0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.09 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.08/0.29 % Computer : n028.cluster.edu 0.08/0.29 % Model : x86_64 x86_64 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.29 % Memory : 8042.1875MB 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.29 % CPULimit : 1920 0.08/0.29 % WCLimit : 240 0.08/0.29 % DateTime : Wed Jul 30 02:39:19 EDT 2025 0.08/0.29 % CPUTime : 0.14/0.40 Running higher-order theorem proving 0.14/0.40 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=240 /export/starexec/sandbox/tmp/tmp.8bWs2qmskc/E---3.1_19415.p 1.71/0.63 # Version: 3.0.0-ho 1.71/0.63 # Preprocessing class: HSSSSMSSSSMNHHA. 1.71/0.63 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.71/0.63 # Starting post_as_ho5 with 1200s (5) cores 1.71/0.63 # Starting sh2lt with 240s (1) cores 1.71/0.63 # Starting ehoh_best8_lambda with 240s (1) cores 1.71/0.63 # Starting post_as_ho10 with 240s (1) cores 1.71/0.63 # post_as_ho5 with pid 19493 completed with status 0 1.71/0.63 # Result found by post_as_ho5 1.71/0.63 # Preprocessing class: HSSSSMSSSSMNHHA. 1.71/0.63 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.71/0.63 # Starting post_as_ho5 with 1200s (5) cores 1.71/0.63 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 1.71/0.63 # Search class: HGUNF-FFMF22-SHHFFMBN 1.71/0.63 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 1.71/0.63 # Starting ehoh_best_nonlift with 649s (1) cores 1.71/0.63 # Starting post_as_ho5 with 121s (1) cores 1.71/0.63 # Starting sh2l with 109s (1) cores 1.71/0.63 # Starting lpo1_def_fix with 109s (1) cores 1.71/0.63 # Starting ehoh_best3_rw with 109s (1) cores 1.71/0.63 # ehoh_best3_rw with pid 19503 completed with status 0 1.71/0.63 # Result found by ehoh_best3_rw 1.71/0.63 # Preprocessing class: HSSSSMSSSSMNHHA. 1.71/0.63 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.71/0.63 # Starting post_as_ho5 with 1200s (5) cores 1.71/0.63 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 1.71/0.63 # Search class: HGUNF-FFMF22-SHHFFMBN 1.71/0.63 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 1.71/0.63 # Starting ehoh_best_nonlift with 649s (1) cores 1.71/0.63 # Starting post_as_ho5 with 121s (1) cores 1.71/0.63 # Starting sh2l with 109s (1) cores 1.71/0.63 # Starting lpo1_def_fix with 109s (1) cores 1.71/0.63 # Starting ehoh_best3_rw with 109s (1) cores 1.71/0.63 # Preprocessing time : 0.001 s 1.71/0.63 # Presaturation interreduction done 1.71/0.63 1.71/0.63 # Proof found! 1.71/0.63 # SZS status Theorem 1.71/0.63 # SZS output start CNFRefutation 1.71/0.63 thf(decl_23, type, epred1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.71/0.63 thf(decl_24, type, esk1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 1.71/0.63 thf(decl_25, type, epred2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.71/0.63 thf(decl_26, type, epred3_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.71/0.63 thf(decl_27, type, epred4_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 1.71/0.63 thf(decl_28, type, esk2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i). 1.71/0.63 thf(cTHM120D_pme, conjecture, ?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((![X3:$i > $o, X4:$i]:(((X1 @ X3 @ X3 @ X4)|(X2 @ X3 @ X3 @ X4)))&![X3:$i > $o, X5:$i > $o, X6:$i > $o]:((![X4:$i]:(((X2 @ X3 @ X6 @ X4)|(X1 @ X3 @ X6 @ X4)))<=(![X4:$i]:(((X1 @ X3 @ X5 @ X4)|(X2 @ X3 @ X5 @ X4)))&![X4:$i]:(((X1 @ X5 @ X6 @ X4)|(X2 @ X5 @ X6 @ X4)))))))&~(![X4:$i]:(((X2 @ (^[X7:$i]:(($true))) @ (^[X8:$i]:(~($true))) @ X4)|(X1 @ (^[X9:$i]:(($true))) @ (^[X10:$i]:(~($true))) @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.8bWs2qmskc/E---3.1_19415.p', cTHM120D_pme)). 1.71/0.63 thf(c_0_1, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((![X3:$i > $o, X4:$i]:(((X1 @ X3 @ X3 @ X4)|(X2 @ X3 @ X3 @ X4)))&![X3:$i > $o, X5:$i > $o, X6:$i > $o]:(((![X4:$i]:(((X1 @ X3 @ X5 @ X4)|(X2 @ X3 @ X5 @ X4)))&![X4:$i]:(((X1 @ X5 @ X6 @ X4)|(X2 @ X5 @ X6 @ X4))))=>![X4:$i]:(((X2 @ X3 @ X6 @ X4)|(X1 @ X3 @ X6 @ X4))))))&~(![X4:$i]:(((X2 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X4)|(X1 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X4))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM120D_pme])])])). 1.71/0.63 thf(c_0_2, negated_conjecture, ![X22:($i > $o) > ($i > $o) > $i > $o, X23:($i > $o) > ($i > $o) > $i > $o, X29:$i, X30:$i, X32:$i]:((((((X22 @ (epred2_2 @ X22 @ X23) @ (epred3_2 @ X22 @ X23) @ X29)|(X23 @ (epred2_2 @ X22 @ X23) @ (epred3_2 @ X22 @ X23) @ X29)|~(X22 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32)|(X22 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32)))&((X22 @ (epred3_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ X30)|(X23 @ (epred3_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ X30)|~(X22 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32)|(X22 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32))))&((~(X23 @ (epred2_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ (esk2_2 @ X22 @ X23))|~(X22 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32)|(X22 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32)))&(~(X22 @ (epred2_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ (esk2_2 @ X22 @ X23))|~(X22 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32)|(X22 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32)))))&((((X22 @ (epred2_2 @ X22 @ X23) @ (epred3_2 @ X22 @ X23) @ X29)|(X23 @ (epred2_2 @ X22 @ X23) @ (epred3_2 @ X22 @ X23) @ X29)|~(X23 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32)|(X22 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32)))&((X22 @ (epred3_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ X30)|(X23 @ (epred3_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ X30)|~(X23 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32)|(X22 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32))))&((~(X23 @ (epred2_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ (esk2_2 @ X22 @ X23))|~(X23 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32)|(X22 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32)))&(~(X22 @ (epred2_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ (esk2_2 @ X22 @ X23))|~(X23 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32)|(X22 @ (^[Z0/* 1 */:$i]:($true)) @ (^[Z0/* 7 */:$i]:(~($true))) @ X32))))))), 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])])])])])])). 1.71/0.63 thf(c_0_3, negated_conjecture, ![X4:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 7 */:$i]:(~(($true)))) @ X4)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 7 */:$i]:(~(($true)))) @ X4)|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1)))|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.71/0.63 thf(c_0_4, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 7 */:$i]:(~(($true)))) @ X4)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 7 */:$i]:(~(($true)))) @ X4)|~((X1 @ (epred2_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2)))|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.71/0.63 thf(c_0_5, negated_conjecture, ![X4:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_3])). 1.71/0.63 thf(c_0_6, negated_conjecture, ![X4:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 7 */:$i]:(~(($true)))) @ X4)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 7 */:$i]:(~(($true)))) @ X4)|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1)))|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.71/0.63 thf(c_0_7, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X7:$i, X4:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X4)|(X2 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X4)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 7 */:$i]:(~(($true)))) @ X7)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 7 */:$i]:(~(($true)))) @ X7)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.71/0.63 thf(c_0_8, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X1 @ (epred2_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_4])). 1.71/0.63 thf(c_0_9, negated_conjecture, ![X4:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|~((X1 @ (epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (esk2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_5])). 1.71/0.63 thf(c_0_10, negated_conjecture, ![X4:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_6])). 1.71/0.63 thf(c_0_11, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X7:$i, X4:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X4)|(X2 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X4)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X7)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X7)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_7])). 1.71/0.63 thf(c_0_12, negated_conjecture, ![X4:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|((epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)!=(epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_8])). 1.71/0.63 thf(c_0_13, negated_conjecture, ![X4:$i, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|~((X1 @ (epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (esk2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_9])])). 1.71/0.63 thf(c_0_14, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X7:$i, X4:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X4)|(X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X4)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 7 */:$i]:(~(($true)))) @ X7)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 7 */:$i]:(~(($true)))) @ X7)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.71/0.63 thf(c_0_15, negated_conjecture, ![X4:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((^[Z0/* 4 */:$i]:(~($true)))=(^[Z0/* 3 */:$i]:(($true))))|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|((epred4_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_10])). 1.71/0.63 thf(c_0_16, plain, ![X4:$i, X7:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X2 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X4)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X7)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X7)|((X1 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X4)<~>(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X7))|~((X1 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(ext_eqfact,[status(thm)],[c_0_11])). 1.71/0.63 thf(c_0_17, negated_conjecture, ![X4:$i, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|((epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)!=(epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_12])])). 1.71/0.63 thf(c_0_18, negated_conjecture, (((epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~(Z0))))=(epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~(Z0)))))|((^[Z0/* 4 */:$i]:(~($true)))!=(^[Z0/* 3 */:$i]:(($true))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_13])). 1.71/0.63 thf(c_0_19, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X7:$i, X4:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X4)|(X2 @ (epred2_2 @ X1 @ X2) @ (epred3_2 @ X1 @ X2) @ X4)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X7)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X7)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_14])). 1.71/0.63 thf(c_0_20, negated_conjecture, ![X4:$i, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X4)|((epred4_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(epred2_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))))), inference(cn,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_15])])). 1.71/0.63 thf(c_0_21, plain, ![X1:($i > $o) > ($i > $o) > $i > $o, X7:$i, X4:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X4)|(X2 @ (epred3_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ X4)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X7)|(X2 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X7)|~((X2 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_16])])])). 1.71/0.63 thf(c_0_22, negated_conjecture, ((^[Z0/* 4 */:$i]:(~($true)))!=(^[Z0/* 3 */:$i]:(($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18])])])). 1.71/0.63 thf(c_0_23, negated_conjecture, ![X7:$i, X4:$i, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ X1) @ (epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ X1) @ X4)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X7)|~((X1 @ (epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ X1) @ (epred1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ X1) @ (esk1_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ X1))))), inference(primitive_enumeration,[status(thm)],[c_0_19])). 1.71/0.63 thf(c_0_24, negated_conjecture, ((epred4_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))!=(epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))), inference(primitive_enumeration,[status(thm)],[c_0_20])). 1.71/0.63 thf(c_0_25, plain, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X7:$i]:((((epred4_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred3_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))))|(X1 @ (epred3_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ (epred4_2 @ X1 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0)))) @ X4)|(X1 @ (^[Z0/* 3 */:$i]:(($true))) @ (^[Z0/* 4 */:$i]:(~($true))) @ X7))), inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_21]), c_0_22])). 1.71/0.63 thf(c_0_26, negated_conjecture, ((epred3_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))=(epred2_2 @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))) @ (^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))))), inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_23]), c_0_22])). 1.71/0.63 thf(c_0_27, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])]), ['proof']). 1.71/0.63 # SZS output end CNFRefutation 1.71/0.63 # Parsed axioms : 1 1.71/0.63 # Removed by relevancy pruning/SinE : 0 1.71/0.63 # Initial clauses : 8 1.71/0.63 # Removed in clause preprocessing : 0 1.71/0.63 # Initial clauses in saturation : 8 1.71/0.63 # Processed clauses : 386 1.71/0.63 # ...of these trivial : 16 1.71/0.63 # ...subsumed : 98 1.71/0.63 # ...remaining for further processing : 272 1.71/0.63 # Other redundant clauses eliminated : 17 1.71/0.63 # Clauses deleted for lack of memory : 0 1.71/0.63 # Backward-subsumed : 40 1.71/0.63 # Backward-rewritten : 8 1.71/0.63 # Generated clauses : 1853 1.71/0.63 # ...of the previous two non-redundant : 1281 1.71/0.63 # ...aggressively subsumed : 0 1.71/0.63 # Contextual simplify-reflections : 1 1.71/0.63 # Paramodulations : 893 1.71/0.63 # Factorizations : 4 1.71/0.63 # NegExts : 25 1.71/0.63 # Equation resolutions : 17 1.71/0.63 # Disequality decompositions : 0 1.71/0.63 # Total rewrite steps : 75 1.71/0.63 # ...of those cached : 46 1.71/0.63 # Propositional unsat checks : 0 1.71/0.63 # Propositional check models : 0 1.71/0.63 # Propositional check unsatisfiable : 0 1.71/0.63 # Propositional clauses : 0 1.71/0.63 # Propositional clauses after purity: 0 1.71/0.63 # Propositional unsat core size : 0 1.71/0.63 # Propositional preprocessing time : 0.000 1.71/0.63 # Propositional encoding time : 0.000 1.71/0.63 # Propositional solver time : 0.000 1.71/0.63 # Success case prop preproc time : 0.000 1.71/0.63 # Success case prop encoding time : 0.000 1.71/0.63 # Success case prop solver time : 0.000 1.71/0.63 # Current number of processed clauses : 178 1.71/0.63 # Positive orientable unit clauses : 27 1.71/0.63 # Positive unorientable unit clauses: 5 1.71/0.63 # Negative unit clauses : 12 1.71/0.63 # Non-unit-clauses : 134 1.71/0.63 # Current number of unprocessed clauses: 905 1.71/0.63 # ...number of literals in the above : 3520 1.71/0.63 # Current number of archived formulas : 0 1.71/0.63 # Current number of archived clauses : 94 1.71/0.63 # Clause-clause subsumption calls (NU) : 2355 1.71/0.63 # Rec. Clause-clause subsumption calls : 1365 1.71/0.63 # Non-unit clause-clause subsumptions : 75 1.71/0.63 # Unit Clause-clause subsumption calls : 360 1.71/0.63 # Rewrite failures with RHS unbound : 0 1.71/0.63 # BW rewrite match attempts : 1197 1.71/0.63 # BW rewrite match successes : 221 1.71/0.63 # Condensation attempts : 0 1.71/0.63 # Condensation successes : 0 1.71/0.63 # Termbank termtop insertions : 486137 1.71/0.63 # Search garbage collected termcells : 281 1.71/0.63 1.71/0.63 # ------------------------------------------------- 1.71/0.63 # User time : 0.210 s 1.71/0.63 # System time : 0.004 s 1.71/0.63 # Total time : 0.214 s 1.71/0.63 # Maximum resident set size: 1868 pages 1.71/0.63 1.71/0.63 # ------------------------------------------------- 1.71/0.63 # User time : 1.047 s 1.71/0.63 # System time : 0.029 s 1.71/0.63 # Total time : 1.076 s 1.71/0.63 # Maximum resident set size: 1724 pages 1.71/0.63 % E exiting 1.71/0.63 % E exiting 1.71/0.63 EOF