0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n025.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:40:11 EDT 2022 0.13/0.34 % CPUTime : 0.20/0.47 Running higher-order on 8 cores theorem proving 0.20/0.47 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=120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.20/0.47 # Version: 3.0pre003-ho 1.59/0.68 # Preprocessing class: HSSSSMSSSSSNHHA. 1.59/0.68 # Scheduled 5 strats onto 8 cores with 120 seconds (960 total) 1.59/0.68 # Starting sh2lt with 480s (4) cores 1.59/0.68 # Starting new_ho_10_unif with 120s (1) cores 1.59/0.68 # Starting full_lambda_6 with 120s (1) cores 1.59/0.68 # Starting post_as_ho1 with 120s (1) cores 1.59/0.68 # Starting ehoh_best3_rw with 120s (1) cores 1.59/0.68 # sh2lt with pid 18299 completed with status 0 1.59/0.68 # Result found by sh2lt 1.59/0.68 # Preprocessing class: HSSSSMSSSSSNHHA. 1.59/0.68 # Scheduled 5 strats onto 8 cores with 120 seconds (960 total) 1.59/0.68 # Starting sh2lt with 480s (4) cores 1.59/0.68 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 1.59/0.68 # ...ProofStateSinE()=1/1 1.59/0.68 # Search class: HGHNF-FFMF22-SHHFFMBN 1.59/0.68 # Scheduled 5 strats onto 4 cores with 480 seconds (480 total) 1.59/0.68 # Starting ehoh_best4_fo with 289s (1) cores 1.59/0.68 # Starting ehoh_best3_rw with 49s (1) cores 1.59/0.68 # Starting pre_casc_9 with 49s (1) cores 1.59/0.68 # Starting ehoh_best4_lambda with 49s (1) cores 1.59/0.68 # ehoh_best3_rw with pid 18308 completed with status 0 1.59/0.68 # Result found by ehoh_best3_rw 1.59/0.68 # Preprocessing class: HSSSSMSSSSSNHHA. 1.59/0.68 # Scheduled 5 strats onto 8 cores with 120 seconds (960 total) 1.59/0.68 # Starting sh2lt with 480s (4) cores 1.59/0.68 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 1.59/0.68 # ...ProofStateSinE()=1/1 1.59/0.68 # Search class: HGHNF-FFMF22-SHHFFMBN 1.59/0.68 # Scheduled 5 strats onto 4 cores with 480 seconds (480 total) 1.59/0.68 # Starting ehoh_best4_fo with 289s (1) cores 1.59/0.68 # Starting ehoh_best3_rw with 49s (1) cores 1.59/0.68 # Preprocessing time : 0.002 s 1.59/0.68 # Presaturation interreduction done 1.59/0.68 1.59/0.68 # Proof found! 1.59/0.68 # SZS status Theorem 1.59/0.68 # SZS output start CNFRefutation 1.59/0.68 thf(decl_22, type, epred1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.59/0.68 thf(decl_23, type, epred2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.59/0.68 thf(decl_24, type, epred3_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.59/0.68 thf(decl_25, type, esk1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 1.59/0.68 thf(decl_26, type, epred4_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.59/0.68 thf(decl_27, type, esk2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 1.59/0.68 thf(decl_28, type, epred5_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.59/0.68 thf(decl_29, type, epred6_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.59/0.68 thf(decl_30, type, esk3_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 1.59/0.68 thf(decl_31, type, esk4_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 1.59/0.68 thf(decl_32, type, esk5_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 1.59/0.68 thf(decl_33, type, esk6_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 1.59/0.68 thf(decl_34, type, esk7_1: (($i > $o) > ($i > $o) > $i > $o) > $i). 1.59/0.68 thf(decl_35, type, esk8_0: $i). 1.59/0.68 thf(decl_36, type, esk9_0: $i). 1.59/0.68 thf(cTHM122C_pme, conjecture, ?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((![X3:$i > $o, X4:$i > $o, X5:$i > $o]:((![X6:$i]:(((X2 @ X3 @ X5 @ X6)|(X1 @ X3 @ X5 @ X6)))<=(![X6:$i]:(((X1 @ X3 @ X4 @ X6)|(X2 @ X3 @ X4 @ X6)))&![X6:$i]:(((X1 @ X4 @ X5 @ X6)|(X2 @ X4 @ X5 @ X6))))))&![X3:$i > $o, X6:$i]:(((X2 @ X3 @ X3 @ X6)|(X1 @ X3 @ X3 @ X6))))&![X7:$i > $o, X8:$i > $o]:((![X9:$i]:(((X7 @ X9)=>(X8 @ X9)))<=![X6:$i]:(((X2 @ X7 @ X8 @ X6)|(X1 @ X7 @ X8 @ X6))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cTHM122C_pme)). 1.59/0.68 thf(c_0_1, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((![X3:$i > $o, X4:$i > $o, X5:$i > $o]:(((![X6:$i]:(((X1 @ X3 @ X4 @ X6)|(X2 @ X3 @ X4 @ X6)))&![X6:$i]:(((X1 @ X4 @ X5 @ X6)|(X2 @ X4 @ X5 @ X6))))=>![X6:$i]:(((X2 @ X3 @ X5 @ X6)|(X1 @ X3 @ X5 @ X6)))))&![X3:$i > $o, X6:$i]:(((X2 @ X3 @ X3 @ X6)|(X1 @ X3 @ X3 @ X6))))&![X7:$i > $o, X8:$i > $o]:((![X6:$i]:(((X2 @ X7 @ X8 @ X6)|(X1 @ X7 @ X8 @ X6)))=>![X9:$i]:(((X7 @ X9)=>(X8 @ X9)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM122C_pme])])). 1.59/0.68 thf(c_0_2, negated_conjecture, ![X24:($i > $o) > ($i > $o) > $i > $o, X25:($i > $o) > ($i > $o) > $i > $o, X29:$i, X30:$i, X36:$i]:(((((((X25 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(X24 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(~(X25 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|((X24 @ (epred1_2 @ X24 @ X25) @ (epred2_2 @ X24 @ X25) @ X29)|(X25 @ (epred1_2 @ X24 @ X25) @ (epred2_2 @ X24 @ X25) @ X29))))&(((epred5_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X25 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|((X24 @ (epred1_2 @ X24 @ X25) @ (epred2_2 @ X24 @ X25) @ X29)|(X25 @ (epred1_2 @ X24 @ X25) @ (epred2_2 @ X24 @ X25) @ X29))))&(~(epred6_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X25 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|((X24 @ (epred1_2 @ X24 @ X25) @ (epred2_2 @ X24 @ X25) @ X29)|(X25 @ (epred1_2 @ X24 @ X25) @ (epred2_2 @ X24 @ X25) @ X29))))))&(((X25 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(X24 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(~(X24 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|((X24 @ (epred1_2 @ X24 @ X25) @ (epred2_2 @ X24 @ X25) @ X29)|(X25 @ (epred1_2 @ X24 @ X25) @ (epred2_2 @ X24 @ X25) @ X29))))&(((epred5_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X24 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|((X24 @ (epred1_2 @ X24 @ X25) @ (epred2_2 @ X24 @ X25) @ X29)|(X25 @ (epred1_2 @ X24 @ X25) @ (epred2_2 @ X24 @ X25) @ X29))))&(~(epred6_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X24 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|((X24 @ (epred1_2 @ X24 @ X25) @ (epred2_2 @ X24 @ X25) @ X29)|(X25 @ (epred1_2 @ X24 @ X25) @ (epred2_2 @ X24 @ X25) @ X29)))))))&((((X25 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(X24 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(~(X25 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|((X24 @ (epred2_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ X30)|(X25 @ (epred2_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ X30))))&(((epred5_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X25 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|((X24 @ (epred2_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ X30)|(X25 @ (epred2_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ X30))))&(~(epred6_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X25 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|((X24 @ (epred2_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ X30)|(X25 @ (epred2_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ X30))))))&(((X25 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(X24 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(~(X24 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|((X24 @ (epred2_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ X30)|(X25 @ (epred2_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ X30))))&(((epred5_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X24 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|((X24 @ (epred2_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ X30)|(X25 @ (epred2_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ X30))))&(~(epred6_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X24 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|((X24 @ (epred2_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ X30)|(X25 @ (epred2_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ X30))))))))&(((((X25 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(X24 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(~(X25 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|~(X25 @ (epred1_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ (esk1_2 @ X24 @ X25))))&(((epred5_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X25 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|~(X25 @ (epred1_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ (esk1_2 @ X24 @ X25))))&(~(epred6_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X25 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|~(X25 @ (epred1_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ (esk1_2 @ X24 @ X25))))))&(((X25 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(X24 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(~(X24 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|~(X25 @ (epred1_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ (esk1_2 @ X24 @ X25))))&(((epred5_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X24 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|~(X25 @ (epred1_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ (esk1_2 @ X24 @ X25))))&(~(epred6_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X24 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|~(X25 @ (epred1_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ (esk1_2 @ X24 @ X25)))))))&((((X25 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(X24 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(~(X25 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|~(X24 @ (epred1_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ (esk1_2 @ X24 @ X25))))&(((epred5_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X25 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|~(X24 @ (epred1_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ (esk1_2 @ X24 @ X25))))&(~(epred6_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X25 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|~(X24 @ (epred1_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ (esk1_2 @ X24 @ X25))))))&(((X25 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(X24 @ (epred5_2 @ X24 @ X25) @ (epred6_2 @ X24 @ X25) @ X36)|(~(X24 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|~(X24 @ (epred1_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ (esk1_2 @ X24 @ X25))))&(((epred5_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X24 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|~(X24 @ (epred1_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ (esk1_2 @ X24 @ X25))))&(~(epred6_2 @ X24 @ X25 @ (esk3_2 @ X24 @ X25))|(~(X24 @ (epred4_2 @ X24 @ X25) @ (epred4_2 @ X24 @ X25) @ (esk2_2 @ X24 @ X25))|~(X24 @ (epred1_2 @ X24 @ X25) @ (epred3_2 @ X24 @ X25) @ (esk1_2 @ X24 @ X25)))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])). 1.59/0.68 thf(c_0_3, negated_conjecture, ![X6:$i, X9:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred5_2 @ X2 @ X1) @ (epred6_2 @ X2 @ X1) @ X6)|(X2 @ (epred5_2 @ X2 @ X1) @ (epred6_2 @ X2 @ X1) @ X6)|(X2 @ (epred1_2 @ X2 @ X1) @ (epred2_2 @ X2 @ X1) @ X9)|(X1 @ (epred1_2 @ X2 @ X1) @ (epred2_2 @ X2 @ X1) @ X9)|~((X2 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.59/0.68 thf(c_0_4, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X6:$i, X9:$i]:((((epred6_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)=(epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))|((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)=(epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))|(X1 @ (epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred6_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ X6)|(X1 @ (epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ X9))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_3])). 1.59/0.68 thf(c_0_5, negated_conjecture, (((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|((epred6_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_4])). 1.59/0.68 thf(c_0_6, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X6:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((epred5_2 @ X1 @ X2 @ (esk3_2 @ X1 @ X2))|(X1 @ (epred1_2 @ X1 @ X2) @ (epred2_2 @ X1 @ X2) @ X6)|(X2 @ (epred1_2 @ X1 @ X2) @ (epred2_2 @ X1 @ X2) @ X6)|~((X2 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.59/0.68 thf(c_0_7, negated_conjecture, ![X370:$i]:((((epred6_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X370)<=>(epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X370))|((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))))), inference(arg_cong,[status(thm)],[c_0_5])). 1.59/0.68 thf(c_0_8, negated_conjecture, ![X6:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred1_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|(X1 @ (epred1_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ X6)|(epred5_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (esk3_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_6])). 1.59/0.68 thf(c_0_9, negated_conjecture, ![X6:$i, X9:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred5_2 @ X2 @ X1) @ (epred6_2 @ X2 @ X1) @ X6)|(X2 @ (epred5_2 @ X2 @ X1) @ (epred6_2 @ X2 @ X1) @ X6)|(X2 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X9)|(X1 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X9)|~((X2 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.59/0.68 thf(c_0_10, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X6:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred1_2 @ X1 @ X2) @ (epred2_2 @ X1 @ X2) @ X6)|(X2 @ (epred1_2 @ X1 @ X2) @ (epred2_2 @ X1 @ X2) @ X6)|~((epred6_2 @ X1 @ X2 @ (esk3_2 @ X1 @ X2)))|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.59/0.68 thf(c_0_11, negated_conjecture, ![X6:$i]:((((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|(epred6_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X6)|~((epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X6)))), inference(dynamic cnf,[status(thm)],[c_0_7])). 1.59/0.68 thf(c_0_12, negated_conjecture, (((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|(epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (esk3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_8])). 1.59/0.68 thf(c_0_13, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X6:$i, X9:$i]:((((epred6_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)=(epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))|((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))|(X1 @ (epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred6_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ X6)|(X1 @ (epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ X9))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_9])). 1.59/0.68 thf(c_0_14, negated_conjecture, ((epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11])])]), c_0_12])). 1.59/0.68 thf(c_0_15, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X6:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((epred5_2 @ X1 @ X2 @ (esk3_2 @ X1 @ X2))|(X1 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X6)|(X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X6)|~((X2 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.59/0.68 thf(c_0_16, negated_conjecture, (((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|((epred6_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))), inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_13]), c_0_14])). 1.59/0.68 thf(c_0_17, negated_conjecture, ![X6:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred3_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|(X1 @ (epred2_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred3_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ X6)|(epred5_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (esk3_2 @ X1 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_15])). 1.59/0.68 thf(c_0_18, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((epred5_2 @ X1 @ X2 @ (esk3_2 @ X1 @ X2))|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2)))|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.59/0.68 thf(c_0_19, negated_conjecture, ![X466:$i]:((((epred6_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X466)<=>(epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X466))|((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))))), inference(arg_cong,[status(thm)],[c_0_16])). 1.59/0.68 thf(c_0_20, negated_conjecture, (((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|(epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (esk3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_17])). 1.59/0.68 thf(c_0_21, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o]:(((epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1 @ (esk3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))|((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)!=(epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_18])). 1.59/0.68 thf(c_0_22, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X6:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X6)|(X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X6)|~((epred6_2 @ X1 @ X2 @ (esk3_2 @ X1 @ X2)))|~((X2 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.59/0.68 thf(c_0_23, negated_conjecture, ![X6:$i]:((((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|(epred6_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X6)|~((epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X6)))), inference(dynamic cnf,[status(thm)],[c_0_19])). 1.59/0.68 thf(c_0_24, negated_conjecture, (epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (esk3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))), inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_14]), c_0_21])). 1.59/0.68 thf(c_0_25, negated_conjecture, ![X6:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred5_2 @ X2 @ X1) @ (epred6_2 @ X2 @ X1) @ X6)|(X2 @ (epred5_2 @ X2 @ X1) @ (epred6_2 @ X2 @ X1) @ X6)|~((X1 @ (epred4_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1)))|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.59/0.68 thf(c_0_26, negated_conjecture, ((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred1_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23])])]), c_0_14]), c_0_24])])). 1.59/0.68 thf(c_0_27, negated_conjecture, ((epred6_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26])])])). 1.59/0.68 thf(c_0_28, negated_conjecture, ![X500:$i]:(((epred6_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X500)<=>(epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X500))), inference(arg_cong,[status(thm)],[c_0_27])). 1.59/0.68 thf(c_0_29, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:((~((epred6_2 @ X1 @ X2 @ (esk3_2 @ X1 @ X2)))|~((X1 @ (epred4_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2)))|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.59/0.68 thf(c_0_30, negated_conjecture, ![X6:$i]:(((epred6_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X6)|~((epred5_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X6)))), inference(dynamic cnf,[status(thm)],[c_0_28])). 1.59/0.68 thf(c_0_31, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30])])]), c_0_26]), c_0_24])]), ['proof']). 1.59/0.68 # SZS output end CNFRefutation 1.59/0.68 # Parsed axioms : 1 1.59/0.68 # Removed by relevancy pruning/SinE : 0 1.59/0.68 # Initial clauses : 24 1.59/0.68 # Removed in clause preprocessing : 0 1.59/0.68 # Initial clauses in saturation : 24 1.59/0.68 # Processed clauses : 324 1.59/0.68 # ...of these trivial : 10 1.59/0.68 # ...subsumed : 71 1.59/0.68 # ...remaining for further processing : 243 1.59/0.68 # Other redundant clauses eliminated : 40 1.59/0.68 # Clauses deleted for lack of memory : 0 1.59/0.68 # Backward-subsumed : 5 1.59/0.68 # Backward-rewritten : 15 1.59/0.68 # Generated clauses : 1838 1.59/0.68 # ...of the previous two non-redundant : 1517 1.59/0.68 # ...aggressively subsumed : 0 1.59/0.68 # Contextual simplify-reflections : 6 1.59/0.68 # Paramodulations : 1052 1.59/0.68 # Factorizations : 6 1.59/0.68 # NegExts : 6 1.59/0.68 # Equation resolutions : 40 1.59/0.68 # Propositional unsat checks : 0 1.59/0.68 # Propositional check models : 0 1.59/0.68 # Propositional check unsatisfiable : 0 1.59/0.68 # Propositional clauses : 0 1.59/0.68 # Propositional clauses after purity: 0 1.59/0.68 # Propositional unsat core size : 0 1.59/0.68 # Propositional preprocessing time : 0.000 1.59/0.68 # Propositional encoding time : 0.000 1.59/0.68 # Propositional solver time : 0.000 1.59/0.68 # Success case prop preproc time : 0.000 1.59/0.68 # Success case prop encoding time : 0.000 1.59/0.68 # Success case prop solver time : 0.000 1.59/0.68 # Current number of processed clauses : 93 1.59/0.68 # Positive orientable unit clauses : 8 1.59/0.68 # Positive unorientable unit clauses: 0 1.59/0.68 # Negative unit clauses : 3 1.59/0.68 # Non-unit-clauses : 82 1.59/0.68 # Current number of unprocessed clauses: 1215 1.59/0.68 # ...number of literals in the above : 5246 1.59/0.68 # Current number of archived formulas : 0 1.59/0.68 # Current number of archived clauses : 150 1.59/0.68 # Clause-clause subsumption calls (NU) : 2629 1.59/0.68 # Rec. Clause-clause subsumption calls : 992 1.59/0.68 # Non-unit clause-clause subsumptions : 64 1.59/0.68 # Unit Clause-clause subsumption calls : 158 1.59/0.68 # Rewrite failures with RHS unbound : 0 1.59/0.68 # BW rewrite match attempts : 14 1.59/0.68 # BW rewrite match successes : 6 1.59/0.68 # Condensation attempts : 0 1.59/0.68 # Condensation successes : 0 1.59/0.68 # Termbank termtop insertions : 897114 1.59/0.68 1.59/0.68 # ------------------------------------------------- 1.59/0.68 # User time : 0.201 s 1.59/0.68 # System time : 0.005 s 1.59/0.68 # Total time : 0.205 s 1.59/0.68 # Maximum resident set size: 1896 pages 1.59/0.68 1.59/0.68 # ------------------------------------------------- 1.59/0.68 # User time : 0.799 s 1.59/0.68 # System time : 0.017 s 1.59/0.68 # Total time : 0.816 s 1.59/0.68 # Maximum resident set size: 1712 pages 1.59/0.68 EOF