 % Current number of processed clauses : 87
% 0.20/0.32 % Positive orientable unit clauses : 9
% 0.20/0.32 % Positive unorientable unit clauses: 0
% 0.20/0.32 % Negative unit clauses : 1
% 0.20/0.32 % Non-unit-clauses : 77
% 0.20/0.32 % Current number of unprocessed clauses: 836
% 0.20/0.32 % ...number of literals in the above : 5336
% 0.20/0.32 % Current number of archived formulas : 0
% 0.20/0.32 % Current number of archived clauses : 233
% 0.20/0.32 % Clause-clause subsumption calls (NU) : 9747
% 0.20/0.32 % Rec. Clause-clause subsumption calls : 1996
% 0.20/0.32 % Non-unit clause-clause subsumptions : 442
% 0.20/0.32 % Unit Clause-clause subsumption calls : 171
% 0.20/0.32 % Rewrite failures with RHS unbound : 0
% 0.20/0.32 % BW rewrite match attempts : 6
% 0.20/0.32 % BW rewrite match successes : 6
% 0.20/0.32 % Condensation attempts : 0
% 0.20/0.32 % Condensation successes : 0
% 0.20/0.32 % Termbank termtop insertions : 107957
% 0.20/0.32 % Search garbage collected termcells : 746
% 0.20/0.32
% 0.20/0.32 % -------------------------------------------------
% 0.20/0.32 % User time : 0.056 s
% 0.20/0.32 % System time : 0.004 s
% 0.20/0.32 % Total time : 0.061 s
% 0.20/0.32 % Maximum resident set size: 3644 pages
% 0.20/0.32
% 0.20/0.32 % -------------------------------------------------
% 0.20/0.32 % User time : 0.198 s
% 0.20/0.32 % System time : 0.014 s
% 0.20/0.32 % Total time : 0.212 s
% 0.20/0.32 % Maximum resident set size: 4864 pages
% 0.20/0.32 % E exiting
%------------------------------------------------------------------------------