0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.11/0.33 % Computer : n005.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1920 0.11/0.33 % WCLimit : 240 0.11/0.33 % DateTime : Wed Jul 30 02:25:34 EDT 2025 0.11/0.33 % CPUTime : 0.20/0.47 Running higher-order theorem proving 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox2/tmp/tmp.6E2WPrylQt/E---3.1_1376.p 13.79/2.20 # Version: 3.0.0-ho 13.79/2.20 # Preprocessing class: HSMSSMSSSSMNHHA. 13.79/2.20 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 13.79/2.20 # Starting ehoh_best4_fo with 960s (4) cores 13.79/2.20 # Starting ehoh_best_nonlift_rwall with 480s (2) cores 13.79/2.20 # Starting lpo1_lambda_fix with 240s (1) cores 13.79/2.20 # Starting full_lambda_9 with 240s (1) cores 13.79/2.20 # full_lambda_9 with pid 1457 completed with status 0 13.79/2.20 # Result found by full_lambda_9 13.79/2.20 # Preprocessing class: HSMSSMSSSSMNHHA. 13.79/2.20 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 13.79/2.20 # Starting ehoh_best4_fo with 960s (4) cores 13.79/2.20 # Starting ehoh_best_nonlift_rwall with 480s (2) cores 13.79/2.20 # Starting lpo1_lambda_fix with 240s (1) cores 13.79/2.20 # Starting full_lambda_9 with 240s (1) cores 13.79/2.20 # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true) 13.79/2.20 # Search class: HGHSF-FFMS11-SHHFFMBN 13.79/2.20 # partial match(1): HGHSF-FFMF11-SHHFFMBN 13.79/2.20 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 13.79/2.20 # Starting ehoh_best_nonlift with 80s (1) cores 13.79/2.20 # ehoh_best_nonlift with pid 1467 completed with status 0 13.79/2.20 # Result found by ehoh_best_nonlift 13.79/2.20 # Preprocessing class: HSMSSMSSSSMNHHA. 13.79/2.20 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 13.79/2.20 # Starting ehoh_best4_fo with 960s (4) cores 13.79/2.20 # Starting ehoh_best_nonlift_rwall with 480s (2) cores 13.79/2.20 # Starting lpo1_lambda_fix with 240s (1) cores 13.79/2.20 # Starting full_lambda_9 with 240s (1) cores 13.79/2.20 # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true) 13.79/2.20 # Search class: HGHSF-FFMS11-SHHFFMBN 13.79/2.20 # partial match(1): HGHSF-FFMF11-SHHFFMBN 13.79/2.20 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 13.79/2.20 # Starting ehoh_best_nonlift with 80s (1) cores 13.79/2.20 # Preprocessing time : 0.003 s 13.79/2.20 # Presaturation interreduction done 13.79/2.20 13.79/2.20 # Proof found! 13.79/2.20 # SZS status Theorem 13.79/2.20 # SZS output start CNFRefutation 13.79/2.20 thf(decl_sort1, type, a: $tType). 13.79/2.20 thf(decl_23, type, t: a). 13.79/2.20 thf(decl_24, type, cA: (a > $o) > $o). 13.79/2.20 thf(decl_25, type, epred1_0: a > $o). 13.79/2.20 thf(decl_26, type, epred2_0: a > $o). 13.79/2.20 thf(decl_27, type, esk1_1: (a > $o) > a). 13.79/2.20 thf(decl_28, type, epred3_1: (a > $o) > a > $o). 13.79/2.20 thf(decl_29, type, epred4_1: (a > $o) > (a > $o) > $o). 13.79/2.20 thf(decl_30, type, epred5_0: a > $o). 13.79/2.20 thf(decl_31, type, epred6_2: a > (a > $o) > a > $o). 13.79/2.20 thf(cDOMLEMMA5_pme, conjecture, (![X1:a > $o]:(((cA @ X1)<=((X1 @ t)&(cA @ X1))))&![X1:a > $o]:((?[X2:a > $o]:(((![X3:a]:(((X2 @ X3)=>(X1 @ X3)))&![X4:a > $o]:((((cA @ X4)&(X4 @ t))<=((cA @ X4)&![X3:a]:(((X4 @ X3)<=(X2 @ X3)))))))&![X5:(a > $o) > $o]:(((X5 @ X2)<=(![X6:a > $o]:(((X5 @ X6)=>![X7:a]:(((X5 @ (^[X8:a]:(((X6 @ X8)|((X7)=(X8))))))<=(X2 @ X7)))))&(X5 @ (^[X9:a]:(~($true)))))))))<=((X1 @ t)&(cA @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.6E2WPrylQt/E---3.1_1376.p', cDOMLEMMA5_pme)). 13.79/2.20 thf(c_0_1, negated_conjecture, ~((![X1:a > $o]:((((X1 @ t)&(cA @ X1))=>(cA @ X1)))&![X1:a > $o]:((((X1 @ t)&(cA @ X1))=>?[X2:a > $o]:(((![X3:a]:(((X2 @ X3)=>(X1 @ X3)))&![X4:a > $o]:((((cA @ X4)&![X3:a]:(((X2 @ X3)=>(X4 @ X3))))=>((cA @ X4)&(X4 @ t)))))&![X5:(a > $o) > $o]:(((![X6:a > $o]:(((X5 @ X6)=>![X7:a]:(((X2 @ X7)=>(X5 @ (^[Z0/* 9 */:a]:((X6 @ Z0|((X7)=(Z0))))))))))&(X5 @ (^[Z0/* 7 */:a]:(~($true)))))=>(X5 @ X2))))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cDOMLEMMA5_pme])])])). 13.79/2.20 thf(c_0_2, negated_conjecture, ![X21:a > $o, X24:a, X26:a > $o, X27:a]:(((((((epred2_0 @ t)|(epred1_0 @ t))&((cA @ epred2_0)|(epred1_0 @ t)))&((((((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|((cA @ (epred3_1 @ X21))|(X21 @ (esk1_1 @ X21)))|(epred1_0 @ t))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|((cA @ (epred3_1 @ X21))|(X21 @ (esk1_1 @ X21)))|(epred1_0 @ t)))&(~(epred4_1 @ X21 @ X21)|((cA @ (epred3_1 @ X21))|(X21 @ (esk1_1 @ X21)))|(epred1_0 @ t)))&(((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|(X21 @ (esk1_1 @ X21)))|(epred1_0 @ t))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|(X21 @ (esk1_1 @ X21)))|(epred1_0 @ t)))&(~(epred4_1 @ X21 @ X21)|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|(X21 @ (esk1_1 @ X21)))|(epred1_0 @ t))))&(((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|(X21 @ (esk1_1 @ X21)))|(epred1_0 @ t))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|(X21 @ (esk1_1 @ X21)))|(epred1_0 @ t)))&(~(epred4_1 @ X21 @ X21)|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|(X21 @ (esk1_1 @ X21)))|(epred1_0 @ t))))&(((((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|((cA @ (epred3_1 @ X21))|~(epred2_0 @ (esk1_1 @ X21)))|(epred1_0 @ t))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|((cA @ (epred3_1 @ X21))|~(epred2_0 @ (esk1_1 @ X21)))|(epred1_0 @ t)))&(~(epred4_1 @ X21 @ X21)|((cA @ (epred3_1 @ X21))|~(epred2_0 @ (esk1_1 @ X21)))|(epred1_0 @ t)))&(((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|~(epred2_0 @ (esk1_1 @ X21)))|(epred1_0 @ t))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|~(epred2_0 @ (esk1_1 @ X21)))|(epred1_0 @ t)))&(~(epred4_1 @ X21 @ X21)|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|~(epred2_0 @ (esk1_1 @ X21)))|(epred1_0 @ t))))&(((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|~(epred2_0 @ (esk1_1 @ X21)))|(epred1_0 @ t))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|~(epred2_0 @ (esk1_1 @ X21)))|(epred1_0 @ t)))&(~(epred4_1 @ X21 @ X21)|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|~(epred2_0 @ (esk1_1 @ X21)))|(epred1_0 @ t))))))&((((epred2_0 @ t)|(cA @ epred1_0))&((cA @ epred2_0)|(cA @ epred1_0)))&((((((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|((cA @ (epred3_1 @ X21))|(X21 @ (esk1_1 @ X21)))|(cA @ epred1_0))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|((cA @ (epred3_1 @ X21))|(X21 @ (esk1_1 @ X21)))|(cA @ epred1_0)))&(~(epred4_1 @ X21 @ X21)|((cA @ (epred3_1 @ X21))|(X21 @ (esk1_1 @ X21)))|(cA @ epred1_0)))&(((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|(X21 @ (esk1_1 @ X21)))|(cA @ epred1_0))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|(X21 @ (esk1_1 @ X21)))|(cA @ epred1_0)))&(~(epred4_1 @ X21 @ X21)|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|(X21 @ (esk1_1 @ X21)))|(cA @ epred1_0))))&(((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|(X21 @ (esk1_1 @ X21)))|(cA @ epred1_0))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|(X21 @ (esk1_1 @ X21)))|(cA @ epred1_0)))&(~(epred4_1 @ X21 @ X21)|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|(X21 @ (esk1_1 @ X21)))|(cA @ epred1_0))))&(((((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|((cA @ (epred3_1 @ X21))|~(epred2_0 @ (esk1_1 @ X21)))|(cA @ epred1_0))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|((cA @ (epred3_1 @ X21))|~(epred2_0 @ (esk1_1 @ X21)))|(cA @ epred1_0)))&(~(epred4_1 @ X21 @ X21)|((cA @ (epred3_1 @ X21))|~(epred2_0 @ (esk1_1 @ X21)))|(cA @ epred1_0)))&(((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|~(epred2_0 @ (esk1_1 @ X21)))|(cA @ epred1_0))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|~(epred2_0 @ (esk1_1 @ X21)))|(cA @ epred1_0)))&(~(epred4_1 @ X21 @ X21)|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|~(epred2_0 @ (esk1_1 @ X21)))|(cA @ epred1_0))))&(((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|~(epred2_0 @ (esk1_1 @ X21)))|(cA @ epred1_0))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|~(epred2_0 @ (esk1_1 @ X21)))|(cA @ epred1_0)))&(~(epred4_1 @ X21 @ X21)|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|~(epred2_0 @ (esk1_1 @ X21)))|(cA @ epred1_0)))))))&((((epred2_0 @ t)|~(cA @ epred1_0))&((cA @ epred2_0)|~(cA @ epred1_0)))&((((((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|((cA @ (epred3_1 @ X21))|(X21 @ (esk1_1 @ X21)))|~(cA @ epred1_0))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|((cA @ (epred3_1 @ X21))|(X21 @ (esk1_1 @ X21)))|~(cA @ epred1_0)))&(~(epred4_1 @ X21 @ X21)|((cA @ (epred3_1 @ X21))|(X21 @ (esk1_1 @ X21)))|~(cA @ epred1_0)))&(((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|(X21 @ (esk1_1 @ X21)))|~(cA @ epred1_0))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|(X21 @ (esk1_1 @ X21)))|~(cA @ epred1_0)))&(~(epred4_1 @ X21 @ X21)|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|(X21 @ (esk1_1 @ X21)))|~(cA @ epred1_0))))&(((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|(X21 @ (esk1_1 @ X21)))|~(cA @ epred1_0))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|(X21 @ (esk1_1 @ X21)))|~(cA @ epred1_0)))&(~(epred4_1 @ X21 @ X21)|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|(X21 @ (esk1_1 @ X21)))|~(cA @ epred1_0))))&(((((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|((cA @ (epred3_1 @ X21))|~(epred2_0 @ (esk1_1 @ X21)))|~(cA @ epred1_0))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|((cA @ (epred3_1 @ X21))|~(epred2_0 @ (esk1_1 @ X21)))|~(cA @ epred1_0)))&(~(epred4_1 @ X21 @ X21)|((cA @ (epred3_1 @ X21))|~(epred2_0 @ (esk1_1 @ X21)))|~(cA @ epred1_0)))&(((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|~(epred2_0 @ (esk1_1 @ X21)))|~(cA @ epred1_0))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|~(epred2_0 @ (esk1_1 @ X21)))|~(cA @ epred1_0)))&(~(epred4_1 @ X21 @ X21)|(~(X21 @ X24)|(epred3_1 @ X21 @ X24)|~(epred2_0 @ (esk1_1 @ X21)))|~(cA @ epred1_0))))&(((~(epred4_1 @ X21 @ X26)|(~(X21 @ X27)|(epred4_1 @ X21 @ (^[Z0/* 9 */:a]:((X26 @ Z0|((X27)=(Z0)))))))|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|~(epred2_0 @ (esk1_1 @ X21)))|~(cA @ epred1_0))&((epred4_1 @ X21 @ (^[Z0/* 7 */:a]:(~($true))))|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|~(epred2_0 @ (esk1_1 @ X21)))|~(cA @ epred1_0)))&(~(epred4_1 @ X21 @ X21)|(~(cA @ (epred3_1 @ X21))|~(epred3_1 @ X21 @ t)|~(epred2_0 @ (esk1_1 @ X21)))|~(cA @ epred1_0)))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])])). 13.79/2.20 thf(c_0_3, plain, ![X28:a]:(((epred5_0 @ X28)<=>~(($true)))), introduced(definition)). 13.79/2.20 thf(c_0_4, negated_conjecture, ![X1:a > $o, X3:a]:(((((epred4_1 @ X1 @ epred5_0))=(($true)))|(epred3_1 @ X1 @ X3)|(X1 @ (esk1_1 @ X1))|(cA @ epred1_0)|~((X1 @ X3)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 13.79/2.20 thf(c_0_5, plain, ![X64:a, X65:a > $o, X66:a]:(((~(epred6_2 @ X66 @ X65 @ X64)|((X65 @ X64)|((X66)=(X64))))&((~(X65 @ X64)|(epred6_2 @ X66 @ X65 @ X64))&(((X66)!=(X64))|(epred6_2 @ X66 @ X65 @ X64))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])])). 13.79/2.20 thf(c_0_6, negated_conjecture, ![X1:a > $o, X3:a]:(((((epred4_1 @ X1 @ epred5_0))=(($true)))|(epred3_1 @ X1 @ X3)|(X1 @ (esk1_1 @ X1))|~((X1 @ X3))|~((cA @ epred1_0)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 13.79/2.20 thf(c_0_7, negated_conjecture, ![X1:a > $o, X3:a]:(((epred4_1 @ X1 @ epred5_0)|(X1 @ (esk1_1 @ X1))|(epred3_1 @ X1 @ X3)|(cA @ epred1_0)|~((X1 @ X3)))), inference(cn,[status(thm)],[c_0_4])). 13.79/2.20 thf(c_0_8, plain, ![X1:a > $o, X3:a, X7:a]:(((epred6_2 @ X3 @ X1 @ X7)|((X3)!=(X7)))), inference(split_conjunct,[status(thm)],[c_0_5])). 13.79/2.20 thf(c_0_9, plain, ![X67:a]:(((~(epred5_0 @ X67)|~($true))&(($true)|(epred5_0 @ X67)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])). 13.79/2.20 thf(c_0_10, negated_conjecture, ![X1:a > $o, X3:a]:(((epred4_1 @ X1 @ epred5_0)|(X1 @ (esk1_1 @ X1))|(epred3_1 @ X1 @ X3)|~((X1 @ X3)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_6]), c_0_7])). 13.79/2.20 thf(c_0_11, plain, ![X1:a > $o, X3:a]:((epred6_2 @ X3 @ X1 @ X3)), inference(er,[status(thm)],[c_0_8])). 13.79/2.20 thf(c_0_12, negated_conjecture, ![X3:a, X1:a > $o]:(((((epred4_1 @ X1 @ epred5_0))=(($true)))|(epred3_1 @ X1 @ X3)|~((X1 @ X3))|~((epred2_0 @ (esk1_1 @ X1)))|~((cA @ epred1_0)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 13.79/2.20 thf(c_0_13, plain, ![X3:a]:((~((epred5_0 @ X3))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_9])). 13.79/2.20 thf(c_0_14, plain, ![X1:a > $o, X3:a, X7:a]:(((X1 @ X7)|((X3)=(X7))|~((epred6_2 @ X3 @ X1 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_5])). 13.79/2.20 thf(c_0_15, plain, ![X1:a > $o, X3:a]:(((epred6_2 @ X3 @ X1 @ (esk1_1 @ (epred6_2 @ X3 @ X1)))|(epred4_1 @ (epred6_2 @ X3 @ X1) @ epred5_0)|(epred3_1 @ (epred6_2 @ X3 @ X1) @ X3))), inference(spm,[status(thm)],[c_0_10, c_0_11])). 13.79/2.20 thf(c_0_16, negated_conjecture, ![X3:a, X1:a > $o]:(((((epred4_1 @ X1 @ epred5_0))=(($true)))|(epred3_1 @ X1 @ X3)|(cA @ epred1_0)|~((X1 @ X3))|~((epred2_0 @ (esk1_1 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 13.79/2.20 thf(c_0_17, negated_conjecture, ![X1:a > $o, X3:a]:(((epred4_1 @ X1 @ epred5_0)|(epred3_1 @ X1 @ X3)|~((epred2_0 @ (esk1_1 @ X1)))|~((cA @ epred1_0))|~((X1 @ X3)))), inference(cn,[status(thm)],[c_0_12])). 13.79/2.20 thf(c_0_18, plain, ![X3:a]:(~((epred5_0 @ X3))), inference(cn,[status(thm)],[c_0_13])). 13.79/2.20 thf(c_0_19, plain, ![X3:a, X1:a > $o]:((((esk1_1 @ (epred6_2 @ X3 @ X1))=(X3))|(epred4_1 @ (epred6_2 @ X3 @ X1) @ epred5_0)|(epred3_1 @ (epred6_2 @ X3 @ X1) @ X3)|(X1 @ (esk1_1 @ (epred6_2 @ X3 @ X1))))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 13.79/2.20 thf(c_0_20, plain, ![X29:a, X2:a > $o, X3:a]:(((epred6_2 @ X3 @ X2 @ X29)<=>((X2 @ X29)|((X3)=(X29))))), introduced(definition)). 13.79/2.20 thf(c_0_21, negated_conjecture, ![X1:a > $o, X3:a]:(((epred4_1 @ X1 @ epred5_0)|(epred3_1 @ X1 @ X3)|~((epred2_0 @ (esk1_1 @ X1)))|~((X1 @ X3)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_16]), c_0_17])). 13.79/2.20 thf(c_0_22, plain, ![X3:a]:((((esk1_1 @ (epred6_2 @ X3 @ epred5_0))=(X3))|(epred4_1 @ (epred6_2 @ X3 @ epred5_0) @ epred5_0)|(epred3_1 @ (epred6_2 @ X3 @ epred5_0) @ X3))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 13.79/2.20 thf(c_0_23, negated_conjecture, ![X1:a > $o, X3:a, X2:a > $o, X7:a]:(((((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2)))=(($true)))|(epred3_1 @ X1 @ X7)|(X1 @ (esk1_1 @ X1))|~((epred4_1 @ X1 @ X2))|~((X1 @ X3))|~((X1 @ X7))|~((cA @ epred1_0)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_20])). 13.79/2.20 thf(c_0_24, negated_conjecture, ![X7:a, X3:a]:(((epred4_1 @ (epred6_2 @ X3 @ epred5_0) @ epred5_0)|(epred3_1 @ (epred6_2 @ X3 @ epred5_0) @ X3)|(epred3_1 @ (epred6_2 @ X3 @ epred5_0) @ X7)|~((epred6_2 @ X3 @ epred5_0 @ X7))|~((epred2_0 @ X3)))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 13.79/2.20 thf(c_0_25, negated_conjecture, ((epred2_0 @ t)|(cA @ epred1_0)), inference(split_conjunct,[status(thm)],[c_0_2])). 13.79/2.20 thf(c_0_26, negated_conjecture, ((epred2_0 @ t)|~((cA @ epred1_0))), inference(split_conjunct,[status(thm)],[c_0_2])). 13.79/2.20 thf(c_0_27, negated_conjecture, ![X1:a > $o, X3:a, X2:a > $o, X7:a]:(((((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2)))=(($true)))|(epred3_1 @ X1 @ X7)|(X1 @ (esk1_1 @ X1))|(cA @ epred1_0)|~((epred4_1 @ X1 @ X2))|~((X1 @ X3))|~((X1 @ X7)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_20])). 13.79/2.20 thf(c_0_28, negated_conjecture, ![X1:a > $o, X2:a > $o, X7:a, X3:a]:(((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2))|(X1 @ (esk1_1 @ X1))|(epred3_1 @ X1 @ X7)|~((cA @ epred1_0))|~((epred4_1 @ X1 @ X2))|~((X1 @ X7))|~((X1 @ X3)))), inference(cn,[status(thm)],[c_0_23])). 13.79/2.20 thf(c_0_29, plain, ![X3:a]:(((epred4_1 @ (epred6_2 @ X3 @ epred5_0) @ epred5_0)|(epred3_1 @ (epred6_2 @ X3 @ epred5_0) @ X3)|~((epred2_0 @ X3)))), inference(spm,[status(thm)],[c_0_24, c_0_11])). 13.79/2.20 thf(c_0_30, negated_conjecture, (epred2_0 @ t), inference(csr,[status(thm)],[c_0_25, c_0_26])). 13.79/2.20 thf(c_0_31, negated_conjecture, ![X1:a > $o, X2:a > $o, X7:a, X3:a]:(((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2))|(X1 @ (esk1_1 @ X1))|(epred3_1 @ X1 @ X7)|~((epred4_1 @ X1 @ X2))|~((X1 @ X7))|~((X1 @ X3)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_27]), c_0_28])). 13.79/2.20 thf(c_0_32, negated_conjecture, ((epred3_1 @ (epred6_2 @ t @ epred5_0) @ t)|(epred4_1 @ (epred6_2 @ t @ epred5_0) @ epred5_0)), inference(spm,[status(thm)],[c_0_29, c_0_30])). 13.79/2.20 thf(c_0_33, negated_conjecture, ![X7:a, X3:a]:(((epred6_2 @ t @ epred5_0 @ (esk1_1 @ (epred6_2 @ t @ epred5_0)))|(epred4_1 @ (epred6_2 @ t @ epred5_0) @ (epred6_2 @ X3 @ epred5_0))|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ t)|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ X7)|~((epred6_2 @ t @ epred5_0 @ X7))|~((epred6_2 @ t @ epred5_0 @ X3)))), inference(spm,[status(thm)],[c_0_31, c_0_32])). 13.79/2.20 thf(c_0_34, plain, ![X3:a]:(((epred6_2 @ t @ epred5_0 @ (esk1_1 @ (epred6_2 @ t @ epred5_0)))|(epred4_1 @ (epred6_2 @ t @ epred5_0) @ (epred6_2 @ X3 @ epred5_0))|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ t)|~((epred6_2 @ t @ epred5_0 @ X3)))), inference(spm,[status(thm)],[c_0_33, c_0_11])). 13.79/2.20 thf(c_0_35, negated_conjecture, ![X1:a > $o, X3:a]:(((epred3_1 @ X1 @ X3)|(X1 @ (esk1_1 @ X1))|(cA @ epred1_0)|~((epred4_1 @ X1 @ X1))|~((X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_2])). 13.79/2.20 thf(c_0_36, negated_conjecture, ![X1:a > $o, X3:a]:(((epred3_1 @ X1 @ X3)|(X1 @ (esk1_1 @ X1))|~((epred4_1 @ X1 @ X1))|~((X1 @ X3))|~((cA @ epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_2])). 13.79/2.20 thf(c_0_37, plain, ((epred4_1 @ (epred6_2 @ t @ epred5_0) @ (epred6_2 @ t @ epred5_0))|(epred6_2 @ t @ epred5_0 @ (esk1_1 @ (epred6_2 @ t @ epred5_0)))|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ t)), inference(spm,[status(thm)],[c_0_34, c_0_11])). 13.79/2.20 thf(c_0_38, negated_conjecture, ![X1:a > $o, X3:a]:(((X1 @ (esk1_1 @ X1))|(epred3_1 @ X1 @ X3)|~((epred4_1 @ X1 @ X1))|~((X1 @ X3)))), inference(csr,[status(thm)],[c_0_35, c_0_36])). 13.79/2.20 thf(c_0_39, plain, (((esk1_1 @ (epred6_2 @ t @ epred5_0))=(t))|(epred4_1 @ (epred6_2 @ t @ epred5_0) @ (epred6_2 @ t @ epred5_0))|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ t)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_37]), c_0_18])). 13.79/2.20 thf(c_0_40, negated_conjecture, ![X3:a, X7:a, X2:a > $o, X1:a > $o]:(((((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2)))=(($true)))|(epred3_1 @ X1 @ X7)|~((epred4_1 @ X1 @ X2))|~((X1 @ X3))|~((X1 @ X7))|~((epred2_0 @ (esk1_1 @ X1)))|~((cA @ epred1_0)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_20])). 13.79/2.20 thf(c_0_41, negated_conjecture, ![X3:a]:((((esk1_1 @ (epred6_2 @ t @ epred5_0))=(t))|(epred6_2 @ t @ epred5_0 @ (esk1_1 @ (epred6_2 @ t @ epred5_0)))|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ t)|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ X3)|~((epred6_2 @ t @ epred5_0 @ X3)))), inference(spm,[status(thm)],[c_0_38, c_0_39])). 13.79/2.20 thf(c_0_42, negated_conjecture, ![X3:a, X7:a, X2:a > $o, X1:a > $o]:(((((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2)))=(($true)))|(epred3_1 @ X1 @ X7)|(cA @ epred1_0)|~((epred4_1 @ X1 @ X2))|~((X1 @ X3))|~((X1 @ X7))|~((epred2_0 @ (esk1_1 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_20])). 13.79/2.20 thf(c_0_43, negated_conjecture, ![X1:a > $o, X2:a > $o, X7:a, X3:a]:(((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2))|(epred3_1 @ X1 @ X7)|~((epred2_0 @ (esk1_1 @ X1)))|~((cA @ epred1_0))|~((epred4_1 @ X1 @ X2))|~((X1 @ X7))|~((X1 @ X3)))), inference(cn,[status(thm)],[c_0_40])). 13.79/2.20 thf(c_0_44, plain, (((esk1_1 @ (epred6_2 @ t @ epred5_0))=(t))|(epred6_2 @ t @ epred5_0 @ (esk1_1 @ (epred6_2 @ t @ epred5_0)))|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ t)), inference(spm,[status(thm)],[c_0_41, c_0_11])). 13.79/2.20 thf(c_0_45, negated_conjecture, ![X1:a > $o, X2:a > $o, X7:a, X3:a]:(((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2))|(epred3_1 @ X1 @ X7)|~((epred2_0 @ (esk1_1 @ X1)))|~((epred4_1 @ X1 @ X2))|~((X1 @ X7))|~((X1 @ X3)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_42]), c_0_43])). 13.79/2.20 thf(c_0_46, plain, (((esk1_1 @ (epred6_2 @ t @ epred5_0))=(t))|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ t)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_44]), c_0_18])). 13.79/2.20 thf(c_0_47, negated_conjecture, ![X1:a > $o, X7:a, X3:a]:(((epred4_1 @ (epred6_2 @ t @ epred5_0) @ (epred6_2 @ X3 @ X1))|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ t)|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ X7)|~((epred4_1 @ (epred6_2 @ t @ epred5_0) @ X1))|~((epred6_2 @ t @ epred5_0 @ X7))|~((epred6_2 @ t @ epred5_0 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_30])])). 13.79/2.20 thf(c_0_48, negated_conjecture, ![X1:a > $o]:(((((epred4_1 @ X1 @ epred5_0))=(($true)))|(cA @ (epred3_1 @ X1))|(X1 @ (esk1_1 @ X1))|~((cA @ epred1_0)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 13.79/2.20 thf(c_0_49, negated_conjecture, ![X3:a, X1:a > $o]:(((epred3_1 @ X1 @ X3)|(cA @ epred1_0)|~((epred4_1 @ X1 @ X1))|~((X1 @ X3))|~((epred2_0 @ (esk1_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 13.79/2.20 thf(c_0_50, negated_conjecture, ![X3:a, X1:a > $o]:(((epred3_1 @ X1 @ X3)|~((epred4_1 @ X1 @ X1))|~((X1 @ X3))|~((epred2_0 @ (esk1_1 @ X1)))|~((cA @ epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_2])). 13.79/2.20 thf(c_0_51, negated_conjecture, ![X7:a, X3:a]:(((epred4_1 @ (epred6_2 @ t @ epred5_0) @ (epred6_2 @ X3 @ epred5_0))|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ t)|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ X7)|~((epred6_2 @ t @ epred5_0 @ X7))|~((epred6_2 @ t @ epred5_0 @ X3)))), inference(spm,[status(thm)],[c_0_47, c_0_32])). 13.79/2.20 thf(c_0_52, negated_conjecture, ![X1:a > $o]:(((((epred4_1 @ X1 @ epred5_0))=(($true)))|(cA @ (epred3_1 @ X1))|(X1 @ (esk1_1 @ X1))|(cA @ epred1_0))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 13.79/2.20 thf(c_0_53, negated_conjecture, ![X1:a > $o]:(((epred4_1 @ X1 @ epred5_0)|(cA @ (epred3_1 @ X1))|(X1 @ (esk1_1 @ X1))|~((cA @ epred1_0)))), inference(cn,[status(thm)],[c_0_48])). 13.79/2.20 thf(c_0_54, negated_conjecture, ![X1:a > $o, X3:a]:(((epred3_1 @ X1 @ X3)|~((epred2_0 @ (esk1_1 @ X1)))|~((epred4_1 @ X1 @ X1))|~((X1 @ X3)))), inference(csr,[status(thm)],[c_0_49, c_0_50])). 13.79/2.20 thf(c_0_55, plain, ![X3:a]:(((epred4_1 @ (epred6_2 @ t @ epred5_0) @ (epred6_2 @ X3 @ epred5_0))|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ t)|~((epred6_2 @ t @ epred5_0 @ X3)))), inference(spm,[status(thm)],[c_0_51, c_0_11])). 13.79/2.20 thf(c_0_56, negated_conjecture, ![X1:a > $o, X2:a > $o, X3:a]:(((((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2)))=(($true)))|(cA @ (epred3_1 @ X1))|(X1 @ (esk1_1 @ X1))|(cA @ epred1_0)|~((epred4_1 @ X1 @ X2))|~((X1 @ X3)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_20])). 13.79/2.20 thf(c_0_57, negated_conjecture, ![X1:a > $o]:(((((epred4_1 @ X1 @ epred5_0))=(($true)))|(cA @ (epred3_1 @ X1))|(cA @ epred1_0)|~((epred2_0 @ (esk1_1 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 13.79/2.20 thf(c_0_58, negated_conjecture, ![X1:a > $o]:(((((epred4_1 @ X1 @ epred5_0))=(($true)))|(X1 @ (esk1_1 @ X1))|(cA @ epred1_0)|~((cA @ (epred3_1 @ X1)))|~((epred3_1 @ X1 @ t)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 13.79/2.20 thf(c_0_59, negated_conjecture, ![X1:a > $o]:(((epred4_1 @ X1 @ epred5_0)|(cA @ (epred3_1 @ X1))|(X1 @ (esk1_1 @ X1)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_52]), c_0_53])). 13.79/2.20 thf(c_0_60, negated_conjecture, ![X3:a]:(((epred3_1 @ (epred6_2 @ t @ epred5_0) @ t)|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ X3)|~((epred4_1 @ (epred6_2 @ t @ epred5_0) @ (epred6_2 @ t @ epred5_0)))|~((epred6_2 @ t @ epred5_0 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_46]), c_0_30])])). 13.79/2.20 thf(c_0_61, plain, ((epred4_1 @ (epred6_2 @ t @ epred5_0) @ (epred6_2 @ t @ epred5_0))|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ t)), inference(spm,[status(thm)],[c_0_55, c_0_11])). 13.79/2.20 thf(c_0_62, negated_conjecture, ![X1:a > $o, X2:a > $o, X3:a]:(((((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2)))=(($true)))|(cA @ (epred3_1 @ X1))|(X1 @ (esk1_1 @ X1))|~((epred4_1 @ X1 @ X2))|~((X1 @ X3))|~((cA @ epred1_0)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_20])). 13.79/2.20 thf(c_0_63, negated_conjecture, ![X1:a > $o, X2:a > $o, X3:a]:(((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2))|(cA @ (epred3_1 @ X1))|(X1 @ (esk1_1 @ X1))|(cA @ epred1_0)|~((epred4_1 @ X1 @ X2))|~((X1 @ X3)))), inference(cn,[status(thm)],[c_0_56])). 13.79/2.20 thf(c_0_64, negated_conjecture, ![X1:a > $o]:(((((epred4_1 @ X1 @ epred5_0))=(($true)))|(cA @ (epred3_1 @ X1))|~((epred2_0 @ (esk1_1 @ X1)))|~((cA @ epred1_0)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 13.79/2.20 thf(c_0_65, negated_conjecture, ![X1:a > $o]:(((epred4_1 @ X1 @ epred5_0)|(cA @ (epred3_1 @ X1))|(cA @ epred1_0)|~((epred2_0 @ (esk1_1 @ X1))))), inference(cn,[status(thm)],[c_0_57])). 13.79/2.20 thf(c_0_66, negated_conjecture, ![X1:a > $o]:(((((epred4_1 @ X1 @ epred5_0))=(($true)))|(X1 @ (esk1_1 @ X1))|~((cA @ (epred3_1 @ X1)))|~((epred3_1 @ X1 @ t))|~((cA @ epred1_0)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 13.79/2.20 thf(c_0_67, negated_conjecture, ![X1:a > $o]:(((epred4_1 @ X1 @ epred5_0)|(X1 @ (esk1_1 @ X1))|(cA @ epred1_0)|~((epred3_1 @ X1 @ t)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_58]), c_0_59])). 13.79/2.20 thf(c_0_68, negated_conjecture, ![X3:a]:(((epred3_1 @ (epred6_2 @ t @ epred5_0) @ t)|(epred3_1 @ (epred6_2 @ t @ epred5_0) @ X3)|~((epred6_2 @ t @ epred5_0 @ X3)))), inference(spm,[status(thm)],[c_0_60, c_0_61])). 13.79/2.20 thf(c_0_69, negated_conjecture, ![X3:a, X2:a > $o, X1:a > $o]:(((((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2)))=(($true)))|(X1 @ (esk1_1 @ X1))|~((epred4_1 @ X1 @ X2))|~((X1 @ X3))|~((cA @ (epred3_1 @ X1)))|~((epred3_1 @ X1 @ t))|~((cA @ epred1_0)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_20])). 13.79/2.20 thf(c_0_70, negated_conjecture, ![X1:a > $o, X2:a > $o, X3:a]:(((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2))|(cA @ (epred3_1 @ X1))|(X1 @ (esk1_1 @ X1))|~((epred4_1 @ X1 @ X2))|~((X1 @ X3)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_62]), c_0_63])). 13.79/2.20 thf(c_0_71, negated_conjecture, ![X1:a > $o]:(((((epred4_1 @ X1 @ epred5_0))=(($true)))|~((cA @ (epred3_1 @ X1)))|~((epred3_1 @ X1 @ t))|~((epred2_0 @ (esk1_1 @ X1)))|~((cA @ epred1_0)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 13.79/2.20 thf(c_0_72, negated_conjecture, ![X1:a > $o]:(((epred4_1 @ X1 @ epred5_0)|(cA @ (epred3_1 @ X1))|~((epred2_0 @ (esk1_1 @ X1))))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_64]), c_0_65])). 13.79/2.20 thf(c_0_73, negated_conjecture, ![X1:a > $o]:(((epred4_1 @ X1 @ epred5_0)|(X1 @ (esk1_1 @ X1))|~((epred3_1 @ X1 @ t)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_66]), c_0_67]), c_0_59])). 13.79/2.20 thf(c_0_74, plain, (epred3_1 @ (epred6_2 @ t @ epred5_0) @ t), inference(spm,[status(thm)],[c_0_68, c_0_11])). 13.79/2.20 thf(c_0_75, negated_conjecture, ![X1:a > $o]:(((cA @ (epred3_1 @ X1))|(X1 @ (esk1_1 @ X1))|(cA @ epred1_0)|~((epred4_1 @ X1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_2])). 13.79/2.20 thf(c_0_76, negated_conjecture, ![X1:a > $o]:(((cA @ (epred3_1 @ X1))|(X1 @ (esk1_1 @ X1))|~((epred4_1 @ X1 @ X1))|~((cA @ epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_2])). 13.79/2.20 thf(c_0_77, negated_conjecture, ![X3:a, X2:a > $o, X1:a > $o]:(((((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2)))=(($true)))|(X1 @ (esk1_1 @ X1))|(cA @ epred1_0)|~((epred4_1 @ X1 @ X2))|~((X1 @ X3))|~((cA @ (epred3_1 @ X1)))|~((epred3_1 @ X1 @ t)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_20])). 13.79/2.20 thf(c_0_78, negated_conjecture, ![X1:a > $o, X2:a > $o, X3:a]:(((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2))|(X1 @ (esk1_1 @ X1))|~((epred3_1 @ X1 @ t))|~((cA @ epred1_0))|~((epred4_1 @ X1 @ X2))|~((X1 @ X3)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_69]), c_0_70])). 13.79/2.20 thf(c_0_79, negated_conjecture, ![X1:a > $o]:(((((epred4_1 @ X1 @ epred5_0))=(($true)))|(cA @ epred1_0)|~((cA @ (epred3_1 @ X1)))|~((epred3_1 @ X1 @ t))|~((epred2_0 @ (esk1_1 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_3])). 13.79/2.20 thf(c_0_80, negated_conjecture, ![X1:a > $o]:(((epred4_1 @ X1 @ epred5_0)|~((epred2_0 @ (esk1_1 @ X1)))|~((epred3_1 @ X1 @ t))|~((cA @ epred1_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_71]), c_0_72])). 13.79/2.20 thf(c_0_81, negated_conjecture, ((epred6_2 @ t @ epred5_0 @ (esk1_1 @ (epred6_2 @ t @ epred5_0)))|(epred4_1 @ (epred6_2 @ t @ epred5_0) @ epred5_0)), inference(spm,[status(thm)],[c_0_73, c_0_74])). 13.79/2.20 thf(c_0_82, negated_conjecture, ![X1:a > $o]:(((X1 @ (esk1_1 @ X1))|~((epred4_1 @ X1 @ X1))|~((cA @ (epred3_1 @ X1)))|~((epred3_1 @ X1 @ t))|~((cA @ epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_2])). 13.79/2.20 thf(c_0_83, negated_conjecture, ![X1:a > $o]:(((cA @ (epred3_1 @ X1))|(X1 @ (esk1_1 @ X1))|~((epred4_1 @ X1 @ X1)))), inference(csr,[status(thm)],[c_0_75, c_0_76])). 13.79/2.20 thf(c_0_84, negated_conjecture, ![X1:a > $o, X2:a > $o, X3:a]:(((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2))|(X1 @ (esk1_1 @ X1))|~((epred3_1 @ X1 @ t))|~((epred4_1 @ X1 @ X2))|~((X1 @ X3)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_77]), c_0_70]), c_0_78])). 13.79/2.20 thf(c_0_85, negated_conjecture, ![X1:a > $o]:(((epred4_1 @ X1 @ epred5_0)|~((epred2_0 @ (esk1_1 @ X1)))|~((epred3_1 @ X1 @ t)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_79]), c_0_72]), c_0_80])). 13.79/2.20 thf(c_0_86, plain, (((esk1_1 @ (epred6_2 @ t @ epred5_0))=(t))|(epred4_1 @ (epred6_2 @ t @ epred5_0) @ epred5_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_81]), c_0_18])). 13.79/2.20 thf(c_0_87, negated_conjecture, ![X1:a > $o]:(((X1 @ (esk1_1 @ X1))|(cA @ epred1_0)|~((epred4_1 @ X1 @ X1))|~((cA @ (epred3_1 @ X1)))|~((epred3_1 @ X1 @ t)))), inference(split_conjunct,[status(thm)],[c_0_2])). 13.79/2.20 thf(c_0_88, negated_conjecture, ![X1:a > $o]:(((X1 @ (esk1_1 @ X1))|~((epred3_1 @ X1 @ t))|~((cA @ epred1_0))|~((epred4_1 @ X1 @ X1)))), inference(csr,[status(thm)],[c_0_82, c_0_83])). 13.79/2.20 thf(c_0_89, negated_conjecture, ![X3:a, X2:a > $o, X1:a > $o]:(((((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2)))=(($true)))|(cA @ (epred3_1 @ X1))|~((epred4_1 @ X1 @ X2))|~((X1 @ X3))|~((epred2_0 @ (esk1_1 @ X1)))|~((cA @ epred1_0)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_20])). 13.79/2.20 thf(c_0_90, negated_conjecture, ![X1:a > $o]:(((cA @ (epred3_1 @ X1))|(cA @ epred1_0)|~((epred4_1 @ X1 @ X1))|~((epred2_0 @ (esk1_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 13.79/2.20 thf(c_0_91, negated_conjecture, ![X1:a > $o]:(((cA @ (epred3_1 @ X1))|~((epred4_1 @ X1 @ X1))|~((epred2_0 @ (esk1_1 @ X1)))|~((cA @ epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_2])). 13.79/2.20 thf(c_0_92, negated_conjecture, ![X1:a > $o, X3:a]:(((epred6_2 @ t @ epred5_0 @ (esk1_1 @ (epred6_2 @ t @ epred5_0)))|(epred4_1 @ (epred6_2 @ t @ epred5_0) @ (epred6_2 @ X3 @ X1))|~((epred4_1 @ (epred6_2 @ t @ epred5_0) @ X1))|~((epred6_2 @ t @ epred5_0 @ X3)))), inference(spm,[status(thm)],[c_0_84, c_0_74])). 13.79/2.20 thf(c_0_93, negated_conjecture, (epred4_1 @ (epred6_2 @ t @ epred5_0) @ epred5_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_30]), c_0_74])])). 13.79/2.20 thf(c_0_94, negated_conjecture, ![X1:a > $o]:(((X1 @ (esk1_1 @ X1))|~((epred3_1 @ X1 @ t))|~((epred4_1 @ X1 @ X1)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_87, c_0_83]), c_0_88])). 13.79/2.20 thf(c_0_95, negated_conjecture, ![X3:a, X2:a > $o, X1:a > $o]:(((((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2)))=(($true)))|(cA @ (epred3_1 @ X1))|(cA @ epred1_0)|~((epred4_1 @ X1 @ X2))|~((X1 @ X3))|~((epred2_0 @ (esk1_1 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_20])). 13.79/2.20 thf(c_0_96, negated_conjecture, ![X1:a > $o, X2:a > $o, X3:a]:(((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2))|(cA @ (epred3_1 @ X1))|~((epred2_0 @ (esk1_1 @ X1)))|~((cA @ epred1_0))|~((epred4_1 @ X1 @ X2))|~((X1 @ X3)))), inference(cn,[status(thm)],[c_0_89])). 13.79/2.20 thf(c_0_97, negated_conjecture, ![X1:a > $o]:((~((epred4_1 @ X1 @ X1))|~((cA @ (epred3_1 @ X1)))|~((epred3_1 @ X1 @ t))|~((epred2_0 @ (esk1_1 @ X1)))|~((cA @ epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_2])). 13.79/2.20 thf(c_0_98, negated_conjecture, ![X1:a > $o]:(((cA @ (epred3_1 @ X1))|~((epred2_0 @ (esk1_1 @ X1)))|~((epred4_1 @ X1 @ X1)))), inference(csr,[status(thm)],[c_0_90, c_0_91])). 13.79/2.20 thf(c_0_99, negated_conjecture, ![X3:a]:(((epred6_2 @ t @ epred5_0 @ (esk1_1 @ (epred6_2 @ t @ epred5_0)))|(epred4_1 @ (epred6_2 @ t @ epred5_0) @ (epred6_2 @ X3 @ epred5_0))|~((epred6_2 @ t @ epred5_0 @ X3)))), inference(spm,[status(thm)],[c_0_92, c_0_93])). 13.79/2.20 thf(c_0_100, negated_conjecture, ((epred6_2 @ t @ epred5_0 @ (esk1_1 @ (epred6_2 @ t @ epred5_0)))|~((epred4_1 @ (epred6_2 @ t @ epred5_0) @ (epred6_2 @ t @ epred5_0)))), inference(spm,[status(thm)],[c_0_94, c_0_74])). 13.79/2.20 thf(c_0_101, negated_conjecture, ![X3:a, X2:a > $o, X1:a > $o]:(((((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2)))=(($true)))|~((epred4_1 @ X1 @ X2))|~((X1 @ X3))|~((cA @ (epred3_1 @ X1)))|~((epred3_1 @ X1 @ t))|~((epred2_0 @ (esk1_1 @ X1)))|~((cA @ epred1_0)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_20])). 13.79/2.20 thf(c_0_102, negated_conjecture, ![X1:a > $o, X2:a > $o, X3:a]:(((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2))|(cA @ (epred3_1 @ X1))|~((epred2_0 @ (esk1_1 @ X1)))|~((epred4_1 @ X1 @ X2))|~((X1 @ X3)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_95]), c_0_96])). 13.79/2.20 thf(c_0_103, negated_conjecture, ![X1:a > $o]:(((cA @ epred1_0)|~((epred4_1 @ X1 @ X1))|~((cA @ (epred3_1 @ X1)))|~((epred3_1 @ X1 @ t))|~((epred2_0 @ (esk1_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 13.79/2.20 thf(c_0_104, negated_conjecture, ![X1:a > $o]:((~((epred2_0 @ (esk1_1 @ X1)))|~((epred3_1 @ X1 @ t))|~((cA @ epred1_0))|~((epred4_1 @ X1 @ X1)))), inference(csr,[status(thm)],[c_0_97, c_0_98])). 13.79/2.20 thf(c_0_105, plain, (epred6_2 @ t @ epred5_0 @ (esk1_1 @ (epred6_2 @ t @ epred5_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_11]), c_0_100])). 13.79/2.20 thf(c_0_106, negated_conjecture, ![X3:a, X2:a > $o, X1:a > $o]:(((((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2)))=(($true)))|(cA @ epred1_0)|~((epred4_1 @ X1 @ X2))|~((X1 @ X3))|~((cA @ (epred3_1 @ X1)))|~((epred3_1 @ X1 @ t))|~((epred2_0 @ (esk1_1 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_20])). 13.79/2.20 thf(c_0_107, negated_conjecture, ![X1:a > $o, X2:a > $o, X3:a]:(((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2))|~((epred2_0 @ (esk1_1 @ X1)))|~((epred3_1 @ X1 @ t))|~((cA @ epred1_0))|~((epred4_1 @ X1 @ X2))|~((X1 @ X3)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_101]), c_0_102])). 13.79/2.20 thf(c_0_108, negated_conjecture, ![X1:a > $o]:((~((epred2_0 @ (esk1_1 @ X1)))|~((epred3_1 @ X1 @ t))|~((epred4_1 @ X1 @ X1)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_103, c_0_98]), c_0_104])). 13.79/2.20 thf(c_0_109, plain, ((esk1_1 @ (epred6_2 @ t @ epred5_0))=(t)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_105]), c_0_18])). 13.79/2.20 thf(c_0_110, negated_conjecture, ![X1:a > $o, X2:a > $o, X3:a]:(((epred4_1 @ X1 @ (epred6_2 @ X3 @ X2))|~((epred2_0 @ (esk1_1 @ X1)))|~((epred3_1 @ X1 @ t))|~((epred4_1 @ X1 @ X2))|~((X1 @ X3)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[c_0_106]), c_0_102]), c_0_107])). 13.79/2.20 thf(c_0_111, negated_conjecture, ~((epred4_1 @ (epred6_2 @ t @ epred5_0) @ (epred6_2 @ t @ epred5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_109]), c_0_30]), c_0_74])])). 13.79/2.20 thf(c_0_112, negated_conjecture, ![X1:a > $o, X3:a]:(((epred4_1 @ (epred6_2 @ t @ epred5_0) @ (epred6_2 @ X3 @ X1))|~((epred4_1 @ (epred6_2 @ t @ epred5_0) @ X1))|~((epred6_2 @ t @ epred5_0 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_109]), c_0_30]), c_0_74])])). 13.79/2.20 thf(c_0_113, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_112]), c_0_93]), c_0_11])]), ['proof']). 13.79/2.20 # SZS output end CNFRefutation 13.79/2.20 # Parsed axioms : 4 13.79/2.20 # Removed by relevancy pruning/SinE : 3 13.79/2.20 # Initial clauses : 65 13.79/2.20 # Removed in clause preprocessing : 1 13.79/2.20 # Initial clauses in saturation : 64 13.79/2.20 # Processed clauses : 3373 13.79/2.20 # ...of these trivial : 15 13.79/2.20 # ...subsumed : 1471 13.79/2.20 # ...remaining for further processing : 1887 13.79/2.20 # Other redundant clauses eliminated : 310 13.79/2.20 # Clauses deleted for lack of memory : 0 13.79/2.20 # Backward-subsumed : 125 13.79/2.20 # Backward-rewritten : 16 13.79/2.20 # Generated clauses : 12526 13.79/2.20 # ...of the previous two non-redundant : 10718 13.79/2.20 # ...aggressively subsumed : 0 13.79/2.20 # Contextual simplify-reflections : 48 13.79/2.20 # Paramodulations : 11955 13.79/2.20 # Factorizations : 25 13.79/2.20 # NegExts : 35 13.79/2.20 # Equation resolutions : 311 13.79/2.20 # Disequality decompositions : 0 13.79/2.20 # Total rewrite steps : 1617 13.79/2.20 # ...of those cached : 1493 13.79/2.20 # Propositional unsat checks : 0 13.79/2.20 # Propositional check models : 0 13.79/2.20 # Propositional check unsatisfiable : 0 13.79/2.20 # Propositional clauses : 0 13.79/2.20 # Propositional clauses after purity: 0 13.79/2.20 # Propositional unsat core size : 0 13.79/2.20 # Propositional preprocessing time : 0.000 13.79/2.20 # Propositional encoding time : 0.000 13.79/2.20 # Propositional solver time : 0.000 13.79/2.20 # Success case prop preproc time : 0.000 13.79/2.20 # Success case prop encoding time : 0.000 13.79/2.20 # Success case prop solver time : 0.000 13.79/2.20 # Current number of processed clauses : 1704 13.79/2.20 # Positive orientable unit clauses : 38 13.79/2.20 # Positive unorientable unit clauses: 0 13.79/2.20 # Negative unit clauses : 3 13.79/2.20 # Non-unit-clauses : 1663 13.79/2.20 # Current number of unprocessed clauses: 7211 13.79/2.20 # ...number of literals in the above : 46456 13.79/2.20 # Current number of archived formulas : 0 13.79/2.20 # Current number of archived clauses : 182 13.79/2.20 # Clause-clause subsumption calls (NU) : 864877 13.79/2.20 # Rec. Clause-clause subsumption calls : 45225 13.79/2.20 # Non-unit clause-clause subsumptions : 1618 13.79/2.20 # Unit Clause-clause subsumption calls : 10843 13.79/2.20 # Rewrite failures with RHS unbound : 0 13.79/2.20 # BW rewrite match attempts : 5701 13.79/2.20 # BW rewrite match successes : 14 13.79/2.20 # Condensation attempts : 0 13.79/2.20 # Condensation successes : 0 13.79/2.20 # Termbank termtop insertions : 4105603 13.79/2.20 # Search garbage collected termcells : 628 13.79/2.20 13.79/2.20 # ------------------------------------------------- 13.79/2.20 # User time : 1.632 s 13.79/2.20 # System time : 0.016 s 13.79/2.20 # Total time : 1.648 s 13.79/2.20 # Maximum resident set size: 2116 pages 13.79/2.20 13.79/2.20 # ------------------------------------------------- 13.79/2.20 # User time : 1.633 s 13.79/2.20 # System time : 0.018 s 13.79/2.20 # Total time : 1.651 s 13.79/2.20 # Maximum resident set size: 1788 pages 13.79/2.20 % E exiting 13.79/2.20 % E exiting 13.79/2.20 EOF