0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.09/0.36 % Computer : n023.cluster.edu 0.09/0.36 % Model : x86_64 x86_64 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.36 % Memory : 8046.5625MB 0.09/0.36 % OS : Linux 6.8.0-71-generic 0.09/0.36 % CPULimit : 1440 0.09/0.36 % WCLimit : 180 0.09/0.36 % DateTime : Mon Jul 27 13:39:22 UTC 2026 0.09/0.36 % CPUTime : 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.09/0.41 Running higher-order theorem proving 6.22/6.53 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=180 /export/starexec/sandbox2/tmp/tmp.WHNTh3AgVr/E---3.1_984299.p 8.13/8.88 % Version: 3.5.1-ho 8.13/8.88 % Preprocessing class: HMLLSMLLSSLNSFA. 8.13/8.88 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 8.13/8.88 % Starting new_bool_8 with 716s (4) cores 8.13/8.88 % Starting post_as_ho5 with 358s (2) cores 8.13/8.88 % Starting new_bool_9 with 179s (1) cores 8.13/8.88 % Starting new_bool_3 with 179s (1) cores 8.13/8.88 % post_as_ho5 with pid 984313 completed with status 0 8.13/8.88 % Result found by post_as_ho5 8.13/8.88 % Preprocessing class: HMLLSMLLSSLNSFA. 8.13/8.88 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 8.13/8.88 % Starting new_bool_8 with 716s (4) cores 8.13/8.88 % Starting post_as_ho5 with 358s (2) cores 8.13/8.88 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)) 8.13/8.88 % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 8.13/8.88 % Search class: HGUSM-FSLM32-DSFFFFNN 8.13/8.88 % partial match(2): FGUSM-FSLM32-DFFFFFNN 8.13/8.88 % Scheduled 7 strats onto 2 cores with 358 seconds (358 total) 8.13/8.88 % Starting SubtermCWHack with 33s (1) cores 8.13/8.88 % Starting post_as_ho5 with 36s (1) cores 8.13/8.88 % SubtermCWHack with pid 984317 completed with status 0 8.13/8.88 % Result found by SubtermCWHack 8.13/8.88 % Preprocessing class: HMLLSMLLSSLNSFA. 8.13/8.88 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 8.13/8.88 % Starting new_bool_8 with 716s (4) cores 8.13/8.88 % Starting post_as_ho5 with 358s (2) cores 8.13/8.88 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)) 8.13/8.88 % SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 8.13/8.88 % Search class: HGUSM-FSLM32-DSFFFFNN 8.13/8.88 % partial match(2): FGUSM-FSLM32-DFFFFFNN 8.13/8.88 % Scheduled 7 strats onto 2 cores with 358 seconds (358 total) 8.13/8.88 % Starting SubtermCWHack with 33s (1) cores 8.13/8.88 % Preprocessing time : 0.009 s 8.13/8.88 8.13/8.88 % Proof found! 8.13/8.88 % SZS status Theorem 8.13/8.88 % SZS output start CNFRefutation 8.13/8.88 thf(decl_sort1, type, del: $tType). 8.13/8.88 thf(decl_sort2, type, tp__ty_2Enum_2Enum: $tType). 8.13/8.88 thf(decl_sort3, type, tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: $tType). 8.13/8.88 thf(decl_25, type, arr: del > del > del). 8.13/8.88 thf(decl_26, type, mem: $i > del > $o). 8.13/8.88 thf(decl_27, type, ap: $i > $i > $i). 8.13/8.88 thf(decl_87, type, ty_2Enum_2Enum: del). 8.13/8.88 thf(decl_88, type, inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i). 8.13/8.88 thf(decl_91, type, fo__c_2Enum_2E0: tp__ty_2Enum_2Enum). 8.13/8.88 thf(decl_196, type, ty_2Epair_2Eprod: del > del > del). 8.13/8.88 thf(decl_2085, type, ty_2Erealax_2Ereal: del). 8.13/8.88 thf(decl_2327, type, inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal > $i). 8.13/8.88 thf(decl_2328, type, surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: $i > tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal). 8.13/8.88 thf(decl_2589, type, c_2Ecomplex_2Ecomplex__inv: $i). 8.13/8.88 thf(decl_2592, type, c_2Ecomplex_2Ecomplex__of__num: $i). 8.13/8.88 thf(decl_2602, type, esk1_0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal). 8.13/8.88 thf(ap_tp, axiom, ![X1:del, X2:del, X8:$i]:(((mem @ X8 @ (arr @ X1 @ X2))=>![X4:$i]:(((mem @ X4 @ X1)=>(mem @ (ap @ X8 @ X4) @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.WHNTh3AgVr/E---3.1_984299.p', ap_tp)). 8.13/8.88 thf(conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ, conjecture, ![X25992:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal]:((((surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X25992)))!=(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))<=((X25992)!=(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))))), file('/export/starexec/sandbox2/tmp/tmp.WHNTh3AgVr/E---3.1_984299.p', conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ)). 8.13/8.88 thf(stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal, axiom, ![X4:$i]:(((mem @ X4 @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))=>((X4)=(inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.WHNTh3AgVr/E---3.1_984299.p', stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal)). 8.13/8.88 thf(mem_c_2Ecomplex_2Ecomplex__of__num, axiom, (mem @ c_2Ecomplex_2Ecomplex__of__num @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))), file('/export/starexec/sandbox2/tmp/tmp.WHNTh3AgVr/E---3.1_984299.p', mem_c_2Ecomplex_2Ecomplex__of__num)). 8.13/8.88 thf(mem_c_2Ecomplex_2Ecomplex__inv, axiom, (mem @ c_2Ecomplex_2Ecomplex__inv @ (arr @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))), file('/export/starexec/sandbox2/tmp/tmp.WHNTh3AgVr/E---3.1_984299.p', mem_c_2Ecomplex_2Ecomplex__inv)). 8.13/8.88 thf(stp_inj_mem_ty_2Enum_2Enum, axiom, ![X152:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X152) @ ty_2Enum_2Enum)), file('/export/starexec/sandbox2/tmp/tmp.WHNTh3AgVr/E---3.1_984299.p', stp_inj_mem_ty_2Enum_2Enum)). 8.13/8.88 thf(stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal, axiom, ![X23269:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal]:((mem @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X23269) @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))), file('/export/starexec/sandbox2/tmp/tmp.WHNTh3AgVr/E---3.1_984299.p', stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal)). 8.13/8.88 thf(conj_thm_2Ecomplex_2ECOMPLEX__INV__0, axiom, ((surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))=(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))), file('/export/starexec/sandbox2/tmp/tmp.WHNTh3AgVr/E---3.1_984299.p', conj_thm_2Ecomplex_2ECOMPLEX__INV__0)). 8.13/8.88 thf(conj_thm_2Ecomplex_2ECOMPLEX__INV__INV, axiom, ![X26053:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal]:(((surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X26053))))=(X26053))), file('/export/starexec/sandbox2/tmp/tmp.WHNTh3AgVr/E---3.1_984299.p', conj_thm_2Ecomplex_2ECOMPLEX__INV__INV)). 8.13/8.88 thf(c_0_9, plain, ![X26261:del, X26262:del, X26263:$i, X26264:$i]:((~(mem @ X26263 @ (arr @ X26261 @ X26262))|(~(mem @ X26264 @ X26261)|(mem @ (ap @ X26263 @ X26264) @ X26262)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])])). 8.13/8.88 thf(c_0_10, negated_conjecture, ~(![X25992:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal]:((((surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X25992)))!=(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))<=((X25992)!=(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))))), inference(assume_negation,[status(cth)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ])). 8.13/8.88 thf(c_0_11, plain, ![X26215:$i]:((~(mem @ X26215 @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))|((X26215)=(inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X26215))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[stp_iso_mem_c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal])])])). 8.13/8.88 thf(c_0_12, plain, ![X4:$i, X5:$i, X2:del, X1:del]:(((mem @ (ap @ X4 @ X5) @ X2)|~((mem @ X4 @ (arr @ X1 @ X2)))|~((mem @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_9])). 8.13/8.88 thf(c_0_13, plain, (mem @ c_2Ecomplex_2Ecomplex__of__num @ (arr @ ty_2Enum_2Enum @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))), inference(split_conjunct,[status(thm)],[mem_c_2Ecomplex_2Ecomplex__of__num])). 8.13/8.88 thf(c_0_14, negated_conjecture, ~(![X25992:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal]:((((X25992)!=(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))=>((surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X25992)))!=(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))))), inference(fof_simplification,[status(thm)],[c_0_10])). 8.13/8.88 thf(c_0_15, plain, (mem @ c_2Ecomplex_2Ecomplex__inv @ (arr @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal) @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))), inference(split_conjunct,[status(thm)],[mem_c_2Ecomplex_2Ecomplex__inv])). 8.13/8.88 thf(c_0_16, plain, ![X4:$i]:((((X4)=(inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X4)))|~((mem @ X4 @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))))), inference(split_conjunct,[status(thm)],[c_0_11])). 8.13/8.88 thf(c_0_17, plain, ![X4:$i]:(((mem @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ X4) @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 8.13/8.88 thf(c_0_18, negated_conjecture, (((esk1_0)!=(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))&((surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ esk1_0)))=(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])). 8.13/8.88 thf(c_0_19, plain, ![X26321:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X26321) @ ty_2Enum_2Enum)), inference(variable_rename,[status(thm)],[stp_inj_mem_ty_2Enum_2Enum])). 8.13/8.88 thf(c_0_20, plain, ![X4:$i]:(((mem @ (ap @ c_2Ecomplex_2Ecomplex__inv @ X4) @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))|~((mem @ X4 @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))))), inference(spm,[status(thm)],[c_0_12, c_0_15])). 8.13/8.88 thf(c_0_21, plain, ![X26213:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal]:((mem @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X26213) @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))), inference(variable_rename,[status(thm)],[stp_inj_mem_c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal])). 8.13/8.88 thf(c_0_22, plain, ![X4:$i]:((((inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ X4)))=(ap @ c_2Ecomplex_2Ecomplex__of__num @ X4))|~((mem @ X4 @ ty_2Enum_2Enum)))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 8.13/8.88 thf(c_0_23, negated_conjecture, ((surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ esk1_0)))=(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))), inference(split_conjunct,[status(thm)],[c_0_18])). 8.13/8.88 thf(c_0_24, plain, ![X140:tp__ty_2Enum_2Enum]:((mem @ (inj__ty_2Enum_2Enum @ X140) @ ty_2Enum_2Enum)), inference(split_conjunct,[status(thm)],[c_0_19])). 8.13/8.88 thf(c_0_25, plain, ![X4:$i]:((((inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ X4)))=(ap @ c_2Ecomplex_2Ecomplex__inv @ X4))|~((mem @ X4 @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))))), inference(spm,[status(thm)],[c_0_16, c_0_20])). 8.13/8.88 thf(c_0_26, plain, ![X23269:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal]:((mem @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X23269) @ (ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal))), inference(split_conjunct,[status(thm)],[c_0_21])). 8.13/8.88 thf(c_0_27, plain, ((surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))=(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))), inference(split_conjunct,[status(thm)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__0])). 8.13/8.88 thf(c_0_28, negated_conjecture, ((inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ esk1_0))))=(ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])])). 8.13/8.88 thf(c_0_29, plain, ![X23269:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal]:(((inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X23269))))=(ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X23269)))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 8.13/8.88 thf(c_0_30, plain, ![X26227:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal]:(((surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X26227))))=(X26227))), inference(variable_rename,[status(thm)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__INV])). 8.13/8.88 thf(c_0_31, negated_conjecture, ((esk1_0)!=(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0)))), inference(split_conjunct,[status(thm)],[c_0_18])). 8.13/8.88 thf(c_0_32, plain, ((surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))))=(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ esk1_0)))), inference(rw,[status(thm)],[c_0_27, c_0_23])). 8.13/8.88 thf(c_0_33, negated_conjecture, ((ap @ c_2Ecomplex_2Ecomplex__of__num @ (inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0))=(ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ esk1_0))), inference(rw,[status(thm)],[c_0_28, c_0_29])). 8.13/8.88 thf(c_0_34, plain, ![X23269:tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal]:(((surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ X23269))))=(X23269))), inference(split_conjunct,[status(thm)],[c_0_30])). 8.13/8.88 thf(c_0_35, negated_conjecture, ((surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ (ap @ c_2Ecomplex_2Ecomplex__inv @ (inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal @ esk1_0)))!=(esk1_0)), inference(rw,[status(thm)],[c_0_31, c_0_23])). 8.13/8.88 thf(c_0_36, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34]), c_0_35]), ['proof']). 8.13/8.88 % SZS output end CNFRefutation 8.13/8.88 % Parsed axioms : 17048 8.13/8.88 % Removed by relevancy pruning/SinE : 16976 8.13/8.88 % Initial clauses : 172 8.13/8.88 % Removed in clause preprocessing : 21 8.13/8.88 % Initial clauses in saturation : 151 8.13/8.88 % Processed clauses : 54 8.13/8.88 % ...of these trivial : 5 8.13/8.88 % ...subsumed : 1 8.13/8.88 % ...remaining for further processing : 48 8.13/8.88 % Other redundant clauses eliminated : 7 8.13/8.88 % Clauses deleted for lack of memory : 0 8.13/8.88 % Backward-subsumed : 0 8.13/8.88 % Backward-rewritten : 8 8.13/8.88 % Generated clauses : 100 8.13/8.88 % ...of the previous two non-redundant : 76 8.13/8.88 % ...aggressively subsumed : 0 8.13/8.88 % Contextual simplify-reflections : 0 8.13/8.88 % Paramodulations : 92 8.13/8.88 % Factorizations : 0 8.13/8.88 % NegExts : 0 8.13/8.88 % Equation resolutions : 8 8.13/8.88 % Disequality decompositions : 0 8.13/8.88 % Total rewrite steps : 73 8.13/8.88 % ...of those cached : 52 8.13/8.88 % Propositional unsat checks : 0 8.13/8.88 % Propositional check models : 0 8.13/8.88 % Propositional check unsatisfiable : 0 8.13/8.88 % Propositional clauses : 0 8.13/8.88 % Propositional clauses after purity: 0 8.13/8.88 % Propositional unsat core size : 0 8.13/8.88 % Propositional preprocessing time : 0.000 8.13/8.88 % Propositional encoding time : 0.000 8.13/8.88 % Propositional solver time : 0.000 8.13/8.88 % Success case prop preproc time : 0.000 8.13/8.88 % Success case prop encoding time : 0.000 8.13/8.88 % Success case prop solver time : 0.000 8.13/8.88 % Current number of processed clauses : 37 8.13/8.88 % Positive orientable unit clauses : 21 8.13/8.88 % Positive unorientable unit clauses: 0 8.13/8.88 % Negative unit clauses : 1 8.13/8.88 % Non-unit-clauses : 15 8.13/8.88 % Current number of unprocessed clauses: 170 8.13/8.88 % ...number of literals in the above : 625 8.13/8.88 % Current number of archived formulas : 0 8.13/8.88 % Current number of archived clauses : 8 8.13/8.88 % Clause-clause subsumption calls (NU) : 53 8.13/8.88 % Rec. Clause-clause subsumption calls : 53 8.13/8.88 % Non-unit clause-clause subsumptions : 1 8.13/8.88 % Unit Clause-clause subsumption calls : 0 8.13/8.88 % Rewrite failures with RHS unbound : 0 8.13/8.88 % BW rewrite match attempts : 15 8.13/8.88 % BW rewrite match successes : 5 8.13/8.88 % Condensation attempts : 0 8.13/8.88 % Condensation successes : 0 8.13/8.88 % Termbank termtop insertions : 1092876 8.13/8.88 % Search garbage collected termcells : 358224 8.13/8.88 8.13/8.88 % ------------------------------------------------- 8.13/8.88 % User time : 0.270 s 8.13/8.88 % System time : 0.141 s 8.13/8.88 % Total time : 0.411 s 8.13/8.88 % Maximum resident set size: 74096 pages 8.13/8.88 8.13/8.88 % ------------------------------------------------- 8.13/8.88 % User time : 2.103 s 8.13/8.88 % System time : 0.254 s 8.13/8.88 % Total time : 2.357 s 8.13/8.88 % Maximum resident set size: 69120 pages 8.13/8.88 % E exiting 8.13/8.89 EOF