0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 25.08/25.18 % Command : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC 25.14/25.38 % Computer : n006.cluster.edu 25.14/25.38 % Model : x86_64 x86_64 25.14/25.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 25.14/25.38 % Memory : 8042.1875MB 25.14/25.38 % OS : Linux 3.10.0-693.el7.x86_64 25.14/25.38 % CPULimit : 1200 25.14/25.38 % WCLimit : 120 25.14/25.38 % DateTime : Tue Jul 13 14:17:37 EDT 2021 25.14/25.38 % CPUTime : 25.14/25.38 % Number of cores: 8 25.14/25.38 % Python version: Python 3.6.8 25.14/25.38 # Version: 2.6rc1-ho 30.59/30.85 # SinE strategy is gf120_h_gu_RUU_F100_L01000 30.59/30.85 # Trying AutoSched0 for 57 seconds 32.80/33.12 # AutoSched0-Mode selected heuristic SAT001_MinMin_x000000_rr 32.80/33.12 # and selection function SelectMaxLComplexAvoidPosPred. 32.80/33.12 # 32.80/33.12 # Preprocessing time : 0.620 s 32.80/33.12 # Presaturation interreduction done 32.80/33.12 32.80/33.12 # Proof found! 32.80/33.12 # SZS status Theorem 32.80/33.12 # SZS output start CNFRefutation 32.80/33.12 thf(thm_2Enumeral_2Enumeral__suc, axiom, (((mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Earithmetic_2EZERO)=(mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)&![X303:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2EBIT2 @ X303))=(mono_2Ec_2Earithmetic_2EBIT1 @ (mono_2Ec_2Enum_2ESUC @ X303)))&![X309:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2EBIT1 @ X309))=(mono_2Ec_2Earithmetic_2EBIT2 @ X309)), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP018^4.ax', thm_2Enumeral_2Enumeral__suc)). 32.80/33.12 thf(thm_2Earithmetic_2EWOP, axiom, ![X1345:mono_2Etyop_2Enum_2Enum > $o]:(?[X303:mono_2Etyop_2Enum_2Enum]:X1345 @ X303=>?[X1346:mono_2Etyop_2Enum_2Enum]:(X1345 @ X1346&![X650:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Eprim__rec_2E_3C @ X650 @ X1346=>~(X1345 @ X650)))), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP016^4.ax', thm_2Earithmetic_2EWOP)). 32.80/33.12 thf(thm_2Ecardinal_2ELE__1, axiom, (((((![X309:mono_2Etyop_2Enum_2Enum]:(~((X309)=(mono_2Ec_2Enum_2E0))=>mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X309)&![X618:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X618=>mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X618))&![X651:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X651<=mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X651))&![X1597:mono_2Etyop_2Enum_2Enum]:(~((X1597)=(mono_2Ec_2Enum_2E0))<=mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X1597))&![X21850:mono_2Etyop_2Enum_2Enum]:(~((X21850)=(mono_2Ec_2Enum_2E0))<=mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X21850))&![X303:mono_2Etyop_2Enum_2Enum]:(~((X303)=(mono_2Ec_2Enum_2E0))=>mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X303)), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP063^4.ax', thm_2Ecardinal_2ELE__1)). 32.80/33.12 thf(thm_2Earithmetic_2EALT__ZERO, axiom, (mono_2Ec_2Earithmetic_2EZERO)=(mono_2Ec_2Enum_2E0), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP016^4.ax', thm_2Earithmetic_2EALT__ZERO)). 32.80/33.12 thf(thm_2Eprim__rec_2ELESS__0__0, axiom, mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP015^4.ax', thm_2Eprim__rec_2ELESS__0__0)). 32.80/33.12 thf(thm_2Earithmetic_2EZERO__LESS__EQ, axiom, ![X309:mono_2Etyop_2Enum_2Enum]:mono_2Ec_2Earithmetic_2E_3C_3D @ mono_2Ec_2Enum_2E0 @ X309, file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP016^4.ax', thm_2Earithmetic_2EZERO__LESS__EQ)). 32.80/33.12 thf(thm_2Eprim__rec_2ENOT__LESS__0, axiom, ![X309:mono_2Etyop_2Enum_2Enum]:~(mono_2Ec_2Eprim__rec_2E_3C @ X309 @ mono_2Ec_2Enum_2E0), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP015^4.ax', thm_2Eprim__rec_2ENOT__LESS__0)). 32.80/33.12 thf(thm_2Einteger__word_2Ei2w__0, conjecture, ![X1:d]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Einteger__word_2Ei2w__0)). 32.80/33.12 thf(thm_2Einteger_2EINT__SUB__REFL, axiom, ![X24527:mono_2Etyop_2Einteger_2Eint]:(mono_2Ec_2Einteger_2Eint__sub @ X24527 @ X24527)=(mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP085^4.ax', thm_2Einteger_2EINT__SUB__REFL)). 32.80/33.12 thf(thm_2Einteger__word_2Eword__sub__i2w, axiom, ![X1:d, X57:u, X229:u]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__sub @ (j_mono_2Etyop_2Einteger_2Eint @ (s @ tyop_2Einteger_2Eint @ (c_2Einteger__word_2Ew2i_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X57)))) @ (j_mono_2Etyop_2Einteger_2Eint @ (s @ tyop_2Einteger_2Eint @ (c_2Einteger__word_2Ew2i_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X229)))))))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X57) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X229))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Einteger__word_2Eword__sub__i2w)). 32.80/33.12 thf(thm_2Ewords_2EWORD__SUB__REFL, axiom, ![X1:d, X19213:u]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X19213) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X19213)))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP090^4.ax', thm_2Ewords_2EWORD__SUB__REFL)). 32.80/33.12 thf(c_0_11, plain, ![X37224:mono_2Etyop_2Enum_2Enum, X37225:mono_2Etyop_2Enum_2Enum]:(((mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Earithmetic_2EZERO)=(mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)&(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2EBIT2 @ X37224))=(mono_2Ec_2Earithmetic_2EBIT1 @ (mono_2Ec_2Enum_2ESUC @ X37224)))&(mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2EBIT1 @ X37225))=(mono_2Ec_2Earithmetic_2EBIT2 @ X37225)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[thm_2Enumeral_2Enumeral__suc])])). 32.80/33.12 thf(c_0_12, plain, ![X1345:mono_2Etyop_2Enum_2Enum > $o]:(?[X303:mono_2Etyop_2Enum_2Enum]:X1345 @ X303=>?[X1346:mono_2Etyop_2Enum_2Enum]:(X1345 @ X1346&![X650:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Eprim__rec_2E_3C @ X650 @ X1346=>~X1345 @ X650))), inference(fof_simplification,[status(thm)],[thm_2Earithmetic_2EWOP])). 32.80/33.12 thf(c_0_13, plain, (((((![X309:mono_2Etyop_2Enum_2Enum]:((X309)!=(mono_2Ec_2Enum_2E0)=>mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X309)&![X618:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X618=>mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X618))&![X651:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X651=>mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X651))&![X1597:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X1597=>(X1597)!=(mono_2Ec_2Enum_2E0)))&![X21850:mono_2Etyop_2Enum_2Enum]:(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X21850=>(X21850)!=(mono_2Ec_2Enum_2E0)))&![X303:mono_2Etyop_2Enum_2Enum]:((X303)!=(mono_2Ec_2Enum_2E0)=>mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X303)), inference(fof_simplification,[status(thm)],[thm_2Ecardinal_2ELE__1])). 32.80/33.12 thf(c_0_14, plain, (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Earithmetic_2EZERO)=(mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO), inference(split_conjunct,[status(thm)],[c_0_11])). 32.80/33.12 thf(c_0_15, plain, (mono_2Ec_2Earithmetic_2EZERO)=(mono_2Ec_2Enum_2E0), inference(split_conjunct,[status(thm)],[thm_2Earithmetic_2EALT__ZERO])). 32.80/33.12 thf(c_0_16, plain, ![X37395:mono_2Etyop_2Enum_2Enum > $o, X37396:mono_2Etyop_2Enum_2Enum, X37398:mono_2Etyop_2Enum_2Enum]:((X37395 @ (esk250_1 @ X37395)|~X37395 @ X37396)&(~mono_2Ec_2Eprim__rec_2E_3C @ X37398 @ (esk250_1 @ X37395)|~X37395 @ X37398|~X37395 @ X37396)), 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_12])])])])])). 32.80/33.13 thf(c_0_17, plain, ![X35594:mono_2Etyop_2Enum_2Enum, X35595:mono_2Etyop_2Enum_2Enum, X35596:mono_2Etyop_2Enum_2Enum, X35597:mono_2Etyop_2Enum_2Enum, X35598:mono_2Etyop_2Enum_2Enum, X35599:mono_2Etyop_2Enum_2Enum]:(((((((X35594)=(mono_2Ec_2Enum_2E0)|mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X35594)&(~mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X35595|mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X35595))&(~mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X35596|mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X35596))&(~mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X35597|(X35597)!=(mono_2Ec_2Enum_2E0)))&(~mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X35598|(X35598)!=(mono_2Ec_2Enum_2E0)))&((X35599)=(mono_2Ec_2Enum_2E0)|mono_2Ec_2Earithmetic_2E_3C_3D @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ X35599)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])). 32.80/33.13 thf(c_0_18, plain, mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0), inference(split_conjunct,[status(thm)],[thm_2Eprim__rec_2ELESS__0__0])). 32.80/33.13 thf(c_0_19, plain, (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)=(mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15]), c_0_15])). 32.80/33.13 thf(c_0_20, plain, ![X278:mono_2Etyop_2Enum_2Enum, X280:mono_2Etyop_2Enum_2Enum > $o, X281:mono_2Etyop_2Enum_2Enum]:(~mono_2Ec_2Eprim__rec_2E_3C @ X278 @ (esk250_1 @ X280)|~X280 @ X278|~X280 @ X281), inference(split_conjunct,[status(thm)],[c_0_16])). 32.80/33.13 thf(c_0_21, plain, ![X278:mono_2Etyop_2Enum_2Enum]:((X278)=(mono_2Ec_2Enum_2E0)|mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X278), inference(split_conjunct,[status(thm)],[c_0_17])). 32.80/33.13 thf(c_0_22, plain, ![X35502:mono_2Etyop_2Enum_2Enum]:mono_2Ec_2Earithmetic_2E_3C_3D @ mono_2Ec_2Enum_2E0 @ X35502, inference(variable_rename,[status(thm)],[thm_2Earithmetic_2EZERO__LESS__EQ])). 32.80/33.13 thf(c_0_23, plain, ![X309:mono_2Etyop_2Enum_2Enum]:~mono_2Ec_2Eprim__rec_2E_3C @ X309 @ mono_2Ec_2Enum_2E0, inference(fof_simplification,[status(thm)],[thm_2Eprim__rec_2ENOT__LESS__0])). 32.80/33.13 thf(c_0_24, plain, ![X280:mono_2Etyop_2Enum_2Enum > $o, X278:mono_2Etyop_2Enum_2Enum]:(X280 @ (esk250_1 @ X280)|~X280 @ X278), inference(split_conjunct,[status(thm)],[c_0_16])). 32.80/33.13 thf(c_0_25, plain, mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0), inference(rw,[status(thm)],[c_0_18, c_0_19])). 32.80/33.13 thf(c_0_26, plain, ![X280:mono_2Etyop_2Enum_2Enum > $o, X278:mono_2Etyop_2Enum_2Enum]:((esk250_1 @ X280)=(mono_2Ec_2Enum_2E0)|~X280 @ mono_2Ec_2Enum_2E0|~X280 @ X278), inference(spm,[status(thm)],[c_0_20, c_0_21])). 32.80/33.13 thf(c_0_27, plain, ![X278:mono_2Etyop_2Enum_2Enum]:mono_2Ec_2Earithmetic_2E_3C_3D @ mono_2Ec_2Enum_2E0 @ X278, inference(split_conjunct,[status(thm)],[c_0_22])). 32.80/33.13 thf(c_0_28, plain, ![X37379:mono_2Etyop_2Enum_2Enum]:~mono_2Ec_2Eprim__rec_2E_3C @ X37379 @ mono_2Ec_2Enum_2E0, inference(variable_rename,[status(thm)],[c_0_23])). 32.80/33.13 thf(c_0_29, plain, mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (esk250_1 @ (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0)), inference(spm,[status(thm)],[c_0_24, c_0_25])). 32.80/33.13 thf(c_0_30, plain, (esk250_1 @ (mono_2Ec_2Earithmetic_2E_3C_3D @ mono_2Ec_2Enum_2E0))=(mono_2Ec_2Enum_2E0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_27])])). 32.80/33.13 thf(c_0_31, plain, ![X278:mono_2Etyop_2Enum_2Enum]:~mono_2Ec_2Eprim__rec_2E_3C @ X278 @ mono_2Ec_2Enum_2E0, inference(split_conjunct,[status(thm)],[c_0_28])). 32.80/33.13 thf(c_0_32, plain, (mono_2Ec_2Earithmetic_2E_3C_3D @ mono_2Ec_2Enum_2E0)!=(mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0), inference(sr,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_29, c_0_30]), c_0_31])). 32.80/33.13 thf(c_0_33, negated_conjecture, ~(![X1:d]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0))))), inference(assume_negation,[status(cth)],[thm_2Einteger__word_2Ei2w__0])). 32.80/33.13 thf(c_0_34, plain, ![X37037:mono_2Etyop_2Einteger_2Eint]:(mono_2Ec_2Einteger_2Eint__sub @ X37037 @ X37037)=(mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0), inference(variable_rename,[status(thm)],[thm_2Einteger_2EINT__SUB__REFL])). 32.80/33.13 thf(c_0_35, plain, ~mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ esk569_0, inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_32]), c_0_27])). 32.80/33.13 thf(c_0_36, negated_conjecture, (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))))!=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])). 32.80/33.13 thf(c_0_37, plain, ![X35144:d, X35145:u, X35146:u]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X35144) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__sub @ (j_mono_2Etyop_2Einteger_2Eint @ (s @ tyop_2Einteger_2Eint @ (c_2Einteger__word_2Ew2i_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X35144) @ X35145)))) @ (j_mono_2Etyop_2Einteger_2Eint @ (s @ tyop_2Einteger_2Eint @ (c_2Einteger__word_2Ew2i_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X35144) @ X35146)))))))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X35144) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X35144) @ X35145) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X35144) @ X35146))), inference(variable_rename,[status(thm)],[thm_2Einteger__word_2Eword__sub__i2w])). 32.80/33.13 thf(c_0_38, plain, ![X24031:mono_2Etyop_2Einteger_2Eint]:(mono_2Ec_2Einteger_2Eint__sub @ X24031 @ X24031)=(mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0), inference(split_conjunct,[status(thm)],[c_0_34])). 32.80/33.13 thf(c_0_39, plain, (mono_2Ec_2Enum_2E0)=(esk569_0), inference(spm,[status(thm)],[c_0_35, c_0_21])). 32.80/33.13 thf(c_0_40, plain, ![X36947:d, X36948:u]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X36947) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X36947) @ X36948) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X36947) @ X36948)))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X36947) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))), inference(variable_rename,[status(thm)],[thm_2Ewords_2EWORD__SUB__REFL])). 32.80/33.13 thf(c_0_41, negated_conjecture, (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))))!=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))), inference(split_conjunct,[status(thm)],[c_0_36])). 32.80/33.13 thf(c_0_42, plain, ![X1:d, X2:u, X3:u]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__sub @ (j_mono_2Etyop_2Einteger_2Eint @ (s @ tyop_2Einteger_2Eint @ (c_2Einteger__word_2Ew2i_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X2)))) @ (j_mono_2Etyop_2Einteger_2Eint @ (s @ tyop_2Einteger_2Eint @ (c_2Einteger__word_2Ew2i_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X3)))))))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X2) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X3))), inference(split_conjunct,[status(thm)],[c_0_37])). 32.80/33.14 thf(c_0_43, plain, ![X24031:mono_2Etyop_2Einteger_2Eint]:(mono_2Ec_2Einteger_2Eint__sub @ X24031 @ X24031)=(mono_2Ec_2Einteger_2Eint__of__num @ esk569_0), inference(rw,[status(thm)],[c_0_38, c_0_39])). 32.80/33.14 thf(c_0_44, plain, ![X2:u, X1:d]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X2) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X2)))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))), inference(split_conjunct,[status(thm)],[c_0_40])). 32.80/33.14 thf(c_0_45, negated_conjecture, (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ esk569_0)))))!=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ esk569_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_39]), c_0_39])). 32.80/33.14 thf(c_0_46, plain, ![X1:d]:(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ esk569_0)))))=(s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ esk569_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44]), c_0_39])). 32.80/33.14 thf(c_0_47, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_46])]), ['proof']). 32.80/33.14 # SZS output end CNFRefutation 32.80/33.14 # Proof object total steps : 48 32.80/33.14 # Proof object clause steps : 24 32.80/33.14 # Proof object formula steps : 24 32.80/33.14 # Proof object conjectures : 6 32.80/33.14 # Proof object clause conjectures : 3 32.80/33.14 # Proof object formula conjectures : 3 32.80/33.14 # Proof object initial clauses used : 12 32.80/33.14 # Proof object initial formulas used : 11 32.80/33.14 # Proof object generating inferences : 5 32.80/33.14 # Proof object simplifying inferences : 14 32.80/33.14 # Training examples: 0 positive, 0 negative 32.80/33.14 # Parsed axioms : 48436 32.80/33.14 # Removed by relevancy pruning/SinE : 47435 32.80/33.14 # Initial clauses : 2438 32.80/33.14 # Removed in clause preprocessing : 250 32.80/33.14 # Initial clauses in saturation : 2188 32.80/33.14 # Processed clauses : 5206 32.80/33.14 # ...of these trivial : 330 32.80/33.14 # ...subsumed : 2131 32.80/33.14 # ...remaining for further processing : 2745 32.80/33.14 # Other redundant clauses eliminated : 225 32.80/33.14 # Clauses deleted for lack of memory : 0 32.80/33.14 # Backward-subsumed : 6 32.80/33.14 # Backward-rewritten : 161 32.80/33.14 # Generated clauses : 22182 32.80/33.14 # ...of the previous two non-trivial : 9601 32.80/33.14 # Contextual simplify-reflections : 12 32.80/33.14 # Paramodulations : 21916 32.80/33.14 # Factorizations : 6 32.80/33.14 # NegExts : 3 32.80/33.14 # Equation resolutions : 241 32.80/33.14 # Propositional unsat checks : 0 32.80/33.14 # Propositional check models : 0 32.80/33.14 # Propositional check unsatisfiable : 0 32.80/33.14 # Propositional clauses : 0 32.80/33.14 # Propositional clauses after purity: 0 32.80/33.14 # Propositional unsat core size : 0 32.80/33.14 # Propositional preprocessing time : 0.000 32.80/33.14 # Propositional encoding time : 0.000 32.80/33.14 # Propositional solver time : 0.000 32.80/33.14 # Success case prop preproc time : 0.000 32.80/33.14 # Success case prop encoding time : 0.000 32.80/33.14 # Success case prop solver time : 0.000 32.80/33.14 # Current number of processed clauses : 880 32.80/33.14 # Positive orientable unit clauses : 271 32.80/33.14 # Positive unorientable unit clauses: 10 32.80/33.14 # Negative unit clauses : 319 32.80/33.14 # Non-unit-clauses : 280 32.80/33.14 # Current number of unprocessed clauses: 8037 32.80/33.14 # ...number of literals in the above : 14436 32.80/33.14 # Current number of archived formulas : 0 32.80/33.14 # Current number of archived clauses : 1759 32.80/33.14 # Clause-clause subsumption calls (NU) : 1722142 32.80/33.14 # Rec. Clause-clause subsumption calls : 200342 32.80/33.14 # Non-unit clause-clause subsumptions : 531 32.80/33.14 # Unit Clause-clause subsumption calls : 19048 32.80/33.14 # Rewrite failures with RHS unbound : 13 32.80/33.14 # BW rewrite match attempts : 4297 32.80/33.14 # BW rewrite match successes : 405 32.80/33.14 # Condensation attempts : 0 32.80/33.14 # Condensation successes : 0 32.80/33.14 # Termbank termtop insertions : 2955185 32.89/33.15 32.89/33.15 # ------------------------------------------------- 32.89/33.15 # User time : 7.491 s 32.89/33.15 # System time : 0.233 s 32.89/33.15 # Total time : 7.724 s 32.89/33.15 # Maximum resident set size: 97392 pages 32.89/33.16 EOF